JP2006048110A - Arithmetic control unit and program - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To realize a convenient arithmetic control unit for associating a displayed geometric figure or formula with a table for spreadsheet, and for performing the change and working of data related to the geometric figure or data related to the formula on the chart. <P>SOLUTION: A function calculator analyzes a first electronic teaching material program 721, displays a polygon being one type of the geometric figure and a formula using variables expressing the geometric characteristics with the numerics on a teaching material picture 501, and also displays the table for the spreadsheet on a display picture 503. Then, when a link operation for associating the polygon with the table is detected, the values of the variables expressing the geometric characteristics of the polygon are inputted to a line 503a in the table and displayed, so that the working of the data related to the geometric figure is performed on the table. <P>COPYRIGHT: (C)2006,JPO&NCIPI

Description

  The present invention relates to an arithmetic control device and a program.

  Conventionally, there have been scientific calculators equipped with geometric functions for drawing various geometrical figures represented by polygons and circles, and calculation functions for performing various operations such as differentiation and integration. It is used for engineering calculations of engineers in companies. As one of such scientific calculators, various calculations and graphs are created according to numerical expressions for the function formulas and variables in the function formulas entered by the user, and elements that change as the graphs are created (for example, What is displayed on a display part with the intersection of a graph is known (for example, patent document 1).

  In particular, recently, an electronic teaching material program for learning purposes (hereinafter referred to as “electronic teaching material” as appropriate) that can be executed on a scientific calculator using the above-described geometric function and calculation function has been developed. By executing this electronic teaching material, the user can operate while looking at the display screen of the scientific calculator, and can advance learning of geometry and the like at his / her own pace.

On the other hand, there is a spreadsheet function for creating a table based on a plurality of numerical data as one of convenient functions provided in a conventional scientific calculator. This spreadsheet function creates and displays a table in which numeric data is entered in a cell-like area when multiple numeric data are input by the user, and various types of data such as pie charts and band graphs are created according to the created table. It is a function that draws a graph.
JP-A-11-184820

  However, the spreadsheet function provided by the conventional scientific calculator is completely independent from the various functions realized by the electronic teaching materials described above, and it is possible to draw a table or graph based on numerical data input by the user. It was only a function to do. For this reason, for example, based on the data (for example, each angle in a polygon) drawn in an electronic teaching material and the calculated data (for example, the differential / integral value of a function), It was impossible to use the data used in other than the spreadsheet function, such as creating a table and displaying it, in the spreadsheet function.

  The present invention has been made in view of such problems, and the object of the present invention is to make it possible to associate a displayed geometric figure or mathematical expression with a table for spreadsheet calculation, It is to realize an easy-to-use arithmetic and control device that makes it possible to change and process data related to mathematical formulas on the table.

In order to solve the above problems, an arithmetic and control unit according to claim 1 is:
Graphic display control means (for example, CPU 20 in FIG. 2; step A13 in FIG. 8) for performing control to display a graphic and an expression using a variable that expresses a geometric property of a predetermined part of the graphic by the numerical value;
Table display control means (for example, CPU 20 in FIG. 2; step A27 in FIG. 8) for controlling display of a table for spreadsheet calculation;
Detection means (for example, CPU 20 in FIG. 2; step A29 in FIG. 8) for detecting an input of a predetermined association operation for associating the graphic display-controlled by the graphic display control means with the table controlled by the table display control means. )When,
Variable value display control means (CPU 20 in FIG. 2; steps A31 to A35 in FIG. 8) for performing control to display the value of the variable in the display-controlled table in response to detection by the detection means;
It is characterized by having.

The program according to claim 7 is:
On the computer,
A graphic display control function (for example, step A13 in FIG. 8) for performing control to display a graphic and an expression using a variable that expresses a geometric property of a predetermined part of the graphic by the numerical value;
A table display control function (for example, step A27 in FIG. 8) for controlling display of a table for spreadsheet,
A detection function (for example, step A29 in FIG. 8) for detecting an input of a predetermined associating operation for associating the graphic controlled by the graphic display control function and the table controlled by the table display control function;
A variable value display control function (for example, steps A31 to A35 in FIG. 8) for performing control to display the value of the variable in the display-controlled table in response to detection by the detection function;
It is characterized by realizing.

The invention according to claim 2 is the arithmetic and control unit according to claim 1,
The detection means includes a movement operation detection means (for example, the CPU 20; step A29 in FIG. 8) that detects an input of an operation for moving the display-controlled figure into the display-controlled table as the association operation. It is characterized by that.

The invention according to claim 3 is the arithmetic and control unit according to claim 1,
Graphic deformation means (for example, CPU 20 in FIG. 2; steps A47 and A49 in FIG. 8) for deforming the graphic display controlled by the graphic display control means in accordance with a deformation operation;
Second detection means (for example, CPU 20 in FIG. 2; FIG. 8) for detecting the input of the second association operation for associating the graphic deformed by the graphic deformation means with the table controlled by the table display control means. Step A57)
Variable value addition display control means for performing control to add the value of the variable related to the predetermined part of the graphic deformed by the graphic deformation means to the display-controlled table in response to detection by the second detection means. (For example, CPU 20 in FIG. 2; steps A63 and A65 in FIG. 8);
Is further provided.

The invention according to claim 4 is the arithmetic and control unit according to claim 1,
Graphic deformation means (for example, CPU 20 in FIG. 2; steps A47 and A49 in FIG. 8) for deforming the graphic display controlled by the graphic display control means in accordance with a deformation operation;
Variable value changing means (for example, CPU 20 in FIG. 2; steps A37 and A39 in FIG. 8) for changing the value of the variable controlled by the variable value display control means in accordance with a changing operation;
Control for updating the value of the variable controlled by the variable value display control means to a value related to the predetermined portion of the graphic deformed by the graphic deformation means; and the graphic controlled by the graphic display control means. The interlocking update control means (for example, the CPU 20 in FIG. 2; steps A41 to A45, steps A59, A61 in FIG. 8) that performs control to change the display according to the variable value changed by the variable value change means. When,
Is further provided.

