JP5380981B2 - Mathematical formula calculation apparatus and mathematical formula calculation program - Google Patents

Description

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

2. Description of the Related Art Conventionally, in a mathematical expression arithmetic apparatus that performs various mathematical expressions, arithmetic processing for organizing arbitrary variables or substituting different variables for equations and inequalities including variables is possible. In recent years, for example, a method has been proposed that improves the usability of arithmetic processing by making it possible to set units for each variable in a mathematical expression (see, for example, Patent Document 1).
JP 2004-126665 A

  However, in the mathematical expression calculation device described in Patent Document 1, expressions that can be processed are limited to equations and inequalities, and a function for calculating a proportional symbol expression is not provided. It was difficult to understand.

  An object of the present invention is to provide a mathematical expression calculation device and a mathematical expression calculation program capable of facilitating understanding of the proportional relationship between variables.

The invention according to claim 1 is a mathematical expression device,
Proportional symbol expression storage means for storing at least one proportional symbol expression including at least one variable and having both sides each having one term;
Formula input means for inputting an arbitrary formula including at least one variable as an input formula based on a user operation;
Proportional symbol expression display means for displaying a list of proportional symbol expressions when any variable included in the input expression matches any variable included in the proportional symbol expression stored in the proportional symbol expression storage means When,
Proportional symbol expression selecting means for selecting any proportional symbol expression among the proportional symbol expressions displayed in a list by the proportional symbol expression display means based on a user operation;
Of the variables included in the input formula, the proportional symbol formula is substituted into the input formula so that the same variable as the variable on one side of the proportional symbol formula selected by the proportional symbol formula selection means is deleted, Formula transformation result display means for transforming the proportional symbol formula and displaying the other side of the proportional symbol formula transformed,
It is characterized by providing.

According to a second aspect of the present invention, in the mathematical operation device according to the first aspect,
The expression modification result display means is the same as a variable on one side of the proportional symbol expression selected by the proportional symbol expression selection means among the variables included in the input expression only when addition or subtraction is not included in the input expression. The proportional symbol formula is substituted into the input formula so that the variable is deleted, the proportional symbol formula is transformed, and the other side of the proportional symbol formula transformed is displayed. .

The invention according to claim 3 is the mathematical operation apparatus according to claim 1 or 2,
The proportional symbol type storage means includes:
The proportional symbol expression inputted by the mathematical expression input means can be stored based on a user operation,
When a proportional symbol expression having the same side as the newly stored proportional symbol expression is stored in advance, a side obtained by multiplying the same one side by the other sides of each proportional symbol expression is regarded as a proportional relationship. A new proportional symbol expression is further stored.

According to the present invention, at least one proportional symbol expression including at least one variable and one term on each side is stored, and any variable included in an arbitrary expression input as an input expression is a proportional symbol expression. Any of the proportional symbol expressions is selected based on a user operation, and among the variables included in the input expression, the proportional symbol expression selecting means The proportional symbol formula is substituted into the input formula so that the same variable as the variable on one side of the proportional symbol formula selected by is substituted, the proportional symbol formula is transformed, and the proportional symbol formula is transformed. The other side is displayed and can be confirmed. Therefore , understanding of the proportional relationship between variables can be facilitated.

DESCRIPTION OF EMBODIMENTS Hereinafter, a mathematical formula calculation apparatus according to the present invention will be described with reference to the drawings.
[1 External configuration]
FIG. 1 is a front view of a scientific calculator 1 to which a mathematical operation device according to the present invention is applied.
As shown in this figure, the scientific calculator 1 includes various key groups 2 and a display 3.

  The various key group 2 is a key group for receiving an input operation such as a numerical value or a calculation symbol from a user or an instruction operation of various processes, and includes a plurality of keys each assigned a unique function. Yes. In the present embodiment, the various key groups 2 are a numeric keypad 20, an operation symbol key 21, an EXE key 22, a DEL key 23, a direction key 24, a function key 25, an alphabet key 26, a SHIFT key 27, a proportional symbol key 28, and the like. It is configured with.

