JP5919699B2 - Mathematical expression display device and program - Google Patents

Description

  The present invention relates to a mathematical expression display device and a program.

  Conventionally, in a mathematical expression display device such as an electronic calculator, when a mathematical expression including a plurality of parentheses is input, a corresponding open parenthesis and closed parenthesis can be displayed in the same color for each number of stages (for example, Patent Documents). 1).

Japanese Patent No. 3837759

  However, in the technique described in Patent Document 1, the same color is attached to the corresponding open parenthesis and the close parenthesis, so the correspondence between the parentheses becomes clear, but the color attached to the parentheses when the number of parenthesis stages changes due to the expression transformation Changes, it becomes difficult to understand the correspondence between the mathematical expression parts before and after the expression modification.

  The subject of this invention is providing the numerical formula display apparatus and program which can carry out identification display of the equivalent numerical formula part in a calculation formula in an easy-to-understand manner.

In order to solve the above problems, the invention according to claim 1 is a mathematical expression display device,
A display unit;
A calculation formula display control means for Ru display the calculation formula on the display unit,
Formula part variable storage means for storing the formula part and the variable in association with each other when the calculation formula is a substitution formula for the variable and formula part;
Formula part detection means for detecting a formula part including a part enclosed in parentheses from the formula,
Formula part storage means for storing the formula part detected by the formula part detection means;
Wherein among the formulas, and it remembers been mathematical expression part into the equation partial storage means and each formula moiety by replacing part of the mathematical expression part in the variable of the substituent formula, formulas partial identification to be displayed in the same display form Display control means;
It is characterized by providing.

  According to the present invention, it is possible to easily identify and display an equivalent mathematical part in a calculation formula.

It is a top view which shows schematic structure of a scientific calculator. It is a block diagram which shows the function structure of a scientific calculator. It is a figure which shows an example of the memory content by a numerical formula partial storage area. It is a flowchart which shows the flow of a numerical formula display process. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display.

  Hereinafter, an example of an embodiment according to the present invention will be described in detail with reference to the accompanying drawings. However, the scope of the invention is not limited to the illustrated examples.

[1.1 External configuration]
FIG. 1 is a plan view showing a schematic configuration of a scientific calculator 1 to which an electronic apparatus according to the present invention is applied.
As shown in the figure, the scientific calculator 1 includes an input key group 2 having various key groups and a display 3.

  The input key group 2 is a key group for receiving an input operation of a mathematical expression component such as a numerical value or an arithmetic symbol from a user or an instruction operation of various processes, and a plurality of keys each assigned a unique function. Has a key. In the present embodiment, the input key group 2 includes a numeric keypad 20, an operation symbol key 21, a cursor key 22, an EXE key 23, a DEL key 24, and the like.

  Among these, the numeric keypad 20 is a key for receiving a numerical input operation, and the operation symbol key 21 is a key for receiving an input operation such as an arithmetic operation operator or parentheses.

  The cursor key 22 is a key that is pressed when the cursor indicating the editing target position or the selection target position is moved in a predetermined direction in the display 3. It is configured to be possible.

  The EXE key 23 is a key that receives an input operation of a process execution instruction or a determination instruction. For example, after the mathematical expression is input, the EXE key 23 functions as a key that instructs the execution of the arithmetic process. The DEL key 24 is a key for receiving a deletion operation such as a numerical value or a calculation symbol displayed on the display 3.

  The display 3 is composed of an LCD (Liquid Crystal Display), an ELD (Electronic Luminescent Display), etc. In addition to characters, symbols, mathematical formulas, calculation results, etc. according to the operation of the input key group 2, the scientific calculator 1 is provided. Various data necessary for use is displayed. Note that the display 3 in the present embodiment is integrally provided with a touch panel 30 over the entire display screen.

[1.2 Functional configuration]
Next, the functional configuration of the scientific calculator 1 will be described.
FIG. 2 is a block diagram illustrating a schematic functional configuration of the scientific calculator 1.

  As shown in the figure, the scientific calculator 1 includes an input unit 14, a display unit 15, a recording medium reading unit 17, a memory 12, and a CPU (Central Processing Unit) 11.

  The input unit 14 includes the input key group 2 and the touch panel 30 described above, and outputs an operation signal corresponding to the pressed key or the position of the touch panel 30 to the CPU 11.

  The display unit 15 includes the display 3 described above, and displays various types of information on the display 3 in accordance with display signals from the CPU 11.

  The recording medium reading unit 17 reads information from an external information storage medium 17A such as a USB memory that is detachably mounted.

  The memory 12 stores various programs and various data. Specifically, the memory 12 stores a mathematical expression display processing program 122 as a program according to the present invention. The memory 12 also has a plurality of work areas for storing various programs to be executed and data related to these various programs. For example, the memory 12 in the present embodiment has a mathematical expression partial storage area 120, an input data storage area 121, and the like as work areas.

  The mathematical expression display processing program 122 is a program for causing the CPU 11 to execute mathematical expression display processing (see FIG. 4) described later.

  As shown in FIG. 3, the formula partial storage area 120 stores a plurality of types of display forms as display forms of identification display in a formula display process (see FIG. 4) described later, and is input in this formula display process. In the calculation formula, each mathematical formula portion to be identified and displayed is stored in association with the display form. Further, in the case of storing a mathematical expression part connected with an equal sign to a variable, the mathematical expression part storage area 120 stores the variable (replacement variable) in association with the display form corresponding to the mathematical expression part. It has become. Here, in the present embodiment, as the display form of the identification display, a plurality of types of colors (display colors of the characters constituting the mathematical expression part to be the object of identification display) and underline (the mathematical expression to be the object of the identification display) The underline attached to the part is used. Each mathematical formula portion to be identified and displayed is displayed in a corresponding display form (color, underline).

  The input data storage area 121 stores calculation formula data input by the user.

  The CPU 11 centrally controls each part of the scientific calculator 1. Specifically, the CPU 11 develops a program designated from the system program and various application programs stored in the memory 12 in the work area, and performs various processes in cooperation with the program developed in the work area. Execute.

[1.3 Operation of scientific calculator]
Next, the operation of the scientific calculator 1 will be described.

  FIG. 4 is a flowchart for explaining the operation of the mathematical expression display process. In addition, in this mathematical expression display process, when an instruction to execute the mathematical expression display process is input by the user via the input unit 14, the mathematical expression display processing program 122 is read from the memory 12 and appropriately expanded in the work area in the memory 12. As a result, the mathematical expression display processing program 122 and the CPU 11 are executed in cooperation.

  As shown in this figure, in the formula display process, first, the CPU 11 resets the formula portion of the formula portion storage area 120 (step S1) and detects the input of the calculation formula in the first row by the user operation (step S2). ). Here, in the present embodiment, as a calculation formula, an input formula input by a user operation or a modified formula input by a user operation by modifying the input formula is used. Each calculation formula may include parentheses or a function.

  Next, the CPU 11 displays a calculation formula corresponding to the input operation on the display 3 (step S3).

  Next, the CPU 11 determines whether or not a mathematical expression part connected to the variable with an equal sign is included in the input calculation formula (step S4), and the mathematical expression part connected to the variable with an equal sign is determined. If it is determined that it is not included (step S4; No), the process proceeds to step S7 described later. Here, in the present embodiment, the mathematical expression part connected to the variable with an equal sign includes at least one variable, and the numerical value (constant) connected to the variable with an equal sign is equal to the variable. It does not correspond to the formula part connected by the number.

  On the other hand, when it is determined that the formula entered in step S4 includes a mathematical expression part connected with an equal sign in the variable (step S4; Yes), the CPU 11 detects the formula in step S4. It is determined whether or not a mathematical formula portion having the same value as the mathematical formula portion exists in the mathematical formula portion storage area 120 (step S5).

  If it is determined in step S5 that there is an equivalent mathematical part (step S5; Yes), the CPU 11 proceeds to step S7 described later.

