68 results about "Mathematical formula" patented technology

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.

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 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 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.

The specification discloses a three-dimensional model rendering method, device, storage medium and electronic equipment. In the three-dimensional model rendering method provided in the specification, a three-dimensional model to be rendered and a rendering space in which the three-dimensional model is located are acquired; a directed distance function is constructed according to the three-dimensional model; a position relationship between each voxel contained in the rendering space and the three-dimensional model is determined by using the directed distance function; and the three-dimensional model is rendered according to the position relationship of each voxel. The three-dimensional model rendering method provided in the specification can be used to render any three-dimensional model, the position relationship between each voxel and the three-dimensional model can be determined by using the directed distance function, and finally the rendering is completed according to the determined position relationship. The method can not only realize the rendering of a conventional three-dimensional model, but also realize the efficient rendering of a three-dimensional model that cannot be expressed by a traditional mathematical formula, and effectively solves the problem that a complex free body is difficult to render.

The invention provides a method for calculating the shortest contact line length of an incomplete gear pair of a planetary roller screw, and the method comprises the steps: building a meshing curved surface equation of the incomplete gear pair based on basic geometric parameters, calculating the contact point coordinates of the gear pair according to the meshing curved surface equation, constructing a contact thread section according to the calculated or preset meshing radius of the incomplete gear pair, and obtaining the shortest contact line length of the incomplete gear pair. And the shortest contact line length value of the incomplete gear pair is obtained through contact thread section calculation. According to the method, a traditional process depending on finite element simulation or complex modeling is simplified, the length of the contact line is directly solved through a mathematical formula, and resource consumption and a design period are reduced; a uniform meshing curved surface equation and a coordinate transformation matrix are utilized to accurately describe the dynamic meshing state of the gear pair, and tedious iterative analysis is avoided. According to the method, both precision and convenience are considered, the technical threshold of front-line personnel is greatly reduced, and efficient and reliable theoretical support is provided for optimization design and engineering application of the planetary roller screw.

A kind of mathematical formula parsing and code generation method based on abstract syntax tree, for the pseudo code of input file description control algorithm in the process of satellite-borne software development coding, with syntax tree structure as intermediate carrier, carries out independent identification, analysis, code generation, through the identification and analysis of the logic of control algorithm of mixed LaTeX syntax and C language syntax, code identification and processing are carried out with the inconsistent situation of C language function call with C language function call, which is represented by matrix operation, and the operation result is passed into the operation function in the form of pointer.

This application provides a method and system for preventing and controlling cascading faults in AC / DC hybrid power grids that consider the integration of new energy sources. Using the Monte Carlo method, stochastic power flow is calculated based on wind power output models, photovoltaic power output models, and energy storage power station output models of the AC / DC hybrid power grid. Regarding the impact of the initial fault on the AC system, assuming the initial fault is cleared by protection, a first mathematical formula is established based on the calculated power flow values ​​and their corresponding setting values ​​to determine whether a cascading fault has occurred in the AC system. Regarding the impact of the initial fault on the DC system, a second mathematical formula is established based on the calculated power flow values ​​to represent the commutation changes in the DC system. A third mathematical formula is established based on the two formulas to determine whether a cascading fault has occurred in the AC / DC hybrid power grid. An objective function is established to maximize the third mathematical formula and minimize the overall economic cost. Constraints before and after the initial fault are also established to obtain a cascading fault prevention and control model, thereby effectively blocking the propagation path of cascading faults.

The application discloses a method and device for correcting table type questions in CPA (Certified Public Accountant) examination, and relates to the online education technical field.The method comprises the following steps: obtaining the stem information of the table type questions and the answer information corresponding to the stem information; analyzing the answer information according to the stem information to obtain the answer analysis information of multiple table cells; and correcting according to the answer analysis information.The application is designed according to the overall characteristics of the table type questions in the CPA examination, and can effectively analyze the complex, coded, special operation defined mathematical formula and the answer containing the CPA examination specific professional terms in the student answer table, and then compare and match each text content or numerical content in the user answer with the content or numerical value in the reference answer, and obtain the student answer score and the correction result.The application simplifies the correction process, and can stably, accurately and automatically correct the answer efficiently.

