JP2000122980A - Calculating device and storage medium - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a calculating device which can calculate/display the solution of an equation as an expression shown by a character variable by inputting the character variable or the expression containing the character variable to the coefficient of the equation and to provide a storage medium. SOLUTION: A CPU 11 in a computer 1 executes an equation processing. When an equation is inputted from an input part 3, a CPU 2 detects a variable contained in the inputted equation and displays it on a display part 4. When the values of the respective variables constituting the equation are inputted, the CPU 2 discriminates whether the character variable or the expression using the character variable exists in any value of the inputted variables. When the character variable or the expression using the character variable exists, the CPU 2 substitutes the values of the respective variables in the inputted equation for the variables and calculates a solution by using the expression processing. When the calculated solution is the expression containing the character variable, the CPU 2 displays the expression on the prescribed position of the display part 4 as the solution.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a computing device and a storage medium, and more particularly, to a computing device for calculating a solution of an equation by inputting an equation and coefficients of the equation, and a storage for storing the computation program. Regarding the medium.

[0002]

2. Description of the Related Art Among high-performance calculators such as calculators and scientific calculators, a function for displaying a graph of an input function and a function for calculating complex numbers and calculus are added. There is something.

One of the functions of such a computing device is as follows:
There is a function to calculate equations. The function of calculating the equation is a function of calculating the solution by using a numerical analysis method such as Newton's method or Cardano method after the equation and the coefficient of each term of the equation are input by the user. . On the other hand, the calculation method of an equation originally performed by a human is a calculation method according to the equation, for example, if it is a simultaneous equation, there is a calculation using a matrix, and if it is an equation of order n (n is any positive integer) For example, there is a calculation method performed by factorization, substitution of a solution into a formula, or the like.

As described above, the calculation method for obtaining the solution of the equation is different between the calculation device and the human, although the input method and the algorithm are different. However, the calculation device performs complicated processing that should be performed by a human. Have been.

[0005] Further, in recent computing devices, a technique called mathematical formula processing has been used. Conventional computing devices perform convergence calculations on solutions using numerical analysis such as Newton's method,
Since the converged approximate value was used as the solution, calculation was possible only with numerical values. On the other hand, the mathematical formula processing is a calculation in which a mathematical formula is processed as it is on a computing device, and this technology conventionally uses a numerical value in a computing device that can only calculate a numerical value. You can enter a character variable instead of and display the character variable in the solution. For this reason,
If a conventional computer for displaying numerical values would be engineering-practical, the computer for performing mathematical processing would be considered educational because it complies with the notation in textbooks, and scientific calculators are widely used in the educational community. In recent years, it has been thought that in the near future, scientific calculators will be of the type that displays solutions in text.

[0006]

However, this mathematical processing is not limited to simple arithmetic operations, but is performed by using a numerical analysis such as the calculation of equations in the functions of a conventional computer. Since these functions are not applied to so-called high-performance calculations, there are only those functions which calculate a solution only for numerical values and display the calculated solution numerically. Therefore, when calculating the solution of the equation, it is not possible to perform a process of inputting a character variable instead of a numerical value to the coefficient of the equation or the like and displaying the solution while leaving the character variable in the solution. In the world and the like, it has been desired to be put to practical use at an early stage.

SUMMARY OF THE INVENTION An object of the present invention is to provide a calculation apparatus and a storage device capable of calculating and displaying a solution of an equation as a mathematical expression represented by a character variable by inputting a character variable or a mathematical expression including a character variable as a coefficient of the equation. Is to provide a medium.

[0008]

The present invention has the following features in order to achieve the above object. Reference numerals and the like assigned to each element are reference numerals and the like in the drawings described later.

According to a first aspect of the present invention, there is provided a computing device for calculating a solution of an equation by inputting an equation and coefficients of each term of the equation, wherein a storage means for storing equation data including the coefficients (FIG. 1) 7; S1 in FIG. 3, input means (3 in FIG. 1, S4 in FIG. 3) for inputting a character variable or a mathematical expression including a character variable as a coefficient of the equation data stored by the storage means, Calculating means (2 in FIG. 1; S8 in FIG. 3) for substituting a character variable or a mathematical expression including a character variable into the coefficient, and calculating a solution of the equation as a mathematical expression based on the character variable based on the coefficient. To S9) and display means (4 in FIG. 1; S10 in FIG. 3) for displaying the mathematical formula calculated by the calculating means as a solution of the equation.

According to the first aspect of the present invention, in the calculation device for calculating the solution of the equation by inputting the equation and the coefficient of each term of the equation, the storage means stores the equation data including the coefficient. The input unit inputs a character variable or a mathematical expression including a character variable as a coefficient of the equation data stored by the storage unit, and then the calculating unit includes the character variable or the character variable input by the input unit. A formula is substituted for the coefficient, and a solution of the equation is calculated as a formula based on the character variable based on the coefficient, and the display unit displays the formula calculated by the calculating unit as a solution of the equation.

According to a fifth aspect of the present invention, there is provided a storage medium storing a computer-executable program for calculating an equation solution by inputting an equation and coefficients of each term of the equation, A computer-executable program code for storing equation data including the coefficient, and a computer-executable program code for inputting a character variable or a mathematical expression including a character variable as a coefficient of the stored equation data And a computer-executable program code for substituting the input character variable or a mathematical expression including the character variable for the coefficient, and calculating a solution of the equation as the mathematical expression based on the character variable based on the coefficient. A computer-executable program for displaying the calculated formula as a solution to the equation And Mukodo, that stores a program including are characterized.

