166 results about "Mathematical formula" patented technology

The invention belongs to the technical field of information technology and image recognition, and relates to a handwritten mathematical formula recognition method and system. The method comprises the following steps: constructing handwritten mathematical formula annotation data; constructing an initial handwritten mathematical formula recognition model, training the initial model by using the annotation data, and performing joint optimization on a sequence decoding task and a tree structure prediction task to obtain a handwritten mathematical formula recognition model; and carrying out handwritten mathematical formula identification by adopting the handwritten mathematical formula identification model obtained by training. According to the method, the advantages of a sequence decoding model and a tree decoding model are fused, the understanding and generalization ability of the model to a mathematical formula structure are effectively improved, and the accuracy of handwritten mathematical formula recognition is remarkably improved on the basis of keeping the efficient parallel training advantages of an existing encoder-decoder model-based method.

The invention discloses a handwritten mathematical formula recognition method based on attention coverage and position perception, which comprises the following steps: constructing a position perception module, and generating a character position map through weak supervised learning; a multi-scale attention coverage module is constructed, and attention calculation in a Transform decoding architecture is optimized; and fusing the feature map and the position sensing map, and inputting the fused feature map and the fused position sensing map into a Transform decoder to generate a LaTeX sequence. Character position information is explicitly extracted through the position sensing module, and the understanding of the model on a complex mathematical structure is enhanced; the attention drifting is reduced by a multi-scale attention coverage mechanism; the training cost is reduced and the model performance is improved by adopting a counting label weak supervised learning mode.

The invention relates to the technical field of converter starting, in particular to an LLC full-bridge converter hybrid control soft start method, comprising the following steps: selecting a hybrid soft start strategy combining down-conversion starting and PWM starting, and respectively introducing nonlinear orders of a control switch frequency decline curve in the down-conversion starting process and a duty ratio rise curve in the PWM starting process; defining a mathematical formula of the change of the switching frequency and the duty ratio along with time when two nonlinear orders are different in value; establishing a simulation model, and substituting a mathematical formula that the switching frequency and the duty ratio change along with time when the two nonlinear orders are different in value into the simulation model; performing simulation testing on the nonlinear orders with different values, extracting the maximum resonance current, and determining an order combination with the best maximum resonance current suppression effect; and performing soft start of the LLC full-bridge converter based on the determined order combination. According to the invention, the current in the soft start process can be effectively suppressed, and meanwhile, quick start and device safety are considered.

The invention relates to the technical field, in particular to an offline handwritten mathematical formula recognition method based on deep learning, which comprises the steps of data acquisition and processing, formula detection and symbol segmentation, symbol feature extraction and recognition, structural analysis and reconstruction and evaluation and optimization. According to the offline handwritten mathematical formula recognition method based on deep learning, the robustness of a model to partial shielding is improved through decomposition and recombination, real handwritten deformation is simulated through local distortion, the generalization ability is enhanced through global distortion, a low-contrast image is improved according to CLAHE equalization, the illumination influence is reduced, and formula data enhancement diversification processing is ensured; a formula area is positioned through YOLOv5, adhesion symbols are accurately segmented and processed according to U-Net, global features are extracted by adopting Transform, a Tesseract OCR is called, a symbol library is self-defined, the OCR and a rule engine are combined, the special symbol recognition rate can be increased, a syntax tree is generated through syntax tree and PCFG analysis and recursive descent, an optimal structure is selected, and a two-dimensional layout is accurately analyzed.

The invention provides a rule-based layout check and automatic correction system, which relates to the technical field of integrated circuits, and comprises a rule input and management module, a layout data processing module, a rule check engine, a problem analysis and visualization module, an automatic correction module and a user interaction and control interface. Through a rule template library and a complex rule analysis mechanism, an efficient rule configuration mode is provided for a user, and the user can quickly adjust parameters based on a preset template to generate a user-defined design rule, or directly upload complex rule description containing a regular expression and a mathematical formula; and the system analyzes the data into executable logic units and stores the executable logic units in a rule database. According to the mode, the complexity and the time cost of design rule configuration are remarkably reduced, so that the system can flexibly adapt to different process nodes and design requirements, the universality and the efficiency of layout inspection are improved, and convenient and diversified rule management experience is provided for designers.

