JP7294484B2 - Program, information processing method and information terminal - Google Patents

Description

The present invention relates to a program, an information processing method, and an information terminal.

A graph drawing application available on a web browser is known. For example, Non-Patent Document 1 discloses the following application that operates on a web browser. In this application, calculations are performed based on the formulas entered by the user in the formula list, and graphs based on the results of the calculations are drawn on the web browser.

Desmos, desmos user guide, translated by Yoshito Horikawa [online], [searched on April 16, 2018], Internet <URL: https://desmos.s3.amazonaws.com/Desmos_User_Guide_JA.pdf>

An object of the present invention is to provide an application with an excellent interface.

According to one aspect of the present invention, the program causes an information terminal that communicates with the server to:
transmitting transmission data including information on functions and coordinate areas to the server;
Receiving from the server and recording data including coordinates of points expressed in a first display format for drawing a graph representing the function, which is a result of processing by the server based on the transmitted data. and,
drawing a graph based on the received coordinates of the points ;
setting the display format of the coordinates to one of the first display format and the second display format;
detecting trace operations on the graph;
determining whether the tracing operation has ended;
When the trace operation is detected when the display format of the coordinates is set to the first display format, the graph is identified based on the trace operation before determining that the trace operation has ended. displaying the coordinates using the coordinate information corresponding to the point above, which is expressed in the recorded first display format;
when the trace operation is detected when the display format of the coordinates is set to the second display format, based on the position at which the trace operation has ended, in response to determining that the trace operation has ended; transmitting information of points on the graph specified by the above to the server.

FIG. 1 is a block diagram showing an outline of a configuration example of a system according to one embodiment. FIG. 2 is a flowchart outlining an example of part of the operation of a terminal according to one embodiment. FIG. 3 is a flowchart illustrating an outline of an example of graph drawing processing according to one embodiment. FIG. 4A is a flowchart outlining an example of a trace process according to one embodiment. FIG. 4B is a flowchart outlining an example of a trace process according to one embodiment. FIG. 5A is a diagram showing an example of a screen related to graph sticky notes displayed on a terminal. FIG. 5B is a diagram showing an example of a screen related to the graph sticky note displayed on the terminal.

An embodiment of the present invention will be described with reference to the drawings. The present embodiment relates to a web-based application used in school education and the like. The application of this embodiment is particularly used in mathematics education.

[System configuration]
FIG. 1 is a diagram showing an outline of a configuration example of a system 1 according to this embodiment. The system 1 includes a terminal 10 as a client, a web server 20 and an arithmetic server 30 . The terminal 10 is, for example, a personal computer (PC), a tablet-type information terminal, a smart phone, or any other type of information terminal. Each terminal runs a web browser. Each terminal uses a web browser to access the web server 20 connected to the computing server 30 via a network 50 such as the Internet, and executes web applications.

Although one terminal 10 is shown in FIG. 1, the number of terminals included in the system 1 may be any number. Any number of terminals may run the web application.

As shown in FIG. 1, the terminal 10 includes a Central Processing Unit (CPU) 11, a Read Only Memory (ROM) 12, a Random Access Memory (RAM) 13, and a storage 14, which are connected to each other via a bus line 19. , an input device 15 , a display device 16 , and a communication device 17 . The CPU 11 performs various signal processing and the like. Various integrated circuits such as an Application Specific Integrated Circuit (ASIC), a Field Programmable Gate Array (FPGA), or a Graphics Processing Unit (GPU) may be used in place of or together with the CPU. That is, the terminal 10 can use various processors. The ROM 12 records a boot program and the like. The RAM 13 functions as a main storage device for the CPU 11 . Dynamic RAM (DRAM), Static RAM (SRAM), etc. can be used for RAM13, for example. For the storage 14, for example, Hard Disk Drive (HDD), Solid State Drive (SSD), Embedded Multi Media Card (eMMC), etc. are used. Various information such as programs and parameters used by the CPU 11 are recorded in the storage 14 . The RAM 13 and the storage 14 are not limited to this and can be replaced with various storage devices. The input device 15 is, for example, a keyboard, mouse, touch panel, or the like. The display device 16 is, for example, a liquid crystal display, an organic EL display, or the like. The communication device 17 is used when communicating with devices external to the terminal 10 . The communication device 17 connects to a network 50 such as the Internet.

