JP2011053911A - Numerical expression display device and program - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To use an area expressed by a numerical expression as a domain for a regional integration expression. <P>SOLUTION: A function electronic calculator 1 includes: a numerical expression storage area 120 for storing a plurality of numerical expressions; a key input part 14 for selecting at least one numerical expression stored in the numerical expression storage area 120 as a selected numerical expression group based on user operation; a numerical expression group table 131 in which a registration name is assigned to an area expressed by a graph of the selected numerical expression group based on user operation and the registration name and the selected numerical expression group are registered in association with each other; and a display 3. In the key input part 14, the regional integration expression using the registration name is input based on user operation. In the display 3, the regional integration expression is displayed using the registration name. <P>COPYRIGHT: (C)2011,JPO&amp;INPIT

Description

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

  2. Description of the Related Art Conventionally, in a mathematical expression display device such as a scientific calculator that displays mathematical expressions on a display, a plurality of mathematical expressions are displayed in a graph, and the area of a region surrounded by these graphs can be calculated (for example, , See Patent Document 1).

JP 2001-92789 A

  However, with the technique described in Patent Document 1, the region represented by the mathematical expression cannot be used as a region integral equation with the region being a domain.

  The subject of this invention is providing the numerical formula display apparatus and program which can be used for a region integral type by making the area | region represented by numerical formula into a domain.

In order to solve the above problems, the invention according to claim 1 is a mathematical expression display device,
Formula storage means for storing a plurality of formulas;
Formula selection means for selecting at least one formula stored in the formula storage means as a selected formula group based on a user operation;
An area registration unit that assigns an area name to the area represented by the graph of the selected formula group based on a user operation, and registers the area name and the selected formula group in association with each other;
Based on a user operation, a region integration equation input means for inputting a region integration equation using the region name;
A region integral expression display means for displaying the region integral equation using the region name;
It is characterized by providing.

The invention according to claim 2 is the mathematical expression display device according to claim 1,
The area registration means includes:
When a region name is registered for a region that does not have an area, a message indicating that the region does not have an area is displayed, and first formula graph confirmation means for displaying a graph of the selected formula group is included. Features.

According to a third aspect of the present invention, in the mathematical expression display device according to the first or second aspect,
The region integration type input means includes:
When a region integration expression using a region name having no area is input, a message indicating that the region does not have an area is displayed, and a second equation graph confirmation unit that displays a graph of the selected equation group It is characterized by having.

According to a fourth aspect of the present invention, in the mathematical expression display device according to the second or third aspect,
In a state where the graph of the selected formula group is displayed, an area designating unit for designating any area surrounded by these graphs as a designated area based on a user operation;
Formula correcting means for correcting the contents of formulas in the selected formula group so that the designated area is represented by the selected formula group;
It is characterized by providing.

According to a fifth aspect of the present invention, in the mathematical expression display device according to the fourth aspect,
A selected formula group display means for displaying the selected formula group;
This selected formula group display means
When the formula correction means corrects the content of the formula in the selected formula group, the correction location is identified and displayed.

The invention according to claim 6 is the mathematical expression display device according to claim 4 or 5,
The formula correcting means includes
In accordance with the designated area, an equal sign or an inequality sign in a formula in the selected formula group is corrected.

The invention according to claim 7 is the mathematical expression display device according to claim 6,
The formula correcting means includes
After correcting the equal sign or inequality sign in the formula in the selected formula group, when there are a plurality of areas represented by the graph of the selected formula group, and only a part of these areas is the specified area,
A range in the coordinate axis direction of the designated area is calculated, and an inequality indicating the range is added to the selection formula group.

According to the eighth aspect of the present invention, in the program, the computer
Formula storage function for storing multiple formulas;
Formula selection function for selecting at least one formula stored by the formula storage function as a selected formula group based on a user operation;
An area registration function for assigning an area name to the area represented by the graph of the selected formula group based on a user operation and registering the area name and the selected formula group in association with each other;
Based on a user operation, a region integration formula input function for inputting a region integration formula using the region name,
A region integral expression display function for displaying the region integral equation using the region name;
It is characterized by realizing.

  According to the present invention, when at least one mathematical expression is selected as a selected mathematical expression group based on a user operation, and an area name is given based on the user operation to the area represented by the graph of the selected mathematical expression group, this area name And the selected formula group are registered in association with each other, and the region integration formula using the region name is input and displayed using the region name based on a user operation. As a region, it can be used in a region integral formula.

It is a top view which shows schematic structure of a scientific calculator. It is a block diagram which shows the function structure of a scientific calculator. It is a flowchart which shows the flow of an area | region registration process. It is a flowchart which shows the flow of a drawing confirmation and area type | mold correction process. It is a flowchart which shows the flow of a region integration input process. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display. It is a figure which shows the display content of a display.

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

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

  The input key group 2 is a key group for receiving an input operation of a mathematical expression component such as a numerical value or an arithmetic symbol from a user or an instruction operation of various processes, and a plurality of keys each assigned a unique function. Has a key. In the present embodiment, the input key group 2 includes a numeric keypad 20, an operation symbol key 21, a cursor key 22, an EXE key 23, a DEL key 24, an EXIT key 25, a menu key 26, and the like.