The invention provides a task scheduling method applied to a hybrid cloud environment. The method solves a plurality of problems in the prior art. Firstly, through comprehensive demand analysis and resource evaluation, the target and constraint conditions of task scheduling can be clarified, and blindness and randomness in the scheduling process are avoided. And secondly, through task classification and scheduling strategy formulation, optimal configuration of resources and efficient execution of tasks can be realized, and the stability and performance of the system are improved. In addition, by establishing a task scheduling model and designing a mathematical formula, the task scheduling process can be described more accurately, and the scheduling accuracy and efficiency are improved. And finally, through performance evaluation and optimization steps, problems can be found and solved in time, and the performance and effect of task scheduling are continuously improved.

The invention discloses an accurate formula calculation method and device based on a large language model, and the method comprises the steps: receiving a mathematical formula image inputted by a user and a calculation request described by a natural language, carrying out the recognition of the mathematical formula image, generating a standard LaTeX expression, carrying out the grammar and semantic verification, employing the large language model to analyze the calculation request, and carrying out the analysis of the calculation request. The method comprises the steps of identifying a calculation type, a target variable and a parameter, outputting a structured operation instruction, converting a standard LaTeX expression into a mathematical object compatible with a symbol calculation library according to the structured operation instruction, dynamically declaring a symbol variable according to the operation instruction, and executing symbol operation based on a parameter extraction result to obtain a symbol calculation result. A symbol calculation result is converted into a readable format to be output, LaTeX mathematical expressions and natural language description are supported, a large language model and a multi-modal model are used for accurately recognizing a formula and analyzing a user natural language problem, complex symbol calculation and equation solving are automatically completed, tasks can be automatically completed through natural language interaction, and the use threshold is lowered.

The invention provides a semantic enhancement-based mathematical formula representation and matching method, which relates to the technical field of mathematical formula representation and matching, and comprises the following steps of: positioning a formula picture of a target formula in a target text, and extracting a formula description text; identifying the formula picture, and converting the formula picture into a LaTeX expression; extracting a formula structure expression; generating a symbol formula tree; according to the formula structure expression, recognizing and extracting formula variable semantics from the formula description text; on the basis of variable proofreading and alignment, formula variable semantics are integrated into a symbol formula tree, and a semantic formula tree is formed; and performing formula matching through a similarity matching strategy, and realizing formula downstream application according to a similarity matching result. According to the method and the device, the technical problem that the formula matching effect is poor due to the fact that original text semantics of the analyzed formula information are lost to a great extent due to the fact that a formula analysis and expression method in the prior art is often insufficient in analysis or formula expression is separated from semantics is solved.

The invention discloses a handwritten mathematical formula dynamic recognition method based on multi-modal feature fusion, which comprises the following steps of: 1, performing code conversion on stroke track sequence information contained in data by adopting an HSV color model to generate an HSV pseudo-color image, and fusing the HSV pseudo-color image with a data binary image to obtain a time sequence rich image; 2, feature extraction is performed on the time sequence rich image and the stroke track sequence through a convolutional neural network, image features and stroke features are obtained, the stroke features are enhanced by using the image features, and multi-modal features are obtained after the image features and the enhanced stroke features are fused; step 3, enhancing the input multi-modal features by adopting position coding through a decoder, and performing symbol prediction in combination with an attention mechanism and a multi-scale symbol counting module to generate a mathematical formula symbol sequence; and 4, designing rules, and correcting the generated mathematical formula symbol sequence. According to the invention, the recognition accuracy of confusable characters can be improved.