A web application back end server exists on the web server 20 . The web server 20 is in charge of processing necessary for realizing web applications. Further behind the Web server 20, there is an operation server 30 that executes operations of various functions. The calculation engine of the calculation server 30 can be accessed only from the back end server of the Web server 20, and cannot be accessed directly from the outside, and the calculation engine is kept secret.

The arithmetic server 30 is an information processing device including a processor 31, a ROM 32, a RAM 33, a storage 34, and a communication device 35, which are interconnected via a bus line 39, as shown in FIG. The processor 31 performs various signal processing and the like. The ROM 32 records information used for the operation of the processor 31 . The RAM 33 functions as a main storage device for the processor 31 . Various recording media can be used for the storage 34 . Various information such as programs and parameters used by the processor 31 are recorded in the storage 34 .

In this embodiment, input and display are performed using a combination of display areas with small frames called "sticky notes." There are multiple types of sticky notes. FIG. 5A showing an example of a screen displayed on the display device 16 of the terminal 10 shows a mathematical sticky note 110, a graph sticky note 130, and the like. The mathematical sticky note 110 is a sticky note into which a mathematical formula representing a function is input. The graph sticky note 130 is a sticky note on which a graph is drawn. The graph sticky note 130 displays, for example, a graph related to the formula entered in the formula sticky note 110 . Since there is a relationship between the mathematical sticky note 110 and the graph sticky note 130 , such sticky notes are connected by a line called string 120 .

[System operation]
The system 1 according to this embodiment has many functions. Some examples of them will be explained. Each function is realized by cooperation of the terminal 10, the web server 20, and the calculation server 30. FIG. For example, when the terminal 10 running a web browser accesses the web server 20 , the terminal 10 acquires a program from the web server 20 . Terminal 10 executes this program on a web browser. The terminal 10 performs various calculations and displays based on the information that the user inputs into the web browser by operating the input device 15 of the terminal 10 . When the operation server 30 needs to perform an operation, the terminal 10 transmits information necessary for the operation to the operation server 30 via the Web server 20 . The computation server 30 performs various computations based on information acquired from the terminal 10 . The computation server 30 transmits the computation result to the terminal 10 via the web server 20 . The terminal 10 displays various images on the display device 16 based on the information acquired from the calculation server 30 .

Operations of the terminal 10 according to the present embodiment will be described with reference to flowcharts shown in FIGS. 2 to 4B. In the description, reference will be appropriately made to screen examples related to the graph sticky note 130 shown in FIGS. 5A and 5B.

FIG. 2 is a flowchart outlining an example of part of the operation of terminal 10 .

In step S101, the terminal 10 determines whether or not an instruction regarding drawing a graph has been input. When no instruction regarding graph drawing has been input, the process proceeds to step S103. When an instruction regarding graph drawing is input, the process proceeds to step S102.

In step S102, the terminal 10 performs graph drawing processing. The graph drawing process will be described with reference to the flowchart shown in FIG.

In step S<b>201 , the terminal 10 displays the screen 101 including the blank mathematical sticky note 110 on the display device 16 . A blank mathematical sticky note 110 (not shown) is a mathematical sticky note 110 in which no characters, numbers, mathematical formulas, or the like are displayed. Depending on the state, a cursor may be displayed on the math sticky note 110 . At this point, the graph sticky note 130 and string 120 are not yet displayed.

In step S<b>202 , the terminal 10 uses the input device 15 to accept user input to the mathematical sticky note 110 . The user may use the keyboard of the input device 15 to input the mathematical formula to the mathematical sticky note 110 , or may use the software keyboard displayed on the display device 16 to input the mathematical formula to the mathematical sticky note 110 . The terminal 10 updates the display of the mathematical sticky note 110 according to the input. When the user finishes inputting the desired formula, the user inputs to confirm the formula.

In step S203, the terminal 10 determines whether or not the formula input to the formula tag 110 has been finalized. The process repeats step S202 and accepts input to the mathematical sticky note 110 until the mathematical formula is determined. When it is determined that the formula has been fixed, the process proceeds to step S204.

In step S<b>204 , the terminal 10 identifies information such as the fixed formula, the coordinate area for drawing the graph, and various settings, and transmits the information to the calculation server 30 via the web server 20 . In the example of FIG. 5A, the data including the function y=√x, the coordinate areas −1≦x≦5 and −1≦y≦5, and other settings including the interval between drawing points are stored in the calculation server. 30 as a request.

