12 results about "Mathematical Computing" patented technology

A balance, having an indicator with clearly marked inequalities, provides feedback to a user where the user determines whether they have created an equality or inequality and whether an adjustment is necessary. Users connect mathematical statements with a correct equality or inequality symbol. The indicator provides users with a physical representation of basic math operations, including addition, subtraction, multiplication, and division, as well as fractions, negative numbers, and algebraic equations. Physical adjustments to the balance system correspond to conventional mathematic / algebraic written representation. Constant cubes include several different sets of unit weight. Other cubes or objects are labeled with colored symbols and are provided in a variety of weights and quantities. Opposite chips are labeled with negative signs; line chips are labeled with “x” and “y.” Combinations of the constant cubes, cubes or objects labeled with colored symbols, opposite chips, and line chips are arranged on removable pans on the balance to teach mathematical functions.

The application provides a debiasing calibration method based on knowledge distillation and counterfactual reasoning. The method first identifies sentiment words and high-frequency words as core confounding variables through a structural causal modeling system. Second, a double-path counterfactual reasoning mechanism is designed to extract and quantify the prediction bias introduced by the core confounding variables in the teacher model. Finally, based on the latent outcome framework, the prediction bias is eliminated from the original output of the teacher model through mathematical operations to generate unbiased calibrated soft labels to guide the training of the student model. This method reduces the expected calibration error of the model and significantly improves the robustness, fairness and cross-domain generalization ability of the stance detection system.

The invention discloses a method and device for relieving catastrophic forgetting of a language model, equipment and a storage medium, and relates to the technical field of machine learning. According to the method, linear interpolation is carried out between the pre-training model parameter set and the fine-tuning model parameter set, so that a linear interpolation point of the model can still keep a relatively low loss value when the model learns new task knowledge; then the pre-training model parameter set and the fine-tuning model parameter set are added to form a fusion model parameter set, and the linear interpolation operation only performs one-time simple arithmetical operation after fine-tuning is completed without introducing any additional trainable parameters or changing the model structure, so that when the model adapts to a new task, the model can be quickly and accurately trained. Original general knowledge and performance on old tasks can be reserved to the maximum extent, and meanwhile complexity and expenditure of a model reasoning stage are not increased.

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.

AI based mathematical operation processing device

The invention belongs to the field of educational toys for children, is specially designed for children and low-grade students, and aims to teach addition and subtraction within 100 in an interesting game mode. In order to solve the problems of difficult understanding, low interest and slow operation when children beginner to learn addition and subtraction, the product adopts a colorful turntable design, the turntable is divided into an inner layer and an outer layer, and the inner layer is a 1-49 digital disc and is used for selecting an addend or a subtrahend; and the outer-layer number combination of 50-99 is used for setting an operation type and a first operand. Through rotation, addition and subtraction equations within 100 are generated, and when children operate manually, numbers pointed by arrows are answers. And if the arrow points to 50, all question types of 50 are shown on the turntable when two numbers are added and subtracted. And children are effectively helped to consolidate and deepen mathematical operation skills. And the learning effect of teaching through lively activities is realized. As a tool for mathematics enlightenment and family parent-child interaction, the rotary table can effectively improve interest and understanding of children on mathematics and cultivate logical thinking and rapid response ability.

The embodiment of the invention discloses a method for constructing a topology description function of a three-dimensional spline component. The method comprises the following steps: constructing a first function and a second function; the first function and the second function take the parameter coordinates as variables, and are respectively used for determining the roundness degree of cross section edges corresponding to the parameter coordinates and the number of polygon-like edges; the first function and the second function are continuous differentiable mathematical operation functions; constructing a third function according to the first function and the second function; and constructing a topology description function of the three-dimensional spline component according to the third function. Thus, the first function and the second function are both continuous differentiable functions with parameter coordinates as variables, a continuous field along a path (parameter coordinates) can be obtained, geometric edges and corners and additional design variables caused by segment jump can be thoroughly eliminated, and the third function can enable the cross section size to continuously change along with the high order of the parameter coordinates by using a single analytic expression. The complexity of a topology description function expression can be reduced.