The invention relates to the technical field of computer vision and pattern recognition, in particular to a stylized handwritten formula generation method based on graph structure guidance, which comprises the following steps: step 1, based on a target symbol dictionary, automatically generating mathematical formulas in batches by utilizing a python script and constructing a corresponding latex sequence; step 2, converting the latex sequence into a symbol graph; step 3, using a layout predictor based on a graph convolutional network to predict a rough layout of each symbol according to the symbol graph position information, and generating a bounding box; step 4, mapping the bounding box to a pixel-level soft mask; and 5, generating a handwritten mathematical expression image according to the soft mask by using an image decoder. According to the handwritten formula generation method, reliable data of a large batch of handwritten formulas can be quickly, efficiently and automatically generated, the problem that manual annotation and drawing acquisition are depended currently is effectively solved, and the data cost is remarkably reduced.

The present invention belongs to the field of dimension measurement technology, and specifically relates to a method, system, device, and medium for evaluating the uncertainty of a large-scale multilateral coordinate measurement system. The method inputs the acquired target point coordinates into an error transfer model to obtain three coordinate uncertainty components corresponding to the coordinate values. This uncertainty coefficient is then calculated based on the uncertainty introduced by the offset of the reflector's optical center, and the uncertainty evaluation is performed. The present invention, based on the fundamental principles of the multilateral coordinate measurement system, simplifies the system coordinate system to reduce parameters, thereby reducing the amount of calculations. The method also provides a specific mathematical formula, which facilitates rapid evaluation at the measurement site and is easy for metrologists to learn and apply.

The invention discloses a mathematical formula handwriting recognition method and system, and the method comprises the steps: carrying out the feature extraction of a low level, a middle level and a high level of obtained data of a handwritten mathematical formula, extracting detail parameters of the formula, such as stroke attributes, a space structure, an overall structure and a logic relation, and carrying out the formula conversion of an extraction result, and a high-precision handwritten mathematical formula identification result can be obtained. According to the method, hierarchical feature extraction is performed on the handwritten mathematical formula data, and the extracted detail parameters are taken as the identification basis of the complex mathematical formula, so that the identification accuracy of the complex handwritten mathematical formula can be improved, and the identification level of the complex handwritten mathematical formula can be effectively improved.

The present invention belongs to the technical field of text processing, and relates to an intelligent extraction method and system for an input text containing a mathematical formula. The method comprises: 1) performing format determination, conversion and preprocessing on an input text; 2) performing angle correction on the preprocessed image-formatted text; 3) performing formula detection; 4) performing layout analysis; 5) for inline formulas, according to a formula detection box, determining whether a corrected OCR detection box contains an inline formula, and splitting the OCR detection box containing the inline formula, so as to obtain a text-only OCR detection box; 6) performing formula recognition to obtain a formula recognition result; 7) performing text recognition to obtain a text recognition result; and 8) on the basis of a layout analysis box and a layout category thereof, performing same-line detection box determination and merging on the formula recognition result and the text recognition result, so as to obtain an extraction result for the input text. The present invention can effectively improve the extraction efficiency and accuracy for input texts containing mathematical formulas.

The invention relates to the field of data processing, in particular to an optimization method and system for generating a mathematical formula format based on a large language model, and the method mainly comprises the steps: constructing a proficiency scoring system, an intention library, a keyword library and a multi-level template library; determining the proficiency level of the user currently using the large language model; based on the intention information and the keyword, obtaining a template matched with the question input text, and generating an initial mathematical formula result; and performing dynamic format conversion processing on the initial mathematical formula result according to a format requirement of a user to obtain a final mathematical formula result. According to the method, the overall experience of a user is improved by improving the stability and accuracy of the large language model when the mathematical formula is generated, and the format of the mathematical formula can be dynamically adjusted according to user requirements, so that the flexibility and practicability are improved.