In step S<b>205 , the calculation server 30 receives information such as mathematical expressions, coordinate areas, and various settings transmitted from the terminal 10 via the web server 20 . In step S206, the calculation server 30 calculates the coordinates of drawing points required to draw a graph representing the function, based on the received information. In the example of FIG. 5A, the calculation server 30 calculates the coordinates of each of a large number of drawing points representing y=√x at specified intervals within the range of −1≦x≦5. However, in the range of -1≦x<0, information indicating that there is no drawing point is output as a result. The coordinates calculated here are expressed in decimal numbers having an appropriate number of significant digits, and are expressed in a decimal number display format, which will be described later.

Further, in step S206, the calculation server 30 records the data of the coordinate group of the drawing points calculated in the decimal notation format in the storage 34 in ascending or descending order of the x-coordinates. Here, the specified interval is determined, for example, on the screen of the display device 16 based on the pixel width corresponding to the x-coordinate range (−1≦x≦5) of the graph display area 131 of the graph sticky note. and the minimum spacing may be the x-coordinate range divided by the pixel width. As a result, the calculated coordinates can be displayed on the screen of the display device 16 as faithfully as possible.

In step S<b>207 , the calculation server 30 transmits the data of the calculated drawing point coordinate group to the terminal 10 via the web server 20 as a response.

In step S<b>208 , the terminal 10 receives the coordinate group data of the drawing point as a response via the Web server 20 . The terminal 10 records the received values of the group of coordinates of the drawing point in the storage 14 together with the formulas and the like.

In step S<b>209 , the terminal 10 creates the graph sticky note 130 associated with the mathematical sticky note 110 by the string 120 on the screen 101 . In step S<b>210 , the terminal 10 plots drawing points in the graph display area 131 of the graph sticky note based on the coordinates of each drawing point calculated by the calculation server 30 . The terminal 10 draws the graph 136 by connecting drawing points with lines.

With this, the graph drawing process is completed, and the process returns to the main flow described with reference to FIG. After the graph drawing process, the process proceeds to step S103.

Graph drawing as described above can be performed, for example, each time a new formula is added. A plurality of graphs may be drawn on one graph sticky note 130, or a plurality of graph stickies may be created and a graph drawn on each of them. In addition, the x-coordinate range and the y-coordinate range of the graph display area 131 can be appropriately changed by a user's operation or the like. When these ranges are changed, the same processing as steps S204 to S210 of the graph drawing processing described above is performed. That is, the terminal 10 transmits the formula, the changed coordinate area, etc. to the calculation server 30, the calculation server 30 calculates a new coordinate group of drawing points, and the terminal 10 redraws the graph based on this coordinate group. do.

In step S103, the terminal 10 determines whether or not a trace operation has been performed. The system 1 of this embodiment has a function of displaying the coordinates of the position when the graphic cursor is placed on the graph drawn in the graph area. For example, as shown in FIG. 5A, when the graphic cursor 141 is placed at a point on the graph 136, a first marker 151 representing that point is displayed, and a first coordinate value 152 representing the coordinates of that point is displayed. Is displayed. Assume that the graphic cursor 142 is positioned at another point on the graph 136 by moving the position of the graphic cursor as indicated by arrow 211 . At this time, a second marker 155 representing that point is displayed, and a second coordinate value 156 representing the coordinates of that point is displayed. In FIG. 5A, both the graphic cursor 141, the first marker 151 and the first coordinate value 152 and the graphic cursor 142, the second marker 155 and the second coordinate value 156 are displayed for convenience of drawing. In practice, however, as the graphic cursor moves, the previous display disappears, and markers and coordinate values are displayed according to the position of the graphic cursor at each time point.

Furthermore, the system 1 of the present embodiment is configured such that the display format of the coordinates can be selected from the decimal display format and the mathematical expression display format. The decimal display format is a format expressed using decimals, such as "(2, 1.414)" of the second coordinate value 156 in FIG. 5A. The decimal display format is also called the Decimal format. The expression display form is a form expressed using expressions, mathematical symbols, etc., such as "(2, √2)" of the fourth coordinate value 166 on the screen 102 shown in FIG. 5B. The mathematical expression display format displays mathematically correct values, and is a display format using square roots, trigonometric functions, fractions, pi (π), Napier's number (e), log, and the like. The formula display format is also called the Standard format.

If the decimal display format is set, the coordinates are quickly displayed using the coordinate information of the drawing point used when drawing the graph. When the mathematical expression display format is set, the terminal 10 inquires of the server about the coordinate values, and displays the coordinates using an image prepared by the server.

