CN110765736A - Mathematical expression input method and device and mobile equipment - Google Patents

Mathematical expression input method and device and mobile equipment Download PDF

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Publication number
CN110765736A
CN110765736A CN201910910519.6A CN201910910519A CN110765736A CN 110765736 A CN110765736 A CN 110765736A CN 201910910519 A CN201910910519 A CN 201910910519A CN 110765736 A CN110765736 A CN 110765736A
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input
currently selected
character
selected character
operator
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CN201910910519.6A
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CN110765736B (en
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姜馨
张印帅
李琦
张柳新
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Lenovo Beijing Ltd
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Lenovo Beijing Ltd
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Abstract

The application provides a mathematical expression input method, a mathematical expression input device and mobile equipment, in the process of inputting a certain mathematical expression by a user, after determining a currently selected character, the stroke direction of the currently selected character can be determined under the selected state, then, the stroke direction can be directly utilized to generate a target mathematical expression comprising the currently selected character and a target operator matched with the stroke direction, the user does not need to repeatedly switch the input mode of a virtual keyboard of the mobile equipment, and the input character and the operator are selected, so that the input efficiency and the interactive experience are improved.

Description

Mathematical expression input method and device and mobile equipment
Technical Field
The present application relates to the field of input method applications, and more particularly, to a mathematical expression input method, apparatus, and mobile device.
Background
With the development of information technology, high-efficiency electronic learning systems, electronic testing systems and teaching management systems have been widely used and popularized in the field of education, such as various online mathematics self-learning platforms and the like which have been popularized at present.
In recent years, with the development of electronic devices, online mathematical platforms have gradually migrated from computer terminals to mobile devices, but in mobile devices such as mobile phones and wearable devices, virtual keyboards are usually adopted to replace physical keyboards, resulting in low input efficiency of mathematical expressions and poor interaction experience.
Disclosure of Invention
In view of this, the present application provides a mathematical expression input method, apparatus and mobile device, where a user inputs a stroke direction of a character when selecting the character, so that the mobile device knows a target operator matched with the stroke direction based on the stroke direction, and generates a target mathematical expression, and the user does not need to repeatedly switch an input mode of a virtual keyboard of the mobile device, thereby reducing the number of times of click operations, and greatly improving input efficiency and interaction experience.
In order to achieve the above object, the present application provides the following technical solutions:
in one aspect, the present application provides a mathematical expression input method, including:
in response to a character input operation, determining a currently selected character;
acquiring input parameters of the currently selected character, wherein the input parameters comprise the stroking direction of the currently selected character, and the stroking direction is generated when the currently selected character is in a selected state;
and generating a target mathematical expression by utilizing the stroke direction of the currently selected character, wherein the target mathematical expression comprises the currently selected character and a target operator matched with the stroke direction of the currently selected character.
In an implementation of some embodiments, the generating a target mathematical expression using the stroke direction of the currently selected character includes:
acquiring a target operator matched with the stroking direction of the currently selected character, and determining the input position of the currently selected character in the target operator;
and generating a target mathematical expression by using the target operator, the currently selected character and the input position of the currently selected character in the target operator.
In an implementation manner of some embodiments, the obtaining of the target operator matching the stroke direction of the currently selected character includes:
outputting at least one candidate operator on a current display interface according to the stroke direction of the currently selected character;
and responding to a selection instruction of the at least one candidate operator to obtain a target operator.
In an implementation of some embodiments, the determining an input position of the currently selected character in the target operator includes:
acquiring a plurality of character input positions corresponding to the target operator;
selecting a character input position matched with the stroke direction of the currently selected character from the plurality of character input positions to determine as the input position of the currently selected character;
if there is an input character before responding to the character input operation, the method further comprises:
determining an input position of the input character from the plurality of character input positions by using the stroking direction of the currently selected character;
generating a target mathematical expression using the target operator, the currently selected character, and an input position of the currently selected character in the target operator, comprising:
and generating a target mathematical expression by utilizing the target operator, the currently selected character, the input character and the input positions of the currently selected character and the input character in the target operator respectively.
In an implementation manner of some embodiments, the outputting, in a current display interface, at least one candidate operator according to the stroke direction of the currently selected character includes:
obtaining an operator structure represented by the stroke direction of the currently selected character, wherein the operator structure can represent the arrangement relation among a plurality of character input positions corresponding to corresponding operators;
and outputting the screened at least one candidate operator with the operator structure on the current display interface.
In an implementation of some embodiments, the obtaining a target operator in response to a selection instruction of the at least one candidate operator includes:
determining the candidate operator with the first order of display position of the at least one candidate operator as a target operator;
or;
and determining the selected candidate operator as a target operator in response to the selection operation of the at least one candidate operator by the user.
In an implementation of some embodiments, the generating a target mathematical expression using the stroke direction of the currently selected character includes:
analyzing the current selected character and the stroke direction of the current selected character to obtain at least one predicted data expression, wherein the predicted data expression comprises an input character, the current selected character and a prediction operator, and the arrangement relation of the input position of the current selected character in the prediction operator relative to the input position of the input character in the prediction operator is matched with the stroke direction of the current selected character;
in response to a selection operation on the at least one predicted data expression, determining the selected predicted data expression as a target data expression.
In an implementation manner of some embodiments, the obtaining the input parameter of the currently selected character includes:
responding to the sliding operation of a user on a current display interface or the selection operation of the user on a direction key to obtain the stroking direction of the currently selected character;
and generating the input parameters of the currently selected character by utilizing the stroke direction of the currently selected character.
