CN104268118A - Mathematical formula calculator including touch screen and method for identifying mathematical formulas - Google Patents
Mathematical formula calculator including touch screen and method for identifying mathematical formulas Download PDFInfo
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- CN104268118A CN104268118A CN201410489857.4A CN201410489857A CN104268118A CN 104268118 A CN104268118 A CN 104268118A CN 201410489857 A CN201410489857 A CN 201410489857A CN 104268118 A CN104268118 A CN 104268118A
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Abstract
The invention discloses a mathematical formula calculator including a touch screen and a method for identifying mathematical formulas, and relates to the technical field of identification of mathematical formulas. The method comprises the steps of: obtaining touch operation of a user at a first position on the touch screen, and generating a touch track according to the touch operation; identifying characters and/or symbols in the input mathematical formula according to the touch track information, and thereby obtaining first mathematical formula information; identifying fractional functions and other functions in the mathematical formula based on position relation among the characters and/or symbols in the first mathematical formula, and describing the mathematical formula by a structure tree; obtaining replacement operation executed by the user with respect to the touch track; according to a replacement operation track generated by the replacement operation, adjusting mathematical formula text information after conversion, generating second mathematical formula text information, and then describing a second mathematical formula by using the structure tree; presenting the second mathematical formula text information. According to the mathematical formula calculator including the touch screen and the method for identifying the mathematical formulas, under the condition of complex calculation formula, final calculation accuracy of the calculator is improved, and work efficiency of mathematical workers is enhanced.
Description
Technical field
The present invention relates to mathematical formulae identification field, particularly relate to a kind of the mathematical expression counter and the mathematical formulae knowledge method for distinguishing that comprise touch-screen.
Background technology
Along with the arrival in scientific and technical information epoch, the equipment convenience of people to computer realm proposes more and more higher requirement.For mathematics practitioner, usually need input or operation mathematical formulae on smart machine.Although counter and the input equipment of the support such as panel computer, touch-screen mobile phone handwriting functions are quite universal, and become the infotech instrument used in everyday of people gradually, but often by finger or felt pen etc., relevant mathematics functional symbol is clicked on current input tool to its operation, by the formula that specific input step input is corresponding.The mathematics efficiency causing mathematical formulae is thus lower, poor user experience.
Have based on this, in prior art, provide a kind of technology of handwritten mathematical expression identification, namely in the computing platform supporting handwriting input, realize the input of mathematical formulae, identification and calculating by handwritten mathematical expression.In the art, recognition accuracy, recognition speed and identification range are used to the parameter assessing mathematical formulae recognition function, but because hand-written character deformation range is comparatively large and the complicacy of formula structure, even if so in limited identification range, its recognition accuracy is not high yet, cause identifying processing speed comparatively slow, thus input speed is slower simultaneously.Existing system identification accuracy is not high, and it is all the factor seriously hindering handwritten mathematical expression identification input system to develop that recognition speed crosses slow grade.
Be limited to above-mentioned factor, the function that the editor that existing handwritten mathematical expression identification intelligent equipment provides, conversion or calculating etc. combine with identification is perfect not, after user inputs complete mathematical formula, after some smart machine realizes mathematical formulae typing, but the formula of None-identified user input, such as when computing formula comprises multilayer fractional function, mistake can be there is in the deterministic process of position relationship; And because there is complicated overlying relation in multilayer fractional function, so the operational symbol commander relation between symbol is wherein very complicated, easily there is mistake when calculating commander's relation; The mistake produced in above-mentioned two steps all will finally cause the failure of formulae discovery.
Summary of the invention
For the problems referred to above, embodiments provide a kind of the mathematical expression counter and the mathematical formulae knowledge method for distinguishing that comprise touch-screen, to be intended to solve in prior art after handwritten mathematical expression typing, the recognition efficiency that computer equipment causes because computing formula is complicated is low, causes the technical matters of mathematics worker inefficiency and poor user experience thus.
For achieving the above object, embodiments provide a kind of input method of mathematical formulae, be applied to the mathematical expression counter comprising touch-screen, described method comprises:
Obtain the touch operation in the primary importance of user on described touch-screen, and generate touch track according to described touch operation; Wherein, described touch operation is the touch operation of user's handwriting input mathematical formulae information; Described touch track is the track that the multiple touch points of the primary importance of described touch operation on described touch-screen generate, for the mathematical formulae information of described user's handwriting input on described touch-screen in present condition;
According to described touch track information, identify the character in the mathematical formulae of input and/or symbol, obtain the first mathematical formulae information;
Based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and with structure tree, described mathematical formulae is described; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure;
Obtain the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree;
Present described second mathematical formulae text message.