When an operation of placing the graphic cursor on the graph is detected, it is determined in step S103 that a trace operation has been performed. When the trace operation has not been performed, the process proceeds to step S105. When it is determined that the trace operation has been performed, the process proceeds to step S104. In step S104, the terminal 10 executes trace processing. Trace processing will be described with reference to the flowcharts shown in FIGS. 4A and 4B.

In step S301, the terminal 10 starts acquiring information on the position designated by the graphic cursor. After that, the terminal 10 periodically repeats acquisition of the designated position designated by the graphic cursor at a predetermined cycle or the like, and performs processing according to the obtained designated position.

In step S302, the terminal 10 determines whether the current display setting is the decimal display format or the mathematical expression display format. When it is determined that the current setting is the formula display format, the process proceeds to step S308. When it is determined that the current setting is the decimal display format, the process proceeds to step S303.

In step S303, the terminal 10 selects the drawing point closest to the current specified position acquired in step S301 from among the drawing points recorded in step S208. The terminal 10 reads the coordinate values recorded for the selected drawing point. In step S304, the terminal 10 displays the coordinate values of the specified position in the graph display area 131 in the decimal display format based on the read coordinate values.

In step S305, the terminal 10 determines whether the display setting has been changed to the mathematical expression display format. The display settings can be changed, for example, by selecting display settings from a menu displayed by right-clicking the mouse. When the display setting is changed to the mathematical expression display format, the process proceeds to step S308. If the display has not been changed to the mathematical formula display, the process proceeds to step S306.

In step S306, the terminal 10 determines whether or not to end the trace processing. For example, when the specified position is separated from the currently selected graph by a predetermined distance or more, it is determined that this process is finished. When it is determined to end, the trace process ends and the process returns to the main flow described with reference to FIG. When it is determined not to end the trace process, the process proceeds to step S307.

In step S307, the terminal 10 determines whether or not the specified position has changed. If the designated position has not changed, the process returns to step S305. That is, it is repeatedly determined whether the display setting has been changed to the mathematical expression display format and whether the trace processing is terminated. When it is determined in step S307 that the designated position has changed, the process returns to step S303. That is, the drawing point closest to the specified position is selected, and the coordinate values of the selected point are displayed in decimal form. In this way, while the display setting is in decimal format and the specified position is on the graph, the coordinates of the specified position specified by the graphic cursor are displayed in decimal format one after another as shown in FIG. 5A. .

When the display setting is the mathematical expression display format, or when the display setting is changed to the mathematical expression display format, the terminal 10 operates as follows. In step S308, the terminal 10 selects the drawing point closest to the specified position from among the drawing points recorded in step S208. The terminal 10 reads the formula of the graph and the coordinate values of the selected drawing points. In step S<b>309 , the terminal 10 transmits the read formula and coordinate values to the web server 20 .

In step S310, the web server 20 receives the mathematical expression and the coordinate values of the selected drawing point transmitted from the terminal 10. FIG. In step S311, the Web server causes the calculation server 30 to calculate the coordinate values when the selected drawing point is displayed in the formula display format. In step S311, the calculation server 30 determines, based on the received coordinate value (for example, x-coordinate) of the selected point, which drawing point the received selected point is in ascending order or descending order among the plurality of drawing points. determine whether Coordinate values (x-coordinate and y-coordinate) are determined based on the determined order of drawing points.

The web server 20 acquires the calculation result from the calculation server 30 . Based on the calculation result, the Web server 20 creates an image showing the coordinate values in a formula display format. In step S<b>312 , the web server 20 transmits to the terminal 10 the created image displaying the coordinates of the selected point in a formula display format or the address of the image saved in the web server 20 .

In step S313, the terminal 10 receives an image showing the coordinates of the selected point in a formula display format. In step S314, the terminal 10 uses the received image to display the coordinate values of the specified position in the graph display area 131 in a formula display format.

In step S315, the terminal 10 determines whether the display setting has been changed to the decimal display format. When changed to the decimal display format, the process returns to step S303. That is, the coordinates of the specified position are displayed in decimal format. When it is determined in step S315 not to change to the decimal display format, the process proceeds to step S316.

In step S316, the terminal 10 determines whether or not to end the trace processing. When it is determined to end, the trace process ends and the process returns to the main flow described with reference to FIG. When it is determined not to end, the process proceeds to step S317.

In step S317, the terminal 10 determines whether or not the designated position has changed. If the specified position has not changed, the process returns to step S315. That is, it is repeatedly determined whether the display setting has been changed to the decimal display format and whether the trace processing is to be terminated. When it is determined in step S317 that the designated position has changed, the process proceeds to step S318.