In yet another aspect, the present application further provides a mathematical expression input apparatus, the apparatus comprising:
a currently selected character determination module for determining a currently selected character in response to a character input operation;
an input parameter obtaining module, configured to obtain an input parameter of the currently selected character, where the input parameter includes a stroking direction of the currently selected character, and the stroking direction is generated when the currently selected character is in a selected state;
and the mathematical expression generating module is used for generating a target mathematical expression by utilizing the stroking direction of the currently selected character, wherein the target mathematical expression comprises the currently selected character and a target operator matched with the stroking direction of the currently selected character.
In yet another aspect, the present application further provides a mobile device, including:
a communication interface; an input device;
a memory for storing a program for implementing the mathematical expression input method as described above;
and the processor is used for loading and executing the program stored in the memory so as to realize the steps of the mathematical expression input method.
Therefore, compared with the prior art, the method, the device and the mobile equipment for inputting the mathematical expression are provided, after the currently selected character is determined in the process of inputting a certain mathematical expression by a user, the stroking direction of the currently selected character can be determined under the selected state, and then the stroking direction can be directly utilized to generate the target mathematical expression comprising the currently selected character and the target operator matched with the stroking direction.
Drawings
In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly introduced below, it is obvious that the drawings in the following description are only embodiments of the present application, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
FIG. 1 is a diagram illustrating a prior art mathematical expression input method;
FIG. 2 is a schematic diagram of an operator input interface in a mathematical expression input method application proposed in the research process of the present application;
FIG. 3 is a schematic diagram showing an application of the mathematical expression input method proposed in the research process of the scheme of the present application;
FIG. 4 is a schematic diagram showing the application of another mathematical expression input method proposed in the research process of the scheme of the present application;
FIG. 5 is a flow chart illustrating an alternative example of a mathematical expression input method as set forth in the present application;
FIG. 6 is a flow chart illustrating yet another alternative example of a mathematical expression input method as set forth in the present application;
fig. 7a, 7b, 7c, and 7d all show application diagrams of the mathematical expression input method proposed in the present application, applied in a touch interaction scenario;
FIG. 8 is a flow chart illustrating yet another alternative example of a mathematical expression input method as set forth in the present application;
fig. 9a and 9b show application diagrams of inputting a mathematical expression provided by the present application, where the mathematical expression input method is applied in a touch interaction scenario, and an integral expression is input;
FIG. 10 is a flow chart illustrating yet another alternative example of a mathematical expression input method as set forth in the present application;
fig. 11 is a block diagram showing an alternative example of a mathematical expression input apparatus proposed in the present application;
fig. 12 is a block diagram showing still another alternative example of the mathematical expression input apparatus proposed in the present application;
fig. 13 shows a schematic structural diagram of an alternative example of a mobile device proposed in the present application.
Detailed Description
The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are only a part of the embodiments of the present application, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
It should be noted that, for convenience of description, only the portions related to the related invention are shown in the drawings. The embodiments and features of the embodiments in the present application may be combined with each other without conflict.
It should be understood that "system", "apparatus", "unit" and/or "module" as used herein is a method for distinguishing different components, elements, parts or assemblies at different levels. However, other words may be substituted by other expressions if they accomplish the same purpose.
As used in this application and the appended claims, the terms "a," "an," "the," and/or "the" are not intended to be inclusive in the singular, but rather are intended to be inclusive in the plural unless the context clearly dictates otherwise. In general, the terms "comprises" and "comprising" merely indicate that steps and elements are included which are explicitly identified, that the steps and elements do not form an exclusive list, and that a method or apparatus may include other steps or elements. An element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in the process, method, article, or apparatus that comprises the element.
In the description of the embodiments herein, "/" means "or" unless otherwise specified, for example, a/B may mean a or B; "and/or" herein is merely an association describing an associated object, and means that there may be three relationships, e.g., a and/or B, which may mean: a exists alone, A and B exist simultaneously, and B exists alone. In addition, in the description of the embodiments of the present application, "a plurality" means two or more than two. The terms "first", "second" and the like are used for descriptive purposes only and are not to be construed as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defined as "first" or "second" may explicitly or implicitly include one or more of that feature.
Additionally, flow charts are used herein to illustrate operations performed by systems according to embodiments of the present application. It should be understood that the preceding or following operations are not necessarily performed in the exact order in which they are performed. Rather, the various steps may be processed in reverse order or simultaneously. Meanwhile, other operations may be added to the processes, or a certain step or several steps of operations may be removed from the processes.
Aiming at the technical scheme described in the background technology part, in order to solve the problems of poor interaction experience, low efficiency and the like of a user for inputting a mathematical expression by using a mobile device, the application provides a linear input mode for realizing the input of a nonlinear mathematical expression, as shown in fig. 1, but the mode needs the user to learn and memorize a plurality of computer symbols to replace operators in the mathematical expression, such as x ^2 in^The method brings great use burden to the user and improves the learning cost of the user.
In view of the above, the present application notes a formula input method similar to that used in office, that is, in an operation interface of user electronic equipment, an operator input menu is selected, and an operator input interface shown in fig. 2 is displayed, so that a user can directly drag a desired operator from operators displayed on the operator input interface and place the operator at a suitable position of a mathematical expression when the operator needs to be input in the process of inputting the mathematical expression, and input characters such as letters and numbers by using a keyboard. The mode of manually dragging the operator by the user has low input efficiency, and is not suitable for the mobile equipment because the display screen of the mobile equipment is small, the click of a fine position is difficult to realize, and the numeric keyboard and the symbolic keyboard are required to be frequently switched, so that the input efficiency is further reduced, and the user experience is not good and visible.
Furthermore, the application considers the constraint of the input mode of the mobile equipment, and provides that operators which are possibly used by a user at present can be predicted when the characters are input, at the moment, the mobile equipment only needs to display limited prediction operators for the user to select and use, does not need to switch the input mode in frequency, and does not shield a display screen due to the display of all the operators.
