JP2000148738A - Device and method for mathematical expression input and display, and recording medium where mathematical input and display program is recorded - Google Patents

Abstract

PROBLEM TO BE SOLVED: To easily input a mathematical expression by using a computer and to display the inputted mathematical expression on the same screen with a document by automatically adjusting the balance with the document. SOLUTION: Mathematical expression data are composed of mathematical expression object information 4 and a tree structure 2. A mathematical expression pattern information memory 1 is stored with tree structures 2 corresponding to various mathematical expression patterns. A tree structure restructuring part 9 restructures a tree structure and updates the mathematical expression object information. A mathematical expression display part 10 displays a mathematical expression in a mathematical expression temporary display area on a text screen according to the mathematical expression data when the mathematical expression object information is updated and the tree structure is restructured. A complete mathematical expression display part 11 displays the mathematical expression on the text screen after the mathematical expression input processing by adjusting its layout relatively to the document according to the mathematical expression data.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an apparatus and a method for inputting mathematical expressions and displaying them on a display using a computer, and a computer-readable recording medium recording a program for inputting mathematical expressions and displaying the same on a display. Things.

[0002]

2. Description of the Related Art Some mathematical formulas, such as fractional formulas, integral formulas, formulas for calculating extreme values and sums, and the like, differ in size (particularly height) from characters and symbols constituting sentences. It is difficult to display these mathematical expressions on the same screen in good balance with the sentence. In addition, when displaying mathematical formulas, for example, there is a custom of displaying mathematical formulas that are developed while being sequentially connected by equal signs, by using equal signs.

[0003] When a document in which such sentences and mathematical expressions are mixed is displayed on a computer display,
It is necessary to consider not only the balance between the expression and the sentence but also the balance of the expression itself, and the difficulty of display increases.

[0004] By the way, currently used mathematical expression input
There are the following three display methods. That is,
(1) A method of inputting and displaying in the same text format as a document, (2) A method of inputting and displaying a mathematical expression as a graphic, and (3) An instruction of the content of a mathematical expression is input in a text format, and the computer How to process and display with.

Among these methods, (1) and (2)
According to the method described above, it is possible to input a mathematical expression while always checking the balance between a sentence and a mathematical expression, but the input method itself is complicated,
Moreover, a balanced display is not always possible. In addition, according to the method (3), since the mathematical expression cannot be displayed unless the processing inside the computer is performed, it is inconvenient to gradually complete the mathematical expression while repeating the correction.

[0006]

SUMMARY OF THE INVENTION Accordingly, an object of the present invention is to make it possible to easily input a mathematical expression by using a computer, and to automatically adjust the balance of the input mathematical expression with the text while displaying the same screen as the text. Is to be able to be displayed above.

[0007]

According to the present invention, there is provided an apparatus for inputting a mathematical expression using a computer and displaying the mathematical expression on a display, wherein a tree structure corresponding to various mathematical expression patterns is stored in advance. A mathematical pattern information memory, a new tree structure constructing unit for constructing a first tree structure below the mathematical object information when the mathematical formula input process is started, and an event acquiring unit for acquiring an event from a keyboard or a mouse. An event determining unit that outputs a mathematical formula input processing continuation command or a mathematical formula input process ending command based on the event information obtained by the event obtaining unit; and Tree structure for searching where in the tree structure an input is made based on information An input position search unit, based on the event information acquired by the event acquisition unit, when it is determined that a mathematical expression pattern is input, a tree structure corresponding to the mathematical expression pattern is searched from the mathematical expression pattern information memory, and in the tree structure Based on the search result by the input position search unit, the searched tree structure is newly added to reconstruct the tree structure. If it is determined that the mathematical pattern has not been input, the input position search in the tree structure is performed. A tree structure reconstructing unit that reconstructs the tree structure based on the search result by the unit, and updates the mathematical formula object information after the tree structure is reconstructed; and an updated mathematical formula object information and the reconstructed tree. Formula display, based on the structure, displays the formula in the temporary formula display area secured in the text screen of the display When receiving a mathematical expression input processing end command from the event determination unit, the mathematical expression input processing is terminated, and the mathematical expression displayed in the mathematical expression temporary display area is adjusted on the text screen of the display to a layout with a sentence. And a completed mathematical expression display unit for displaying the completed mathematical expression.