In step S318, the terminal 10 determines whether or not the designated position has stopped changing. When it is determined that the specified position has not stopped changing, it waits until it stops. When it is determined that the specified position has stopped changing and the specified position has been determined, the process returns to step S308. That is, after the specified position stops changing, the terminal 10 selects the drawing point closest to the specified position. The terminal 10 transmits information about the selected drawing point as a request to the Web server 20, and receives as a response an image showing the coordinates of the drawing point in a mathematical expression format. The terminal 10 displays coordinates based on the received image. Since the coordinate display in the mathematical expression display format requires communication between the terminal 10 and the Web server 20, it is not efficient to continuously obtain the coordinate values of the selected point while the specified position is changing. Therefore, after the specified position stops changing, the coordinate values of the selected point are calculated and displayed in the mathematical expression format. If there is sufficient communication resource, the coordinate values of the selected point may be continuously obtained while the specified position is changing.

When the graphic cursor 143 is placed at a point on the graph 136 by the above operation, for example, as shown in FIG. 5B, a third marker 161 representing that point is displayed, and a third marker 161 representing the coordinates of that point is displayed. Coordinate values 162 are displayed in a mathematical display format. When the position of the graphic cursor is moved as indicated by the arrow 212 and the graphic cursor 144 is positioned at another point on the graph 136, a fourth marker 165 representing that point is displayed and the coordinates of that point are displayed. A fourth coordinate value 166 is displayed. In FIG. 5B, both the graphic cursor 143, the third marker 161 and the third coordinate value 162 and the graphic cursor 144, the fourth marker 165 and the fourth coordinate value 166 are displayed for convenience of drawing. In practice, however, when a new display is made as the graphic cursor moves, the display of the previous marker and coordinate values disappears, and new markers and coordinate values are displayed according to the position of the new graphic cursor. be.

Returning to FIG. 2, the description continues. In step S105, the terminal 10 determines whether or not to end this process. When it is determined not to end, the process returns to step S101. That is, the termination described above is repeated. When it is determined to end in step S105, this process ends.

According to this embodiment, when a point on the graph 136 drawn in the graph display area 131 is designated, a trace process can be executed in which the coordinates of that point are displayed. In this trace processing, two types of display formats, ie, the decimal display format and the mathematical expression display format, can be selected. Since the coordinates of the drawing points used when drawing the graph 136 are used in the display in the decimal display format, high followability according to the movement of the graphic cursor can be realized. On the other hand, the display in the mathematical expression display format requires communication with the Web server 20, so although the followability is poor, it is possible to display mathematically correct values instead of approximate values.

In the system 1 according to this embodiment, relatively complicated calculations are performed by the calculation server 30 behind the web server 20 . With such a configuration, complex calculations can be realized using the calculation server 30 having high processing power. Since the terminal 10 does not need to perform complicated processing, processing by the terminal 10 is reduced. The information transmitted from the terminal 10 is a function or the like, and the information received by the terminal 10 is the coordinate values of drawing points or image data representing them in a mathematical expression format. Therefore, the processing performed by the calculation server 30 can be made anonymous.

In the above-described embodiment, an example was given in which the user designates the position of the point whose coordinates are to be displayed using the graphic cursor, but the method of position designation is not limited to this. For example, if a touch panel is superimposed on the display device 16 on which the graph is displayed, the user may specify the position by touching the desired position on the touch panel. Alternatively, the position may be specified by, for example, inputting the x-coordinate of the specified position using a keyboard. Further, for example, the coordinates of the intersection of the graphs may be displayed, and in this case, the intersection may be specified by inputting the function of the intersecting graphs.

In the above-described embodiment, the case where the data sent from the Web server 20 to the terminal 10 to display the coordinates in the mathematical formula display format is an image representing the coordinates has been described as an example, but the present invention is not limited to this. Any data format can be used as long as the terminal 10 can display coordinates in a mathematical expression format. When data necessary for displaying coordinates in a mathematical expression display format and transmitted from the Web server 20 to the terminal 10 is mathematical data, the terminal 10 displays the coordinates in the mathematical expression display format based on the mathematical expression data. The formula data may be in any format as long as it can be displayed.

