研究了分支随机转移矩阵与随机生成母函数的关系。
The relation of branching random transition matrix and random generating function are investigated.
线性保持问题(简称LPP)刻画在矩阵空间上保持特定的函数，子集，关系等不变的线性算子。
Linear preserver problem (LPP for short) concerns the characterization of linear operators on matrix Spaces that leave certain functions, subsets, relations, etc.
在分析和给出影响泄洪溅水量的主要特征因子及其隶属函数的基础上，由若干原观资料，建立了泄洪溅水特征因子的模糊关系矩阵。
Based on the analyses of main characteristic factors which affect the overflow spray-motion and their membership functions, the fuzzy relation matrix from the field data is established.
根据网络通信模拟器的要求和工作原理，提出了用开关矩阵函数模拟网络的连通关系以及在相关链路上模拟信道误码的新方法。
Based on the principle and requirements of the NCS, a new scheme that USES the on off matrix function to represent the network topology and bit error rate of each link is presented.
本文利用对称复制及平移复制概念，研究了沃尔什函数的构成，并以矩阵的克罗内克积的形式给出了递推关系。
Making use of the concept of symmetry copy and shift copy, the construction of Walsh functions is studied. Recursive relations are given in the form of Kroneker product of matrix.
模糊控制的精度取决于有关参数，如隶属函数、模糊关系矩阵。
The precision of fuzzy logic control depends on several parameters, such as fuzzy membership functions and fuzzy relation matrix.
研究结果揭开ITAE最优传递函数与加权矩阵Q，R的相互关系，有利于认识ITAE最优控制的本质。
The research results reveal the correlation between optimal transfer function of ITAE and weighting matrix Q or R, so as to recognize the essence of ITAE optimal control.
引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。
Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.
关系矢量-矩阵形式函数的符号约定在此完全用矢量来描述。
Notational conventions concerning functions in vector-matrix form are summarized here entirely in terms of vectors.
讨论线性函数与矩阵的迹的关系，给出了一个线性函数是矩阵的迹的若干充要条件。
This paper studies relation between the linear function and the matrix trace, and obtains a number of necessary and sufficient the condition that a linear function is trace of matrix.
关系矩阵，关系强度矩阵及其可达矩阵之间的函数集和副系统集都成立，因此，该系统的结构建立。
The relationship matrix, relationship intensity matrix and its reachable matrix between the function set and the sub-system set are set up, therefore the system structure is established.
最后讨论两种代数之间的关系，并求出函数展开式系数之间的转换矩阵。
By using discussing the relationship of two-kinds of algebra, the conversion matrix of expansion coefficients are derived.
在构造预条件因子时，采用从目标的“几何结构剖分”出发，而不是从“矩阵元素”出发确定“基权函数之间的作用量关系”，这样保证了构造预条件矩阵的计算复杂度仅为O（N）。
The preconditioner is generated from the target's "geometry structure " and not from the "matrix element", which assured the computational complexity for generating the preconditioner is only O(N) .
给出了流体力学方程中主要的样条函数关系和解算步骤。所有情形都是便于反演的三对角形矩阵。
The main spline relations are presented and incorporated into solution procedures for fluid mechanics equations.
目标函数、各单元的刚度矩阵与质量矩阵等跟设计变量的关系可以是非线性的。
The object function, stiffness matrices and mass matrices of the elements can be of nonlinear relations with the design...
采用模糊综合评估方法，构造了地下空间资源质量评估指标的隶属函数，并确定了隶属度，建立了权重向量与模糊关系矩阵复合运算的模糊综合评估模型。
Based on fuzzy synthesis evaluation, the membership function of each index for underground space resource quality evaluation was constructed, and the degree of membership was determined.
采用模糊综合评估方法，构造了地下空间资源质量评估指标的隶属函数，并确定了隶属度，建立了权重向量与模糊关系矩阵复合运算的模糊综合评估模型。
Based on fuzzy synthesis evaluation, the membership function of each index for underground space resource quality evaluation was constructed, and the degree of membership was determined.
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