The invention discloses a Word document format conversion method capable of configuring rules and cooperating with a natural language, which comprises the following steps of: S1, configuring a document format, and obtaining a structured parameter of a target format; s2, carrying out Word document analysis and structured conversion; s3, reconstructing a depth style of the HTML document; and S4, converting the processed HTML document into a docx format file, performing format conversion on the LaTeX code in the document, converting the LaTeX code into an Office mathematical formula object, and finally outputting a standardized Word document. The original Word documents in various formats can be processed, the standard Word documents output after processing do not have the situation of format disorder or content loss, and the problems that in traditional document format conversion, operation is complex, formats are not uniform, and formulas cannot be edited are effectively solved.

The application provides a character division method and device, computer equipment and a storage medium, and belongs to the field of character recognition. The method comprises the following steps: constructing a character classification model; determining the range coordinates of the regions where the composite characters, variable characters and binary characters are located; determining the attraction degree between the regions where different characters are located according to the range coordinates of different characters within the range coordinates of the same composite character; and fusing the variable characters, binary characters and general characters according to the attraction degree to determine target characters. In this way, the characters are classified first, and different types of to-be-recognized characters can be processed according to their particularities, which is beneficial to improving the accuracy of character processing. Furthermore, the regions where different characters are located are fused and divided according to the range coordinates, so that the composite characters with two-dimensional structures are fully considered, which is beneficial to improving the recognition accuracy of mathematical formulas with two-dimensional structures.

The present disclosure relates to a mathematical formula recognition method and device, electronic equipment and readable storage medium. The method comprises: obtaining an original image containing a mathematical formula; inputting the original image into a formula recognition model to obtain a predicted character set output by the formula recognition model; the predicted character set comprises character data and structure data; restoring the position of the character data in the mathematical formula according to a preset formula format and the structure data to obtain the mathematical formula in the original image. In this embodiment, by setting the structure data, the relative position relationship of the character data can be represented, the problem of missing characters in the complex formula recognition process can be eliminated, and the recognition accuracy can be improved.

The application discloses a kind of shipbuilding industry intelligent manufacturing operation system, belong to shipbuilding digital management technical field.System includes ten big modules such as basic data management, production plan and scheduling, material management, production process control, equipment management, quality management, data traceability and analysis, exception and safety management, cost and change management, system integration;Adopt microservice architecture, containerized deployment and encryption security system, built-in shipbuilding global collaborative optimization algorithm, intelligent scheduling algorithm, matching algorithm, equipment health degree prediction algorithm, quality traceability algorithm, exception hierarchical response algorithm, cost dynamic accounting algorithm and multi-dimensional data analysis algorithm, realize multi-objective optimization by mathematical formula modeling.The application solves the problems of weak shipbuilding plan coordination, disordered material management, difficult quality traceability, low resource utilization, incompatible system, etc., realizes transparent, refined and intelligent control of the whole production process, and significantly improves production efficiency.

The invention discloses a self-adaptive fine-tuning intelligent question reasoning and feedback method and system, and relates to the technical field of intelligent text analysis. The method comprises the following steps: initializing a system; receiving user input, extracting a topic text and a mathematical formula, converting the topic text and the mathematical formula into LaTeX and natural language description, and integrating the LaTeX and natural language description into structured data; a problem solving thinking chain including problem understanding, step decomposition, step-by-step reasoning and result verification is generated; through semantic similarity calculation, sequence alignment and step matching degree evaluation, wrong steps are positioned and types are judged, an answer correctness conclusion and missing step information are comprehensively obtained, and improvement suggestions are generated and output in a multi-mode form; meanwhile, the basic model is subjected to self-adaptive fine adjustment through LoRA according to the triggering condition so as to adapt to the style and difficulty of a user question. According to the method, correction accuracy and personalization are improved, and meanwhile, reasoning process interpretability, deployment cost controllability and multi-modal input processing capacity are considered.

