JP3780907B2 - Arithmetic processing device and program - Google Patents

Description

[0001]
BACKGROUND OF THE INVENTION
The present invention relates to an arithmetic processing apparatus and a program that allow a user to arbitrarily select and convert a trigonometric function expression based on a formula.
[0002]
[Prior art]
Conventionally, an arithmetic processing unit such as a calculator or a personal computer inputs a trigonometric function expression such as 1 + x + sin (x) cos (y) + cos (x) sin (y), and a trigonometric function expression based on specific numerical values of variables. It has a function to calculate numerical values and display numerical solutions.
[0003]
Specifically, for example, the arithmetic processing device is provided with input keys for inputting trigonometric functions such as sin, cos, and tan and variables such as x and y, and the user presses the corresponding input key. Enter a trigonometric expression. Alternatively, a mathematical expression input screen is displayed on the display screen of the arithmetic processing unit, and the user inputs a trigonometric function expression by selecting a trigonometric function or variable button drawn on the input screen.
[0004]
Next, for example, a specific numerical value is input to the trigonometric function variable from a numeric key or a numeric keypad to the arithmetic processing unit. When the ENTER key or the like is pressed, the arithmetic processing unit executes the calculation and displays the calculation result based on the input value.
[0005]
Such an arithmetic processing unit is capable of displaying a series of flows from inputting a trigonometric function expression that is the basis of computation to displaying a numerical solution, and is therefore important in the field of mathematics education as a teaching material to replace handwritten calculations on notebooks. Occupying a new position.
[0006]
[Problems to be solved by the invention]
However, in the conventional arithmetic processing device, the input trigonometric function expression remains input. For this reason, for example, the transformation and transformation work of formulas such as summarizing similar terms of arithmetic expressions consisting of multiple terms and simplifying arithmetic expressions by applying transformations based on formulas and theorems is still done by hand writing notes while referring to textbooks. Must. If the arithmetic processing unit is viewed from the viewpoint of learning materials for mathematics, it is desirable to support important elements such as transformation and conversion of such arithmetic expressions.
[0007]
The present invention has been made in view of the above problems, and an object of the present invention is to transform / convert an input trigonometric function expression based on a theorem / formula corresponding to the function expression in an arithmetic processing unit. It is.
[0008]
[Means for Solving the Problems]
In order to solve the above-described problems, an arithmetic processing apparatus according to the first aspect of the present invention includes a display unit and an input unit that causes a user to input a trigonometric function and causes the display unit to display the input trigonometric function. And a formula storage unit that stores data on the right side and the left side in advance regarding a trigonometric formula, and a trigonometric expression displayed on the display unit, and allows a user to select a conversion source consisting of a single term or a plurality of terms. The data corresponding to the conversion source selected by the selection means is searched from the data on the right side and the left side stored in the selection means and the official storage means, and all the searched data on the right side or the left side are matched. A search display means for connecting to the left side or right side data as an equal sign and displaying the formula on the display means as a formula, and a formula for conversion from the formula displayed by the search display means. The formula selection means to be selected by the user, and the data on the left side or the right side to be paired included in the formula selected by the formula selection means are substituted into the conversion source selected in the trigonometric function formula, and Conversion means for displaying on the display means.
[0018]
DETAILED DESCRIPTION OF THE INVENTION
Hereinafter, an embodiment of an arithmetic processing device to which the present invention is applied will be described in detail with reference to FIGS. Here, the case where the present invention is applied to a so-called scientific calculator is taken as an example, but the application of the invention is not limited to this, and other arithmetic processing functions such as a personal computer, a PDA, and a multi-function mobile phone are provided. It can be applied to various electronic devices.
[0019]
FIG. 1 is a diagram showing an example of the appearance of a scientific calculator to which the present invention is applied. As shown in the figure, the scientific calculator 1200 performs a calculation unit (not shown) that performs calculation processing, an operation input key 1202 that inputs numerical values, predetermined functions, and calculation operations, and scrolls and selects a screen. It has a cross key 1204, a display screen 1206 for displaying input numerical values, function expressions, and calculation results, and a power source (not shown) such as a built-in battery or a solar battery. Yes.
The scientific calculator 1200 also includes a slot 1212 for the storage medium 1210 and a connection terminal 1216 connected to a signal cable 1214 capable of transmitting and receiving data with a communication line and peripheral devices.
