38 results about "Mathematical relation" patented technology

Systems and methods for machine-learned generation of data insight summaries are provided. A computing system can obtain numerical time series data comprising a plurality of numerical values associated with a plurality of times. The computing system can identify, based on the numerical time series data, one or more first mathematical relationships in the numerical time series data. The computing system can generate, based at least in part on the mathematical relationships, a first input context comprising first natural language data indicative of the mathematical relationships. The computing system can provide the first input context to a first machine-learned sequence processing model. The first machine-learned sequence processing model can generate, based at least in part on the first input context, one or more outputs describing the one or more first mathematical relationships. The computing system can output the one or more outputs.

The invention discloses a novel structure construction method using a gradient triple-period minimal surface lattice. The novel structure construction method comprises the following steps: defining a mathematical relationship of an entity part of a TPMS lattice according to a selected scene; the standard TPMS lattice in the original cube is deformed and matched into the pyramid space, a transition structure is formed, and a final TPMS distortion structure is output; connecting the upper-layer small unit lattices with the lower-layer large unit lattices by the TPMS twisted structure to generate gradient lattices without geometric defects; the gradient between different unit numbers is controlled by controlling the size of the top plane of the pyramid; the size of the transition area is adjusted, the transformation completion distance of the substructure is changed, and then the elastic modulus is adjusted and controlled; the number of layers of the base structure in the transition area is increased, and the buffering distance of structure transformation is prolonged. The problems that in the prior art, a gradient lattice transition area has geometric defects, the adjustable range of elastic modulus is small, and stress is concentrated are solved, and the stability and durability of the structure are improved.

The present invention belongs to the technical field of autonomous driving. Disclosed are a method and apparatus for evaluating the compliance of autonomous driving. A specific embodiment of the method comprises: acquiring current traveling data generated by an autonomous driving target vehicle during traveling; acquiring parsing processing corresponding to a preset compliance engine system configuration file; and on the basis of a parsing result, calling a mathematical function library to perform compliance evaluation on the current traveling data, so as to generate a compliance evaluation result. In the present embodiment, a legal language can be converted into logical descriptions and mathematical equivalence relations; and software codes of an embedded language are generated on the basis of the logic and mathematical relations, current traveling data of a target vehicle is then evaluated on the basis of the software codes, and a compliance evaluation result is automatically generated. Thus, the compliance of autonomous driving can be automatically evaluated on the basis of the current traveling data of the target vehicle, and the solution meets the requirements of autonomous driving of the target vehicle, and is also applicable to different scenarios, thereby improving the application universality of the solution.

The invention relates to a scene modeling-based primary school mathematics application question intelligent solving guiding method and system. The method comprises the steps of obtaining a question description text of a question; the question description text is used for representing the content of the question; based on the question description text, analyzing condition parameters of the questions to obtain a question description feature map; graph nodes in the question description feature graph are subject texts and object texts of the questions, and connecting edges among the graph nodes are constructed based on relation texts of the questions; determining a scene type of the question based on a preset scene template library and the question description feature map, and obtaining a comprehensive representation vector of the question based on the scene type; the comprehensive representation vector comprises a scene type, a basic mathematical relationship template and a problem description feature map; and based on the comprehensive representation vector, predicting the solving difficulty of the question, and based on the solving difficulty, generating a question solving guide scheme of the question. By adopting the method, the problem solving guide efficiency can be improved.

The invention discloses a dynamic SQL (Structured Query Language) optimization method based on consanguinity dependency, and relates to the technical field of database query optimization. The method comprises the following steps: analyzing all indexes in a database, and dividing the indexes into atomic indexes and composite indexes; a blood relationship dependency tree is constructed according to the mathematical relationship between the indexes, each node represents one index, and each directed edge represents the dependency relationship; receiving a to-be-queried index set, and recursively searching all dependent target atomic indexes based on the graph structure; grouping the target atomic indexes according to data sources, and generating corresponding SQL query statements; and executing the SQL statement, and calculating a final query index result after obtaining an atomic index value. According to the invention, through unified management of the index dependence structure, repeated calculation across indexes is eliminated, the query performance is improved, the resource consumption is reduced, and the index development and maintenance efficiency is improved.