  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 cursor key 22 is a key that is pressed when moving the cursor CR (see FIG. 6C, etc.) indicating the position to be edited or the position to be selected in the display 3 in a predetermined movement direction. In the form, it is configured to be able to input in four directions, up, down, left and right.

  The EXE key 23 is a key that receives an input operation of a process execution instruction or a determination instruction. For example, after the mathematical expression is input, the EXE key 23 functions as a key that instructs the execution of the arithmetic process. The DEL key 24 is a key for receiving a deletion operation such as a numerical value or a calculation symbol displayed on the display 3. The EXIT key 25 is a key that is pressed when instructing the end of various processes in the scientific calculator 1. The menu key 26 is a key for calling up a menu for executing each function in the scientific calculator 1. In the present embodiment, the menu key 26 is used to display the contents of the integration region in the region integration input process (see FIG. 5) described later. The menu is called.

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

  The touch panel 30 detects a contact position of an input pen (not shown) with respect to the display screen of the display 3 by a method such as an electromagnetic induction method, a magnetostriction method, or a pressure sensitive method, and outputs a signal of the contact position. . Specifically, on the display 3 in the present embodiment, a selection key 35, a registration key 31, a list key 32, a drawing key 33, a region integration key 34 (see FIG. 7A), and the like are displayed as soft keys. When a touch operation is performed on these keys, the touch panel 30 outputs a signal corresponding to the touched key.

Here, the selection key 35 is a key that is pressed when a mathematical expression is selected in an area registration process (see FIG. 3) described later.
The registration key 31 is a key that is pressed when registering a formula group (area) in an area registration process (see FIG. 3) described later.
The list key 32 is a key to be pressed when displaying a list of registered mathematical formulas and the like in a region registration process (see FIG. 3) described later.

The drawing key 33 is a key that is pressed when drawing a graph of a mathematical expression on the display 3.
The region integration key 34 is a key that is pressed when inputting an integration function formula of region integration in a region integration input process (see FIG. 5) described later.

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

  As shown in the figure, the scientific calculator 1 includes a key input unit 14, a display unit 15, a RAM (Random Access Memory) 12, a storage unit 13, and a CPU (Central Processing Unit) 11. Has been.

  The key input unit 14 includes the input key group 2 described above, and outputs an operation signal corresponding to the pressed key to the CPU 11.

  The display unit 15 includes the display 3 described above, and displays various types of information on the display 3 in accordance with display signals from the CPU 11. Further, the display unit 15 includes a touch panel 30 provided integrally with the display 3, and outputs contact position information of the input pen with respect to the display screen to the CPU 11.

  The RAM 12 is a volatile memory that temporarily stores information, and has a plurality of work areas that store various programs to be executed and data related to these various programs. For example, the RAM 12 in the present embodiment has a mathematical expression storage area 120 and a selected mathematical expression group storage area 121 as work areas.

  The mathematical formula storage area 120 stores and stores at least one mathematical formula input in a region registration process (see FIG. 3) described later.

  The selected formula group storage area 121 stores at least one formula (hereinafter referred to as a selected formula group) selected in an area registration process (see FIG. 3) described later.

  The storage unit 13 is a non-volatile memory composed of a ROM (Read Only Memory) or the like, and stores various programs and various data. Specifically, the storage unit 13 stores a mathematical expression display program 130 as a program according to the present invention and a mathematical expression group table 131.

  The mathematical expression display program 130 is a program for causing the CPU 11 to execute an area registration process (see FIG. 3) and an area integration input process (see FIG. 5) which will be described later.

  The formula group table 131 is configured to store and store a registered name in association with a formula group in an area registration process (see FIG. 3) described later.

  The CPU 11 centrally controls each part of the scientific calculator 1. Specifically, the CPU 11 expands a program specified from the system program and various application programs stored in the storage unit 13 in the RAM 12 and performs various processes in cooperation with the program expanded in the RAM 12. Execute.

[1.3 Operation of scientific calculator]
<Region registration process>
Subsequently, an area registration process in the operation of the scientific calculator 1 will be described.

  FIG. 3 is a flowchart for explaining the operation of the area registration processing. In this area registration process, when a user inputs an execution instruction for the area registration process via the touch panel 30 or the key input unit 14, the mathematical expression display program 130 is read from the storage unit 13 and appropriately expanded in the RAM 12. As a result, it is executed by the cooperation of the mathematical expression display program 130 and the CPU 11.

  As shown in this figure, in the area registration process, when the user first operates the input key group 2 to input mathematical expressions, the CPU 11 accumulates and stores each mathematical expression in the mathematical expression storage area 120 (step S1).

  Next, when the user selects at least one formula in the formula storage area 120 via the selection key 35 or the cursor key 22 (step S2), the CPU 11 selects the selected formula group, that is, the selected formula group. It is stored in the storage area 121, and it is determined whether or not the drawing key 33 is operated by the user (step S3). If it is determined that the drawing key 33 is not operated (step S3; No), the process proceeds to step S5 described later. .

  If it is determined in step S3 that the drawing key has been operated (step S3; Yes), the CPU 11 performs a drawing confirmation / regional correction process (step S4).

  Specifically, as shown in FIG. 4, the CPU 11 first displays a graph image represented by the selected formula group on the display 3 (step T <b> 1).

  Next, the CPU 11 determines whether or not any region surrounded by the graph is designated as the designated region by the user (step T2), and when not determined (step T2; No), by the user. It is determined whether or not the EXIT key 25 is operated (step T21). The area may be designated via the touch panel 30 or the cursor key 22.