The arithmetic and control unit according to claim 5 is:
Formula display control means (for example, CPU 20 in FIG. 2; step B7 in FIG. 25) for performing control to display formulas;
Table display control means (for example, CPU 20 in FIG. 2; step B21 in FIG. 25) for controlling display of a table for spreadsheet calculation;
Detection means (for example, CPU 20 in FIG. 2; step B23 in FIG. 25) for detecting an input of a predetermined association operation for associating the expression controlled by the expression display control means with the table controlled by the table display control means. )When,
Result display control means (for example, CPU 20 in FIG. 2; steps B27 to B31 in FIG. 25) for performing control to display the calculation result obtained by calculating the mathematical expression in the display-controlled table in response to detection by the detection means. When,
Changing means (for example, CPU 20 in FIG. 2; step B37 in FIG. 25) for changing the definition content of the variable used in the display-controlled mathematical formula;
In accordance with the contents changed by the changing means, the display-controlled mathematical expression is calculated, and the update result control means (for example, FIG. 2) performs control for updating the calculation result displayed by the result display control means with the calculation result. CPU 20; Steps B39 to B45 in FIG.
It is characterized by having.

The program according to claim 8 is:
On the computer,
Formula display control function (for example, step B7 in FIG. 25) for performing control to display formulas;
A table display control function (for example, step B21 in FIG. 25) for controlling display of a table for spreadsheet,
A detection function (for example, step B23 in FIG. 25) for detecting an input of a predetermined association operation for associating a mathematical expression display-controlled by the mathematical expression display control function with a table controlled by the table display control function;
A result display control function (for example, steps B27 to B31 in FIG. 25) for performing control to display the calculation result obtained by calculating the mathematical expression in the display-controlled table in response to detection by the detection function;
A change function (for example, step B37 in FIG. 25) for changing the definition content of the variable used in the display-controlled mathematical expression;
An interlock update control function (for example, in FIG. 25) that calculates the display-controlled mathematical expression according to the change contents by the change function and performs control to update the calculation result that is display-controlled by the result display control function with the calculation result. Steps B39 to B45)
It is characterized by realizing.

The invention according to claim 6 is the arithmetic and control unit according to claim 5,
The formula display control means is a formula multiple display control means (for example, CPU 20 in FIG. 2; steps B49 and B51 in FIG. 25) that displays a plurality of formulas that are the same formula and that have different definitions of variables of the formula. Have
The detection means detects a mathematical expression-related detection means (for example, the CPU 20 in FIG. 2) that detects an input of a mathematical expression-related operation for associating one of the mathematical expressions display-controlled by the multiple-expression display control means with the display-controlled table. Step B25) of FIG. 25;
The result display control means performs control for adding the calculation result of the mathematical expression designated by the detected mathematical expression association operation to the display-controlled table every time the mathematical expression detection means detects the result. It is characterized by having additional display control means (for example, CPU 20 in FIG. 2; steps B33 and B35 in FIG. 25).

  According to the first or seventh aspect of the invention, the value of the variable representing the geometric property of the graphic can be displayed in the table in accordance with a predetermined associating operation for associating the displayed graphic with the table. Therefore, the displayed graphic and the table can be associated with each other, and the data related to the geometric graphic can be processed on the table, so that an easy-to-use arithmetic control device can be realized.

  According to the second aspect of the present invention, the association operation for associating the displayed graphic with the table can be realized by a simple operation of moving the displayed graphic into the displayed table.

  According to the invention described in claim 3, after the displayed graphic is deformed according to the deformation operation, the value of the variable representing the geometric property of the graphic is set in accordance with the second associating operation for associating the graphic with the table. It can be added and displayed in the table.

  According to the invention described in claim 4, when the displayed figure is deformed according to the deformation operation, the value of the variable in the table is updated. On the other hand, when the value of the variable in the table is changed according to the change operation, the figure is deformed. For this reason, the figure and the table can be linked to each other.

  According to invention of Claim 5 or 8, according to the predetermined | prescribed correlation operation which links | relates the displayed numerical formula and a table | surface, the calculation result of a numerical formula can be displayed on a table | surface. Further, when the definition content of the variable used in the mathematical expression is changed, the mathematical expression is newly recalculated, and the calculation result in the table is updated with the calculation result. Therefore, since it is possible to change or process data related to the displayed mathematical expression on the table, it is possible to realize an easy-to-use arithmetic control device.

  According to the sixth aspect of the present invention, it is possible to display a plurality of mathematical expressions that are the same mathematical expression and have different variable definition contents. In addition, every time an association operation is performed for associating one of the displayed mathematical formulas with the table, the calculation result of the designated mathematical formula can be added to the table and displayed.

  Hereinafter, an embodiment in which the present invention is applied to a scientific calculator which is one of arithmetic control devices will be described in detail with reference to FIGS.

First, the overall configuration common to the embodiments will be described.
FIG. 1 is an overview diagram of the scientific calculator 1. As shown in the figure, the scientific calculator 1 stores a key group 3 including various operation keys, a display 5a, a touch panel 5b, a touch pen 7, a memory card reader 10, and an electronic teaching material that is detachably attached to the memory card reader 10. The memory card 70 is provided.

  The key group 3 includes keys for the user to input data to the scientific calculator 1 and instruct processing execution. For example, the key group 3 includes a numeric key group 3a, a direction key 3b, and an EXE key 3c. .

  The number key group 3a is a key for inputting numbers. The direction key 3b is a key that is pressed when the cursor is moved or a function is selected. In the present embodiment, the direction key 3b is configured to be able to input instructions in the vertical and horizontal directions. The EXE key 3c is a key for instructing the scientific calculator 1 to execute and determine processing.

  The display 5a is a portion where data and graphs corresponding to pressing of various keys are displayed, and performs various displays based on display signals input from the CPU 20. The display 5a is configured by an LCD (Liquid Crystal Display) or the like, and is integrated with the touch panel 5b. The touch panel 5b detects a tap operation of the touch pen 7, and outputs the tapped position (coordinates) to the CPU 20.

  FIG. 2 is a block diagram illustrating a configuration of the scientific calculator 1. In the figure, the scientific calculator 1 includes a CPU (Central Processing Unit) 20, an input unit 30, a touch panel 40, a display unit 50, a ROM (Read Only Memory) 60, a memory card reader 10, a memory card 70, and a RAM (Random Access Memory). ) 80, and the components other than the memory card 70 are connected to each other via a bus 90 so that data communication is possible.

  The CPU 20 reads a predetermined program from the ROM 60 or the memory card 70 on the basis of an instruction input via the input unit 30 and temporarily stores the program in the RAM 80. According to the program, the teaching material linked process or the electronic teaching material alone is performed. After executing various processing such as execution processing, the processing result is displayed on the display unit 50. That is, the CPU 20 plays a role of comprehensively controlling each part of the scientific calculator 1.