Further, in the above-described embodiment, in steps S205 to S207 in the graph drawing process, the calculation server 30 calculates the coordinates of the drawing points only in the decimal display format for drawing the graph, and sends the values to the terminal 10. sending. Since the terminal 10 does not have the coordinate data in the mathematical expression display format, when displaying the coordinates in the mathematical expression display format, the Web server 20 receives the You are requesting coordinate information in mathematical display format. On the other hand, in the graph drawing process, the arithmetic server 30 may create coordinate data for all drawing points in the decimal display format and the mathematical expression format, and the terminal 10 may acquire and hold all of these data. In this case, in the trace processing, even if the display setting is mathematical expression display, the terminal 10 does not need to request the coordinate information from the Web server 20, and can quickly display the coordinates based on the data held in advance.

However, since it takes time to obtain the coordinates of all drawing points in the formula display format, the processing may be performed in the following order in order to quickly draw the graph. That is, the calculation server 30 first calculates the coordinates in the decimal display format and transmits it to the terminal 10 . The terminal 10 draws a graph based on this information. The arithmetic server 30 and the Web server 20 may sequentially create coordinate data in the numerical formula display format after transmitting the coordinate data in the decimal display format, and transmit them to the terminal 10 .

Alternatively, the calculation server 30 first calculates the coordinates in the decimal display format, and transmits it to the terminal 10 in step S207. In parallel, the calculation server 30 and the Web server 20 sequentially create coordinate data in the numerical formula display format after transmitting the coordinate data in the decimal display format, and store the coordinate data in the storage 34 . In step S<b>312 , the arithmetic server 30 reads the coordinate data in the mathematical expression display format stored in the storage 34 , and the Web server 20 transmits the read coordinate data in the mathematical expression display format to the terminal 10 . As a result, in step S310, after receiving the mathematical formula and the coordinate values of the selected drawing point, the calculation server 30 does not perform the process of calculating the coordinate values in the mathematical formula display form, and the coordinates in the mathematical formula display form are immediately displayed. Data can be transmitted to the terminal 10, and the response time to the trace operation by the user can be shortened.

A program that operates on the terminal 10 can be written using JavaScript (registered trademark), for example. Transmission/reception between the terminal 10 and the web server 20 is performed via the HTTP protocol, and can be performed via HTTP POST/GET with the information to be transmitted/received as REST format JSON data, for example.

In the above-described embodiment, an application example for mathematics education was shown, but the present invention is not limited to this. The techniques described above can be applied to various educational applications. In addition, it can be applied to various applications such as analysis applications, without being limited to educational applications. In particular, it can be applied to applications in the fields of mathematics, physics, chemistry, other scientific fields, or engineering fields.

It should be noted that the present invention is not limited to the above-described embodiments, and can be variously modified in the implementation stage without departing from the gist of the present invention. Further, each embodiment may be implemented in combination as appropriate, in which case the combined effect can be obtained. Furthermore, various inventions are included in the above embodiments, and various inventions can be extracted by combinations selected from a plurality of disclosed constituent elements. For example, even if some constituent elements are deleted from all the constituent elements shown in the embodiments, if the problem can be solved and effects can be obtained, the configuration with the constituent elements deleted can be extracted as an invention.