  If it is determined in step T21 that the EXIT key 25 has been operated (step T21; Yes), the CPU 11 ends the drawing confirmation / regional correction process and determines that the EXIT key 25 has not been operated (step T21; No). Then, the process proceeds to another process.

  If it is determined in step T2 that the area on the graph image is designated by the user (step T2; Yes), the CPU 11 designates the first mathematical expression in the selected mathematical expression group as the designated mathematical expression (step T3). Then, it is determined whether or not the designated mathematical expression is an equation (step T4).

  When it is determined in step T4 that the designated mathematical expression is an equality (step T4; Yes), the CPU 11 corrects the equal sign in the designated mathematical expression to an inequality sign so that the designated area is represented, and the selected mathematical expression group. After the information in the storage area 121 is updated (step T5), the process proceeds to step T9 described later. Thereby, the equal sign in the formula in the selected formula group is corrected according to the designated area.

  When it is determined in step T4 that the designated mathematical expression is not an equality (step T4; Yes), the CPU 11 determines whether or not the designated mathematical expression is an inequality (step T6) and determines that the designated mathematical expression is not an inequality. If so (step T6; No), the process proceeds to another process.

  If it is determined in step T6 that the designated mathematical expression is an inequality (step T6; Yes), the CPU 11 determines whether the direction of the inequality sign in the designated mathematical expression matches the designated area (step T7). If it is determined that they match (step T7; Yes), the process proceeds to step T9 described later.

  If it is determined in step T7 that the direction of the inequality sign in the specified formula does not match the specified area (step T7; No), the CPU 11 changes the direction of the inequality sign in the specified formula so that the specified area is represented. It corrects and updates the information in the selected formula group storage area 121 (step T8). Thereby, the inequality sign in the formula in the selected formula group is corrected in accordance with the designated area.

  Next, the CPU 11 determines whether or not the next mathematical expression exists in the selected mathematical expression group (step T9). If it is determined that it exists (step T9; Yes), the next mathematical expression is designated as the designated mathematical expression. (Step T10), the process proceeds to Step T4 described above.

  If it is determined in step T9 that the next mathematical expression does not exist (step T9; No), the CPU 11 has a plurality of areas represented by a graph of the selected mathematical expression group in the selected mathematical expression group storage area 121, and It is determined whether or not only a part of these areas is the designated area, that is, whether or not there is an area surrounded by the graph other than the designated area (step T11). In T11; No), the drawing confirmation / regional correction process ends.

  If it is determined in step T11 that there is an area surrounded by the graph other than the designated area (step T11; Yes), the CPU 11 determines the designated area from the X coordinate of the intersection corresponding to the left end / right end of the designated area. A range in the X-axis direction is calculated (step T12).

  Next, the CPU 11 adds an inequality indicating this range, for example, “left end value ≦ X ≦ right end value” to the selected formula group and stores it in the selected formula group storage area 121 (step T13), and confirms drawing / region formula correction. The process ends. As a result, the contents of the formulas in the selected formula group are corrected so that the designated area is represented by the selected formula group. In steps T12 to T13 described above, the range in the X-axis direction of the designated area is calculated and an inequality indicating this range is added. However, the range in the Y-axis direction of the designated area is calculated, It is also possible to add an inequality by calculating a range in another coordinate axis direction, such as adding an inequality indicating this range.

  When the above drawing confirmation / regional correction processing is completed, the CPU 11 next determines whether or not the registration key 31 is operated as shown in FIG. 3 (step S5). In step S5; No), the process proceeds to another process.

  If it is determined in step S5 that the registration key 31 has been operated (step S5; Yes), the CPU 11 determines whether or not the area represented by the selected mathematical expression group has an area (step S6). When it is determined that there is an area (step S6; No), the process proceeds to step S11 described later.

  If it is determined in step S6 that the area represented by the selected formula group has no area (step S6; Yes), the CPU 11 displays a message indicating that the area represented by the selected formula group has no area. Then, a selection menu (not shown) as to whether or not to confirm drawing is displayed on the display 3 (step S7).

  Next, the CPU 11 determines whether or not the selection menu for confirming drawing is selected by the user (step S8). If it is determined that the selection menu is not selected (step S8; No), the CPU 11 proceeds to step S11 described later. Transition.

  If it is determined in step S8 that the selection menu for confirming drawing has been selected (step S8; Yes), the CPU 11 performs the same drawing confirmation / regional correction process as in step S4 (step S9). .

  Next, the CPU 11 allows the user to input the registered name of the selected mathematical formula group (step S11), and then associates the registered name with the selected mathematical formula group and stores it in the mathematical formula group table 131 (step S12). As a result, the registered name (region name) is stored in association with the region represented by the selected formula group. In step S11, as shown in FIG. 6D and the like described later, the CPU 11 displays a list of candidates that can be used as registered names on the display 3, and allows the user to select one of the candidates. good.

  Next, the CPU 11 displays the selected formula group and its registered name on the display 3 (step S13), and then displays a graph of the selected formula group on the display 3 (step S14). In step S13, when the contents of the formulas in the selected formula group have been corrected by the drawing confirmation / regional formula correction processing in steps S4 and S9, the CPU 11 identifies and displays the correction location. In the present embodiment, the correction part is described as being identified and displayed in bold, but it may be identified and displayed in other manners, such as by changing the color of the character and displaying it.