According to the fifth aspect of the present invention, there is provided a storage medium storing a computer-executable program for calculating an equation solution by inputting an equation and coefficients of each term of the equation. By executing the program stored in the storage medium, the computer stores equation data including the coefficient, and a character variable or a mathematical expression including a character variable is input as a coefficient of the stored equation data. And the input character variable or a mathematical expression including the character variable is substituted for the coefficient, and based on the coefficient, a solution of the equation is calculated as a mathematical expression based on the character variable. Display as a solution.

Therefore, according to the first and fifth aspects of the present invention, it is possible to input an equation, a character variable other than a numerical value to be substituted for a coefficient of each term of the equation, and a mathematical expression using a character variable. Even when a mathematical expression represented by a character variable other than a numerical value is a solution to the above equation, the mathematical expression represented by the character variable can be calculated and displayed as a solution, similar to a human calculation result. In addition, it is possible to provide a highly practical computing device and a storage medium that can obtain more easily understandable results.

According to a second aspect of the present invention, in the computing device according to the first aspect, the equations are constituted by simultaneous equations, and the calculating means expands the simultaneous equations as a determinant, and Is substituted as an element of the determinant, a solution of the equation is calculated by performing an inverse matrix operation, and the display means is configured to display the solution calculated by the calculation means as a determinant. Is also good.

According to the second aspect of the present invention, the equation is a simultaneous equation, and the coefficients of each term of the simultaneous equation are:
By inputting a character variable other than a numerical value or a mathematical expression using a character variable, it is possible to provide a calculation device capable of calculating and displaying a mathematical expression represented by a character variable other than a numerical value as a solution of a simultaneous equation.

Further, as in the invention described in claim 3, in the invention described in claim 1, the equation is constituted by a quadratic equation or a cubic equation, and the calculating means calculates the coefficient by the quadratic equation or the quadratic equation. The solution of the equation is calculated by substituting into the formula of the solution of the cubic equation, and the display means comprises:
Further, a configuration may be adopted in which the formula of the solution in which the coefficient is substituted by the calculating means is displayed.

According to the third aspect of the present invention, the equation is defined as a quadratic equation or a cubic equation.
By inputting a character variable other than a numerical value or a mathematical expression using a character variable into the coefficient of each term of the following equation, substituting the coefficient into the formula of the solution of the quadratic equation or the cubic equation, and expressing the coefficient in the text variable It is possible to provide a calculation device that can calculate and display the calculated mathematical expression as a solution of a quadratic equation or a cubic equation.

According to a fourth aspect of the present invention, in the first aspect of the invention, the equation is formed by a cubic equation, and the calculating means is configured to execute the calculation based on the coefficient input by the input means. The solution of the equation may be calculated by factorizing a cubic equation, and the display unit may further display the factorization formula calculated by the calculation unit.

According to the fourth aspect of the present invention, the solution of the cubic equation can be displayed as an equation obtained by performing the factorization. It is possible to realize a highly practical computing device that allows the user to understand what mathematical formula is obtained.

[0020]

Embodiments of the present invention will be described below in detail with reference to the drawings. (First Embodiment) FIGS. 1 to 3 are diagrams showing an example of a computer 1 according to a first embodiment of the present invention.

First, the configuration will be described. FIG. 1 is a block diagram illustrating a main configuration of a computing device 1 according to the present embodiment. When the equation and the value of each variable constituting the equation are input to the input unit 3 and the variable for which the solution is to be determined is specified, the variable specified based on the value of each input variable is input to the input unit 3. Is calculated and displayed. When the value of each input variable is not a numerical value but a character variable or a mathematical expression including a character variable, the calculation device 1 calculates the solution of the designated variable as a mathematical expression using a mathematical expression process. -It is a device to display.

In FIG. 1, a computing device 1 has a CPU
2, input unit 3, display unit 4, drive circuit 5, ROM 6, RA
M7, storage device 8 and storage medium 9.

CPU (Central Processing Unit) 2
Is a system program stored in the storage medium 9 in the storage device 8, an equation processing program and a mathematical expression processing program stored in the ROM 6, and an application program specified from various application programs corresponding to the system. It is stored in a program storage area (not shown) in the RAM 7. Also, CPU2
Temporarily stores various instructions or data input from the input unit 3 in a work memory area in the RAM 7, and stores the various instructions or data in the RAM 7 in accordance with the input various instructions and input data.
Alternatively, various processes are executed in accordance with an application program stored in the storage medium 9, and the processing results are stored in the RA.
It is stored in the work memory area in M7 and is output to the drive circuit 5 and displayed on the display unit 4. And RAM
The processing result stored in the work memory area in the storage device 7 is stored in the storage destination of the storage medium 9 in the storage device 8 designated by the input unit 3.

When the CPU 2 receives a push signal for executing the equation processing described later from the input unit 3, the CPU 2 reads the equation processing program stored in the ROM 6, and
In addition to the equation processing stored in the AM 7, the following equation processing (see FIG. 3) is executed in accordance with the read equation processing program. When an equation is input from the input unit 3, the CPU 2 detects a variable included in the input equation, displays the variable on the display unit 4, and further inputs a value of each variable displayed from the input unit 3. When a variable for which a solution is to be obtained is specified, a solution for the specified variable is obtained based on the value of each input variable.

