查询词典 inverses

All 24 trigonometric and hyperbolic functions and their inverses are included in the source code.

所有24个三角函数和双曲函数及其逆包括在源代码。"/页"

It is well-known that the generalized inverses of a matrix have wide applications in many areas such as differential and integral equations, operator theory, statics, optimal theory, control theory, Markov chains and etc.

众所周知，矩阵广义逆在许多领域中有广泛应用，如在微分和积分方程、算子理论、统计学、控制论、Markov链、最优化等。

Eliminating the restriction of the characteristic of field ,the forms of invertible linear operator preserving inverses of matrices over full matrix space with at least four elements are described.

去掉了域的特征限制，刻画了至少包含4个元素的任意域 F上的全矩阵空间Mn的保逆的可逆线性算子形式。利用保幂等的结论证明了f为Mn上保持逆矩阵的可逆线性算子当且仅当存在P∈GLn，使得f=εPAP-1，A∈Mn，ε=±1∈F；或者存在P∈GLn，使得f=εPATP-1，A∈Mn，ε=±1∈F

Kronecker product ; Generalized inverses of a matrix ; Matrix equation

Kronecker积；矩阵的广义逆；矩阵方程

They are all important research topics of matrix theory. In this thesis, we mainly study problems on weighted generalized inverses, weighted polar decomposition, and partial orderings of matrices.

矩阵的广义逆与极分解在数值分析，矩阵逼近等方面都有很重要的应用，是矩阵理论的重要研究内容。

In this paper, we study general Moore-Penrose inverses of morphisms in a preadditive category.

本文在预加范畴中研究态射的广义Moore-Penrose逆。

In this paper,discussions are made on the weighted Moore-Penrose inverses of the morphisms with universal factorization in the preadditive category.

的范畴中态射的Moore-Penrose逆，给出具有满单分解态射Moore-Penrose逆存在的充要条件以及计算公式。

The use of the Chinese remainder theorem transforms the operation of producing the multiplicative inverses into two corresponding operations with shorter numbers and a faster combination step so that, compared with methods not using the Chinese remainder theorem, an acceleration by factor 4 can be achieved.

采用中国余数定理，形成将倍数逆数的运算转换为两个具有较短数字和一个较快结合的运算的步骤，使得相较于没有中国余数定理的方法可获得因子4的加速。

Furthermore that the square measure error is not depending on the choice of generalized matrix inverses is proved. Finally the least square estimation and the maximum likelihood estimation for this model are proposed.

在此基础上对奇异度量误差下的函数关系模型的参数进行估计，得出了模型参数的最小二乘估计和极大似然估计。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题，概述了广义逆矩阵，广义逆保持问题的研究现状，在对线性映射的基础知识，广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上，深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式，继而研究了保对称矩阵群逆的线性算子形式。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。