To provide a mathematical expression processor for easily confirming a setting state or a setting item related with the calculation of a mathematical expression.SOLUTION: A plurality of setting items corresponding to each type of setting related to the calculation function are provided, one setting item is selectively set from among the plurality of setting items for each type of setting, and symbols (icons) (display objects) representing the setting items in the set state corresponding to each type are displayed in black (first display form) side by side in a row on the status bar of the calculation screen Gm without displaying the symbols of the setting items in the non-set state. When it is determined that the mathematical expression (type of calculation) or the calculation result input and displayed on the calculation screen Gm satisfies any of the plurality of conditions predetermined in the display condition table (14d) corresponding to the type of setting or each of the plurality of setting items, the display form of the symbol corresponding to the type or the setting item determined to satisfy the condition is changed from black display to blue display BL (second display form) and highlighted.SELECTED DRAWING: Figure 1

This invention discloses an automatic mathematical formula conversion method and system integrating image recognition and semantic processing, relating to the field of data processing technology. The method includes: performing symbol-level recognition on mathematical formula images to obtain an original symbol data set; parsing the structured data to generate a data expression set containing symbol units, categories, positions, and interrelationships; constructing a candidate structure space for mathematical expressions representing multiple potential semantic interpretations; introducing a set of mathematical semantic constraints for consistency evaluation to determine the target mathematical expression structure; and performing structure-preserving formula conversion processing to generate the mathematical formula representation result. This invention solves the technical problems of insufficient structural ambiguity resolution, missing mathematical semantic information, and structural distortion during format conversion in existing technologies, leading to insufficient accuracy and reliability in mathematical formula recognition and conversion. It achieves the technical effect of accurate and unambiguous parsing of mathematical formulas and improves the accuracy and reliability of formula recognition and conversion.

The invention relates to the technical field of building construction, in particular to a large-span dome suspended ceiling parameterization rhombus module grading optimization construction method. The method comprises the following steps: firstly, performing parametric modeling on a dome space curved surface, extracting a main curvature parameter and dividing the main curvature parameter into a plurality of rhombic grid units; secondly, initial grouping is conducted on the modules according to curvature judgment, and complex module types are optimized into a small number of standardized templates through an energy function and a template assignment algorithm, and the standardized templates comprise a hyperbolic plate combination, a single-curved plate combination and a flat plate combination; in the processing stage, the bending radius of the single-curved plate and the hot-pressing radius of the double-curved plate are calculated by adopting a mathematical formula, so that the module forming precision is ensured; in the installation stage, an open joint method or a close splicing method can be adopted, and splicing joint continuity and visual integrity are guaranteed through parameterization constraint. According to the optimized construction method, a dynamic adjustment mechanism is introduced in the construction process, and real-time correction of installation errors is achieved by comparing actually measured point cloud with a design model and combining the fine adjustment function of keel nodes.

The application discloses a kind of based on LaTeX method for realizing formula automatic mathematical operation, storage medium and electronic equipment, method includes: preprocessing LaTeX formula and code;The set of mathematical objects in LaTeX formula and code is obtained;Determine the DOM element mathematical object that LaTeX formula can be selected, can be dragged and can be placed;Highlight prompt the DOM element mathematical object that can be placed when dragging;Determine source, target DOM element mathematical object;Prompt user to make selection in possible multiple mathematical operations;Add animation effect in mathematical operation process;Find corresponding source, target string mathematical object LaTeX code;The modification that conforms to mathematical operation is carried out to LaTeX code;Refresh formula;Animation prompt the DOM element mathematical object that changes.This application provides a new way of formula derivation, liberate people in the most mechanized brain work in mathematical formula derivation process.

This application provides a multi-dimensional feature learning and real-time prediction method for tourism service supply and demand matching. The method includes: extracting historical matching records and performing hierarchical sampling and balanced labeling for low-frequency tourism matching scenarios to obtain a training sample set; extracting four types of feature vectors: purchase order, guide, cross, and time series; constructing refined features based on scenario-based mathematical formulas; and concatenating them to obtain a complete feature matrix; encoding and preprocessing the feature matrix; training and validating a gradient boosting tree model; automatically learning high-order feature interactions through the model to obtain a prediction model; deploying a Redis real-time feature service to achieve low-latency feature querying and real-time updates; receiving prediction requests, performing batch inference, dynamically sorting in real-time, and returning a guide list; and detecting data drift in real-time, triggering automatic model retraining. The entire process can handle dynamic changes in business data without manual intervention. This application can improve matching success rate and business conversion rate while reducing operation and maintenance costs.

