10 results about "Multivariable polynomials" patented technology

The invention relates to the field of reactor data processing, and particularly discloses a numerical calculation method for solving a neutron transport equation. The method comprises the following steps: 1, describing the geometry of a reactor core of a nuclear reactor by utilizing a construction entity geometric modeling method, and subdividing a curved surface grid along a curved surface structure; 2, directly expanding a neutron flux distribution function in each curved surface grid by using a multivariate polynomial; 3, deriving a neutron transport equation and an integral residual equation of a boundary condition under each curved surface grid; 4, solving geometric integral parameters of each curved surface grid; step 5, establishing an adaptive linear system; and step 6, iteratively calculating and solving a maximum characteristic value and an unknown expansion coefficient.

To provide a computer implementation method based on an accurate homomorphic encryption (EHE) framework for encryption and calculation.SOLUTION: The EHE framework provides a multivariable polynomial of k variables (S10), introduces a basic gate of k quantum bits (20), and applies the basic gate to a quantum state (S30). Then, the basic gate is applied to the variables to generate a multivariable polynomial formulated as a conversion rule over a binary field Z2 (S40). Then, first encryption mapping Ren which is an order product of randomly selected basic gates is defined (S50). For message encryption by applying a first encryption operator Ren, a collection of w multivariable polynomial which serves as a public encryption key to encode a plain text of k quantum bits into a cipher of w quantum bits (w≥k) is generated (S60).SELECTED DRAWING: Figure 1

The invention provides a long-span bridge soft flutter response prediction method and device, and relates to the technical field of bridge safety, and the method comprises the steps: obtaining the parameter information of a long-span bridge; constructing a physical model and an initial numerical model based on the parameter information of the long-span bridge; performing a soft flutter wind tunnel test based on the physical model to obtain actually measured vibration responses at different test wind speeds; parameter optimization is carried out on a multivariate polynomial regression model of preset optimization parameters, an optimal numerical model suitable for different test wind speeds is obtained, and a target function of parameter optimization is constructed based on the simulated vibration response and the actually measured vibration response; performing interpolation on the optimal numerical model to obtain a digital twinborn body of the long-span bridge; and carrying out soft flutter response prediction on the large-span bridge according to the digital twin. According to the method, the problems of limitation and uncertainty when the soft flutter response of the long-span bridge is predicted in the prior art are solved.

The present application belongs to the technical field of remote sensing geographic information processing and hydrological monitoring, and specifically relates to a water volume calculation method based on spaceborne laser radar data and geometric space constraints, which comprises the following steps: obtaining optical images to extract a lake boundary; obtaining ICESat-2 photon data to estimate measured water depth; calculating a lake geometric centroid, constructing a geometric scale factor, and combining a measured maximum water depth to calculate a physical upper limit of the maximum depth of the whole lake; establishing a multivariate polynomial fitting model of normalized distance and water depth, taking the physical upper limit as an inequality constraint of the solution space to perform parameter optimization; generating a whole-lake distance field based on Euclidean distance transformation, extending the fitting model to a three-dimensional space to construct an underwater topographic model, and then integrating to estimate the water volume of the lake. The present application effectively solves the overfitting problem of terrain inversion under sparse data through geometric scale constraints, and is suitable for lake storage monitoring in data-free areas.

This invention discloses a method and system for modeling the dynamics of a five-axis machine tool based on monoid coding. The method includes: S1, deriving the modular kinematics of a cascaded five-axis machine tool based on local exponential products; S2, completing the linearization modeling of the modular kinematics with respect to the kinematic parameters; S3, obtaining the linear representations of the inertia, centrifugal force, Coriolis force, and gravity terms of the dynamic model with respect to a multivariate polynomial; S4, describing the linearly represented dynamic model as a bilinear representation with respect to the inertia parameters and the multivariate polynomial; S5, eliminating redundant multivariate polynomials using matrix row correlation and eliminating redundant parameters using matrix decomposition to obtain the minimum set of inertia parameters; S6, inversely encoding the multivariate polynomial encoding numerical matrix and the parameter matrix after redundancy elimination into a symbolic representation with Homer form to achieve efficient model computation. This invention reduces the algorithm development and complexity of five-axis machine tools and is suitable for the rapid deployment of general-purpose five-axis machine tool algorithms.

