9 results about "Mathematical theory" patented technology

This invention discloses a method for constructing QC-LDPC codes that minimizes the number of short loops, comprising the following steps: Step 1: Randomly generate the initial QC-LDPC code base matrix according to the construction requirements; Step 2: Count the number of short loops passing through each element in the base matrix; Step 3: Sort all elements in the base matrix according to the number of short loops; Step 4: Iterate through each element sequentially, calculate the number of short loops corresponding to all values ​​of the element, select the value with the fewest short loops as the new value of the element, if the element value changes, return to Step 2 for the next round of optimization, otherwise continue to traverse the next element; Step 5: Replace each element in the base matrix with a CPM (Current Minimum Quantity). This invention performs global optimization on all elements in the entire matrix, which can approach the global optimum solution, and does not rely on mathematical theories such as finite fields, has no restrictions on parameters, and has great flexibility.

The application discloses an aero-engine key part dangerous position temperature rapid evaluation method and device, electronic equipment and storage medium, the method comprises the steps that S1, the temperature value, pressure value and rotating speed value in the flow channel are calculated by using the proportional conversion method, the steady-state temperature of the key part dangerous position is calculated, the transition state temperature calculation reduction model is established, and the model parameters are obtained; S2, the material parameters of the aero-engine key part, the temperature value, pressure value and rotating speed value corresponding to the main flow channel at the life calculation point are substituted into the transition state temperature calculation reduction model to rapidly calculate the transient temperature of the aero-engine key part dangerous position under any state. The application directly calculates the rapid temperature of the key part dangerous position by substituting the mathematical theoretical model established by the flight parameters, avoids the consumption of hardware resources and solving time caused by large-scale simulation solving, improves the calculation speed to the order of millisecond, shortens the design cycle, and reduces the calculation cost.

The application is based on the unmanned ship formation encounter risk space-time analytic method of quantum field theory, including the following steps: constructing the initial quantum state of the ship, accurately characterizing the uncertainty distribution of the ship position through the Gaussian wave packet model; calculating the probability density of the ship at a certain state at a certain time; superposition calculation of the sum of the probabilities of all position pairs of two ships satisfying the geometric collision condition; based on the sum of the probabilities of all position pairs of two ships satisfying the geometric collision condition, the total value of the risk potential field of the encounter risk of two ships is calculated; the total value of the risk potential field of the encounter risk of two ships is compared with the risk threshold value, and whether the two ships exist the risk of collision is judged, the method of the application realizes the fundamental paradigm conversion from the classical trajectory description to the quantum field operator description by establishing the multi-level calculation framework under the quantum mechanics form system, and provides a new mathematical theoretical basis for the ship navigation risk analysis.

This invention discloses a relative acoustic impedance prediction method for composite microperforated plate structures based on a surrogate model, belonging to the field of vibration and noise control technology. This invention considers the structural parameters of variable cross-section series-parallel composite microperforated plate structures and uses Latin hypercube sampling to generate parameter samples. Relative acoustic impedance data for different structures are obtained through numerical simulation. Fourier series functions are constructed using the relative acoustic impedance data to solve for the fitting coefficients, thus achieving a fit to the relative acoustic impedance. A multi-input / output multilayer perceptron neural network is built to predict the fitting coefficients based on the structural parameters, forming a relative acoustic impedance prediction surrogate model with the fitting coefficients as an intermediate bridge. The relative acoustic impedance prediction method of this invention effectively solves the contradictory problems of high accuracy but long time consumption in numerical simulation of acoustic superstructures, and high requirements for mathematical theory and low accuracy in analytical solution derivation, thus balancing the accuracy and efficiency of acoustic superstructure design.

The invention discloses a method for predicting the paleo-water flow direction of a braided river based on a linear fractal theory. The method comprises the following steps: S1, collecting well drilling data of a known unit, and drawing a plane layout diagram of the paleo-water flow direction of the known unit braided river; s2, coarsening the known unit plaid river paleocurrent direction plane distribution diagram to obtain a known unit coarsening model; s3, coarsening the model of a known unit, and solving linear fractal parameters according to known paleocurrent nodes; s4, utilizing a linear calculation formula to predict the palaeowater flow direction of the unknown unit to distinguish the river, and drawing a distribution diagram; and S5, according to actual geology, perfecting the plane distribution map of the paleocurrent direction of the unknown unit, and completing prediction of the paleocurrent direction of the braided river. According to the method for predicting the paleo-water flow direction of the braided river based on the linear fractal theory, the paleo-water flow direction is predicted through the mathematical theory, the accuracy of predicting the paleo-water flow direction of the braided river in a non-exploration mature area is improved, and the problem that prediction cannot be conducted due to lack of data in the non-mature exploration area is solved.

