CN107919040B - Demonstration model of large theorem of Verma - Google Patents

Abstract

A Firman big theorem demonstration model relates to the field of mathematics teaching and scientific research of primary and middle schools, and aims to construct a mathematical model of the Firman big theorem and solve two problems of mathematics teaching and scientific popularization; the invention is composed of a rectangular grid bottom plate (1), a universal integrated circuit board (2), a positive integer n-degree power and power type plate (3) and a touch screen switch cover plate (4), wherein a Fischer-Tropsch inequality parameter method and a combined display plate assembling method are applied to a plurality of blocks respectively to form a three-time display plate (5), a four-time display plate (6), a five-time display plate (7), a six-time display plate (8), a seven-time display plate (9), an eight-time display plate (10), a nine-time display plate (11), an n-time universal display plate (12), an n-time variable four-color display plate (13) and a base (14), and the display plates are sequentially and horizontally inserted into opposite concave grooves on the inner sides of wall plates erected in the front and back of the base (; the big theorem of the Verma is demonstrated by utilizing different colors of each rectangular grid on a display board or utilizing the lamplight of an electric lamp in an integrated circuit to display the Verma inequality, wherein the positive integer n is more than or equal to 3.

Description

Demonstration model of large theorem of Verma

Technical Field

A Firman big theorem demonstration model relates to the fields of mathematics teaching in primary and middle schools, research in colleges and universities and scientific research institutions and the popularization field of urban and rural community mathematics science, aims to construct a mathematical model of the Firman big theorem, explores the missing proof of the Firman big theorem, solves the technical problem of proving the Firman big theorem by applying a polynomial multiplication formula or Newton binomial theorem, and opens up a cognitive way of deeply knowing the Firman big theorem in junior middle school mathematics teaching, high school mathematics exploration and social science popularization activities, thereby training the mathematical science quality and the application mathematics science of readers to create continuous innovation.

Background

In ancient China, workers find the structural rule of 'three-strand four-string must five' in the labor of building houses, bridges, furniture and the like, and in the mathematical science, the rule is called the Pythagorean theorem in plane geometry, and the mathematical expression is 3²+4²＝5²The general algebraic equation expressed by Arabic letters with formalized characteristics is a²+b²＝c²Wherein, the letters a, b and c are positive real numbers; the Pythagorean theorem researched by the invention is the Pythagorean theorem a in which letters a, b and c are positive integers under known conditions in ancient plane geometry²+b²＝c²(ii) a 1637 France oneA young person, named Fimat 1601-1665, thought to be a more general problem when reading the eighth proposition "divide a square number into the sum of two square numbers" from the second book of the arithmetic book of ancient Greek. Then he writes a similarly annotated piece of text in the blank space of the book, the content being roughly: "it is impossible to divide the power of a positive integer into the sum of powers of two positive integers, it is impossible to divide a power of a positive integer greater than 2 into the sum of powers of two positive integers; in this regard, i have discovered a smart method to prove; unfortunately, there is a limited space and is not written down. The term written by the Verma has three meanings, the first layer means the divergent expansion of the Pythagorean theorem, the second layer means the Lagowski theorem can prove that the conclusion becomes the large Verma theorem, and the third layer means that the Verma certifications are not written with characters to be communicated and transmitted, so that the Verma theorem is completely lost, and the Verma certifications are said to be lost.

The Fermat's theorem-a positive integer greater than 2 powers squared, is not equal to the sum of the powers of the same power of any two positive integers, i.e.: if x, y, z and n are all positive integers and n is more than or equal to 3, then xⁿ+yⁿ≠zⁿ。

To prove the Verma theorem, x is provedⁿ+yⁿ≠1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ… …; if the following is proved: there is a unique positive integer m such that mⁿ＜xⁿ+yⁿ＜(m+1)ⁿThat is, any xⁿ+yⁿIs sandwiched between two adjacent positive integers m and m +1 to the same power, i.e. xⁿ+yⁿ≠1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ… …, i.e. Called xⁿ+yⁿ≠zⁿIn this syndrome, the resulting inequality is called the fermat inequality.

Two definite forms of fermatThe sum of powers of a number greater than 2 is always uniquely sandwiched between powers of two adjacent positive integers, namely: if x, y, z, n are all positive integers and n is greater than or equal to 3, then there is a unique positive integer m, such that mⁿ＜xⁿ+yⁿ＜(m+1)ⁿI.e. xⁿ+yⁿ≠zⁿ。

The above method of demonstrating the large theorem of Verma is understandable and understandable by readers with a level of junior middle school mathematical culture, although for a particular form of 5³+9³，5⁴+9⁴，5⁵+9⁵，5⁶+9⁵The power of the same power sum of … … can be proved to be the corresponding fermat inequality, but it is certainly not written to, and seems to be similar to the lost proof of the large theorem of fermat; the problem is that the proof of the idea can be simplified by applying the mathematical proof skill, which is the main background of the invention, and the conclusion shows that: the demonstration model of the large fermat theorem is a mathematical model which is proved by the large fermat theorem through simplification, guides a reader to directly read a large fermat inequality and obtains the large fermat theorem.

In 1995, the great mathematic scientists of imperial people, namely wales, became the famous great mathematic scientists of the united states because the mathematic theories and methods of modern times and modern times are applied to prove the large theory of wales, and the data scientists introduce the theory, so far, the total number of the scientists in the world can understand that the number of the learners of wales is less than 1000, and the large difficulty proved by the large theory of wales can be seen, the teaching difficulty of each layer of mathematics is more difficult, and the mathematic proving skill is most.

By 2016, there were few teaching instruments and mathematical models for demonstrating the theory of Fermat's theorem worldwide, and except for some mathematical papers related to the theory of Fermat's theorem, there were no inventions that were the same as the studies and influence the originality of the present invention.

Influenced by exponential operation property or function change, the ternary function F (x, y, z) is not x all over the worldⁿ+yⁿ-zⁿStereo image in three-dimensional space and method for generating a binary function G (x, y) ═ xⁿ+yⁿPlanar images in two-dimensional space for visualizingThe large Verma theorem and the large Verma inequality are visually expressed, and the image method applying the function has no effect on researching the large Verma theorem.

In the last 20 years, the inventor has studied the Goldbach conjecture, the 3x +1 conjecture, the four-color conjecture, the Verma theorem and the complete number problem, and the 5 problems are famous international mathematical problems and are also mathematical problems which are difficult for international mathematicians to complete the certification within three-five hundred years.

In order to solve the problems of interesting and rich concepts related to the reformation of mathematic courses and teaching in primary and secondary schools, after researching a 3x +1 conjecture model, a four-color map model and a Goldbach conjecture model, an inventor starts to design and develop the invention; in the process of comparing and exploring an analytical method, an image method and a table method of an application function, the application table method is ingeniously created, and the key technical problem of directly displaying the Verma inequality conclusion is solved by combining an integrated circuit and a four-color diagram.

Disclosure of Invention

The invention discloses a large Firman theorem demonstration model, which relates to the fields of mathematical teaching of primary and middle schools and scientific research, and is characterized in that a function form method, a light display method of an integrated circuit and a four-color graphic method are applied to directly solve the problem of displaying a conclusion, the demonstration model is manufactured, the certification process is simplified, the certification time is saved, and the certification range is greatly reduced.

The object of the present invention is achieved by the following means.

The invention relates to a large theory demonstration model of a Verma, which relates to the field of mathematics teaching and scientific research of primary and middle schools, and consists of a rectangular grid bottom plate 1, a universal integrated circuit board 2, a positive integer n-degree type idempotent sum-form plate 3, a touch screen switch cover plate 4, a cubic display plate 5, a quartic display plate 6, a quintic display plate 7, a sextic display plate 8, a heptad display plate 9, an octad display plate 10, a nonad display plate 11, an n-degree universal display plate 12, an n-degree variable quadric display plate 13 and a base 14 which are respectively assembled by applying a Verma inequality parameter method and a combined assembly display plate method; sequentially inserting 1 rectangular grid bottom plate 1, a universal integrated circuit board 2, a positive integer n-th power and square type plate 3, a touch screen switch cover plate 4, a third display plate 5, a fourth display plate 6, a fifth display plate 7, a sixth display plate 8, a seventh display plate 9, an eighth display plate 10, a ninth display plate 11, an n-th universal display plate 12 and an n-th variable four-color display plate 13 into concave grooves opposite to the inner sides of front and rear vertical wall plates in a base 14 from bottom to top respectively; the 1 st pair of concave grooves on the uppermost inner sides of the two wallboards of the base 14 are display board electrifying display concave grooves, the 2 nd pair of concave grooves are standby concave grooves, the bottom surface of the uppermost concave groove of the rear wallboard is opposite to two cylindrical jacks on the tertiary display board 5, which are communicated with power supply wiring terminals a and f, two cylindrical holes are drilled through and are power supply wire jacks, and the Firman theorem demonstration model is manufactured; the display board of different times of demonstration model of large theory of Verma is applied, overlook the square power above the diagonal in the rectangle below the upper surface and the different color in the square grid of the rectangle where the formula is located or close the switch k of the integrated circuit to make the electric lamp emit different color lights, display the inequality of Verma, and the demonstration large theory of Verma is established, wherein, the positive integer n is more than or equal to 3.

The above-mentioned Verma theorem refers to a positive integer greater than 2 powers, not equal to the sum of the powers of the same power of any two positive integers, i.e.: if x, y, z and n are all positive integers and n is more than or equal to 3, then xⁿ+yⁿ≠zⁿ。

The aforementioned fermat inequality refers to the sum of two positive integers greater than the power of 2, always being uniquely sandwiched between the powers of two adjacent positive integers, namely: if x, y, z, n are all positive integers and n is greater than or equal to 3, then there is a unique positive integer m, such that mⁿ＜xⁿ+yⁿ＜(m+1)ⁿI.e. xⁿ+yⁿ≠zⁿ。

The positive integer greater than 2 is the power x³，x⁴，x⁵，x⁶，……，y³，y⁴，y⁵，y⁶，……，z³，z⁴，z⁵，z⁶，……，m³，m⁴，m⁵，m⁶… … wherein x, y, z, m are all positiveAn integer number.

The positive integer power of n and the formula refer to the addition formula x of the power of the same power that any two positive integers are more than 2ⁿ+yⁿThe result of the calculation after assigning values to x, y and n is called the power sum of n powers of the sum y of positive integers x, y and n, wherein x, y and n are all positive integers, n is more than or equal to 3, the power sum refers to the addition formula of the powers of the same power, the power sum refers to the value of the power sum of the same power, and 2³+3³Is a sum of powers of 3, 2³+3³35, the term 35 is a 3-power sum, using the alphabetical sum of two positive integers x and y, the power x sum of which is nⁿ+yⁿThe sum is applied as the n-th power of the sum y of the positive integers x.

The parameter method of the above-mentioned Verma inequality is to determine the Verma inequality (y + Deltay) by using the positive integer n-th power sum-of-squares board 3 or the n-th variable four-color display board 13ⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿThe parameter Δ y in (1) is such that the Verma inequality mⁿ＜xⁿ+yⁿ＜(m+1)ⁿA medium positive integer m is y + Δ y; step 1, calculating parameters Δ y: in the positive integer n-power sum-of-square board 3, the n-power sum-of-square x in the 1 st rectangular square on the left of each line from the 1 st line to the 17 th line above the diagonal lineⁿ+yⁿTranslating to the center position of the common edge of two adjacent rectangular squares rightwards, looking up two adjacent nth powers y around the straight line of the common edge in the 0 th row₁ ⁿAnd y₂ ⁿIf left eye is y₁ ⁿLarge and right viewing ratio y₂ ⁿSmall, then obtain y₁ ⁿ＜xⁿ+yⁿ＜y₂ ⁿOr in the case of an n-time changing type four-color display panel 13, the switch k in a rectangular grid of an integrated circuit is closed to emit the square power sum x of green light display from the lamp L in the rectangular gridⁿ+yⁿDisposed above row 0 is powered by lamp L₂Square power y of blue light emitting displayⁿOn the right side of the rectangular grid, between two adjacent powers of the same power, the left view determines xⁿ+yⁿ＞y₁ ⁿAnd, looking right, determines xⁿ+yⁿ＜y₂ ⁿFrom(y+Δy)ⁿ＝y₁ ⁿAnd calculating Δ y ═ y₁-y, yielding Δ y; step 2, marking parameters Δ y: and (3) calculating 1 column of natural numbers' delta y consisting of the power in the 1 st rectangular grid on the left of each line from the 1 st line to the 17 th line and delta y corresponding to the formula from the step 1 above the diagonal: Δ y₁，Δy₂，Δy_a，Δy₄，Δy₅，Δy₆，Δy₇，Δy₈，Δy₉，Δy₁₀，Δy₁₁，Δy₁₂，Δy₁₃，Δy₁₄，Δy₁₅，Δy₁₆… …' printed outside the right wide edge line of the positive integer power-of-n sum-of-squares sheet 3; step 3, application parameters Δ y: in the 2 nd line to the 17 th line above the diagonal, each line is moved from the 1 st rectangular grid on the left to the right, the value of the corresponding delta y is calculated one by utilizing each power and right translation, the operation is not terminated until the value of the 1 st delta y is obtained to be equal to 0, the values of the calculated parameter delta y of each line are divided into a natural number 0, a positive odd number and a positive even number 3, and yellow, white and blue are respectively painted in the corresponding rectangular grids; if the maximum value of the delta y is an even number which is more than 2, determining the value of the delta y from big to small to a natural number 0 according to each rectangular grid corresponding to the delta y, coloring the delta y at intervals according to three types of 0, positive even number and positive odd number, wherein the color of each rectangular grid from left to right forms a 'blue white, … … blue white and yellow' image, and then, each rectangular grid is colored yellow towards right; if the maximum value of the delta y is an odd number larger than 2, determining the value of the delta y from big to small to a natural number of 0 according to each rectangular grid of the corresponding row, coloring the delta y at intervals according to three types of 0, positive odd number and positive even number, wherein the color of each rectangular grid from left to right forms the image of 'white blue, … … white blue and white yellow', and then, the color of each rectangular grid from right to left is yellow; the number of the white-colored rectangular grids and the number of the blue-colored rectangular grids are not necessarily equal, more or less, at least 1, and all the rectangular grids from the 1 st yellow-colored rectangular grid to the right in each row are yellow; step 4, judging the Fermat inequality (y + delta y) according to the parameter delta yⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿ: when Δ y is 0, all yellowing occursAnd the power sum of squares x of the rectangle colored green in row 1ⁿ+yⁿThe corresponding Verma inequality is yⁿ＜xⁿ+yⁿ＜(y+1)ⁿ(ii) a When Δ y is 1, the power sum of squares x in the rectangular grid adjacent to one or several of all white-colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +1)ⁿ＜xⁿ+yⁿ＜(y+2)ⁿ(ii) a When Δ y is 2, the power sum of squares x in the rectangular grid adjacent to one or several of all blue colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +2)ⁿ＜xⁿ+yⁿ＜(y+3)ⁿ(ii) a When Δ y is 3, the power sum of squares x in the rectangular grid adjacent to one or several of all white-colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +3)ⁿ＜xⁿ+yⁿ＜(y+4)ⁿ；……。

The combined assembly display board method is characterized in that when the positive integer n is 3, 4, 5, 6, 7, 8 and 9, the structural characteristics of the positive integer n-power sum board 3 are applied, and the structural characteristics of the positive integer n-power sum board 3 are calculated to manufacture a positive integer cubic power sum board (one), a positive integer tetragonal power sum board (two), a positive integer quintic power sum board (three), a positive integer sextic power sum board (four), a positive integer heptatic power sum board (five), a positive integer octatic power sum board (six), a positive integer nonatic power sum board (seven), a positive integer n-variable cubic sum board (eight), a rectangular grid base plate 1, a universal integrated circuit board 2, a positive integer n-power sum board 3, a positive integer cubic power sum board (one), a positive integer quadrate sum board (two), a positive integer quintic sum board (three), a positive integer sextic sum board (four) and a positive integer square sum board (four), The technical method comprises the steps of sequentially overlapping, combining and positioning one of a positive integer power-seven and power-seven plate (five), a positive integer power-eight and power-six plate (six), a positive integer power-nine and power-seven plate (seven) and a positive integer n-time variable power-n and power-eight plate (eight) and a touch screen switch cover plate 4 from bottom to top according to the sequence of the rectangular grid base plate 1, the universal integrated circuit board 2, the positive integer power-n and 1 touch screen switch cover plate 4, respectively penetrating the touch screen switch cover plate 4, the positive integer power-n and power-n plate, the universal integrated circuit board 2 and positioning small holes on the inner sides of four corners of the rectangular grid base plate 1 from top to bottom by using 4 cap rivets, hammering the lower ends of the rivets into 2 nd rivet caps by using the rivets, riveting 4 overlapped cuboid plates together with the original 1 st rivet caps of the rivets, and manufacturing display plates with different times.

The invention relates to a Firman theorem demonstration model, which is characterized in that: the rectangular grid bottom plate 1 is a rectangular plate manufactured by processing a transparent rectangular organic glass plate, is vertically placed relative to a horizontal desktop, 18 rows and 18 lines of rectangular grids are printed on the upper surface in the forward direction to form a rectangle with a longer side larger than a wider side, the longer side of each rectangular grid in the rectangle is larger than the wider side, 1 lower-case Latin letter 'i' is printed on the outer side of the upper left corner in the forward direction and used for representing a natural number sequence comprising a natural number 0, so that a plurality of rows and a plurality of columns of rectangular grids in the rectangle can be conveniently sequenced and positioned, 1 row of forward natural number sequence 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … … is printed on the outer side of the upper long edge line from left to right and from small to large relative to the middle position of the longer side of each rectangular grid, and 1 column of forward natural number sequence 0 is printed on the outer side of the left wide edge line from small to large relative to the middle position of the wider side of each rectangular, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … …, a wide edge line from the lower left corner of the rectangular grid defined by the 0 th column in the upper left row 0 to the upper left and 1 line segment from the long edge line to the upper left, the rectangular grid is divided into a quadrangle in the middle, two sides are 3 parts of a right triangle, a diagonal line is printed from the upper left corner of the rectangular grid defined by the 1 st column in the upper left row 1 to the lower right corner of the rectangular grid defined by the 17 th column in the lower right row 17, the rectangles formed by all the rectangular grids from the 1 st column to the 17 th column in the upper row 1 to the 17 th row are divided into upper and lower parts like a right triangle, 1 square is printed on each of the left and right sides outside the long edge line of the upper side, the sides of the squares are respectively aligned with the two wide edge lines outside the 0 th column and outside the 17 th column, and respectively drilling 1 cylindrical positioning small holes with the same distance to the high edge and the diameter of R on the outer side of the edge line of 4 edges of the rectangle by taking one point on the bisector of 4 angles as the center to manufacture the rectangular grid bottom plate 1.