The invention provides a mathematical test question correction method and computing equipment, relates to the technical field of computers, and can improve the accuracy of test question correction. The specific scheme is applied to a computing device and comprises the steps that test question information is obtained, and the test question information comprises questions and answer content of the questions; searching knowledge point information related to the question from a mathematical knowledge graph which is a knowledge graph constructed by using mathematical knowledge points in advance; based on the questions, the knowledge point information, answer information of the questions and a multi-modal mathematical test question correction model, the correction result of the answer content is determined, and the answer information comprises standard answers and step scoring standards; the question, the knowledge point information and the answer information comprise at least one of a mathematical picture and a mathematical text, and the mathematical picture is used for indicating at least one of a mathematical formula, a mathematical table and a mathematical graph.

The invention discloses a mathematical formula identification coding method, and particularly relates to the technical field of formula coding. The method comprises the following steps: acquiring mathematical formula image data to be identified, and performing symbol boundary extraction and preprocessing to generate symbol feature expression data; and performing visual spatial layout analysis and symbol type semantic classification based on the symbol feature expression data to generate formula layout structure data and symbol semantic classification data. And through graph structure analysis based on a topological relation, determining an inter-symbol topological relation of the mathematical formula, and generating symbol topological relation data. And deriving a dimension constraint relationship and an operator dependency relationship between symbols through a mathematical meta-knowledge mining technology, and generating mathematical meta-knowledge constraint data. Initial mathematical formula structure expression data is generated through decoding of structure and semantic constraint fusion, and a formula coding sequence is generated through formula consistency verification and semantic constraint reconstruction. According to the invention, the accuracy and efficiency of mathematical formula identification can be effectively improved.

The invention discloses a mathematical formula-based parameterized automatic modeling method and system for a power transmission tower, and the method comprises the steps: obtaining the parameters of the power transmission tower, splitting the power transmission tower into a tower foot, a tower body and a tower head, and obtaining the corresponding parameters of each part; modeling the tower foot, the tower body and the tower head based on the corresponding parameters; assembling the tower foot, the tower body and the tower head to generate a transmission tower model; rendering and exporting a power transmission tower model; according to the parametric modeling method for the transmission tower, the defects of a traditional modeling method can be effectively overcome, the modeling efficiency and quality of the transmission tower are improved, and a powerful guarantee is provided for safe and stable operation of a power system.

The invention provides an intelligent updating method of a master-slave version linkage database, and belongs to the technical field of database updating, and the method comprises the steps: converting different key elements of a clothing version into quantitative correlation parameters based on a multi-dimensional parameterization correlation model, and building a real-time binding relationship between a master version and a slave version based on a mapping rule of a database layer; the method comprises the following steps: constructing a multi-modal clothing process knowledge graph, fusing multi-modal data to deeply associate clothing pattern data with key elements to obtain a pattern adjustment vector set, and adopting a multi-dimensional change type intelligent identification and priority judgment engine to automatically identify a master pattern change type and judge an adjustment priority based on a real-time binding relationship. And in combination with a preset AI self-optimization clothing structure mathematical formula library and a model adjustment vector set, the sub-templates are driven to complete adaptive adjustment of corresponding parts so as to realize intelligent updating. Manual plate-by-plate adjustment is not needed, the plate type updating efficiency is greatly improved, and size deviation and process defects are effectively reduced.

To efficiently and highly accurately predict nonlinear stress-strain behavior.SOLUTION: A stress-strain behavior prediction method includes: acquiring a stress-strain curve of a resin material at a plurality of temperatures; acquiring parameters of Formula (1) from the stress-strain curve; acquiring temperature-dependent data for each parameter on the basis of the acquired parameters; calculating stress or strain generated in a resin molded body by simulation using a model of the resin molded body; calculating parameters of the Formula (1) at a temperature set in the simulation on the basis of the temperature-dependent data; and calculating nonlinearity of the stress and strain using the stress or strain calculated by the simulation and the Formula (1) in which the calculated parameters are set. Mathematical Formula 1.SELECTED DRAWING: Figure 1