At this time, it is determined whether the value of each input variable is a numerical value or a character variable or a mathematical expression using a character variable.
If at least one is input, the CPU 2 reconstructs the equation based on the input character variable and the expression using the character variable, and solves the specified variable by performing a mathematical process. It is calculated as an equation. This mathematical processing is, as described above, on a computer, similar to a calculation performed by a human,
This is a calculation in which a mathematical expression is processed as it is. Since this is a conventional technique, detailed description is omitted.

The input unit 3 includes an execution key for starting the execution of the equation processing executed by the CPU 2, a numeric key and an alphabet key for inputting an equation, an arrow key for designating a variable for obtaining a solution, and the like. The CPU 2 outputs a key press signal to the CPU 2 in response to a user's input operation of each key.

The drive circuit 5 outputs, to the display unit 4, input data and the like input from the input unit 3 as display signals, in addition to data and processing results relating to the equation processing executed by the CPU 2. It is displayed at a predetermined display position. The display unit 4 is configured by a liquid crystal display or the like, and displays various data according to a display signal input from the drive circuit 5.

A ROM (Read Only Memory) 6 has a CPU
2 is executed when the computing device 1 is started up.
ial Program Loader), an equation processing program, an equation processing program, as well as initial settings of various data related to an IPL program, an equation processing program, and the like. RAM (Random Access Memory) 7 is C
A program storage area for storing an equation processing program and various application programs executed by the PU 2 and a work memory area for storing various data and the like processed during execution by the CPU 2 are formed.

The storage device 8 has a storage medium 9 in which programs, data and the like are stored in advance, and this storage medium 9 is constituted by a magnetic or optical storage medium or a semiconductor memory. The storage medium 9 is fixedly provided in the storage device 8 or is detachably mounted. The storage medium 9 includes various application programs corresponding to the calculation device 1 and calculation processing executed by the CPU 2. And processing results related to various processes.

Here, in the equation processing executed by the CPU 2, the equations input from the input unit 3 and displayed on the display unit 4, the values of the variables of the equations, and the processing results of the equation processing are shown in FIG. It will be described using FIG. FIG. 2 is a diagram showing an example of a display screen of the display unit 4 when an ideal gas state equation is used as an equation in the equation processing.

First, FIG. 2A is a view showing an example of a display screen of the display unit 4 to which the equation of state of ideal gas "PV = nRT" is inputted. In FIG. 2A, the state equation “PV = nRT” of the ideal gas is input from the input unit 3, and the CPU 2 converts the equation into a display position 4 a of the display unit 4.
And “P”, “V”, “n”, “R”, and “T” are detected as variables included in the equation and displayed at the display position 4b of the display unit 4.

FIG. 2B is a diagram showing an example of a display screen on which the values of the variables have been input. In FIG. 2B, “a” is assigned to “P” and “a / 2” is assigned to “V” as the value of each variable.
, "0.082" is input to "R", "273" is input to "T", and "Estimating" is input to "n" to indicate a variable for which a solution is to be obtained. 4b. Here, the values of the variables input to "P" and "V" are not numerical values but are character variables and mathematical expressions using character variables. When the CPU 2 detects that the character variable or a mathematical expression using the character variable is input, the CPU 2 substitutes the value of each input variable into the variable to reconstruct the equation “PV = nRT” and perform the mathematical processing. Then, a solution of “n” specified as a variable for which a solution is to be obtained is calculated.

FIG. 2C is an example of a display screen showing the result of performing the equation processing by the CPU 2. CPU2
Since a character variable and an expression using the character variable are input to “P” and “V”, the result is calculated by performing mathematical processing. As a result, the CPU 2 calculates the expression “a ² /
44.772 ”is displayed at the display position 4c of the display unit 4 as the solution of“ n ”. The display position 4b in FIG.
In the column where “Estimating” is entered as the value of “n”, the result is displayed as “n = 0.223353a ² ”.

Next, the operation will be described. Referring to FIG.
The operation of the equation processing executed by the PU2 will be described.
FIG. 3 shows C in the computing device 1 according to the first embodiment.
It is a flowchart of the equation process performed by PU2.

First, when a key input signal for starting equation processing is input from the input section 3, the CPU 2 reads out an equation processing program stored in the ROM 6, and reads out the equation processing program from the RAM 6.
7 and starts the equation processing according to the equation processing program. And
When an equation is input from the input unit 3 (step S1), the CPU 2 stores the input equation in the work memory area of the RAM 7, detects a variable included in the equation (step S2), and stores the detected variable in the equation. It is displayed at a predetermined position on the display unit 4 (step S3).

After the values of the variables of the equation are input by the user (step S4), the CPU 2 stores the input values of the variables in the work memory area of the RAM 7, and the values of all the variables are input. It is determined whether or not it has been performed (step S5). If the values of all the variables have not been input, the CPU 2 returns to step S4, and if the values of all the variables have been input, the variable in which “Estimating” has been input as the specification of the variable for which the solution is to be obtained. It is determined whether or not there is (step S6). Then, if there is a designation of a variable for which a solution is to be obtained, the CPU 2 reads the value of each variable input in step S4 from the work memory area of the RAM 7 and inputs a character variable or a mathematical expression using the character variable. Is determined (step S7).