  The input unit 30 is an input device having a key group such as numeric keys and direction keys, and outputs a signal of the pressed key to the CPU 20. By means of key input in the input unit 30, input means such as data input and processing execution instructions are realized. The input unit 30 corresponds to the key group 3 shown in FIG.

  The touch panel 40 is configured by attaching a pressure-sensitive or electrostatic transparent sensor to the display unit 50. The touch panel 40 performs an operation (tap operation) of pressing the screen with the touch pen 7 or the like, and thereby selects the selected coordinate signal. It outputs to CPU20. The touch panel 40 corresponds to the touch panel 5b in FIG.

  The display unit 50 displays various screens based on various signals input from the CPU 20, and corresponds to the display 5a shown in FIG.

  The ROM 60 is a program for setting the scientific calculator 1 to an initial state when the power is turned on, as well as a teaching material linked program for linking various electronic teaching materials and other functions in each embodiment described later. Is stored. The ROM 60 will be described as the ROM 61 in the first embodiment and as the ROM 63 in the second embodiment.

  The memory card reader 10 is a device for reading and writing the memory card 70 and is built in the scientific calculator 1. The memory card 70 is configured by a flash ROM or the like, and stores an electronic teaching material program and data in the educational material necessary for the electronic learning material as an electronic teaching material. The memory card 70 will be described as the memory card 71 in the first embodiment and as the memory card 73 in the second embodiment.

  The RAM 80 is a storage area for temporarily storing various data as a work area of the CPU 20. The RAM 80 will be described as the RAM 81 in the first embodiment and as the RAM 83 in the second embodiment.

[First Embodiment]
The first embodiment will be described with reference to FIGS.

First, the configuration will be described.
FIG. 3 is a diagram illustrating a configuration of a ROM 61 provided in the scientific calculator 1 according to the first embodiment in place of the ROM 60 in FIG. 2. The ROM 61 stores a first learning material link program 611 that is read by the CPU 20 and executed as a first learning material link process (see FIG. 8).

  In the first teaching material linked process, the first electronic teaching material program 721 is analyzed to display a polygon that is a kind of geometric figure and an expression that uses a variable that expresses the geometric property as a numerical value. In this process, a table for spreadsheet calculation is displayed, and when a link operation for associating the polygon with the table is detected, the value of the variable is displayed in the table.

  Further, when the displayed polygon and the table are linked to each other, and an operation for deforming the polygon is performed, the value of the variable in the table is updated, and the operation of changing the value of the variable in the table is performed. If so, the display is updated by deforming the polygon. When a second link operation for associating the polygon with the table is detected after an operation for deforming the polygon is performed, the value of the variable of the polygon is added to the table. To display. The operation of the first teaching material interlocking process will be described later in detail.

  FIG. 4 is a diagram illustrating a configuration of a memory card 71 provided in the scientific calculator 1 according to the first embodiment in place of the memory card 70 of FIG. The memory card 71 stores a first electronic teaching material 72. The first electronic learning material 72 includes a first electronic learning material program 721 and first setting data 723 in the first learning material.

  The first electronic teaching material program 721 (hereinafter referred to as “first electronic teaching material” as appropriate) is a program as a teaching material about the geometric properties of an acute triangle, which is a kind of polygon. The CPU 20 executes processing as the first electronic teaching material alone by executing the first electronic teaching material program 721 alone. The processing as the first electronic teaching material is substantially the same as the processing of the broken line portion (steps A3 to A23) in FIG.

  The initial setting data 723 in the first teaching material includes the correspondence between the graphic part indicating the geometric property as an acute triangle and the variable indicating the feature value, the expression expressing the geometric property, and the value of the expression. This is data in which association with a variable to be expressed is defined.

  FIG. 5 is a diagram showing a configuration of the RAM 81 according to the first embodiment corresponding to the RAM 80 of FIG. The RAM 81 includes a first teaching material data storage area 811 and a first link data storage area 813.

  The first in-learning material data storage area 811 is an area for storing in-learning material data composed of the association defined in the first in-learning material initial setting data 723 and the value of the defined variable. 6, a column 811a for storing a variable, a column 811b for storing a corresponding graphic portion associated with the variable, a column 811c for storing an expression, and a column 811d for storing a value are provided. In FIG. 6, five variables “A”, “B”, “C”, “D”, and “E” are stored. For example, the corresponding graphic portion of the variable “A” is “∠A”. , The corresponding expression does not exist, and the corresponding value is “80”.

  The in-learning material data stored in the first in-learning material data storage area 811 is data created by the CPU 20 in the first learning material linked process. In addition, the value stored in the column 811d in the teaching material data is appropriately updated by the CPU 20 in the first teaching material interlocking process.

  The first link data storage area 813 is an area for storing the variables stored in the column 811a of the first teaching material data storage area 811 and the values stored in 811d as link data. As shown, a line 813a for storing variables and a line 813b (813b-1, 813b-2,..., Comprehensively represented by reference numeral “813b”) for storing values thereof are provided. In FIG. 7, five variables “A”, “B”, “C”, “D”, and “E” are stored, and values “80”, “70”, “30”, “180”, and “−20” are stored.

  The link data is created by the CPU 20 when an association operation for associating the geometric figure with the table is performed in the first teaching material link process, and the value stored in the row 813b of the link data is the data in the teaching material. It is updated in conjunction with the value of.

Next, the operation will be described.
FIG. 8 is a flowchart showing the flow of the first teaching material interlocking process executed in the scientific calculator 1 by reading and executing the first teaching material interlocking program 611 by the CPU 20. As described above, the range indicated by the broken line in the figure represents substantially the same process as the process in which the first electronic teaching material program 721 is operated alone.

  First, the CPU 20 displays a menu bar for the user to select a menu on the display unit (step A1), and starts analyzing the first electronic teaching material (step A3). Then, the type of geometric figure is determined based on the analyzed first electronic teaching material (step A5), and the type of polygon that is the geometric figure is determined (step A7).

  Next, the CPU 20 measures the angle of the feature part of the geometric figure in the initial state based on the initial value preset in the first electronic teaching material (step A9), and the geometric figure variable and the measured feature part. The teaching material data is created based on the information such as the angle (step A11) and stored in the first teaching material data storage area 811. Then, the teaching material screen is displayed on the display unit (step A13).

