829 results about "Matrix element" patented technology

A high-strength and ultra heat-resistant high entropy alloy (HEA) matrix composite material and a method of preparing the HEA matrix composite material are provided. The HEA matrix composite material may include at least four matrix elements among Co, Cr, Fe, Ni, Mn, Cu, Mo, V, Nb, Ta, Ti, Zr, W, Si, Hf and Al, and a body-centered cubic (BCC) forming alloy element.

A control device and a corresponding control method are provided for establishing an information-output ranking of a plurality of information sources, in particular audio sources. In order to output the information of the information sources to a common information-output device, the information-output ranking is established in pairs for the audio sources which is in the form of an audio-output matrix having a nonlinear order with respect to the matrix elements, and wherein each matrix element of the information-output matrix is used to determine the priority of a corresponding information source with respect to another information source. A conflict among competing information outputs is solved in this manner.

The present invention is directed to a system and method for multiplication of matrices in a vector processing system. Partial products are obtained by dot multiplication of vector registers containing multiple copies of elements of a first matrix and vector registers containing values from rows of a second matrix. The dot products obtained from this dot multiplication are subsequently added to vector registers which make up a product matrix. In an embodiment of the present invention, each matrix may be divided into submatrices to facilitate the rapid and efficient multiplication of large matrices, which is done in parts by computing partial products of each submatrix. The matrix multiplication performed by the present invention avoids rounding errors as it is bit-by-bit compatible with conventional matrix multiplication methods.

An efficient simulation system of quantum algorithm gates for classical computers with a Von Neumann architecture is described. In one embodiment, a Quantum Algorithm is solved using an algorithmic-based approach, wherein matrix elements of the quantum gate are calculated on demand. In one embodiment, a problem-oriented approach to implementing Grover's algorithm is provided with a termination condition determined by observation of Shannon minimum entropy. In one embodiment, a Quantum Control Algorithm is solved by using a reduced number of quantum operations.

Embodiments of the invention provide an administrative utility for associating keywords or other metadata, sequence information, and/or one or more elements of a story matrix with a presentation slide, document page, or other portion of a document. Embodiments of the invention provide a search utility for identifying and/or importing a presentation slide, document page, or other portion of a pre-existing document based on one or more of keyword(s) and/or other metadata. Embodiments of the invention provide a utility for ordering presentation slides, document pages, or other portions of documents based on one or more of sequence information and/or one or more story matrix elements. Embodiments of the invention provide a utility for identifying and/or correcting slide or page formatting errors that may be associated with the reuse of presentation slides, document pages, or other portions of documents in a new presentation or other document. Any one or combination of the foregoing features may advantageously improve the cost and/or cycle time associated with creating a new presentation or other document.

Aspects of a method and system for utilizing Givens rotation expressions for quantization for a general beamforming matrix in feedback information. In one aspect of the invention, feedback information is computed at the receiving MIMO wireless device based on a geometric mean decomposition (GMD) method. The feedback information may include a matrix that describes a wireless medium. The matrix may represent a multiplicative product of at least one rotation matrix and at least one diagonal phase rotation matrix. Each of the rotation matrices may include at least one matrix element whose value is based on Givens rotation angle. The transmitting MIMO wireless device may subsequently transmit a plurality of signals via the wireless medium based on the received matrix information. The signal strength and/or signal to noise ratio (SNR) measurement (as measured in decibels, for example) associated with each of the transmitted plurality of signals may be about equal.

The present disclosure relates to reticulated elastomeric matrices, and more particularly to at least partially degradable elastomeric elements that are compressible and exhibit resilience in their recovery and that can be employed in diverse applications including, without limitation, biological implantation, especially in humans.

A code computing apparatus with an error detection code (CRC) generating function and an elliptic curve cryptography (ECC) function, comprising a matrix element computation part 30 for generating matrix elements from parameter values set in first and second registers 201 and 202, a matrix element register 51 for holding the matrix elements generated by the matrix element computation part, and an inner product calculation part 40 for executing inner product calculation between the matrix elements held by the matrix element register and data set in a third register. The matrix element computation part selectively generates matrix elements for error detection and matrix elements for encryption by changing the parameters to be set in the first and second registers, and the inner product calculation part is shared to error control code generation and data encryption by altering the matrix elements to be held in the matrix element register.

An efficient computation of low-dimensional linear subspaces that optimally contain the set of images that are generated by varying the illumination impinging on the surface of a three-dimensional object for many different relative positions of that object and the viewing camera. The matrix elements of the spatial covariance matrix for an object are calculated for an arbitrary pre-determined distribution of illumination conditions. The maximum complexity is reduced for the model by approximating any pair of normal-vector and albedo from the set of all such pairs of albedo and normals with the centers of the clusters that are the result of the vector quantization of this set. For an object, a viewpoint-independent covariance matrix whose complexity is large, but practical, is constructed and diagonalized off-line. A viewpoint-dependent covariance matrix is computed from the viewpoint-independent diagonalization results and is diagonalized online in real time.

In a recommender method, Bayesian Matrix Factorization (BMF) is performed on a matrix having user and item dimensions and matrix elements containing user ratings for items made by users in order to train a probabilistic collaborative filtering model. A recommendation is generated for a user using the probabilistic collaborative filtering model. The recommendation may comprise a predicted item rating, or an identification of one or more recommended items. The recommender method is suitably performed by an electronic data processing device. The BMF may employ non-Gaussian priors, such as Student-t priors. The BMF may additionally or alternatively employ a heteroscedastic noise model comprising priors that include (1) a row dependent variance component that depends upon the matrix row and (2) a column dependent variance component that depends upon the matrix column.