The invention described in the original claims of the present application is appended below.
[1]
The information terminal that communicates with the server,
transmitting transmission data including information on functions and coordinate areas to the server;
Receiving from the server and recording, from the server, data that is the result of processing by the server based on the transmitted data and that includes coordinates of drawing points expressed in a decimal notation format for drawing a graph representing the function. and,
drawing a graph based on the coordinates of the drawing points;
when displaying the coordinates of the points on the graph in the decimal notation format, displaying the coordinates using the recorded information of the coordinates of the drawing points expressed in the decimal notation format;
When displaying the coordinates of a point on the graph in a formula display format that indicates a mathematically correct value, the information of the point is sent to the server, and the point indicated by the information is created by the server. a program for receiving formula data for displaying the coordinates in the formula display format, and displaying the coordinates using the formula data.
[2]
When the coordinates of the points on the graph are displayed in the decimal display format, the information terminal repeatedly displays the coordinates each time the specified position of the point whose coordinates are to be displayed is changed. The program according to [1] for causing
[3]
When the coordinates of the points on the graph are displayed in the formula display format, the formula data is received when the position of the point whose coordinates are to be displayed is determined after the specified position of the point whose coordinates are to be displayed is changed. The program according to [1] or [2], which transmits the information of the point to the server.
[4]
When it is detected that the display format has been changed to the numerical formula display format while the coordinates of the points on the graph are displayed in the decimal display format, the information of the point is transmitted to the server, and the [1] for receiving formula data for displaying the coordinates in a formula display format created by the server based on the information, and causing the information terminal to display the coordinates using the formula data; ] to [3].
[5]
When detecting that the display format has been changed to the decimal display format while displaying the coordinates of a point on the graph in the mathematical display format, the recorded point is represented in the decimal display format. The program according to any one of [1] to [4], further causing the information terminal to display the coordinates using the information of the coordinates.
[6]
The information terminal that communicates with the server,
transmitting transmission data including information on functions and coordinate areas to the server;
Coordinates of drawing points of a graph as a result of processing by the server based on the transmitted data, data containing information of the coordinates expressed in a decimal display format and a mathematical formula display format indicating a mathematically correct value. from the server and recording;
drawing the graph based on the coordinates of the drawing points in the decimal form;
when displaying the coordinates of the points on the graph, the recorded information of the coordinates in the decimal form or the mathematical expression form, depending on whether the coordinates are displayed in the decimal form or in the mathematical expression form; A program for displaying coordinates using the information on the coordinates of
[7]
An information terminal that communicates with the server
transmitting transmission data including information on functions and coordinate areas to the server;
Receiving from the server and recording, from the server, data that is the result of processing by the server based on the transmitted data and that includes coordinates of drawing points expressed in a decimal notation format for drawing a graph representing the function. and,
drawing a graph based on the coordinates of the drawing points;
when displaying the coordinates of the points on the graph in the decimal notation format, displaying the coordinates using the recorded information of the coordinates of the drawing points expressed in the decimal notation format;
When displaying the coordinates of a point on the graph in a formula display format that indicates a mathematically correct value, the information of the point is sent to the server, and the point indicated by the information is created by the server. receiving formula data for displaying the coordinates in a formula display format, and displaying the coordinates using the formula data.
[8]
The information terminal that communicates with the server,
transmitting transmission data including information on functions and coordinate areas to the server;
Coordinates of drawing points of a graph as a result of processing by the server based on the transmitted data, data containing information of the coordinates expressed in a decimal display format and a mathematical formula display format indicating a mathematically correct value. from the server and recording;
drawing the graph based on the coordinates of the drawing points in the decimal form;
when displaying the coordinates of the points on the graph, the recorded information of the coordinates in the decimal form or the mathematical expression form, depending on whether the coordinates are displayed in the decimal form or in the mathematical expression form; and displaying the coordinates using the information of the coordinates.
[9]
An information terminal that communicates with a server,
a storage device;
transmitting transmission data including information on functions and coordinate areas to the server;
receiving, from the server, data including the coordinates of drawing points expressed in a decimal notation format for drawing a graph representing the function, which is the result of processing by the server based on the transmitted data; and
drawing a graph based on the coordinates of the drawing points;
when displaying the coordinates of the points on the graph in the decimal notation format, displaying the coordinates using the recorded information of the coordinates of the drawing points expressed in the decimal notation format;
When displaying the coordinates of a point on the graph in a formula display format that indicates a mathematically correct value, the information of the point is sent to the server, and the point indicated by the information is created by the server. an information terminal comprising: a processor for receiving formula data for displaying the coordinates in a formula display format and displaying the coordinates using the formula data;
[10]
An information terminal that communicates with a server,
a storage device;
transmitting transmission data including information on functions and coordinate areas to the server;
Coordinates of drawing points of a graph as a result of processing by the server based on the transmitted data, data containing information of the coordinates expressed in a decimal display format and a mathematical formula display format indicating a mathematically correct value. from the server and recorded in the storage device;
drawing the graph based on the coordinates of the drawing points in the decimal form;
when displaying the coordinates of the points on the graph, the recorded information of the coordinates in the decimal form or the mathematical expression form, depending on whether the coordinates are displayed in the decimal form or in the mathematical expression form; an information terminal comprising: displaying coordinates using the information of the coordinates of;

Reference Signs List 1 System 10 Terminal 11 CPU 12 ROM 13 RAM 14 Storage 15 Input device 16 Display device 17 Communication device 19 Bus line 20 Web server 30 Arithmetic server 31 Processor 32 ROM 33 RAM 34 Storage 35 Communication device 39 Bus line 50 Network.