The demonstration model of the Firman's theorem is characterized in that the universal integrated circuit board 2 is a cuboid plate manufactured by processing an organic glass plate made of transparent cuboid-shaped insulating materials, the length of the universal integrated circuit board 2 is equal to the length of the rectangular grid base plate 1, the width of the universal integrated circuit board 2 is equal to the width of the rectangular grid base plate 1, the thickness of the universal integrated circuit board 2 is larger than the length of an electric lamp, the universal integrated circuit board 2 is vertically arranged relative to a horizontal desktop, the lower surface of the universal integrated circuit board 2 is reversely printed with rectangular grids, geometric figures and character information which are the same as those of the rectangular grid base plate 1 and are printed with the upper surface of the rectangular grid base plate 1 in the forward direction, 4 cylindrical positioning small holes with the diameter R are drilled at corresponding positions on the inner sides of four corners corresponding to the positions of the 4 cylindrical positioning small holes on the rectangular grid base plate 1 respectively, the character information from top to bottom is in the forward direction, the top left corner of the electric lamp 35₀A power indicator light emitting red light during operation, an electric light L₀The positive pole marked with a plus sign is connected with the positive pole terminal a of the power supply in the square through the terminal b by a lead, and the electric lamp L₀The negative pole marked with a "-" sign is directly connected with a power supply negative pole terminal f in the square grid by a lead, the power supply in the square grid is marked with "+" -two poles, the terminal a and the terminal f are positioned in the middle of the thickness of the universal integrated circuit board 2, two cylindrical jacks are drilled on the outer side surfaces perpendicular to the long edges and the high edges, the diameter of each cylindrical jack is equal to that of a cylindrical metal contact of a power supply line plug, and 1 electric lamp L is installed in each square grid from the 1 st row to the 17 th row in the 0 th row₁In the lines 1 to 17, a circuit formed by connecting 1 electric lamp L and 1 switch K in series is arranged in each of the rectangular grids 1 to 17, the middle part of the handle of the switch K is coated with a layer of magnetized substance, wherein the negative pole of the electric lamp L is connected with a binding post on the switch K without the handle through a conducting wire, and the electric lamp L is arranged in each of the rectangular grids 1 to 17 in the line 0₁Each electric lamp L emitting purple light when in operation₁The positive electrode marked with "+" sign is connected to the terminal b in the rectangular grid by a wire in the 0 th row from the 0 th row to the 17 th rowThe wiring terminal b is communicated with 1 red insulated wire which is installed and extends to a wiring terminal g outside a long edge line below the rectangle so as to be extended downwards continuously, and an electric lamp L which is installed in each rectangular grid from the 1 st line to the 17 th line in the 0 th column₁The negative pole marked with a "-" sign is connected on the terminal c in the rectangular grid by a lead and then is arranged downwards to the right, 1 red insulated lead is respectively arranged on the 1 st row to the 17 th row from the 1 st row to the 17 th row and extends to the terminal c outside the right wide edge line of the rectangle so as to continue to extend rightwards, and the electric lamp L is arranged in each rectangular grid of the 1 st row to the 17 th row in the 0 th row₂In operation, emits blue light, the electric lamp L₂The negative pole marked with a minus sign is communicated with a binding post e in the rectangular grid by a lead, from the power supply negative pole binding post f of the 0 th column in the 0 th row to the 17 th column, 1 blue insulated lead is arranged on the inner side of the long edge line above the rectangle to be communicated with the binding post e in each grid, the blue insulated lead extends to the binding post h on the outer side of the right wide edge line, so as to be convenient for continuing to extend rightwards, and each electric lamp L₂The positive pole marked with "+" sign is connected with the terminal d by the conducting wire, then it is downward from right, 1 blue insulated conducting wire is installed from 1 st row to 17 th row, and after being connected with the terminal d in each rectangular grid of each row, it is extended to the terminal d outside the long edge line under the rectangle, so that it can be extended downward, the electric lamps L installed in the rectangular grids from 1 st row to 17 th row in the 1 st row to 17 th row can emit green light when working, the positive pole marked with "+" sign on each electric lamp L is connected with the terminal c on the red insulated conducting wire in the rectangular grid by the conducting wire, the terminal of each switch K with handle is connected with the terminal d on the blue insulated conducting wire in the rectangular grid by the conducting wire, so as to make the electric lamp L determined by different rows₁Lamp L, switch K and lamp L₂The integrated circuits are connected in parallel to the two terminals a and e after being connected in series and then are communicated with the terminals a and f at the two poles of the power supply, and when the integrated circuits are used, the power supply is connected, and the power supply indicator L₀Emitting red light to form a working circuit, wherein the wiring terminal of the handle end on the switch is a cathode, the wiring terminal of the non-handle is an anode, any switch k is closed each time, only 1 switch k is closed each time,displaying the power sum formula x in the rectangular grid where the switch k is locatedⁿ+yⁿPurple light emitting electric lamp L from column 0₁Square power x determined by square gridⁿAnd the blue light-emitting electric lamp L of line 0₂Square power y determined by square gridⁿAdditively formed, and shows blue light emitting lamp L from line 1₂Several powers and power sums x in right square squaresⁿ+yⁿAfter the sizes are compared, the Fisher-horse inequality m is determinedⁿ＜xⁿ+yⁿ＜(m+1)ⁿThe universal integrated circuit board 2 is manufactured.

The invention relates to a Firman theorem demonstration model, which is characterized in that: the positive integer n-order idempotent sum-of-power plate 3 is a cuboid-shaped plate manufactured by processing a transparent cuboid-shaped organic glass plate, the length and the width of the cuboid-shaped plate are respectively equal to the length and the width of a rectangular grid bottom plate 1, positions corresponding to cylindrical positioning small holes near four corners of the rectangular grid bottom plate 1 are drilled through cylindrical positioning small holes with the diameter of R, rectangular grids, geometric figures and character information which are the same as those of the rectangular grid bottom plate 1 are printed on the upper surface in a forward direction, are printed on the lower surface in a reverse direction, and correspond to the middle parts of handles of switches K in the 1 st row to the 17 th row of the universal integrated circuit board 2, and cylindrical small holes are drilled through and can be vertically inserted into cylindrical metal contacts at corresponding positions on the lower surface of a touch screen switch cover plate 4; vertically arranged, and on the lower surface, the 0 th column of definite squares in the 0 th row are reversely printed with x in the 1 st part in the clockwise directionⁿPart 2 is reverse printed with xⁿ+yⁿPart 3 is reverse printed with yⁿ(ii) a In each of the 1 st to 17 th rectangular squares in the 0 th row, 1 row of powers is printed in reverse: 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, column 0 having 1 column of squares 1 printed in reverse in each of the rectangular squares in lines 1 to 17ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, in a pattern x printed in each of rectangular blocks from the 1 st row to the 16 th row in the 1 st row to the 17 th row, which is viewed in a forward direction from the top surface to the bottom surface in plan viewⁿ+yⁿForm of the power of n sum of the powers, the 1 st addend x preceding the plus sign "+"ⁿIs the square power x of the rectangular grid in which the row of the rectangular grid is located in the 0 th columnⁿThe 2 nd addend y after the plus sign "+"ⁿIs the square power y of the rectangular grid in the row 0ⁿ(ii) a In the power sum formula of each row 1, the power of the 1 st addend of each power sum formula is the same, in the power sum formula of each column 1, the power of the 2 nd addend of each power sum formula is the same, the power of the 0 th column is translated to the right to each column to obtain the 1 st addend of each column of rectangular grid power sum formula, and the power of the 0 th row is translated to each row downwards to obtain the 2 nd addend of each row of rectangular grid power sum formula; an ellipsis '… …' formed by 6 small black dots in a row is printed in each rectangular grid in the 17 th row and the 17 th column; in the upper surface, all rectangular squares in which the 1 st column to the 17 th column diagonal lines in the 1 st row to the 17 th row are colored red, all rectangular squares in the 2 nd column to the 17 th column in the 1 st row above the upper surface diagonal lines are colored green, and in the 2 nd row to the 17 th row above the diagonal lines, in accordance with the fisher's inequality parameter method, Δ y is solved in each rectangular square, and yellow, white and blue colors are respectively colored, thereby producing a positive integer nth power sum formula plate 3; using a computer to program and calculate or directly replace the index n, printing the times of the positive integer n-power and the formula in small squares at the left side and the right side outside a long edge line above a rectangle respectively according to the positive integer n-power and formula plate 3 when n is 3, 4, 5, 6, 7, 8 and 9, respectively manufacturing a positive integer three-power and formula plate (I), a positive integer four-power and formula plate (II), a positive integer five-power and formula plate (III), a positive integer six-power and formula plate (IV), a positive integer seven-power and formula plate (V), a positive integer eight-power and formula plate (six) and a positive integer nine-power and formula plate (seven), and when n is the positive integerWhen n is more than or equal to 10, the positive integer n-power square sum type plate 3 is characterized in that each rectangular grid in each row from the 2 nd column to the 17 th column above the diagonal line to the 1 st column below is yellow; setting positive integers x, y, z, n is not less than 3, x +1 < y, y +1 < z, using 0 row positive integer power of 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… … replaces the positive integer powers of n and 1 in row 0 of the equation plate 3ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, raised to 1 by a positive integer of 0 columnsⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… … replacing the positive integer powers of n and 1 of column 0 of the equation plate 3ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, and shifting right the positive integer square power printed in the 0 th row after replacement as the 1 st addend before the addition "+" of the square power and formula in each rectangular grid from the 1 st row to the 16 th row, shifting down the positive integer square power printed in the 0 th row after replacement as the 2 nd addend after the addition "+" of the square power and formula in each rectangular grid from the 1 st row to the 16 th row, and applying the Verma inequality parameter method to make the positive integer n-th variable square power and formula board (eight), thereby making several pieces of square power and formula boards with different times, all shaped like the positive integer n-th square power and formula board 3.

The invention relates to a Firman theorem demonstration model, which is characterized in that: the touch screen switch cover plate 4 is a cuboid-shaped plate manufactured by selecting a transparent plastic plate with toughness and elasticity characteristics, the length and the width of the cuboid-shaped plate are respectively equal to the length and the width of the rectangular grid base plate 1, the positions of the cylindrical positioning holes corresponding to the inner sides of four corners of the rectangular grid base plate 1 are drilled with 1 cylindrical positioning hole with the diameter of R, the cuboid-shaped plate is vertically placed relative to a horizontal desktop, the rectangular grids, geometric figures and character information which are printed on the lower surface of the cuboid-shaped plate in the reverse direction and are the same as the upper surface of the rectangular grid base plate 1 are forward, the rectangular grids, the geometric figures and the character information correspond to the middle positions of handles of the switches K in the 1 st row to the 17 th row of the universal integrated circuit board 2, holes are drilled upwards in the rectangular grids on the lower surface of the touch screen switch cover plate 4, and 1 cylindrical metal contact with magnetism is vertically installed, the length of each cylindrical metal contact exposed downwards from the lower surface is greater than the thickness of the positive integer n-power sum-of-squares plate 3, the position of the cylindrical metal contact is touched and pressed by a finger on the upper surface, the downward acting force of the cylindrical metal contact is applied to a handle of a switch K of the universal integrated circuit board 2, the switch K is closed, the position of the cylindrical metal contact is touched and pressed again, the cylindrical metal contact is separated from the handle of the switch K, the original state is recovered under the action of the elastic force of the plastic plate, meanwhile, the magnetic force of the cylindrical metal contact attracts the handle of the switch K, the switch K is disconnected, and the touch screen switch cover plate 4 is manufactured.

The invention relates to a Firman theorem demonstration model, which is characterized in that: the cubic display panel 5 and a plurality of display panels with different times are manufactured by applying a combined display panel mounting method, and the cubic display panel 5 is manufactured by taking 1 of a rectangular grid bottom plate 1, a universal integrated circuit board 2, a positive integer power of three and sum type plate (I) and a touch screen switch cover plate 4, sequentially vertically overlapping from bottom to top and combining and mounting; a positive integer power of four and formula board (two) is arranged at the position of the positive integer power of three and formula board (one) in the three-time display board 5, and is assembled and installed to form a four-time display board 6; or repeatedly combining and installing the technical process and the method for manufacturing the cubic display board 5, namely respectively manufacturing a quartic display board 6, a quintic display board 7, a sextic display board 8, a heptatic display board 9, an octatic display board 10 and a nonatic display board 11 by utilizing 1 each of a positive integer quartic power sum type board (two), a positive integer quintic power sum type board (three), a positive integer sextic power sum type board (four), a positive integer heptatic power sum type board (five), a positive integer octatic power sum type board (six) and a positive integer nonatic power sum type board (seven), respectively taking 1 each of a rectangular grid bottom board 1, a universal integrated circuit board 2 and a touch screen switch cover board 4, and vertically arranging the rectangular grid bottom board 1, the universal integrated circuit board 2, the positive integer power sum type board and the touch screen switch cover board 4 on a horizontal desktop in sequence from bottom to top; the display panel is manufactured by applying 1 piece of positive integer n-degree type square power and formula board 3 and 1 piece of positive integer n-degree variable square power and formula board (eight) respectively, and combining the square power and formula board 1, the universal integrated circuit board 2 and the touch screen switch cover board 4 respectively in sequence of vertically placing the square power and formula board 1, the universal integrated circuit board 2, the positive integer square power and formula board and the touch screen switch cover board 4 from bottom to top, and respectively manufacturing an n-degree universal display panel 12 and an n-degree variable four-color display panel 13, thereby manufacturing the display panels with different times basically similar to the structure and specification of the cubic display panel 5.

The invention relates to a Firman theorem demonstration model, which is characterized in that: the base 14 is a U-shaped layered support which is manufactured by selecting 1 rectangular metal plate as a horizontal bottom plate and 2 transparent rectangular organic glass plates as front and back vertical wallboards, wherein the length of the bottom plate and the length of the wallboards are both equal to the length of the rectangular square bottom plate 1, the two rectangular wallboards are vertically arranged on the upper surfaces of the front and back vertical baseboards, the two outer side surfaces of the two wallboards and the two outer side surfaces determined by the long edge and the high edge of the bottom plate are respectively in the same plane, the positions of the wallboards and the bottom plate are fixed by using a colloid adhesive bonding gap, and then 2 threaded holes with the same depth are drilled in the middle part which is just opposite to the thickness of the two wallboards from the lower surface of the bottom plate to the upper part, and are screwed and reinforced by using screws with caps to manufacture the base frame of the U-shaped layered support; the width between two inner sides of the front and the rear wall boards determined by the long edges and the high edges is less than the width of the third display board 5, the width between two outer sides of the front and the rear wall boards determined by the long edges and the high edges is more than the width of the third display board 5, and the inner sides of the wall boards erected in the front and the rear directions are opposite to each other from bottom to top from the outer sidesExcavating a plurality of concave grooves to the middle of the wall plate, wherein the height of each concave groove is equal to the thickness of the tertiary display panel 5, the width between the two bottom surfaces of two concave grooves opposite to each other at the same height position is equal to the width of the tertiary display panel 5, the 1 st pair of concave grooves at the top of the inner sides of the two wall plates are display panel power-on display concave grooves, the 2 nd pair of concave grooves are standby concave grooves, the bottom surfaces of the concave grooves at the top of the rear plugboard are opposite to the positions of two cylindrical jacks horizontally and outwards excavated through the power terminal a and the f of the tertiary display panel 5, and the jacks are drilled through and are power line jacks; the outer side of the wall board erected in front is printed with 3 lines of character information with different colors, the 1 st line is 10 red Chinese characters of a ' Fermat ' theorem demonstration model, and the 2 nd line is a mathematical formula ' x ' representing the conclusion of the Fermat ' theoremⁿ+yⁿ≠zⁿ", green, line 3 is" x, y, z, N ∈ N^*N is more than or equal to 3' and is blue, the left side of the bottom plate is provided with 1 transparent cuboid organic glass plate, the height of the organic glass plate is equal to the sum of the thickness of the bottom plate of the base 14 and the height of 1 wallboard, the length of the organic glass plate is equal to the width between the outer side surfaces of the front and rear two vertical wallboards, and the organic glass plate on the left side is bonded and fixed with the gap of the contact surface of the wallboard and the bottom plate by using a colloid adhesive; 1 rectangular coil made of golden yellow insulated metal wire is horizontally installed between the 4 th concave groove and the 5 th concave groove on the left side and the right side of the front wall board and the rear wall board, 1 row of integers-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and … … are printed on the right side of the front wall board from bottom to top at the opening position of each concave groove, the rectangular coils are divided into two types, the positive integer n above the rectangular coils is 3, 4, 5, 6, 7 and … …, and the positive integer n is used for indicating the position of the display panel for n times, and the base 14 is manufactured.

The beneficial effects of the Fermat theorem demonstration model of the invention

1. The teaching method solves the problem that students in schools know the Firman theorem and the problem of teaching and activities of divergent thinking in learning the Pythagorean theorem, teaching Firman reading mathematic books think three times, four times and more than five times through the Pythagorean theorem divergent thinking to form the Firman conjecture, the Firman theorem is summarized through proving, thousands of civilized people are lost, the missing proof of the Firman theorem which has to go to think is given, a recent mathematic theory and a method are firstly used for proving the mathematic book of the Firman theorem which is read at the age of 10, the teaching contents of the Firman theorem appear in the mathematics of the middle and primary schools after 2010 along with 6 stages of the teaching of the students in the primary schools, the junior schools, the colleges, the researchers and the universities, and the practical situation of the Chinese school curriculums after 2010, and the Firman theorem, in this context, a mathematical model for student experiments is invented, which is necessary and more meaningful for demonstrating the result of the Verma theorem.