The present disclosure relates to reticulated elastomeric matrices, and more particularly to at least partially degradable elastomeric elements that are compressible and exhibit resilience in their recovery and that can be employed in diverse applications including, without limitation, biological implantation, especially in humans.

The invention discloses a matrix fully homomorphic encryption method. The matrix fully homomorphic encryption method comprises an initialization module, an encryption module, a decryption module and a matrix fully homomorphic module. The initialization module is used for generating secret keys needed by encryption and decryption according to dimensions of matrices to be encrypted, encryption types and ranges of matrix element values. The encryption module is used for utilizing encryption algorithms and the secret keys to conduct encryption on plaintext matrices and outputting ciphertext matrices according to the given plaintext matrices. The decryption module is used for utilizing the secret keys and decryption algorithms to conduct decryption on ciphertext matrices and outputting the plaintext matrices according to the given ciphertext matrices. According to the matrix fully homomorphic module, additive operation and multiplying operation of the matrices meet homomorphic properties of the matrices, output generated by the additive operation and the multiplying operation of the matrices still meets the homomorphic properties, namely, fully homomorphic properties of the matrices are met. The matrix fully homomorphic encryption method has the advantages of meeting safety requirements, meeting fully homomorphic requirements of the matrices and remarkably increasing the operating rate of the ciphertext matrices.

An addressing mechanism for charging and discharging quasi-capacitive elements in an X-Y matrix. The addressing mechanism may be configured to toggle a resistor-capacitor (RC) time constant between large and small values such as by opening or closing a circuit path to a low impedance resistor disposed in parallel with a higher impedance in-line resistor. When this occurs, elements in the X-Y matrix can be addressed and controlled. The X-Y matrix may be comprised of multiple “rows” and “columns” of conductors where crosstalk may occur along the columns and rows. Crosstalk may be curtailed by using either hysteresis management or global control of the row's impedance along its entire length. The resulting control obviates the need for active devices at each matrix element to perform the switching functions.

The present invention relates to a quick scanning method for a residual error matrix in video coding process, which belongs to the field of video coding in signal processing. The method comprises: storing elements in a two dimension residual error matrix to a one-dimension serial according to a preset mapping way; extracting the lots of residual error elements gradually and orderly from the one-dimension serial, computing a level value, a map value and a run value of each residual error element, and storing them respectively. In the process of scanning the residual error matrix, the invention can parallelizably and effectively read the residual error element, accomplish parallelizably data computing and information extracting, and can quickly obtain the required scanning results, thereby, the invention greatly reduces the time cost in whole scanning process, enhances the coding rate of a coder, and facilitates the realization of real-time encoding under high distinguishability.

The invention discloses a low-complexity quantum circuit simulation system, and belongs to the field of quantum computing. The low-complexity quantum circuit simulation system overcomes the technicalproblems in the prior art that the quantum circuit simulation storage space is too large and the calculation time is too long. The system comprises an input module, a storage module and an output module, the storage process of the storage module for data is as follows: (1) a mathematical model is established to represent the operation of a quantum state and quantum logic gate; (2) quantum bits aregrouped and the serial numbers of the quantum bits are rearranged; (3) degree reduction is conducted on a total operation matrix U0, and an output state is calculated. According to the system, a matrix element of a quantum state vector is directly operated by using an connotative inherent law of a quantum logic gate, at the same time, the method has expandability, in the future, a supercomputer can be used to simulate a quantum computer with more bits.

The invention discloses a fast decoupled flow calculation method for power systems, which comprises the following steps of: inputting original data and initializing voltage; forming an admittance matrix; forming correction equation coefficient matrixes B' and B'' and performing factor table decomposition; performing P-theta iteration, and correcting a voltage phase angle; performing Q-V iteration, and correcting voltage amplitude; judging whether the iteration is converged; and calculating node power and branch power. The method requires that the P-theta iteration and the Q-V iteration are all converged in the same iteration and the iteration process is finished, so that the algorithm frame is simpler, and the flow is clearer. The sparse matrix technology is not adopted, so the matrix elements are convenient to access and calculate, and the programming is simple; the correction equation coefficient matrixes are stored according to n order, number change of nodes is avoided, and the programming difficulty is reduced; and the calculation amount is reduced through reasonable logic judgment, the calculation speed is obviously improved and the requirement of scientific research can be completely met. The fast decoupled flow calculation method also can process power systems with a plurality of balance nodes.

In one aspect, a multiplier for performing multiplication of a first operand and a second operand is provided. The multiplier comprises a matrix having a plurality of matrix elements arranged in a plurality of columns, a first plurality of storage elements to store at least a portion of the first operand, the first plurality of storage elements connected diagonally to the matrix, and a second plurality of storage elements to store at least a portion of the second operand, the second plurality of storage elements connected vertically to the matrix. In another aspect, a multiplier for computing at least a partial product of a first operand having a first length and a second operand having a second length is provided. The multiplier comprises a first register to store at least a portion of the first operand, a second register to store at least a portion of the second operand, and a logic matrix formed from a plurality of matrix elements that together perform a multiplication operation, the logic matrix connected to the first register and the second register such that each matrix element receives at least one bit from the first register and at least one bit from the second register, wherein a number of the plurality of matrix elements does not exceed a product of the first length and the second length.

Systems and methods for reducing the bandwidth needed to read the inputs to a matrix multiply operation may improve system performance. Rather than reading a row of a first input matrix and a column of a second input matrix to produce a column of a product matrix, a column of the first input matrix and a single element of the second input matrix are read to produce a column of partial dot products of the product matrix. Therefore, the number of input matrix elements read to produce each product matrix element is reduced from 2N to N+1, where N is the number of elements in a column of the product matrix.