  Here, the learning material screen is a screen related to the first electronic learning material for the user to perform learning, and is, for example, the learning material screen 501 of FIG.

  Next, the CPU 20 determines whether or not the user has performed a deforming operation for deforming the geometric figure displayed on the teaching material screen (step A15). If it is determined that the deforming operation has been performed (step A15; Yes), The figure is deformed and its display is updated (step A17), and the angle of the characteristic part of the geometric figure is measured again (step A19).

  Then, the CPU 20 updates the teaching material data based on the angle of the characteristic portion measured in step A19 (step A21), updates the displayed teaching material screen (step A23), and returns to step A15.

  If it is determined in step A15 that the transformation operation has not been performed (step A15; No), the CPU 20 determines whether or not the user has input an instruction to execute the spreadsheet function (step A25).

  If it is determined in step A25 that the spreadsheet function execution instruction has not been issued (step A25; No), the process returns to step A15. If it is determined that the spreadsheet calculation function has been issued (step A25; Yes), the spreadsheet screen is displayed. Is displayed on the display unit (step A27).

  Then, the CPU 20 detects the link operation by determining whether or not the link operation from the geometric figure displayed on the teaching material screen to the table is missed (step A29). Here, the link operation refers to an association operation for associating a geometric figure with a table, and is realized by a drag-and-drop operation using the touch pen 7 described later.

  If it is determined in step A29 that the link operation has not been performed (step A29; No), the CPU 20 proceeds to another process, and if it is determined that the link operation has been performed (step A29; Yes), the geometric figure Are stored in the first link data storage area 813 as link data (step A31). A table is created based on the stored variables and their values (step A33) and displayed on the display unit (step A35).

  Next, the CPU 20 determines whether or not a change operation for changing the angle in the table displayed in step A35 has been performed by the user (step A37). If it is determined that the change operation has been performed (step A37; Yes). Then, the link data stored in the first link data storage area 813 is updated (step A39), and the teaching material data stored in the first teaching material data storage area 811 is updated (step A41).

  Then, the CPU 20 transforms the geometric figure displayed on the learning material screen according to the data in the learning material updated in step A41, updates the display (step A43), and updates the display of the learning material screen (step A45). ), And returns to Step A37.

  If it is determined in step A37 that the changing operation has not been performed (step A37; No), the CPU 20 determines whether or not the user has performed a deforming operation for deforming the geometric figure displayed on the teaching material screen (step S37). A47) When it is determined that the deformation operation has not been performed (step A47; No), the first teaching material interlocking process is terminated.

  If it is determined in step A47 that the deformation operation has been performed (step A47; Yes), the CPU 20 deforms the geometric figure displayed on the teaching material screen and updates the display (step A49), and the deformed geometry. Each angle of the feature portion of the figure is measured again (step A51). Then, the data in the learning material is updated based on the measured angle (step A53), and the display of the learning material screen is updated (step A55).

  Next, the CPU 20 detects the second link operation by determining whether or not the second link operation from the deformed geometric figure to the table is performed by the user (step A57), and determines that the second link operation has not been performed. (Step A57; No), the link data stored in the first link data storage area 813 is updated (Step A59), and the displayed table is updated based on the updated link data ( Step A61) returns to Step A37.

  Here, the second link operation refers to a second association operation for newly associating the deformed geometric figure and the table, and is realized by a drag and drop operation using the touch pen 7 to be described later. The

  When it is determined in step A57 that the second link operation has been performed (step A57; Yes), the CPU 20 adds and stores the new value of the deformed geometric figure in the first link data storage area 813. (Step A63), the display of the table is updated by adding a new value to the table (Step A65), and the process returns to Step A37.

Next, the processing so far will be described more specifically with reference to a display screen example.
FIG. 9 is a diagram showing the contents set as the first electronic teaching material 721. Here, variables “A”, “B”, “C” and expressions “D = A + B + C”, “E = A− (B + C)” and the like representing acute angle triangle ABC and geometric properties (characteristic portions) thereof are defined. Has been. These definition contents are stored in the first teaching material initial setting data 723.

  It is defined that an acute triangle ABC is drawn in the graphic display area 7211. The black rectangular deformation marks 7211a, 7211b, 7211c superimposed on the vertices of the acute triangle ABC are for deforming the acute triangle ABC. A mark representing a grid. The user can deform the acute triangle ABC by moving the deformation marks 7211a, 7211b, 7211c using the touch pen 7.

  The link mark 7213 (7213a, 7213b, and 7213c) indicates that the values of variables “A”, “B”, and “C” input to the numerical boxes 7215, 7217, and 7219 are acute triangles ABC on the teaching material screen 501. Is a mark indicating that there is an interlocking relationship corresponding to に A, ∠B, and ∠C, and when one is changed, the other is automatically changed.

  FIG. 10 shows an example of the teaching material screen 501 displayed on the display unit 50 (step A13 in FIG. 8). Here, according to the first electronic teaching material 721, an acute triangle ABC is drawn in the graphic display area 5011, and deformation marks 5011a, 5011b, and 5011c are displayed at the respective vertices. The user can deform the acute triangle ABC by moving the deformation mark using the touch pen 7.

  Further, the measured angle values of the acute triangle ABC (step A9 in FIG. 8) are shown in numerical boxes 5015, 5017 and 5019. In FIG. 10, the value of the angle A is '80', The value of angle B is '70', and the value of angle C is '30'.

  Further, a menu bar for the user to select a menu is displayed above the learning material screen 501 (step A1 in FIG. 8). The Function menu 502 is for allowing a user to select another function in the scientific calculator 1 and temporarily call and execute the function.

  FIG. 11 shows an example of a display screen when the spreadsheet function is selected from the Function menu 502. As shown in FIG. 11, the CPU 20 determines whether or not the spreadsheet function 502 b displayed as “table” is selected by a tap operation or the like from the Function menu item 502 a displayed by selecting the Function menu 502. It is determined whether or not an instruction is input to execute the spreadsheet function (step A25 in FIG. 8).

  FIG. 12 shows an example of a table screen 503 (step A27 in FIG. 8) displayed when the spreadsheet function 502b is selected (step A25 in FIG. 8; Yes). Here, a table screen 503 including a table in a table format is displayed below the teaching material screen 501.