  Next, the CPU 11 determines whether or not the list key 32 is operated (step S15). Here, in the present embodiment, after the list key 32 is operated in step S15, a plurality of mathematical formula groups are collected by a process described later, and a new mathematical formula group is created.

  If it is determined in step S15 that the list key 32 has been operated (step S15; Yes), the CPU 11 lists the registered names registered in the formula group table 131 and the graph of the corresponding formula group on the display 3. The registered name is displayed by the user (step S16). If the registered name and graph cannot be displayed on the display 3 in step S16, the CPU 11 displays the registered name and graph on the display 3 by scroll display using the cursor key 22.

  Next, the CPU 11 determines whether or not a plurality of registered names are selected by the user (step S17). When it is determined that a plurality of registered names are not selected (step S17; No), the CPU 11 proceeds to another process.

  If it is determined in step S17 that a plurality of registered names have been selected (step S17; Yes), the CPU 11 determines whether or not the registration key 31 is operated by the user (step S18). When it determines (step S18; No), it transfers to another process.

  If it is determined in step S18 that the registration key 31 has been operated (step S18; Yes), the CPU 11 allows the user to input a registration name of a newly created mathematical expression group (step S19). In step S19, the CPU 11 may display a list of candidates that can be used as registered names on the display 3 and allow the user to select one of the candidates.

  Next, the CPU 11 collects a plurality of selected formula groups corresponding to the plurality of registered names selected in step S16 as a new selected formula group, and associates the registered names in step S19 with this selected formula group. Are registered in the formula group table 131 (step S20). Then, the CPU 11 causes the display 3 to display the contents of the selected formula group, and then proceeds to step S15 described above.

  If it is determined in step S15 that the list key 32 is not operated (step S15; No), the CPU 11 determines whether or not the drawing key 33 is operated (step S21).

  If it is determined in step S21 that the drawing key 33 has been operated (step S21; Yes), the CPU 11 displays a graph of the selected formula group on the display 3 (step S22), and then is surrounded by the graph. Is determined as a designated area by the user (step S23).

  When it is determined in step S23 that an area has been designated (step S23; Yes), the CPU 11 proceeds to the above-described step S4, and when it is determined that no area is designated (step S23; No), the above-described step. The process proceeds to step S15. In the case of shifting from the step S23 to the drawing confirmation / region correction processing in step S4, the CPU 11 may perform the drawing confirmation / region correction processing from step T3 without performing the above steps T1 to T2. (See FIG. 4). Further, when the process proceeds from step S23 to the drawing confirmation / region correction process in step S4, the CPU 11 deletes the mathematical expression added in step T13 described above from the selected mathematical expression group.

  If it is determined in step S21 that the drawing key is not operated (step S21; No), the CPU 11 determines whether the EXIT key 25 is operated (step S24).

  If it is determined in step S24 that the EXIT key 25 is not operated (step S24; No), the CPU 11 proceeds to another process, and if it is determined that the EXIT key 25 is operated (step S24; Yes), the area The registration process ends.

<Area integration input processing>
Next, the region integration input process among the operations of the scientific calculator 1 will be described.

  FIG. 5 is a flowchart for explaining the operation of the region integration input process. In this region integration input process, when a user inputs an execution instruction for the region integration input process via the touch panel 30 or the key input unit 14, the mathematical expression display program 130 is read from the storage unit 13 and appropriately stored in the RAM 12. As a result of the expansion, the mathematical expression display program 130 and the CPU 11 are executed in cooperation.

  As shown in this figure, in the region integration process, first, when the user performs a mathematical expression input start operation (step U1), the CPU 11 displays the mathematical expression input screen on the display 3, and then the region integration key 34 is displayed by the user. It is determined whether or not it is operated (step U2), and when it is determined that it is not operated (step U2; No), the process proceeds to another process.

  If it is determined in step U2 that the region integration key 34 has been operated (step U2; Yes), the CPU 11 displays the cursor CR on the display 3, and the integrand (f (x, y) in the integral function equation is displayed. )) Is input by the user (step U3).

  Next, the CPU 11 determines whether or not the cursor CR moves to the input area of the integration area in the integration function equation (step U4), and determines that it does not move (step U4; No), other processing is performed. Migrate to

  If it is determined in step U4 that the cursor CR has moved to the input area of the integration area (step U4; Yes), the CPU 11 registers any one of the formula group table 131 as the integration area name to the user. A name is input (step U5). In step U5, the CPU 11 may display a list of registered names in the formula group table 131 on the display 3 and allow the user to select one of the registered names.

  Next, the CPU 11 reads a mathematical expression group corresponding to the input registered name from the mathematical expression group table 131 as a selected mathematical expression group, and determines whether or not the area represented by the selected mathematical expression group has an area (step U6). ), When it is determined that there is an area (step U6; No), the process proceeds to step U10 described later.

  If it is determined in step U6 that the area represented by the selected formula group has no area (step U6; Yes), the CPU 11 displays a message indicating that the area represented by the selected formula group has no area. Then, a selection menu (not shown) as to whether or not to confirm drawing is displayed on the display 3 (step U7).