The application discloses a CAD large model method and system based on AI and vector bundle, and belongs to the field of computer-aided design. The method comprises the following steps: S1, constructing a mathematical model of manifold space, and mapping three-dimensional information of an object to a linear space through a vector bundle; S2, collecting drawing data of multiple industries, and constructing a drawing data set of multiple industries; S3, pre-training the drawing data set of multiple industries through the mathematical model of manifold space, and extracting feature template tensors corresponding to drawings of each industry; S4, based on the feature template tensors, using a large model with an embedded M-MoE architecture to encode, decode and cyclically optimize and update parameters; and S5, mapping the manifold tensor output in the previous step to a three-dimensional space, generating CAD drawings and reports, and cyclically optimizing and outputting results through a loss function. The application constructs a CAD large model based on artificial intelligence and vector bundle mathematical theory, and realizes intelligent drawing generation, automatic auditing, language interactive editing and full life cycle management.

A method for constructing an integrated energy system optimal scheduling model considering virtual heat storage, relating to the technical field of power systems. The method comprises: establishing operational models of working equipment of an integrated energy system, establishing an integrated demand response model for integrated energy loads and an orderly charging model for electric vehicles, and establishing a heating network energy flow calculation model considering virtual heat storage; on the basis of a mathematical theory, processing a direct current power flow model of a power distribution network, and by using a second-order cone relaxation method, converting general power flow constraints into mixed integer quadratically constrained programming constraints; and according to power flow constraints of the power distribution network, a heating network and a gas network of the integrated energy system, by taking minimization of the total operating cost of an integrated energy operator as an objective function, constructing an integrated energy system optimal scheduling model considering virtual heat storage. The method achieves accurate description of operating characteristics of integrated energy systems, so as to implement coordinated optimal scheduling of multiple energy sources and improve the economy, environmental protection property and reliability of the systems, thus providing support for efficient operation of the integrated energy systems.

The invention discloses an aero-engine key part dangerous part temperature rapid evaluation method and device, electronic equipment and a storage medium, and the method comprises the steps: S1, carrying out the calculation of a temperature value, a pressure value and a rotating speed value in a flow channel and the steady-state temperature of a key part dangerous part through employing a proportional conversion method, establishing a temperature calculation order reduction model in a transition state and acquiring model parameters; and S2, substituting the material parameters of the aero-engine key component, and the temperature value, the pressure value and the rotating speed value corresponding to the main runner under the life calculation point into the temperature calculation reduced-order model in the transition state to quickly calculate the transient temperature of the dangerous part of the aero-engine key component in any state. According to the method, the temperature of the dangerous part of the key part is directly and quickly calculated by substituting the flight parameters into the established mathematical theoretical model, so that the consumption of hardware resources and solving time in large-scale simulation solving is avoided, the calculation speed is improved to millisecond magnitude, the design period is shortened, and the calculation cost is reduced.

A wave field control method in an elastic thin plate based on potential theory, comprising: based on wave propagation principle and partial differential equation mathematical theory in an elastic medium, describing the wave field in the elastic thin plate generated by a source term with compact support property, combining partial known data on the boundary of a given region and radiation conditions at infinity, establishing an external problem of wave field control; based on the basic solution and potential theory, formulating an integral representation of the wave field satisfying the external problem, obtaining the corresponding relationship between the boundary data and the wave field; according to the corresponding relationship, converting the wave field control problem in the elastic thin plate into a single-dipole distribution problem on the boundary of the given region, the goal of the single-dipole distribution problem is to generate a control field with zero inside the given region and non-zero outside, using the method combining finite difference and numerical integration, discretizing the control field of the wave field, establishing the corresponding relationship between the approximate control field of the wave field and the single-dipole, based on the corresponding relationship between the approximate control field and the single-dipole, using the method combining finite difference and moment method to establish a boundary element model, and solving the boundary element model to obtain the calculated values of the single-dipole position and amplitude, then bringing them into the discretization expression of the control field of the wave field to obtain the calculated value of the approximate control field of the wave field, finally realizing the control of the wave field in the elastic thin plate.