For example, referring to fig. 3, when the user needs to input "(x +2) (x +3) — x2In the case of a mathematical expression of +5x +6 ", for the expression on the right side of the equal sign, at the input" x2The 'x' letter key can be clicked in a letter input interface, at the moment, four different recommended common operators can be displayed in the upper, lower, left and right directions of the letter key, a user can select a required operator through sliding a finger and loosen the operator to finish input, and the input of the mathematical expression is finished in an input mode sequentially presented by the input interfaces in the figure 3 without memorizing character strings of the operator, so that the whole display screen cannot be occupied by the recommended operator, the learning cost is reduced, and the input efficiency and the user experience are improved.
However, the number of operators recommended in this way is usually only four, if the operator to be input is not among the four recommended operators, the user is still required to search from the operator list one by one, which is tedious, and the user is required to use the up, down, left and right direction keys to select where to input the characters, so that the efficiency of inputting the data expression with a complex nested structure is very low.
In order to improve the above problems, the present application further provides a mathematical expression input method implemented by combining an artificial intelligence technology, and different from the above linear input method, in this embodiment, only characters and some simple operators (such as +, -,/and other operators presented on a character input interface) in a mathematical expression need to be input according to the linear input method, and then, the mobile device may analyze the input linear expression data according to a machine learning algorithm to obtain at least one recommended mathematical expression, and then obtain a target mathematical expression therefrom. As shown in fig. 4, the mathematical expression predictive analysis process containing the nested structure is schematically illustrated, and a user can select from two mathematical expressions finally given, but this way has low selection efficiency and high error rate, and when the method is applied to a mobile device, the recommendation list is long and is not easy to display and select.
Based on the analysis, in order to further improve the technical scheme, the application further proposes that the input of the characters in the mathematical expression is linked with the character positions of the characters in the operator, so that when the user inputs the characters, the user inputs the characters according to what stroke direction, the target positions of the corresponding operators in the mathematical expression are displayed, accordingly, the operators corresponding to the characters in the mathematical expression are obtained, and the input of the mathematical expression is finished by analogy in sequence, the input mode of the keyboard does not need to be frequently switched, the user interaction experience is improved, the user does not need to finely select the positions to be input, the shielding of the fingers of the user when the input positions are selected is avoided, the input error rate is reduced, and the mobile device is more suitable for the mobile device; particularly, in the input of the mathematical expression with the nested structure, the clicking times of the user can be obviously reduced, and the input efficiency is greatly improved.
The mobile device may be a smart phone, a tablet computer, a wearable device, an ultra-mobile personal computer (UMPC), a netbook, a Personal Digital Assistant (PDA), an e-book reader, and the like, and the application does not limit the product type and structure of the mobile device.
Referring to fig. 5, there is shown a flowchart of an alternative example of the mathematical expression input method proposed in the present application, which may be applied to a mobile device, and the present application does not limit the product type and structural composition of the mobile device, and may include, but is not limited to, the mobile devices listed above, as shown in fig. 5, and the mathematical expression input method may include, but is not limited to, the following steps:
step S11, responding to the character input operation, determining the current selected character;
in the process of inputting a mathematical expression by a user using a mobile device, as in the analysis of the inventive concept of the present application, the present application firstly inputs characters and then determines the operator of the characters by combining the stroke direction of the characters.
In some embodiments, when inputting the mathematical expression, the user may operate the mobile device to output a character input interface, and then the user may select a character to be input using a finger, a stylus, a mouse, or the like, and the mobile device may determine the currently selected character input this time based on the character input operation performed by the user on the character input interface, but is not limited to this implementation.
Step S12, obtaining input parameters of the currently selected character, wherein the input parameters comprise the stroking direction of the currently selected character;
after the analysis of the inventive concept of the text application, the application needs to use the stroke direction of the currently selected character to obtain the operator of the character to be input, and output the operator while outputting the currently selected character, so that the stroke direction can be generated when the currently selected character is in the selected state, that is, after the user selects the character to be input in the character input interface of the mobile device, the user does not loosen the character, but continues to input the stroke direction of the character in the selected state, such as sliding input, pressing a corresponding direction key, and the like.
In combination with the above analysis, the stroke direction of the present application can represent a target character input position of an operator to be input to a currently selected character, and relative to a structural orientation of the operator, can also represent at least one arrangement structure formed by the operator and a plurality of character input positions corresponding to the operator, so as to determine an operator to be input according to the arrangement structure.
And step S13, generating a target mathematical expression by using the stroking direction of the currently selected character.
In this embodiment, the target mathematical expression may include a currently selected character and a target operator matched with a stroking direction of the currently selected character.
After obtaining the stroke direction of the currently selected character, the mobile device of this embodiment may accurately and quickly obtain a target operator matched with the stroke direction of the currently selected character from a plurality of pre-stored operators, so as to generate the required mathematical expression by using the currently selected character and the target operator.
It should be understood that, if the mathematical expression that the user needs to input includes multiple operators, each operator has a corresponding character, the present application may implement each operator and its corresponding character in the manner described in this embodiment, and the specific process may refer to the description of the corresponding parts of step S11 and step S12 in this embodiment, in this case, each acquired operator and its corresponding character may be used to generate the required mathematical expression, which is not described in detail in this application.
In summary, in a case that a user needs to input a certain mathematical expression, in this embodiment, the user may input a character first, and input a stroke direction of the character when the character is in a selected state, so that the mobile device determines a currently selected character and the stroke direction thereof input by the user, and thereby directly utilize the stroke direction to generate a target mathematical expression including the currently selected character and a target operator matched with the stroke direction.
