查询词典 algebraic

Fundamental concepts in power system differential-algebraic equations model, like singular point and multiple energy function sheets defined on constraint manifolds, are studied.

所得研究成果揭示了微分代数模型与奇异扰动模型的本质区别、奇异性与系统模型和系统负载的联系、结构保持能量函数法可能具有的内在保守性等，这对深入理解电力系统微分代数方程模型的拓扑结构、结构保持能量函数法和暂态电压稳定及其与功角稳定的关系具有一定的价值。

Latent semantic index LSIis a new algebraic model for information retrieval, which maps documents and queries vectors into a lower dimensional space by singular value decomposition, so that the inherent vagueness associated with a retrieval process based on keyword sets is considerably reduced and semantic association among the documents is highlighted consequently.

隐含语义索引是一种新型的信息检索模型，它通过奇异值分解，将词向量和文档向量投影到一个低雏空间，消减了词和文档之间的语义模糊度，使得文档之间的语义关系更为明晰。

Some important properties of singular value vector of color face image were proved, and then it was extracted as algebraic feature and applied to color face recognition.

首先证明了彩色图像的奇异值向量具有代数和几何不变性；然后将其提取为图像的代数特征并应用到人脸识别中。

Some important properties of singular value vector of color face image were proved,and then it was extracted as algebraic feature and applied to color face recognition.

由于灰度图像易处理、灰度人脸图像库易获取的特点，大多数人脸识别方法都是基于灰度人脸图像的。

The algebraic and geometric invariance of singular value vector is firstly given,and then singular value vector compressed is extracted as the image feature,then RBF neural network is used to training and recognition.

首先说明了彩色图像的奇异值向量具有代数和几何不变性，再将降维的奇异值向量作为图像的特征，然后应用RBF神经网络进行训练和识别。

In the first chapter, we have introduced the research background and someresearch achievements of Laplacian spectral radius, and we also introduce somebasic conceptions on algebraic graph.

在第一章中，我们介绍了图的Laplace谱半径的研究背景以及近年来国内外学者的一些研究成果，也介绍了代数图论中的一些基本概念。

In this paper,lower bounds on the spectral radius of adjacency matrices of trees and perfect trees are discussed by algebraic method and edge switching of graph,and all trees which reach lower bounds on the spectral radius are obtained.

利用代数方法、图的边变换，以及树的邻接矩阵谱与L ap lacian谱的关系，研究树和完美树的邻接矩阵谱半径和L ap lacian谱半径的下界，给出达到下界的所有极树，得到的新结果改进了文献[2]的结论。

So the sum of spinor can be simply replaced by the spin average calculation by using grassmann variables algebraic simplified sum spin coupling sum and reduce the computational complexity.

利用格拉斯曼变量的代数简化求和的计算，把自旋耦合求和变成自旋平均计算，在这方面使得求解的过程较传统方法简化许多。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。