[0020]
The operation input key 1202 is means for inputting numbers, four arithmetic operation symbols, mathematical symbols (such as parentheses), functions, function selections, and execution instructions, and is realized by, for example, a key switch as in the conventional case.
[0021]
The display screen 1206 is an element such as an LCD or an ELD that can display a drawing of a character or a graphic or an image using dots, and is configured by a combination of a single element or a plurality of elements. The display screen includes a function display area 1206a, a mathematical expression display area 1206b, an official display area 1206c, and a scroll bar 1206d.
[0022]
In the function display area 1206a, details of the currently functioning process are displayed as graphics such as text or icons to notify the user, and for example, the function display area 1206a prompts an operation input. Alternatively, the same area may be used when numerical values are input to variables such as x and y. In the example of FIG. 1, processing is performed using a plurality of trigonometric terms as conversion sources, and a display prompting the user to select a formula is displayed.
[0023]
In the mathematical expression display area 1206b, for example, a trigonometric function expression to be calculated, a conversion source, specific numerical values of variables, numerical values of calculation results, and the like are displayed. Scrolls when the display exceeds a predetermined number of lines. In the example of FIG. 1, the underlined portion corresponds to the conversion source.
[0024]
In the official display area 1206c, the theorem and formula corresponding to the conversion source are displayed. For example, the display is scrolled by a scroll bar 1206d. In the example of FIG. 1, the underlined portion is selected.
[0025]
The screen layout of the display screen 1206 is not limited to the example of FIG. 1, and the arrangement location and size of each area may be changed as appropriate and shared. When the display screen 1206 is small, each area may be switched by a predetermined input from the operation input key 1204.
[0026]
The storage medium 1210 is an information storage medium such as an IC memory card, MO, DVD-RAM, or hard disk.
The slot 1212 is a device that can read and write data detachably from the storage medium 1210, and is appropriately selected depending on the type of the storage medium 1210. When the storage medium 1210 is an external hard disk, the slot 1212 may be a terminal for a connection cable such as USB (Universal Serial Bus) or IEEE 1394 (Institute of Electronic and Electronic Engineers 1394).
[0027]
The connection terminal 1216 is a terminal that can be connected to a signal cable 1214 that connects a communication line and peripheral devices (for example, a measuring instrument, a data collector, a printer, a modem, a mobile phone, a personal computer, and the like). For example, various formats such as BNC (Bionet Connecter), USB, and IEEE1394 are appropriately selected.
Although the example of FIG. 1 shows an example of wired connection, the present invention is not limited to this, and for example, data transmission / reception may be realized using radio waves such as infrared rays. In this case, the connection terminal 1216 corresponds to a wireless transmission / reception module and a wireless transmission / reception terminal.
[0028]
Next, the functional configuration will be described.
FIG. 2 is a block diagram showing a functional configuration of the present embodiment. In the figure, a scientific calculator 1200 includes a CPU (Central Processing Unit) 110, a RAM (Random Access Memory) 120, a ROM (Read Only Memory) 130, an input unit 140, a display unit 150, and a communication control unit 160. And a storage medium reading unit 170 and a bus 180 connected so that data can be transmitted and received between the constituent elements.
[0029]
The CPU 110 performs control of each component and arithmetic processing as a calculator, and controls the scientific calculator 1200 uniformly.
As in the case of a conventional scientific calculator, by executing various programs stored in the ROM 130, it is a matter of course that data transmission / reception with arithmetic functions and peripheral devices is realized. By executing the conversion processing program 134, trigonometric function conversion processing is executed.
[0030]
The RAM 120 is a means for temporarily storing programs and numerical values as a work area of the CPU 110. The RAM 120 includes a work area where program development and work data are stored, and in particular, display history information 122 for storing contents (numerical values, mathematical expressions, etc.) displayed on the display unit 150, and an input triangle. Input expression information 124 for storing the function expression and conversion source information 126 for storing the contents of the conversion source consisting of a single term or a plurality of terms included in the trigonometric function expression are stored.
[0031]
The display history information 122 stores the content displayed on the display screen 1206. By following the display history information 122, the contents displayed in the past can be displayed again. For example, a character string or a function expression can be searched from the past display contents.
The input expression information 124 stores information such as numerical values and trigonometric functions input from the input unit 140.