Several specific alternative implementations will be described below based on the mathematical expression input method described in the above embodiment, that is, the mathematical expression input method described in the above embodiment is refined, but is not limited to the several refined alternative implementations listed in this application.
Referring to fig. 6, there is shown a flow diagram of yet another alternative example of a mathematical expression input method as set forth in the present application, which may include, but is not limited to:
step S21, responding to the character input operation, determining the current selected character;
step S22, obtaining the stroking direction of the currently selected character in response to the sliding operation of the user on the current display interface;
it should be understood that for the implementation of step S22 for obtaining the stroke direction of the currently selected character, the mobile device to which the method is applied should have a touch screen, that is, the implementation is suitable for the scenario of touch interaction between the user and the mobile device, in which the input x shown in fig. 7a is referred to2In the application scenario, the user can press the letter key x on the character input interface to input x, then press the number key 2 and stroke the right upper corner at the same time, so that the mobile device knows that the stroke direction of the currently selected character 2 is the upper right, at the moment, the input cursor can be displayed at the position of the upper right corner to release the hand, and then the operation of x can be completed2The input of (1); similarly, when x is required to be input2Then, as shown in fig. 7a, the input process is similar, except that the user strokes to the lower right when pressing the number 2 key, so that the mobile device knows that the stroke direction of the currently selected character 2 is the lower right, thereby completing x2Is input.
If the user needs to input 2, the input stream is input in the scene that the user performs touch interaction with the mobile device
x
The process may be:
a user may press the number 2 key to input 2 in the number input interface shown in fig. 7b, and then switch to the letter input interface, as shown in fig. 7c, press the letter key x while sliding downward, and after releasing the operation on the x letter key, x may be displayed below 2, and at the same time, the current display interface may output operators having an up-down structure matching the direction of the downward sliding, such as a plurality of operators displayed on the top bar of the virtual keyboard.
It should be noted that the scene application diagrams shown in fig. 7a to 7c are schematically illustrated only by taking a finger touch operation of a user as an example, in practical applications, the scene application diagrams can be implemented by cooperating with a touch pen according to actual needs, if a mobile device has an input device such as a mouse and a keyboard, the mobile device can also cooperate with direction keys of the mouse and the keyboard to implement the input of the stroke direction of the currently selected character, and by taking a scene in which a user and the mobile device implement the input of a mathematical expression in a keyboard interaction manner as an example, the step S22 may also be: and the mobile equipment responds to the selection operation of the user on the direction key to obtain the stroking direction of the currently selected character.
In addition, in this embodiment, after obtaining the stroking direction of the currently selected character, the mobile device may generate the input parameter of the currently selected character by using the stroking direction of the currently selected character, where the input parameter includes the stroking direction of the currently selected character, and may also include information such as the currently selected character.
Step S23, obtaining a target operator matched with the stroking direction of the currently selected character, and determining the input position of the currently selected character in the target operator;
still taking the scenario shown in fig. 7b and 7c as an example for illustration, in an implementation manner of some embodiments, after the user inputs the stroke direction of the currently selected character, the current display interface of the mobile device may display at least one candidate operator matching the stroke direction, and then, as shown in fig. 7d, the user may directly select a desired target operator from the candidate operators, and at the same time, according to the stroke direction, it may be determined which input position of the target operator the currently selected character x is located, where x in the scenario is located below the expression, that is, output as the denominator.
Certainly, in practical application, the candidate operator with the top position displayed in the position sequence in the obtained at least one candidate operator may also be directly determined as the target operator without being selected again by the user, that is, after the user completes the operation shown in fig. 7c, the mobile device may directly obtain the target operator matched with the currently selected character based on the stroke direction of the currently selected character, and determine the input position of the currently selected character in the target operator.
It should be noted that how to utilize the stroke direction of the currently selected character to obtain the target operator and the implementation method of the input position of the currently selected character in the target operator by the mobile device is not limited to the above-listed implementation methods, and the implementation method may be flexibly adjusted according to the input habit of the user using the mobile device, and the detailed description is not given in this application.
Step S24, a target mathematical expression is generated using the target operator, the currently selected character, and its input location in the target operator.
It should be understood that, in a case that the target mathematical expression includes multiple operators, the character at each operator and the input position of each character corresponding to the operator may be taken as a part, and the user may input the character and the operator of each part in sequence.
Therefore, in this embodiment, when a user inputs a character, the character can be directly operated to the target mathematical expression in the selected state at the character input position in the corresponding target operator, so that the mobile device can know the stroke direction of the character, and accordingly, the target operator corresponding to the character and the input direction of the character in the target operator can be directly known, thereby generating the target mathematical expression, without the need for the user to frequently switch between the character and the operator input interface, and improving the interaction experience, and the operation mode of sliding the character more conforms to the operation habit of the user using the mobile device with a touch screen, is more convenient to use, and is helpful to improve the input efficiency of the mathematical expression, and particularly for the mathematical expression with a complex nested structure, the touch operation of the user is greatly reduced, the input efficiency is greatly improved.
Referring to fig. 8, a flowchart of yet another alternative example of the mathematical expression input method proposed in the present application is shown, and this embodiment is mainly how to obtain the refinement of the implementation process of the target operator by using the stroke direction of the currently selected character, but is not limited to the refinement described in this embodiment, as shown in fig. 8, the mathematical expression input method may include, but is not limited to:
step S31, responding to the character input operation, determining the current selected character;
step S32, obtaining the stroking direction of the currently selected character in response to the sliding operation of the user on the current display interface;
with regard to the implementation processes of step S31 and step S32, reference may be made to the description of the corresponding parts of the above-described embodiments.