  On the other hand, if it is determined in step S5 that there is no equivalent mathematical part (step S5; No), the CPU 11 determines the mathematical part connected to the variable with an equal sign, the variable, and the color of these display forms. And the underline type are stored in the mathematical expression partial storage area 120 in association with each other (step S6).

  Next, the CPU 11 determines whether or not there is an open parenthesis or function in the input calculation formula (step S7), and if it is determined that there is no open parenthesis or function (step S7; No), it will be described later. The process proceeds to step S11.

Here, in the present embodiment, the function is a prefix function, a postfix function, a function with parentheses, or a composite function thereof. Examples of the prefix function include √, log, ln, e ^x , 10 ^x , sin, cos, and tan. Examples of postfix functions include x ² , x ⁻¹ , x !, x√, and the like. Examples of functions with parentheses include d / dx, d ² / dx ² , ∫dx, and Σ.

  If it is determined in step S7 that there is an open parenthesis or a function (step S7; Yes), the CPU 11 determines, for each open parenthesis in the input calculation formula, this open parenthesis and the corresponding close parenthesis. The parts surrounded by parentheses are detected as mathematical parts, respectively, and the entire function including arguments is detected as mathematical parts for each function in the inputted calculation formula (step S8). In the present embodiment, the formula part enclosed by parentheses includes an open parenthesis and a close parenthesis itself.

  Next, the CPU 11 determines, for each mathematical formula part detected in step S8, whether or not there is a mathematical formula part having the same value in the mathematical formula part storage area 120 (step S9). When it determines (step S9; Yes), it transfers to below-mentioned step S11.

  When it is determined in step S9 that there is no equivalent mathematical part (step S9; No), the CPU 11 associates each mathematical part detected in step S8 with the color and underline type as the display form. In addition, it is stored in the mathematical formula partial storage area 120 (step S10).

  Next, the CPU 11 determines whether or not the input calculation formula includes a fraction having addition / subtraction in the numerator or denominator (step S11), and the fraction having addition / subtraction in the numerator or denominator is included. If it is determined that there is not (step S11; No), the process proceeds to step S15 described later.

  If it is determined in step S11 that the numerator or denominator includes a fraction having addition and subtraction (step S11; Yes), the CPU 11 detects each such fraction as a mathematical expression part (step S12).

  Next, the CPU 11 determines, for each mathematical part detected in step S12, whether there is a mathematical part with the same value in the mathematical part storage area 120 (step S13), and determines that there is a mathematical part with the same value. If so (step S13; Yes), the process proceeds to step S15 described later.

  When it is determined in step S13 that there is no equivalent mathematical part (step S13; No), the CPU 11 determines each mathematical part detected in step S12 and the color and underline type as the display form. Corresponding data are stored in the mathematical formula partial storage area 120 (step S14).

  Next, the CPU 11 identifies, in the input calculation formula, each formula portion having the same value as the formula portion stored in the formula portion storage area 120 on the display 3 in a display form stored corresponding to each formula portion. It is displayed (step S15).

  More specifically, at this time, the CPU 11 displays the display form stored corresponding to each formula part for each formula part having the same value as the formula part stored in the formula part storage area 120 in the inputted calculation formula. Overwriting is set in descending order of the length of the mathematical formula portion, and each mathematical formula portion is identified and displayed on the display 3 in this overwritten display form. Specifically, first, the CPU 11 sets a display form (color, underline) corresponding to the longest mathematical expression part among the mathematical expression parts stored in the mathematical expression part storage area 120. Next, the CPU 11 overwrites and sets the display form (color, underline) corresponding to the second long mathematical expression part to the display form so far. As a result, when the longest mathematical expression part and the second longest mathematical expression part are superimposed, the display form (color, underline) corresponding to the second longest mathematical expression part is set for this superposed part. Thereafter, in the same manner, the CPU 11 changes the display form (color, underline) corresponding to each mathematical expression part from all the mathematical expression parts stored in the mathematical expression part storage area 120 in order from the long mathematical expression part to the previous display form. Set to overwrite. As a result, when a plurality of mathematical expression parts are superimposed in the input calculation formula, the superimposed part is added to the mathematical expression part (the shortest mathematical expression part) displayed last among the superimposed mathematical expression parts. A corresponding display form (color, underline) is displayed on the display 3.

  Next, the CPU 11 determines whether or not a deformable input operation on the second and subsequent lines is performed (step S16), and when it is determined that a deformable input operation is performed (step S16; Yes). The process proceeds to step S3 described above.

  If it is determined in step S16 that a deformable input operation has been performed (step S16; No), the CPU 11 determines whether or not an end operation by the user is performed (step S17).

  If it is determined in step S17 that the end operation has not been performed (step S17; No), the CPU 11 performs other processing while determining that the end operation has been performed (step S17; In Yes), the mathematical expression display process is terminated.

[1.4 Operation example]
Next, the operation of the scientific calculator 1 described above will be specifically described with reference to the drawings. In the drawings referred to in the following operation example 1 and operation example 2, the region surrounded by a broken line indicates the corresponding color of the code for this region (“B”: Blue (Blue), “R”: Red (Red ), “G”: Green, “P”: Pink, “Lb”: Light blue, “Yg”: Yellow green, “V”: Violet) Indicates that characters in the area are displayed. Further, in the drawing referred to in the following operation example 3, the subscript “b” with respect to the symbol “F” of the surrounding frame F indicates that the surrounding frame F is displayed in blue. Similarly, subscripts “b”, “r”, “g”, “p”, “lb”, “yg”, “v”, “o”, “ib”, For “br”, the frame F is blue, red, green, pink, light blue, yellow green, violet, orange ( It is displayed in orange, indigo blue, and brown.

(Operation example 1)
First, when the formula display process is executed, the formula portion in the formula portion storage area 120 is reset (step S1).

  Next, as shown in the first line of FIG. 5, when the user inputs the calculation formula “a + b = A” (step S <b> 2), the calculation formula “a + b = A” corresponding to the input operation is displayed on the first line of the display 3. It is input and displayed (step S3).

  Here, the scientific calculator 1 according to the first operation example displays the input calculation formula on the display 3 in a display format (one-line display format) with a small number of rows. Thereby, for example, the square of a is displayed as “a ^ 2”.

  Next, it is determined that the formula part “a + b” connected with the variable “A” and the equal sign is included in the calculation formula “a + b = A” in the first line (step S4; Yes), and the equal sign is included in this variable. When it is determined that there is no mathematical expression part having the same value as the mathematical expression part “a + b” connected in the mathematical expression part storage area 120 (step S5; No), as shown in FIG. 3, the mathematical expression part “a + b” and the variable “A” "Is stored in the mathematical formula portion storage area 120 in association with" blue "and" straight line underline "as display forms (step S6).

  Next, it is determined that there is no open parenthesis or function in the calculation formula “a + b = A” in the first line (Step S7; No), and the numerator or denominator is provided with addition / subtraction in the calculation formula “a + b = A”. If it is determined that the fraction to be included is not included (step S11; No), as shown in the first line of FIG. 5, the mathematical expression “a + b = A” in the first line displayed on the display 3 is calculated. The mathematical expression portion “a + b” and the equivalent variable “A” stored in the partial storage area 120 are identified and displayed in a corresponding display form (“blue”, “line underline”) (step S15). In FIG. 5, the underline attached to the mathematical expression part that is identified and displayed is omitted.

  Next, as shown in the second line of FIG. 5, when the user inputs the calculation formula “(a + b + c) ^ 2” (step S16; Yes), the calculation formula “(a + b + c) ^ 2” corresponding to the input operation is displayed. 3 is input and displayed on the second line (step S3).

  Next, it is determined that the formula part ((a + b + c) ^ 2) on the second line does not include the formula part connected to the variable with an equal sign (step S4; No), It is determined that there is a function (step S7; Yes).