The conversion source information 126 stores single or plural information included in the input trigonometric function expression as a conversion source.
[0032]
The ROM 130 is a means for storing programs and data necessary for control of the scientific calculator, arithmetic processing, and transmission / reception of data to / from peripheral devices. The system program 132, the conversion processing program 134, and the official dictionary data 136 are stored in the ROM 130. I remember it.
[0033]
The system program 132 is a program for causing the CPU 110 to realize the basic functions of the scientific calculator 1200. With this program, the CPU 110 identifies, for example, signals input from the input unit 140 as numerical values or trigonometric functions. Processing to be stored in the RAM 120, processing to store the data stored in the RAM 120 in another storage position, numerical calculation processing, processing to display the trigonometric function expression and numerical values in various display forms, and others via a communication line Processing to send / receive data to / from the device.
[0034]
The conversion processing program 134 is a program and data related to the basis of the present embodiment that causes the CPU 110 to execute processing for converting the input trigonometric function expression based on the theorem or formula.
[0035]
The official dictionary data 136 is information storing information related to a formula for converting a trigonometric function expression.
FIG. 8 is a diagram showing an example of the configuration of the official dictionary data 136. As shown in the figure, for example, the data on the left and right sides of the formula, the name of the formula, the file name and address for storing information about the description of the formula, and the file name of the proof data storing the process of the formula And addresses. The row components (elements arranged side by side) in the figure mean a collection of information related to one formula. For example, when displaying a formula in the formula display area 1206c, the data on the left and right sides of the formula to be displayed is “= "And connected with a symbol.
[0036]
The input unit 140 is a means for the user to input numerical values, calculation symbols, and the like, as well as selection and execution or interruption of calculation processing, and corresponds to the operation input key 1202 and the cross key 1204 in the example of FIG. Then, a signal corresponding to the key pressed by the user is output to the CPU 110.
[0037]
The display unit 150 is a means for displaying numerical values, trigonometric functions, various operation screens, and the like, and corresponds to the display screen 1206 in the example of FIG. The display unit 150 is realized by, for example, an LCD or an ELD.
[0038]
The communication control unit 160 is means for controlling transmission / reception of data to / from other devices via the communication line 162, and is realized by, for example, a predetermined program, an LSI, a connection terminal, and the like. Detailed functions depend on the standard of the communication line 162 to be connected. The connection terminal 1216 of FIG. 1 is included here.
[0039]
The communication line 162 is a communication medium capable of transmitting and receiving wired / wireless data, and includes, for example, a direct cable connection with a LAN, the Internet, a PHS network, a mobile phone network, and peripheral devices. .
[0040]
The storage medium reading unit 170 corresponds to the slot 1212 in FIG. 1 and is a means for reading and writing data to and from the storage medium 1210 such as an IC memory card, MO, DVD-RAM, FD (registered trademark), and hard disk.
[0041]
Note that some or all of the programs, data, and the like stored in the RAM 120 and the ROM 130 are received from the communication control unit 160 via the communication line 162 from an external device such as a server or a client, and stored in the storage medium 1210. You may make it the structure to carry out.
Further, the program may be installed by receiving from a server or a client via the communication line 162 or installed from the storage medium 1210.
[0042]
Next, the operation of the scientific calculator 1200 will be described. Since operations related to selection of functions as a so-called scientific calculator, display of mathematical expressions and numerical values, processing of four arithmetic operations, etc. are well-known, detailed description thereof will be omitted, and trigonometric function conversion processing according to the present invention will be omitted. Only will be described.
[0043]
FIGS. 3 and 4 are flowcharts for explaining the flow of trigonometric function conversion processing, which functions when the CPU 110 executes the conversion processing program 134. The conversion processing program 134 is executed by, for example, pressing a predetermined function key (“F1” to “F6” key in FIG. 1).
[0044]
In the trigonometric function conversion process, the CPU 110 first causes the user to input a trigonometric function expression in the same manner as in the prior art (step S102). Then, the input trigonometric function formula is stored in the input formula information 124 and displayed in the formula display area 1206b.
[0045]
Next, the CPU 110 causes the user to select a term (conversion source) to be converted by the trigonometric function, and stores the selected term in the conversion source information 126 (step S104).
