查询词典 imbedding theorem

By the age of 19 Gauss had discovered for himself proved a remarkable theorem in number theory known as the law of quadratic reciprocity.

将number theory 误为"数理"，系不了解专业所致，其实8ttt8.com 它在数学上是指"数论"，与"数理"是两个不同的概念。

In this dissertation, a theorem to describe the relationship between the quotient group Aut/H and the set F_f is presented. And a way to find the elements of F_f that are conjugate to f is proposed. Then we prove that the quotient group Aut/H is isomorphic to S_3, the symmetric group of order 3, and H is a semidirect product group of GL_(m/2)(4) with the classical binary simplex code S_m in the linear case.

本文刻画了商群Aut／H与集合F_f的关系，给出了一个确定集合F_f中那些与f共轭的元素的方法，还证明了在线性情形下，商群Aut／H与3阶对称群S_3是同构的，而且H是GL_(m/2)(4)与经典单形码S_m的一个半直积，并且推关广了Calderbank等人的一个结果。

Based on the theorem of random vector and matrix, the statistics of maximum likelihood and MMSE MIMO channel estimations are analyzed under correlated MIMO channels.

基于随机矢量和矩阵理论，分析了相关MIMO信道下的最大似然和MMSE MIMO信道估计的统计特性。

The dissertation will study some problems in stream ciphers. The main results that the author obtained are as follows:(1) The concept of fuzzy linear complexity is presented initially. The estimation problem of the fuzzy linear complexity of the random vector is studied, and a lot of upper bounds are given. The limit properties of fuzzy linear complexity of random vector are studied, and the limit theorem and the limit of variance of the fuzzy linear complexity of random vector are given.(2) The concept of fuzzy nonlinear complexity is presented initially.

本文在前人工作的基础上对序列密码中的一些问题进行了研究；所取得的主要研究成果综述如下：（1）首次提出了模糊线性复杂度的概念，对随机向量的模糊线性复杂度的均值进行了估计，给出了几个上界估计公式，并研究了随机向量模糊线性复杂度的极限性质，给出了随机向量模糊线性复杂度的极限定理及其方差的极限。

The estimation problem of the fuzzy nonlinear complexity of the random vector is studied, and some upper bounds are given. The limit properties of fuzzy nonlinear complexity of random vector are studied, and the limit theorem and the upper bound of variance limit of the fuzzy nonlinear complexity of random vector are given.(3) Enumeration of lst-order correlation-immune functions is discussed further.

首次提出了模糊非线性复杂度的概念，对随机向量的模糊非线性复杂度的均值进行了估计，给出了若干上界估计公式，并研究了随机向量模糊非线性复杂度的极限性质，给出了随机向量模糊非线性复杂度的极限定理及其方差极限的上界。

A new and complete version of Equivalence Theorem for REC is presented.

由此导出一个新的更完整的关于REC的等价性定理。

In this paper, the reciprocal theorem is applied to research on the bending problem of set-squares under a concentrated load acting at any of its points.

本文应用功的互等定理研究了在一集中载荷作用下三角形板的弯曲问题。该法简单、通用

In this paper, the reciprocal theorem is applied to research on into the bending problem of set squrare with three clamped edges under a concentrated bending moment acting at any of its points, and the accurate solution of this problem is given.

应用功的互等定理研究了在一集中弯矩作用下三边固定三角形板的弯曲问题，给出了该问题的精确解。

In this paper, reciprocal theorem method is generalized to solve the problem of bending of thick rectangular plates under uniformly distributed load based on Reissner s theory.

在本文中，功的互等定理法被推广应用于求解基于Reissner理论的厚矩形板的弯曲问题，给出了三边简支一边固定厚矩形板在均布载荷作用下弯曲的精确解析解，并分析了解的数值结果。

In this paper, reciprocal theorem method is generalized to solve the problem of bending of thick rectangular plates under hydrostatic pressure based on Reissner's theory.

应用功的互等法求解基于Reissner理论的厚矩形板的弯曲问题，给出了三边简支一边固定厚矩形板在静水压力作用下弯曲的封闭解析解，并给出了该种情况下的曲线图。

However it can often be frust ating for a child when people are unable to pronounce their name.

但它往往可以令人沮丧的一个孩子当人们无法断言他们的名字。

All these compounds were obtained from this genus for the first time. Compound, 4-cumylphenol, was a new nature product.

所有化合物均为首次从本属海藻中分离得到，其中4cumylphenol为新天然产物。