Step S33, outputting at least one candidate operator on the current display interface according to the stroking direction of the currently selected character;
step S34, responding to the selection instruction of at least one candidate operator to obtain a target operator;
referring to the scenario application diagrams shown in fig. 7c and 7d above, a user pressing the x-letter key and sliding down can obtain a plurality of candidate operators, which can be output on the current display interface, such as the top bar of the virtual keyboard (but not limited to the display position), and as shown in fig. 7d, the user can select a desired target operator from the candidate operators, so that the mobile device can know the target operator corresponding to the currently selected character.
The selection command for at least one candidate operator may be generated based on a sliding operation of a finger of the user, or may be generated based on a sliding operation of a stylus or a mouse, or an operation of a corresponding arrow key on a keyboard, and the above fig. 7c and 7d are only schematic illustrations, and do not limit the generation method of the selection command.
In some implementation manners of embodiments, the mobile device may, in a process of outputting at least one candidate operator on the current display interface according to the stroke direction of the currently selected character, first obtain an operator structure that is characterized by the stroke direction of the currently selected character, where the operator structure is capable of characterizing an arrangement relationship between a plurality of character input positions corresponding to respective operators, so as to accordingly screen out at least one candidate operator having the operator structure, and output the at least one candidate operator on the current display interface. But is not limited to this candidate operator acquisition.
In an implementation manner of some embodiments, in a process of obtaining a target operator, a user may select the target operator in a manner described in this embodiment, and the mobile device may also directly determine, as the target operator, a candidate operator whose display position of the at least one candidate operator is ranked first.
Step S35, acquiring a plurality of character input positions corresponding to the target operator;
in practical application, for an operator in the mathematical expression, the mobile device may generate a corresponding structural orientation according to the operator, and character input positions capable of inputting characters in different structural orientations, and may represent the character input positions in the form of input boxes, such as X2In the mathematical expression, the power operator corresponds to two character input positions, e.g.
Figure BDA0002214564540000131
Two input boxes in (1).
It should be noted that, at any character input position corresponding to an operator, characters such as letters and numbers may be input as described above, but in a mathematical expression with a nested structure, an operator and characters may also be input.
Step S36, selecting a character input position matched with the stroking direction of the currently selected character from the plurality of character input positions to determine the character input position as the input position of the currently selected character;
after the above description, the mobile device obtains the stroke direction of the currently selected character, and then compares the stroke direction with each character input position in the target operator, with respect to the structural orientation of the target operator, for example, selects a character input position in the structural orientation that is consistent with the stroke direction, and determines the character input position as the input position of the currently selected character.
For example, referring to fig. 9a and 9b, when a user inputs a lower limit value 8 in an integral operator and then inputs an upper limit value 9, the user may slide to the upper right corner, the mobile electronic device may recommend one of a plurality of candidate operators, select the integral operator, and at this time, the mobile device may know two character input positions corresponding to the integral operator, that is, an upper limit character input position and a lower limit character input position, and then, since the stroke direction of 9 is to the upper right, the mobile device may determine the input position where the upper limit character input position is 9, and at the same time, may determine the input position where the lower limit character input position is 8.
Step S37, a target mathematical expression is generated using the target operator, the currently selected character, and its input location in the target operator.
Therefore, in the embodiment, when the user inputs the currently selected character, the stroke direction of the currently selected character is input, so that the mobile device recommends a limited number of matched candidate operators for the user by using the stroke direction of the currently selected character, the user quickly selects the required target operator from the candidate operators, and compared with the method of searching the target operator from one list of all operators, the query range is greatly reduced, the input efficiency of the target operator is improved, and the input efficiency of the mathematical expression is further improved.
Moreover, after the mobile device acquires the target operator, the input position of the currently selected character can be determined directly from the character input positions corresponding to the target operator by utilizing the stroke direction of the currently selected character, the input position of the currently selected character is determined without manually adjusting the cursor input position, the click input frequency is reduced, and the input efficiency is further improved.
In some implementations of the embodiments, in practical applications of the above embodiments, before the user inputs the currently selected character, if other characters in the mathematical expression have been input, that is, before the mobile device responds to the character input operation, there exists an input character, and the currently input character is not a character in a first operator in the mathematical expression, in this case, when determining the input position of the currently selected character in the target operator, the input position of the input character in the target operator can also be determined, that is, the input position of the input character from a plurality of character input positions is determined by using the stroke direction of the currently selected character, and then, when generating the target mathematical expression, the currently selected character, the input character, and the input positions of the currently selected character and the input character in the target operator respectively can be specifically used, and generating a target mathematical expression.
As analyzed above, the mobile device may determine, as the input position of the currently selected character, a character input position that matches the stroke direction of the currently selected character, from among the plurality of character input positions corresponding to the operator, and accordingly, may determine, as the input position of the input character, a character input position that does not match the stroke direction of the currently selected character, such as, in a divisional operator, a character input position at a position opposite to the stroke direction of the currently selected character, as the input position of the input character; for operators with other structures, as shown in fig. 9a and 9b, if the operator includes two character input positions, after the input position of the currently selected character is determined according to the stroke direction, another character input position is determined as the input position of the input character.
If the operator contains three or more character input positions, the method can input the stroke direction by a user when the character in the operator is input for the first time to obtain the operator, then input other characters in the operator, and simultaneously input the stroke direction when the other characters are input, so that the mobile equipment determines the input position of the corresponding other characters in the operator according to the stroke direction, and the like to finish the input of the operator and a plurality of characters contained in the operator, but the method is not limited to the input mode.
The input characters may include letters and numbers, and may further include operators according to actual situations, that is, the target mathematical expression includes multiple operators, and even under the condition that a nested structure exists in the multiple operators, the input operators and characters thereof may be taken as a whole and marked as input characters, and the input of the content of subsequent expressions is continued.