  Among these, the numeric keypad 20 is a key for receiving a numerical value input operation, and the arithmetic symbol key 21 is a key for receiving various arithmetic symbol input operations.

  The EXE key 22 functions as a key for instructing execution of various processes such as arithmetic processing and graphic drawing processing. When the EXE key 22 in this embodiment is pressed on a selection screen (“Y / N”) for determining whether or not to execute a predetermined process, execution (“Y”) is instructed. ing.

  The DEL key 23 is a key for receiving a deletion operation such as a numerical value or a calculation symbol displayed on the display 3.

  The direction key 24 is a key that is pressed when, for example, moving a cursor (not shown) displayed in the display 3 in a predetermined moving direction. It is configured to allow input.

  The function key 25 is a key for instructing execution of a predetermined process assigned in advance. More specifically, the function key 25 in the present embodiment has an F1 key 25a for instructing switching between a proportional symbol type registration mode and a proportional symbol type substitution mode, which will be described later.

The alphabet key 26 is a key that receives an input operation of alphabets A to B when pressed simultaneously with the SHIFT key 27.
The proportional symbol key 28 is a key for receiving an input operation of the proportional symbol “∝”.

  The display 3 is a portion where various data necessary for using the scientific calculator 1 are displayed in addition to characters, codes, mathematical expressions, calculation results, figures, and the like in response to pressing of the various key groups 2. The display 3 in the present embodiment is described as being composed of a dot matrix liquid crystal, but may be another display device such as a TFT (Thin Film Transistor) liquid crystal or a PDP (Plasma Display Panel). Of course.

[2 Functional configuration]
Next, the functional configuration of the scientific calculator 1 will be described.
FIG. 2 is a block diagram showing a functional configuration of the scientific calculator 1. As shown in this figure, the scientific calculator 1 includes functional units such as an input unit 4, a display unit 5, a ROM (Read Only Memory) 6, a RAM (Random Access Memory) 7, and a CPU (Central Processing Unit) 8. Each functional unit is connected by a bus 10.

The input unit 4 includes the various key groups 2 described above, and outputs a signal of a pressed key to the CPU 8.
The display unit 5 includes the above-described display 3 and displays various information on the display 3 based on signals from the CPU 8.

  The ROM 6 stores programs related to operations such as menu display processing, various setting processes, and various arithmetic processes in the scientific calculator 1, programs for realizing various functions of the scientific calculator 1, and the like. In the embodiment, a mathematical formula calculation program 60 is stored.

  The mathematical formula calculation program 60 is a program for causing the CPU 8 to execute various mathematical formula computation processes. In the present embodiment, the mathematical formula computation program 60 includes a proportional symbol formula registration program 61 and a proportional symbol formula substitution program 62 as subroutines.

  Among these, the proportional symbol type registration program 61 is a program for causing the CPU 8 to execute a proportional symbol type registration process (see FIG. 4) described later. The proportional symbol substitution program 62 is a program for causing the CPU 8 to execute a proportional symbol substitution process described later (see FIG. 5).

  The RAM 7 is a memory that can be written as needed to temporarily hold various programs executed by the CPU 8 and data related to the execution of these programs. In the present embodiment, the RAM 7 has a proportional symbol type storage table 70. ing.

  As shown in FIG. 3, the proportional symbol storage table 70 stores the registered proportional symbol expression registered in the later-described proportional symbol registration process (see FIG. 4) and the terms on both sides of the registered proportional symbol expression. This is stored in association with each other.

  The CPU 8 executes processing based on a predetermined program in accordance with an input instruction, and transfers instructions and data to each functional unit. Specifically, the CPU 8 reads a program or the like in the ROM 6 in accordance with an operation signal input from the input unit 4, expands it in the RAM 7, and executes processing. Then, the CPU 8 appropriately outputs a display control signal for displaying the processing result to the display unit 5 to display the corresponding information.