The present application relates to the technical field of high-frequency transformer, and discloses a high-frequency transformer iron loss determination method and equipment based on basis vectors. According to the present application, a plurality of basis vector components can be generated according to a plurality of iron loss related parameters of the high-frequency transformer, a multivariate polynomial can be constructed according to the plurality of basis vector components, and the multivariate polynomial can be fitted to determine optimal coefficients corresponding to each coefficient variable in the multivariate polynomial. Then, the iron loss of the high-frequency transformer can be calculated according to the multivariate polynomial and each optimal coefficient, which effectively enriches the iron loss determination method of the high-frequency transformer and realizes the diversification of the high-frequency transformer iron loss determination method.

The present invention discloses a forward solution algorithm for a parallel mechanical platform based on polynomial regression, comprising the following steps: Step 1: constructing a six-variable cubic polynomial as follows: #imgabs0# wherein: is the parameter to be solved, A is the cubic coupling term parameter of 1, B is the quadratic coupling term parameter of 1, C is the linear term parameter of 1, and D is a constant parameter; Step 2: kinematically inversely solving the known posture parameters to obtain the corresponding robotic arm length, and then eliminating the remaining unknowns except for the parameters A, B, C, and D in the above formula; Step 3: establishing a set of 259 linear equations for solving A, B, C, and D, solving the linear equations, and obtaining the values of A, B, C, and D. The present invention solves the problems of non-globality and poor real-time performance of Newton iteration in kinematic forward solution problems, and can be used in a multivariate polynomial regression forward solution algorithm for a parallel mechanical platform. The polynomial regression method can converge globally and has stronger real-time performance.

The present application discloses a data repair method, distributed storage system, device, medium and product, which relate to the field of data storage technology. The method obtains the data to be stored, divides it into blocks to obtain at least one data block, and then maps the stored data of at least one data block to obtain multivariate polynomial coefficients to construct a minimum storage regeneration code while completing the work of storing the stored data to the storage node. The method realizes mapping the data symbols (stored data) to the coefficients of the multivariate polynomial rather than the traditional matrix elements, which facilitates the repair process in the subsequent data repair process. The multivariate polynomial is reconstructed from the polynomial coefficients of the helper node using the corresponding multivariate polynomial interpolation method to complete the repair. The low complexity characteristics of the polynomial interpolation method are utilized to avoid the high computational load of matrix inversion, reduce the time complexity of the repair process to #imgabs0#, and significantly improve the repair efficiency.

The present invention discloses a satellite navigation receiver positioning method based on multivariate polynomial principal term decoupling elimination. The method uses satellite ephemeris data sampled by the receiver to obtain pseudorange observation data, obtaining a pseudorange observation equation. The pseudorange observation equation is then converted into a multivariate polynomial form. Elimination is performed to obtain a principal term decoupled trigonometric polynomial. The decoupled equations are then solved in reverse order to obtain user coordinates and system clock errors. The method utilizes the concept of elimination and approaches the solution of a multivariate polynomial system. Because it does not involve the discarding of higher-order terms and iterative calculation operations required in linearization, it can reduce the amount of computation while ensuring positioning accuracy.

The present disclosure relates to an information processing method and an information processing system that enable post-quantum and highly secure practical digital signatures, and also relates to a program. The present invention sets s < Rq as a secret key, sets F (s) including a multiple multivariate polynomial forming a Ring-MQ (multivariate quadratic) function as a public key, generates a digital signature based on the secret key, and verifies whether the digital signature is normal by the public key. The method can be applied to a digital signature system.