In an implementation manner of some embodiments, for the process of generating a target mathematical expression described in the foregoing embodiments, the present application may also be implemented in combination with a prediction algorithm, specifically, referring to fig. 10, a flowchart of yet another optional example of a mathematical expression input method proposed in the present application is shown, where the method may include:
step S41, responding to the character input operation, determining the current selected character;
step S42, obtaining input parameters of the currently selected character, wherein the input parameters comprise the stroking direction of the currently selected character;
regarding the implementation processes of step S41 and step S42, reference may be made to the description of corresponding parts of the foregoing method embodiments, which are not described in detail.
Step S43, analyzing the currently selected character and the stroking direction of the currently selected character to obtain at least one prediction data expression;
in this embodiment, the predicted data expression may include: the description of the corresponding parts of the above embodiments can be referred to for the relation between the input positions of different characters in the operator and the stroking directions of the corresponding characters.
It should be noted that the present application does not limit how to obtain the at least one predicted data expression by using the currently selected character and the stroke direction of the currently selected character, and may be implemented by using a prediction algorithm, and the specific implementation process is not described in detail.
In step S44, in response to the selection operation on at least one predicted data expression, the selected predicted data expression is determined as the target data expression.
As described above, the user may select a desired target data expression from the at least one predicted data expression output by the mobile device, and the specific selection method is not limited, and may refer to the above selection operation of the at least one candidate operator, which is not described in detail.
Therefore, in the embodiment, after the mobile device acquires the stroke direction of the currently selected character by the user, the target operator and the input position of the currently selected character in the target operator can be determined according to the stroke direction of the currently selected character, and on the basis, the stroke direction of the currently selected character is analyzed to predict the mathematical expression required by the user.
Referring to fig. 11, a block diagram of an alternative example of a mathematical expression input apparatus proposed in the present application, which may correspond to the above method embodiment, may be specifically applied to various mobile devices, and as shown in fig. 11, the apparatus may include:
a currently selected character determination module 11, configured to determine a currently selected character in response to a character input operation;
an input parameter obtaining module 12, configured to obtain an input parameter of the currently selected character, where the input parameter includes a stroking direction of the currently selected character;
wherein the stroke direction is generated when the currently selected character is in a selected state, in some embodiments, the input parameter obtaining module 12 may include:
the first obtaining unit is used for responding to the sliding operation of a user on a current display interface to obtain the stroking direction of the currently selected character; or, the second obtaining unit is used for responding to the selection operation of the user on the direction key to obtain the stroking direction of the currently selected character;
and the generating unit is used for generating the input parameters of the currently selected character by utilizing the stroking direction of the currently selected character.
A mathematical expression generating module 13, configured to generate a target mathematical expression by using the stroking direction of the currently selected character;
the target mathematical expression may include the currently selected character and a target operator matched with the stroke direction of the currently selected character.
In an implementation of some embodiments, as shown in fig. 12, the mathematical expression generation module 13 may include:
a target operator obtaining unit 131, configured to obtain a target operator matched with the stroking direction of the currently selected character;
as an optional example of the present application, in practical applications, the target operator obtaining unit 131 may include:
the candidate operator output unit is used for outputting at least one candidate operator on a current display interface according to the stroke direction of the currently selected character;
and the target operator determining unit is used for responding to a selection instruction of the at least one candidate operator to obtain a target operator.
In an implementation manner of some embodiments, the candidate operator output unit may include:
the operator structure obtaining unit is used for obtaining an operator structure represented by the stroke direction of the currently selected character, and the operator structure can represent the arrangement relation among a plurality of character input positions corresponding to corresponding operators;
and the candidate operator display unit is used for outputting at least one screened candidate operator with the operator structure on the current display interface.
The target operator determining unit may include:
a first determination unit, configured to determine a first candidate operator in a display position ranking of the at least one candidate operator as a target operator;
or, the second determining unit is used for responding to the selection operation of the user for the at least one candidate operator, and determining the selected candidate operator as the target operator.
An input position determination unit 132 for determining an input position of the currently selected character in the target operator;
a target mathematical expression generating unit 133, configured to generate a target mathematical expression by using the target operator, the currently selected character, and an input position of the currently selected character in the target operator.
As an optional example of the present application, the input position determining unit 132 may include:
a character input position acquisition unit for acquiring a plurality of character input positions corresponding to the target operator;
an input position selection unit, configured to select, from the plurality of character input positions, a character input position that matches a stroking direction of the currently selected character to be determined as an input position of the currently selected character;
in some embodiments, if there is an input character before responding to the character input operation, the apparatus may further include:
an input position acquisition module, configured to determine an input position of the input character from the plurality of character input positions by using the stroking direction of the currently selected character;
accordingly, the target mathematical expression generating unit 133 may specifically be configured to: and generating a target mathematical expression by utilizing the target operator, the currently selected character, the input character and the input positions of the currently selected character and the input character in the target operator respectively.
In an implementation manner of some embodiments, the mathematical expression generating module 13 may also include:
the analysis and prediction unit is used for analyzing the currently selected character and the stroking direction of the currently selected character to obtain at least one prediction data expression;
the prediction data expression comprises input characters, the currently selected characters and a prediction operator, and the arrangement relation of the input positions of the currently selected characters in the prediction operator relative to the input positions of the input characters in the prediction operator is matched with the stroking direction of the currently selected characters;
a target data expression determination unit for determining the selected predicted data expression as the target data expression in response to the selection operation on the at least one predicted data expression.
