查询词典 unique factorization theorem

The fundamental problem of the geometry of matrices can be interpreted as a theorem on graph automorphism of the graph on a certain kind of matrices, and it also has practical application in the linear preserver problems which are the research area in matrix and operator theory.

矩阵几何的基本定理也可以叙述为图论中的图的自同构定理；并且它在矩阵和算子的保持问题中有很好的应用。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauder's fixed point theorem.

此外，本章还使用Schauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauders fixed point theorem.

此外，、本章还使用Sehauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

In this paper, using different geometric means, the introduction of the corresponding auxiliary function of the Lagrange theorem proof explored.

本文首先采用不同的几何手段，引进相应的辅助函数，对拉格朗日定理的证明进行了探索。

A corresponding theorem is obtained by using an auxiliary function and two main theorems.

定理的证明主要利用p-adic亚纯函数论中的两个基本定理和一个辅助函数。

The independence of Axiomatic system in essence means that if we delete any axiom or inference rule, then the set of theorem would be changed.

一阶谓词系统的独立性问题的实质是说：如果删除掉某条公理或推理规则，那么定理集将发生变化。

In the paper we generalize the while-rule in Hoare calculus to an infinite one and then present a sufficient condition much weaker than the expressiveness for Cook'2 relative completeness theorem with respect to our new axiomatic system.

程序推理使用的抽象机器与物理机器的差距降低了推理的精确度，为了缩小这个差距，本文提出了一个带位级别抽象的新抽象机，在这个机器里，二进制整数以纯语法的方式被表示成位矢量而不是非负整数。

To verify the properties of the concurrent and reactive systems based on the theorem proving approach, an axiomatization is formulized for the first order projection temporal logic.

为了采用定理证明的方法对并发及交互式系统进行验证，提出了一阶投影时序逻辑的公理系统。

A general model supporting the most commonly used scheduling algorithms for multi-core CPU is constructed by a PTL formula S, and the desired property of the system is described by a PTL formula F, then whether the system possesses the property can be identified by proving whether or not S implying P is a theorem based on the axiomatization of PTL.

使用PTL公式建立了支持当前主流进程调度算法的多内核处理器进程调度一般模型S，并将系统期望的性质描述为PTL公式P，在PTL公理系统的基础上，通过证明S蕴含P是否为一个定理来验证系统是否具备该性质。

Applying the law of conservation of mass,movement theorem of steady flow , and applying the mathematical method of stream function with the consideration of the axis symmetry,the three components of velocity quantum of the flow are deduced in detail.

本文详细阐述了旋风分离器内流动在球坐标系中的数学表述和结果，应用质量守恒定律和定常流动的运动定律，在轴对称的考虑下，用流函数方法详尽推导了流动的三个速度分量。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。