Further, the described step based on the fractional function in mathematical formulae described in the position relationship identification between character in described mathematical formulae and/or symbol comprises: identify all score lines in described first mathematical formulae; Position relationship between the character determining single fractional function inside; Described single fractional function is integrally determined the position relationship between described single fractional function and other characters; Described individual layer fractional function score line is have at least one character on the top of horizontal line and have the horizontal line of at least one character in the bottom of described horizontal line.
Further, described method also comprises: when described first mathematical formulae comprises multilayer fractional function, position relationship between the character processing each fractional function inside of described multilayer fractional function circulatingly, wherein, the fractional function without any subfraction function is only processed in each cycle.
Further, after presenting described second mathematical formulae text message, described method also comprises: obtain the alter operation that user changes order of operation; Described alter operation is for adjusting the mathematical formulae order of operation of described second mathematical formulae text message.
Further, after presenting described second mathematical formulae text message, described method also comprises: when described mathematic(al) representation comprises numerical value and operational symbol, runs described second mathematical formulae text message, and presents operation result in the second place of described touch-screen.
The embodiment of the present invention additionally provides a kind of mathematical expression counter comprising touch-screen, and described counter comprises:
First input block, for obtaining the touch operation in the primary importance of user on described touch-screen, and generates touch track according to described touch operation; Wherein, described touch operation is the touch operation of user's handwriting input mathematical formulae information; Described touch track is the track that the multiple touch points of the primary importance of described touch operation on described touch-screen generate, for the mathematical formulae information of described user's handwriting input on described touch-screen in present condition;
Acquiring unit, for according to described touch track information, identifies the character in the mathematical formulae of input and/or symbol, obtains the first mathematical formulae information;
Recognition unit, for based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and describes described mathematical formulae with structure tree; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure;
Adjustment unit, obtains the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree;
Display unit, for presenting described second mathematical formulae text message.
Further, described recognition unit specifically for, identify all score lines in described first mathematical formulae; Position relationship between the character determining single fractional function inside; Described single fractional function is integrally determined the position relationship between described single fractional function and other characters; Described individual layer fractional function score line is have at least one character on the top of horizontal line and have the horizontal line of at least one character in the bottom of described horizontal line.
Further, described recognition unit also for, when described first mathematical formulae comprises multilayer fractional function, position relationship between the character processing each fractional function inside of described multilayer fractional function circulatingly, wherein, the fractional function without any subfraction function is only processed in each cycle.
Further, described counter also comprises second acquisition unit, and described second acquisition unit is used for, and after described display unit presents described second mathematical formulae text message, obtains the alter operation that user changes order of operation; Described alter operation is for adjusting the mathematical formulae order of operation of described second mathematical formulae text message.
Further, described counter also comprises arithmetic element, described arithmetic element is used for, after described display unit presents described second mathematical formulae text message, when described mathematic(al) representation comprises numerical value and operational symbol, run described second mathematical formulae text message, and present operation result in the second place of described touch-screen.
Compared with prior art, embodiments provide a kind of the mathematical expression counter and the mathematical formulae knowledge method for distinguishing that comprise touch-screen, obtain the touch operation in the primary importance of user on described touch-screen, and generate touch track according to described touch operation; According to described touch track information, identify the character in the mathematical formulae of input and/or symbol, obtain the first mathematical formulae information; Based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and with structure tree, described mathematical formulae is described; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure; Obtain the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree; Present described second mathematical formulae text message.The embodiment of the present invention improves handwritten mathematical expression input recognition efficiency, especially under computing formula complicated situation, improves the calculating accuracy that counter is final, improves the Consumer's Experience of mathematics worker work efficiency and this calculator device user.