  FIG. 13 shows an operation example when the user performs a link operation from the geometric figure on the teaching material screen to the table on the table screen. A link is established by moving the acute triangle ABC displayed in the graphic display area 5011 to the front screen 503 using the touch pen 7. Here, a drag and drop operation is performed as a movement operation. The CPU 20 detects the link operation by detecting this drag and drop operation (step A29 in FIG. 8).

  Here, the drag operation refers to a sliding operation in which the touch pen 7 is brought into contact with a desired figure or data on the screen and then moved to a desired position while maintaining the contact state. The drop operation refers to an operation of releasing the touch pen 7 from the screen at a predetermined position following the drag operation.

  FIG. 14 shows an example of a table displayed on the table screen 503 when a link operation is performed (step A29 in FIG. 8; Yes) (steps A33 and A35 in FIG. 8). The values “80”, “70”, “30”, “180”, “−20” of the angles A to E associated with the acute triangle ABC are input and displayed in the first row 503a of the table. Yes. The values of D and E are calculated and displayed according to the formulas “D = A + B + C” and “E = A− (B + C)” defined in the first electronic teaching material 721 shown in FIG. .

  FIG. 15 shows an example of a display screen when an operation for changing a value in the table on the table screen 503 is performed by the user. Here, among the angles A to C associated with the acute triangle ABC, the values of A and B are changed (503b, 503c), and the value of E is changed according to the values of A and B (503d). ). The changed value of A is ‘70’, the value of B is ‘80’, and the value of E is ‘−40’.

  FIG. 16 shows the acute triangle ABC that is updated and displayed when the user performs an operation to change the values in the table as shown in FIG. 15 (step 37 in FIG. 8; Yes) (FIG. 8). Step A43). Looking at the graphic display area 5011, it can be confirmed that the shape of the acute triangle ABC is deformed according to the values of the angles A and B in the table changed in FIG. 15, and the graphic display is updated.

  FIG. 17 shows an operation example when an operation for deforming the shape of the acute triangle ABC is performed by the user. In the figure display area 5011, the position of the vertex A in the acute triangle ABC is moved by a drag operation using the touch pen 7, and the acute triangle ABC is deformed.

  FIG. 18 shows an operation example when the user performs the second link operation from the geometric figure to the table. The acute triangle ABC deformed in the graphic display area 5011 is dragged and dropped on the front screen 503 again to establish the second link. That is, the CPU 20 detects the second link operation by detecting this second drag and drop operation (step A57 in FIG. 8).

  FIG. 19 shows an example of the updated table screen 503 (step A65 in FIG. 8) when it is determined that the second link operation has been performed (step A57 in FIG. 8; Yes). . In FIG. 19, the angles A to C associated with the deformed acute triangle ABC and the values “60”, “40”, “80”, “180”, and “−60” of the expressions D and E are represented by the table. Are displayed in addition to the second row 503e (steps A63 and 65 in FIG. 8).

  As described above, according to the first embodiment, when a link operation that associates a polygon that is a kind of geometric figure with a table is detected, the value of a variable that represents the geometric property of the polygon is It can be displayed in a table, and the polygon and the table can be linked to each other. In addition, when a second link operation that associates the polygon with the table is detected, a variable value representing the geometric property of the polygon can be added to the table and displayed. . Accordingly, it is possible to realize an easy-to-use arithmetic and control device that enables association between the displayed geometric figure and a table for spreadsheet calculation, and enables modification and processing of data related to the geometric figure on the table.

  The link operation by the user has been described as a drag and drop operation using the touch pen 7. However, the present invention is not limited to this. For example, the direction key 3b and the EXE key 3c are used instead of the touch pen 7. Of course, it is good to do.

[Second Embodiment]
The second embodiment will be described with reference to FIGS.

First, the configuration will be described.
FIG. 20 is a diagram illustrating a configuration of a ROM 63 provided in the scientific calculator 1 according to the second embodiment in place of the ROM 60 in FIG. 2. The ROM 63 stores a second teaching material interlocking program 631 that is read by the CPU 20 and executed as a second teaching material interlocking process (see FIG. 25).

  The second teaching material linked process is to analyze the second electronic teaching material program 741, display a mathematical formula, display a spreadsheet table on the display unit, and perform a link operation for associating the mathematical formula with the table. When it is detected, the calculation result of the mathematical expression is displayed in the table.

  Further, when an operation for changing the content of the variable used in the displayed mathematical expression is performed (hereinafter referred to as “definition expression”), the changed definition expression is assigned to the variable. Then, the mathematical formula is calculated again, and the calculation result displayed in the table is updated with the obtained calculation result. Each time a link operation that associates the displayed mathematical expression with the table is detected, the calculation result of the mathematical expression is newly added to the table and displayed. The operation of the second teaching material interlocking process will be described later in detail.

  FIG. 21 is a diagram showing a configuration of a memory card 73 provided in the scientific calculator 1 according to the second embodiment in place of the memory card 70 of FIG. The memory card 73 stores a second electronic teaching material 74. The second electronic learning material 74 includes a second electronic learning material program 741 and second internal learning material initial setting data 743.

  A second electronic teaching material program 741 (hereinafter referred to as “second electronic teaching material” as appropriate) is a program as a learning material for mathematical expression processing relating to differential / integral calculation. The CPU 20 executes the second electronic teaching material program 741 as a single unit to perform processing as the second electronic teaching material as a single unit. The processing as the second electronic teaching material is substantially the same as the processing of the broken line portion (steps B3 to B17) in FIG. The mathematical expression process is a process in which a mathematical expression is treated as an algebraic expression and the arithmetic expression is calculated as it is.

  The initial setting data 743 in the second teaching material is data in which a mathematical expression used in mathematical expression processing in the second electronic teaching material is defined. For example, “y”, “diff (y, x)”, and “∫ (y, x)” in FIG. The expression “diff (y, x)” is an expression showing a process of differentiating y by x and “∫ (y, x)” integrating y by x.

  FIG. 22 is a diagram showing a configuration of a RAM 83 according to the second embodiment corresponding to the RAM 80 of FIG. The RAM 83 includes a second teaching material data storage area 831 and a second link data storage area 833.

  The second educational material data storage area 831 uses the mathematical formula defined in the second educational material initial setting data 743 and a mathematical formula equivalent to the mathematical formula (hereinafter referred to as “equivalent formula”) as the educational data. This is an area for storage, and is stored by the CPU 20 in the second teaching material interlocking process. As an equivalent expression, there are a definition expression that defines the contents of a certain variable, an expression of an operation result obtained by performing an arithmetic process (formula processing) using a certain mathematical expression as an algebraic expression, and the like.