Claims (10)

The information terminal that communicates with the server,
transmitting transmission data including information on functions and coordinate areas to the server;
Receiving from the server and recording data including coordinates of points expressed in a first display format for drawing a graph representing the function, which is a result of processing by the server based on the transmitted data. and,
drawing a graph based on the received coordinates of the points ;
setting the display format of the coordinates to one of the first display format and the second display format;
detecting trace operations on the graph;
determining whether the tracing operation has ended;
When the trace operation is detected when the display format of the coordinates is set to the first display format, the graph is identified based on the trace operation before determining that the trace operation has ended. displaying the coordinates using the coordinate information corresponding to the point above, which is expressed in the recorded first display format;
when the trace operation is detected when the display format of the coordinates is set to the second display format, based on the position at which the trace operation has ended, in response to determining that the trace operation has ended; Sending to the server the information on the points on the graph specified by the program. When the display format of the coordinates is set to the first display format , the information terminal repeatedly displays the coordinates each time a designated position of a point whose coordinates are to be displayed is changed. 2. The program according to claim 1, for executing on. 3. The program according to claim 1, wherein said first display format is a decimal display format . 4. The program according to any one of claims 1 to 3 , wherein said second display format is a formula display format indicating mathematically correct values . When it is detected that the display format is changed to the first display format while the coordinates of the points on the graph are displayed in the second display format, the recorded display format is displayed in the first display format. 5. The program according to any one of claims 1 to 4, further causing said information terminal to display coordinates using the information on the coordinates of said point. When it is detected that the display format is changed to the second display format while the coordinates of the points on the graph are displayed in the first display format, based on the position of the trace operation at the time of detection. 6. The program according to any one of claims 1 to 5, further causing said information terminal to transmit to said server information about points on said graph specified by said program. An information terminal that communicates with a server transmits transmission data including information on a function and a coordinate area to the server, and draws a graph representing the function, which is the result of processing by the server based on the transmission data. receiving and recording data including the coordinates of points expressed in a first display format from the server, drawing a graph based on the received coordinates of the points , and setting a display format to one of the first display format and the second display format; detecting a trace operation on the graph; determining whether or not the trace operation has ended; When the trace operation is detected when the display format of the coordinates is set to the first display format, before determining that the trace operation is completed, on the graph specified based on the trace operation displaying the coordinates using the coordinate information corresponding to the point, which is expressed in the recorded first display format; and displaying the coordinates in the second display format. If the trace operation is detected when the format is set, in response to determining that the trace operation has ended, the number of points on the graph identified based on the position where the trace operation ended. and sending information to said server. An information terminal that communicates with a server,
a storage device;
transmitting transmission data including information on functions and coordinate areas to the server;
receiving, from the server, data including coordinates of points expressed in a first display format for drawing a graph representing the function, which is a result of processing by the server based on the transmitted data; and
drawing a graph based on the received coordinates of the points ;
setting the display format of the coordinates to one of the first display format and the second display format;
detecting trace operations on the graph;
determining whether the tracing operation has ended;
When the trace operation is detected when the display format of the coordinates is set to the first display format, the graph is identified based on the trace operation before determining that the trace operation has ended. displaying the coordinates using the coordinate information corresponding to the point above, which is expressed in the recorded first display format;
when the trace operation is detected when the display format of the coordinates is set to the second display format, based on the position at which the trace operation has ended, in response to determining that the trace operation has ended; an information terminal comprising: sending to the server information about points on the graph identified by a processor; An information processing system comprising the information terminal according to claim 8 and a server communicating with the information terminal,
The server generates data including coordinates of points expressed in the first display format based on the transmission data received from the information terminal, and transmits the generated data to the information terminal. and a processor for performing
Information processing system. An information processing method executed by an information processing system comprising an information terminal and a server communicating with the information terminal,
The information terminal is
A first display format for transmitting transmission data including information on a function and a coordinate area to the server, and drawing a graph representing the function, which is a result of processing by the server based on the transmission data. receiving from the server and recording data including the coordinates of the points expressed in , drawing a graph based on the received coordinates of the points , and changing the display format of the coordinates to the first display Detecting a trace operation on the graph; Determining whether the trace operation has ended; When the trace operation is detected when the display format is set, information of the coordinates corresponding to the point on the graph identified based on the trace operation before determining that the trace operation has ended. and displaying the coordinates using the recorded information of the coordinates of the point expressed in the first display format; and when the display format of the coordinates is set to the second display format. When the trace operation is detected, in response to determining that the trace operation has ended, information on the point on the graph specified based on the position where the trace operation has ended is sent to the server . , and execute
The server is
generating data including coordinates of points expressed in the first display format based on the transmission data received from the information terminal; and transmitting the generated data to the information terminal. Execute,
Information processing methods.

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