Accompanying drawing explanation
Fig. 1 is the process flow diagram of the recognition methods of a kind of mathematical formulae that the embodiment of the present invention provides;
Fig. 2 is a kind of structural representation comprising the mathematical expression counter of touch-screen that the embodiment of the present invention provides;
Fig. 3 is the process flow diagram of the recognition methods of a kind of mathematical formulae that the embodiment of the present invention provides;
Fig. 4 is the process flow diagram of the recognition methods of a kind of mathematical formulae that the embodiment of the present invention provides;
Fig. 5 is a kind of structural representation comprising the mathematical expression counter of touch-screen that the embodiment of the present invention provides.
Embodiment
Below in conjunction with accompanying drawing, the present invention will be further described.
As shown in Figure 1, Fig. 1 is the process flow diagram of the recognition methods of a kind of mathematical formulae that the embodiment of the present invention provides, and described method can be applicable to the mathematical expression counter comprising touch-screen.Described method comprises:
S101, obtains the touch operation in the primary importance of user on described touch-screen, and generates touch track according to described touch operation; Wherein, described touch operation is the touch operation of user's handwriting input mathematical formulae information; Described touch track is the track that the multiple touch points of the primary importance of described touch operation on described touch-screen generate, for the mathematical formulae information of described user's handwriting input on described touch-screen in present condition;
S102, according to described touch track information, identifies the character in the mathematical formulae of input and/or symbol, obtains the first mathematical formulae information;
S103, based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and describes described mathematical formulae with structure tree; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure;
S104, obtains the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree;
S105, presents described second mathematical formulae text message.
Embodiments providing a kind of the mathematical expression counter and the mathematical formulae knowledge method for distinguishing that comprise touch-screen, by obtaining the touch operation in the primary importance of user on described touch-screen, and generating touch track according to described touch operation; According to described touch track information, identify the character in the mathematical formulae of input and/or symbol, obtain the first mathematical formulae information; Based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and with structure tree, described mathematical formulae is described; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure; Obtain the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree; Present described second mathematical formulae text message.The embodiment of the present invention improves handwritten mathematical expression input recognition efficiency, especially under computing formula complicated situation, improves the calculating accuracy that counter is final, improves the Consumer's Experience of mathematics worker work efficiency and this calculator device user.
Improve further as the present invention, the described step based on the fractional function in mathematical formulae described in the position relationship identification between character in described mathematical formulae and/or symbol comprises: identify all score lines in described first mathematical formulae; Position relationship between the character determining single fractional function inside; Described single fractional function is integrally determined the position relationship between described single fractional function and other characters; Described individual layer fractional function score line is have at least one character on the top of horizontal line and have the horizontal line of at least one character in the bottom of described horizontal line.
Improve further as the present invention, described method also comprises: when described first mathematical formulae comprises multilayer fractional function, position relationship between the character processing each fractional function inside of described multilayer fractional function circulatingly, wherein, the fractional function without any subfraction function is only processed in each cycle.
Improve further as the present invention, after presenting described second mathematical formulae text message, described method also comprises: obtain the alter operation that user changes order of operation; Described alter operation is for adjusting the mathematical formulae order of operation of described second mathematical formulae text message.
Improve further as the present invention, after presenting described second mathematical formulae text message, described method also comprises: when described mathematic(al) representation comprises numerical value and operational symbol, runs described second mathematical formulae text message, and presents operation result in the second place of described touch-screen.
Improve further as the present invention, please refer to Fig. 3 and/or Fig. 4, the schematic flow sheet of a kind of method for identifying mathematical formula that Fig. 3 provides for the embodiment of the present invention; The schematic flow sheet of a kind of method for identifying mathematical formula that Fig. 4 provides for the embodiment of the present invention.Should be appreciated that the concrete refinement step that the method described in Fig. 3 and Fig. 4 is method described in Fig. 1.
As shown in Figure 2, Fig. 2 is a kind of structural representation comprising the mathematical expression counter of touch-screen that the embodiment of the present invention provides, and described counter comprises:
First input block 201, for obtaining the touch operation in the primary importance of user on described touch-screen, and generates touch track according to described touch operation; Wherein, described touch operation is the touch operation of user's handwriting input mathematical formulae information; Described touch track is the track that the multiple touch points of the primary importance of described touch operation on described touch-screen generate, for the mathematical formulae information of described user's handwriting input on described touch-screen in present condition;
Acquiring unit 202, for according to described touch track information, identifies the character in the mathematical formulae of input and/or symbol, obtains the first mathematical formulae information;
Recognition unit 203, for based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and describes described mathematical formulae with structure tree; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure;
Adjustment unit 204, obtains the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree;
Display unit 205, for presenting described second mathematical formulae text message.