The embodiment of the invention discloses a method for constructing a topology description function, which comprises a first function and a second function, wherein the first function takes the parameter coordinate as a variable and is used for determining a point which corresponds to the parameter coordinate and is used for determining a spline assembly center line of the variable thickness spline assembly in a preset design domain and a first coordinate in a world coordinate system, and the second function takes the parameter coordinate as a variable and is used for determining the thickness of the variable thickness spline assembly at the parameter coordinate; the first function and the second function are continuous differentiable mathematical operation functions; constructing a third function according to the first function and the second function; and constructing a topology description function according to the third function. A global continuous differentiable topology description function is constructed through the combination of a first function, a second function and a third function which are continuously differentiable, and the topology description function can promote the application of the topology description function in gradient-based topology optimization and can improve the effectiveness of optimization.

This invention discloses a method for time-series prediction of laser shock signals, comprising the following steps: Step S0, constructing and training a time-series prediction model; Step S1, performing time-series decomposition and baseline prediction; Step S2, completing multi-dimensional feature extraction and micro / nano-level numerical protection; Step S3, completing feature-aware fusion gating generation; Step S4, performing selective execution and dynamic computational routing; Step S5, completing prediction fusion and inverse reconstruction, outputting the final time-series prediction result of the laser shock signal. The corresponding computer-readable storage medium and electronic device are also disclosed. This invention accurately quantifies the predictability confidence of extreme physical signals through multi-dimensional orthogonal features, dynamically determines the routing execution strategy of the compensation prediction branch, and strongly embeds an anti-collapse numerical protection mechanism and a pseudo-inverse solution strategy in the underlying mathematical operations. While safeguarding the stability of the baseline prediction, it achieves high-precision adaptive prediction of laser shock signals.

The invention belongs to the field of educational toys for children, is specially designed for children and low-grade students, and aims to teach addition and subtraction within 20 in an interesting game mode. In order to solve the problems of difficult understanding, low interest and slow operation when children beginner to learn addition and subtraction, the product adopts a colorful turntable design, the turntable is divided into an inner layer and an outer layer, and the inner layer is a 1-19 digital disc and is used for selecting an addend or a subtrahend; and the outer layer is a combination of numbers 1-20 and is used for setting an operation type and a first operand. Through rotation, addition and subtraction equations within 20 are generated, and the number pointed by the arrow is an answer when the child operates manually. And if the arrow points to 10, all question types of 10 appear on the turntable when two numbers are added and subtracted. And children are effectively helped to consolidate and deepen mathematical operation skills. And the learning effect of teaching through lively activities is realized. As a tool for mathematics enlightenment and family parent-child interaction, the rotary table can effectively improve interest and understanding of children on mathematics and cultivate logical thinking and rapid response ability.

The embodiment of the invention discloses a model determination method based on feature crossing and a related device. For to-be-processed data with sparse feature vector distribution, a feature crossover process is divided into multiple stages in advance, different arithmetical operations are used in different stages, for example, a crossover function is used in the first stage, a pooling function is used in the second stage and the like, so that multiple feature crossover modes are obtained by combining the multiple arithmetical operations in the multiple stages; and obtaining a plurality of to-be-determined models. In a process of constructing a plurality of to-be-determined models, a cross function of which the complexity is greater than a complexity threshold and a pooling function of which the dimensionality reduction degree is smaller than a dimensionality reduction threshold are selected, so that the number of the to-be-determined models is reduced, and the model construction time is shortened. According to the method, the target data is processed based on the multiple to-be-determined models, the to-be-determined models with the processing performance meeting the preset conditions are determined as the target models based on the multiple processing results obtained through processing of the multiple to-be-determined models, and therefore the to-be-processed data is processed based on the target models with the good processing performance.