Specifically, for example, “select a term to be converted” is displayed in the function display area 1206a to prompt the user to perform a selection operation. As a selection method, an operation such as menu selection in a conventional scientific calculator can be applied. For example, when the left / right direction of the cross key 1204 is pressed, the terms constituting the trigonometric function are sequentially selected, the selection is determined by pressing the upward direction, the selection is canceled when the downward direction is pressed, and the selection is terminated by the EXE key. . The display form is changed to indicate that the selected item has become the conversion source. In the example of FIG. 1, the corresponding item is underlined.
[0046]
Next, the CPU 110 executes a formula search process for searching for formula and theorem information corresponding to the conversion source (step S106).
[0047]
FIG. 4 is a flowchart for explaining the flow of the official search process. As shown in the figure, the CPU 110 first determines whether the term included in the conversion source information 126 is a single term or a plurality of terms (step S202).
[0048]
If it is a single term (YES in step S202), the CPU 110 determines whether the conversion source trigonometric function is, for example, sin (), cos (), or tan () (step S204), and the official dictionary. The data 136 is searched for a formula including the left side or the right side consisting of unary terms with the same kind of function (step S206).
[0049]
On the other hand, when the conversion source is a plurality of terms (NO in step S202), the CPU 110 determines the format pattern of the conversion source (step S208), and determines the left side or the right side having the same format pattern from the official dictionary data 136. The formula including it is searched (step S210).
[0050]
The format pattern is a combination of trigonometric expression types. For example, when the conversion source is sin (x) cos (y) + cos (x) sin (y), “sin (x) cos (y) ”And“ cos (x) sin (y) ”, it is determined that there is one pattern of each type. In the case of cos (x) cos (y) -sin (x) sin (y), each type is a combination of “cos (x) cos (y)” and “−sin (x) cos (y)”. It is determined that the patterns exist one by one.
Similarly, the CPU 110 discriminates and searches the left side and right side of the official dictionary data 136 by the format pattern. If the formula is retrieved, the flow returns to the flow of FIG.
[0051]
In FIG. 3, if there is no formula corresponding to the conversion source as a result of the search (NO in step S108), conversion can be attempted again by changing the conversion source (YES in step S120).
If there is a corresponding formula as a result of the search (YES in step S108), the CPU 110 displays all the formulas of the searched formulas (formulas in which the left side and the right side are connected by an equality symbol) in the formula display area 1206b ( Step S110). At this time, an official name may be displayed as appropriate.
[0052]
If the searched formula is displayed, the CPU 110 next causes the user to select a formula to be converted from the displayed formulas (step S112). Specifically, for example, “select formula” is displayed in the function display area 1206a to prompt the user to perform a selection operation. The user operates the cross key 1204 to select a formula. In the example of FIG. 1, the selected formula is underlined.
[0053]
Here, when a predetermined HELP key or function key is pressed (YES in step S114), the CPU 110 executes an explanation display process (step S116).
[0054]
FIG. 5 is a flowchart for explaining the flow of the explanation display process. As shown in the figure, the CPU 110 first causes the user to select an item to display “explanation” or “certification” (step S302).
[0055]
If the item is selected, the CPU 110 searches the official dictionary data 136 for an explanation or proof corresponding to the formula selected in step S112 (step S304) and displays it on the display unit 150 (step S306). The explanation or the proof is displayed in the respective areas as appropriate, or is displayed in the window screen by opening a separate window screen.
[0056]
For example, if a display switching request is input using the ESC key or a predetermined function key (YES in step S308), the display is returned to the original state (step S310), the explanation display process is terminated, and FIG. Return to the flow.
[0057]
On the other hand, in FIG. 3, when the selection is confirmed by pressing the EXE key, for example, the CPU 110 assigns the selected and confirmed formula to the conversion source, and displays the substitution result, that is, the converted trigonometric expression in the mathematical expression display area 1206b. (Step S118).
[0058]
When performing additional conversion (YES in step S120), the CPU 110 selects the conversion source again (step S104). When the additional conversion is not performed (NO in step S120), the user is allowed to specify a numerical value to be assigned to the variable (step S122) as in the conventional case. Then, calculation processing is performed based on the numerical value (step S124), and the calculation result is displayed in the mathematical expression display area 1206b (step S126).
[0059]
As described above, from the input of the trigonometric expression to the conversion processing of the trigonometric expression based on the formula and the numerical calculation can be executed by the arithmetic processing unit.