Further, according to the present invention, there is provided a method of inputting a mathematical expression using a computer and displaying the mathematical expression on a display, wherein (1) a tree structure corresponding to various mathematical expression patterns is represented by mathematical pattern information. Pre-stored in memory; (2) constructing an initial tree structure below the mathematical object information; and (3) acquiring events from the keyboard or mouse;
(4) a step of determining whether or not to continue the mathematical expression input process based on the information of the event; and (5) a case where the mathematical expression input process is to be continued. It is searched whether an input has been made at the position, and (a) based on the information of the event,
If it is determined that a mathematical pattern has been input, a tree structure corresponding to the mathematical pattern is searched from the mathematical pattern information memory, and the searched tree structure is newly added to reconstruct the tree structure. If it is determined that the formula pattern has not been input, the tree structure is reconstructed, and after the tree structure is reconstructed, the formula object information is updated, and the updated formula object information and the reconstructed formula object are updated. When the mathematical expression is displayed in the mathematical expression temporary display area secured in the text screen of the display based on the tree structure, and then the process returns to the step (3), and (6) the mathematical expression input process is terminated. Displaying the formula displayed in the formula temporary display area on the text screen of the display by adjusting the layout with a sentence And step is solved by a formula input and display method characterized by comprising the.

Further, according to the present invention, there is provided the above-mentioned object.
(1) storing tree structures corresponding to various mathematical patterns in a mathematical pattern information memory in advance;
(2) a procedure for constructing an initial tree structure below the mathematical formula object information; (3) a procedure for acquiring an event from a keyboard or a mouse; and (4) a mathematical formula input process is continued based on the event information. And (5) to continue the mathematical expression input process,
Based on the mathematical formula object information, a search is performed to find a position in the tree structure where an input is performed,
(A) When it is determined based on the event information that a mathematical pattern has been input, a tree structure corresponding to the mathematical pattern is searched from the mathematical pattern information memory, and the searched tree structure is newly added to the tree. The structure is reconstructed. (B) If it is determined that the mathematical expression pattern has not been input, the tree structure is reconstructed, and the tree structure is reconstructed. And, based on the updated mathematical object information and the reconstructed tree structure, display the mathematical expression in a mathematical expression temporary display area secured in the text screen of the display, and then return to the procedure of (3). And (6) when ending the mathematical expression input process, the mathematical expression displayed in the mathematical expression temporary display area is displayed on the display. To strike the screen, by executing the procedure for displaying and adjusting the layout of the text, to the computer to enter a formula is solved by a computer-readable recording medium storing a program to be displayed on the display.

[0010]

BRIEF DESCRIPTION OF THE DRAWINGS FIG.
A preferred embodiment of the present invention will be described. FIG. 1 is a hardware configuration diagram of a formula input / display device according to the present invention, and FIG. 2 is a flowchart showing a series of procedures executed by the device of FIG. The apparatus according to the present invention is such that a programmed computer inputs mathematical expressions and displays them on a display. Hereinafter, a series of procedures performed by the device according to the present invention will be described.

Referring to FIGS. 1 and 2, a mathematical expression pattern information memory 1 stores a tree structure 2 corresponding to various mathematical expression patterns in advance. And
When the mathematical expression input processing is started (see S1 in FIG. 2), the tree structure new construction unit 3 causes the mathematical object information 4
The first tree structure 2 is constructed below (S2 in FIG. 2)
reference).

Here, the mathematical expression object information 4 relates to displaying the entire mathematical expression on the display 5, including the current position of the cursor on the screen of the display 5, the size of the entire mathematical expression when output to the display 5, and the like. Refers to information. The tree structure 2 is defined as a minimum unit data including any information of an operator, parentheses, and a function identifier as a vertex, and a lower unit data including a character, a numerical value, and any information of a variable and a function below the minimum unit data. Is a hierarchical structure that branches off one after another. FIG. 3 shows a table that generalizes the correspondence between mathematical pattern and tree structure for typical mathematical patterns. In FIG.
Each of the rectangles drawn by double lines represents the minimum unit data. Note that the first tree structure constructed by the tree structure new construction unit 3 is composed of only one blank minimum unit data connected to the lower part of the mathematical expression object information 4.

According to the present invention, the mathematical expression data has a data structure composed of mathematical expression object information 4 and a tree structure 2, and the display 5 according to the mathematical expression data.
The formula is displayed.

Referring again to FIG. 1 and FIG. 2, an event from the keyboard or mouse is acquired by the event acquiring unit 6 (see S3 in FIG. 2), and the event determining unit 7
Is based on the event information acquired by the event acquisition unit 6.
It outputs a formula input processing continuation command or a formula input process end command (see S4 in FIG. 2).