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

[3.1 Proportional symbol type registration process]
First, the operation of the scientific calculator 1 when a proportional symbol expression is registered will be described. FIG. 4 is a flowchart for explaining the operation of the proportional symbol type registration process in which the CPU 8 reads the proportional symbol type registration program 61 of the mathematical formula calculation program 60 from the ROM 6 and executes it.

  First, as shown in FIG. 4, the CPU 8 determines whether or not the proportional symbol registration mode is activated by the user via the various key groups 2 (step S1), and determines that it is not activated (step S1). ;) To other processing.

  If it is determined in step S1 that the proportional symbol type registration mode has been activated (step S1; Yes), when a proportional symbol type consisting of one term on each side is input by the user via the various key groups 2, The CPU 8 displays the input proportional symbol expression on the display 3 (step S2). In the present embodiment, the proportional symbol expression input in step S2 includes at least one variable.

  Next, the CPU 8 determines whether or not a proportional symbol type registration determination operation is performed by the user via the various key groups 2 (step S3), and if not determined (step S3; No), The process proceeds to step S2.

  Further, when it is determined in step S3 that the proportional symbol type registration determination operation has been performed (step S3; Yes), the CPU 8 sets the input proportional symbol type as the registered proportional symbol type, and both sides of the registered proportional symbol type. Are registered and stored in the proportional symbol type storage table 70 (step S4). At the same time, the CPU 8 displays on the display 3 that the proportional symbol expression has been registered.

  Next, the CPU 8 determines whether one side of the registered proportional symbol expression newly stored in step S4 is the same as one side of the registered proportional symbol expression stored in advance (step S5). If it is determined that they are not identical (step S5; No), the proportional symbol type registration process is terminated.

  In step S5, when it is determined that any one side of the newly stored registered proportional symbol expression is the same as any one side of the previously stored registered proportional symbol expression (step S5; Yes). The CPU 8 creates a new proportional symbol expression having a proportional relationship of the side obtained by multiplying the other side of the newly stored registered proportional symbol expression and the previously stored registered proportional symbol expression with respect to the same one side. Whether to create and register this new proportional symbol expression is displayed on the display 3 (step S6).

  Next, the CPU 8 determines whether or not the registration of the new proportional symbol expression created in step S6 is selected (step S7). If it is determined that the registration is not performed (step S7; No), the proportional symbol is determined. The expression registration process ends.

  If it is determined in step S7 that registration of a new proportional symbol expression has been selected (step S7; Yes), the CPU 8 sets the new proportional symbol expression as a registered proportional symbol expression, and Both the terms on both sides are registered and stored in the proportional symbol type storage table 70 (step S8), and the fact that this new proportional symbol type has been registered is displayed on the display 3, and then the proportional symbol type registration process is terminated.

[3.2 Proportional symbol type substitution process]
Next, the operation of the scientific calculator 1 when a proportional symbol expression is substituted will be described. FIG. 5 is a flowchart for explaining the operation of the proportional symbol type substitution process in which the CPU 8 reads the proportional symbol type substitution program 62 of the mathematical formula calculation program 60 from the ROM 6 and executes it.

  First, as shown in FIG. 5, the CPU 8 determines whether or not the proportional symbol substitution mode is activated by the user via the various key groups 2 (step T1), and determines that it is not activated (step T1). ;) To other processing.

  Further, when it is determined in step T1 that the proportional symbol substitution mode has been activated (step T1; Yes), when the mathematical expression to be computed by the user is input as an input formula through the various key groups 2, the CPU 8 performs this input. The expression is displayed on the display 3 (step T2). In the present embodiment, the input expression includes at least one variable, and is preferably a monomial or an equation.

  Next, the CPU 8 determines whether or not the user performs an input-type determination operation via the various key groups 2 (step T3), and if not (step T3; No), The process proceeds to step T2.

  On the other hand, if it is determined in step T3 that the input expression determination operation has been performed (step T3; Yes), the CPU 8 determines that any variable included in the input expression is a proportional symbol expression in the proportional symbol expression registration process described above. It is determined whether or not any of the variables included in the registered proportional symbol expression stored in the storage table 70 matches (step T4).