The invention provides a power distribution network disturbance identification method and system based on multiple time scales, and the method comprises the following steps: S1, achieving the standardized processing and noise characteristic modeling of measurement data through building a mathematical relation among node voltage, a phase angle and a measurement quantity, and reflecting a system topological structure and parameter sensitivity through a Jacobian matrix; s2, firstly, based on the step S1, capturing dynamic feature changes in different time ranges; extracting features through feature engineering, optimizing a feature set by adopting a recursive feature elimination method, and improving the accuracy and stability of the model; s3, after the classification framework preliminarily confirms that a traditional event belongs to a large class, training and verifying feature data extracted in the previous step by adopting an XGBoost algorithm, realizing high-precision identification of multiple classes of disturbance events through hyper-parameter optimization and cross validation, and outputting an event class and a confidence result; according to the technical scheme, intelligent analysis of the operation state of the power distribution network and accurate identification of abnormal events can be realized.

The present application relates to a kind of improved radiation transmission model mangrove chlorophyll estimation method, comprising: the measured data of the tree height, crown width and leaf area index of mangrove are collected;Mathematical relationship between leaf area index and tree height, crown width is constructed;Simulated spectral data is generated as training set using improved radiation transmission model;The sensitive feature screening of mangrove functional traits is carried out;Random forest inversion model based on physical constraint is constructed;The present application estimates the chlorophyll content of mangrove using the random forest inversion model based on physical constraint.The beneficial effects of the present application are: the present application can effectively improve the precision of chlorophyll inversion, provide scientific basis for the fine inversion of mangrove chlorophyll, provide data support and decision-making reference for the protection and scientific management of mangrove.

This invention presents a method for establishing large deformation viscoelastic constitutive relations based on Prony technology. It addresses the problems of existing viscoelastic constitutive models lacking universality, and the complexity and programming difficulties associated with their mathematical relationships. The invention includes: decomposing the stress tensor into the sum of the deviatoric stress tensor and the mean stress; decomposing the strain tensor into the sum of the deviatoric strain tensor and the mean strain; and providing a convolutional expression for the deviatoric stress tensor and the mean stress. The increment of the deviatoric stress tensor is expressed as a function of the deviatoric strain increment, and the increment of the mean stress is expressed as a function of the mean strain increment. The tensor form of the incremental constitutive relation is written in matrix form. This method has been programmed, and the numerical results obtained from the program agree well with the experimental results in specimen-level experiments on solid rocket motor propellant grains.

The invention relates to a dual-mode control method and system suitable for a network construction type energy storage converter, and the method comprises the steps: building a power and virtual impedance dynamic mapping model, and achieving the dynamic mapping between the power and virtual impedance through building a mathematical relation model between the power and virtual impedance; a state prediction and compensation mechanism is introduced, a feedforward compensation link based on a system state prediction algorithm is designed, transient behaviors possibly occurring in the switching process are subjected to prospective suppression, a self-adaptive virtual impedance adjustment strategy is designed, and dual-mode seamless switching control is achieved. According to the invention, efficient and stable switching of the energy storage converter in the island and grid-connected operation states is ensured. Key technical support is provided for a smart power grid, and the flexibility and reliability of a power system are remarkably improved.

The invention discloses an arbitrary thread form hexahedral mesh modeling method based on parameterization control, and relates to the technical field of bolt modeling. Decomposing the tooth profile of the complete pitch cycle corresponding to the target tooth angle into a plurality of feature line segments, converting the curve profile corresponding to each feature line segment into a solvable geometrical relationship, and determining a mathematical relationship of any point coordinate on the profile corresponding to each feature line segment; integrating the mathematical relationships corresponding to the feature lines to obtain an external thread curve formula of the target thread angle; parameterizing an external thread curve formula of the target thread angle through an equation driving curve function in SOLIDWORKS software to obtain an external thread profile curve of the target thread angle bolt; and based on the external thread profile curve of the target thread angle bolt, drawing a two-dimensional plane grid of the bolt, and further obtaining a three-dimensional thread hexahedral grid of the target thread angle bolt. By means of the method, modeling of any thread form can be achieved, and the application range of finite element analysis is greatly expanded.