The tree structure input position search unit 8 determines, based on the mathematical expression object information 4, which position in the tree structure 2 an input has been made when receiving the mathematical expression input processing continuation command from the event determining unit 7. Search (S in FIG. 2)
5). By this search, for example, it is possible to determine whether the next branch of the tree structure is placed below which minimum unit data or whether to increase the minimum unit data.

Next, when the tree structure reconstructing unit 9 determines that a mathematical expression pattern has been input based on the event information acquired by the event acquiring unit 6 (see S6 in FIG. 2),
The tree structure 2 corresponding to the mathematical pattern is searched from the mathematical pattern information memory 1 (see S7 in FIG. 2), and based on the search result by the input position searching unit 8 in the tree structure, the searched tree structure 2 is newly added. The tree structure 2 is reconstructed (see S8 in FIG. 2), but if it is determined that the mathematical expression pattern has not been input (see S6 in FIG. 2), the search result by the input position search unit 8 in the tree structure is displayed. Based on
The tree structure is reconstructed (see S8 in FIG. 2). Further, after reconstructing the tree structure, the mathematical object information 4
Is updated (see S9 in FIG. 2).

FIG. 4 is a diagram for explaining how the processes of S4 to S8 in FIG. 2 are specifically performed.
(B) shows a case where “2” is input after 2 at y = 2, (B) shows a case where “+” is input after 2 at y = 2, and (C) shows a case where “+” is input after 2 at y = 2. The case where “√” is input after 2 at y = 2 is shown.

In FIG. 4A, since the numerical value "2" is input, the existing minimum unit data (including the information of the numerical value 2)
Only the contents of have been changed. In FIG. 4B, since the operator “+” is input, a new tree structure (A) is added in place of the existing minimum unit data (including the information of Numerical Value 2). At this time, as can be seen from the table in FIG. 3, since two minimum unit data always branch below the operator, a blank minimum unit data is attached below “+” in addition to “2”. ing. This blank portion becomes a black rectangle when displayed on the display 5 as described later, and guides the user to input. The same applies to blanks below "@" in FIG.

Referring again to FIGS. 1 and 2, the mathematical expression display unit 10 secures the mathematical expression in the text screen of the display 5 based on the updated mathematical expression object information 4 and the reconstructed tree structure 2. It is displayed in the displayed mathematical expression temporary display area (see S10 in FIG. 2). Then, the processing of S3 to S10 in FIG. 2 is repeated again until the event determination unit 7 issues a mathematical expression input processing end command.

FIG. 5 shows a state during the mathematical expression input processing (S1 in FIG. 2).
An example of a display that is made in the mathematical expression temporary display area of the display during the processing of S3 and S2 and the processing of S3 to S10 in FIG. 2 is repeated) is shown. In FIG.
A rectangle drawn by a broken line is a mathematical expression temporary display area.

FIG. 5 (A) shows that the mathematical expression input processing is started,
This is a display displayed on the display 5 when the first tree structure is constructed by the new tree structure construction unit 3. 5A, “y” is input as shown in FIG. 5B, and then, as shown in FIG. 5C, when “=” is input. , A black rectangular cursor is displayed to the right of “=”, and the next input is guided.

Further, as shown in FIG.
When "x" is input and "+" is input as shown in FIG. 5E, a black rectangular cursor is displayed again to the right of "+", and the next input is guided.

FIG. 6 shows another example of a display provided in the mathematical expression temporary display area of the display. This is a display made when an integration symbol is input as a mathematical pattern, and three black rectangles for guiding the input of Expressions 1, 2, and 3 in the table of FIG. 3 are displayed.

Then, by inputting only the portion indicated by the black rectangle on the display 5, the mathematical formula is completed, so that the mathematical formula can be easily input.

FIG. 7 shows an example of a correspondence relationship between the mathematical expression displayed in the mathematical expression temporary display area secured in the text screen of the display and the mathematical expression data (the mathematical expression object information + tree structure). (A) shows the mathematical expression displayed in the mathematical expression temporary display area of the display, and (B) shows the corresponding mathematical expression data. In the present invention, the mathematical expression temporary display area of the display is processed as one character on the text screen.

In addition, there is a custom that, when displaying mathematical expressions that are sequentially connected by an equal sign, the developed mathematical expressions are aligned and displayed with an equal sign. For example, as shown in FIG. 8A, mathematical expressions connected by an equal sign are developed and displayed at the position of the equal sign as shown in FIG. 8B.