  Next, when “(a + b + c)” is detected as an equation part enclosed in parentheses and “(a + b + c) ^ 2” is detected as an equation part of a function (step S8), these equation parts (“ (A + b + c) ”or“ (a + b + c) ^ 2 ”) is determined that there is no mathematical expression part in the mathematical expression partial storage area 120 (No in step S9). Then, as shown in FIG. 3, the formula part “(a + b + c)” is stored in the formula part storage area 120 in association with “red” and “underlined double line” as the display form (step S10). “(A + b + c) ^ 2” is stored in the mathematical expression partial storage area 120 in association with “green” and “dashed underline” as display forms (step S10).

  Next, if it is determined that the calculation formula “(a + b + c) ^ 2” in the second row does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), the second row in FIG. As shown, the formula parts “a + b”, “(a + b + c)” and “((a + b + c) ^ 2” stored in the formula part storage area 120 of the calculation formula “(a + b + c) ^ 2” on the second line displayed on the display 3 are shown. "a + b + c) ^ 2" is identified and displayed in order from the long mathematical expression part in the corresponding display form (color, underline) (step S15).

  Specifically, first, a corresponding display form (“green”, “underline of wavy line”) is set for “(a + b + c) ^ 2” which is the longest mathematical expression portion among them. Next, for “(a + b + c)”, which is the second longest mathematical expression portion, the corresponding display form (“red”, “underlined double line”) is overwritten. Finally, the corresponding display form (“blue”, “straight line underline”) is overwritten for “a + b” which is the shortest mathematical expression portion. Therefore, as shown in the second line of FIG. 5, the calculation formula “(a + b + c) ^ 2” in the second line is displayed in order from the left component of the calculation formula with “(” in the display form (“red”, “double” "A + b" is a display form ("blue", "straight line underline"), "+ c)" is a display form ("red", "double line underline"), and "^ 2 ”is displayed on the display 3 in a display form (“ green ”,“ underlined wavy line ”).

  Next, as shown in the third line of FIG. 5, when the user inputs a modified expression “= (A + c) ^ 2” obtained by modifying the calculation expression “(a + b + c) ^ 2” in the second line (step S16; Yes). The modified expression “= (A + c) ^ 2” corresponding to the input operation is input and displayed on the third line of the display 3 (step S3).

  Next, it is determined that the formula part “= (A + c) ^ 2” on the third line does not include the formula part connected to the variable by an equal sign (step S4; No), and the formula “= (A + c) ) ^ "Is determined to have an open parenthesis and a function (step S7; Yes).

  Next, when “(A + c)” is detected as an equation part surrounded by parentheses and “(A + c) ^ 2” is detected as an equation part of a function (step S8), these equation parts (“ It is determined that “(a + b + c)” and “(a + b + c) ^ 2”, which are mathematical parts equivalent to (A + c) ”or“ (A + c) ^ 2 ”), are in the mathematical expression part storage area 120 (step S9; Yes).

  Next, if it is determined that the calculation formula “= (A + c) ^ 2” in the third row does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), the third row in FIG. As shown in FIG. 4, in the calculation formula “= (A + c) ^ 2” on the third line displayed on the display 3, a formula portion “(A + c)” (equivalent to the formula portion stored in the formula portion storage area 120) The expression “(a + b + c)” and “(A + c) ^ 2” (equal to the expression part “(a + b + c) ^ 2”) and the variable “A” having the same value as the expression part “a + b” In the form (color, underline), identification and display are performed in order from the long mathematical expression (step S15).

  Specifically, first, a corresponding display form (“green”, “underline of wavy line”) is set for “(A + c) ^ 2” which is the longest mathematical expression portion among them. Next, for “(A + c)” which is the second longest mathematical expression portion, the corresponding display form (“red”, “underlined double line”) is overwritten. Finally, the corresponding display form (“blue”, “straight line underline”) is overwritten for the variable “A” having the same value as “a + b” which is the shortest mathematical expression portion. Therefore, as shown in the third line of FIG. 5, the calculation formula “= (A + c) ^ 2” in the third line is displayed in order from the left component of the calculation formula with “(” in the display form (“red”, “two "A" is the display form ("blue", "straight line underline"), "+ c)" is the display form ("red", "double line underline"), ^ 2 "is displayed on the display 3 in a display form (" green "," underlined wavy line ").

  Next, as shown in the fourth line of FIG. 5, when the user inputs a modified expression “= A ^ 2 + 2Ac + c ^ 2” obtained by modifying the calculation expression “= (A + c) ^ 2” in the third line (step S16; Yes). ), A modified expression “= A ^ 2 + 2Ac + c ^ 2” corresponding to the input operation is input and displayed on the fourth line of the display 3 (step S3).

  Next, it is determined that the mathematical expression “= A ^ 2 + 2Ac + c ^ 2” in the fourth row does not include a mathematical expression part connected to the variable by an equal sign (step S4; No). It is determined that there is a function in “2 + 2Ac + c ^ 2” (step S7; Yes).

  Next, when “A ^ 2” and “c ^ 2” are detected as the mathematical expression part of the function (step S8), mathematical expressions equivalent to these mathematical expression parts (“A ^ 2” or “c ^ 2”). It is determined that the portion is not in the formula partial storage area 120 (step S9; No). As shown in FIG. 3, the formula part “A ^ 2” is stored in the formula part storage area 120 in association with “pink” and “underlined dotted line” as display forms (step S10), and the formula part “c” is stored. “^ 2” is stored in the formula partial storage area 120 in association with “light blue” and “underline of double dotted line” as display forms (step S10).

  Next, if it is determined that the calculation formula “= A ^ 2 + 2Ac + c ^ 2” in the fourth line does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), the fourth line in FIG. As shown in FIG. 4, the formula parts “A ^ 2” and “c ^ 2” stored in the formula part storage area 120 among the calculation formulas “= A ^ 2 + 2Ac + c ^ 2” displayed on the display 3 are displayed. , A mathematical expression portion “A ^ 2 + 2Ac + c ^ 2” (equivalent to the mathematical expression portion “(a + b + c) ^ 2”) equivalent to the mathematical expression portion stored in the mathematical expression portion storage area 120, and a variable “A” equivalent to the mathematical expression portion “a + b”. Are displayed in the corresponding display form (color, underline) in order from the long mathematical expression (step S15).

  Specifically, first, a corresponding display form (“green”, “underline of wavy line”) is set for “A ^ 2 + 2Ac + c ^ 2”, which is the longest mathematical expression portion among them. Next, with respect to “A ^ 2”, which is the second longest mathematical expression portion, the corresponding display form (“pink”, “underlined dotted line”) is overwritten. Next, the corresponding display form (“blue”, “straight line underline”) is overwritten for the variable “A” having the same value as “a + b”, which is the third longest mathematical expression portion. Finally, the corresponding display form (“light blue”, “underlined double dotted line”) is overwritten for “c ^ 2” which is the shortest mathematical expression portion. Accordingly, as shown in the fourth line of FIG. 5, the calculation formula “= A ^ 2 + 2Ac + c ^ 2” in the fourth line is displayed in the form of “A” in order from the left component of the calculation formula (“blue”, “straight line”). "^ 2" is the display form ("pink", "dotted line underline"), "+2" is the display form ("green", "dashed line"), and "A" is displayed In the form (“blue”, “line underline”), “c +” is the display form (“green”, “underlined wavy line”), and “c ^ 2” is the display form (“light blue”, “double dotted line”) Underlined ")" is displayed on the display 3.

  Next, as shown in the fifth line of FIG. 5, the user inputs a modified expression “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” obtained by modifying the calculation expression “= A ^ 2 + 2Ac + c ^ 2” on the fourth line. Then (step S16; Yes), the transformation formula “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” corresponding to the input operation is input and displayed on the fifth line of the display 3 (step S3).

  Next, it is determined that the formula part “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” in the fifth line does not include a mathematical expression part connected by an equal sign to the variable (Step S4; No), 5 It is determined that there is an open parenthesis and a function in the calculation formula “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” on the line (step S7; Yes).

  Next, when “(a + b)” is detected as an equation part surrounded by parentheses, and “(a + b) ^ 2” and “c ^ 2” are detected as an equation part of a function (step S8), “A + b”, “A ^ 2”, and “c ^ 2” that are the same or equivalent to those mathematical parts (“(a + b)”, “(a + b) ^ 2”, or “c ^ 2”) "Is in the formula partial storage area 120 (step S9; Yes).