FIG. 23 shows the structure of the second educational material data storage area 831. As shown in FIG. 23, the second teaching material data storage area 831 includes a column 831a for storing mathematical expressions and a column 831b for storing equivalent expressions. In addition, as an equivalent expression, a definition expression “x ² ” of a mathematical expression (in this case, a variable) “y” is calculated, and an expression “2x” of a calculation result of the mathematical expression “diff (y, x)” is converted into a mathematical expression “ ) "formula calculation result" x ^3/3 "is stored in.

The second link data storage area 833 is an area for storing mathematical expressions stored in the second educational material data storage area 831 and their equivalent expressions as link data. As shown in FIG. And a row 833b (833b-1, 833b-2,..., Comprehensively represented by reference numeral “833b”) for storing an equivalent expression thereof. In FIG. 24, “y”, “diff (y, x)”, and “∫ (y, x)” are stored as mathematical expressions, and “x ² ”, “2x”, “x ³ ” are equivalent expressions thereof. / 3 "is stored.

  The link data is created by the CPU 20 when an association operation for associating a mathematical expression with a table is performed in the second teaching material interlocking process. In the link data, the equivalent formula stored in the row 833b is updated in conjunction with the equivalent formula of the data in the teaching material.

Next, the operation will be described.
FIG. 25 is a flowchart showing the flow of the second teaching material interlocking process executed in the scientific calculator 1 by reading and executing the second teaching material interlocking program 631 by the CPU 20. As described above, the range indicated by the broken line in the figure represents substantially the same process as the process in which the second electronic teaching material program 741 is operated alone.

  First, the CPU 20 displays a menu bar for the user to select a menu on the display unit (step B1), starts analysis of the second electronic teaching material (step B3), and displays a teaching material screen on the display unit. (Step B5).

  Next, the CPU 20 displays a small screen on the learning material screen (step B7), and displays a save / new button on the learning material screen (step B9).

  Here, the learning material screen is a screen related to the second electronic learning material for the user to perform learning, for example, the learning material screen 505 of FIG. The small screen is a screen that displays the mathematical formula set as the second teaching material initial setting data 743 and its equivalent formula, for example, the small screen 5051 in FIG. The save / new button is a button that is pressed when performing a save / new execution operation to be described later, for example, the save / new button 5053 of FIG. In addition, a numerical value box in which a definition expression can be input among the equivalent expressions is displayed in the small screen 5051. In the figure, this is a numerical box 5051a.

  Next, the CPU 20 determines whether or not the user has performed an input operation for inputting a definition formula in the numerical box on the small screen in the teaching material screen (step B11), and determines that the input operation has not been performed (step B11). No), the process is shifted to another process. If it is determined that an input operation has been performed (step B11; Yes), the CPU 20 calculates each mathematical expression displayed on the small screen as an algebra based on the input definition formula, and obtains an arithmetic result formula (step B13). ).

  Then, the CPU 20 creates teaching material data based on the definition formula input in step B11 and the calculation result formula obtained in step B13 (step B15), and stores it in the second teaching material data storage area 831. Store. Moreover, CPU20 updates the display of the small screen in a learning material screen (step B17).

  Next, the CPU 20 determines whether or not the user inputs an instruction for executing the spreadsheet function call (step B19), and when it is determined that the user has not made an instruction (step B19; No), the process returns to step B11. If it is determined (step B19; Yes), a table screen for spreadsheet is displayed on the display unit (step B21).

  Next, the CPU 20 detects the link operation by determining whether or not the link operation has been performed from the mathematical formula displayed on the small screen to the table (step B23). Here, the link operation refers to an association operation for associating a mathematical expression with a table, and is realized by a drag and drop operation using the touch pen 7 to be described later.

  If it is determined in step B23 that the link operation has not been performed (step B23; No), the CPU 20 proceeds to another process, and if it is determined that the link operation has been performed (step B23; Yes), the link. It is determined whether or not the operation is the first link operation (step B25).

  If it is determined in step B25 that it is the first link operation (step B25; Yes), the CPU 20 uses the mathematical formula displayed on the small screen and the equivalent formula of each mathematical formula as the link data as the second link data. Store in the storage area 833 (step B27). Further, the CPU 20 creates a table based on the stored mathematical formula and its equivalent formula (step B29) and displays it on the display unit (step B31).

  Next, the CPU 20 determines whether or not the user has performed a change operation for changing the definition expression displayed in the numerical box in the small screen (step B37), and determines that the change operation has been performed (step B37; Yes), each formula is newly calculated based on the input definition formula, and the formula of the calculation result is obtained (step B38). Then, the learning material data stored in the second learning material data storage area 831 is updated (step B39), and the display of the small screen in the learning material screen is updated (step B41).

  Further, the CPU 20 updates the link data stored in the second link data storage area 833 (step B43), updates the display of the table based on the updated link data (step B45), and performs step B37. Return to.

  When it is determined in step B37 that no change operation has been performed (step B37; No), the CPU 20 determines whether a save / new execution operation has been performed by the user (step B47). (Step B47; No), the second teaching material interlocking process is terminated.

  If it is determined in step B47 that a save / new execution operation has been performed (step B47; Yes), the CPU 20 additionally displays a new small screen on the learning material screen (step B49), and updates the display of the learning material screen. (Step B51). Then, the equivalent expression of the data in the learning material stored in the second learning material data storage area 831 is reset (step B53), and the process returns to step B37.

  Here, the new small screen is a screen for displaying mathematical formulas having the same calculation content but different definition formulas, for example, the small screen 5055 of FIG.

  If it is determined in step B25 that the current link operation is not the first link operation (step B25; No), the CPU 20 adds a new equivalent expression to the second link data storage area 833 and stores it. (Step B33), the table display is updated (Step B35), and the process proceeds to Step B37.

Next, the processing so far will be described more specifically with reference to a display screen example.
FIG. 26 is a diagram showing the contents set as the second electronic teaching material 741. In the small screen 7411, mathematical expressions “diff (y, x)” and “∫ (y, x)” are defined together with mathematical expressions “y” as variables 7411b and 7411d of those mathematical expressions.

  In addition, a numerical value box 7411a is displayed, and a definition formula for “y” can be input. A save / new button 7413 is displayed on the lower right side of the small screen 7411.