The invention relates to the technical field of wind tunnel tests, and discloses a flutter wind tunnel test pulse response generation method and system oriented to turbulence excitation, and the method comprises the steps: model construction: constructing a mixed Transform generative model through combining a convolution sampling method and a depth feature extraction method, establishing a mathematical relationship between a turbulent flow response signal and a pulse response signal in the structural dynamics system through a hybrid Transform generative model; model training: preprocessing the data by adopting different normalization modes according to a model training effect; optimizing the model by adopting a loss function mixed by mean square error of a time domain and a frequency domain through a plurality of training optimization methods; and signal generation: taking the measured turbulence response signal as input, and generating a corresponding pulse response signal. According to the invention, turbulence response signals dynamically collected in a wind tunnel can be directly converted into pulse response signals.

The invention relates to the technical field of scientific simulation, in particular to a finite element model parameter optimization method and system based on an intelligent algorithm, equipment and a medium, a traditional manual iterative optimization process is converted into an automatic process through parametric modeling and automatic generation of a Python macro command, the manual operation time is remarkably shortened, and the efficiency is improved. And meanwhile, seamless connection from parameterized modeling of the finite element model to optimization result output is realized, so that the dependence on a user algorithm and programming capability is reduced, and full-process automation is realized. Secondly, multi-objective optimization and nonlinear constraint are supported, common non-convex and high-dimensional optimization problems in engineering can be flexibly processed, and the limitation of a traditional gradient algorithm on the continuity of an objective function is broken through; the response surface agent model replaces high-time-consuming finite element calculation through chaos polynomial expansion, a black box problem is converted into an explicit mathematical relationship, the dependence of an optimization algorithm on actual simulation is reduced, and the iteration efficiency is improved.

The application provides a space environment data and navigation time-frequency field data correlation analysis method, adopts a graph machine learning method, extracts space environment index abnormal moment data and navigation time-frequency field abnormal moment data respectively, and corresponds according to corresponding time. The application aims to predict navigation field data changes through space environment data, but because different data structures are not the same, simple mathematical relationships and regression learning cannot be used. Different structures of data are regarded as nodes, the nodes continue to contain sub-nodes, the relationship between nodes is learned, the above difficulties can be overcome and effective correlation rules and relationships can still be obtained. The model quantity of the application is small, the model applicability is wide, and the correlation between numbers is processed by a natural language processing method.

The invention provides a discrete memristor design method and circuit implementation based on a tangent function, and belongs to the field of circuit design, and the method comprises the steps: building a discretization iteration mathematical model of a high-frequency discrete grounding memristor, and the model is used for describing the mathematical relationship among an input voltage, a memristor current and a state variable under the AC voltage input; based on the discretization iteration mathematical model, a modular circuit frame used for achieving the model is constructed, and the modular circuit frame comprises a discrete sampling and iteration module, a memory-conductance function synthesis module and a current generation module; according to a modular circuit framework, a tangent function module and an absolute value function module are determined to construct a memristor function synthesis module, a discrete sampling and iteration module and a current generation module are matched, and circuit design of the discrete memristor based on the tangent function is completed through connection of corresponding circuit elements. The function of the high-frequency discrete grounding memristor is effectively realized, and the adaptability and the stability of the memristor in a complex circuit environment are improved.

The invention belongs to the technical field of aircraft performance design, and particularly relates to a load range model research method for a transport aircraft, which comprises the following steps of: firstly, constructing a weight parameter model for aircraft load range evaluation by combining a typical mission profile according to the maximum takeoff weight of a transport aircraft and aircraft weight statistical data; then developing a flight distance performance model for load range evaluation based on the specific range parameter of each task section of the transport plane; and finally, inputting data of different load conditions of the transport aircraft by taking the load voyage calculation model as a carrier, and calculating a corresponding voyage result and an operation efficiency result. In this way, construction of a transport aircraft load range model and evaluation of a load range result are achieved. Through an overall weight model, a mission profile model and a flight performance model of the transport aircraft, a set of mathematical relationship between key design parameters and core capability indexes of the transport aircraft is established, and the mathematical relationship is used for evaluating voyage and operation efficiency results under different load conditions. The method is visual and clear, and the calculation process is convenient.