2. Solving the problems of proving results and thinking of the large theorem of Verma and direct display, and considering two powers of five and a formula as 3 by utilizing the addition and exchange law⁵+4⁵And 4⁵+3⁵The value with the same quintic power sum is 1257, the rectangular table composed of rectangular grids is divided by a diagonal line, the problem of calculation and certification of each power sum of the same power below the diagonal line is solved, the method is equivalent to the problem of calculation and certification of each power sum on the diagonal line, the problem of calculation and certification of each power sum of the line 1 is omitted, yellow, blue and white are painted in each rectangular grid above the diagonal line and below the line 1, the problem of calculation and certification of most power sums between the line 1 below and above the diagonal line is solved, the complex problem is simplified, a large number of certification processes are omitted, an integrated circuit is applied, a switch K is closed in the integrated circuit, an electric lamp emits light, and the conclusion that the Verma's theorem is established is displayed.

3. And displaying the formalized characteristics of the Verma theorem and the Verma inequality thereof, and directly displaying through a Verma theorem demonstration model to demonstrate the conclusion that the Verma theorem is established.

4. The invention is compatible with the international scientific research frontier technology, imitates the English man to use the chemical element periodic table of the chemical science to make the innovative mode of high added value chemical element periodic table of 100 ten thousand pounds on the basis of printing various plane graphs with little money, considers only two international marketing modes of China, one is collected in the chemical institute of Chinese academy of sciences and the other is collected in the chemical industry academy of east Master university, and uses the math research result to create the high added value product targets for production, life and learning, and is sold in the international market and mainly used for math scientific display, popularization and teaching.

5. By applying the principle displayed by the Firman theorem demonstration model, high-grade coded locks which are difficult to decode can be invented, and different types of coded locks which use electrons, protons and quantum to operate can be formulated.

6. The invention is applied to break the dilemma that the Wales proves the big Filman theorem which is difficult to read, and the original shallow mathematical method and mathematical formula are used for proving the big Filman theorem, and the missing proof of the big Filman theorem is explored or recovered in the activities of learning and science popularization, so that the common knowledge of the mathematics science of the big Filman theorem is popularized among people of all countries in the world, and the popularization, creativity and practicability of the result are particularly remarkable.

7. The invention has wide selection range of materials for design, processing and manufacturing, the prior process and mechanical equipment can meet the production requirement, the processing process is safe and environment-friendly, the energy is saved, and the production cost is lower; even if there are no conditions for producing integrated circuits, printed integrated circuit patterns can be used to replace integrated circuit products for demonstration in poor countries and regions of the world.

8. The demonstration model product has no toxic or side effect in the application process, is safe, can be purchased by the government, uses education expenses or experimental expenses, is equipped with mathematics laboratories of high school, middle school and primary school and urban and rural community culture places, has wide applicability, is not influenced by nationality, culture and language in the popularization process, and can be accepted and applied by more people in the world.

Drawings

FIG. 1 is a schematic structural diagram of a Fermat theorem demonstration model of the present invention.

Fig. 2 is a schematic structural diagram of a rectangular grid base plate 1 of the present invention.

Fig. 3 is a schematic structural diagram of the universal integrated circuit board 2 of the present invention.

Fig. 4 is a schematic structural diagram of the positive integer nth power sum mode plate 3 of the present invention.

Fig. 5 is a schematic structural diagram of a positive integer power-of-third sum-of-squares plate (one) of the present invention.

Fig. 6 is a schematic structural diagram of a positive integer raised power sum-of-squares plate (ii) of the present invention.

Fig. 7 is a schematic structural diagram of a positive integer power-of-five sum-of-squares plate (three) of the present invention.

Fig. 8 is a schematic structural diagram of a positive integer power-of-six sum-of-squares plate (iv) of the present invention.

Fig. 9 is a schematic structural diagram of a positive integer power-of-seven sum-of-squares plate (v) of the present invention.

Fig. 10 is a schematic structural diagram of a positive integer power-of-eight sum-of-squares plate (six) of the present invention.

Fig. 11 is a schematic structural diagram of a positive integer power-of-nine sum-of-squares plate (vii) of the present invention.

Fig. 12 is a schematic structural diagram of the positive integer nth order variable idempotent plate (eight) of the present invention.

Fig. 13 is a schematic structural diagram of the touch screen switch cover 4 of the present invention.

Fig. 14 is a schematic view of the structure of the triple display panel 5 of the present invention.

Fig. 15 is a schematic view showing the structure of the quadruple display panel 6 of the present invention.

Fig. 16 is a schematic view showing the structure of the five-display panel 7 of the present invention.

Fig. 17 is a schematic view of the structure of the six-time display panel 8 of the present invention.

Fig. 18 is a schematic view showing the structure of the seven-time display panel 9 of the present invention.

Fig. 19 is a schematic view showing the structure of the eight-time display panel 10 of the present invention.

Fig. 20 is a schematic view showing the structure of the nine-time display panel 11 of the present invention.

Fig. 21 is a schematic diagram showing the structure of the n-time general display panel 12 of the present invention.

Fig. 22 is a schematic view showing the structure of an n-th order variable four-color display panel 13 according to the present invention.

Fig. 23 is a schematic view of the structure of the base 14 of the present invention.

Fig. 24 is a schematic diagram of the working principle of the universal integrated circuit board (2) of the present invention.

Description of the figures

The display panel comprises a 1 rectangular grid bottom plate, a 2 universal integrated circuit board, a 3 positive integer n-th power and sum type plate, a 4-touch screen switch cover plate, a 5-time display panel, a 6-time display panel, a 7-time display panel, an 8-six-time display panel, a 9-seven-time display panel, a 10-eight-time display panel), a 11-nine-time display panel, a 12 n-time universal display panel, a 13 n-time variable four-color display panel and a 14 base.

Detailed Description

The detailed structure, application principle, action and efficacy of the present invention are described by the following embodiments with reference to fig. 1 to 24 in the drawings of the specification.

Referring to fig. 1, fig. 1 is a schematic structural diagram of a fisherman theorem demonstration model of the present invention, which is characterized in that: the large Firman theorem demonstration model consists of a rectangular grid bottom plate 1, a universal integrated circuit board 2, a positive integer n-th power and power formula plate 3, a touch screen switch cover plate 4, a cubic display plate 5, a quadratic display plate 6, a quintic display plate 7, a sextic display plate 8, a seven-time display plate 9, an eight-time display plate 10, a nine-time display plate 11, an n-time universal display plate 12, an n-time variable four-color display plate 13 and a base 14, wherein the cubic display plate 5, the quartic display plate 6, the quintic display plate 7, the sextic display plate 8, the seven-time display plate 9, the eight-; sequentially arranging 1 square bottom plate 1, a universal integrated circuit board 2, a positive integer n-th power and square type plate 3, a touch screen switch cover plate 4, a third display plate 5, a fourth display plate 6, a fifth display plate 7, a sixth display plate 8, a seventh display plate 9, an eighth display plate 10, a ninth display plate 11, an n-th universal display plate 12 and an n-th variable four-color display plate 13, inserting the base 14 into the opposite concave grooves at the inner sides of the front and rear vertical wallboards from bottom to top, wherein the 1 st pair of concave grooves at the inner sides of the two wallboards of the base 14 are display board electrifying display concave grooves, the 2 nd pair of concave grooves are standby concave grooves, the bottom surface of the uppermost concave groove of the rear wallboard is opposite to the two cylindrical jacks on the tertiary display board 5, which are communicated with the power supply wiring terminals a and f, and the power supply wiring holes are drilled with two cylindrical holes which are power supply wire jacks to manufacture a Firman theorem demonstration model; the display board of different times of using the big theorem of Verma to demonstrate the model overlooks the different colors or close the switch k of the integrated circuit in the square grid of the rectangle above the power sum formula of each side above the diagonal in the rectangle below the upper surface to make the electric lamp emit different color lights, shows the inequality of Verma, and demonstrates the big theorem of Verma to hold, wherein, the positive integer n is more than or equal to 3.

The above-mentioned Verma theorem refers to a positive integer greater than 2 powers, not equal to the sum of the powers of the same power of any two positive integers, i.e.: if x, y, z and n are all positive integers and n is more than or equal to 3, then xⁿ+yⁿ≠zⁿ。

The aforementioned fermat inequality refers to the sum of powers of two positive integers greater than 2, always being uniquely sandwiched between powers of two positive integers of the adjacent power, namely: if x, y, z, n are all positive integers and n is greater than or equal to 3, then there is a unique positive integer m, such that mⁿ＜xⁿ+yⁿ＜(m+1)ⁿI.e. xⁿ+yⁿ≠zⁿ。

The positive integer greater than 2 is the power x³，x⁴，x⁵，x⁶，……，y³，y⁴，y⁵，y⁶，……，z³，z⁴，z⁵，z⁶，……，m³，m⁴，m⁵，m⁶… …, wherein x, y, z, m are all positive integers.

The positive integer power of n and the formula refer to the addition formula x of the power of the same power that any two positive integers are more than 2ⁿ+yⁿThe result of the calculation after assigning values to x, y and n is called the power sum of n powers of the sum y of positive integers x, y and n, wherein x, y and n are all positive integers, n is more than or equal to 3, the power sum refers to the addition formula of the powers of the same power, the power sum refers to the value of the power sum of the same power, and 2³+3³Is a sum of powers of 3, 2³+3³35, the term 35 is a 3-power sum, using the alphabetical sum of two positive integers x and y, the power x sum of which is nⁿ+yⁿThe sum is applied as the n-th power of the sum y of the positive integers x.

The parameter method of the above-mentioned Verma inequality is to determine the Verma inequality (y + Deltay) by using the positive integer n-th power sum-of-squares board 3 or the n-th variable four-color display board 13ⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿThe parameter Δ y in (1) is such that the Verma inequality mⁿ＜xⁿ+yⁿ＜(m+1)ⁿA medium positive integer m is y + Δ y; step 1, calculating parameters Δ y: in the positive integer n-power sum-of-square board 3, the n-power sum-of-square x in the 1 st rectangular square on the left of each line from the 1 st line to the 16 th line above the diagonal lineⁿ+yⁿTranslating to the center position of the common edge of two adjacent rectangular squares rightwards, looking up two adjacent nth powers y around the straight line of the common edge in the 0 th row₁ ⁿAnd y₂ ⁿIf left eye is y₁ ⁿLarge and right viewing ratio y₂ ⁿSmall, then obtain y₁ ⁿ＜xⁿ+yⁿ＜y₂ ⁿOr in the case of an n-time changing type four-color display panel 13, the switch k in a rectangular grid of an integrated circuit is closed to emit the square power sum x of green light display from the lamp L in the rectangular gridⁿ+yⁿDisposed above row 0 is powered by lamp L₂Blue light emitting display square power yⁿOn the right side of the rectangular grid, between two adjacent powers of the same power, the left view determines xⁿ+yⁿ＞y₁ ⁿAnd looking right at determines xⁿ+yⁿ＜y₂ ⁿComposed of (y + Δ y)ⁿ＝y₁ ⁿAnd calculating Δ y ═ y₁-y, yielding Δ y; step 2, marking parameters Δ y: and (3) calculating 1 column of natural numbers' delta y consisting of the power in the 1 st rectangular grid on the left of each line from the 1 st line to the 17 th line and delta y corresponding to the formula from the step 1 above the diagonal: Δ y₁，Δy₂，Δy₃，Δy₄，Δy₅，Δy₆，Δy₇，Δy₈，Δy₉，Δy₁₀，Δy₁₁，Δy₁₂，Δy₁₃，Δy₁₄，Δy₁₅，Δy₁₆… …' printed outside the right wide edge line of the positive integer power-of-n sum-of-squares sheet 3; step 3 application parametersΔ y: in the 2 nd line to the 17 th line above the diagonal, each line is moved from the 1 st rectangular grid on the left to the right, the value of the corresponding delta y is calculated one by utilizing each power and right translation, the operation is not terminated until the value of the 1 st delta y is obtained to be equal to 0, the values of the calculated parameter delta y of each line are divided into a natural number 0, a positive odd number and a positive even number 3, and yellow, white and blue are respectively painted in the corresponding rectangular grids; if the maximum value of the delta y is an even number which is more than 2, determining the value of the delta y from big to small to a natural number 0 according to each rectangular grid corresponding to the delta y, coloring the delta y at intervals according to three types of 0, positive even number and positive odd number, wherein the color of each rectangular grid from left to right forms a 'blue white, … … blue white and yellow' image, and then, each rectangular grid is colored yellow towards right; if the maximum value of the delta y is an odd number larger than 2, determining the value of the delta y from big to small to a natural number of 0 according to each rectangular grid of the corresponding row, coloring the delta y at intervals according to three types of 0, positive odd number and positive even number, wherein the color of each rectangular grid from left to right forms the image of 'white blue, … … white blue and white yellow', and then, the color of each rectangular grid from right to left is yellow; the number of the white-colored rectangular grids and the number of the blue-colored rectangular grids are not necessarily equal, more or less, at least 1, and all the rectangular grids in each row from the 1 st yellow-colored rectangular grid and the 1 st green-colored rectangular grid to the right are all yellow; step 4, judging the Fermat inequality (y + delta y) according to the parameter delta yⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿ: when Δ y is 0, the sum of all yellow-colored rectangular squares raised to the power of xⁿ+yⁿThe corresponding Verma inequality is yⁿ＜xⁿ+yⁿ＜(y+1)ⁿ(ii) a When Δ y is 1, the power sum of squares x in the rectangular grid adjacent to one or several of all white-colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +1)ⁿ＜xⁿ+yⁿ＜(y+2)ⁿ(ii) a When Δ y is 2, the power sum of squares x in the rectangular grid adjacent to one or several of all blue colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +2)ⁿ＜xⁿ+yⁿ＜(y+3)ⁿ(ii) a When Δ y is 3, with all white-colored phase or phasesPower sum of squares x in adjacent rectangular squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +3)ⁿ＜xⁿ+yⁿ＜(y+4)ⁿ；……。

The combined assembly display board method is characterized in that when the positive integer n is 3, 4, 5, 6, 7, 8 and 9, the structural characteristics of the positive integer n-power sum board 3 are applied, and the structural characteristics of the positive integer n-power sum board 3 are calculated to manufacture a positive integer cubic power sum board (one), a positive integer tetragonal power sum board (two), a positive integer quintic power sum board (three), a positive integer sextic power sum board (four), a positive integer heptatic power sum board (five), a positive integer octatic power sum board (six), a positive integer nonatic power sum board (seven), a positive integer n-variable cubic sum board (eight), a rectangular grid base plate 1, a universal integrated circuit board 2, a positive integer n-power sum board 3, a positive integer cubic power sum board (one), a positive integer quadrate sum board (two), a positive integer quintic sum board (three), a positive integer sextic sum board (four) and a positive integer square sum board (four), The technical method comprises the steps of sequentially overlapping, combining and positioning one of a positive integer power-seven and power-seven plate (five), a positive integer power-eight and power-six plate (six), a positive integer power-nine and power-seven plate (seven) and a positive integer n-time variable power-n and power-eight plate (eight) and a touch screen switch cover plate 4 from bottom to top according to the sequence of the rectangular grid base plate 1, the universal integrated circuit board 2, the positive integer power-n and 1 touch screen switch cover plate 4, respectively penetrating the touch screen switch cover plate 4, the positive integer power-n and power-n plate, the universal integrated circuit board 2 and positioning small holes on the inner sides of four corners of the rectangular grid base plate 1 from top to bottom by using 4 cap rivets, hammering the lower ends of the rivets into 2 nd rivet caps by using the rivets, riveting 4 overlapped cuboid plates together with the original 1 st rivet caps of the rivets, and manufacturing display plates with different times.

Referring to fig. 2, fig. 2 is a schematic structural diagram of a rectangular grid base plate 1 of the present invention, which is characterized in that: the rectangular grid bottom plate 1 is a rectangular plate manufactured by processing a transparent rectangular organic glass plate, is vertically placed relative to a horizontal desktop, 18 rows and 18 lines of rectangular grids are printed on the upper surface in the forward direction to form a rectangle with a longer side larger than a wider side, the longer side of each rectangular grid in the rectangle is larger than the wider side, 1 lower-case Latin letter 'i' is printed on the outer side of the upper left corner in the forward direction and used for representing a natural number sequence comprising a natural number 0, so that a plurality of rows and a plurality of columns of rectangular grids in the rectangle can be conveniently sequenced and positioned, 1 row of forward natural number sequence 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … … is printed on the outer side of the upper long edge line from left to right and from small to large relative to the middle position of the longer side of each rectangular grid, and 1 column of forward natural number sequence 0 is printed on the outer side of the left wide edge line from small to large relative to the middle position of the wider side of each rectangular, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … …, a wide edge line from the lower left corner of the rectangular grid defined by the 0 th column in the upper left row 0 to the upper left and 1 line segment from the long edge line to the upper left, the rectangular grid is divided into a quadrangle in the middle, two sides are 3 parts of a right triangle, a diagonal line is printed from the upper left corner of the rectangular grid defined by the 1 st column in the upper left row 1 to the lower right corner of the rectangular grid defined by the 17 th column in the lower right row 17, the rectangles formed by all the rectangular grids from the 1 st column to the 17 th column in the upper row 1 to the 17 th row are divided into upper and lower parts like a right triangle, 1 square is printed on each of the left and right sides outside the long edge line of the upper side, the sides of the squares are respectively aligned with the two wide edge lines outside the 0 th column and outside the 17 th column, and respectively drilling 1 cylindrical positioning small holes with the same distance to the high edge and the diameter of R on the outer side of the edge line of 4 edges of the rectangle by taking one point of a bisector of 4 angles as a center to manufacture the rectangular grid bottom plate 1.