  Next, the CPU 11 determines whether or not the selection menu for confirming the drawing is selected by the user (step U8). When it is determined that the selection menu is not selected (step U8; No), the CPU 11 proceeds to step U10 described later. Transition.

  On the other hand, if it is determined in step U8 that the selection menu for confirming the drawing has been selected (step U8; Yes), the CPU 11 performs the drawing confirmation / regional correction process similar to that in step S4 (step S8). U9), the selected formula group and its registered name are displayed on the display 3 (step U10). Here, in this step U10, when the contents of the formulas in the selected formula group are corrected by the drawing confirmation / regional formula correction process in step U9, the CPU 11 identifies and displays the correction part.

  Next, the CPU 11 displays the registered name of the mathematical formula group input in step U5 in the input area of the integration area in the integral function formula (step U11). As a result, the region integration formula using the registered name is input and displayed.

  Next, the CPU 11 determines whether or not the user performs an operation for displaying the contents of the integration region via the menu key 26 or the like (step U12), and determines that the operation is not performed (step U12; No) shifts to Step U16 described later.

  If it is determined in step U12 that an operation for displaying the contents of the integration area has been performed (step U12; Yes), the CPU 11 stores a mathematical expression group corresponding to the registered name displayed in the input area of the integration area. Is read from the mathematical formula group table 131 and displayed on the display 3 (step U13).

  Next, the CPU 11 determines whether or not the drawing key 33 is operated by the user (step U14). If it is determined that the drawing key 33 is not operated (step U14; No), the process proceeds to step U16 described later.

  If it is determined in step U14 that the drawing key 33 has been operated (step U14; Yes), the CPU 11 causes the display 3 to display the graph of the mathematical formula group displayed in step U13 (step U15).

  Next, the CPU 11 determines whether or not the EXE key 23 is operated by the user (step U16). When it is determined that the EXE key 23 is not operated (step U16; No), the CPU 11 proceeds to another process.

  On the other hand, if it is determined in step U16 that the EXE key 23 has been operated (step U16; Yes), the CPU 11 performs an integral operation on the integral function expression input in steps U1 to U11, and displays the operation result on the display 3. (Step U17), and the region integration input process is terminated.

[1.4 Operation example]
Next, the operation of the scientific calculator 1 described above will be specifically described with reference to the drawings.

(Operation example 1)
First, as shown in FIGS. 6A and 6B, after the user inputs an instruction to execute the region registration process, a plurality of mathematical expressions “Y1 ≧ X ³ −3X”, “Y2 ≦ X”, “X3 ≧ "0" is input (step S1), and these formulas are selected as a selected formula group (step S2). In these formulas, subscripts attached to variables such as “Y1”, “Y2”, and “X3” indicate formula numbers. In this operation example, variables entered in lowercase letters in the formula are shown in uppercase letters for convenience. In FIG. 6B, a black triangle symbol is added to the selected formula.

Next, as shown in FIG. 6C, when the user does not operate the drawing key 33 (step S3; No) and operates the registration key 31 (step S5; Yes), the selected formula group “Y1 ≧ X ³ -3X ”,“ Y2 ≦ X ”, and“ X3 ≧ 0 ”are determined to have an area (step S6; No), and a registration name input screen is displayed on the display 3.

Next, as shown in FIGS. 6D to 6E, when the user inputs the registered name “DA” of the selected formula group (step S11), the selected formula groups “Y1 ≧ X ³ −3X”, “Y2”. ≦ X ”,“ X3 ≧ 0 ”and the registered name“ DA ”are associated with each other and registered in the formula group table 131 and displayed on the display 3 (step S13). Subsequently, as shown in FIG. 6F, a graph of the selected formula group is displayed on the display 3 (step S14).

  Then, when the user does not operate the list key 32 and the drawing key 33 (step S15; No, step S21; No) and operates the EXIT key 25 (step S24; Yes), the region registration process ends.

  Next, when the user inputs an execution instruction for the region integration input process and performs a mathematical expression input start operation (step U1), a mathematical expression input screen is displayed on the display 3, as shown in FIG.

  Next, as shown in FIG. 7B, when the user operates the region integration key 34 (step U2; Yes), an integration function equation in which the integrand and integration region portions are blank is displayed on the display 3. The cursor CR is displayed in the portion of the integrand (step U3).

Next, as shown in FIGS. 7C and 7D, after the user inputs the integrand “X ² + Y ² ” and moves the cursor CR to the input area of the integration area (step U4), When the registration name “DA” of the mathematical formula group (area) is input (step U5), the mathematical formula groups “Y1 ≧ X ³ −3X”, “Y2 ≦ X”, “X3 ≧” corresponding to the input registration name “DA”. After “0” is read from the formula group table 131, it is determined that there is an area in the region represented by this formula group (step U6; No). When the registered name is input in this operation example, as shown in FIG. 7D, registered names “DA”, “D”,... Are displayed in a list in the formula group table 131 and can be selected by the user. It is like that.

  Next, after the mathematical formula group and the registered name are displayed (step U10), as shown in FIG. 7E, the registered name “DA” of this mathematical formula group is displayed in the input area of the integration area in the integral function formula. (Step U11).

Next, as shown in FIG. 8A, when the user performs an operation to display the contents of the integration region (step U12; Yes), the mathematical expression group “Y1 ≧ X ³ ” corresponding to the registered name “DA”. −3X ”,“ Y2 ≦ X ”, and“ X3 ≧ 0 ”are displayed on the display 3 (step U13).