According to the present invention, information for equalizing is stored in the minimum unit data as one of the function identifiers in order to perform the equalizing process. FIG. 9 shows a specific tree structure in the case of equality alignment. In FIG. 9,
The reason why the blank minimum unit data is included is that all processes can be performed regardless of the number of mathematical formulas to be equalized.

The equality alignment is stored in the mathematical expression pattern information memory 1 as one of the mathematical expression patterns. When the equality alignment is selected as the mathematical expression pattern, the tree structure reconstruction processing (see S8 in FIG. 2) ), The tree structure is reconstructed with the function identifier storing the equality alignment information at the top.

Referring again to FIGS. 1 and 2, when the completed mathematical expression display unit 11 receives a mathematical expression input process end command from the event determination unit 7, the completed mathematical expression input process ends (see S11 in FIG. 2). At the same time, the formula displayed in the formula temporary display area is displayed on the text screen of the display 5 in accordance with the formula data (having a data structure including the formula object information 4 and the tree structure 2 as described above). The display is adjusted (for example, by adjusting the line feed and line spacing setting) (see S12 in FIG. 2). FIG.
Shows a state in which the input mathematical expression is displayed on the text screen of the display together with the sentence after the layout adjustment.

As described above, according to the mathematical expression input / display device of the present invention, mathematical expressions can be easily input directly into the text screen of the display with a feeling close to handwriting. Can be automatically adjusted and displayed along with the text on the text screen of the display. Further, it is easy to display the mathematical expressions while aligning the equations.

[0031]

As described above, according to the present invention, it is possible to easily input a mathematical expression, and to display the input mathematical expression on the same screen as the text while automatically adjusting the balance with the text. it can.

[Brief description of the drawings]

FIG. 1 is a hardware configuration diagram of a mathematical formula input / display device according to an embodiment of the present invention.

FIG. 2 is a flowchart showing a series of procedures executed by the apparatus of FIG.

FIG. 3 is a diagram showing a table in which the correspondence between a mathematical expression pattern and a tree structure is generalized for a representative mathematical expression pattern.

4A and 4B are diagrams for explaining how the processes of S4 to S8 in FIG. 2 are specifically performed. FIG. 4A is a diagram in which “2” is input after 2 at y = 2. About the case
(B) shows the case where “+” is input after 2 at y = 2, and (C) shows the case where “√” is input after 2 at y = 2.

FIG. 5 is a diagram showing an example of a display displayed in a mathematical expression temporary display area of a display during a mathematical expression input process.

FIG. 6 is a diagram showing another example of a display displayed in a mathematical expression temporary display area of a display.

7A and 7B are diagrams illustrating an example of a correspondence relationship between a mathematical expression displayed in a mathematical expression temporary display area of a display and mathematical expression data, and FIG. 7A illustrates a mathematical expression displayed in a mathematical expression temporary display area of the display; (B) shows corresponding mathematical formula data.

FIG. 8 is a diagram illustrating an expression for aligning mathematical expressions with equal signs;
(A) shows a mathematical expression developed by connecting with an equal sign, and (B) shows a mathematical expression aligned at the position of the equal sign.

FIG. 9 is a diagram showing a specific tree structure in the case of equality alignment.

FIG. 10 is a diagram showing a state in which an input mathematical expression is displayed on a text screen of a display together with a sentence after layout adjustment.

[Explanation of symbols]

 REFERENCE SIGNS LIST 1 mathematical pattern information memory 2 tree structure 3 tree structure new construction unit 4 mathematical object information 5 display 6 event acquisition unit 7 event determination unit 8 tree structure input position search unit 9 tree structure reconstruction unit 10 mathematical expression display unit 11 completed mathematical expression display Department

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[Procedure amendment]

[Submission date] December 1, 1998 (1998.12.
1)

[Procedure amendment 1]

[Document name to be amended] Drawing

[Correction target item name] Fig. 7

[Correction method] Change

[Correction contents]

FIG. 7

Continued on the front page (72) Inventor Saori Kizu Entering 647-7 Aikoku-ji Monzencho Yayoi Heights 101 entering Karasuma west of Kamino-ku, Kyoto-shi, Kyoto (72) Inventor Yoshinori Kikuta Nishiura Fukakusa-ku, Kyoto-shi, Kyoto No. 7-12, Chambre Fukakusa 2B (72) Inventor Norihisa Nakajima 36-26, Gogasho, Ubari, Kyoto Prefecture 36-26 F Term (Reference) 5B009 KA08 NB01 NB07 NC01 RB31 5B050 BA06 BA16 BA20 EA19 FA02 5C082 AA01 BA02 BA03 CA51 CA55 CB01 CB06 DA87 DA89 MM09 MM10 5E501 AA01 BA05 CA02 CB02 CB09 FA02 FA13 FB21 FB23