If there is a variable in which a character variable or a mathematical expression using the character variable is input, the CPU 2
Reads the equation input in step S1 from the work memory area of the RAM 7, and substitutes the input character variables for the variables to reconstruct the equations (step S8). Then, the CPU 2 executes a mathematical process on the variable for which the specified solution is to be obtained, and calculates the solution of the variable (step S9). Then, after calculating the solution of the designated variable, the CPU 2 displays the solution of the variable at a predetermined position on the display unit 4 (Step S10). At this time, if the solution of the designated variable is a mathematical expression including a character variable, the CPU 2 displays the mathematical expression as a solution at a predetermined position on the display unit 4.

In step S6, the CPU 2
If no variable for which a solution is to be specified is specified, an error message is displayed on the display unit 4 or a message prompting re-input of the value of each variable is displayed (step S12), and the process proceeds to step S4.

In step S7, the CPU 2
If it is determined in step S4 that no character variable has been input to any of the input variable values, the process waits for input as to whether to use numerical analysis as a solution calculation method ( Step S13) If there is a designation to perform the numerical analysis, the CPU 2 performs a numerical analysis using the Newton method as a normal processing method to obtain a solution.
The equation processing ends, and the processing shifts to normal processing. Also,
If an input not to perform numerical analysis is entered, the CPU
2, the process proceeds to step S8, and the solution is calculated using the mathematical formula processing.

After the solution is displayed, if an input to perform recalculation is made (step S11), the CPU 2
The process proceeds to step S1, and from step S1 to step S1.
The processing up to 13 is repeatedly executed. If there is no instruction input for recalculation, the CPU 2 ends the equation processing.

As described above, in the computing device 1 according to the first embodiment, the CPU 2 in the computing device 1 executes the equation processing, and when an equation is input from the input unit 3, C
The PU 2 detects a variable included in the input equation and displays it on the display unit 4. When the values of the variables constituting the equation are input, the CPU 2 determines whether any of the input values of the variables includes a character variable or a mathematical expression using the character variable. If there is a character variable or a mathematical expression using the character variable, the CPU 2 substitutes the value of each variable of the input equation for the variable,
Calculate the solution using mathematical processing. Then, the CPU 2
If the calculated solution is a mathematical expression including a character variable, the mathematical expression is displayed at a predetermined position on the display unit 4 as a solution.

Accordingly, by inputting an equation and inputting / substituting a character variable other than a numerical value or a mathematical expression using a character variable into the value of a variable constituting the equation, and performing mathematical processing, the character variable other than a numerical value is obtained. Even when the mathematical formula represented by is a solution, the mathematical formula represented by the character variable can be calculated and displayed as a solution, and it is possible to obtain a more intuitive result similar to the human calculation result. It is possible to realize a highly practical computing device.

(Second Embodiment) Next, a computing device according to a second embodiment will be described. The main configuration of the computing device according to the second embodiment is the same as the main configuration of the computing device 1 according to the first embodiment. The description will be made using the same reference numerals as those of the main part. Further, the difference from the first embodiment is that it is executed by the CPU 2 in the computing device 1.
Since this is simultaneous equation processing (see FIG. 5), this processing will be described in detail with reference to FIGS.

First, an outline of the simultaneous equation processing executed by the CPU 2 will be described with reference to FIG. FIG.
5 is a diagram showing an example of a display screen of the display unit 4 of the simultaneous equation processing executed by the CPU 2. FIG.

FIG. 4A shows a simultaneous equation “ax + by +
It is a figure which shows the example of a display screen on which "c = 0" was displayed. FIG.
In (a), when the user inputs to the input unit 3 to execute the simultaneous equation processing, the CPU 2 displays the simultaneous equation “ax + by + c = 0” at the display position 4 on the display unit 4.
1a.

After the simultaneous equations are displayed, the CPU 2
Each term “ax” of the simultaneous equations “ax + by + c = 0”,
Coefficients "a", "b", "by", "c"
An input screen for inputting the value of [c] as a matrix is displayed on the display unit 4
Is displayed at the display position 41b. By inputting the coefficients of each term as a determinant, it is possible to easily input a plurality of equations such that the first row of the determinant is the first equation and the second row is the second equation. FIG. 4B is a diagram illustrating an example of an input screen for inputting coefficients of each term of the simultaneous equations. In FIG. 4B, the coefficient of each term of the simultaneous equations is
As described above, it is input as a determinant, and as shown in the display position 41b of the display unit 4, in the first row, “2s” is replaced by “a”,
“3s” is input to “b” and “2” is input to “c”. In the second line, “3” is input to “a”, “4s” is input to “b”, and “c” is input.
"5s" is input and displayed.

Here, the CPU 2 determines whether or not there is a character variable or a mathematical expression using the character variable in the input coefficient values of each term. In FIG. 4B, input of a character variable or a mathematical expression using a character variable is performed for each coefficient of “a” and “b” on the first line and “b” and “c” on the second line. Therefore, the CPU 2 calculates the solution of the simultaneous equations by performing the inverse matrix calculation of the matrix input as the value of the coefficient using the mathematical formula processing.