Referring to fig. 3, fig. 3 is a schematic structural diagram of the universal integrated circuit board 2 of the present invention, which is characterized in that: general integrated circuit board 2, be the cuboid shaped plate of the organic glass board processing preparation of chooseing for use transparent cuboid shape insulating material, general integrated circuit board 2's length equals the length of rectangle square bottom plate 1, general integrated circuit board 2's width equals the width of rectangle square bottom plate 1, general integrated circuit board 2's thickness is greater than the length of electric lamp, general integrated circuit board 2 is just standing for horizontal desktop and is put, the reverse printing of lower surface has the same rectangle square with the upper surface forward printing of rectangle square bottom plate 1, the geometric figureShape and character information, 4 cylindrical positioning holes with the diameter of R are drilled through corresponding positions on the inner sides of four corners corresponding to the positions of the 4 cylindrical positioning holes on the bottom plate 1 of the rectangular grid, the character information is viewed from top to bottom to be in the positive direction, and the electric lamp L arranged in 1 rectangular grid with the upper left corner determined by the 0 th column in the 0 th row is L₀A power indicator light emitting red light during operation, an electric light L₀The positive pole marked with a plus sign is connected with the positive pole terminal a of the power supply in the square through the terminal b by a lead, and the electric lamp L₀The negative pole marked with a "-" sign is directly connected with a power supply negative pole terminal f in the square grid by a lead, the power supply in the square grid is marked with "+" -two poles, the terminal a and the terminal f are positioned in the middle of the thickness of the universal integrated circuit board 2, two cylindrical jacks are drilled on the outer side surfaces perpendicular to the long edges and the high edges, the diameter of each cylindrical jack is equal to that of a cylindrical metal contact of a power supply line plug, and 1 electric lamp L is installed in each square grid from the 1 st row to the 17 th row in the 0 th row₁In the lines 1 to 17, a circuit formed by connecting 1 electric lamp L and 1 switch K in series is arranged in each of the rectangular grids 1 to 17, the middle part of the handle of the switch K is coated with a layer of magnetized substance, wherein the negative pole of the electric lamp L is connected with a binding post on the switch K without the handle through a conducting wire, and the electric lamp L is arranged in each of the rectangular grids 1 to 17 in the line 0₁Each electric lamp L emitting purple light when in operation₁The positive pole marked with a plus sign is connected with the terminal b in the rectangular grid through a lead, the terminal b in the 0 th row to the 17 th row in the 0 th column is communicated with the installed 1 red insulated lead, the red insulated lead extends to the terminal g outside the long edge line below the rectangle and is convenient to continue to extend downwards, and the electric lamp L installed in the rectangular grid from the 1 st row to the 17 th row in the 0 th column₁The negative pole marked with a "-" sign is connected on the terminal c in the rectangular grid by a lead and then is arranged downwards to the right, 1 red insulated lead is respectively arranged on the 1 st row to the 17 th row from the 1 st row to the 17 th row and extends to the terminal c outside the right wide edge line of the rectangle so as to continue to extend rightwards, and the electric lamp L is arranged in each rectangular grid of the 1 st row to the 17 th row in the 0 th row₂In operation, emits blue light, the electric lamp L₂The negative pole marked with a minus sign is communicated with a terminal e in the rectangular grid through a lead, from the power supply negative terminal f of the 0 th column in the 0 th row to the 17 th column, 1 blue insulated lead is arranged on the inner side of the long edge line above the rectangle to be communicated with the terminal e in each grid and extends to a terminal h on the outer side of the right wide edge line, so that the lamp can continue to extend rightwards, and each electric lamp L₂The positive pole marked with "+" sign is connected with the terminal d by the conducting wire, then it is downward from right, 1 blue insulated conducting wire is installed from 1 st row to 17 th row from the 1 st row to the 17 th row, and the insulated conducting wire is connected with the terminal d in each rectangular grid of each row and extends to the terminal d outside the long edge line under the rectangle, so as to continue to extend downward, the electric lamp L installed in each rectangular grid of 1 st row to 17 th row in the 1 st row to 17 th row emits green light when working, the positive pole marked with "+" sign on each electric lamp L is connected with the terminal c on the red insulated conducting wire in the rectangular grid by the conducting wire, the terminal of handle on each switch K is connected with the terminal d on the blue insulated conducting wire in the rectangular grid by the conducting wire, thus the electric lamp L determined by different rows is made₁Lamp L, switch K and lamp L₂The integrated circuits are connected in parallel to the two terminals a and e after being connected in series and then are communicated with the terminals a and f at the two poles of the power supply, and when the integrated circuits are used, the power supply is connected, and the power supply indicator L₀Emitting red light to form a working circuit, wherein the wiring terminal where each switch handle end is positioned is a negative electrode, the non-handle wiring terminal is a positive electrode, any switch k is closed every time, only 1 switch k is closed every time, and the power and the formula x of the rectangular grid where the switch k is positioned are displayedⁿ+yⁿPurple light emitting electric lamp L from column 0₁Square power x determined by square gridⁿAnd the blue light-emitting electric lamp L of line 0₂Square power y determined by square gridⁿAdditively formed, and shows blue light emitting lamp L from line 1₂Several powers and power sums x in right square squaresⁿ+yⁿAfter the sizes are compared, the Fisher-horse inequality m is determinedⁿ＜xⁿ+yⁿ＜(m+1)ⁿThe universal integrated circuit board 2 is manufactured.

Referring to FIG. 4, FIG. 4 shows a positive integer power-of-n sum-of-squares plate 3 according to the present inventionThe structure schematic diagram, its characterized in that: the positive integer n-order idempotent sum-of-power plate 3 is a cuboid-shaped plate manufactured by processing a transparent cuboid-shaped organic glass plate, the length and the width of the cuboid-shaped plate are respectively equal to the length and the width of a rectangular grid bottom plate 1, positions corresponding to cylindrical positioning small holes near four corners of the rectangular grid bottom plate 1 are drilled through cylindrical positioning small holes with the diameter of R, rectangular grids, geometric figures and character information which are the same as those of the rectangular grid bottom plate 1 are printed on the upper surface in a forward direction, are printed on the lower surface in a reverse direction, and correspond to the middle parts of handles of switches K in the 1 st row to the 17 th row of the universal integrated circuit board 2, and cylindrical small holes are drilled through and can be vertically inserted into cylindrical metal contacts at corresponding positions on the lower surface of a touch screen switch cover plate 4; vertically arranged, and on the lower surface, the 0 th column of definite squares in the 0 th row are reversely printed with x in the 1 st part in the clockwise directionⁿPart 2 is reverse printed with xⁿ+yⁿPart 3 is reverse printed with yⁿIn the 0 th row, 1 st row square power is printed in each of the 1 st to 17 th rows of rectangular squares in the reverse direction: 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, column 0, lines 1 to 16 are printed in each square with 1 column raised to the power of 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, the pattern x is printed in each of the rectangular blocks from the 1 st row to the 16 th row in a forward direction when viewed from the top to the bottom in plan viewⁿ+yⁿForm of the power of n sum of the powers, the 1 st addend x preceding the plus sign "+"ⁿIs the square power x of the rectangular grid in which the row of the rectangular grid is located in the 0 th columnⁿThe 2 nd addend y after the plus sign "+"ⁿIs the rectangular gridThe power y in the square of the column in the rectangular square of row 0ⁿ(ii) a In the power sum formula of each row 1, the power of the 1 st addend of each power sum formula is the same, in the power sum formula of each column 1, the power of the 2 nd addend of each power sum formula is the same, the power of the 0 th column is translated to the right to each column to obtain the 1 st addend of each column of rectangular grid power sum formula, and the power of the 0 th row is translated to each row downwards to obtain the 2 nd addend of each row of rectangular grid power sum formula; an ellipsis '… …' formed by 6 small black dots in a row is printed in each rectangular grid in the 17 th row and the 17 th column; in the upper surface, all rectangular squares in which the 1 st column to the 17 th column diagonal lines in the 1 st row to the 17 th row are colored red, all rectangular squares in the 2 nd column to the 17 th column in the 1 st row above the upper surface diagonal lines are colored green, and in the 2 nd row to the 17 th row above the diagonal lines, in accordance with the fisher's inequality parameter method, Δ y is solved in each rectangular square, and yellow, white and blue colors are respectively colored, thereby producing a positive integer nth power sum formula plate 3; using computer programming to calculate or directly replace the index n, according to the positive integer n-th power sum formula plate 3, when n is 3, 4, 5, 6, 7, 8 and 9, Arabic numerals representing the times of the positive integer power and formula are respectively printed in the left small square and the right small square outside the long edge line above the rectangle to respectively manufacture a positive integer power and formula plate (I), a positive integer power and formula plate (II), a positive integer power and formula plate (III), a positive integer power and formula plate (IV), a positive integer power and formula plate (V), a positive integer power and formula plate (VI), a positive integer power and formula plate (VII), when the positive integer n is more than or equal to 10, the positive integer n-th power sum-of-squares plate 3 is characterized in that each rectangular grid above the diagonal line and in the rows from the 2 nd column to the 17 th column below the 1 st row is yellow; by positive integer powers of 1 in line 0ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… … replaces the positive integer powers of n and 1 in row 0 of the equation plate 3ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… … raised to 1 in a positive integer in column 0ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… … replacing the positive integer powers of n and 1 of column 0 of the equation plate 3ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, the positive integer square power printed on the 0 th row after replacement is shifted to the right as the 1 st addition before the addition "+" of the square power and formula in each rectangular grid from the 1 st row to the 17 th row, the positive integer square power printed on the 0 th row after replacement is shifted downward as the 2 nd addition after the addition "+" of the square power and formula in each rectangular grid from the 1 st row to the 17 th row, and a Verma inequality parameter method is applied to produce a positive integer n-th order variable square power and formula board (eight), thereby producing a plurality of square power and formula boards with different orders, all of which are in the form of a positive integer n-th order square power and formula board 3.

Referring to fig. 5, fig. 5 is a schematic structural diagram of a positive integer power of three sum formula plate (one) of the present invention, which is characterized in that: the positive integer third power sum formula board (I) is a structural characteristic applying positive integer n power sum formula board (3), when positive integer n is 3, x and y respectively take positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … …, the corresponding third power sum formula and third power sum are arranged in each rectangular grid in sequence, and in the same rectangular grid, the third power sum formula is arranged at the lower part, the third power sum formula is arranged at the upper part, Arabic numerals 3 for representing times are printed in two small squares outside a long edge line above the rectangle, except that the rectangles on the diagonal line are all red, and all rectangles from the 2 nd to the following squares in the 1 st row are all redThe interior of each rectangular grid of the row is colored with green, and the interior of each rectangular grid in which the rest power sum formulas are positioned is respectively colored with 3 situations of yellow, blue and white; the power of the blue to the left and the white to the third power and the formula of 13 in each rectangular square above the diagonal and below the 1 st column in the 2 nd to 16 th lines³+14³，14³+15³，15³+16³According to the value and formula (y + Deltay) of the outer side Deltay of the rectangular right wide edge line³＜x³+y³＜(y+Δy+1)³When Δ y is taken to be 3, 17 fisherman inequalities corresponding to the respective power sum expressions are displayed or read out in white within the rectangular grid in which the respective power sum expressions are directly displayed or read out³＜13³+14³＜18³，18³＜14³+15³＜19³，19³＜15³+16³＜20³(ii) a The blue power and formula are 9³+10³，10³+11³，11³+12³，11¹+13³，12³+13³，12³+14³，12³+15³，13³+15³，13³+16³，14³+16³According to the value and formula (y + Deltay) of the outer side Deltay of the rectangular right wide edge line³＜x³+y³＜(y+Δy+1)³When Δ y is 2, the corresponding fisherma inequalities are displayed or read out directly from the blue color in the rectangular grid in which the respective power sum formula is located, and are 12 respectively³＜9³+10³＜13³，13³＜10³+11³＜14³，14³＜11³+12³＜15³，15³＜11³+13³＜16³，15³＜12³+13³＜16³，16³＜12³+14³＜17³，17³＜12³+15³＜18³，17³＜13³+15³＜18³，18³＜13³+16³＜19³；18³＜14³+16³＜19³(ii) a The power of 3 and the formula of the white color on the right side of the bluing color are respectively 6³+7³，7³+8³，7³+9³，7¹+10³，8³+9³，8³+10³，8³+113，8³+12³，9³+11³，9³+12³，9³+13³，9³+14³，9³+15³，10³+12³，10³+13³，10³+14³，10³+15³，10³+16³，11³+14³，11³+15³，11³+16³，12³+16³According to the value of the rectangular right wide edge line Deltay and the formula (y + Deltay)³＜x³+y³＜(y+Δy+1)³When Δ y is 1, the Verma inequalities displayed in white within the rectangular grid in which the respective power sum expressions are directly included are respectively 8³＜6³+7³＜9³，9³＜7³+8³＜10³，10³＜7³+9³＜11³，11³＜7³+10³＜12³，10³＜8³+9³＜11³，11³＜8³+10³＜12³，12³＜8³+11³＜13³，13³＜8³+12³＜14³，12³＜9³+11³＜13³，13³＜93+12³＜14³，14³＜9³+13³＜15³，15³＜9³+14³＜16³，16³＜9³+15³＜17³，13³＜10³+12³＜14³，14³＜10³+13³＜15³，15³＜10³+14³＜16³，16³＜10³+15³＜17³，17³＜10³+16³＜18³，15³＜11³+14³＜16³，16³＜11³+15³＜17³，17³＜11³+16³＜18³，17³＜12³+16³＜18³In addition to these idempotent sums, the fisherma inequality shown in each rectangular grid colored green and yellow above the diagonal may be represented by the formula (y + Δ y) where Δ y is 0³＜x³+y³＜(y+Δy+1)³Determined or directly determined by the formula y³＜x³+y³＜(y+1)³Determine, thereby demonstrating the Verma theorem, that when the positive integer n is 3, x³+y³≠z³This is true.

Referring to fig. 6, fig. 6 is a schematic structural diagram of a positive integer power-of-the-fourth sum-mode plate (ii) according to the present invention, wherein: the positive integer power-of-the-fourth and formula plate (II) is a structural characteristic applying a positive integer power-of-the-n and formula plate (3), when the positive integer n is 3 and x and y are positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … … respectively, the corresponding fourth power sum formula and the fourth power sum are arranged in each rectangular grid in sequence, in the same rectangular grid, the power sum of the fourth power is arranged at the lower part, the power sum of the fourth power is arranged at the upper part, Arabic numerals 4 for representing the times are printed in two small squares outside a long edge line above the rectangle, except that the diagonal line is in red in each rectangular grid, the rows from the 2 nd to the following rows in the 1 st row are in green, and the other power sum of the fourth power is in yellow, blue and white 3 situations in each rectangular grid; the fourth power of the blue color and the formula of the blue color are respectively 13 in each rectangular square above the diagonal and below the 1 st column in the 2 nd to 16 th rows⁴+14⁴，14⁴+15⁴，15⁴+16⁴According to the value and formula (y + Deltay) of the outer side Deltay of the rectangular right wide edge line⁴＜x⁴+y⁴＜(y+Δy+1)⁴When Δ y is 2, the ratio is directly determined byThe blue color display or readout in the rectangular grid with the fourth power sum formula is 16⁴＜13⁴+14⁴＜17⁵，17⁴＜14⁴+15⁴＜18⁵，18⁴＜15⁴+16⁴＜19⁴(ii) a The fourth power of the white coloration and the formula are respectively 8⁴+9⁴，9⁴+10⁴，9⁴+11⁴，10⁴+11⁴，10⁴+12⁴，10⁴+13⁴，11⁴+12⁴，11⁴+13⁴，11⁴+14⁴，12⁴+13⁴，12⁴+14⁴，12⁴+15⁴，12⁴+16⁴，13⁴+15⁴，13⁴+16⁴，14⁴+16⁴According to the value and formula of delta y outside the right wide edge line of the rectangle (y + delta y)⁴＜x⁴+y⁴＜(y+Δy+1)⁴When Δ y is 1, the white color in the rectangular cell in which the sum of the powers of the four powers is directly displayed or the corresponding Verma inequality is directly read out and displayed is 10⁴＜8⁴+9⁴＜11⁵，11⁴＜9⁴+10⁴＜12⁵，12⁴＜9⁴+11⁴＜13⁵，12⁴＜10⁴+11⁴＜13⁵，13⁴＜10⁴+12⁴＜14⁵，14⁴＜10⁴+13⁴＜15⁵，13⁴＜11⁴+12⁴＜14⁵，14⁴＜11⁴+13⁴＜15⁵，15⁴＜11⁴+14⁴＜16⁵，14⁴＜12⁴+13⁴＜15⁵，15⁴＜12⁴+14⁴＜16⁵，16⁴＜12⁴+15⁴＜17⁵，17⁴＜12⁴+16⁴＜18⁵，16⁴＜13⁴+15⁴＜17⁵，17⁴＜13⁴+16⁴＜18⁵，17⁴＜14⁴+16⁴＜18⁵All the other quadratically sum form x in the rectangular blocks colored green or yellow⁴+y⁴The Fermat inequality of (a) can be directly represented by the formula y⁴＜x⁴+y⁴＜(y+1)⁴Show, thereby demonstrating the Verma theorem, when the positive integer n is 4, x⁴+y⁴≠z⁴This is true.

Referring to fig. 7, fig. 7 is a schematic structural diagram of a positive integer power-of-five sum-of-squares plate (three) of the present invention, which is characterized in that: the positive integer quintic power and formula board (three) is a structural characteristic applying a positive integer n-th power and formula board (3), when the positive integer n is 5, x and y respectively take positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 and … …, the quintic power and formula corresponding to the positive integer and the quintic power are sequentially arranged in each rectangular grid, and in the same rectangular grid, the quintic power and formula are arranged at the lower part, the quintic power and formula are arranged at the upper part, Arabic numerals 5 for representing the times are printed in two small squares outside a long edge line above the rectangle, except that a diagonal line is in each rectangular grid, and each square in each row from the 2 nd to the later is in green; in each square rectangle above the diagonal and below row 1, the white-colored quintic power and formula is 10⁵+11⁵，11⁵+12⁵，12⁵+13⁵，12⁵+14⁵，13⁵+14⁵，13⁵+15⁵，13⁵+16⁵，14⁵+15⁵，14⁵+16⁵，15⁵+16⁵According to the value and formula (y + Deltay) of the outer side Deltay of the rectangular right wide edge line⁴＜x⁴+y⁴＜(y+Δy+1)⁴When Δ y is 1, the corresponding Verma inequalities are displayed or read out in the blue color within the rectangular cell in which each quintic power sum formula is directly included, and are respectively 12⁵＜10⁵+11⁵＜13⁵，13⁵＜11⁵+12⁵＜14⁵，14⁵＜12⁵+13⁵＜15⁵，15⁵＜12⁵+14⁵＜16⁵，15⁵＜13⁵+14⁵＜16⁵，16⁵＜13⁵+15⁵＜17⁵，17⁵＜13⁵+16⁵＜18⁵，16⁵＜14⁵+15⁵＜17⁵，17⁵＜14⁵+16⁵＜18⁵，17⁵＜15⁵+16⁵＜18⁵All the quintic powers and the formula x in the remaining rectangular squares colored green or yellow⁵+y⁵The Fermat inequality of (a) can be directly represented by the formula y⁵＜x⁵+y⁵＜(y+1)⁵Show, thereby demonstrating the Verma theorem, when the positive integer n is 5, x⁵+y⁵≠z⁵This is true.