  In step T4, when all the variables included in the input expression do not match any variable included in the registered proportional symbol expression (step T4; No), the CPU 8 indicates that no corresponding proportional symbol expression exists. It is displayed on the display 3 (step T5), and the proportional symbol type substitution process is terminated.

  In step T4, if any variable included in the input expression matches any variable included in the registered proportional symbol expression (step T4; Yes), the CPU 8 determines that the corresponding registered proportional symbol expression. That is, a list of all registered proportional symbol expressions including any variable included in the input expression is displayed (step T6).

  Next, when one of the registered proportional symbol expressions is selected by the user via the various key groups 2 from the registered proportional symbol expressions displayed in a list (step T7), the CPU 8 includes addition / subtraction in the input expression. It is determined whether or not (step T8).

  When it is determined in step T8 that the input expression includes addition / subtraction (step T8; Yes), the CPU 8 displays on the display 3 that the registered proportional symbol expression cannot be substituted into the input expression (step T9), and the proportional symbol. The expression substitution process is terminated.

  On the other hand, if it is determined in step T8 that the input expression does not include addition / subtraction (step T8; No), the CPU 8 equalizes the side of the registered proportional symbol expression selected in step T7 and the input expression. The registered proportional symbol expression is modified so that the other side of the registered proportional symbol expression is displayed on the display 3 (step T10). In other words, the processing in step T10 is an operation of substituting the registered proportional symbol expression into the input expression so as to delete the variables included in both the registered proportional symbol expression and the input expression.

  Next, the CPU 8 determines whether or not a constant is included in the other side displayed in step T10 (step T11). If it is determined that the constant is not included (step T11; No), the proportional symbol formula substitution is performed. The process ends.

  On the other hand, when it is determined in step T11 that the other side includes a constant (step T11; Yes), the CPU 8 displays the other side on which the constant is omitted on the display 3 (step T12). The assignment process ends.

[4 Example of operation]
Next, the proportional symbol type registration process and the proportional symbol type substitution process will be specifically described.

[4.1 Operation example of proportional symbol type registration processing]
First, the proportional symbol type registration process will be specifically described.

  First, as shown in FIG. 6A, for example, after the user activates the proportional symbol type registration mode by operating the F1 key 25a (step S1; Yes), “R∝L” is set via the various key groups 2. When input, this proportional symbol expression is displayed on the display 3 (step S2). The proportional symbol expression “R∝L” is an expression indicating that the electric resistance “R” is proportional to the length “L” of the resistor.

  Next, when the user operates the EXE key 22 (step S3; Yes), as shown in FIG. 6B, the proportional symbol expression “R∝L” becomes the registered proportional symbol expression and the terms “R” on both sides. ”And“ L ”and the fact that the proportional symbol expression“ R∝L ”is registered is displayed on the display 3 (step S4).

  Since there is no other registered proportional symbol expression stored in advance at this time (step S5; No), the proportional symbol registration process is terminated.

Here, in this operation example, another proportional symbol expression is registered continuously.
Similarly to the above, first, as shown in FIG. 7A, after the user activates the proportional symbol type registration mode by operating the F1 key 25a (step S1; Yes), “R” is set via various key groups 2. When “∝1 / S” is input, this proportional symbol expression is displayed on the display 3 (step S2). The proportional symbol expression “R∝1 / S” is an expression indicating that the electric resistance “R” is inversely proportional to the cross-sectional area “S” of the resistor.

  Next, when the user operates the EXE key 22 (step S3; Yes), as shown in FIG. 7B, the proportional symbol expression “R∝1 / S” is used as a registered proportional symbol expression for each term on both sides. It is stored together with “R” and “1 / S”, and the fact that the proportional symbol expression “R∝1 / S” is registered is displayed on the display 3 (step S4).