FIG. 4C is an example of a screen displaying the result of the simultaneous equation processing performed by the CPU 2. CPU
In No. 2, since a character variable or a mathematical expression using a character variable was input as the value of the coefficient of each term of the simultaneous equation, the solution of the simultaneous equation was calculated using mathematical processing. As a result, CP
U2 is a display position 41c of the display unit 4 as a solution of the following equation (1) to “x” and the following equation (2) to “y” in FIG.
To be displayed. (15s-8) / (9-8s ) ... (1) (10s 2 -6) / (8s 2 -9s) ... (2)

Next, the operation will be described. Referring to FIG.
The operation of simultaneous equation processing executed by PU2 will be described. FIG. 5 is a flowchart of the simultaneous equation processing executed by the CPU 2 in the computing device 1 according to the second embodiment.

First, when the CPU 2 inputs a key input signal for starting simultaneous equation processing from the input unit 3,
Is read out and stored in the program storage area of the RAM 7,
The simultaneous equation processing is started according to the simultaneous equation processing program. Then, the CPU 2 displays a screen for inputting the simultaneous equations and the coefficients of each term of the simultaneous equations on the display unit 4 (step S101).

Then, when the user inputs the coefficients of the respective terms of the simultaneous equations from the input unit 3 (step S10).
2), the CPU 2 determines whether or not coefficients of all terms have been input (step S103). If the coefficients of all the terms have not been input, the CPU 2 repeats the processing of steps S102 to S103 until the coefficients of all the terms are input. Then, after determining that the coefficients of all the terms have been input, the CPU 2 determines whether any of the input coefficients includes a character variable or a mathematical expression using a character variable (step S104).

If it is determined that any of the input coefficients includes a character variable or a mathematical expression using the character variable, the CPU 2 performs the mathematical processing using the value of the input coefficient as a matrix element. (Step S)
105). Then, the CPU 2 calculates the solution of the simultaneous equations by the inverse matrix calculation (step S106), and displays the calculated solution on the display unit 4 (step S107). On this occasion,
The solution is displayed as a determinant, and if the solution is a mathematical expression using a character variable, the mathematical expression is displayed as it is.

In step S104, if a character variable or a mathematical expression using a character variable is not input as a coefficient value, that is, if only a numerical value is input, the CPU 2 terminates the simultaneous equation processing. Then, the processing shifts to the processing for performing the normal simultaneous equation calculation.

After the solution is displayed in step S107, an input to perform recalculation is made (step S107).
108), the CPU 2 moves to step S101,
The processing from step S101 to step S108 is repeatedly executed. When there is no instruction input for recalculation, the CPU 2 ends the simultaneous equation processing.

As described above, the calculation device 1 according to the second embodiment executes the simultaneous equation processing by the CPU 2 and displays the input screen for inputting the simultaneous equations and the coefficients of each term of the simultaneous equations on the display unit 4. To be displayed. When the value of the coefficient of each term of the simultaneous equations is input from the input unit 3, the CPU 2
Determines whether a character variable or a mathematical expression using a character variable is input in the value of the input coefficient, and when a character variable or a mathematical expression using the character variable is input, the input is performed. The solution of the simultaneous equations is calculated by performing the inverse matrix calculation using the numerical value processing with the value of the coefficient of each term as a matrix element. Then, the calculated solution is displayed on the display unit 4. At this time, even when the solution is a mathematical expression using a character variable, the CPU 2 displays the mathematical expression on the display unit 4.

Therefore, the coefficient of each term of the simultaneous equations is
By inputting a character variable other than a numerical value or a mathematical expression using a character variable, even if a mathematical expression represented by a character variable other than a numerical value is a solution, the solution of the simultaneous equation is calculated using the mathematical expression as a solution. A computing device capable of displaying can be realized.

In the second embodiment, the variables of the simultaneous equations are "x" and "y". However, the present invention may be applied to a simultaneous equation composed of three or more variables. Alternatively, the configuration may be such that the simultaneous equations themselves can be input or defined.

(Third Embodiment) Next, a description will be given of a computer according to a third embodiment. The main configuration of the computing device according to the third embodiment is the same as the main configuration of the computing device 1 according to the first embodiment. Therefore, the description is omitted, and the first embodiment is omitted. The description will be made using the same reference numerals as those of the main part. Further, the difference from the first embodiment is that it is executed by the CPU 2 in the computing device 1.
Since this is a quadratic equation process (see FIG. 7), this process will be described in detail with reference to FIGS.

First, an outline of the quadratic equation processing executed by the CPU 2 will be described with reference to FIG. FIG.
FIG. 4 is a diagram showing an example of a display screen of the display unit 4 in the quadratic equation processing executed by the CPU 2.

FIG. 6A shows a quadratic equation “ax ² + bx”.
FIG. 14 is a diagram illustrating an example of a display screen on which “+ c = 0” is displayed. In FIG. 6A, when the user inputs to the input unit 3 to execute the quadratic equation processing,
The following equation “ax ² + bx + c = 0” is displayed at the display position 42 a of the display unit 4.

After the quadratic equation is displayed, the CPU 2
Each term “ax ² ” of the quadratic equation “ax ² + bx + c = 0”,
The coefficients “a”, “b”,
An input screen for inputting the value of “c” is displayed on the display unit 4.
FIG. 6B is a diagram showing an example of an input screen for inputting the coefficients of each term of the quadratic equation as a determinant. In FIG. 6B, the coefficient of each term of the quadratic equation is represented by the display position 4 of the display unit 4.
As shown in FIG. 2b, “2s” is assigned to “a” and “3” is assigned to “b”.
"s" and "2" are input to "c".