Referring to fig. 8, fig. 8 is a schematic structural diagram of a positive integer power-of-six sum-of-squares plate (iv) of the present invention, which is characterized in that: the positive integer sextuple power and formula board (IV) is the structural characteristic of applying positive integer n-th power and formula board (3), when positive integer n is 6, x and y respectively take positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … …, the sextuple power and formula and sextuple power sum corresponding to the positive integer are arranged in each rectangular grid in sequence, and in the same rectangular grid, the sextuple power and formula are arranged at the lower part, the sextuple power and formula are arranged at the upper part, Arabic numerals 6 for representing the number of times are printed in two small squares outside a long edge line above the rectangle, except that the squares on the diagonal line are all red, and the squares in each row from the 2 nd to the following rows are all green; in the rectangular squares above the diagonal and below row 1, the white-colored power and formula is 12⁶+13⁶，13⁶+14⁶，14⁶+15⁶，15⁶+16⁶According to the value and formula (y + Deltay) of the outer side Deltay of the rectangular right wide edge line⁶＜x⁶+y⁶＜(y+Δy+1)⁶When Δ y is 1, the sum of the sextic powers is directly expressedThe corresponding Verma inequalities displayed or read in blue by the rectangular grid are respectively 14⁶＜12⁶+13⁶＜15⁶，15⁶＜13⁶+14⁶＜16⁶，16⁶＜14⁶+15⁶＜17⁶，17⁶＜14⁶+16⁶＜18⁶，17⁶＜15⁶+16⁶＜18⁶All the sum of powers of six x in the remaining green-or yellow-colored rectangular blocks⁶+y⁶The Fermat inequality of (a) can be directly represented by the formula y⁶＜x⁶+y⁶＜(y+1)⁶Show, thereby demonstrating the Verma theorem, when the positive integer n is 6, x⁶+y⁶≠z⁶This is true.

Referring to fig. 9, fig. 9 is a schematic structural diagram of a positive integer power-of-seven sum-of-squares plate (v) of the present invention, which is characterized in that: the positive integer power and power board (V) is the structural characteristic of the positive integer power and power board (3), when the positive integer n is 7, x and y are positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 and … … respectively, the corresponding power and power sum of seven are arranged in each rectangular grid in sequence, and in the same rectangular grid, the power and power sum of seven is arranged below, the power and power sum of seven is arranged above, Arabic numerals 7 for representing times are printed in two small squares outside a long edge line above the rectangle, except that the squares on the diagonal line are all red, and in each rectangular grid from the 2 nd row to the following row in the 1, the squares are all green; in the rectangular squares above the diagonal and below row 1, the power of the white coloration and the formula of the power of the seventh power are 14⁷+15⁷，15⁷+16⁷Two, according to the value and formula (y + Deltay) of the outer side Deltay of the rectangle right wide edge line⁷＜x⁷+y⁷＜(y+Δy+1)⁷When Δ y is 1, the corresponding fisherman inequalities are displayed or read in blue within the rectangular cell in which each of the seven-power sum expressions is directly contained, and are respectively 16⁷＜14⁷+15⁷＜17⁷，17⁷＜15⁷+16⁷＜18⁷All the other seven powers in the rectangular grid colored green or yellow and the formula x⁷+y⁷The Fermat inequality of (a) can be directly represented by the formula y⁷＜x⁷+y⁷＜(y+1)⁷Show, thereby demonstrating the Verma theorem, when the positive integer n is 7, x⁷+y⁷≠z⁷This is true.

Referring to fig. 10, fig. 10 is a schematic structural diagram of a positive integer power-of-eight sum-mode plate (six) of the present invention, which is characterized in that: the positive integer power-of-eight and formula board (six) is the structural characteristic of the positive integer power-of-n and formula board (3), when the positive integer n is 8, x and y are respectively positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 and … …, the corresponding power-of-eight and formula are arranged in each rectangular grid in sequence, and in the same rectangular grid, the power-of-eight and formula are arranged below and above the power-of-eight and formula, Arabic numerals 8 are printed in two small squares outside a long edge line above the rectangle, the squares are all red in each rectangle on a diagonal line, the squares in each row from the 2 nd row to the following rows in the 1 st row are all green, and the squares above the diagonal line are all yellow in each rectangle below the 1 st row, corresponding to the power of 8 and the formula x⁸+y⁸Can be directly represented by the formula (y + delta y)⁸＜x⁸+y⁸＜(y+Δy+1)⁸Take Δ y as 0, or directly from formula y⁸＜x⁸+y⁸＜(y+1)⁸Show, thereby demonstrating the Verma theorem, when the positive integer n is 8, x⁸+y⁸≠z⁸This is true.

Referring to fig. 11, fig. 11 is a schematic structural diagram of a positive integer power-of-nine sum-of-squares plate (qi) of the present invention, which is characterized in that: the positive integer ninth power sum formula plate (seven) is a structural characteristic applying the positive integer nth power sum formula plate (3), when the positive integer n is 9, x and y respectively take the positive integers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 and … …, the corresponding ninth power sum formula and the ninth power sum formula are sequentially arranged in each plateIn the rectangular grids, in the same rectangular grid, the power sum of the ninth power is arranged below, the power sum of the ninth power is arranged above, Arabic numerals 9 for representing the times are printed in two small squares outside the long edge line above the rectangle, except that the rectangular grids on the diagonal are all red, the rectangular grids in the rows 1 from the 2 nd to the following rows are all green, the rectangular grids above the diagonal and below the row 1 are all yellow, and the corresponding power sum of the ninth power and the formula x⁹+y⁹Can be directly represented by the formula (y + delta y)⁹＜x⁹+y⁹＜(y+Δy+1)⁹Take Δ y as 0, or directly from formula y⁹＜x⁹+y⁹＜(y+1)⁹Show, thereby demonstrating the Verma theorem, when the positive integer n is 9, x⁹+y⁹≠z⁹This is true.

Referring to fig. 12, fig. 12 is a schematic structural diagram of a positive integer n-order variable form power sum plate (eight) of the present invention, which is characterized in that: the positive integer n-degree variable form power sum formula plate (eight) applies the structural characteristics of the positive integer n-degree variable form power sum formula plate 3 to convert the positive integer n-degree power 1 of the 0 th row (or 0 th column)ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, replacement by 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… …, then, column 0 is raised from row 1 to row 17 to column 1 to the power of 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… …, shifted right into each column of rectangular squares as the 1 st addend of each nth power sum formula, and from column 1 to column 17 in row 11 line to the power of n 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，……，xⁿ，(x+1)ⁿ，……，yⁿ，(y+1)ⁿ，……，zⁿ，(z+1)ⁿ… …, translating downward into the rectangular grids of each row, as the 2 nd addition of each n power sum formula, printing Latin letters n representing the times in two small squares outside the long edge line above the rectangle, except that the diagonal line is red in each rectangular grid, the 2 nd to the right in the 1 st row is green in each rectangular grid, the 2 nd to the 5 th rows are yellow in each rectangular grid, and from the 6 th to the following rows, white, blue or yellow is respectively marked in irregular distribution for displaying the formula (y + delta y)ⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿWhen the middle delta y takes different values, the power of n and the formula x in each rectangular grid of each row can be respectively determined according to the value of the delta yⁿ+yⁿThe display panel is made into a general form for demonstrating the establishment of the large theory of the Verma according to the corresponding Verma inequality, wherein in positive integers x, y, z and n, n is more than or equal to 3, x +1 is less than y, and y +1 is less than z.

Referring to fig. 13, fig. 13 is a schematic structural diagram of a touch screen switch cover plate 4 of the present invention, and is characterized in that: touch screen switch apron 4, be the cuboid shaped plate of the transparent plastic panel processing preparation that chooses for use to have toughness and elastic characteristic, length and width are equal to the length and the width of rectangle square bottom plate 1 respectively, the position of the inboard cylinder positioning aperture in 1 four corners of rectangle square bottom plate corresponds to, each bores through 1 diameter to be the cylinder positioning aperture of R, put for the level desktop is upright, from top to bottom overlook, its lower surface reverse printing has the rectangle square the same with the upper surface of rectangle square bottom plate 1, geometric figure and word information, all be forward, correspond with the middle part position of the handle of switch K in 1 st row to 17 th row of general integrated circuit board 2, up drilled in each rectangle square of touch screen switch apron 4 and installed 1 cylinder metal contact that has magnetism, the length that each cylinder metal contact exposes from the lower surface down is greater than positive integer n power type square and formula board 3, the position of the cylindrical metal contact is touched and pressed by a finger on the upper surface, the downward acting force of the cylindrical metal contact is applied to a handle of a switch K of the universal integrated circuit board 2 to close the switch K, the position of the cylindrical metal contact is touched and pressed again, the cylindrical metal contact is separated from the handle of the switch K, the original state is recovered under the action of the elastic force of the plastic plate, the switch K is disconnected by the attraction of the magnetic force of the cylindrical metal contact to the handle of the switch K, and the touch screen switch cover plate 4 is manufactured.

Referring to fig. 14, fig. 14 is a schematic structural diagram of a cubic display panel 5 of the present invention, which is characterized in that the cubic display panel 5 is formed by applying a combined display panel mounting method on a horizontal desktop, and randomly selecting 1 rectangular grid bottom plate 1, a universal integrated circuit board 2, a positive integer cubic power sum type plate (one), and 1 touch screen switch cover plate 4, and vertically overlapping from bottom to top in sequence, and combining the cubic display panel 5, wherein 1 row of red Chinese characters of a ' fisherman's theorem demonstration model cubic display panel ' is printed at a position between two small squares on an upper surface in a top view, and colors of the rectangular grids above and below the diagonal are printed, or switches K in the rectangular grids are closed, and a lamp L is used according to the three-time display panel 5₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the power sum of the three powers x in the rectangular grid where the switch is positioned³+y³The power x of the 0 th power of each row in which the switch K is located³Plus the power of the third power y of the 0 th row in the column in which the switch K is located³Composition, also shown with the sum of powers of three and formula x³+y³Corresponding Verma inequality m³＜x³+y³＜(m+1)³The demonstration felma principle holds when n is 3.

Referring to fig. 15, fig. 15 is a schematic view showing the structure of the quadruple display panel 6 of the present invention, wherein: the quartic display board 6 is formed by applying a combined display board mounting method on a horizontal desktop, taking 1 of a rectangular grid bottom board 1, a universal integrated circuit board 2, a positive integer power of four sum type board (II) and a touch screen switch cover board 4, sequentially and vertically overlapping from bottom to top, and combining and mounting the quartic display board 6 and overlooking the two small squares on the upper surfaceThe position between the two Chinese characters is printed with 1 line of red Chinese characters of 'four display boards of the demonstration model of the Verma theorem', the colors of the rectangular grids on the diagonal line and the upper line and the 1 st line and the lower line are defined, or the switch K in each rectangular grid is closed, and the light is L₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the power sum of the fourth power in the rectangular grid of the switch⁴+y⁴The fourth power x of column 0 in the row by switch K⁴Plus the power of the fourth power y of the 0 th row in the column in which the switch K is located⁴Composition, also shown is the sum of the powers of the fourth power and the formula x⁴+y⁴Corresponding Verma inequality m⁴＜x⁴+y⁴＜(m+1)⁴The demonstration felma principle holds when n is 4.

Referring to fig. 16, fig. 16 is a schematic structural diagram of a quintic display panel 7 of the present invention, which is characterized in that the quintic display panel 7 is formed by applying a combined display panel mounting method on a horizontal desktop, and taking 1 rectangular grid bottom plate 1, a universal integrated circuit board 2, a positive integer quintic power sum-of-power board (three) and 1 touch screen switch cover plate 4 respectively, vertically overlapping from bottom to top in sequence, combining and mounting the quintic display panel 7, printing 1 row of red characters of a three-time display panel of a fisherman's theorem demonstration model on a position between two small squares on an upper surface in a plan view, and closing a switch K in each rectangular grid according to colors in a diagonal line and the upper row and the 1 lower row of rectangular grids or closing the switch K in each rectangular grid according to an electric lamp L₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the quintic powers and the formula x in the rectangular grid where the switch is positioned⁵+y⁵Quintic power x of column 0 in the row by switch K⁵Plus the quintic power y of the 0 th row in the column in which the switch K is located⁵Composition, also shown is the sum of the quintic powers and the formula x⁵+y⁵Corresponding Verma inequality m⁵＜x⁵+y⁵＜(m+1)⁵The demonstration felma principle holds when n is 5.

Referring to fig. 17, fig. 17 is a schematic view showing a structure of a six-time display panel 8 of the present invention, wherein: the six-time display board 8 is applied to a horizontal desktopA combined installation method of display boards includes selecting 1 of rectangular square bottom board 1, universal integrated circuit board 2, positive integer six power sum board (IV) and touch screen switch cover board 4, vertically overlapping from bottom to top in sequence, combining and installing six display boards 8, printing 1 line of red Chinese characters of ' Firma ' theorem demonstration model six display boards ' at the position between two small squares on the overlooking upper surface, according to the colors of diagonal line and above and 1 line and below rectangular squares, or closing switch K in each rectangular square, according to electric lamp L₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the power of six and the formula x in the rectangular grid where the switch is positioned⁶+y⁶The sixth power x of column 0 in the row by switch K⁶Plus the power of the sixth power y of the 0 th row in the column in which the switch K is located⁶Composition, also shown in sum with the power of six and formula x⁶+y⁶Corresponding Verma inequality m⁶＜x⁶+y⁶＜(m+1)⁶The demonstration of the felma theorem holds when n is 6.

Referring to fig. 18, fig. 18 is a schematic structural diagram of the seven-time display panel 9 of the present invention, which is characterized in that the seven-time display panel 9 is a seven-time display panel assembled on a horizontal desktop by applying a method of assembling and installing the display panel, wherein 1 rectangular square bottom plate 1, a universal integrated circuit board 2, a positive integer seven-power sum-of-power board (five), and 1 touch screen switch cover plate 4 are selected and sequentially overlapped from bottom to top, the seven-time display panel 9 is assembled and installed, 1 row of red characters of a ' fisherman's theorem demonstration model seven-time display panel ' is printed at a position between two small squares on an overlooking upper surface, and according to colors of diagonal lines and rectangular squares above and below the 1 row, or switches K in the rectangular squares are closed, and according to an electric lamp L₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the power sum of the seven powers and the formula x in the rectangular grid where the switch is positioned⁷+y⁷The sixth power x of column 0 in the row by switch K⁷Plus the power of seven y of the 0 th row in the column in which the switch K is located⁷Composition, also shown with the sum of powers and formula x⁷+y⁷Corresponding Verma inequality m⁷＜x⁷+y⁷＜(m+1)⁷The demonstration felma principle holds when n is 7.

Referring to fig. 19, fig. 19 is a schematic structural diagram of an eight-time display panel 10 of the present invention, which is characterized in that the eight-time display panel 10 is formed by applying a combined display panel method on a horizontal desktop, and combining and assembling the eight-time display panel 10 by vertically overlapping 1 rectangular grid base plate 1, a universal integrated circuit board 2, a positive integer eight power sum type panel (six), and 1 touch screen switch cover plate 4 from bottom to top in sequence, and printing 1 row of red characters of a "fisherman big theorem demonstration model eight-time display panel" on a position between two small squares on an upper surface in a plan view according to colors of the diagonal line and the rectangular grids above and 1 row and below or closing a switch K in each rectangular grid, and according to an electric lamp L₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the power sum of the eight powers x in the rectangular grid where the switch is located⁸+y⁸Power of eight x of column 0 in the row by switch K⁸Plus the power of eight y of the 0 th row in the column in which the switch K is located⁸Composition, also shown with the sum of powers and formula x⁸+y⁸Corresponding Verma inequality m⁸＜x⁸+y⁸＜(m+1)⁸The demonstration of the felma theorem holds when n is 8.

Referring to fig. 20, fig. 20 is a schematic structural diagram of a nine-time display panel 11 of the present invention, which is characterized in that the nine-time display panel 11 is formed by applying a combined display panel method on a horizontal desktop, and randomly selecting 1 rectangular square bottom plate 1, a universal integrated circuit board 2, a positive integer nine-power sum-of-power board (seven), and 1 touch screen switch cover board 4, sequentially and vertically overlapping from bottom to top, combining and mounting the nine-time display panel 11, printing 1 row of red chinese characters of a ' fisherman's theorem demonstration model nine-time display panel ' at a position between two small squares on an upper surface in a top view, and closing a switch K in each rectangular square according to a diagonal line and colors of each rectangular square above and below the row 1, or closing a switch K in each rectangular square, and according to an electric lamp L₁An electric lamp L and an electric lamp L₂The emitted lights with different colors show the nine powers and the formula x in the rectangular grid where the switch is positioned⁹+y⁹By a switchThe power of the 0 th column in the row of K⁹Plus the power of nine y of the 0 th row in the column in which the switch K is located⁹Composition, also shown with the sum of powers and formula x⁹+y⁹Corresponding Verma inequality m⁹＜x⁹+y⁹＜(m+1)⁹The demonstration felma principle holds when n is 9.

Referring to fig. 21, fig. 21 is a schematic structural diagram of an n-time general display panel 12 according to the present invention, which is characterized in that: the n-time universal display board 12 is formed by applying a combined display board mounting method on a horizontal desktop, randomly selecting 1 of a rectangular grid bottom board 1, a universal integrated circuit board 2, a positive integer n-time power sum formula board 3 and a touch screen switch cover board 4, vertically overlapping from bottom to top, combining and mounting the n-time universal display board 12, printing 1 row of red Chinese characters of a ' Fermat ' theorem demonstration model n-time universal display board ' at a position between two small squares on an overlooking upper surface, when the positive integer n is more than or equal to 10, not only all the rectangular grids on a diagonal line are colored with red and all the rectangular grids on a 1 st row are colored with green, all the rectangular grids above the diagonal line and below the 1 st row are colored with yellow, and demonstrating the 1 st row to the 17 th row and all the power sum formula x in the 1 st row to the 17 th rowⁿ+yⁿCorresponding Verma inequality, yⁿ＜xⁿ+yⁿ＜(y+1)ⁿThe Verma theorem is determined by applying a specific numerical demonstration to hold these n-power sum equations.