[0060]
6 and 7 are diagrams showing an example of an execution screen in the trigonometric function conversion process. FIG. 6 shows an example in the case of single term processing, and FIG. 7 shows an example in the case of plural term processing.
[0061]
6, (a) corresponds to the input state of the trigonometric function in step S102 of FIG. 3, and the input trigonometric function F1 (sin (2x) cos (2x)) is displayed in the mathematical expression display area 1206b. ing.
(B) corresponds to the selection state of the conversion source in step S104 in FIG. 3, sin (2x) is selected as the conversion source, and an underline display indicating that the conversion source is selected is displayed.
(C) corresponds to the selection state of the formula to be converted in steps S110 to S112 in FIG. 3, and the formula corresponding to the conversion source is displayed in the formula display area 1206c by the formula search process. In the example of (c), sin (2a) = 2sin (a) cos (a) is selected.
(D) corresponds to the result output state in step S126 of FIG. 3, and after changing the variable a used in the formula to the variable X of the trigonometric function formula, the transformed formula F2 (2sin (x ) Cos (x) cos (2x)) is displayed in the mathematical expression display area 1206b. In the stage (d), cos (2x) can be converted in the same manner, so that the conversion process can be performed again.
[0062]
Similarly in FIG. 7, (a) is step S102 of FIG. 3, (b) is step S104 of FIG. 3, (c) is steps S110 to S112 of FIG. 3, (d) is step S126 of FIG. This is an example of an execution screen corresponding to each.
[0063]
In the above description, the trigonometric function input, conversion, and numerical operation are described as a series of operations. However, the official dictionary data 136 may be separated from the numerical operation and referred to as necessary. Specifically, for example, an official proof process is provided in which the official dictionary data 136 is appropriately called to refer to the official explanation and proof, and the call is executed by pressing a predetermined function key.
[0064]
FIG. 9 is a flowchart for explaining the flow of the official certification process. As shown in the figure, the CPU 110 first reads all the formulas from the official dictionary data 136 and displays them on the display unit 150 (step S402). The user selects a target formula (step S404). At this time, the formulas may be displayed together by name or format pattern.
[0065]
If the target formula is selected, the CPU 110 searches for “description” and “certification” data corresponding to the selected formula (step S406).
[0066]
When the corresponding data is retrieved (YES in step S408), the data is displayed (step S416).
If the corresponding data is not searched (NO in step S408), the display history information 122 is searched for a corresponding expression (step S410). If there is a corresponding expression (YES in step S412), the corresponding data is displayed. (Step S416).
If there is no corresponding expression in the display history information 122 (NO in step S412), the CPU 110 displays that there is no corresponding data and ends the process (step S414).
[0067]
FIG. 10 is a diagram illustrating an example of an execution screen in the official proof display process.
In FIG. 9, (a) corresponds to the state where the official list is displayed in step S402 of FIG. FIG. 9B corresponds to the target formula selection state in step S404 in FIG. 9, and an underline is displayed in a portion corresponding to the selected formula. (C) corresponds to the state where the certification data in step S416 of FIG. 9 is displayed.
[0068]
In this way, by making it possible to refer to the official dictionary data 136 as appropriate, the user can refer to the official proof when necessary without turning over textbooks and reference books. Note that the official proof display process may be stored in the ROM 130 as a single program, for example, or may be shared with the explanation display process and called by a trigonometric conversion process.
[0069]
As mentioned above, although one embodiment to which the present invention is applied has been described, the present invention is not limited to this, and the detailed configuration, operation, operation input method, and the like are appropriately set within the scope of the present invention. Of course, it can be changed.
[0070]
【The invention's effect】
According to the invention described in claim 1 or 4, the arithmetic processing unit stores in advance data on the right side and the left side relating to a trigonometric function formula, and from a trigonometric function expression inputted and displayed by a user, Or, when the conversion source consisting of a plurality of terms is selected by the user, the data corresponding to the selected conversion source is searched from the stored data on the right side and the left side, and all the searched right side or left side data When the formula to be converted is selected from the displayed formulas by connecting with the data on the left or right side of the pair with equal signs and displayed as a formula, the left side of the pair included in the selected formula or Since the data on the right side is assigned to the conversion source and displayed, the user does not need to turn the textbook one by one as in the past, and convert the trigonometric expression to the notebook by hand, concentrating on solving the trigonometric expression. You It is possible. It is also possible to try various changes without hesitation in handwriting, and learning effects can be enhanced by touching more formulas and theorems.