Claims (3)

[Claims] 1. Using a computer, input a mathematical formula,
A device for displaying on a display, a formula pattern information memory in which tree structures corresponding to various formula patterns are stored in advance, and a first tree structure below the formula object information when formula input processing is started. Tree structure constructing unit, an event acquiring unit for acquiring an event from a keyboard or a mouse, and an event determination for outputting a mathematical expression input processing continuation instruction or a mathematical expression input processing end instruction based on the event information acquired by the event acquiring unit. And a tree structure input position search unit that searches for a position in the tree structure where an input has been performed based on the mathematical expression object information when receiving a mathematical expression input processing continuation instruction from the event determination unit. A mathematical pattern is input based on the event information acquired by the event acquiring unit. When it is determined, the tree structure corresponding to the mathematical pattern is searched from the mathematical pattern information memory, and the searched tree structure is newly added based on the search result by the input position searching unit in the tree structure. Is performed, but if it is determined that the mathematical pattern has not been input, the tree structure is reconstructed based on the search result by the tree structure input position search unit, and after the tree structure is reconstructed, A tree structure reconstructing unit for updating the formula object information, and a formula for displaying a formula in a formula temporary display area secured in a text screen of a display based on the updated formula object information and the reconstructed tree structure. A display unit, when receiving a mathematical expression input process end command from the event determination unit,
Completion of the mathematical expression input process, the mathematical expression displayed in the mathematical expression temporary display area, on the text screen of the display, a completed mathematical expression display unit for adjusting and displaying the layout with the text, A mathematical formula input / display device characterized by the following. 2. Using a computer, input a mathematical formula,
A method for displaying on a display, wherein (1) storing tree structures corresponding to various mathematical patterns in a mathematical pattern information memory in advance, and (2) constructing an initial tree structure below the mathematical object information. (3) obtaining an event from the keyboard or mouse; (4) determining whether to continue the formula input process based on the event information; and (5) continuing the formula input process. If so, a search is performed to find where in the tree structure the input has been made based on the mathematical formula object information, and (a) if it is determined that a mathematical formula pattern has been input based on the event information, A tree structure corresponding to a mathematical pattern is searched from the mathematical pattern information memory, and the searched tree structure is newly added. It performs the reconstruction of Lee structure,
(B) If it is determined that the mathematical expression pattern has not been input, the tree structure is reconstructed. After the tree structure is reconstructed, the mathematical formula object information is updated, and the updated mathematical formula object information and Based on the reconstructed tree structure, the formula is displayed in a temporary formula display area secured in the text screen of the display,
After that, returning to the step of (3), and (6) when ending the mathematical expression input processing, adjusts the layout of the mathematical expression displayed in the mathematical expression temporary display area on the text screen of the display with the text. And displaying the mathematical expression. 3. A procedure for storing tree structures corresponding to various mathematical patterns in a mathematical pattern information memory in advance, and a procedure for constructing an initial tree structure below mathematical object information. (3) a procedure for acquiring an event from a keyboard or a mouse, (4) a procedure for determining whether or not to continue the formula input process based on the information of the event, and (5) a case for continuing the formula input process. Is used to search for a position in the tree structure where an input has been made based on the mathematical expression object information. (A) When it is determined that a mathematical expression pattern has been input based on the event information, the mathematical expression pattern Is searched from the mathematical pattern information memory, and the searched tree structure is newly added to reconstruct the tree structure. (B) When it is determined that the mathematical expression pattern has not been input, the tree structure is reconstructed, and after the tree structure is reconstructed, the mathematical formula object information is updated. Based on the updated formula object information and the reconstructed tree structure, the formula is displayed in a formula temporary display area secured in the text screen of the display, and thereafter,
The procedure for returning to the procedure of (3), and (6) when ending the mathematical expression input processing, adjust the layout of the mathematical expression displayed in the mathematical expression temporary display area on the text screen of the display with the text. And a computer-readable recording medium which stores a program for causing a computer to execute a procedure for inputting a mathematical expression and displaying the mathematical expression on a display.