Here, the CPU 2 determines whether or not there is a character variable or a mathematical expression using the character variable in the input coefficient values of each term. In FIG. 6B,
Since a mathematical expression using a character variable is input to the coefficients of “a” and “b”, the CPU 2 substitutes the value of each coefficient into the formula of the solution of the quadratic equation using mathematical processing. Calculate the solution of the quadratic equation.

FIG. 6C is an example of a screen displaying the result of performing the quadratic equation processing by the CPU 2. CPU
In No. 2, since a character variable or a mathematical expression using a character variable was input as the value of the coefficient of each term of the quadratic equation, the solution of the quadratic equation was calculated using mathematical processing. As a result, CP
U2 is the display position 4 of the display unit 4 as shown in FIG.
In 2c, the solution of the quadratic equation is displayed as a mathematical expression using character variables.

Next, the operation will be described. Referring to FIG.
The operation of the quadratic equation processing executed by the PU2 will be described. FIG. 7 is a flowchart of a quadratic equation process executed by the CPU 2 in the calculation device 1 according to the third embodiment.

First, when a key input signal for starting quadratic equation processing is input from the input unit 3, the CPU 2
Is read out and stored in the program storage area of the RAM 7,
The quadratic equation processing is started according to the quadratic equation processing program. Then, the CPU 2 displays a screen for inputting the quadratic equation and the coefficient of each term of the quadratic equation on the display unit 4 (step S201).

When the user inputs the coefficients of the terms of the quadratic equation from the input unit 3 (step S20)
2), the CPU 2 determines whether coefficients of all terms have been input (step S203). If the coefficients of all the terms have not been input, the CPU 2 repeats steps S202 to S203 until the coefficients of all the terms are input. After determining that the coefficients of all the terms have been input, the CPU 2 determines whether any of the input coefficients includes a character variable or a mathematical expression using a character variable (step S204).

If it is determined that any of the input coefficients includes a character variable or a mathematical expression using a character variable, the CPU 2 converts the value of the input coefficient to a secondary The solution is calculated by substituting into the formula of the solution of the equation and calculating (step S205), and the calculated solution is displayed on the display unit 4 (step S206). At this time, if the calculated solution is a mathematical expression using character variables,
The formula is displayed as it is.

In step S204, if a character variable or a mathematical expression using a character variable is not input as a coefficient value, that is, if only a numerical value is input, the CPU 2 terminates the quadratic equation processing. And normal 2
The process proceeds to the next equation calculation.

After displaying the solution in step S206, if an input to perform recalculation is made (step S206).
207), the CPU 2 proceeds to step S201,
The processing from step S201 to step S207 is repeatedly executed. If there is no instruction input for recalculation, the CPU 2 ends the quadratic equation processing.

As described above, the calculation device 1 according to the third embodiment executes the quadratic equation processing by the CPU 2, and uses a character variable or a character variable as a coefficient of each term of the quadratic equation. Is input, the solution is calculated and displayed by substituting the values of the coefficients of the above terms into the formula of the solution of the quadratic equation using mathematical processing.

Therefore, the coefficient of each term of the quadratic equation is:
When a character variable other than a numerical value or a mathematical expression using a character variable is input, even if the mathematical expression represented by the character variable other than the numerical value becomes a solution, the solution of the quadratic equation is calculated using the mathematical expression as a solution. -A computing device capable of displaying can be realized.

(Fourth Embodiment) Next, a computing device according to a fourth embodiment will be described. The main configuration of the computing device according to the fourth embodiment is the same as the main configuration of the computing device 1 according to the fourth embodiment. The description will be made using the same reference numerals as those of the main part. Further, the difference from the first embodiment is that it is executed by the CPU 2 in the computing device 1.
Since this is a cubic equation process (see FIG. 9), this process will be described in detail with reference to FIGS.

First, an outline of the cubic equation processing executed by the CPU 2 will be described with reference to FIG. FIG.
FIG. 5 is a diagram showing an example of a display screen of the display unit 4 in the cubic equation processing executed by the CPU 2.

FIG. 8A shows a cubic equation “ax ³ + bx ^2”.
+ Cx + d = 0 ”is a diagram showing an example of a display screen on which“ +0 ”is displayed. In FIG. 8A, when the user inputs to the input unit 3 to execute the cubic equation processing, the CPU 2
Displays the cubic equation “ax ³ + bx ² + cx + d = 0” at the display position 43 a of the display unit 4.

After the cubic equation is displayed, the CPU 2
Each term “a” of the cubic equation “ax ³ + bx ² + cx + d = 0”
An input screen for inputting the values of the respective coefficients “a”, “b”, “c”, and “d” of “x ³ ”, “bx ² ”, “cx”, and “d” is displayed on the display unit 4. FIG. 8B is a diagram showing an example of an input screen for inputting the coefficients of each term of the cubic equation as a determinant. In FIG. 8B, the coefficients of the terms of the cubic equation are “1” for “a”, “−s ² ” for “b”, and “c” as shown in the display position 43 b of the display unit 4. "To" -s "
However, “s ³ ” is input to “d”.