The invention discloses a drink shaking parameter calculation model and a construction method thereof, relates to the technical field of data processing, and carries out quantitative description on a'shaking 'cooking process highly depending on artificial experience and feeling through physical modeling and mathematical formulas for the first time. Based on an equivalent medium theory, the beverage, which is a multiphase mixture, is equivalent to a simplified physical model of interaction of two fluids of an equivalent heavy phase and an equivalent light phase. The simplification grasps two most critical macroscopic physical quantities, namely density difference and viscosity, which influence mixing, so that complex problems can be calculated. Through the model, the optimal shaking parameters of the beverage can be calculated in a self-adaptive manner, so that the taste, flavor fusion degree and uniformity of the final beverage are optimal. The invention further provides a rolling control method for the freshly-made beverage, the rolling work of the freshly-made beverage is automatically completed on the basis of the calculation result of the beverage rolling parameter calculation model, and the controllability of the product quality is improved.

According to the method for determining the minimum-weight marine lamp bracket, the reliability of the lamp bracket structure is evaluated according to the two indexes of the strength characteristic and the vibration characteristic of the lamp bracket structure, and the lamp bracket is finely designed according to the characteristics of the lamp bracket structure. According to the method, the proxy model is introduced into the lamp holder with the reinforced complex structure, bending stress and first-order inherent frequency of input structure parameters and output parameters in an uninterpretable original model are converted into analyzable mathematical formulas, structural optimization design of the lamp holder with the reinforced structure is carried out through the genetic algorithm, computing resources are saved, the design period is shortened, and the design efficiency is improved. Compared with a non-reinforced lamp bracket structure, a reasonable design of the marine lamp bracket is finally realized by combining the weight of the marine lamp bracket with a construction process, so that the problem of contradiction between the design cost and the reliability of the marine lamp bracket is solved, and a key technical support is provided for high-quality development of the ship industry.

The invention provides a pattern-layout decoupling-based stylized handwritten mathematical formula generation method, which comprises the following steps of: by taking a handwritten formula sample of a reference style and a target print body formula as input, encoding category information of mathematical symbols in the print body formula and position information corresponding to the mathematical symbols, extracting category features and overall layout features of local mathematical symbols of the standard mathematical formula; extracting style features of a reference style handwritten formula by using a style feature coding module, performing feature fusion on the style features of a reference sample and overall layout features of a standard formula through adaptive global feature fusion, and estimating layout information of the handwritten formula by using a layout generator; in combination with mathematical symbol category information and style characteristics of a standard formula, generating a handwritten track of each symbol based on a Gaussian density mixture model; integrating the position and the handwriting track of each symbol to generate a target handwriting mathematical formula; according to the method and the device, the stylized complex layout handwritten formula is generated by decoupling the character image generation and the geometric layout generation of the handwritten formula, the generation difficulty of the handwritten formula is effectively reduced, and the accuracy and the authenticity of the handwritten formula generation are improved.

Embodiments of the present application disclose a text conversion method and device for a mathematical formula and an electronic device. A specific embodiment of the method comprises: obtaining a target mathematical formula to be converted; identifying formula information from the target mathematical formula, wherein the formula information comprises at least one of the following: an operator appearing in the target mathematical formula, a position and a number of occurrences of the operator in the target mathematical formula, a position and a number of occurrences of a letter and / or a number in the target mathematical formula; obtaining a preset conversion rule matched with the target mathematical formula based on the formula information, and determining a target conversion rule based on the obtained conversion rule; and converting the target mathematical formula into text according to the target conversion rule. The embodiment can correctly perform text regularization transcription on a mathematical formula.

1. Name of the product in this design: Mathematical Teaching Aid (Mathematical Formula Finder). 2. Purpose of this design: An electronic device for finding formulas in linear algebra. 3. The key design feature of this product is its shape. 4. The image or photograph that best illustrates the design's key points: a 3D model.

This invention discloses a high-precision handwritten mathematical formula recognition method, system, device, and storage medium. These are corresponding solutions. Addressing the problem that existing recognition methods over-rely on text-level evaluation metrics, leading to low visual fidelity and an inability to effectively handle structured ambiguities and subtle structural errors, this invention establishes a mapping from the symbolic domain to the visual domain. It measures the image-level matching score by calculating the difference between the predicted formula image and the true formula image, and uses this score as a reward signal for network training, directly updating the parameters of the policy network. This effectively overcomes the problem of multiple codes for a single image, significantly improving the model's accuracy and robustness in recognizing the structure of complex mathematical expressions.