查询词典 compactification theorem

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

Like most university graduates in mechanical engineering, I do not have the sufficient mathematical knowledge to judge major mathematical problems, i.e. Fermat's Last Theorem, Riemann's Hypothesis, Jiang Chun-xuan's proof of FLT, Wiles's in question proof of FLT, or Jiang Chun-xuan's disproof RH, etc.

像大部分机械工程大学毕业生那样，我没有足够的数学知识判断重大数学问题，如费马大定理〔FLT〕、黎曼假设〔RH〕等，以及蒋春暄对于FLT的证明、怀尔斯〔Wiles〕对FLT有问题的证明、蒋春暄对于RH的否定。

In studying applications of CABMUT, it discusses how to estimate disputant's utility. For the situation with incomplete information, it defines the satisfaction function as a measure of disputant's utility, and gets the satisfaction programming and uses it to prove the existence theorem of fair and F——marginal solutions.

在应用方面，该方法讨论了关于冲突者的效用估计问题，特别是对不完全信息的冲突局势，采用满意函数量度冲突者的效用后，得出了满意规划模型，并用之证明了公平解、边际解的存在性定理。

The main work of this dissertation is that after the conventional codebook design algorithm is used to decrease the expected distortion, evolutionary algorithm is introduced into vector quantization based on the partial distortion theorem to design the optimal codebook.

本论文的主要工作正是在利用传统码本设计算法减少平均误差的前提下，根据矢量量化的部分失真定理，引入进化算法，设计出较优的码本。

A partial distortion theorem based Channel-Optimized VQ design algorithm using the evolutionary algorithm on noisy channel was presented.

提出了一个使用进化算法、引入部分失真定理的信道最优矢量量化器的设计算法。

The lower bound theorem of plasticity is employed to obtain the fully plastic resistance of the section as determined by the maximum distortional energy density criterion.

下界定理的可塑性是受聘获取完全塑胶抵抗该科确定的最高畸变能量密度标准。

Building of the operation rules of curl and divergence for vector field in R 3 space;2. Analysing by mathematics and the concepts of flux and curl , we can get the differential form of gauss s theorems in electrostatic field and ampere s cycle theorem in electrostatic field.

电动力学中的内容一般是从电磁学最基本的实验规律出发，由静电场中的库仑定律得到静电场的高斯定理和环路定理，利用通量与散度、环流与旋度的关系，得到静电场的高斯定理和坏路定理的微分形式。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

The decom-position theorem of infinite matrix on a division ring is proved.

对除环上无限方阵的逆方阵作了简单讨论，证明了除环上无限方阵的分解定理。

By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity , which simplifies the proof of the classical conclusion.

本文研究了一类推广的控制收敛定理及其应用，利用对控制函数满足条件的修改，建立了推广的控制收敛定理，获得其在弱奇异性积分算子中的应用，简化了经典结论的证明。

A strange and mysterious deep sea creature.

一种奇异、神秘的深海生物。

It's a yellow rectangle .

这是黄色的长方形。