  Next, when it is determined that the calculation formula “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” on the fifth line does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), As shown in the fifth line of FIG. 5, the formula stored in the formula partial storage area 120 among the calculation formulas “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” displayed on the display 3. The part “c ^ 2” and the mathematical part “(a + b)” (equivalent to the mathematical part “a + b”) and “(a + b) ^ 2” (the mathematical part “ Equivalent to A ^ 2) and "(a + b) ^ 2 + 2 (a + b) c + c ^ 2" (equivalent to the mathematical expression part "(a + b + c) ^ 2") in the corresponding display form (color, underline) and a long mathematical expression Identifications are displayed in order from the portion (step S15).

  Specifically, first, the corresponding display form (“green”, “underline of wavy line”) is set for “(a + b) ^ 2 + 2 (a + b) c + c ^ 2”, which is the longest mathematical part of these. The Next, with respect to “(a + b) ^ 2” which is the second longest mathematical expression portion, the corresponding display form (“pink”, “dashed underline”) is overwritten. Next, for “(a + b)”, which is the third longest mathematical expression portion, the corresponding display form (“blue”, “straight line underline”) is overwritten. Finally, the corresponding display form (“light blue”, “underlined double dotted line”) is overwritten for “c ^ 2” which is the shortest mathematical expression portion. Accordingly, as shown in the fifth line of FIG. 5, the calculation formula “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” in the fifth line displays “(a + b)” in order from the left component of the calculation formula. In the form (“blue”, “straight line underline”), “^ 2” is the display form (“pink”, “dotted line underline”), and “+2” is the display form (“green”, “underlined wavy line”) ), “(A + b)” is the display form (“blue”, “underlined straight line”), “c +” is the display form (“green”, “underlined wavy line”), and “c ^ 2” is displayed It is displayed on the display 3 in the form (“light blue”, “double underline”).

  Next, as shown in the sixth line of FIG. 5, the user modifies the calculation formula “= (a + b) ^ 2 + 2 (a + b) c + c ^ 2” in the fifth line “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2”. Is input (step S16; Yes), a deformation formula “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” corresponding to the input operation is input and displayed on the sixth line of the display 3 (step S3).

  Next, it is determined that the formula part “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” on the sixth line does not include a mathematical expression part connected with an equal sign to the variable (step S4; No), and the calculation on the sixth line It is determined that there is a function in the expression “= a 2 + 2ab + b 2 + 2ac + 2bc + c 2” (step S7; Yes).

  Next, when “a ^ 2” and “b ^ 2” are detected as the mathematical expression parts of the function (step S8), the mathematical expressions equivalent to these mathematical expression parts (“a ^ 2” or “b ^ 2”). It is determined that the portion is not in the formula partial storage area 120 (step S9; No). Then, as shown in FIG. 3, the formula part “a ^ 2” is stored in the formula part storage area 120 in association with “yellowish green” and “underline of double wavy lines” as display forms (step S10). The part “b ^ 2” is stored in the mathematical expression part storage area 120 in association with “violet” and “dashed underline” as display forms (step S10).

  Next, when it is determined that the calculation formula “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” on the sixth line does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), 6 in FIG. As shown in the line, among the calculation formulas “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” on the sixth line displayed on the display 3, the formula parts “a ^ 2”, “ b ^ 2 "and" c ^ 2 ", and a mathematical expression part" a ^ 2 + 2ab + b ^ 2 "(equivalent to the mathematical expression part" A ^ 2 ") and" a "equivalent to the mathematical expression part stored in the mathematical expression part storage area 120 ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2 "(equivalent to the formula part" (a + b + c) ^ 2 ") is identified and displayed in order from the long formula part in the corresponding display form (color, underline) (step S15).

  Specifically, first, a corresponding display form (“green”, “underline of wavy line”) is set for “a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” which is the longest mathematical expression portion. Next, for “a ^ 2 + 2ab + b ^ 2”, which is the second longest mathematical expression portion, the corresponding display form (“pink”, “dotted line underline”) is overwritten. Here, since the remaining three mathematical expression parts “a ^ 2”, “b ^ 2”, and “c ^ 2” have the same length, they are stored in the mathematical expression part storage area 120 first. The corresponding display form is overwritten in order from the mathematical expression portion. Thereby, next, for “c ^ 2”, the corresponding display form (“light blue”, “underlined double dotted line”) is overwritten. Next, for “a ^ 2”, the corresponding display form (“yellowish green”, “underlined double wavy line”) is overwritten. Finally, for “b ^ 2”, the corresponding display form (“violet”, “dashed underline”) is overwritten. Accordingly, as shown in the sixth line of FIG. 5, the calculation formula “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” in the sixth line is displayed in the form of “a ^ 2” in order from the left component of the calculation formula (“yellow "Green", "double underline"), "+ 2ab +" is the display form ("pink", "dotted line underline"), and "b ^ 2" is the display form ("violet", "dashed line underline") ), “+ 2ac + 2bc +” is displayed on the display 3 in the display form (“green”, “underlined wavy line”) and “c ^ 2” is displayed in the display form (“light blue”, “underlined double dotted line”). .

  Next, as shown in the seventh line of FIG. 5, when the user inputs a modified expression “= a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca” obtained by modifying the calculation expression “= a ^ 2 + 2ab + b ^ 2 + 2ac + 2bc + c ^ 2” on the sixth line ( In step S16; Yes), a modified expression “= a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca” corresponding to the input operation is input and displayed on the seventh line of the display 3 (step S3).

  Next, it is determined that the formula part “= a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca” on the seventh line does not include a mathematical expression part connected with an equal sign (step S4; No), and the calculation on the seventh line It is determined that there is a function in the expression (step S7; Yes).

  Next, when “a ^ 2”, “b ^ 2”, and “c ^ 2” are detected as the mathematical part of the function (step S8), these mathematical parts (“a ^ 2”, “b ^”) are detected. 2 ”and“ c ^ 2 ”) are determined to be in the formula partial storage area 120 (step S9; Yes).

  Next, when it is determined that the calculation formula “= a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca” on the seventh line does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), 7 in FIG. As shown in the line, among the calculation formulas “= a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca” displayed on the display 3, the mathematical expression parts “a ^ 2”, “ b ^ 2 "and" c ^ 2 ", and a mathematical expression part" a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca "equivalent to the mathematical expression part stored in the mathematical expression part storage area 120 (equivalent to the mathematical expression part" (a + b + c) ^ 2 ") ) In the corresponding display form (color, underline) are displayed in order from the long mathematical part (step S15).

  Specifically, first, a corresponding display form (“green”, “underline of wavy line”) is set for “a ^ 2 + b ^ 2 + c ^ 2 + 2ab + 2bc + 2ca” which is the longest mathematical expression portion. Here, since the remaining three mathematical expression parts “a ^ 2”, “b ^ 2”, and “c ^ 2” have the same length, they are stored in the mathematical expression part storage area 120 first. The corresponding display form is overwritten in order from the mathematical expression portion. Thereby, next, for “c ^ 2”, the corresponding display form (“light blue”, “underlined double dotted line”) is overwritten. Next, for “a ^ 2”, the corresponding display form (“yellowish green”, “underlined double wavy line”) is overwritten. Finally, for “b ^ 2”, the corresponding display form (“violet”, “dashed underline”) is overwritten. Accordingly, as shown in the seventh line of FIG. 5, the calculation formula of the seventh line is “a ^ 2” in order from the left component of the calculation formula (“yellowish green”, “double underline”). ), “+” Is a display form (“green”, “underlined wavy line”), “b ^ 2” is a display form (“violet”, “dashed underline”), and “+” is a display form ( “Green”, “underline of wavy line”), “c ^ 2” is display form (“light blue”, “underline of double dotted line”), “+ 2ab + 2bc + 2ca” is display form (“green”, “underline of wavy line”) ]) Is displayed on the display 3.