An edge device feature engineering application is provided. An industrial gateway device supports an interactive feature engineering tool that guides a user through an intuitive process to configure data analysis for a key performance indicator (KPI) of interest. A feature engineering interface presents an interactive model view that displays available data points organized hierarchically according to a plant, machine, machine attribute, or other element. A user can select data points from the model view that have an impact on the KPI of interest. The interface also allows the user to define an executable script that defines a mathematical relationship between the selected data points and the KPI. The configuration produces an output model that defines a reduced set of data points to collect and analyze, along with the executable script, to evaluate the relationship of the KPI's status to the reduced data point values.

The invention discloses a gravity dam deformation monitoring method based on intelligent analysis. In the service process of a dam, deformation monitoring data are usually complex, non-stable and non-linear time sequences, and a simple and clear mathematical relationship is often difficult to establish. According to the method, hyper-parameters are optimized by using a northern eagle optimization algorithm, wherein the hyper-parameters comprise an initial learning rate, a BiLSTM neuron number, a key value number of a self-attention mechanism and a regularization parameter; the optimal hyper-parameter combination is applied to a CNN-BiLSTM-Attention model, and a concrete dam deformation prediction model is formed. The method has excellent prediction precision and long-term prediction performance, and a new method is provided for high-precision prediction of dam deformation.

The present application belongs to the field of geophysical exploration, and particularly relates to a method for calculating acoustic curve by using elastic parameters of drilling core to constrain, which comprises the following steps: step 1, obtaining logging resistivity curve of drilling in a study area; step 2, obtaining core samples of different lithology at each depth of the drilling; step 3, measuring elastic parameters of the core samples, including acoustic velocity and resistivity; step 4, establishing mathematical relationship of resistivity and acoustic velocity parameters of different strata and different lithology; step 5, establishing geological model of the drilling according to logging results of the drilling; and step 6, calculating acoustic velocity curve of the drilling based on the geological model of the drilling and the fitted mathematical relationship. The method can obtain accurate stratum acoustic curve by calculating pseudo-acoustic curve through the constraint of elastic parameters of drilling core.

The invention discloses a magnetic field source positioning method and system based on a power transmission line magnetic gradient tensor, and the method comprises the steps: constructing a magnetic gradient tensor model at any point M of a space based on the characteristic that the change rate of a space magnetic field of a long and straight current-carrying wire in the axial direction is zero, and solving a characteristic value, a characteristic vector and a spectrum norm of the magnetic gradient tensor model. And establishing a mathematical relationship between the distance from the power transmission line to the point M and a magnetic gradient tensor spectrum norm, and determining a lead direction and a geometrical relationship between a direction vector from the lead to the point M and two non-zero feature vectors of the magnetic gradient tensor, thereby realizing magnetic field source positioning. The method is efficient in calculation and high in positioning precision, can effectively suppress geomagnetic field interference, is suitable for wire positioning and tracking in unmanned aerial vehicle power inspection, and has good engineering application value.

The invention discloses a platinum cooling flat tube structure and a manufacturing method thereof, and aims to solve the technical problem of insufficient high-temperature collapse resistance in the prior art. The cooling flat pipe structure is of a continuous curved surface structure with an arch-shaped upper supporting part and an arch-shaped lower supporting part, and an optimized prestress distribution and bending moment self-balancing system is formed by a pipe body by controlling the mathematical relation between the arch height h and the width L and the ratio of the curvature radius R of the arch face of the upper supporting part to the curvature radius r of the arch face of the lower supporting part. According to the structure, gravity loads at high temperature can be effectively converted into pressure stress along the arch face, the creep resistance and the structural stability are remarkably improved, and therefore the technical problem that a traditional plane structure is prone to collapse and deformation under the working condition of the high temperature of 1200 DEG C is solved.

According to the data processing method provided by the embodiment of the invention, the round constant in the SM3 compression function is masked, and the condition that an attacker speculates an intermediate value related to a key through the known round constant is avoided, so that the side channel attack resistance of the data processing method is improved. Specifically, in the data processing method provided by the embodiment, a round constant is replaced with a mask constant, and the mask constant participates in the operation in a randomized form, so that an attacker cannot predict an intermediate result containing the round constant, and the basis for establishing a differential model is destroyed. Besides, in order to ensure correct operation of the mask constants in the SM3 compression function, a first mask of the mask round constant is compatible with a second mask of the mask state variable, specifically, the first mask and the second mask are the same random number or have a certain mathematical relationship, and are located in the same mask domain in the same operation step. It is ensured that the two can be directly and safely operated in the mask domain, and the plaintext does not need to be exposed.