Here, the CPU 2 determines whether or not there is a character variable or a mathematical expression using the character variable in the input coefficient values of each term. In FIG. 8B,
Since mathematical expressions using character variables have been input to the coefficients of “b”, “c”, and “d”, the CPU 2 performs a factorization, a formula for solving a quadratic equation, The solution of the cubic equation is calculated using the formula of the solution of the following equation (the details of which method is used will be described later in the description of the operation of the cubic equation processing).

FIG. 8C is an example of a screen displaying the result of the cubic equation processing performed by the CPU 2. CPU
In No. 2, since a character variable or a mathematical expression using a character variable was input as the value of the coefficient of each term of the cubic equation, the solution of the cubic equation was calculated using mathematical processing. As a result, CP
U2 is the display position 4 of the display unit 4 as shown in FIG.
3c, the solution of the cubic equation is displayed as a mathematical expression using character variables.

Next, the operation will be described. Referring to FIG.
The operation of the cubic equation processing executed by the PU2 will be described. FIG. 9 is a flowchart of the cubic equation processing executed by the CPU 2 in the computing device 1 according to the fourth embodiment.

First, when the CPU 2 inputs a key input signal for starting the cubic equation processing from the input unit 3,
Is read out and stored in the program storage area of the RAM 7,
The cubic equation processing is started according to the cubic equation processing program. Then, the CPU 2 displays a screen for inputting the cubic equation and the coefficient of each term of the cubic equation on the display unit 4 (step S301).

When the coefficient of each term of the cubic equation is input from the input unit 3 by the user (step S30)
2), the CPU 2 determines whether coefficients of all terms have been input (step S303). If the coefficients of all the terms have not been input, the CPU 2 repeats the processing of steps S302 to S303 until the coefficients of all the terms are input. Then, after determining that the coefficients of all the terms have been input, the CPU 2 determines whether any of the input coefficients includes a character variable or a mathematical expression using the character variable (step S304).

If it is determined that any of the inputted coefficients includes a character variable or a mathematical expression using the character variable, the CPU 2 determines the value of the inputted coefficient by using the mathematical processing. And factorize the cubic equation (step S305). As a result, the CPU 2 determines whether the factorization could be performed (step S3).
06) If the factorization is successful, it is determined whether the factorized expression is a product of three linear expressions (step S30).
7). And if it is the product of three linear expressions, C
PU2 calculates the solution of the cubic equation from the calculated factorization equation (step S310).

If the cubic equation cannot be factored in step S306, the CPU 2 substitutes the input coefficient value into a formula for solving the cubic equation (step S308). Is calculated (step S310).

If the factorized expression is not the product of the three linear expressions in step S307,
PU2 determines that the factorized expression includes a quadratic expression, detects a quadratic expression of the factorized expression, and substitutes the quadratic expression into the formula of the solution of the quadratic equation. (Step S3
09), the solution of the cubic equation is calculated (step S310).

Then, the CPU 2 displays the calculated solution on the display unit 4 (Step S311). At this time, if the calculated solution is a mathematical expression using a character variable, the mathematical expression is displayed as it is.

In step S304, if a character variable or a mathematical expression using a character variable is not input as a coefficient value, that is, if only a numerical value is input, the CPU 2 terminates the cubic equation processing. And normal 3
The process shifts to a numerical analysis process using the Cardano method (a method of numerical analysis) as a process of performing the following equation calculation.

After displaying the solution in step S311, when an input to perform recalculation is made (step S311).
312), the CPU 2 proceeds to step S301,
The processing from step S301 to step S312 is repeatedly executed. If there is no instruction input for recalculation, the CPU 2 ends the cubic equation processing.

As described above, in the calculation device 1 according to the fourth embodiment, the CPU 2 executes the cubic equation processing, and uses a character variable or a mathematical expression using a character variable as a coefficient of each term of the cubic equation. Is input, a factorization is performed using mathematical processing, and the substitution of the solution of the quadratic equation into the formula is performed to calculate the substitution of the solution of the cubic equation into the formula.
Calculate and display the solution of the following equation.

Therefore, the coefficient of each term of the cubic equation is:
By inputting a character variable other than a numerical value or a mathematical expression using a character variable, even if a mathematical expression represented by a character variable other than a numerical value becomes a solution, a solution of the cubic equation is calculated using the mathematical expression as a solution. -A computing device capable of displaying can be realized.

In this embodiment, the solution is shown in FIG.
As shown in (c), it is displayed as a determinant.
As shown in FIG. 10, it may be displayed as an expression obtained by performing factorization. In this case, since the user can grasp what kind of formula is obtained when the factorization is performed, the calculation formula of the solution can be specifically displayed, and a highly practical calculation device can be provided. Can be realized.

[0090]

According to the first and fifth aspects of the present invention, an equation and a character variable other than a numerical value to be substituted for a coefficient of each term of the equation and a mathematical expression using a character variable are input. Thereby, even when a mathematical expression represented by a character variable other than a numerical value is a solution to the above equation, the mathematical expression represented by the character variable can be calculated and displayed as a solution, and the human calculation result and It is possible to provide a highly practical computing device and a storage medium capable of obtaining similar and more intuitive results.

According to the second aspect of the present invention, the equation is set as a simultaneous equation, and a character variable other than a numerical value or a mathematical expression using a character variable is input to the coefficient of each term of the simultaneous equation. A calculation device capable of calculating and displaying a mathematical expression represented by a character variable as a solution of a simultaneous equation can be provided.