(Operation example 2)
First, when the mathematical expression display process is executed, the mathematical formula portion in the mathematical formula portion storage area 120 is reset in the same manner as in the first operation example (step S1).

  Next, as shown in the first line of FIG. 6, when the user inputs the calculation formula “2x + y = 8” in the first line (step S <b> 2), the calculation formula “2x + y = 8” corresponding to the input operation is displayed on the display 3. It is input and displayed on the first line (step S3).

  Next, it is determined that the formula part “2x + y = 8” on the first line does not include the mathematical expression part connected to the variable by an equal sign (step S4; No), and the formula “2x + y = 8” on the first line. It is determined that there is no open parenthesis or function in “” (step S7; No). Then, it is determined that the calculation formula “2x + y = 8” in the first row does not include a fraction having addition / subtraction in the numerator or denominator (Step S11; No). At this stage, since no mathematical formula portion is stored in the mathematical formula portion storage area 120, the identification display of the mathematical formula portion in step S15 is not performed.

  Next, as shown in the second line of FIG. 6, when the user inputs the calculation formula “3x-4y = 1” in the second line (step S16; Yes), the calculation formula “3x-4y =” corresponding to the input operation. "1" is input and displayed on the second line of the display 3 (step S3).

  Next, similarly to the calculation formula in the first row, it is determined that the formula expression “3x-4y = 1” in the second row does not include a mathematical expression part connected to the variable by an equal sign (Step S4; No). ) It is determined that there is no open parenthesis or function in the calculation formula “3x−4y = 1” in the second row (step S7; No). Then, it is determined that the calculation formula “3x−4y = 1” in the second row does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No). At this stage, since no mathematical formula portion is stored in the mathematical formula portion storage area 120, the identification display of the mathematical formula portion in step S15 is not performed.

  Next, as shown in the third line of FIG. 6, when the user inputs the calculation formula “y = 8-2x” in the third line (step S16; Yes), the calculation formula “y = 8− 2x "is input and displayed on the third line of the display 3 (step S3).

  Next, it is determined that the formula part “8-2x” connected to the variable “y” by the equal sign is included in the calculation formula “y = 8-2x” on the third line (step S4; Yes). If it is determined that there is no mathematical expression part equivalent to the mathematical expression part “8-2x” connected to the variable in the mathematical expression part storage area 120 (No in step S5), the mathematical expression part “8-2x” and the variable “ “y” is stored in the formula partial storage area 120 in association with “blue” as the display form (step S6). In the second operation example, the formula portion is stored in the formula portion storage area 120 in association with only the color (character color) as the display form.

  Next, it is determined that there is no open parenthesis or function in the calculation formula “y = 8-2x” on the third line (step S7; No), and in the calculation formula “y = 8-2x” on the third line. When it is determined that the numerator or the denominator does not include a fraction having addition / subtraction (step S11; No), as shown in the third line of FIG. Of these, the mathematical formula portion “8-2x” and the replacement variable “y” stored in the mathematical formula portion storage area 120 are identified and displayed in a corresponding display form (“blue”) (step S15).

  Hereinafter, the calculation formulas for the fourth and subsequent lines will be described only for the calculation formulas for the lines including the formula portion or variable identified and displayed in step S15.

  Next, as shown in the fifth line of FIG. 6, after the calculation formula “3x−4y = 1” on the fourth line is displayed, the user calculates the calculation formula “3x−4 (8−2x) = 5” on the fifth line. When "1" is input (step S16; Yes), the calculation formula "3x-4 (8-2x) = 1" corresponding to the input operation is input and displayed on the fifth line of the display 3 (step S3).

  Next, it is determined that the formula part “3x-4 (8-2x) = 1” in the fifth line does not include a mathematical expression part connected with an equal sign in the variable (Step S4; No), the fifth line It is determined that there is an open parenthesis in the formula “3x-4 (8-2x) = 1” (step S7; Yes).

  Next, when “(8-2x)” is detected as a formula part enclosed in parentheses (step S8), “8-2x”, which is a formula part equivalent to the formula part, is stored in the formula part storage area 120. It is determined that there is (step S9; Yes).

  Next, when it is determined that the calculation formula “3x-4 (8-2x) = 1” in the fifth row does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), FIG. As shown in the fifth line, the formula part “(8-2x)” (the formula part having the same value as the formula part stored in the formula part storage area 120 among the calculation formulas in the fifth line displayed on the display 3. (Same value as “8-2x”) is identified and displayed in a corresponding display form (“blue”) (step S15).

  Next, as shown in the ninth line of FIG. 6, after the calculation formula “x = 3” in the eighth line is displayed, the user inputs the calculation formula “y = 8-2x” in the ninth line (step S16; Yes), the calculation formula “y = 8−2x” corresponding to the input operation is input and displayed on the ninth line of the display 3 (step S3).

  Next, it is determined that the formula part “8-2x” connected to the variable “y” by the equal sign is included in the calculation formula “y = 8-2x” on the ninth line (step S4; Yes). It is determined that the formula part “8-2x” connected to the variable with an equal sign is in the formula part storage area 120 (step S5; Yes).

  Next, it is determined that there is no open parenthesis or function in the calculation formula “y = 8-2x” on the ninth line (step S7; No), and in the calculation formula “y = 8-2x” on the ninth line. When it is determined that the numerator or the denominator does not include a fraction having addition / subtraction (step S11; No), as shown in the ninth line of FIG. The expression part “8-2x” and the variable “y” equivalent to the expression part stored in the expression part storage area 120 in “y = 8-2x” are identified and displayed in the corresponding display form (“blue”). (Step S15).

  Next, as shown in the 10th line in FIG. 6, after the calculation formula “y = 8-2x” in the 9th line is displayed, the user calculates the calculation formula “y = 8−2 · 3 = 2” in the 10th line. "(Step S16; Yes), the calculation formula" y = 8-2 · 3 = 2 "corresponding to the input operation is input and displayed on the 10th line of the display 3 (step S3).

  Next, it is determined that the formula part “y = 8−2 · 3 = 2” in the 10th line does not include a mathematical expression part connected to the variable by an equal sign (Step S4; No), It is determined that there is no open parenthesis or function in the calculation formula “y = 8−2 · 3 = 2” (step S7; No). Then, it is determined that the calculation formula “y = 8−2 · 3 = 2” in the 10th row does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No).

  Next, as shown in the 10th line in FIG. 6, the variable “y” that replaces the formula part “8-2x” stored in the formula part storage area 120 among the calculation formulas in the 10th line displayed on the display 3. "Is identified and displayed in a corresponding display form (" blue ") (step S15).

(Operation example 3)
First, when the mathematical expression display process is executed, the mathematical formula portion in the mathematical formula portion storage area 120 is reset in the same manner as in the above-described operation example 1 and operation example 2 (step S1).

  Note that the mathematical formula portion storage area 120 in this operation example 3 stores the mathematical formula portion and the frame color as the display form in association with each other. In addition, for the mathematical expression part connected to the variable with an equal sign, the variable is further associated with the color of the frame corresponding to the mathematical expression part and stored. Here, the color of the frame indicates the color of the frame in the case where the display target is surrounded and displayed for identification in step S15 described later.

  Next, as shown in the first line of FIG. 7, when the user inputs the calculation formula “(X− (1 + √5) / 2) (X− (1−√5) / 2)” in the first line ( In step S2), the calculation formula “(X− (1 + √5) / 2) (X− (1−√5) / 2)” corresponding to the input operation is input and displayed on the first line of the display 3. (Step S3).

Here, the scientific calculator 1 of this operation example 3 displays the input calculation formula on the display 3 in a display format (natural display format) represented in a general textbook or book. ing. Thereby, for example, the square of a is displayed as “a ² ”.

  Next, if the formula in the first line “(X− (1 + √5) / 2) (X− (1−√5) / 2)” does not include the mathematical expression part connected to the variable with an equal sign It is determined (Step S4; No), and it is determined that there is an open parenthesis in the calculation formula “(X− (1 + √5) / 2) (X− (1−√5) / 2)” on the first line. (Step S7; Yes).