Referring to fig. 22, fig. 22 is a schematic structural diagram of an n-order variable four-color display panel 13 of the present invention, wherein: the n-time variable type four-color display board 13 is formed by applying a combined display board mounting method on a horizontal desktop, randomly selecting 1 of a rectangular grid bottom board 1, a universal integrated circuit board 2, a positive integer n-time variable type idempotent board (eight) and a touch screen switch 4, vertically overlapping from bottom to top, and combining and mounting the n-time variable type four-color display board 13, printing 1 row of red Chinese characters of a 'Verma theorem demonstration model n-time variable type four-color display board' at a position between two small squares on the overlooking upper surface, and respectively arranging 5 different colors of red, green, blue, yellow and white in diagonal lines, above the diagonal lines, 1 row and each rectangular grid below the diagonal lines, wherein the colors are actually except white,displaying in only 4 different colors, or closing switch K, according to lamp L₁An electric lamp L and an electric lamp L₂Different emitted color lights are used for displaying the Fei 'e inequality corresponding to different power sum formulas, according to the Fei' e inequality parameter method, the delta y of the ith row outside the right wide edge line of the rectangle is used for demonstration, the positive odd delta y is taken as 7 without any hindrance, then the color of the ith row below the 1 st row above the diagonal from left to right presents the image of 'white blue and white … … white blue and white yellow', the total of 8 parts of 3 colors are used from left to right, and the formula (y + delta y) is appliedⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿTaking Δ y as 7, reading, writing or demonstrating the power sum of squares x of several rectangles colored white in part 1ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +7)ⁿ＜xⁿ+yⁿ＜(y+8)ⁿTo the right, the value of Δ y is decreased by 1, and when Δ y is equal to 6, the power sum of squares x in several rectangular squares colored blue in part 2 is read, written or displayedⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +6)ⁿ＜xⁿ+yⁿ＜(y+7)ⁿWhen Δ y is 5, the power sum of squares x in several rectangular squares which are colored white in part 3 is read, written or demonstratedⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +5)ⁿ＜xⁿ+yⁿ＜(y+6)ⁿWhen Δ y is 4, read, write or demonstrate the power sum of squares x of several rectangles colored blue in part 4ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +4)ⁿ＜xⁿ+yⁿ＜(y+5)ⁿWhen Δ y is 3, the power sum of squares x in several rectangular squares which are colored white in part 5 is read, written or demonstratedⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +3)ⁿ＜xⁿ+yⁿ＜(y+4)ⁿWhen Δ y is 2, read, write or demonstrate the power sum of squares x of several rectangles with blue coloring on part 6ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +2)ⁿ＜xⁿ+yⁿ＜(y+3)ⁿWhen Δ y is 1, the power sum of squares x in several rectangular squares which are colored white in part 7 is read, written or demonstratedⁿ+yⁿCorresponding VerilHorse inequality is (y +1)ⁿ＜xⁿ+yⁿ＜(y+2)ⁿWhen Δ y is 0, the power sum of squares x of several rectangular squares colored yellow in part 8 is read, written or demonstratedⁿ+yⁿCorresponding to the Fermat inequality yⁿ＜xⁿ+yⁿ＜(y+1)ⁿ(ii) a If the even number Δ y is 8, as shown in fig. 22, line 8, the colors in line i below line 1 above the diagonal line are "blue white … … blue white yellow" from left to right, and there are 9 parts of 3 colors, from left to right, applying the formula (y + Δ y)ⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿΔ y ═ 8, read, write, or demonstrate the sum of the powers of several rectangular squares shaded blue in part 1, and xⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +8)ⁿ＜xⁿ+yⁿ＜(y+9)ⁿTo the right, the value of Δ y is reduced by 1, and when Δ y equals 7, the power sum of squares x is read, written or rendered in several rectangular squares colored white in part 2ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +7)ⁿ＜xⁿ+yⁿ＜(y+8)ⁿWhen Δ y is 6, read, write or demonstrate the power sum of squares x of several rectangles shaded blue in part 3ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +6)ⁿ＜xⁿ+yⁿ＜(y+7)ⁿWhen Δ y is 5, read, write or demonstrate the power sum of squares x of several rectangles painted white in part 4ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +5)ⁿ＜xⁿ+yⁿ＜(y+6)ⁿWhen Δ y is 4, read, write or demonstrate the power sum of squares x of several rectangles shaded blue in part 5ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +4)ⁿ＜xⁿ+yⁿ＜(y+5)ⁿWhen Δ y is 3, the power sum of squares x in several rectangular squares which are colored white in part 6 is read, written or demonstratedⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +3)ⁿ＜xⁿ+yⁿ＜(y+4)ⁿWhen Δ y is 2, read, write or demonstrate the power sum of squares x of several rectangles with blue coloring on part 7ⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +2)ⁿ＜xⁿ+yⁿ＜(y+3)ⁿWhen Δ y is 1, the power sum of squares x in several rectangular squares which are colored white in part 8 is read, written or demonstratedⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +1)ⁿ＜xⁿ+yⁿ＜(y+2)ⁿWhen Δ y is 0, the power sum of squares x of several rectangles colored yellow in part 9 is read, written or demonstratedⁿ+yⁿCorresponding to the Fermat inequality yⁿ＜xⁿ+yⁿ＜(y+1)ⁿReferring to fig. 4 to 11, it is judged that 4 rows are located below the 1 st row on the diagonal line of fig. 22 and at least 4 rows (2 nd row to 5 th row) are all colored yellow, wherein 4 rows are colored yellow when n is 3 times, 6 rows are colored yellow when n is 4 times, 8 rows are colored yellow when n is 5 times, 10 rows are colored yellow when n is 6 times, 12 rows are colored yellow when n is 7 times, 14 rows are colored yellow when n is 8 times, 17 rows are colored yellow when n is 9 times, and at least 18 rows are all colored yellow when n is 10 times, so that it is judged that the positive integer power n when n is 10 in fig. 4 and the formula plate 3 are all colored yellow to be certain correct, and that the positive integer power n is 6857857921 < 6975757441, 1.10 < 1.10 × 10 and 4294967296 < 6975757441 are all colored yellow¹⁰＜1.13×10¹⁰＜1.70×10¹⁰Judgment 16⁸＜15⁸+16⁸＜17⁸，18⁸＜16⁸+17⁸＜19⁸Determining that the 16 th column in the 15 th row and the right rectangular squares in the 15 th row are all yellow when n is 8 times in the graph 10, thereby determining that the 14 rows from the 2 nd row to the 15 th row are all yellow, and determining that the graph is 1.98 × 10¹¹＜3.17×10¹¹＜3.23×10¹¹，5.12×10¹¹＜5.21×10¹¹＜7.94×10¹¹Judgment 18⁹＜17⁹+18⁹＜19⁹，20⁹＜18⁹+19⁹＜21⁹In fig. 11, it is determined that the rectangular cells in the 18 th row and the right row in the 17 th row are colored yellow when n is 9 times, and it is determined that the rectangular cells in the 2 nd row and the 17 th row are colored yellow, and that the rectangular cells in the 18 rows and the 18 columns above the diagonal of the rectangle are colored yellow when n is 10 times or more, and thus the fermat is demonstrated by applying the n-time variable four-color display panel 13The big theorem.

Referring to fig. 23, fig. 23 is a schematic structural view of the base 14 of the present invention, which is characterized in that: the base 14 is a U-shaped layered support which is manufactured by selecting 1 rectangular metal plate as a horizontal bottom plate and 2 transparent rectangular organic glass plates as front and back vertical wallboards, wherein the length of the bottom plate and the length of the wallboards are both equal to the length of the rectangular square bottom plate 1, the two rectangular wallboards are vertically arranged in the front and back directions of the upper surface of the horizontal vertical bottom plate, the two outer side surfaces of the two wallboards and the two outer side surfaces determined by the long edge and the high edge of the bottom plate are respectively in the same plane, the gaps are bonded by using a colloid adhesive, the positions of the wallboards and the bottom plate are fixed, then, 2 threaded holes with the same depth are drilled in the middle part, which is just opposite to the thickness of the two wallboards, from the lower surface of the bottom plate upwards, and are screwed up by using screws with caps for reinforcement, thus the base frame of the U; the width between two inner side surfaces of the front and rear two square wall boards determined by the length and the height is smaller than the width of the tertiary display board 5, the width between two outer side surfaces of the front and rear two square wall boards determined by the length and the height is larger than the width of the tertiary display board 5, a plurality of concave grooves are dug from the opposite positions of the inner side surfaces of the front and rear two vertical wall boards from bottom to top to the direction of the outer side surface to the middle part of the wall board, the height of each concave groove is equal to the thickness of the tertiary display board 5, and the width between two bottom surfaces of two concave grooves opposite at the same height position is equal; the 1 st pair of concave grooves on the uppermost inner sides of the two wallboards of the base 14 are display board electrifying display concave grooves, the 2 nd pair of concave grooves are standby concave grooves, the bottom surfaces of the uppermost concave grooves of the rear wallboards are opposite to the positions of two cylindrical jacks horizontally outward of power wiring terminals a and f on the tertiary display board 5, and two cylindrical holes are drilled through and are power wiring jacks; the outer side of the wall board erected in front is printed with 3 lines of character information with different colors, the 1 st line is 10 red Chinese characters of a ' Fermat ' theorem demonstration model, and the 2 nd line is a mathematical formula ' x ' representing the conclusion of the Fermat ' theoremⁿ+yⁿ≠zⁿ", green, line 3 is" x, y, z, N ∈ N^*N is more than or equal to 3' and is blue, the left side of the bottom plate is provided with 1 transparent cuboid organic glass plate, and the height of the organic glass plate is equal to that of the transparent cuboid organic glass plateThe thickness of the bottom plate of the base 14 and the height of 1 wallboard are the same, the length of the organic glass plate is equal to the width between the outer side surfaces of the two vertical wallboards in the front and the back, and the organic glass plate on the left side is bonded and fixed with the gap of the contact surface of the wallboard and the bottom plate by using a colloid adhesive; a base 14 is made by horizontally installing 1 rectangular coil made of golden yellow insulated metal wire between the 4 th concave groove and the 5 th concave groove on the left and right sides of the front and back two wall boards, printing 1 row of integers-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, … … on the opening position of each concave groove on the right side of the front wall board from bottom to top, and dividing the rectangular coil into an upper part and a lower part, wherein n is 3, 4, 5, 6, 7, … … above the rectangular coil and is used for indicating the position of the display panel for n times.

Referring to fig. 24, fig. 24 is a schematic diagram of the operating principle of the general ic board 2 of the present invention, which is characterized in that the principle of the schematic diagram of the operating principle of the general ic board 2 is the same as that of the general ic board 2, and the structure of the schematic diagram is that the general ic board 2 displays a part of the integrated circuits in the rectangular grid of 4 rows and 4 columns from the 0 th column to the 3 rd column in the 0 th row to the 3 rd column, when in application, the two terminals a and f in the rectangular grid of the 0 th column in the 0 th row are connected with the power supply, and the power indicator L is connected with the power indicator₀Red light to form the operating circuit of the integrated circuit, when the switch K in the rectangular grid of column 2 in row 3 is closed, there is a lamp L in row 3 in column 0₁Row 3 lamp L in column 2 and row 0 lamp L in column 3₂Are connected in series to form an operating circuit in which current flows in a direction from the power supply terminal a to the terminal b to the lamp L₁Flow to terminal c to lamp L to switch K to terminal d to lamp L₂The flow direction terminal e flows to the power supply terminal f, which is abbreviated as a → b → L₁→c→L→K→d→L₂→ e → f, at this time, the electric lamp L₁Purple light, green light from lamp L, and green light from lamp L₂And emitting blue light, opening the switch, closing other switches and continuing the demonstration.

In the three-time display board 5, the four-time display board 6, the five-time display board 7, the six-time display board 8, the seven-time display board 9, the eight-time display board 10, the nine-time display board 11, the n-time general display board 12 and the n-time variable four-color display board 13, any 1 piece is horizontally inserted into the power-on display concave groove of the uppermost display board at the inner side of the two wall boards of the base 14, the upper surfaces of the display boards are flush with the upper surfaces of the two vertical wall boards of the base 14, and 3 visual effects of the upper surfaces in the same plane are demonstrated, so that a reader can conveniently observe and utilize the,

The specific embodiments, functions and effects of the present invention can also be specifically illustrated by the following examples, power and power of reduction demonstrations, and the theory of fermat's law of missing proof of guess, by application.

Example 1: referring to fig. 1, 14 and 23, the third display panel 5 is inserted into the power-on display concave groove of the display panel inside the two vertical wallboards at the top of the base 14, a power plug is inserted, the power is switched on, the power indicator lamps in the 0 th column of the 0 th row at the upper left corner of the third display panel 5 emit red light, and the integrated circuit is in a normal state; on the upper surface of the cubic display board 5, the touch closes the switch K in the rectangular square with the 7 th column in the 6 th row, and the power of the third power in the rectangular square is displayed so that the power of the third power 559 is not only equal to the power of the third power 6 in the 6 th row in the 0 th column³Plus a power of 7 to the 7 th power in row 0³Also shown is that the power of third power sum 559 is between 8 and 8 in column 8 in row 0³And the power of 9 in column 9³To obtain 8³＜6³+7³＜9³The Fisher-horse inequality of (1) to yield 6³+7³≠1³，2³，3³，4³，5³，6³，7³，8³，9³，10³，11³… …, thereby determining the Firman theorem pair 6³+7³≠z³(z is a positive integer) and switch K is turned off; and closing the switches K in other rectangular grids, and demonstrating to obtain other similar conclusions.

Example 2: referring to fig. 1, 15 and 23, the quartic display board 6 is inserted into the display board power-on display concave groove on the inner sides of two vertical wall boards above the base 14, a power plug is inserted, the power is switched on, and the quartic display board 6 is connected with the power supply, and the upper left corner of the quartic display board 6 is connected with the 0 th column of the 0 th rowThe power indicator lamp in the LED lamp emits red light, and the integrated circuit is in a normal state; on the upper surface of the quartic display panel 6, the touch closes the switch K in the rectangular square in which the 7 th column in the 6 th row is positioned, and the power of the fourth power in the rectangular square 10657 is displayed to be not only equal to the power of the fourth power 8 in the 8 th row in the 0 th column⁴Plus a power of the fourth power of 9 in column 10 of row 0⁴Also shown is that the power of the fourth power sum 10657 is between the power of the fourth power of 10 in column 10 in row 0 and 10⁴And the power of the fourth power of 11 in column 11⁴To obtain 10⁴＜8⁴+9⁴＜11⁴The Fisher-horse inequality of (A) also yields 8⁴+9⁴≠1⁴，2⁴，3⁴，4⁴，5⁴，6⁴，7⁴，8⁴，9⁴，10⁴，11⁴，12⁴… … thus, Firman's theorem 8 is judged⁴+9⁴≠z⁴(z is a positive integer) and switch K is turned off; the switches K in the other rectangular squares are closed and the demonstration reaches similar other conclusions.

Power and reduced power representation.

Optionally selecting 1 quintic display board 7, placing the display board at the top of the base 14 in the power-on display concave groove, closing any switch K, and setting the quintic power sum x in the square of the switch K⁵+y⁵Minus less than y⁵All powers of five a⁵：1⁵，2⁵，3⁵，……，(y-2)⁵，(y-1)⁵Demonstrating that the obtained difference is always between two adjacent powers of the power of 0 and does not exceed 2-y⁵And is located at y⁵Left and right, thereby demonstrating (y)⁵+y⁵)-a⁵≠b⁵Thereby demonstrating that the large Verma theorem holds.

Power and power of decreasing representation: the display panel is set to have a sum of power of n and formula xⁿ+yⁿThe sum of powers of n is determined as M, and the sum of powers of M minus less than yⁿAll powers of 1 to the n power of the same degreeⁿ，2ⁿ，3ⁿ，……，(y-2)ⁿ，(y-1)ⁿThe difference obtained is other than xⁿAnd yⁿBesides, it is not obviousPower of 0 th row 1 on the boardⁿ，2ⁿ，3ⁿ，……，(x-1)ⁿ，(x+1)ⁿ，……，(y-1)ⁿ，yⁿ，(y+1)ⁿ… …, thereby determining xⁿ+yⁿ≠zⁿ。

According to the power of the power and the power of the decreasing, it is easy to see that: except for M-xⁿ＝yⁿAnd M-yⁿ＝xⁿExcept that there is no other power of the power n aⁿSuch that (x)ⁿ+yⁿ)-aⁿ＝bⁿThus, xⁿ+yⁿ≠aⁿ+bⁿAnd thus must have xⁿ+yⁿ≠zⁿA, b, x, y, z, n are all positive integers, and n is more than or equal to 3.

Example (c): optionally, 1 fifth display panel 7 is placed in the power display concave groove of the display panel positioned at the top of the base 14, the switch K at the 11 th column in the 10 th row is closed, and the power sum of the square power in the rectangular square grid of the switch K is 10⁵+11⁵Subtracting to obtain 261051

261051-1⁵＝261050，261051-2⁵＝261019，261051-3⁵＝260808，261051-4⁵＝260027，

261051-5⁵＝257926，261051-6⁵＝253275，261051-7⁵＝244244，261051-8⁵＝228283，

261051-9⁵＝202002，261051-10⁵＝161051，261051-11⁵＝100000，261051-12⁵＝12219。

According to the above calculation results, 261051-10 is not considered⁵＝161051，261051-11⁵Demonstration on five display panels 7 at 100000, get

6⁵＜12219＜7⁵，11⁵＜202002＜228283＜244244＜12⁵，

12⁵＜253275＜257926＜260027＜260808＜261019＜261050＜13⁵。

Thereby demonstrating 10⁵+11⁵≠z⁵And z is a positive integer.

Similar to the example 1 and the example 2, the demonstration results are utilized to learn the arithmetic of the mathematical algebraic expressions in the junior middle schools, in particular the multiplication formulas, the Yankee triangle invented by Chinese ancient mathematicians can be applied, the Newton binomial theorem can be flexibly applied, the thought and the method of the Verma proving the Verma theorem in the seventeen century are further explored, and the missing proof of the Verma theorem is recovered.