According to the third aspect of the present invention, the equation 2
By inputting a character variable other than a numerical value or a mathematical expression using a character variable into the coefficient of each term of the quadratic or cubic equation as a quadratic or cubic equation, the solution of the quadratic or cubic equation It is possible to provide a calculation device capable of calculating and displaying a mathematical expression represented by a character variable as a solution of a quadratic equation or a cubic equation by substituting the coefficients into a formula.

According to the fourth aspect of the present invention, the solution of the cubic equation can be displayed as a factored equation, so that not only the solution of the cubic equation but also the factorized It is possible to realize a highly practical computing device that allows the user to grasp what kind of mathematical expression is to be obtained.

[0094]

[Brief description of the drawings]

FIG. 1 is a block diagram showing a main configuration of a computing device 1 according to a first embodiment.

FIG. 2A is a diagram showing an example of a display screen of a display unit 4 to which a state equation of an ideal gas is input in the first embodiment. FIG. 3B is a diagram illustrating an example of a display screen on which values of variables of an equation input as an equation of state of an ideal gas in the first embodiment are input. FIG. 3C is a diagram illustrating an example of a display screen as a result of performing the equation processing executed by the CPU 2 in the first embodiment.

FIG. 3 is a flowchart illustrating equation processing executed by a CPU 2 according to the first embodiment;

FIG. 4A is a diagram showing an example of a display screen on which simultaneous equations are displayed in the second embodiment. FIG. 9B is a diagram illustrating an example of an input screen for inputting coefficients of each term of a simultaneous equation according to the second embodiment. (C) The figure which shows the example of a display screen of the result of having performed simultaneous equation processing performed by CPU2 in 2nd Embodiment.

FIG. 5 is a flowchart illustrating simultaneous equation processing executed by a CPU 2 according to the second embodiment;

FIG. 6A is a diagram illustrating an example of a display screen on which a quadratic equation is displayed in the third embodiment. FIG. 13B is a diagram illustrating an example of an input screen for inputting coefficients of each term of a quadratic equation as a determinant in the third embodiment. (C) The figure which shows the example of a display screen of the result of having performed the quadratic equation process performed by CPU2 in 3rd Embodiment.

FIG. 7 is a flowchart illustrating a quadratic equation process executed by a CPU 2 according to the third embodiment;

FIG. 8A is a diagram illustrating an example of a display screen on which a cubic equation is displayed in the fourth embodiment. FIG. 17B is a diagram illustrating an example of an input screen for inputting coefficients of each term of a cubic equation in the fourth embodiment. (C) The figure which shows the example of a display screen of the result of having performed the cubic equation process performed by CPU2 in 4th Embodiment.

FIG. 9 is a flowchart illustrating a cubic equation process executed by the CPU 2 according to the fourth embodiment;

FIG. 10 is a diagram illustrating an example of a display screen displaying a result display of a cubic equation process executed by a CPU according to a fourth embodiment as an expression obtained by performing factorization.

[Explanation of symbols]

 DESCRIPTION OF SYMBOLS 1 Computing device 2 CPU 3 Input part 4 Display part 5 Drive circuit 6 ROM 7 RAM 8 Storage device 9 Storage medium

Claims (5)

[Claims] 1. A calculating device for calculating a solution of an equation by inputting an equation and a coefficient of each term of the equation, a storage means for storing equation data including the coefficient, and an equation stored by the storage means An input means for inputting a character variable or a mathematical expression including a character variable as a coefficient of data, and a character variable or a mathematical expression including a character variable input by the input means is substituted for the coefficient, and based on the coefficient, A calculation device comprising: calculation means for calculating a solution as a mathematical expression using the character variable; and display means for displaying the mathematical expression calculated by the calculation means as a solution to the equation. 2. The system according to claim 1, wherein the equation is constituted by a simultaneous equation. The calculating means expands the simultaneous equation as a determinant, substitutes the coefficient as an element of the determinant, and performs an inverse matrix operation. The calculation device according to claim 1, wherein a solution of the equation is calculated, and the display unit displays the solution calculated by the calculation unit as a determinant. 3. The equation is constituted by a quadratic equation or a cubic equation, and the calculating means calculates a solution of the equation by substituting the coefficient into a formula of a solution of the quadratic or cubic equation. The calculation device according to claim 1, wherein the display unit further displays a formula of a solution to which the coefficient has been substituted by the calculation unit. 4. The equation is constituted by a cubic equation, and the calculating means calculates a solution of the equation by factorizing the cubic equation based on a coefficient input by the input means. 2. The calculation device according to claim 1, wherein the display unit further displays the equation of the factorization calculated by the calculation unit. 5. A storage medium storing a computer-executable program for calculating a solution of an equation by inputting an equation and coefficients of each term of the equation, wherein the equation data including the coefficients is stored. A computer-executable program code, a computer-executable program code for inputting a character variable or a mathematical expression including a character variable as a coefficient of the stored equation data, and the input character variable Alternatively, a computer-executable program code for substituting a mathematical expression including a character variable into the coefficient, and calculating a solution of the equation as a mathematical expression based on the character variable based on the coefficient, and applying the calculated mathematical expression to the equation A computer-executable program code for displaying as a solution of Storage medium characterized by storing a ram.