It should be noted that, various modules, units, and the like in the embodiments of the foregoing apparatuses may be stored in the memory as program modules, and the processor executes the program modules stored in the memory to implement corresponding functions, and for the functions implemented by the program modules and their combinations and the achieved technical effects, reference may be made to the description of corresponding parts in the embodiments of the foregoing methods, which is not described in detail in this embodiment.
The present application also provides a storage medium on which a computer program can be stored, the computer program being called and loaded by a processor to implement the steps of the mathematical expression input method described in the above embodiments.
Referring to fig. 13, a schematic structural diagram of a mobile device proposed in the present application is shown, where the mobile device may include: communication interface 21, input device 22, memory 23, and processor 24, wherein:
the number of the communication interface 21, the input device 22, the memory 23 and the processor 24 may be at least one, and the communication interface 21, the input device 22, the memory 23 and the processor 24 may communicate with each other through a communication bus.
The communication interface 21 may be an interface of a communication module, such as an interface of a GSM module, and may implement data interaction with other devices, and may further include interfaces such as a USB interface and a serial/parallel interface, which are used to implement data interaction between internal components of a mobile device, and may be determined according to a product type of the mobile device, which is not described in detail herein.
The input device 22 may include at least one of a touch sensing unit sensing a touch event on the touch display panel, a keyboard, a mouse, a camera, a microphone, and the like, and may be determined according to a product type of the mobile device, a usage habit of a user inputting information using the mobile device, and the like.
In the present embodiment, the memory 23 may include a high-speed random access memory, and may also include a non-volatile memory, such as at least one magnetic disk storage device or other volatile solid-state storage device. The processor 24 may be a Central Processing Unit (CPU), an application-specific integrated circuit (ASIC), a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), an off-the-shelf programmable gate array (FPGA) or other programmable logic device.
In this embodiment, the memory 23 may be used to store a program for implementing the mathematical expression input method described in each of the above embodiments; the processor 24 may be configured to load and execute the program stored in the memory 23 to implement the steps of the mathematical expression input method according to any alternative embodiment of the present application, and the specific implementation process may refer to the description of the corresponding parts of the corresponding embodiments below.
In one possible implementation, the memory 23 may include a program storage area and a data storage area, and the program storage area may store an operating system, and application programs required for at least one function (such as a text display function), programs for implementing the mathematical expression input method proposed in the present application, and the like; the data storage area can store data generated in the use process of the mobile device, such as mathematical expressions input by a user, the stroke directions of various characters input by the user and the like.
It should be understood that the structure of the mobile device shown in fig. 13 does not constitute a limitation to the mobile device in the embodiment of the present application, and may further include, as needed: at least one output device such as a display, speaker, vibration mechanism, lights, and the like, as well as various sensors, and the like. It will be appreciated that a mobile device in actual use may include more or fewer components than those shown in fig. 13, or some combination of components, which are not listed here.
It should be noted that, regarding the component structure of the mobile device, the functions implemented by the components, the technical effects implemented by the components matching with each other, and the like, reference may be made to the description of the corresponding parts in the foregoing embodiments, and details in this embodiment are not repeated.
Furthermore, the present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems) and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
In addition, in the present specification, each embodiment is described in a progressive or parallel manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments may be referred to each other. For the device disclosed by the embodiment, the description is relatively simple because the device corresponds to the method disclosed by the embodiment, and the relevant part can be referred to the method part for description.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the application. Thus, the present application is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (10)

1. A mathematical expression input method, the method comprising:
in response to a character input operation, determining a currently selected character;
acquiring input parameters of the currently selected character, wherein the input parameters comprise the stroking direction of the currently selected character, and the stroking direction is generated when the currently selected character is in a selected state;
and generating a target mathematical expression by utilizing the stroke direction of the currently selected character, wherein the target mathematical expression comprises the currently selected character and a target operator matched with the stroke direction of the currently selected character.
2. The method of claim 1, said generating a target mathematical expression using a stroke direction of said currently selected character, comprising:
acquiring a target operator matched with the stroking direction of the currently selected character, and determining the input position of the currently selected character in the target operator;
and generating a target mathematical expression by using the target operator, the currently selected character and the input position of the currently selected character in the target operator.
3. The method of claim 2, the obtaining a target operator that matches the stroke direction of the currently selected character, comprising:
outputting at least one candidate operator on a current display interface according to the stroke direction of the currently selected character;
and responding to a selection instruction of the at least one candidate operator to obtain a target operator.
4. The method of claim 2, the determining an input position for the currently selected character in the target operator, comprising:
acquiring a plurality of character input positions corresponding to the target operator;
selecting a character input position matched with the stroke direction of the currently selected character from the plurality of character input positions to determine as the input position of the currently selected character;
if there is an input character before responding to the character input operation, the method further comprises:
determining an input position of the input character from the plurality of character input positions by using the stroking direction of the currently selected character;
generating a target mathematical expression using the target operator, the currently selected character, and an input position of the currently selected character in the target operator, comprising:
and generating a target mathematical expression by utilizing the target operator, the currently selected character, the input character and the input positions of the currently selected character and the input character in the target operator respectively.
5. The method of claim 3, wherein outputting at least one candidate operator in a current display interface in dependence upon the stroke direction of the currently selected character comprises:
obtaining an operator structure represented by the stroke direction of the currently selected character, wherein the operator structure can represent the arrangement relation among a plurality of character input positions corresponding to corresponding operators;
and outputting the screened at least one candidate operator with the operator structure on the current display interface.
6. The method of claim 3, said deriving a target operator in response to a selection instruction of said at least one candidate operator, comprising:
determining the candidate operator with the first order of display position of the at least one candidate operator as a target operator;
or;
and determining the selected candidate operator as a target operator in response to the selection operation of the at least one candidate operator by the user.