The invention provides a mathematical formula processing method and device, computer equipment and a readable storage medium, and relates to the field of formula editing. The method comprises the following steps: acquiring a mathematical formula text, and identifying a to-be-processed mathematical formula in the mathematical formula text; performing error recognition on the mathematical formula to be processed through a pre-constructed formula error recognition strategy; for non-start-stop character errors existing in the to-be-processed mathematical formula, repairing the non-start-stop character errors of the to-be-processed mathematical formula through a target repairing rule corresponding to the non-start-stop character errors; and aiming at the start-stop character errors existing in the to-be-processed mathematical formula, repairing the start-stop character errors of the to-be-processed mathematical formula through a pre-constructed start-stop character recognition repair model.

The invention discloses a handwritten mathematical formula identification method based on dual feature fusion. The method comprises the following steps: S1, acquiring a processed handwritten mathematical formula image; s2, a handwritten mathematical formula recognition model is established and trained, and a trained handwritten mathematical formula recognition model is obtained; wherein the established handwritten mathematical formula recognition model comprises a feature extraction module; the dual feature fusion module is used for performing feature fusion on the feature maps of different scales according to a cross-stage feature fusion mode and a mode based on a self-attention mechanism; the parallel visual attention module is used for performing weighted fusion on the fused feature map to obtain an aligned visual feature map; a bidirectional mutual learning decoding module; and S3, carrying out handwritten mathematical formula identification based on the trained handwritten mathematical formula identification model. The method focuses on the details of handwritten mathematical symbols, helps to distinguish symbols with similar forms and capture the relationship between the symbols, dynamically distributes attention according to the relative importance between different characters, helps a model to more accurately capture tiny but crucial differences, and improves the accuracy of similar character recognition.

Disclosed are methods and systems for processing storage system monitoring data. The time component may be removed from the storage system monitoring data and may be stored as a mathematical formula, such as a line. The data from the storage system monitoring data may be separately analyzed to determine a compression algorithm to be applied to the data, such that the compressed data may be stored as a mathematical formula. Storing the storage system monitoring data as a mathematical formula lowers the amount of storage needed to store the storage system monitoring data, lowers the amount of network bandwidth needed to transfer the storage system monitoring data, and lowers the processing resources needed to process the storage system monitoring data. The removed time component may be used as an index to access the compressed data.

The invention provides a webpage end formula visualization method, system and product based on an abstract syntax tree, and relates to the technical field of Internet. The method comprises the following steps: creating a canvas at a webpage end and setting a canvas size and a drawing tool; obtaining a to-be-visualized mathematical formula character string, and performing lexical analysis on the mathematical formula character string to obtain a lexical unit sequence; constructing an abstract syntax tree based on the lexical unit sequence; according to a mathematical formula character string and the size of the canvas, determining a coordinate system and a scaling ratio of the mathematical formula character string in the size of the canvas, and obtaining a drawing area; and performing recursive traversal from a root node of the abstract syntax tree, calling a corresponding drawing tool, and drawing a character element corresponding to each tree node in a drawing area according to a traversal path, so that a mathematical formula character string is completely presented in a canvas of a webpage end. According to the method, the problem that the current visualization process is complex and low in efficiency is solved.

The invention discloses an automatic driving vehicle driving behavior compliance simulation test method, which comprises the following steps of S1, decomposing a natural language traffic regulation into an initial premise and a constraint condition, digitalizing the initial premise and the constraint condition by utilizing measurement sequential logic, and generating a mathematical formula which can be analyzed by a machine; s2, constructing a simulation scene according to the initial premise; s3, accessing the tested automatic driving algorithm to the self-vehicle in the simulation scene, and collecting vehicle state and environment data in real time; and S4, dynamically adjusting a violation detection threshold based on the constraint condition and the current weather and road conditions, and outputting a detection result. The method is different from a traditional real vehicle testing method, and various possible scenes including extreme weather, road conditions and the like can be covered more comprehensively; different from a traditional violation detection method, the method considers the influence of road and weather factors on violation detection conditions for different test scenes, and is higher in universality.