The demonstration model of the large Verma theorem is deeply explored and applied to guide primary and secondary school students to make the mathematical model by self, and the mathematical experiments are actively performed, so that the demonstration model is beneficial to searching for the missing proof of the large Verma theorem and even recovering the missing proof of the large Verma theorem.

The Fermat theorem fails to prove a guess.

In 1637, felma read the ancient Greece "arithmetic" book, and proposed a well-known felma guess for the Pythagorean theorem in the form of divergent thinking more than 2 times.

The Fermat theorem on x, y, z, N ∈ N^*And n is not less than 3, then xⁿ+yⁿ≠zⁿ。

The felma writes in the blank of the book: "it is not possible to divide a positive integer greater than 2 into the sum of two positive integers of powers of the same power. In this conclusion, I have discovered a clever approach to prove that there is a limited space and no written down. ", this is the proof of the loss of the Verma theorem. In 1995, the american mathematician wales demonstrated the large theorem of felma, but fewer than 1000 mathematicians worldwide could read the wales' proofs.

What method felma has been used to prove the large theorem of felma? How skillful is the Firman theorem lost? However, according to the era of survival of the fermat and the mathematical level of the person, the inventor does not necessarily create a mathematical concept and method unknown to the human so far for proving the large fermat theoremⁿ＜xⁿ+yⁿ＜(m+1)ⁿAlways true, where m is a positive integerIt is feared that the method is one of the simplest and most convenient methods for elementary mathematics, but writing the certificate can not be written completely, and the complete certificate of the missing of the large Verma theorem is difficult to be published for any book with limited number of pages.

The inventor's recent invention "demonstration model of the large theorem of Verma", arranges the sums of powers of the same power of positive integers in a rectangular grid in sequence, and reduces the proving work by half according to the addition and exchange law, and the model is applied to demonstrate: for any positive integer x, y, z, n, and n ≧ 3, there is a unique positive integer m, such that mⁿ＜xⁿ+yⁿ＜(m+1)ⁿTo obtain xⁿ+yⁿ≠zⁿThe large Verma theorem is determined to hold.

The Firmat theorem can be proved by applying a Firmat theorem demonstration model and combining a binomial theorem, and is used as a Firmat theorem missing evidence guess, which is briefly described later and referred to by readers.

The first proof of misstatement of Firman theorem: if m isⁿ-xⁿ＝a，(m+1)ⁿ-xⁿB, and a < yⁿ< b, then xⁿ+yⁿ＞xⁿ+a＝mⁿAnd x isⁿ+yⁿ＜xⁿ+b＝(m+1)ⁿI.e. mⁿ＜xⁿ+yⁿ＜(m+1)ⁿWherein x, y, z, m and n are positive integers, and n is more than or equal to 3.

The second proof of misstatement of Firman theorem: if m isⁿ-yⁿ＝c，(m+1)ⁿ-yⁿD, and c < xⁿ< d, then xⁿ+yⁿ＞c+yⁿ＝mⁿAnd x isⁿ+yⁿ＜d+yⁿ＝(m+1)ⁿI.e. mⁿ＜xⁿ+yⁿ＜(m+1)ⁿWherein x, y, z, m and n are positive integers, and n is more than or equal to 3.

In the following, only some power sums of the prescriptions in the "demonstration model of the large theorem of felma" are taken as examples, and 3 times, 4 times, 5 times, 6 times, 7 times, 8 times and 9 times are demonstrated, each of which gives an example of 1, and all the other proofs are completely similar.

And (3) proving that: according to the binomial theorem, the Firman theorem failure proof method one is applied, when n is 3, because 8³-6³＝298，9³-6³513 and 298 < 7³< 513, so 6³+7³＝6³+343＞6³+298＝6³+3×6²×2+3×6×2²+2³＝(6+2)³＝8³(ii) a And 6³+7³＝6³+343＜6³+513＝6³+3×6²×3+3×6×3²+3³＝(6+3)³＝9³I.e. 8³＜6³+7³＜9³。

When n is 4, because 10⁴-8⁴＝5904，11⁴-8⁴10545 and 5904 < 9⁴< 10545, so 8⁴+9⁴＝8⁴+6561＞8⁴+5904＝8⁴+4×8³×2+6×8²×2²+4×8×2³+2⁴＝(8+2)⁴＝10⁴And 8 is⁴+9⁴＝8⁴+6561＜8⁴+10545＝8⁴+4×8³×3+6×8²×3²+4×8×3³+3⁴＝(8+3)⁴＝11⁴I.e. 10⁴＜8⁴+9⁴＜1¹⁴。

When n is 5, because 12⁵-10⁵＝148832，13⁵-10⁵271293 and 148832 < 11⁵< 271293, therefore 10⁵+11⁵＝10⁵+161051＞10⁵+148832＝12⁵And 10 is⁵+11⁵＝10⁵+161051＜10⁵+271293＝13⁵I.e. 12⁵＜10⁵+11⁵＜13⁵。

When n is 6, because 14⁶-12⁵＝4543552，15⁶-12⁶8404641 and 4543552 < 13⁶< 8404641, therefore 12⁶+13⁶＝12⁶+4826809＞12⁶+4543552＝14⁶And 12 is⁶+13⁶＝12⁶+4826809＜12⁶+840 4641＝15⁶I.e. 14⁶＜12⁶+13⁶＜15⁶。

When n is 7, because 16⁷-14⁷＝163021952，17⁷-14⁷304925169 and 163021952 < 15⁷< 304925169, therefore 14⁷+15⁷＝14⁷+170859375＞14⁷+163021952＝16⁷And 14 is⁷+15⁷＝14⁷+170859375＜14⁷+30492 5169＝17⁷I.e. 16⁷＜14⁷+15⁷＜17⁷。

When n is 8, because 17⁸-15⁸4412866816, and 16⁸< 4412866816, obviously 16⁸＜15⁸+16⁸＝15⁸+4294 967296＜15⁸+4412866816＝17⁸I.e. 16⁸＜15⁸+16⁸＜17⁸。

When n is 9, because 17⁹-15⁹＝80144417122，16⁹< 80144417122, obviously 16⁹＜15⁹+16⁹＝15⁹+68719 476736＜15⁹+80144417122＝15⁹+9×15⁸×2+36×15⁷×2²+84×15⁶×2³+126×15⁵×2⁴+126×15⁴×2⁵+84×15³×2⁶+36×15²×2⁷+9×15×2⁸+2⁹＝(15+2)⁹＝17⁹I.e. 16⁹＜15⁹+16⁹＜17⁹。

……………………………………………………………………………………。

It can be seen that the above proof can be written endlessly and never, and for the junior and middle school students to learn the multiplication formula in the polynomial, the high school students apply the binomial theorem, the middle school students apply the Yangmai triangle, and the Fermat theorem is known, so that some mathematical interests are obtained, and the method is beneficial to further understanding the Fermat theorem in the scientific popularization activities and the exploration learning activities of mathematics.

In addition to the above proving method, a 'Fei-Ma-Dai theorem demonstration model' is made by self, and more interesting conclusions can be directly obtained by doing some mathematical experiments.

The Fermat theorem space model: the method comprises the steps of applying a Firmax theorem demonstration model, and constructing a Firmax theorem space model for demonstrating a Firmax inequality by taking a positive integer x as a horizontal coordinate, a positive integer y as a vertical coordinate and a positive integer n larger than 2 as a vertical coordinate above a rectangular coil made of a golden yellow insulated wire.

The mathematical expression of the fisherman theorem space model is as follows:

wherein, x ∈ N, y ∈ N, N ∈ N, N is not less than 3.

Where x is 3, y is 4, and when n is 3, 4, 5, 6, 7, 8, 9, … …, the power of 3 and 4 to the power of n is 3³+4³，3⁴+4⁴，3⁵+4⁵，3⁶+4⁶，3⁷+4⁷，3⁸+4⁸，3⁹+4⁹Neither … … is equal to the power of any positive integer, and if the positive integer n is extended such that n is 2, 1, 0, -1, -2, … …, the conclusion is not necessarily true, since there is 3²+4²＝5²，3¹+4¹＝7¹，3⁰+4⁰≠5⁰，4^-1+12^-1＝3^-1… …, the power-of-the-same-power sum of any two positive integers when the integer n < 3 does not necessarily equal the power-of-the-same-power of one positive integer.

Directly judging the power sum of the power n and the power x by applying a Firman theorem demonstration modelⁿ+yⁿThe theory of fermat must be true, without proof, in the following 4 aspects: 1. below the diagonal line, this holds: determined by the fact that it is above the diagonal, the range is proved to be reduced by half, since xⁿ+yⁿ＝yⁿ+xⁿJudging the upper and lower two proofings of the diagonal line to be equivalent by an addition-exchange law; 2. on the diagonal line, it must be true: because of xⁿ+yⁿ＝xⁿ+xⁿ＝yⁿ+yⁿAssume 2xⁿ＝zⁿThe arithmetic root is taken by opening the power of n on both sides to obtain

The left side of the equation is a positive integer, the right side is an irrational number, contradiction exists, the assumption is not true, and the condition is true on a diagonal line; 3. line 1 must hold: because of yⁿ＜xⁿ+yⁿ＜(y+1)ⁿTherefore, line 1 holds; 4. the yellowing must be true: on the diagonal line and below row 1, with the yellow-colored n-th power sum formula xⁿ+yⁿCorresponding Verma inequality yⁿ＜xⁿ+yⁿ＜(y+1)ⁿAnd the value of the delta y is always small and limited, the number of the rectangular squares colored with blue and white is reduced to zero along with the increase of the number of the square power n, and the square power n is completely covered by yellow to be directly judged.

Therefore, the demonstration model of the Verma theorem is a mathematical model which shows the Verma theorem is relatively intuitive.

Claims (7)

1. A large theory demonstration model of a Verma relates to the field of mathematics teaching in primary and middle schools and the field of scientific research, and consists of a rectangular grid bottom plate (1), a universal integrated circuit board (2), a positive integer n-order power and formula plate (3), a touch screen switch cover plate (4), a cubic display plate (5), a quartic display plate (6), a quintic display plate (7), a sextic display plate (8), a seven-order display plate (9), an eight-order display plate (10), a nine-order display plate (11), an n-order universal display plate (12), an n-order variable four-color display plate (13) and a base (14), wherein the cubic display plate (5), the quartic display plate (6), the quintic display plate (7), the sextic display plate (8), the seven; sequentially inserting 1 rectangular grid bottom plate (1), a universal integrated circuit board (2), a positive integer n-order idempotent type board (3), a touch screen switch cover plate (4), a three-order display board (5), a four-order display board (6), a five-order display board (7), a six-order display board (8), a seven-order display board (9), an eight-order display board (10), a nine-order display board (11), an n-order universal display board (12) and an n-order variable four-color display board (13) into opposite concave grooves on the inner sides of front and rear vertical wall boards in a base (14) from bottom to top horizontally to manufacture a Fermat theorem demonstration model; the display panel which uses the Firmax theorem to demonstrate different times of the model overlooks the powers of all sides above the diagonal line in the rectangle below the upper surface and the different colors of the rectangle square where the formula is located or closes the switch k of the integrated circuit to make the electric lamp emit different color lights, displays the Firmax inequality, and demonstrates the Firmax theorem, wherein the positive integer n is more than or equal to 3;

the above-mentioned Verma theorem refers to a positive integer greater than 2 powers, not equal to the sum of the powers of the same power of any two positive integers, i.e.: if x, y, z and n are all positive integers and n is more than or equal to 3, then xⁿ+yⁿ≠zⁿ；

The aforementioned fermat inequality refers to the sum of powers of two positive integers greater than 2, always being uniquely sandwiched between powers of two positive integers of the adjacent power, namely: if x, y, z, n are all positive integers and n is greater than or equal to 3, then there is a unique positive integer m, such that mⁿ＜xⁿ+yⁿ＜(m+1)ⁿI.e. xⁿ+yⁿ≠zⁿ；

The positive integer greater than 2 is the power x³，x⁴，x⁵，x⁶，……，y³，y⁴，y⁵，y⁶，……，z³，z⁴，z⁵，z⁶，……，m³，m⁴，m⁵，m⁶… …, wherein x, y, z, m are all positive integers;

the positive integer power of n and the formula refer to the addition formula x of the power of the same power that any two positive integers are more than 2ⁿ+yⁿThe result of calculation after assigning values to x, y and n is called the n power sum of the positive integer x and y, wherein x, y and n are all positive integers, n is more than or equal to 3, the addition formula of the power of;

the above-mentioned parameter method of Verma inequality is that it utilizes positive integer n-th power sum formula plate(3) Or using n-times variable four-color display board (13) to determine the Fermat inequality (y + delta y)ⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿThe parameter Δ y in (1) is such that the Verma inequality mⁿ＜xⁿ+yⁿ＜(m+1)ⁿA medium positive integer m is y + Δ y; step 1, calculating parameters Δ y: in the positive integer n-power sum-of-square board (3), the n-power sum-of-square x in the 1 st rectangular square on the left of each line from the 1 st line to the 17 th line above the diagonal lineⁿ+yⁿTranslating to the center position of the common edge of two adjacent rectangular squares rightwards, looking up two adjacent nth powers y around the straight line of the common edge in the 0 th row₁ ⁿAnd y₂ ⁿIf left eye is y₁ ⁿLarge and right viewing ratio y₂ ⁿSmall, then obtain y₁ ⁿ＜xⁿ+yⁿ＜y₂ ⁿOr in an n-time changing type four-color display panel (13), the switch k in the rectangular grid of the integrated circuit is closed to emit the square power sum x of green light display from the electric lamp L in the rectangular gridⁿ+yⁿDisposed above row 0 is powered by lamp L₂Blue light emitting display square power yⁿOn the right side of the rectangular grid, between two adjacent powers of the same power, the left view determines xⁿ+yⁿ＞y₁ ⁿAnd looking right at determines xⁿ+yⁿ＜y₂ ⁿComposed of (y + Δ y)ⁿ＝y₁ ⁿAnd calculating Δ y ═ y₁-y, yielding Δ y; step 2, marking parameters Δ y: and (3) calculating 1 column of natural numbers' delta y consisting of the power in the 1 st rectangular grid on the left of each line from the 1 st line to the 17 th line and delta y corresponding to the formula from the step 1 above the diagonal: Δ y₁，Δy₂，Δy₃，Δy₄，Δy₅，Δy₆，Δy₇，Δy₈，Δy₉，Δy₁₀，Δy₁₁，Δy₁₂，Δy₁₃，Δy₁₄，Δy₁₅，Δy₁₆… …' printed outside the right wide edge line of the positive integer n-th power sum formula plate (3); step 3, application parameters Δ y: in the diagonal upper 2 nd to 17 th rows, each row is the 1 st rectangle square from the leftThe grid is moved to the right, the values of the delta y corresponding to the grid are calculated one by utilizing the powers of all the parties and the translation to the right, the operation is stopped until the value of the 1 st delta y is equal to 0, the values of the calculated parameters delta y of each row are divided into a natural number 0, a positive odd number and a positive even number 3, and yellow, white and blue are respectively painted in the rectangular grid corresponding to the natural number 0, the positive odd number and the positive even number 3; if the maximum value of the delta y is an even number which is more than 2, the value of the delta y determined by each rectangular grid in the corresponding row is changed from large to small to a natural number of 0, the delta y is colored at intervals according to three types of 0, positive even number and positive odd number, the color of each rectangular grid from left to right forms the image of 'blue white, … … blue white and yellow', and then, the rectangular grids are colored yellow from right to left; if the maximum value of the delta y is an odd number which is larger than 2, the value of the delta y determined by each rectangular grid corresponding to the delta y is changed from big to small to a natural number of 0, the delta y is colored at intervals according to three types of 0, positive odd numbers and positive even numbers, the color of each rectangular grid from left to right forms the image of 'white blue, … … white blue, white yellow', and then, the color of each rectangular grid towards right is yellow; the number of the white-colored rectangular grids and the number of the blue-colored rectangular grids are not necessarily equal, more or less, at least 1, and all the rectangular grids from the 1 st yellow-colored rectangular grid to the right in each row are yellow; step 4, judging the Fermat inequality (y + delta y) according to the parameter delta yⁿ＜xⁿ+yⁿ＜(y+Δy+1)ⁿ: when Δ y is 0, the sum of all yellow-colored rectangular squares raised to the power of xⁿ+yⁿThe corresponding Verma inequality is yⁿ＜xⁿ+yⁿ＜(y+1)ⁿ(ii) a When Δ y is 1, the power sum of squares x in the rectangular grid adjacent to one or several of all white-colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +1)ⁿ＜xⁿ+yⁿ＜(y+2)ⁿ(ii) a When Δ y is 2, the power sum of squares x in the rectangular grid adjacent to one or several of all blue colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +2)ⁿ＜xⁿ+yⁿ＜(y+3)ⁿ(ii) a When Δ y is 3, the power sum of squares x in the rectangular grid adjacent to one or several of all white-colored squaresⁿ+yⁿThe corresponding Fei Er Ma inequality is (y +3)ⁿ＜xⁿ+yⁿ＜(y+4)ⁿ；……；

The combined assembly display board method is characterized in that when positive integer n is 3, 4, 5, 6, 7, 8 and 9, the structural characteristics of the positive integer n-power sum board (3) are applied, and the structural characteristics of the positive integer n-power sum board (3) are calculated to manufacture a positive integer cubic power sum board (one), a positive integer quadratic power sum board (two), a positive integer quintic power sum board (three), a positive integer sextic power sum board (four), a positive integer heptatic power sum board (five), a positive integer octatic power sum board (six), a positive integer nonatic power sum board (seven) and a positive integer n-power variable power sum board (eight), a rectangular grid bottom board (1), a universal integrated circuit board (2), a positive integer n-power sum board (3), a positive integer cubic power sum board (one), a positive integer quadra sum board (two), a positive integer quintic sum board (three), a positive integer and a positive integer quintic sum board (three) are sequentially taken, One of a positive integer power sum of six board (IV), a positive integer power sum of seven board (V), a positive integer power sum of eight board (VI), a positive integer power sum of nine board (VII), a positive integer power sum of n board (VIII) and a touch screen switch cover board (4) are respectively 1, sequentially overlapping, combining and positioning from bottom to top according to the sequence of a rectangular square bottom plate (1), a universal integrated circuit board (2), a positive integer idempotent sum type plate and a touch screen switch cover plate (4), respectively penetrating through positioning small holes at the inner sides of four corners of the touch screen switch cover plate (4), the positive integer idempotent sum type plate, the universal integrated circuit board (2) and the rectangular square bottom plate (1) from top to bottom by 4 rivets with caps, hammering the lower end of each rivet into a 2 nd rivet cap by a rivet hammer, and 5, riveting 4 overlapped cuboid plates together with the original 1 st rivet cap of the rivet to manufacture display plates with different times.