  Next, when “(X− (1 + √5) / 2)” and “(X− (1−√5) / 2)” are detected as the mathematical expression part enclosed in parentheses (step S8), It is determined that there is no formula part having the same value as the formula part (“(X− (1 + √5) / 2)” or “(X− (1−√5) / 2)”) in the formula part storage area 120. (Step S9; No). The mathematical expression part “(X−1 + √5 / 2)” is stored in the mathematical expression part storage area 120 in association with the “blue frame” as the display form (step S10), and the mathematical expression part “(X-1-−) is stored. √5 / 2) ”is stored in the mathematical expression partial storage area 120 in association with the“ red frame ”as the display form (step S10).

  Next, it is determined that the calculation formula “(X− (1 + √5) / 2) (X− (1−√5) / 2)” in the first row includes a fraction having addition / subtraction in the numerator or denominator. Then (step S11; Yes), “(1 + √5) / 2” and “(1−√5) / 2” are detected as fractional mathematical parts (step S12), and these mathematical parts (“ (1 + √5) / 2 ”or“ (1−√5) / 2 ”) is determined not to be in the formula portion storage area 120 (No in step S13). The formula part “(1 + √5) / 2” is stored in the formula part storage area 120 in association with the “green frame” as the display form (step S10), and the formula part “(1-√5) / “2” is stored in the mathematical expression partial storage area 120 in association with “pink frame” as the display form (step S14).

  Next, as shown in the first line of FIG. 7, the calculation formula “(X− (1 + √5) / 2) (X− (1−√5) / 2” displayed on the display 3 is displayed. ) ”Stored in the formula part storage area 120“ (X− (1−√5) / 2) ”,“ (X− (1−√5) / 2 ”,“ (1 + √5) ”. / 2 ”and“ (1−√5 / 2) ”are displayed in a corresponding display form (“ color frame ”) (step S15).

  Specifically, “(X− (1−√5) / 2)” is the “blue frame” as the display form, and “(X− (1−√5) / 2)” is the display form. In “red frame”, “(1 + √5) / 2” is “green frame” as a display form, and “(1−√5) / 2” is “pink frame” as a display form. It is surrounded and displayed on the display 3.

  Next, when the user inputs the calculation formula “XX-X ((1−√5) / 2) −X ((1 + √5) / 2)” in the second row, as shown in the second row in FIG. (Step S16; Yes), the calculation formula “XX-X ((1−√5) / 2) −X ((1 + √5) / 2)” corresponding to the input operation is input to the second line of the display 3. Is displayed (step S3).

  Next, the formula part “XX-X ((1−√5) / 2) −X ((1 + √5) / 2)” in the second row does not include the mathematical expression part connected to the variable by an equal sign. (Step S4; No), and there is an open parenthesis in the calculation formula "XX-X ((1-√5) / 2) -X ((1 + √5) / 2)" in the second row It is determined (step S7; Yes).

  Next, when “((1−√5) / 2)” and “((1 + √5) / 2)” are detected as the formula parts enclosed in parentheses (step S8), these formula parts ( “((1−√5) / 2)” or “((1 + √5) / 2)”) and “(1−√5) / 2” and “(1 + √5) / 2 ”is determined to be in the formula partial storage area 120 (step S9; Yes).

  Next, when the calculation formula “XX-X ((1−√5) / 2) −X ((1 + √5) / 2)” in the second row includes a fraction having addition / subtraction in the numerator or denominator. If it is determined (step S11; Yes), “(1−√5) / 2” and “(1 + √5) / 2” are detected as fractional mathematical parts (step S12), and these mathematical parts ( It is determined that “(1−√5) / 2” and “(1 + √5) / 2”) are in the formula partial storage area 120 (step S13; Yes).

  Next, as shown in the second line of FIG. 7, the calculation formula “XX−X ((1−√5) / 2) −X ((1 + √5) / 2) ”, the formula parts“ (1−√5) / 2 ”and“ (1 + √5) / 2 ”stored in the formula part storage area 120 are in the corresponding display form (“ color frame ”). Are displayed (step S15).

  Specifically, “(1−√5) / 2” is surrounded by a “pink frame” as a display form, and “(1 + √5) / 2” is surrounded by a “green frame” as a display form. Are displayed on the display 3.

  Next, as shown in the third line of FIG. 7, when the user inputs the calculation formula “+ ((1 + √5) / 2) ((1−√5) / 2)” in the third line (step S16; Yes), the calculation formula “+ ((1 + √5) / 2) ((1−√5) / 2)” corresponding to the input operation is input and displayed on the third line of the display 3 (step S3). .

  Next, it is determined that the formula part “+ ((1 + √5) / 2) ((1−√5) / 2)” in the third row does not include a mathematical expression part connected to the variable by an equal sign. (Step S4; No) It is determined that there is an open parenthesis in the calculation formula “+ ((1 + √5) / 2) ((1−√5) / 2)” on the third line (Step S7; Yes). ).

  Next, when “((1 + √5) / 2)” and “((1−√5) / 2)” are detected as parenthesized mathematical expression parts (step S8), these mathematical expression parts ( “((1 + √5) / 2)” or “((1−√5) / 2)”) is equivalent to “(1 + √5) / 2” and “(1−√5) / 2 ”is determined to be in the formula partial storage area 120 (step S9; Yes).

  Next, when it is determined that the calculation formula “+ ((1 + √5) / 2) ((1−√5) / 2)” in the third row includes a fraction having addition / subtraction in the numerator or denominator. (Step S11; Yes), “(1 + √5) / 2” and “(1−√5) / 2” are detected as fractional mathematical parts (Step S12), and these mathematical parts (“(1 + √ 5) / 2 ”and“ (1−√5) / 2 ”) are determined to be in the formula partial storage area 120 (step S13; Yes).

  Next, as shown in the third line of FIG. 7, the calculation formula “+ ((1 + √5) / 2) ((1−√5) / 2)” on the third line displayed on the display 3 Of these, the formula parts “(1 + √5) / 2” and “(1−√5) / 2” stored in the formula part storage area 120 are displayed in the corresponding display form (“color frame”). (Step S15).

  Specifically, “(1 + √5) / 2” is surrounded by a “green frame” as a display form, and “(1−√5) / 2” is surrounded by a “pink frame” as a display form. Are displayed on the display 3.

  Next, as shown in the fourth line of FIG. 7, when the user inputs the calculation formula “XX−X ((1−√5) / 2 + (1 + √5) / 2)” in the fourth line (step S16; Yes), the calculation formula “XX−X ((1−√5) / 2 + (1 + √5) / 2)” corresponding to the input operation is input and displayed on the fourth line of the display 3 (step S3). .

  Next, it is determined that the formula “XX−X ((1−√5) / 2 + (1 + √5) / 2)” in the fourth row does not include a mathematical expression part connected with an equal sign in the variable. (Step S4; No) It is determined that there is an open parenthesis in the calculation formula “XX-X ((1−√5) / 2 + (1 + √5) / 2)” on the fourth line (Step S7; Yes). ).

  Next, when “((1−√5) / 2 + (1 + √5) / 2)” is detected as a formula part enclosed in parentheses (step S8), this formula part (“((1-√√ 5) / 2 + (1 + √5) / 2) ”)) is determined not to be in the formula part storage area 120 (step S9; No). The mathematical formula portion “((1−√5) / 2 + (1 + √5) / 2)” is stored in the mathematical formula portion storage area 120 in association with “light blue frame” as the display form (step S10). .

  Next, when it is determined that the calculation formula “XX-X ((1−√5) / 2 + (1 + √5) / 2)” in the fourth row includes a fraction having addition / subtraction in the numerator or denominator. (Step S11; Yes), “(1-√5) / 2” and “(1 + √5) / 2” are detected as fractional mathematical parts (Step S12), and these mathematical parts (“(1- √5) / 2 ”and“ (1 + √5) / 2 ”) are determined to be in the formula partial storage area 120 (step S13; Yes).