7. The method of claim 1, said generating a target mathematical expression using a stroke direction of said currently selected character, comprising:
analyzing the current selected character and the stroke direction of the current selected character to obtain at least one predicted data expression, wherein the predicted data expression comprises an input character, the current selected character and a prediction operator, and the arrangement relation of the input position of the current selected character in the prediction operator relative to the input position of the input character in the prediction operator is matched with the stroke direction of the current selected character;
in response to a selection operation on the at least one predicted data expression, determining the selected predicted data expression as a target data expression.
8. The method according to any one of claims 1 to 7, wherein the obtaining of the input parameters of the currently selected character comprises:
responding to the sliding operation of a user on a current display interface or the selection operation of the user on a direction key to obtain the stroking direction of the currently selected character;
and generating the input parameters of the currently selected character by utilizing the stroke direction of the currently selected character.
9. A mathematical expression input apparatus, the apparatus comprising:
a currently selected character determination module for determining a currently selected character in response to a character input operation;
an input parameter obtaining module, configured to obtain an input parameter of the currently selected character, where the input parameter includes a stroking direction of the currently selected character, and the stroking direction is generated when the currently selected character is in a selected state;
and the mathematical expression generating module is used for generating a target mathematical expression by utilizing the stroking direction of the currently selected character, wherein the target mathematical expression comprises the currently selected character and a target operator matched with the stroking direction of the currently selected character.
10. A mobile device, the mobile device comprising:
a communication interface; an input device;
a memory for storing a program for implementing the mathematical expression input method of any one of claims 1 to 8;
a processor for loading and executing the program stored in the memory to implement the steps of the mathematical expression input method according to any one of claims 1 to 8.
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Citations (15)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2000132696A (en) * 1998-10-26 2000-05-12 Casio Comput Co Ltd Graph display device, its method, and recording medium recording graph display processing program
CN102147694A (en) * 2010-02-09 2011-08-10 康佳集团股份有限公司 Method, system and embedded equipment for window sliding
US20110291940A1 (en) * 2009-02-04 2011-12-01 Benjamin Firooz Ghassabian Data entry system
US20120151350A1 (en) * 2010-12-11 2012-06-14 Microsoft Corporation Synthesis of a Linear Narrative from Search Content
CN103150114A (en) * 2013-02-28 2013-06-12 浙江工商大学 Convenient and quick input method for touch screen
US20140002417A1 (en) * 2010-11-22 2014-01-02 Kenji Yoshida Information input system, program, medium
CN103699259A (en) * 2013-12-09 2014-04-02 宇龙计算机通信科技(深圳)有限公司 Cursor positioning method, cursor positioning system and touch equipment
CN103729087A (en) * 2013-12-09 2014-04-16 河海大学 Input method for recognizing multi-point touch gestures
CN104268118A (en) * 2014-09-23 2015-01-07 赵方 Mathematical formula calculator including touch screen and method for identifying mathematical formulas
JP5786542B2 (en) * 2011-08-10 2015-09-30 カシオ計算機株式会社 Formula input device and program
CN105335079A (en) * 2014-06-27 2016-02-17 联想(北京)有限公司 Input method, input device for virtual keyboard and electronic equipment
CN105653514A (en) * 2015-12-31 2016-06-08 深圳市金立通信设备有限公司 Text editing method and terminal
US20160370990A1 (en) * 2015-06-17 2016-12-22 Ca, Inc. Secure user input mode for electronic devices using randomized mathematical operators and operands
CN107844199A (en) * 2016-09-18 2018-03-27 北京搜狗科技发展有限公司 A kind of input method, system and the device for input
CN109844695A (en) * 2016-09-23 2019-06-04 李珪弘 Character entry apparatus

Patent Citations (15)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2000132696A (en) * 1998-10-26 2000-05-12 Casio Comput Co Ltd Graph display device, its method, and recording medium recording graph display processing program
US20110291940A1 (en) * 2009-02-04 2011-12-01 Benjamin Firooz Ghassabian Data entry system
CN102147694A (en) * 2010-02-09 2011-08-10 康佳集团股份有限公司 Method, system and embedded equipment for window sliding
US20140002417A1 (en) * 2010-11-22 2014-01-02 Kenji Yoshida Information input system, program, medium
US20120151350A1 (en) * 2010-12-11 2012-06-14 Microsoft Corporation Synthesis of a Linear Narrative from Search Content
JP5786542B2 (en) * 2011-08-10 2015-09-30 カシオ計算機株式会社 Formula input device and program
CN103150114A (en) * 2013-02-28 2013-06-12 浙江工商大学 Convenient and quick input method for touch screen
CN103699259A (en) * 2013-12-09 2014-04-02 宇龙计算机通信科技(深圳)有限公司 Cursor positioning method, cursor positioning system and touch equipment
CN103729087A (en) * 2013-12-09 2014-04-16 河海大学 Input method for recognizing multi-point touch gestures
CN105335079A (en) * 2014-06-27 2016-02-17 联想(北京)有限公司 Input method, input device for virtual keyboard and electronic equipment
CN104268118A (en) * 2014-09-23 2015-01-07 赵方 Mathematical formula calculator including touch screen and method for identifying mathematical formulas
US20160370990A1 (en) * 2015-06-17 2016-12-22 Ca, Inc. Secure user input mode for electronic devices using randomized mathematical operators and operands
CN105653514A (en) * 2015-12-31 2016-06-08 深圳市金立通信设备有限公司 Text editing method and terminal
CN107844199A (en) * 2016-09-18 2018-03-27 北京搜狗科技发展有限公司 A kind of input method, system and the device for input
CN109844695A (en) * 2016-09-23 2019-06-04 李珪弘 Character entry apparatus

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