The present invention discloses a robot curved surface profiling control method for controlling a robot including a hand, an arm, and a control unit. The robot curved surface profiling control method performs processing including a normal direction determination step and a working tool posture control step. In the normal direction determination step, according to a mathematical formula approximating the shape of a target workpiece having a curved surface, the normal direction of the virtual shape at a virtual position where the working tool mounted on the hand contacts the virtual shape represented by the mathematical formula is obtained. In the working tool posture control step, at a position on the surface of the target workpiece corresponding to the virtual position, that is, at a corresponding position, the working tool mounted on the hand is brought into contact with the target workpiece in a posture along the normal direction determined in the normal direction determination step.

The invention belongs to the field of metallurgical rolling automation control, and discloses a hot continuous rolling-cold continuous rolling full-process silicon steel same-plate difference plate shape control method which comprises the specific steps that a mathematical formula used for obtaining hot-rolled silicon steel section contour parameters is established; constructing a hot continuous rolling-cold continuous rolling whole-process complete data set; constructing a silicon steel same plate difference prediction model of the hot continuous rolling-cold continuous rolling whole process; training the established cold rolling outlet same plate difference prediction model by using the sample data set; according to a prediction result of the cold rolling outlet same plate difference prediction model, comparing with a target plate shape, and dynamically adjusting hot rolling outlet section parameters and cold rolling rack process parameters, the method is suitable for the production process of high-end plate strips such as high-precision silicon steel, fusion control of upstream and downstream rolling procedures of a hot continuous rolling-cold continuous rolling whole process is achieved, and the production efficiency is improved. And the high-precision same-plate difference plate shape control quality of the cold-rolled silicon steel is guaranteed, and good industrial application prospects and popularization values are achieved.

This invention discloses a method and system for managing and automatically formatting slide content based on a tree structure. By abstracting different types of materials such as text, images, tables, code snippets, and mathematical formulas into tree nodes with parent-child hierarchical relationships, users can freely add, delete, move, or mark nodes in a visual interface to achieve rapid merging or splitting of multi-level documents. The system then maps several nodes into multiple slides based on the node merging or splitting markers; and automatically formats the pages during the output stage, including overflow detection and font scaling, adaptive image proportioning, line wrapping for tables or code snippets, and format conversion of mathematical formulas. This approach significantly reduces the burden of manually adjusting text and images, maintains consistency and aesthetics in slide layout across different resolutions, and is suitable for multi-level, text-rich, and large-scale presentation document scenarios.

The embodiment of the present application discloses a kind of mathematical formula identification method and electronic equipment.The method comprises: by listening to clipboard, the image captured in the clipboard is obtained, and the mathematical formula content and the context content of the mathematical formula content are extracted from the image, which is to be carried out mathematical formula identification;The mathematical formula content is identified, and the mathematical formula is obtained;From the context content, the key content related to the mathematical formula is extracted, and the key content is identified, and the semantic information of the mathematical formula is obtained;The mathematical formula and the semantic information are used as the mathematical formula identification result of the image.The technical scheme of the embodiment of the present application solves the problem that the readability of mathematical formula identification result is not strong.

Embodiments of the present invention relate to a method for modeling non-logging areas of a logging site, which allows for efficient modeling of non-logging areas relative to logging areas within the logging site, thereby minimizing damage to the diversity of inhabiting animals and enhancing connectivity between habitats, and to a design for a logging site selected by this method. To this end, the embodiment of the present invention comprises the steps of: acquiring a plurality of designs in which the area of ​​a logging site and the area of ​​a non-logging site are drawn within the logging site; calculating the size (M) of each effective non-logging area for the plurality of designs using the following mathematical formula; and selecting the design having the largest value among the calculated effective non-logging area sizes as the design for the logging site; wherein the mathematical formula is (At: total area of ​​the site, i~n: each logging area, Ai: area of ​​each logging area). A method for modeling non-logging areas of a logging site and a design for a logging site selected by this method are provided.