[0071]
According to the second aspect of the present invention, the arithmetic processing unit displays information related to the proof of the formula, for example, the process by which the predetermined formula is derived, in order to display the transformation of the formula. Is stored.
Accordingly, the same effect as in the first aspect can be obtained, and the arithmetic processing unit can display the proof process of the formula selected by the formula selection means. Therefore, the user does not need to open textbooks or reference books to check the theorem or formula to be converted.
[0072]
Further, according to the invention described in claim 3, the arithmetic processing device includes, for example, the name and classification of the formula, information about the discoverer of the theorem, points and hints of use, links to other related formulas, etc. Official explanatory information is stored.
Therefore, while having the same effect as the first or second aspect, the arithmetic processing unit can display the explanation of the formula selected by the formula selection means. Therefore, the user can check the explanation about the formula without opening a reference book or textbook.
[Brief description of the drawings]
FIG. 1 is a diagram showing an example of the appearance of a scientific calculator to which the present invention is applied.
FIG. 2 is a block diagram showing a functional configuration.
FIG. 3 is a flowchart for explaining a flow of trigonometric function conversion processing;
FIG. 4 is a flowchart for explaining a flow of an official search process.
FIG. 5 is a flowchart for explaining a flow of explanation display processing;
FIG. 6 is a diagram illustrating an example of an execution screen in trigonometric function conversion processing, illustrating an example of unary processing.
FIG. 7 is a diagram showing an example of an execution screen in trigonometric function conversion processing, showing an example in the case of multi-term processing.
FIG. 8 is a diagram showing an example of the data structure of official dictionary data.
FIG. 9 is a flowchart for explaining the flow of the official certification process.
FIG. 10 is a diagram showing an example of an execution screen in official proof processing.
[Explanation of symbols]
110 CPU
120 RAM
124 Input formula information
126 Source information
130 ROM
134 Conversion processing program
136 official dictionary data
140 Input section
150 display
1200 scientific calculator
1206a Function display area
1206b Formula display area
1206c Official display area

Claims (4)

Display means ;
An input means for causing a user to input a trigonometric expression and displaying the input trigonometric expression on the display means ;
Formula storage means for storing in advance data on the right and left sides of the trigonometric formula,
A selection unit that allows the user to select a conversion source consisting of a single term or a plurality of terms from the trigonometric expression displayed on the display unit ;
The data corresponding to the conversion source selected by the selection unit is searched from the data on the right side and the left side stored in the official storage unit, and for all the searched right side or left side data, the paired left side or Search display means for connecting to the right side data with an equal sign and displaying it on the display means as a formula ;
Formula selection means for allowing the user to select a formula to be converted from the formulas displayed by the search display means ,
Conversion means for substituting the data on the left or right side of the pair included in the formula selected by the formula selection means into the conversion source selected in the trigonometric function expression and displaying on the display means ;
An arithmetic processing apparatus comprising: The arithmetic processing device according to claim 1, further comprising:
Proof storage means for storing information about official proofs;
Proof display means for reading and displaying the proof of the official selected by the official selection means from the proof storage means;
An arithmetic processing apparatus comprising: The arithmetic unit according to claim 1, further comprising:
An explanation storage means for storing the official explanation;
Explanation display means for reading and displaying the explanation of the formula selected by the formula selection means from the explanation storage means;
An arithmetic processing apparatus comprising: The computer connected to the display means
An input means for causing a user to input a trigonometric expression and displaying the input trigonometric expression on the display means;
Formula storage means that stores data on the right and left sides of trigonometric formulas in advance,
Selection means for allowing the user to select a conversion source consisting of a single term or a plurality of terms from the trigonometric expression displayed on the display means,
The data corresponding to the conversion source selected by the selection unit is searched from the data on the right side and the left side stored in the official storage unit, and for all the searched right side or left side data, the paired left side or Search display means for displaying on the display means as a formula by connecting with data on the right side with an equal sign,
Formula selection means for allowing the user to select a formula to be converted from the formulas displayed by the search display means,
Conversion means for substituting the data on the left or right side of the pair included in the formula selected by the formula selection means into the conversion source selected in the trigonometric function expression and displaying the data on the display means,
Program to function as .

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