Then, as shown in FIG. 8B, when the user operates the drawing key 33, graphs of mathematical formula groups “Y1 ≧ X ³ −3X”, “Y2 ≦ X”, “X3 ≧ 0” are displayed on the display 3. (Step U15). In this operation example, when the user operates the EXE key 23 from this state, the integral function expression is displayed again as shown in FIG. 8C, and when the EXE key 23 is further operated (step U16; Yes). The calculation result is displayed.

(Operation example 2)
First, as shown in FIGS. 9A and 9B, after the user inputs an instruction to execute the region registration process, a plurality of mathematical expressions “Y1 = X ³ −3X” and “Y2 = X” are input ( In step S1), these mathematical expressions are selected as a selected mathematical expression group (step S2).

Next, as illustrated in FIG. 9C, when the user operates the drawing key 33 (step S <b>³; Yes), graphs represented by selected formula groups “Y1 = X ³ −3X”, “Y2 = X”. An image is displayed on the display 3 (step S4, step T1).

Next, as shown in FIG. 9D, when the user designates the area surrounded by the graph as the designated area (step T2; Yes), the selection formula group “Y1 = X ³ −3X”, “Y2 = X”. the beginning of a formula "Y1 = X ³ -3X" is determined to be an equality in (step T4; Yes), the equal sign "=" in formulas are modified inequality "≧", the formula "Y3 ≧ X the ³ -3X "(step T5). Similarly, it is determined that the second mathematical expression “Y2 = X” is an equality (step T4; Yes), the equal sign “=” in the mathematical expression is corrected to an inequality sign “≦”, and the mathematical expression is “Y4 ≦ X”. (Step T5). In this operation example, when a mathematical expression is modified, the subscript representing the mathematical expression number is changed to distinguish the mathematical expressions before and after the modification.

Then, it is determined that there are two regions represented by the graphs of the selected mathematical formula groups “Y3 ≧ X ³ −3X” and “Y4 ≦ X”, and there are regions surrounded by the graph other than the designated region (step T11). ; Yes), the inequality “0 ≦ X5 ≦ 2” indicating the range of the designated region in the X-axis direction is added to the selected mathematical formula group “Y3 ≧ X ³ −3X”, “Y4 ≦ X” (step T13).

Next, as shown in FIG. 9 (e), when the user operates the registration key 31 (step S5; Yes), the selected formula group “Y3 ≧ X ³ −3X”, “Y4 ≦ X”, “0 ≦ X5”. It is determined that there is an area in the region represented by ≦ 2 ”(step S6; No), and a registration name input screen is displayed on the display 3.

Next, as shown in FIGS. 9E to 9F, when the user inputs the registered name “D1” of the selected formula group (step S11), the selected formula groups “Y3 ≧ X ³ −3X”, “Y4” .Ltoreq.X "," 0.ltoreq.X5.ltoreq.2 "and the registered name" D1 "are registered in the mathematical expression group table 131 and displayed on the display 3 (step S13). At this time, the corrected part in the selected formula group is identified and displayed in bold.

Next, as shown in FIG. 9G, after the graph of the selected formula group is displayed on the display 3 (step S14), the user does not operate the list key 32 (step S15; No), and the drawing key. When 33 is operated (step S21; Yes), as shown in FIG. 10A, the graphs of the selected formula groups “Y3 ≧ X ³ −3X”, “Y4 ≦ X”, “0 ≦ X5 ≦ 2” are renewed. It is displayed on the display 3 (step S22).

Next, as shown in FIG. 10B, when the user designates another area surrounded by the graph as the designated area (step S23; Yes, step T2; Yes), the mathematical expression “0 ≦ 0” added in step T13 is displayed. After X5 ≦ 2 ”is deleted from the selected formula groups“ Y3 ≧ X ³ −3X ”,“ Y4 ≦ X ”,“ 0 ≦ X5 ≦ 2 ”, the selected formula groups“ Y3 ≧ X ³ −3X ”,“ Y4 The first mathematical expression “Y3 ≧ X ³ −3X” in ≦ X ”is an inequality, and it is determined that the direction of the inequality sign does not match the specified region (step T6; Yes, step T7; No), and the inequality sign“ ≧ ”in the mathematical expression. ”Is corrected to an inequality sign“ ≦ ”, and the mathematical expression becomes“ Y6 ≦ X ³ −3X ”(step T8). Similarly, it is determined that the second mathematical expression “Y4 ≦ X” is an inequality, and the direction of the inequality sign does not match the specified region (step T6; Yes, step T7; No), and the inequality sign “≦” in the mathematical expression is an inequality sign. It is corrected to “≧”, and the mathematical formula becomes “Y7 ≧ X” (step T8).

Then, it is determined that there are two regions represented by the graphs of the selected mathematical formula groups “Y6 ≦ X ³ −3X” and “Y7 ≧ X”, and there are regions surrounded by the graph other than the designated region (step T11). ; Yes), the inequality “−2 ≦ X8 ≦ 0” indicating the range of the designated region in the X-axis direction is added to the selected equation group “Y6 ≦ X ³ −3X”, “Y7 ≧ X” (step T13). .