  Next, as shown in the fourth line of FIG. 7, the calculation formula “XX−X ((1−√5) / 2 + (1 + √5) / 2)” of the fourth line displayed on the display 3 Of these, the mathematical expression parts “((1−√5) / 2 + (1 + √5) / 2)”, “(1−√5) / 2” and “(1 + √5) / 2 ”is displayed in a corresponding display form (“ color frame ”) (step S15).

  Specifically, “((1-√5) / 2 + (1 + √5) / 2)” is the “light blue frame” as the display form, and “(1-√5) / 2” is the display form. "(1 + √5) / 2" is displayed on the display 3 surrounded by a "green frame" as a display form.

  Next, as shown in the fifth line of FIG. 7, when the user inputs the calculation formula “+ ((1 + √5) (1−√5) / 4)” in the fifth line (step S16; Yes), the input A calculation formula “+ ((1 + √5) (1−√5) / 4)” corresponding to the operation is input and displayed on the fifth line of the display 3 (step S3).

  Next, it is determined that the formula part “+ ((1 + √5) (1−√5) / 4)” on the fifth line does not include a mathematical expression part connected with an equal sign in the variable (step S4; No) It is determined that there is an open parenthesis in the calculation formula “+ ((1 + √5) (1−√5) / 4)” on the fifth line (step S7; Yes).

  Next, “((1 + √5) (1−√5) / 4)”, “(1 + √5)”, and “(1−√5)” are detected as the formula part enclosed in parentheses. And (step S8), which is the same value as those formula parts ("((1 + √5) (1-√5) / 4)", "(1 + √5)", or "(1-√5)")) It is determined that the formula part is not in the formula part storage area 120 (step S9; No). The mathematical expression portion “((1 + √5) (1−√5) / 4)” is stored in the mathematical expression portion storage area 120 in association with the “yellow-green frame” as the display form (step S10). The part “(1 + √5)” is stored in the formula part storage area 120 in association with the “violet frame” as the display form (step S10), and the formula part “(1−√5)” is displayed as the display form. It is stored in the mathematical expression partial storage area 120 in association with “orange frame” (step S10).

  Next, when it is determined that the calculation formula “+ ((1 + √5) (1−√5) / 4)” in the fifth row includes a fraction having addition / subtraction in the numerator or denominator (step S11; Yes), “(1 + √5) (1−√5) / 4” is detected as a fractional mathematical part (step S12), and this mathematical part “(1 + √5) (1−√5) / 4” It is determined that the equation part “((1 + √5) (1−√5) / 4)” having the same value as is in the equation part storage area 120 (step S13; Yes).

  Next, as shown in the fifth line of FIG. 7, the partial expression storage is included in the calculation expression “+ ((1 + √5) (1−√5) / 4)” on the fifth line displayed on the display 3. The mathematical expression portions “((1 + √5) (1−√5) / 4)”, “(1 + √5)”, and “(1−√5)” stored in the area 120 correspond to the display forms (“ "Color frame") (step S15).

  Specifically, “((1 + √5) (1−√5) / 4)” is a “yellow-green frame” as a display form, and “(1 + √5)” is a “violet” display form. “(1−√5)” is displayed on the display 3 surrounded by “orange frame” as a display form.

  Next, as shown in the sixth line of FIG. 7, when the user inputs the calculation formula “XX−X (((1−√5) + (1 + √5)) / 2)” in the sixth line (step S16). ; Yes), the calculation formula “XX−X (((1−√5) + (1 + √5)) / 2)” corresponding to the input operation is input and displayed on the sixth line of the display 3 (step). S3).

  Next, it is determined that the formula “XX−X (((1−√5) + (1 + √5)) / 2)” on the sixth line does not include a mathematical expression part connected with an equal sign to the variable. (Step S4; No), it is determined that there is an open parenthesis in the calculation formula “XX−X (((1−√5) + (1 + √5)) / 2)” on the sixth line (Step S7). ; Yes).

  Next, “(((1−√5) + (1 + √5)) / 2)”, “(1−√5)”, and “(1 + √5)” are included as the formula part enclosed in parentheses. When it is detected (step S8), it is determined that “(1−√5)” and “(1 + √5)” of these formula parts are in the formula part storage area 120 and “(((1 −√5) + (1 + √5)) / 2) ”and the formula portion“ ((1−√5) / 2 + (1 + √5) / 2) ”are determined to be in the formula portion storage area 120. (Step S9; Yes).

  Next, it is determined that the calculation formula “XX−X (((1−√5) + (1 + √5)) / 2)” on the sixth line includes a fraction having addition / subtraction in the numerator or denominator. (Step S11; Yes), “((1−√5) + (1 + √5)) / 2” is detected as the fractional mathematical part (Step S12), and this mathematical part “((1−√5 ) + (1 + √5)) / 2 ”is determined to be in the formula portion storage area 120 (“ ((1−√5) / 2 + (1 + √5) / 2) ”) (step S13). ; Yes).

  Next, as shown in the sixth line in FIG. 7, the calculation formula “XX−X (((1−√5) + (1 + √5)) / 2)” on the sixth line displayed on the display 3. Among the formula parts “(1−√5)” and “(1 + √5)” stored in the formula part storage area 120 and the formula part “(( (1-√5) + (1 + √5)) / 2) ”is displayed in a corresponding display form (“ color frame ”) (step S15).

  Specifically, “(1−√5)” is an “orange frame” as a display form, “(1 + √5)” is a “violet frame” as a display form, and “(((1 −√5) + (1 + √5)) / 2) ”is displayed on the display 3 surrounded by“ light blue frame ”as a display form.

Next, when the user inputs the calculation formula “+ (1 ² − (√5) ² ) / 4” in the seventh row (step S16; Yes), as shown in the seventh row in FIG. The calculation formula “+ (1 ² − (√5) ² ) / 4” is input and displayed on the seventh line of the display 3 (step S3).

Next, it is determined that the formula part “+ (1 ² − (√5) ² ) / 4” on the seventh line does not include a mathematical expression part connected to the variable by an equal sign (step S4; No). It is determined that there is a function in the calculation formula “+ (1 ² − (√5) ² ) / 4” on the seventh line (step S7; Yes).

Next, when “(√5) ² ” is detected as the formula part of the function (step S8),
It is determined that there is no mathematical expression part equivalent to this mathematical expression part “(√5) ² ” in the mathematical expression part storage area 120 (step S9; No). Then, the mathematical expression portion “(√5) ² ” is stored in the mathematical expression portion storage area 120 in association with the “blue frame” as the display form (step S10).

Next, when it is determined that the calculation formula “+ (1 ² − (√5) ² ) / 4” on the seventh line includes a fraction having addition / subtraction in the numerator or denominator (step S11; Yes), "(1 ^2- (√5) ² ) / 4" is detected as the fractional mathematical part (step S12), and the mathematical part equivalent to this mathematical part "(1 ^2- (√5) ² ) / 4" It is determined that “(((1 + √5) (1−√5)) / 4)” is in the formula partial storage area 120 (step S13; Yes).

Next, as shown in the seventh line of FIG. 7, in the formula partial storage area 120 of the calculation formula “+ (1 ² − (√5) ² ) / 4” on the seventh line displayed on the display 3. The stored mathematical formula portions “(1 ² − (√5) ² ) / 4” and “(√5) ² ” are displayed in the corresponding display form (“color frame”) (step S15).

Specifically, “(1 ² − (√5) ² ) / 4” is a “yellow-green frame” as a display form, and “(√5) ² ” is a “blue frame as a display form. "Is displayed on the display 3.

Next, as shown in the eighth line of FIG. 7, when the user inputs the calculation formula “X ² -X-2” on the eighth line (step S16; Yes), the calculation formula “X ² − "X-2" is input and displayed on the eighth line of the display 3 (step S3).

Next, it is determined that the formula “X ² -X-2” on the 8th line does not include the mathematical expression part connected to the variable by an equal sign (step S4; No), It is determined that there is a function in “X ² -X-2” (step S7; Yes).

