137 results about "Mathematical formula" patented technology

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 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 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 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 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 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 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 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.

The invention discloses a cryptographic intelligent question and answer method based on maximum marginal correlation retrieval, and relates to the technical field of natural language process.The method comprises the steps that firstly, a cryptographic field document is subjected to analysis and semantic partitioning, and the integrity of mathematical formulas and algorithm logic is ensured by dynamically calculating text similarity; and information splitting caused by traditional fixed partitioning is avoided. And then, obtaining knowledge fragments which are related to the question and have various contents from the vector database by utilizing a maximum marginal correlation retrieval algorithm, and providing multi-angle reliable contexts for answer generation. And finally, through field adaptive prompt engineering and dynamic parameter adjustment, guiding the large language model to play a role of a cryptography expert based on the retrieved context, and generating an accurate personalized answer meeting the user demand.

The present invention discloses a method for dynamic recognition of handwritten mathematical formulas based on multimodal feature fusion, comprising the following steps: 1. encoding and converting the stroke trajectory sequence information contained in the data using the HSV color model to generate an HSV pseudo-color image, and then fusing the HSV pseudo-color image with the data binary image to obtain a temporal rich image; 2. extracting features from the temporal rich image and the stroke trajectory sequence using a convolutional neural network to obtain image features and stroke features, and enhancing the stroke features using the image features, and then fusing the image features with the enhanced stroke features to obtain multimodal features; 3. enhancing the input multimodal features using position encoding using a decoder, and then 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 to correct the generated mathematical formula symbol sequence. The present invention can improve the accuracy of easily confused character recognition.

The invention relates to the technical field of sheet metal part bending processes, and discloses a bending process verification method and system based on multi-source parameter linkage, and the system comprises a drawing information acquisition module, an automatic parameter calling module, a parameter analysis and calculation module, a bending process quadruple verification module and a verification result output module. The method comprises the steps of obtaining design parameters of a bent part through a design drawing, receiving empirical values input by a user, completing automatic calling of the parameters through a built-in material mapping function and a built-in equipment mapping function, calculating key process parameters through a preset mathematical formula based on output parameters and a calling result of a primary parameter calling layer, and determining the bending degree of the bent part on the basis of the key process parameters. And performing quadruple verification on the bending process by combining a calling result of the secondary parameter calling layer, outputting process guidance data, realizing automatic parameter mapping, and compressing process analysis time.

The invention discloses a spatial geometric model display method and system based on advanced mathematics, which can realize full-automatic and high-fidelity conversion from an original function expression to a three-dimensional rotating curved surface by constructing an advanced mathematics symbol analysis method. A dynamic sampling strategy based on a function change rate and a quaternion space rotation mechanism are adopted, and geometric accuracy and calculation stability of complex functions, especially piecewise functions and implicit functions under any rotation axis are guaranteed; real-time rendering and mathematical formula synchronous deduction are combined, an intuitive mapping relation from algebraic expression to spatial form is established, and the understanding depth of students on the rotating curved surface generation principle is remarkably enhanced; interactive operation and a multi-level teaching auxiliary function are introduced, the sense of participation and teaching applicability of the demonstration process are improved, the method is suitable for university mathematics public courses and engineering professional basic teaching scenes, and the structural defects of an existing visualization means in the aspects of semantic comprehension, adaptation flexibility and teaching fusion degree are effectively overcome.

1. Title of the invention Method and system for calculating and controlling the remelting temperature of multi-component alloys 2. Technical field The invention relates to a method for determining and controlling the remelting temperature of alloys in metallurgy, in particular for industrial smelting technology and metal recycling. 3. State of the art Existing methods are based on experimental measurements with stepwise temperature increases, which is energy-intensive and environmentally damaging. 4. Object of the invention The aim is to calculate the remelting temperature based on the chemical composition in order to use energy in a targeted manner, optimize the melting process and reduce environmental impact. 5. Solution to the task The procedure includes: 1. Analysis of the alloy composition, 2. Retrieving melting points from a material database, 3. Calculation of the remelting temperature using the mathematical formulas listed in this patent, 4. Real-time temperature monitoring, 5. Computer-aided control of energy supply. 6. Software can automate the process. 6. Key advantages 1. Reduced energy consumption, 2. Faster melting processes, 3. Improved process control, 4. More efficient metal recycling. 7. Areas of application Use in metallurgy, production and recycling of alloys, and in foundries.

A learning support system includes, an operator; a display; and at least one processor. The at least one processor obtains timekeeping information in a case in which an answerer inputs by handwriting through the operator an answer including a mathematical formula or a chemical formula in a step-by-step answer process leading to a final answer. In a case in which the answer handwritten by the answerer is displayed on the display as a handwritten input image, the at least one processor controls the display to display a length of a duration required for the answerer to input by handwriting the answer process in a state associated with each step of the answer process.

The invention discloses an implementation method and system for converting a Markdown text into a PDF (Portable Downstream Format) and a medium, mainly relates to the technical field of text conversion, and is used for solving the problems that in the prior art, dynamic layout adaptation capability is lacked, a static PDF page template is adopted in the conversion process, and typesetting is abnormal when unstructured contents including mathematical formulas, flow charts and the like are processed. Comprising the following steps: obtaining a Markdown text to be converted, analyzing the Markdown text to be converted into an abstract syntax tree by utilizing a Java open source library, and further calling a corresponding analysis program by utilizing the abstract syntax tree to obtain document structure information; obtaining a style rule of the style type of the PDF through a preset configuration file or an API interface, and configuring the style rule in a Java PDF generation library; and configuring the document structure information to generate a PDF document by utilizing a Java PDF generation library and an abstract syntax tree.