The invention discloses a characterization method, system, equipment and medium for oil content enrichment degree and plane distribution law, and the method comprises the steps: obtaining logging sensitive parameters, calculating the weight coefficients of the related logging sensitive parameters, and constructing a mathematical relation between the oil content enrichment degree and the logging sensitive parameters; finally, the oil enrichment degree is calculated based on the logging sensitive parameters and the weight coefficients of the related logging sensitive parameters, an oil enrichment area is delineated on an oil enrichment degree contour map, and the oil and gas distribution rule can be described relatively clearly and accurately through calculation of the oil enrichment degree of a research area. Suggestions for edge expansion development and new potential target areas of the original building and producing areas can be provided respectively, and proposal suggestions are submitted according to the suggestions; according to the method, the oil-water distribution rule and the enrichment degree of the low-porosity-permeability reservoir can be rapidly analyzed, and a direction is pointed out for finding remaining oil of the reservoir in the next step and comprehensively treating blocks.

The invention relates to the technical field of geotechnical engineering, and discloses a porosity and mechanical property relation analysis method based on CT scanning, which comprises the following steps: S1, carrying out X-ray CT scanning on a rock sample to obtain a CT scanning image in the rock; s2, carrying out denoising and threshold segmentation processing on the CT scanning image to obtain a binary grayscale image containing a rock pore structure; s3, reconstructing a three-dimensional visual model of the rock pore structure, and converting the three-dimensional visual model into a finite element model; s4, performing a numerical simulation test based on the finite element model to obtain mechanical property data of the rock; and S5, based on the result of the numerical simulation test, establishing a mathematical model between the rock porosity and the compressive strength in combination with the power law model and the index model, and establishing a mathematical model between the rock porosity and the Young modulus based on the index model. According to the method, the reliable and accurate mathematical relationship model between the porosity and the mechanical property can be constructed, and the evaluation of the mechanical property of the rock can be assisted.

The application discloses an impedance control method and device based on an axis angle representation, equipment and a storage medium. A Jacobian matrix of a rotation angle and a three-dimensional direction vector with respect to a joint angle and a matrix irrelevant to a joint angular velocity in a second-order derivative of a product of the rotation angle and the three-dimensional direction vector with respect to time are calculated according to the rotation angle and the three-dimensional direction vector. A mathematical relationship of a robot joint instruction torque is constructed according to a robot Jacobian matrix, the Jacobian matrix of the rotation angle and the three-dimensional direction vector with respect to the joint angle, the matrix irrelevant to the joint angular velocity in the second-order derivative of the product of the rotation angle and the three-dimensional direction vector with respect to time, the rotation angle and the three-dimensional direction vector. The robot joint instruction torque is obtained by solving the mathematical relationship of the robot joint instruction torque according to a preset constraint function. The application aims to eliminate nonlinear factors of a dynamic relationship in impedance control.

The application discloses a diffraction order decoupling method for realizing multi-dimensional encryption super optical storage technology. By analyzing the mathematical relationship between different diffraction order phases, the detour phase structure is optimized to realize independent coding of multiple orders while meeting the phase requirements of these orders. The multi-dimensional encryption super optical storage technology proposed in the application successfully realizes the simultaneous modulation of four optical dimensions: wavelength, direction, polarization and diffraction order by integrating detour phase and geometric phase and dispersion engineering. The technology realizes up to sixteen channels of multi-dimensional encryption super hologram, and the encryption method can more effectively prevent brute force cracking, thereby significantly improving the information security of optical storage. The proposed multi-dimensional encryption optical storage technology based on on-chip super surface can be used for dynamic display, and has wide application prospects in the fields of optical encryption storage, anti-counterfeiting and multi-functional photonic integrated circuits.