Embodiments provide a kind of mathematical expression counter comprising touch-screen, obtain the touch operation in the primary importance of user on described touch-screen by the first input block 201, and generate touch track according to described touch operation; Acquiring unit 202, according to described touch track information, identifies the character in the mathematical formulae of input and/or symbol, obtains the first mathematical formulae information; Recognition unit 203 based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and describes described mathematical formulae with structure tree; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure; Adjustment unit 204 obtains the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree; Display unit 205 presents described second mathematical formulae text message, improve handwritten mathematical expression input recognition efficiency, especially under computing formula complicated situation, improve the calculating accuracy that counter is final, improve the Consumer's Experience of mathematics worker work efficiency and this calculator device user.
Improve further as the present invention, described recognition unit specifically for, identify all score lines in described first mathematical formulae; Position relationship between the character determining single fractional function inside; Described single fractional function is integrally determined the position relationship between described single fractional function and other characters; Described individual layer fractional function score line is have at least one character on the top of horizontal line and have the horizontal line of at least one character in the bottom of described horizontal line.
Improve further as the present invention, described recognition unit also for, when described first mathematical formulae comprises multilayer fractional function, position relationship between the character processing each fractional function inside of described multilayer fractional function circulatingly, wherein, the fractional function without any subfraction function is only processed in each cycle.
Improve further as the present invention, described counter also comprises second acquisition unit, and described second acquisition unit is used for, and after described display unit presents described second mathematical formulae text message, obtains the alter operation that user changes order of operation; Described alter operation is for adjusting the mathematical formulae order of operation of described second mathematical formulae text message.
Improve further as the present invention, described counter also comprises arithmetic element, described arithmetic element is used for, after described display unit presents described second mathematical formulae text message, when described mathematic(al) representation comprises numerical value and operational symbol, run described second mathematical formulae text message, and present operation result in the second place of described touch-screen.
As shown in Figure 5, the structural representation of a kind of entity apparatus that Fig. 5 provides for the embodiment of the present invention, described counter comprises touch-screen 301, processor 302 and storer 303; Described touch-screen is connected with processor described in 301 302; Described processor 302 is connected with described storer 303.Wherein, described touch-screen can be the hardware of integrated display.Described storer is for storing application program, and described processor runs the working procedure in described storer, performs the method step as described in Fig. 1 or Fig. 3 or Fig. 4.
As the optional mode of the present invention, described counter also for having the intelligent terminal of computing function, can not limit this present invention.
Above by reference to the accompanying drawings to invention has been exemplary description; obvious specific implementation of the present invention is not subject to the restrictions described above; as long as have employed the improvement of the various unsubstantialities that method of the present invention is conceived and technical scheme is carried out; or design of the present invention and technical scheme directly applied to other occasion, all within protection scope of the present invention without to improve.
Claims (10)
1. a recognition methods for mathematical formulae, be applied to the mathematical expression counter comprising touch-screen, it is characterized in that, described method comprises:
Obtain the touch operation in the primary importance of user on described touch-screen, and generate touch track according to described touch operation; Wherein, described touch operation is the touch operation of user's handwriting input mathematical formulae information; Described touch track is the track that the multiple touch points of the primary importance of described touch operation on described touch-screen generate, for the mathematical formulae information of described user's handwriting input on described touch-screen in present condition;
According to described touch track information, identify the character in the mathematical formulae of input and/or symbol, obtain the first mathematical formulae information;
Based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and with structure tree, described mathematical formulae is described; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure;
Obtain the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree;
Present described second mathematical formulae text message.
2. the recognition methods of a kind of mathematical formulae according to claim 1, it is characterized in that, the described step based on the fractional function in mathematical formulae described in the position relationship identification between character in described mathematical formulae and/or symbol comprises: identify all score lines in described first mathematical formulae; Position relationship between the character determining single fractional function inside; Described single fractional function is integrally determined the position relationship between described single fractional function and other characters; Described individual layer fractional function score line is have at least one character on the top of horizontal line and have the horizontal line of at least one character in the bottom of described horizontal line.