Next, as shown in FIGS. 10C and 10D, when the user operates the registration key 31 (step S5; Yes) and inputs the registration name “D2” of the selected formula group (step S11), the selection is made. The mathematical formula group “Y6 ≦ X ³ −3X”, “Y7 ≧ X”, “−2 ≦ X8 ≦ 0” and the registered name “D2” are associated with each other and registered in the mathematical formula group table 131 and the display 3 Is displayed (step S13). At this time, the corrected part in the selected formula group is identified and displayed in bold.

  Next, as shown in FIGS. 10E to 10I, after the graph of the selected formula group is displayed on the display 3 (step S14), the user operates the list key 32 (step S15; Yes), When the registered names “D1” and “D2” are selected and the registration key 31 is operated (Step S17; Yes, Step S18; Yes) and the registered name “D” is input (Step S19), the registered name “D1” is registered. The selected formula groups corresponding to “D1” and “D2” are collected as a new selected formula group and displayed in association with the registered name “D” (step S20).

(Operation example 3)
First, as shown in FIG. 11A, after the user inputs an instruction to execute the area registration process, a plurality of mathematical expressions “Y1 ≦ X ² ”, “Y2 ≧ 2X ² ”, and “Y3 ≦ 2” are input. (Step S1), these mathematical expressions are selected as a selected mathematical expression group (Step S2).

  Next, when the user operates the registration key 31 (step S5; Yes), as shown in FIGS. 11B and 11C, a message indicating that the area represented by the selected formula group has no area; A menu for selecting whether to confirm drawing is displayed on the display 3 (step S7).

At this time, when the user selects a selection menu for confirming drawing (step S8; Yes), as shown in FIG. 11D, selection formula groups “Y1 ≦ X ² ”, “Y2 ≧ 2X ² ”, “ A graph image represented by “Y3 ≦ 2” is displayed on the display 3 (step S9, step T1). Further, as shown in FIGS. 11E and 11F, when the user designates an area surrounded by the graph as the designated area (step T2; Yes), the selection formula group “Y1 ≦ X ² ”, “Y2 ≧ 2X ² ”,“ Y3 ≦ 2 ”, the first mathematical expression“ Y1 ≦ X ² ”is an inequality, and it is determined that the direction of the inequality sign does not match the designated area (step T6; Yes, step T7; No). The inequality sign “≦” is corrected to the inequality sign “≧” (step T8). Similarly, it is determined that the second mathematical expression “Y2 ≧ 2X ² ” is an inequality, and the direction of the inequality sign does not match the designated region (step T6; Yes, step T7; No), and the inequality sign “≧” in the mathematical expression is The inequality sign “≦” is corrected (step T8).

However, in this operation example, the user does not select the selection menu for confirming drawing from the state of FIG. 11C (step S8; No), but the selection formula groups “Y1 ≦ X ² ”, “Y2 ≧ It is assumed that the registration name “D4” is registered in association with “2X ² ” and “Y3 ≦ 2” (step S11), and the region registration process is terminated.

From this state, after the user inputs an instruction to execute the region integration input process and starts the mathematical expression input (step U1), the region integration key 34 is depressed as shown in FIGS. 12 (a) and 12 (b). Operate (Step U2; Yes), input the integrand “X ² + Y ² ”, move the cursor CR to the input area of the integration area (Step U4), and enter the registered name “D4” of the formula group (area). When input (step U5), the mathematical formula groups “Y1 ≦ X ² ”, “Y2 ≧ 2X ² ”, and “Y3 ≦ 2” corresponding to the registered name “D4” are read from the mathematical formula group table 131. It is determined that there is no area in the represented area (step U6; Yes), and as shown in FIGS. 12C and 12D, a message to that effect and a menu for selecting whether to confirm drawing are displayed. 3 (step U7).

Next, when the user selects a selection menu for confirming drawing (step U8; Yes), as shown in FIG. 12E, selection formula groups “Y1 ≦ X ² ”, “Y2 ≧ 2X ² ”, “ A graph image represented by “Y3 ≦ 2” is displayed on the display 3 (step U9, step T1).

Next, as shown in FIG. 12E, when the user designates an area surrounded by the graph as a designated area (step T2; Yes), a selection formula group “Y1 ≦ X ² ”, “Y2 ≧ 2X ² ”, a head of the mathematical expression "Y1 ≦ X ^2" is inequality in the "Y3 ≦ 2", it is determined that the inequality orientation does not match the designated region (step T6; Yes, step T7; no), the inequality sign "≦ in formula Is corrected to an inequality sign “≧” (step T8). Similarly, it is determined that the second mathematical expression “Y2 ≧ 2X ² ” is an inequality, and the direction of the inequality sign does not match the designated region (step T6; Yes, step T7; No), and the inequality sign “≧” in the mathematical expression is The inequality sign “≦” is corrected (step T8).

  Then, as shown in FIG. 12 (f), the selected formula group and the registered name “D4” are displayed (step U10). At this time, the corrected part in the selected formula group is identified and displayed in bold.

Next, as shown in FIG. 12G, the registered name “D4” of the mathematical formula groups “Y1 ≧ X ² ”, “Y2 ≦ 2X ² ”, “Y3 ≦ 2” is the input area of the integration region in the integration function equation (Step U11).