The invention discloses an optimization method, system, equipment and medium for a multi-task coupling dynamic scheduling model, and belongs to the technical field of task scheduling, and the optimization method comprises the following steps: executing full-process automatic scheduling based on a GTN architecture, and establishing the multi-task coupling dynamic scheduling model based on an association relationship among task parameters; by defining an input parameter change influence degree, a state parameter change influence degree, an input and output parameter correlation degree and an output parameter change influence degree, calculating an inter-task coupling degree, and deducing a mathematical relationship between the coupling degree and task parameter uncertainty; performing multi-objective optimization analysis on the real-time situation data and the production elements through a large model by adopting a generative task network; and dynamically decomposing the task and allocating the task to an execution unit, constructing a task cost function and a resource constraint function, and performing autonomous decision and closed-loop optimization of task scheduling. The overall performance and reliability of the multi-task scheduling system are remarkably improved, and powerful technical support is provided for production management and resource optimization of enterprises.

The application discloses a kind of based on timing geodesic line's pan-TOD multidimensional lattice coordinate real-time dynamic management method and system, belong to dynamic system control and resource scheduling cross technical field.The present application is strictly dependent on exclusive bottom mathematical relationship, memory operator adopts golden section attenuation factor to balance convergence speed and steady-state error, lattice reorganization operator realizes multidimensional lattice coordinate real-time dynamic management, opens the fusion channel of discrete resource and continuous fluid, as core solving timing geodesic line, generates global optimum, no shock, no tearing evolution trajectory, to solve the defects such as physical shock, local optimum, insufficient use of historical information, mapping fault, algorithm conflict of prior art.The present application constructs core operator by exclusive bottom mathematical relationship, adapts 5 kinds of typical application scenarios, with novelty, creativity and practicality, suitable for terahertz communication, intelligent power distribution network, fluid transport, mechanical arm cooperation, computing power network and other kinds of high-dimensional dynamic system.

The invention discloses a method for predicting global mechanical properties of an aluminum alloy extruded part, which specifically comprises the following steps: step 1, carrying out extrusion forming and heat treatment on an aluminum alloy to be tested, and carrying out microstructure characterization and mechanical property test on an extruded aluminum alloy sample; 2, the microstructure characterization result obtained in the step 1 is quantified, quantitative data and mechanical property data are used for modeling, and a mathematical relation model between the microstructure and the mechanical property is obtained; and step 3, performing secondary development on a Deform subprogram by applying the relation model obtained in the step 2, predicting the mechanical properties of the aluminum alloy sample subjected to extrusion forming and heat treatment through Deform extrusion forming numerical simulation, and finally outputting global mechanical property data of the aluminum alloy extrusion part.

The invention belongs to the field of intelligent manufacturing of vehicle parts, and particularly relates to an intelligent control method, system, equipment and medium for wheel manufacturing defects, according to a wheel casting mold for actual production, mold and wheel geometry 3d is established, and experimental design is carried out aiming at process control parameters in the wheel casting process. And processing the database to obtain a mathematical relationship between process parameters and casting defects, carrying out a wheel casting process according to an optimal process parameter scheme, detecting internal defects of the wheel, and judging that the defect size of each part is compliant according to wheel casting defect data. According to the method, customized casting defect intelligent control of each wheel type is achieved, on one hand, the problem that an existing wheel casting intelligent control method is insufficient in generalization ability is solved, and on the other hand, the time cost, the labor cost and the material cost in the field debugging process are saved.

The application provides a design method of a involute type thread on a shaft shoulder and a friction stir welding tool, and comprises the following steps: performing sensitivity analysis on a plurality of parameters of the involute thread, screening out key parameters affecting welding quality, and preliminarily determining a feasible range of the key parameters; according to the determined key parameters and the feasible range, preliminarily processing the involute thread on a to-be-processed stirring tool, and welding a test plate through the processed stirring tool to obtain processing parameters of the stirring tool; based on a Box-Behnken response surface method, taking the screened key parameters as independent variables and taking the processing parameters of the stirring tool as response variables, fitting a second-order polynomial model through a least square method, establishing a mathematical relationship between the involute thread parameters and the response variables, and calculating to obtain optimal involute thread parameters; and performing a process test to determine a stability interval of welding parameters. The application realizes fine design of the involute thread.