FIG. 27 shows an example of the teaching material screen 505 displayed on the display unit 50 (step B5 in FIG. 25). Here, a small screen 5051 is displayed according to the second electronic teaching material 741, and a definition formula “x ² ” is input in the numerical value box 5051a. This also replaces the mathematical expression “y” as a variable in the defined mathematical expressions “diff (y, x)” and “∫ (y, x)” with the defining expression “x ² ” as 5051b and 5051d. Has been. Then, as an expression 5051c and 5051e of the calculation results, each "2x", "x ^3/3" is displayed.

  A save / new button 5053 is displayed at the lower right of the small screen 5051 (step B9 in FIG. 25). This save / new button 5053 is a button used when performing a save / new execution operation for changing only the definition formula and performing the same mathematical expression processing.

  A menu bar for the user to select a menu is displayed above the learning material screen 505 (step B1 in FIG. 25). The function of the Function menu 506 is the same as that of the Function menu 502 described in FIG. 10 in the first embodiment, and a description thereof will be omitted.

  FIG. 28 shows an example of a display screen when the spreadsheet function is selected from the Function menu 506. As shown in FIG. 28, the CPU 20 determines whether or not the spreadsheet function 506 b displayed as “table” is selected from the Function menu item 506 a displayed by selecting the Function menu 506 by a tap operation or the like. It is determined whether or not an instruction to execute the spreadsheet function has been input (step B19 in FIG. 25).

  FIG. 29 shows an example of a table screen 507 (step B21 in FIG. 25) displayed when the spreadsheet function 506b in FIG. 28 is selected (step B19 in FIG. 25; Yes). Here, a table screen 507 including a table in a table format is displayed below the learning material screen 505.

  FIG. 30 shows an operation example when the user performs a link operation on the table from the mathematical formula on the small screen 5051. The link is established by moving the mathematical formula displayed on the small screen 5051 to the front screen 507. Here, a drag and drop operation is performed as a movement operation. The CPU 20 detects the link operation by detecting this drag and drop operation (step B23 in FIG. 25).

FIG. 31 shows an example of a table displayed on the table screen 507 when a link operation is performed (step B23 in FIG. 25; Yes) (steps B29 and B31 in FIG. 25). In FIG. 31, each mathematical expression on the small screen 5051 is input and displayed in the first row 507a of the table (however, for the sake of display, the mathematical expressions “diff (x ² , x)”, “∫ (x ² and x) ”, only“ diff ”and“ ∫ ”representing the operators are shown. The equivalent expression is input and displayed in the second row 507b of the table.

  FIG. 32 shows an operation example when the user performs an operation to change the definition formula on the small screen 5051. The user may specify the numerical value box 5051a by tapping and input the definition formula again (step B37 in FIG. 25).

FIG. 33 shows an example of a display screen when the definition formula is changed on the small screen 5051 in FIG. 32 (step B37 in FIG. 25; Yes). In the small screen 5051, the definition formula is changed to “x” and is input to the numerical value box 5051f. In addition, “x” in 5051g and 5051i is automatically updated and displayed by changing the definition formula of “y”. Further, as an expression 5051h and 5051j of the result are "1", "x ^2/2" is displayed.

In Figure 33, that the operation of changing the definition expression is made, the second line of the equivalent type of table is updated in the table screen 507, is the "x", "1", "x ^2/2" (Step B45 in FIG. 25).

  FIG. 34 shows an operation example of the save / new button 5053 by the user. The user may tap the save / new button 5053 using the touch pen 7 when inputting the save / new execution operation.

  FIG. 35 shows a new small screen 5055 (step B49 in FIG. 25) that is additionally displayed when the save / new execution operation as shown in FIG. 34 is performed by the user (step B47 in FIG. 25; Yes). An example is shown. In FIG. 35, a small screen 5055 is newly added and displayed below the small screen 5051.

In the small screen 5055, the definition formula “x ³ ” is newly input in the numerical value box 5055a, and “x ³ ” in 5055b and 5055d is automatically displayed by the input operation of the definition formula “y”. Is. Further, as an expression 5055c and 5055e of the calculation results, each "3x ^2", "x ^4/4" is displayed.

  FIG. 36 shows an operation example when the user performs a second link operation on the table from the mathematical formula on the small screen 5055. A second link is established by dragging and dropping the mathematical expression displayed on the small screen 5055 onto the front screen 507.

FIG. 37 shows an example of a table on the table screen 507 that is updated and displayed when the second link operation is performed (not the first link operation) (step B25 in FIG. 25; No). (Step B35 in FIG. 25). Equivalent expressions “x ³ ”, “3x ² ”, and “x ^4/4 ” are added and displayed in the third row 507d (steps B33 and B35 in FIG. 25).

  As described above, according to the second embodiment, when a link operation that associates a displayed mathematical expression with a table is detected, the calculation result of the mathematical expression can be displayed in the table. In addition, the mathematical formula is recalculated in accordance with the change of the definition formula, and the calculation result displayed in the table is updated. Further, every time a link operation for associating the displayed mathematical expression with the table is detected, the calculation result of the mathematical expression can be newly added and displayed in the table. Therefore, it is possible to realize an easy-to-use arithmetic and control apparatus that enables association between the displayed mathematical formula and the table for spreadsheet calculation, and enables modification and processing of data related to the mathematical formula on the table.

  The link operation by the user has been described as a drag and drop operation using the touch pen 7. However, the present invention is not limited to this. For example, the direction key 3b and the EXE key 3c are used instead of the touch pen 7. Of course, it is good to do.