2. The demonstration model of the Filmmar theorem according to claim 1, characterized in that: the rectangular grid bottom plate (1) is a rectangular plate manufactured by processing a transparent rectangular organic glass plate, the rectangular plate is vertically placed relative to a horizontal desktop, 18 rows and 18 lines of rectangular grids are printed on the upper surface of the rectangular plate in the forward direction to form a rectangle with a longer side larger than a wider side, the longer side of each rectangular grid in the rectangle is larger than the wider side, 1 lower-case Latin letter 'i' is printed on the outer side of the left upper corner in the forward direction and used for representing a natural number sequence comprising a natural number 0, a plurality of rows and a plurality of rows of rectangular grids in the rectangle are conveniently sequenced and positioned, 1 row of forward natural number sequence 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … … is printed on the outer side of the upper long edge line from left to right and from small to large relative to the middle position of the longer side of each rectangular grid, 1 row of forward natural number sequence 0 is printed on the outer side of the left wide edge line from small to large, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, … …, a wide edge line going left upward and 1 line segment going upward in the upper left side of the rectangular grid defined by the 0 th column in the 0 th row, and a long edge line going upward, the rectangular grid being divided into a quadrangle in the middle, both sides being 3 parts of a right triangle, a diagonal line being printed from the upper left corner of the rectangular grid defined by the 2 nd column in the upper left 2 nd row to the lower right corner of the rectangular grid defined by the 17 th column in the 17 th row in the lower right, the rectangles formed by all the rectangular grids from the 1 st column to the 17 th column in the 1 st row to the 17 th row being divided into upper and lower parts like a right triangle, 1 square being printed on each of the left and right sides outside the long edge line of the upper side, the sides of the square each being opposed to the two wide edge lines outside the 0 th column and the 17 th column, and respectively drilling 1 cylindrical positioning small holes with the same distance to the high edge and the diameter of R on the outer side of the 4 edge lines of the rectangle by taking one point on the bisector of 4 angles as the center to manufacture the rectangular grid bottom plate (1).

3. The demonstration model of the Filmmar theorem according to claim 1, characterized in that: general integrated circuit board (2), be the cuboid shaped plate of the organic glass board processing preparation of chooseing for use transparent cuboid form insulating material, the length of general integrated circuit board (2) equals the length of rectangle square bottom plate (1), the width of general integrated circuit board (2) equals the width of rectangle square bottom plate (1), the thickness of general integrated circuit board (2) is greater than the length of electric light, general integrated circuit board (2) are just standing for horizontal desktop and are put, reverse printing of lower surface has the looks of the upper surface forward printing with rectangle square bottom plate (1)The same rectangular grid, geometric figure and character information, 4 cylindrical positioning holes with the diameter of R are drilled at corresponding positions on the inner sides of four corners corresponding to the positions of the 4 cylindrical positioning holes on the bottom plate (1) of the rectangular grid, the character information is viewed from top to bottom to be in the positive direction, and the electric lamp L arranged in 1 rectangular grid with the upper left corner determined by the 0 th column in the 0 th row is L₀A power indicator light emitting red light during operation, an electric light L₀The positive pole marked with a plus sign is connected with the positive pole terminal a of the power supply in the square through the terminal b by a lead, and the electric lamp L₀The negative pole marked with a "-" sign is directly connected with a power supply negative pole binding post f in the square grid by a lead, the power supply marked with a "+" - "two poles of the binding posts a and f in the square grid is positioned at the middle part of the thickness of the universal integrated circuit board (2), two cylindrical jacks are drilled on the outer side surface perpendicular to the long edges and the high edges, the diameter of each cylindrical jack is equal to that of a cylindrical metal contact of a power supply line plug, and 1 electric lamp L is arranged in each square grid from the 1 st row to the 17 th row in the 0 th row₁In the lines 1 to 17, a circuit formed by connecting 1 electric lamp L and 1 switch K in series is arranged in each of the rectangular grids 1 to 17, the middle part of the handle of the switch K is coated with a layer of magnetized substance, wherein the negative pole of the electric lamp L is connected with a binding post on the switch K without the handle through a conducting wire, and the electric lamp L is arranged in each of the rectangular grids 1 to 17 in the line 0₁Each electric lamp L emitting purple light when in operation₁The positive pole marked with a plus sign is connected with the terminal b in the rectangular grid by a lead, the terminal b in the 0 th row to the 17 th row in the 0 th column is communicated with the terminal g outside the long edge line below the rectangle by the installed 1 red insulated lead, so as to be convenient to continue to extend downwards, and the electric lamp L installed in each rectangular grid from the 1 st row to the 17 th row in the 0 th column₁The negative pole marked with a minus sign is connected on the binding post c in the rectangular grid by a lead, and then is close to the lower part and to the right, 1 blue insulated lead is respectively arranged on the 1 st row to the 17 th row and extends to the binding post c outside the right wide edge line of the rectangle, so as to be convenient for extending to the right, and the electric lamp L arranged in the rectangular grid of the 1 st row to the 17 th row in the 0 th row₂In operation, emits blue light, the electric lamp L₂The negative pole marked with a minus sign is communicated with the binding post e in the rectangular grid by a lead, 1 blue insulated lead is arranged on the inner side of the long edge line above the rectangle from the power supply negative pole binding post f of the 0 th row in the 0 th line to the right and is communicated with the binding post e in each grid, and extends to the binding post h on the outer side of the right wide edge line, so as to be convenient for continuing to extend to the right, and each electric lamp L₂The positive poles marked with "+" signs are connected with the terminals d by the conducting wires and then respectively downwards, 1 red insulated conducting wire is respectively arranged from the line 1 to the line 17 and then connected with the terminals d in the rectangular grids and extends to the terminals d outside the long edge line below the rectangle, so as to be continuously extended downwards, the electric lamps L arranged in the rectangular grids from the line 1 to the line 17 in the line 1 emit green light when working, the positive poles marked with "+" signs on the electric lamps L are connected with the terminals c on the red insulated conducting wires in the rectangular grids by the conducting wires, the terminals with handles on the switches K are connected with the terminals d on the blue insulated conducting wires in the rectangular grids by the conducting wires, and the electric lamps L determined by different rows are manufactured₁Lamp L, switch K and lamp L₂The integrated circuits are connected in parallel to the two terminals a and e after being connected in series and then are communicated with the terminals a and f at the two poles of the power supply, and when the integrated circuits are used, the power supply is connected, and the power supply indicator L₀Emitting red light to form a working circuit, wherein the wiring terminal of the handle end on the switch is a negative electrode, the wiring terminal of the non-handle is a positive electrode, any switch k is closed every time, only 1 switch k is closed every time, and the power and the formula x of the rectangular grid where the switch k is located are displayedⁿ+yⁿPurple light emitting electric lamp L from column 0₁Square power x determined by square gridⁿAnd the blue light-emitting electric lamp L of line 0₂Square power y determined by square gridⁿAdditively formed, and shows blue light emitting lamp L from line 1₂Several powers and power sums x in right square squaresⁿ+yⁿAfter the sizes are compared, the Fisher-horse inequality m is determinedⁿ＜xⁿ+yⁿ＜(m+1)ⁿAnd manufacturing the universal integrated circuit board (2).

4. The Filmmar theorem demonstration model according to claim 1,the method is characterized in that: the positive integer n-order idempotent plate (3) is a cuboid plate manufactured by processing a transparent cuboid organic glass plate, the length and the width of the rectangular grid bottom plate (1) are respectively equal to those of the rectangular grid bottom plate (1), the positions corresponding to the cylindrical positioning holes near the four corners of the rectangular grid bottom plate (1) are respectively drilled with a cylindrical positioning hole with the diameter of R, the upper surface is printed in the forward direction, the lower surface is printed in the reverse direction with the same rectangular grids, geometric figures and character information printed in the forward direction with the upper surface of the rectangular grid bottom plate (1), cylindrical small holes are drilled at positions corresponding to the middle parts of handles of the switches K in the 1 st column to the 17 th column of the 1 st row to the 17 th column of the universal integrated circuit board (2) respectively, and the cylindrical metal contacts at corresponding positions on the lower surface of the touch screen switch cover plate (4) can be vertically inserted; vertically arranged, and on the lower surface, the 0 th column of definite squares in the 0 th row are reversely printed with x in the 1 st part in the clockwise directionⁿPart 2 is reverse printed with xⁿ+yⁿPart 3 is reverse printed with yⁿ(ii) a In each of the 1 st to 17 th rectangular squares in the 0 th row, 1 row of powers is printed in reverse: 1ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, column 0 having 1 column of squares 1 printed in reverse in each of the rectangular squares in lines 1 to 17ⁿ，2ⁿ，3ⁿ，4ⁿ，5ⁿ，6ⁿ，7ⁿ，8ⁿ，9ⁿ，10ⁿ，11ⁿ，12ⁿ，13ⁿ，14ⁿ，15ⁿ，16ⁿ… …, in a pattern x printed in each of rectangular blocks from the 1 st row to the 16 th row in the 1 st row to the 17 th row, which is viewed in a forward direction from the top surface to the bottom surface in plan viewⁿ+yⁿForm of the power of n sum of the powers, the 1 st addend x preceding the plus sign "+"ⁿIs the square power x of the rectangular grid in which the row of the rectangular grid is located in the 0 th columnⁿThe 2 nd addend y after the plus sign "+"ⁿIs the row of the rectangular gridThe power y within the rectangular grid of row 0ⁿ(ii) a In the power sum formula of each row 1, the power of the 1 st addend of each power sum formula is the same, in the power sum formula of each column 1, the power of the 2 nd addend of each power sum formula is the same, the power of the 0 th column is translated to the right to each column to obtain the 1 st addend of each column of rectangular grid power sum formula, and the power of the 0 th row is translated to each row downwards to obtain the 2 nd addend of each row of rectangular grid power sum formula; an ellipsis '… …' formed by 6 small black dots in a row is printed in each rectangular grid in the 17 th row and the 17 th column; in the upper surface, all rectangular squares in which the 1 st column to the 17 th column diagonal lines in the 1 st row to the 17 th row are red, all rectangular squares in the 2 nd column to the 17 th column in the 1 st row above the upper surface diagonal lines are green, in the 2 nd row to the 17 th row above the diagonal lines, according to a Verma inequality parameter method, determining delta y in each rectangular square, and respectively coloring yellow, white and blue, thereby manufacturing a positive integer nth power sum formula plate (3); using computer to program and calculate or directly replace the index n, according to the positive integer n power and formula board (3), when n is 3, 4, 5, 6, 7, 8, 9, respectively making into positive integer three power and formula board (one), positive integer four power and formula board (two), positive integer five power and formula board (three), positive integer six power and formula board (four), positive integer seven power and formula board (five), positive integer eight power and formula board (six), positive integer nine power and formula board (seven), when the positive integer n is more than or equal to 10, the positive integer n power and formula board (3) is characterized in that the upper diagonal line is yellow in each row from the 2 nd column to the 17 th column below the 1 st row, the positive integer n power and formula board printed in the 0 th column is translated to the right as the plus sign of the power and formula in the 1 st to 17 th columns, the printing is shifted downward in the positive integer square in line 0, and as the 2 nd addition number following the plus sign "+" of the square and the formula in each rectangular grid from line 1 to line 17, a Verma inequality parameter method is applied to produce a positive integer n-th variable square and formula board (eight), thereby producing a plurality of different squares and formula boards, all in the form of a positive integer n-th square and formula board (3).

5. The demonstration model of the Filmmar theorem according to claim 1, characterized in that: the touch screen switch cover plate (4) is a cuboid-shaped plate manufactured by selecting a transparent plastic plate with toughness and elasticity characteristics, the length and the width of the cuboid-shaped plate are respectively equal to the length and the width of the rectangular grid base plate (1), the position of the cylindrical positioning small hole corresponding to the inner sides of four corners of the rectangular grid base plate (1) is drilled with 1 cylindrical positioning small hole with the diameter of R, the cuboid-shaped plate is vertically placed relative to a horizontal desktop, the lower surface of the cuboid-shaped plate is printed with rectangular grids, geometric figures and character information which are the same as the upper surface of the rectangular grid base plate (1) in a reverse direction from top to bottom, the rectangular grids, the geometric figures and the character information are all in a forward direction, the rectangular grids correspond to the middle positions of handles of the switches K in the 1 st row to the 17 th row of the universal integrated circuit board (2), and 1 cylindrical metal contact with magnetism is drilled upwards in each rectangular grid on the lower surface of the touch screen switch, the length of each cylindrical metal contact exposed downwards from the lower surface is larger than the thickness of the positive integer n-power sum-of-power board (3), the position of the cylindrical metal contact is touched and pressed by a finger on the upper surface, the downward acting force of the cylindrical metal contact is applied to a handle of a switch K of the universal integrated circuit board (2), the switch K can be closed, the position of the cylindrical metal contact is touched and pressed again, the cylindrical metal contact is separated from the handle of the switch K, the original state is recovered under the elastic action of a plastic board, and meanwhile, the switch K is disconnected due to the attraction of the magnetic force of the cylindrical metal contact to the handle of the switch K, so that the touch screen switch cover board (4) is manufactured.

6. The demonstration model of the Filmmar theorem according to claim 1, characterized in that: the cubic display board (5) is manufactured by applying a combined display board mounting method, randomly selecting 1 of a rectangular grid bottom board (1), a universal integrated circuit board (2), a positive integer power of three and sum board (I) and a touch screen switch cover board (4), sequentially and vertically overlapping from bottom to top, and combining and mounting the square bottom board, the universal integrated circuit board and the positive integer power of three and sum board to form the cubic display board (5); a positive integer power of four and formula board (two) is arranged at the position of the positive integer power of three and formula board (one) in the three display board (5), and is assembled and installed to form a four display board (6); or repeatedly assembling and manufacturing the cubic display board (5), namely, respectively taking 1 of each of a positive integer power sum of squares board (two), a positive integer power sum of squares board (three), a positive integer power sum of squares board (four), a positive integer power sum of seven boards (five), a positive integer power sum of eight boards (six) and a positive integer power sum of nine boards (seven), and respectively taking a rectangular grid bottom board (1) and a universal integrated circuit board (2)

And 1 touch screen switch cover plate (4) respectively, and a rectangular grid bottom plate (1), a universal integrated circuit board (2), a positive integer power sum type plate and a touch screen switch cover plate (4) are vertically combined in sequence from bottom to top on a horizontal desktop to respectively manufacture a four-time display plate (6), a five-time display plate (7), a six-time display plate (8), a seven-time display plate (9), an eight-time display plate (10) and a nine-time display plate (11); the display panel is manufactured by applying 1 piece of positive integer n-degree power and formula board (3) and 1 piece of positive integer n-degree variable power and formula board (eight) respectively, and combining the positive integer n-degree power and formula board (3) and the positive integer n-degree variable power and formula board (eight) with 1 piece of rectangular grid bottom board (1), universal integrated circuit board (2) and 1 piece of positive integer power and formula board and touch screen switch cover board (4) respectively in sequence of vertically placing the rectangular grid bottom board (1), the universal integrated circuit board (2), the positive integer power and formula board and the touch screen switch cover board (4) from bottom to top respectively to manufacture n-degree universal display panel (12) and n-degree variable four-color display panel (13), thereby manufacturing the display panel with different times basically similar.

7. The demonstration model of the Filmmar theorem according to claim 1, characterized in that: the base (14) is a U-shaped layered support with a power line jack, which is manufactured by selecting 1 rectangular metal plate as a horizontal bottom plate and 2 transparent rectangular organic glass plates as vertical wallboards, wherein the length of the bottom plate and the length of the wallboards are equal to the length of the rectangular grid bottom plate (1), the two rectangular wallboards are vertically arranged on the upper surfaces of the front side and the rear side of the horizontally vertical bottom plate, the two outer sides of the two wallboards and the two outer sides determined by the long edge and the high edge of the bottom plate are respectively in the same plane, the positions of the wallboards and the bottom plate are fixed by using a colloid adhesive bonding gap, and then, from the lower surface of the bottom plate, upwards, 2 threaded holes with the same depth are drilled in the middle part opposite to the thickness of the two wallboards respectively, and are screwed and reinforced by using screws with caps to manufacture the base frame of the; the front and the back square wall boards are determined by the length and the heightThe width between the inner side surfaces is smaller than the width of the tertiary display panel (5), the width between the two outer side surfaces of the front and rear wall panels determined by the length and the height is larger than the width of the tertiary display panel (5), a plurality of concave grooves are dug from the opposite positions of the inner side surfaces of the front and rear wall panels to the middle part of the wall panels from bottom to top, the height of each concave groove is equal to the thickness of the tertiary display panel (5), and the width between the two bottom surfaces of the two concave grooves opposite to each other at the same height position is equal to the width of the tertiary display panel (5); the outer side of the wall board erected in front is printed with 3 lines of character information with different colors, the 1 st line is 10 red Chinese characters of a ' Fermat ' theorem demonstration model, and the 2 nd line is a mathematical formula ' x ' representing the conclusion of the Fermat ' theoremⁿ+yⁿ≠zⁿThe transparent rectangular organic glass plate is arranged on the left side of the bottom plate, the height of the organic glass plate is equal to the sum of the thickness of the bottom plate of the base and the height of 1 wall plate, the length of the organic glass plate is equal to the width between the outer sides of two vertical wall plates on the front side and the rear side, the organic glass plate on the left side is adhered and fixed with a gap between the contact surfaces of the wall plates and the bottom plate by using a colloid adhesive, 1 rectangular coil made of golden yellow insulating metal wires is arranged between a 4 th concave groove and a 5 th concave groove on the left side and the right side of the two wall plates on the front side and the rear side from top to bottom, and 1 row of integer-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, … … is printed on the right side of the front wall plate from bottom to top of the opening of each concave groove and is used for indicating the position of the display plate for N times to manufacture the base (14).

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