Next, when “X ² ” is detected as the formula part of the function (step S8), it is determined that there is no formula part having the same value as the formula part “X ² ” in the formula part storage area 120 (step S9; No). The mathematical formula portion “X ² ” is stored in the mathematical formula portion storage area 120 in association with the “brown frame” as the display form (step S10).

Next, when it is determined that the calculation formula “X ² -X-2” on the eighth line does not include a fraction having addition / subtraction in the numerator or denominator (step S11; No), the eighth line in FIG. As shown in FIG. 4, the formula part “X ² ” stored in the formula part storage area 120 in the calculation formula “X ² -X-2” on the eighth line displayed on the display 3 is displayed in a corresponding display form ( "Color frame") (step S15). Specifically, “X ² ” is displayed on the display 3 surrounded by a “brown frame” as a display form.

  As described above, according to the present embodiment, as shown in steps S7 to S15 of FIG. 4 and FIG. 5 and the like, the mathematical formula portion stored in the mathematical formula portion storage area 120 and each mathematical formula portion equivalent to the mathematical formula portion are the same. Since it is displayed on the display 3 in the display form (the same font color and the same type of underline), the mathematical expression parts that are the same as each other when the expression is modified, among the mathematical expression parts enclosed in parentheses or the mathematical expression part of the function. They are displayed on the display 3 in the same display form. Therefore, even when the calculation formula is modified, the formula portion having the same value can be identified and displayed in an easy-to-understand manner.

  Further, as shown in steps S4 to S6, S15 of FIG. 4 and FIG. 6 and the like, among the calculation formulas, a formula part connected to the variable with an equal sign, a variable, and each formula part having the same value in this formula part. Since it is displayed on the display 3 in the same display form (same character color), even if the mathematical expression portion is replaced with a variable, the mathematical expression portion of the same value can be identified and displayed in an easy-to-understand manner.

  Further, as shown in steps S4 to S15 of FIG. 4 and FIG. 7 and the like, among the calculation formulas, each formula portion having the same value as the formula portion stored in the formula portion storage area 120 is displayed in the same color frame as a display form. Since it is enclosed and displayed on the display 3, even if the calculation formula is modified, it is possible to identify and display the formula portion having the same value more easily. Even if these mathematical formula parts overlap each other, the equivalent mathematical formula parts can be easily identified and displayed.

  In addition, it is needless to say that the detailed configuration and detailed operation of each component of the scientific calculator 1 in the above embodiment can be appropriately changed without departing from the gist of the present invention.

  For example, the mathematical expression display device according to the present invention has been described as the scientific calculator 1, but those to which the present invention can be applied are not limited to such products, but are mobile phones, personal computers, PDAs (Personal Digital Assistants), game machines. It can be applied to all electronic devices. The mathematical expression display processing program 122 according to the present invention may be stored in a memory card, a CD, or the like that can be attached to and detached from the scientific calculator 1.

As mentioned above, although several embodiment of this invention was described, the scope of the present invention is not limited to the above-mentioned embodiment, The range of the invention described in the claim, and its equivalent range Including.
The invention described in the scope of claims attached to the application of this application will be added below. The item numbers of the claims described in the appendix are as set forth in the claims attached to the application of this application.
[Appendix]
<Claim 1>
Formula display means for displaying formulas including parentheses or functions,
Formula part detection means for detecting a formula part enclosed in parentheses or a formula part of a function from the formula,
Formula part storage means for storing the formula part detected by the formula part detection means;
Of the calculation formulas, the formula part stored in the formula part storage means, and the formula part identification display control means for displaying each formula part having the same value in the formula part in the same display form,
A mathematical expression display device comprising:
<Claim 2>
The mathematical formula display device according to claim 1,
The calculation formula is
A mathematical expression display device which is an input expression input by a user operation or a modified expression input by a user operation by modifying the input expression.
<Claim 3>
In the mathematical expression display device according to claim 1 or 2,
The mathematical expression part detecting means includes
From the above formula, detect the formula part connected to the variable with an equal sign,
The mathematical formula partial storage means includes
When the mathematical expression part connected to the variable by an equal sign is detected by the calculation expression detection means, the mathematical expression part and the variable are stored in association with each other,
The mathematical expression partial identification display control means includes:
When the formula part and the variable are stored in association with each other in the calculation formula storage means, the formula part, the variable, and each formula part having the same value in the formula part are displayed in the same display form. A mathematical expression display device.
<Claim 4>
In the mathematical expression display device according to any one of claims 1 to 3,
The calculation formula display means includes
Display the calculation formula in a natural display format,
The same display form is a display form in which a display target is surrounded by a frame of the same color.
<Claim 5>
In the mathematical expression display device according to any one of claims 1 to 4,
The mathematical expression part detecting means includes
A mathematical expression display device that detects a fraction as a mathematical expression part when a fraction having addition or subtraction in a numerator or denominator is included in the calculation expression.
<Claim 6>
In a computer having a calculation formula display means for displaying a calculation formula including parentheses or a function,
A formula part detection function for detecting a formula part enclosed in parentheses or a formula part of a function from the formula,
Formula part storage function for storing the formula part detected by the formula part detection function;
Among the calculation formulas, the formula part identification display control function for displaying the formula part stored by the formula part storage function and each formula part having the same value in the formula part in the same display form;
A program characterized by realizing.

1 Scientific calculator 2 Input key group 3 Display 11 CPU
12 memory 14 input unit 15 display unit 17 recording medium reading unit 17A external information storage medium 120 formula partial storage area 121 input data storage area 122 formula display processing program

Claims (7)

A display unit;
A calculation formula display control means for Ru display the calculation formula on the display unit,
Formula part variable storage means for storing the formula part and the variable in association with each other when the calculation formula is a substitution formula for the variable and formula part;
Formula part detection means for detecting a formula part including a part enclosed in parentheses from the formula,
Formula part storage means for storing the formula part detected by the formula part detection means;
Wherein among the formulas, and it remembers been mathematical expression part into the equation partial storage means and each formula moiety by replacing part of the mathematical expression part in the variable of the substituent formula, formulas partial identification to be displayed in the same display form Display control means;
A mathematical expression display device comprising: The mathematical formula display device according to claim 1,
Among the calculation formulas, the formula part stored in the formula part variable storage means, and a variable formula part identification display control means for displaying the variable stored in association with the formula part in the same display form,
A mathematical expression display device. In the mathematical expression display device according to claim 1 or 2,
The formula part identification display control unit superimposes each formula part stored in the formula part storage unit and each formula part obtained by replacing a part of the formula part with a variable of the replacement formula, respectively, and displays the same part respectively. A mathematical expression display device characterized by being displayed in a form . In the mathematical expression display device according to any one of claims 1 to 3,
The calculation formula display control means includes:
The formula is displayed in a natural display format,
The same display form is a display form in which a display target is surrounded by a frame of the same color. In the mathematical expression display device according to any one of claims 1 to 4,
The mathematical expression part detecting means includes
A mathematical expression display device that detects a fraction as a mathematical expression part when a fraction having addition or subtraction in a numerator or denominator is included in the calculation expression. In the mathematical expression display device according to any one of claims 1 to 5,
The formula part detection means detects a formula part enclosed in parentheses or a formula part of a function from the calculation formula,
The same display form is a display form for displaying a display object with the same color or the same underline.
A mathematical expression display device. Viewing unit to a computer having,
A calculation formula display control function for displaying a calculation formula on the display unit;
A formula part variable storage function for storing the formula part and the variable in association with each other when the calculation formula is a substitution formula of a variable and a formula part;
A formula part detection function for detecting a formula part including a part enclosed in parentheses from the formula,
Formula part storage function for storing the formula part detected by the formula part detection function;
Wherein among the formulas, the stored mathematical expression part by the equation partial storage function, and each formula moiety by replacing part of the mathematical expression part in the variable of the substitution expression, mathematical expression part identification to be displayed in the same display form Control function,
A program characterized by realizing.

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