  Next, the term “R” on the left side of the newly stored registered proportional symbol expression “R∝1 / S” and the pre-stored registered proportional symbol equation “R∝L” match. Therefore (step S5; Yes), as shown in FIG. 7C, "L" obtained by multiplying the matching term "R" by each right side "L" and "1 / S" of these registered proportional symbol expressions. A new proportional symbol expression “R∝L / S” having a proportional relationship with “/ S” is created, and a selection screen as to whether or not to register the proportional symbol expression is displayed (step S6).

  Next, when the user operates the EXE key 22 (step S7; Yes), as shown in FIG. 7D, a new proportional symbol expression “R∝L / S” is obtained as a registered proportional symbol expression on both sides. After being stored together with the terms “R” and “L / S” and displaying on the display 3 that the proportional symbol expression “R」 L / S ”has been registered (step S8), the proportional symbol expression registration process is terminated. The

[4.2 Examples of proportional symbol substitution processing]
Next, the proportional symbol type substitution process will be specifically described.

[4.2.1 Operation example of proportional symbol substitution processing (1)]
First, an example of the proportional symbol type substitution process will be specifically described.
First, as shown in FIG. 8A, for example, after the user activates the proportional symbol substitution mode by operating the F1 key 25a (step T1; Yes), “I = V / R via various key groups 2”. ”Is displayed on the display 3 (step T2). The input expression “I = V / R” is an expression indicating that a value obtained by dividing the voltage “V” by the electric resistance “R” is the current “I”.

  Next, when the user operates the EXE key 22 (Step T3; Yes), the variable “R” included in the input expression “I = V / R” is stored in the proportional symbol expression registration process described above. Since they are also included in the proportional symbol expressions “R∝L”, “R∝1 / S”, and “R∝L / S” (step T4; Yes), as shown in FIG. The expressions “R∝L”, “R∝1 / S”, and “R∝L / S” are listed on the display 3 (step T6).

  Next, when the user moves the cursor (not shown) to the registration proportional symbol expression “R∝L / S” by operating the direction key 24 and operates the EXE key 22 (step T7), the input expression Since “I = V / R” does not include addition / subtraction (step T8; No), as shown in FIG. 8C, the left side of the registered proportional symbol expression “R∝L / S” and the input expression “ The registered proportional symbol expression is modified so that “I = V / R” becomes equal, and the right side “VS / L” of the registered proportional symbol expression thus transformed is displayed on the display 3 together with the proportional symbol ( Step T10). In other words, the registered proportional symbol expression “R∝L / S” is added to the input expression “I = V / R” so that the “R” is deleted from the right side including “R” of the input expression “I = V / R”. ”Is substituted, and the right side“ VS / L ”as the substitution result is displayed on the display 3 together with the proportional symbol.

  Since the right side “VS / L” does not include a constant (step T11; No), the proportional symbol expression substitution process is terminated.

[4.2.2 Operation example of proportional symbol substitution processing (2)]
Next, another example of the proportional symbol type substitution process will be specifically described.
First, as shown in FIG. 9A, for example, after the user activates the proportional symbol substitution mode by operating the F1 key 25a (step T1; Yes), “R ₁ + R ₂ ” is set via various key groups 2. This input formula is displayed on the display 3 (step T2). At this time, in this operation example, it is assumed that registered proportional symbol expressions “R ₁ ∝L ₁ / S ₁ ” and “R ₂ ∝L ₂ / S ₂ ” are stored in advance by the proportional symbol expression registration process.

Next, when the user operates the EXE key 22 (step T3; Yes), the variables “R ₁ ” and “R ₂ ” included in the input expression “R ₁ + R ₂ ” are stored in advance as registered proportional symbols. Since they are also included in the formulas “R ₁ ∝L ₁ / S ₁ ” and “R ₂ ∝L ₂ / S ₂ ” (step T 4; Yes), as shown in FIG. “R ₁ ∝L ₁ / S ₁ ” and “R ₂ ∝L ₂ / S ₂ ” are listed on the display 3 (step T 6).