3. the recognition methods of a kind of mathematical formulae according to claim 1 and 2, it is characterized in that, described method also comprises: when described first mathematical formulae comprises multilayer fractional function, position relationship between the character processing each fractional function inside of described multilayer fractional function circulatingly, wherein, the fractional function without any subfraction function is only processed in each cycle.
4. according to the recognition methods of the arbitrary described a kind of mathematical formulae of claim 1-3, it is characterized in that, after presenting described second mathematical formulae text message, described method also comprises: obtain the alter operation that user changes order of operation; Described alter operation is for adjusting the mathematical formulae order of operation of described second mathematical formulae text message.
5. according to the recognition methods of the arbitrary described a kind of mathematical formulae of claim 1-4, it is characterized in that, after presenting described second mathematical formulae text message, described method also comprises: when described mathematic(al) representation comprises numerical value and operational symbol, run described second mathematical formulae text message, and present operation result in the second place of described touch-screen.
6. comprise a mathematical expression counter for touch-screen, it is characterized in that, described counter comprises:
First input block, for obtaining the touch operation in the primary importance of user on described touch-screen, and generates touch track according to described touch operation; Wherein, described touch operation is the touch operation of user's handwriting input mathematical formulae information; Described touch track is the track that the multiple touch points of the primary importance of described touch operation on described touch-screen generate, for the mathematical formulae information of described user's handwriting input on described touch-screen in present condition;
Acquiring unit, for according to described touch track information, identifies the character in the mathematical formulae of input and/or symbol, obtains the first mathematical formulae information;
Recognition unit, for based on the fractional function in mathematical formulae described in the position relationship identification between character in described first mathematical formulae and/or symbol and other functions, and describes described mathematical formulae with structure tree; Wherein, identified fractional function is looked as a whole; Described structure tree at least comprises binary tree structure and/or ternary tree structure;
Adjustment unit, obtains the replacement operation that user performs described touch track; Described replacement operation is for generating the replacement information of described touch track, and described replacement information is for revising described first mathematical formulae information; According to the replacement operation track that described replacement operation generates, adjust the mathematical formulae text message after described conversion, generate the second mathematical formulae text message, and describe described second mathematical formulae with structure tree;
Display unit, for presenting described second mathematical formulae text message.
7. a kind of mathematical expression counter comprising touch-screen according to claim 6, is characterized in that, described recognition unit specifically for, identify all score lines in described first mathematical formulae; Position relationship between the character determining single fractional function inside; Described single fractional function is integrally determined the position relationship between described single fractional function and other characters; Described individual layer fractional function score line is have at least one character on the top of horizontal line and have the horizontal line of at least one character in the bottom of described horizontal line.
8. a kind of mathematical expression counter comprising touch-screen according to claim 6 or 7, it is characterized in that, described recognition unit also for, when described first mathematical formulae comprises multilayer fractional function, position relationship between the character processing each fractional function inside of described multilayer fractional function circulatingly, wherein, the fractional function without any subfraction function is only processed in each cycle.
9. according to the arbitrary described a kind of mathematical expression counter comprising touch-screen of claim 6-8, it is characterized in that, described counter also comprises second acquisition unit, described second acquisition unit is used for, after described display unit presents described second mathematical formulae text message, obtain the alter operation that user changes order of operation; Described alter operation is for adjusting the mathematical formulae order of operation of described second mathematical formulae text message.
10. according to the arbitrary described a kind of mathematical expression counter comprising touch-screen of claim 6-9, it is characterized in that, described counter also comprises arithmetic element, described arithmetic element is used for, after described display unit presents described second mathematical formulae text message, when described mathematic(al) representation comprises numerical value and operational symbol, run described second mathematical formulae text message, and present operation result in the second place of described touch-screen.
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CN107209862A (en) * | 2015-01-21 | 2017-09-26 | 国立大学法人东京农工大学 | Program, information storage medium and identifying device |
CN110765736A (en) * | 2019-09-25 | 2020-02-07 | 联想(北京)有限公司 | Mathematical expression input method and device and mobile equipment |
CN111061994A (en) * | 2019-12-16 | 2020-04-24 | 武汉轻工大学 | Calculation method and device for function derivation, calculation equipment and storage medium |
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CN107209862A (en) * | 2015-01-21 | 2017-09-26 | 国立大学法人东京农工大学 | Program, information storage medium and identifying device |
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