Next, when the user performs an operation to display the contents of the integration region (step U12; Yes), as shown in FIG. 13A, a mathematical expression group “Y1 ≧ X ² ” corresponding to the registered name “D4”. , “Y2 ≦ 2X ² ”, “Y3 ≦ 2” are displayed on the display 3 (step U13).

Then, when the user operates the drawing key 33, as shown in FIG. 13B, graphs of mathematical formula groups “Y1 ≧ X ² ”, “Y2 ≦ 2X ² ”, “Y3 ≦ 2” are displayed on the display 3. (Step U15).

  As described above, according to the present embodiment, as shown in steps S1 to S12 of FIG. 3, steps U1 to U11 of FIG. 5, FIG. 6, FIG. When a registered name is given based on a user operation to the area represented by the graph of the selected mathematical formula group, the registered name and the selected mathematical formula group are registered in association with each other, based on the user operation. Since the region integration formula using the registered name is input and displayed using the registered name, the region represented by the mathematical expression can be used as the domain in the region integration formula.

  Further, as shown in steps S7 to S9 of FIG. 3, FIGS. 11A to 11C, etc., when a registered name is stored for a region having no area, the fact that the region does not have an area is indicated. Since the message is displayed, it is possible to prevent a region having no area from being used in the region integration formula. In this case, since the graph of the selected formula group is displayed, an error in the formula can be confirmed from the graph of the selected formula group.

  In addition, as shown in steps U7 to U9 of FIG. 5, FIGS. 12A to 12C, and the like, when a region integration expression using a registered name having no area is input, the area has the area. Since the message indicating that the area is not present is displayed, it is possible to more reliably prevent the area having no area from being used in the area integral expression. In this case, since the graph of the selected formula group is displayed, an error in the formula can be confirmed from the graph of the selected formula group.

  In addition, as shown in steps T1 to T10 of FIG. 4, FIGS. 11D to 11F, FIGS. 12E to 12F, and the like, the graph of the selected formula group is displayed, and these are displayed. When any area surrounded by the graph is designated as a designated area based on a user operation, the content of the formula in the selected formula group is modified so that the designated area is represented by the selected formula group. Even when the region represented by the group is different from the region intended by the user, the region intended by the user can be used in the region integration formula.

  Further, as shown in step S13 of FIG. 3, step S10 of FIG. 5, FIG. 9 (f), FIG. 10 (d), FIG. 11 (f), FIG. When the contents are corrected, the correction formula is identified and displayed, and the selected formula group is displayed. Therefore, if the area represented by the selected formula group and the area intended by the user are different, the selected formula group You can check the place that was wrong.

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

1 Scientific calculator 2 Input key group 3 Display 11 CPU
12 RAM
13 Storage Unit 14 Key Input Unit 15 Display Unit 30 Touch Panel 130 Formula Display Program 131 Formula Group Table

Claims (8)

Formula storage means for storing a plurality of formulas;
Formula selection means for selecting at least one formula stored in the formula storage means as a selected formula group based on a user operation;
An area registration unit that assigns an area name to the area represented by the graph of the selected formula group based on a user operation, and registers the area name and the selected formula group in association with each other;
Based on a user operation, a region integration equation input means for inputting a region integration equation using the region name;
A region integral expression display means for displaying the region integral equation using the region name;
A mathematical expression display device comprising: The mathematical formula display device according to claim 1,
The area registration means includes:
When a region name is registered for a region that does not have an area, a message indicating that the region does not have an area is displayed, and first formula graph confirmation means for displaying a graph of the selected formula group is included. A mathematical expression display device. In the mathematical expression display device according to claim 1 or 2,
The region integration type input means includes:
When a region integration expression using a region name having no area is input, a message indicating that the region does not have an area is displayed, and a second equation graph confirmation unit that displays a graph of the selected equation group A mathematical expression display device comprising: The mathematical expression display device according to claim 2 or 3,
In a state where the graph of the selected formula group is displayed, an area designating unit for designating any area surrounded by these graphs as a designated area based on a user operation;
Formula correcting means for correcting the contents of formulas in the selected formula group so that the designated area is represented by the selected formula group;
A mathematical expression display device comprising: The mathematical formula display device according to claim 4,
A selected formula group display means for displaying the selected formula group;
This selected formula group display means
A mathematical expression display device for identifying and displaying a correction portion when the content of a mathematical expression in the selected mathematical expression group is modified by the mathematical expression correcting means. The mathematical expression display device according to claim 4 or 5,
The formula correcting means includes
An equation display apparatus that corrects an equal sign or an inequality sign in a formula in the selected formula group in accordance with the designated area. The mathematical formula display device according to claim 6, wherein
The formula correcting means includes
After correcting the equal sign or inequality sign in the formula in the selected formula group, when there are a plurality of areas represented by the graph of the selected formula group, and only a part of these areas is the specified area,
A mathematical expression display device characterized by calculating a range of the designated region in the coordinate axis direction and adding an inequality indicating the range to the selected mathematical formula group. On the computer,
Formula storage function for storing multiple formulas;
Formula selection function for selecting at least one formula stored by the formula storage function as a selected formula group based on a user operation;
An area registration function for assigning an area name to the area represented by the graph of the selected formula group based on a user operation and registering the area name and the selected formula group in association with each other;
Based on a user operation, a region integration formula input function for inputting a region integration formula using the region name,
A region integral expression display function for displaying the region integral equation using the region name;
A program characterized by realizing.

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