Next, when the user moves the cursor (not shown) to the registration proportional symbol expression “R ₁ ∝L ₁ / S ₁ ” by operating the direction key 24 and operates the EXE key 22 (step T 7). Since the input expression “R ₁ + R ₂ ” includes addition and subtraction (step T8; Yes), the display 3 indicates that the registered proportional symbol expression cannot be substituted into the input expression, as shown in FIG. 9C. Displayed (step T9), the proportional symbol type substitution process is terminated.

[4.2.3 Operation example of proportional symbol type substitution processing (3)]
Subsequently, a second example of the proportional symbol type substitution process will be specifically described.
First, as shown in FIG. 10A, for example, after the user starts the proportional symbol substitution mode by operating the F1 key 25a (step T1; Yes), “2R ₁ ” is input through the various key groups 2. Then, this input expression is displayed on the display 3 (step T2). At this time, in this operation example, it is assumed that the registered proportional symbol expression “R ₁ ∝L ₁ / S ₁ ” is stored in advance by the proportional symbol expression registration process.

Next, when the user operates the EXE key 22 (step T3; Yes), the variable “R ₁ ” included in the input expression “2R ₁ ” is stored in a registered proportional symbol expression “R ₁ ∝L _1”. / S ₁ "also for inclusion in (step T4; Yes), as shown in FIG. 10 (b), the registration proportional symbolic expression" R ₁ αL ₁ / S ₁ "is displayed on the display 3 (step T6).

Next, when the user moves the cursor (not shown) to the registration proportional symbol expression “R ₁ ∝L ₁ / S ₁ ” by operating the direction key 24 and operates the EXE key 22 (step T 7). , since the input expression "2R _1" is not included in the addition and subtraction (step T8; no), as shown in FIG. 10 (c), the left side of the registration proportional symbolic expression "R ₁ αL ₁ / S _1" The registered proportional symbol formula is doubled so that the input formula “2R ₁ ” becomes equal, and the right side “2L ₁ / S ₁ ” at that time is displayed on the display 3 together with the proportional symbol (step T 10). In other words, registration proportional symbolic expressions from the input formula "2R _1" to the input expression to "R _1" is erased, "2R _1", "R ₁ .alpha.L ₁ / S _1" is substituted, it is substituted into the result right “2L ₁ / S ₁ ” is displayed on the display 3 together with the proportional symbol.

Since the right side “2L ₁ / S ₁ ” includes the constant “2” (step T11; Yes), the right side “L ₁ / S ₁ ” when the constant “2” is omitted is proportional. The symbol is displayed on the display 3 together with the symbol (step T12), and the proportional symbol substitution process is terminated.

  According to the above scientific calculator 1, as shown in steps S2 to S4 in FIG. 4, steps T2 to T7 and T10 in FIG. 5, FIG. 6B, FIG. 8A to FIG. At least one proportional symbol expression including at least one variable and one term on each side is stored, and any variable included in an arbitrary expression input as an input expression is included in the registered proportional symbol expression If any of the registered proportional symbol expressions is selected based on a user operation, one side of the selected registered proportional symbol expression is equal to the input expression. The registered proportional symbol expression is transformed and the other side of the transformed proportional symbol expression is displayed, so that the variables included in both the input formula and the registered proportional symbol expression are deleted. The proportional symbol expression is assigned to the input expression, and Proportional symbolic expression, i.e. it is possible to confirm the expression having a proportional relationship to the input expression. Therefore, since it is possible to confirm the proportional relationship between other variables that are left without being deleted, it is possible to facilitate the understanding of the proportional relationship between these variables.

  Also, as shown in steps S5 to S8 of FIG. 4, FIGS. 7B to 7D, etc., a registered proportional symbol expression having one side identical to the newly stored registered proportional symbol expression is stored in advance. If this is the case, it is possible to further store a new proportional symbol expression having a proportional relationship with the side obtained by multiplying the other sides of each registered proportional symbol expression with respect to the same one side. The proportional relationship between variables is automatically extracted and stored without need. Therefore, understanding of the proportional relationship between variables can be further facilitated.