1 is an overview diagram of a scientific calculator to which the present invention is applied. The block diagram which shows the internal structure of the scientific calculator to which this invention is applied. The figure which shows the data structure of ROM in 1st Embodiment. The figure which shows the data structure of the memory card in 1st Embodiment. The figure which shows the data structure of RAM in 1st Embodiment. The figure which shows the 1st teaching material data storage area. The figure which shows the 1st link data storage area. The flowchart which shows the flow of the 1st teaching material interlocking | linkage process. The figure which shows the content set as a 1st electronic teaching material. The figure which shows an example of the learning material screen displayed by the 1st learning material interlocking | linkage process. The figure which shows an example of the display screen when a spreadsheet function is selected. The figure which shows an example of the table | surface screen displayed by having selected the spreadsheet function. The figure which shows the example of a link operation from the geometric figure of a teaching material screen to the table | surface of a table | surface screen. The figure which shows an example of the table | surface of the table | surface screen produced and displayed by link operation. The figure which shows an example of the display screen when operation which changes the value in a table | surface is made. The figure which shows the geometric figure by which the display was updated by operation which changes the value in a table | surface. The figure which shows the operation example in the case of transforming the geometrical figure of a learning material screen. The figure which shows the 2nd example of a link operation from the geometrical figure of a teaching material screen to the table | surface of a front screen. The figure which shows an example of the table | surface of the table | surface screen updated by 2nd link operation. The figure which shows the data structure of ROM in 2nd Embodiment. The figure which shows the data structure of the memory card in 2nd Embodiment. The figure which shows the data structure of RAM in 2nd Embodiment. The figure which shows the data storage area in a 2nd teaching material. The figure which shows the 2nd link data storage area. The flowchart which shows the flow of the 2nd teaching material interlocking | linkage process. The figure which shows the content set as a 2nd electronic teaching material. The figure which shows an example of the display screen displayed by the 2nd learning material interlocking | linkage process. The figure which shows an example of the display screen in case a spreadsheet function is selected. The figure which shows an example of the table | surface screen displayed by selecting a spreadsheet function. The figure which shows the example of link operation from the numerical formula of a small screen to the table | surface of a front screen. The figure which shows an example of the table | surface of the table | surface screen produced and displayed by link operation. The figure which shows the example of operation which changes the definition formula of a small screen. The figure which shows an example of the display screen displayed by operation which changes a definition type | formula. The figure which shows the example of preservation | save and new execution operation. The figure which shows an example of the small screen added and displayed by preservation | save and new execution operation. The figure which shows the example of a link operation to the table | surface of the table | surface from the formula of the small screen displayed additionally. The figure which shows an example of the table | surface of the front screen displayed and updated by the link operation to the table | surface of the front screen from the formula of the small screen displayed additionally.

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 Scientific calculator 3 Key group 3a Number key group 3b Direction key 3c EXE key 5a Display 5b Touch panel 7 Touch pen 10 Memory card reader 20 CPU
30 Input unit 40 Touch panel 50 Display unit 60 ROM
611 1st learning material link program 631 2nd learning material link program 70 Memory card 72 1st electronic learning material 721 1st electronic learning material program 723 Initial setting data in 1st learning material 74 2nd electronic learning material 741 2nd electronic Teaching material program 743 Second teaching material initial setting data 80 RAM
811 First teaching material data storage area 813 First link data storage area 831 Second teaching material data storage area 833 Second link data storage area 90 Bus

Claims (8)

Graphic display control means for performing control to display a graphic and an expression using a variable that represents the geometric property of the predetermined part of the graphic by the numerical value;
A table display control means for controlling display of a table for spreadsheet calculation;
Detecting means for detecting an input of a predetermined associating operation for associating the graphic controlled by the graphic display control means with the table controlled by the table display controlling means;
Variable value display control means for performing control to display the value of the variable in the display-controlled table in response to detection by the detection means;
An arithmetic and control unit comprising:   The said detection means has a movement operation detection means which detects the input of the operation which moves the said display-controlled figure in the said display-controlled table | surface as said correlation operation. Arithmetic control device. Graphic deformation means for deforming the graphic controlled by the graphic display control means according to a deformation operation;
Second detection means for detecting an input of a second association operation for associating the graphic deformed by the graphic deformation means with the table controlled by the table display control means;
Variable value addition display control means for performing control to add the value of the variable related to the predetermined part of the graphic deformed by the graphic deformation means to the display-controlled table in response to detection by the second detection means. When,
The arithmetic control device according to claim 1, further comprising: Graphic deformation means for deforming the graphic controlled by the graphic display control means according to a deformation operation;
Variable value changing means for changing the value of the variable controlled by the variable value display control means according to a changing operation;
Control for updating the value of the variable controlled by the variable value display control means to a value related to the predetermined portion of the graphic deformed by the graphic deformation means; and the graphic controlled by the graphic display control means. Interlinked update control means for performing control to update the display by transforming according to the value of the variable changed by the variable value changing means;
The arithmetic control device according to claim 1, further comprising: Formula display control means for performing control to display formulas;
A table display control means for controlling display of a table for spreadsheet calculation;
Detecting means for detecting an input of a predetermined associating operation for associating the expression controlled by the expression display control means with the table controlled by the table display control means;
In response to detection by the detection means, a result display control means for performing control to display the calculation result obtained by calculating the mathematical expression in the display-controlled table;
Changing means for changing the definition content of the variable used in the display-controlled mathematical expression;
In accordance with the content of the change by the changing means, the linked update control means for calculating the display-controlled mathematical formula and performing control for updating the calculation result displayed by the result display control means with the calculation result;
An arithmetic and control unit comprising: The formula display control means has formula multiple display control means for displaying a plurality of formulas that are the same formula and have different definition contents of variables of the formula.
The detection unit includes a formula-specific detection unit that detects an input of a formula-specific association operation that associates any formula controlled by the formula multiple display control unit with the display-controlled table,
The result display control means performs control for adding the calculation result of the mathematical expression designated by the detected mathematical expression association operation to the display-controlled table every time the mathematical expression detection means detects the result. 6. The arithmetic control device according to claim 5, further comprising additional display control means for performing the operation. On the computer,
A graphic display control function for performing control to display a graphic and an expression using a variable that expresses a geometric property of a predetermined part of the graphic by the numerical value;
A table display control function for controlling display of a table for spreadsheet calculation;
A detection function for detecting an input of a predetermined associating operation for associating a graphic controlled by the graphic display control function with a table controlled by the table display control function;
A variable value display control function for performing control to display the value of the variable in the display-controlled table in response to detection by the detection function;
A program to realize On the computer,
Formula display control function for controlling display of formulas;
A table display control function for controlling display of a table for spreadsheet calculation;
A detection function for detecting an input of a predetermined associating operation for associating a mathematical expression controlled by the mathematical expression display control function with a table controlled by the table display control function;
In response to detection by this detection function, a result display control function for performing control to display the calculation result obtained by calculating the mathematical expression in the display-controlled table;
A change function for changing the definition content of a variable used in the display-controlled mathematical formula;
In accordance with the change contents by this change function, the interlocked update control function for calculating the display-controlled mathematical formula, and performing control to update the calculation result displayed by the result display control function with the calculation result;
A program to realize

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