查询词典 embedding theorem

Stationary process: spectral decomposition of covariance function, spectral decomposition of stationary process, linear time invariant system, ergodic theorem, sampling theorem.

平稳过程：协方差函数的谱分解，平稳过程的谱分解，线性时不变系统，遍历定理，采样定理。

Because the kinematically-admissble cyclic strain rate field required in kninematical-type theorem of shakedown analysis is rather difficult to be constructed, shakedown analysis based on kinematcal theorem cannot be directly applied.

在竖向载荷与水平载荷共同作用下，研究了地基土体的强度特性与土层分布特征对地基承载力的彤响，对地基的极限载荷与安定戳荷进行了比较分析，为全面、综合地评价非均质地基的稳定性提供了有益的参考。

Aiming at bottom roof caving and support impact problems induced with abrupt large scale caving upper roof in face 21303 of Daliuta mine, this paper put forward the motion parameter at roof caving and calculation formula of roof shear breaking force with the help of theorem of momentum, theorem of moment of momentum and D' Alembert principle. Roof caving process was simulated by Ansys Ls-DYNA program, and maxim impact force was got. The theoretical research outcomes in the paper were applied in face 21303 of Daliuta mine, and were accordant with actual observing status of roof caving process.

针对神东煤炭公司大柳塔煤矿活井21303综采工作面，上层采空区顶板突然大规模垮落对下层顶板及支架的突然冲击问题，文章采用动量定理、动量矩定理、达朗伯原理推出了顶板垮落瞬间的运动量及顶板切顶垮落所需要的剪力值计算公式，用ANSYS LS-DYNA程序对顶板垮落过程进行了数值计算，得到了最大冲击力，在大柳塔煤矿活井21303综采工作面对顶板垮落特征进行了实际观测和理论成果验证。

In this paper we introduce some new definitions, they are the generalizations of those concepts in Lie theory, and we discuss initially the elementary properties of operator Lie algebras. Finally, the famous Jordan-Holder theorem and the uniqueness of decomposition theorem of operator Lie algebras are proved.

在这篇文章里，我们将李代数理论中的诸多概念加以推广，并初步地探讨了算子李代数的性质，最后还给出了算子李代数的一个分解定理，其唯一性也得到了证明。

Properties of cut sets, decomposition theorem, representation theorem of intuitionistic fuzzy sets are discussed.

在此基础上，给出了直觉模糊集的分解定理和表现定理。

In this paper a modified centroid coincidence theorem and a motion parameter decomposition theorem are introduced,which degenerate it into a pure rotation problem with only 3 degrees of freedom.

最优运动估计本质上是6自由度的非线性问题，本文提出推广的质心重合定理和运动参数分解定理，将其简化成3自由度的纯旋转问题。

The infonnation orthogonalization theorem and the information magnitude decomposition theorem are proposed and proved.

提出信息正交化定理，为解决相关信息最优融合问题找到了统一的途径。

Accordingly,they can result in the celebrated Jordan theorem and the third decomposition theorem of space directly and, moreover,they can give a new deep insight into the exquisite and subtle structure of the Jordan ...

因而，它们能够直接导致著名的Jordan定理及空间的第三分解定理，且能给出对Jordan形精致微妙结构的新的深刻洞察。后者表明，复线性变换的Jordan标准形是一种在双重任意选择下具有不变性的结构。

In chapter 5,we persue the ctiticality and complexity of thecritical sets.We describe carefully the Whitney's example in 1935.Meantime,we introduce some rsults about the critical sets and thecritical value sets,in particular,on W-sets and C-sets.And usingthe Lebesgue density theorem and the Vitali covering lemma weprove a rank zero theorem with Hausdorff measures.Finally wegive some examples to prove our results are sharp in the sense thatthe numbers k,m,n,s,〓,etc.,in the hypothesescan not be improved.

第五章研究临界点集的临界性和复杂性，并详细地描绘了Whit-ney在1935年的例子，同时也介绍了关于临界点集和临界值集的一些结果，尤其是W-集和C-集的一些结果，并利用Lebesgue密度定理和Vitali覆盖引理证明了一个与Hausdorff测度相关的秩零定理，最后举例证明我们的结果在定理的假设中的那些数字如k，m，n，s，a，r+/等不能被改进的情况下是最佳的。

For example, we cannot copy an unknown state exactly because of "the no-cloning theorem"(no-deleting theorem), which is known as one of the most significant differences between classical and quantum information. Therefore to get to know what we can and cannot do in QIS or in quantum physics becomes an important and interesting problem. Particularly, in quantum communication and quantum cryptography, many novel schemes are based on the fact that nonorthogonal states cannot be discriminated determinately.

例如，经典信息中，编码状态是可以精确复制、区分的；而在量子信息中，由于叠加性的存在，使得非正交态不可区分，量子态不可复制、删除等；故而以往既成的观念都被打破，探讨在量子信息的框架下编码信息的估计、物理可实现的操作，以及这些量子体系在外界通过物理方法进行识别过程中的差异，是量子信息学、乃至物理学中的重要也很基本的问题。

Although translator has turned from being a crystal ball by which the original culture can unrestrainedly penetrate to another crystal ball by which the target culture can freely traverse, the translator's personal embodiment, in the process of cognitive act, are still absent in translation studies. Translators are still subjects without body or simply disembodied subjects.

译者虽然由原语文化可以自由穿透的玻璃球变成了译语文化可以自由穿越的玻璃球，但译者认知过程中的个体体验在翻译研究中依然缺席，译者依然仅仅是一个没有躯体体验的主体。

Chillingly, he claimed our technology is 'not nearly as sophisticated' as theirs and "had they been hostile", he warned 'we would be been gone by now'.

令人毛骨悚然的，他声称我们的技术是'并不那么复杂，像他们一样，和"如果他们敌意"，他警告说，'我们将现在已经过去了。