  Further, as shown in steps T11 and T12 of FIG. 5, FIG. 10C, etc., when a constant is included in the other side of the registered proportional symbol expression displayed by modifying the expression, the constant is omitted. Since the other side is displayed, the proportional symbol formula is simplified, and the understanding of the proportional relationship between the variables can be further facilitated.

  The present invention is not limited to the above-described embodiment, and various improvements and design changes may be made without departing from the spirit of the present invention.

It is an external view which shows the scientific calculator to which the numerical formula calculating apparatus which concerns on this invention is applied. It is a block diagram which shows the scientific calculator to which the mathematical formula calculating apparatus which concerns on this invention is applied. It is a figure which shows a proportional symbol type | formula memory | storage table. It is a flowchart which shows a proportional symbol type | formula registration process. It is a flowchart which shows a proportional symbol type | formula substitution process. It is a figure which shows the display content in a proportional symbol type | formula registration process. It is a figure which shows the display content in a proportional symbol type | formula registration process. It is a figure which shows the display content in a proportional symbol type | formula substitution process. It is a figure which shows the display content in a proportional symbol type | formula substitution process. It is a figure which shows the display content in a proportional symbol type | formula substitution process.

Explanation of symbols

1 Scientific calculator 4 Input unit 7 RAM
8 CPU
60 Formula Calculation Program

Claims (4)

Proportional symbol expression storage means for storing at least one proportional symbol expression including at least one variable and having both sides each having one term;
Formula input means for inputting an arbitrary formula including at least one variable as an input formula based on a user operation;
Proportional symbol expression display means for displaying a list of proportional symbol expressions when any variable included in the input expression matches any variable included in the proportional symbol expression stored in the proportional symbol expression storage means When,
Proportional symbol expression selecting means for selecting any proportional symbol expression among the proportional symbol expressions displayed in a list by the proportional symbol expression display means based on a user operation;
Of the variables included in the input formula, the proportional symbol formula is substituted into the input formula so that the same variable as the variable on one side of the proportional symbol formula selected by the proportional symbol formula selection means is deleted, Formula transformation result display means for transforming the proportional symbol formula and displaying the other side of the proportional symbol formula transformed,
A mathematical expression calculation device comprising: The expression modification result display means is the same as a variable on one side of the proportional symbol expression selected by the proportional symbol expression selection means among the variables included in the input expression only when addition or subtraction is not included in the input expression. The proportional symbol formula is substituted into the input formula so that the variable is deleted, the proportional symbol formula is transformed, and the other side of the proportional symbol formula transformed is displayed. The mathematical operation device according to claim 1. The proportional symbol type storage means includes:
The proportional symbol expression inputted by the mathematical expression input means can be stored based on a user operation,
When a proportional symbol expression having the same side as the newly stored proportional symbol expression is stored in advance, a side obtained by multiplying the same one side by the other sides of each proportional symbol expression is regarded as a proportional relationship. The mathematical expression calculation apparatus according to claim 1, further storing a new proportional symbol expression. On the computer,
A proportional symbol expression storage function for storing at least one proportional symbol expression including at least one variable and having one term on each side;
Formula input function for inputting an arbitrary formula including at least one variable as an input formula based on a user operation;
If any of the variables included in the input expression matches any of the variables included more stored proportional symbolic expression in the proportional symbolic expressions storage function, display proportional symbolic expression that lists the proportional symbolic expressions Function and
A proportional symbol expression selection function for selecting any proportional symbol expression from among the proportional symbol expressions displayed in a list by the proportional symbol expression display function based on a user operation;
Of the variables included in the input formula, the proportional symbol formula is substituted into the input formula so that the same variable as the variable on one side of the proportional symbol formula selected by the proportional symbol formula selection function is deleted, An expression transformation result display function for transforming the proportional symbol formula and displaying the other side of the proportional symbol formula transformed,
An arithmetic operation program characterized by realizing the above.

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