查询词典 rectangular matrix

The Laplace matrix is an active and important subject in Algebra Graph Theory. It is a discrete form of the Laplace operator on the compact Rimannian manifold acting on the graphs. It has been widely used in many fields such as Physics, Chemistry, Biology, Computer net science and Information theory ,etc. Some results on the Laplace matrix are given in this thesis.

本文主要研究了代数图论中的一个课题：单圈图的Laplace谱，它是黎曼流形上的拉普拉斯算子在图上的离散形式，Laplace矩阵在物理、化学、生物和计算机通信网络研究等学科中有着广泛的应用。

Two-dimensional matrix operations and one-dimensional Fourier transform, if the changes to what can be achieved to complete the integral operation matrix method can reduce computational complexity.

详细说明：用矩阵运算进行二维和一维傅立叶变换，如果改动一下，就可以实现矩阵方法来完成积分操作，可以减少运算量。

In this paper, we will investigate the matrix equation in composition over a complete Brouwerian lattice. First, we give an equivalent condition for the solvability of this equation, i.e. theorem 2.2.3 in this paper: The matrix equation in composition over a complete Brouwerian lattice is solvable iff is the minimal solution of this equation.

本文主要探讨完备Brouwer格上的型矩阵方程，首先给出该类矩阵方程可解的一个等价条件，即本文的定理2.2.3：完备Brouwer格上的型矩阵方程可解的充要条件是是它的解，且是最小解。

The soundness and completeness theorem of this method were proved at last. 5. The a-automated reasoning method based on the a-resolution principle of LP was discussed, the author given a method to describe the set of simple generalized clauses (veriables and non-subregular 1 - IBSFs are only contained) by using a matrix, and translated the a-resolution of two clauses to column operations of this matrix.

最后，证明了该方法的可靠性和完备性； 5、对格值命题逻辑系统LP中基于α-归结原理的α-自动推理方法进行了研究，给出了用符号矩阵表示一类简单的广义子句集合(只含命题变元和非正则1-IESF广义文字)的方法，把α-归结原理转换成矩阵的列变换。

The soundness and completeness theorem of this method were proved at last. This part consists of the following points: 1. The properties of the indecomposable extremely simple form of LP were discussed, the theorem shown that every logical formula of LP was equals of a generalized conjunction normal form. 2. The method for judging a logical formula is a indecomposable extremely simple form or not was discussed, the necessary and sufficient conditions of a logical formula with not more than three implicative connective being a indecomposable extremely simple form was given. 3. The α-resolution fields of the indecomposable extremely simple form of LP were discussed, some elementary results were obtained. 4. The automated reasoning method based on the resolution principle of classical logic was discussed, the author given a method to describe the set of clauses by using a matrix, and translated the resolution of two clauses to column operations of this matrix.

二、关于格值命题逻辑系统LP中α-自动推理方法的研究 1、对LP中不可分极简式的性质进行了研究，证明了LP中任何一个格值逻辑公式等值于一个广义合取范式； 2、对LP中不可分极简式的判定方法进行了研究，讨论了含有不超过3个蕴涵运算的格值逻辑式为不可分极简式的充分必要条件； 3、对LP中不可分极简式的α-归结域进行了研究，得到了一些基本结果； 4、对经典逻辑中基于归结原理的自动推理方法进行了研究，给出了用符号矩阵表示子句集合的一种方法，把不同的归结过程转换成矩阵的列变换。

Variance component model of the random effects of covariance matrix unit for the "Linear model introduction" matrix has been studied.

方差分量模型的随机效应的协方差为单位阵时《线性模型引论》已进行研究。

For the first time, we propose the Ternary production rule and Ternary rule matrix , then use MVL to decompose the compound rules, which both realize lossless decomposition of the 4〓 type of compound rule and avoid rule matrix's dimension increase for introducing new proposition to substitute the compound recondition.

首次提出并使用三值产生式规则及三值规则矩阵，创造性的将多值逻辑用于复合产生式规则分解，很好地实现了4类复合规则的无损分解，同时避免了该类复合规则的出现需引入新的命题而导致规则矩阵规模增大的问题。

The effects of pH and matrix on the intensity of RRS were analyzed based on the conditional stability constant and matrix effect.

它利用待测物与配体缔合后，生成的缔合物因疏水作用聚集形成纳米粒子，能产生强烈的共振散射，从而对待测物进行定性、定量分析。

In this article, the effect of matrix on the intensity of RRS is analyzed theoretically based on the matrix negative absorption effect; the effect of pH is analyzed based on the conditional stability constant which is assayed by spectrophotometry; and MG and CV are analyzed qualitatively and quantitatively through detecting the intensity of RRS by the fluorescence spectrophotometer synchronously scanning.

本文采用负吸收效应，从理论上对体系基体的作用进行分析；采用紫外-可见分光光度计测定吸收光强度，求出缔合物的条件稳定常数，对体系酸效应进行分析；采用荧光分光光度计测定共振瑞利散射强度，对孔雀石绿和结晶紫进行定性、定量分析。

That means to calculate the Hessian matrix of optical flow equation, and the weight of Lucas-Kanade＇s method is defined as the reciprocal of the conditioning number of its Hessian matrix.

然后借用灰度直方图的概念构造方向直方图，提取光流特征，方向直方图由量化光流场来得到，再利用方向直方图构造出一个模板库及其索引序列库。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。