查询词典 embedding theorem

After that, we discuss the weak duality theorem and the strong duality theorem concerning Benson efficient solutions.

接着讨论了Benson真有效解的强弱对偶性定理。

In the study of finiteness conjecture, there are two important conclusions, that is Revised Dulac"s Theorem and Il"yashenkos Theorem. But the discusses and demonstrations of these two theorems are very brief and simple in existing documents.

在有限性猜测的研究中有两个十分重要的结果，即修正的Dulac定理和Il'yashenko定理，现有的文献对这两个定理的讨论和证明非常简要。

We analyse the Lewy theorem and the provement idea of the theorem, and find the equation (7)and (8)are not equivalent under the reversible transformation, this lead to the absurdity in the provement does not come into existence .

分析Lewy定理及定理的证明思想，发现在证明中所述的可逆变换下，方程（7）与（8）并不等价，导致Lewy定理证明中归谬不成立。

Under the locally uniform τ-Opial condition, using product topological net, a new convergence condition of X with locally uniform τ-Opial condition is obtained, and give the ergodic theorem and τ-convergence theorem of the almost-orbits for asympotically nonexpansive typesemigroups in Banach space X are given.

首先给出了局部一致τ-Opial条件的概念，运用乘积拓扑网技巧得到了具有局部一致τ-Opial条件下空间X的新的收敛条件。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

The earliest such theorem is the Gauss-Bonnet theorem, which gives the Euler characteristic in terms of the integral of the Gaussian curvature.

这方面最早的结果是 Gauss-Bonnet定理，它表明曲面的Euler示性数能用Gauss曲率的积分表示。

His analysis gave birth to the well-known"Coase Theorem"which states,in essence,that if all scarce resources are viewed from the standpoint of rights,and if all rights are costlessly delineated or defined as private or exclusive,then in the absence of transaction costs the standard theorem of exchange will operate to bring about the most valuable use of resources.

这个理论的要点，是指出从产权的观点来观察资源的运用，倘若将产权划分或界定为私有是不需费用的，那么在交易费用不存在的情况下，交易取利可保证资源必定会作最有效的运用。

His analysis gave birth to the well－known"Coase Theorem"which states,in essence,that if all scarce resources are viewed from the standpoint of rights,and if all rights are costlessly delineated or defined as private or exclusive,then in the absence of transaction costs the standard theorem ofnbs exchange will operate to bring about the most valuable use of resources.

这个理论的要点，是指出从产权的观点来观察资源的运用，倘若将产权划分或界定为私有是不需费用的，那么在交易费用不存在的情况下，交易取利可保证资源必定会作最有效的运用。

The exchange theorem of bases of closed regular fuzzy matroids is obtained with the help of "the exchange theorem of bases" of crisp matroids. Then,the relations between the fuzzy bases and the fuzzy circuits in closed regular fuzzy matroids are studied, and some necessary and sufficient conditions for some fuzzy independent set to be a fuzzy base; some fuzzy circuits from a fuzzy base, and some fuzzy bases from a fuzzy circuit are investigated.

根据传统拟阵的基交换定理，作者给出了闭正规模糊拟阵的基交换定理，得到了一系列结论，并在此基础上进一步研究了闭正规模糊拟阵的模糊基与模糊圈之间的关系，然后给出了闭正规模糊拟阵中某模糊独立集是模糊基、从一个模糊基得到一些模糊圈、以及从一个模糊圈得到一些模糊基的充要条件。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。