查询词典 imbedding theorem

The Hausdorff property of a kind of classifying mode is defined. And it is proved that the single-layer perceptron can deal with the classifying problems of any Hausdorff pattern sets. Chapter 5 studies the radial basis function networks and a proof of Cover pattern classifiable theorem is presented.

第四章主要研究多层感知机的万能逼近性和最佳逼近性，包括权值有界和隐单元权有界时的情况，定义了一种分类模式的Hausdorff性，证明了单层感知机能解决任意具有Hausdorff性的模式集的分类问题。

In [17], there is a theorem about the conjugacy of two words on the alphabet A . This chapter generalizes it to the partial words on the alphabet A.

在M.Lothaire主编的《Combinatorics on Words》[17]一书中，给出了关于字母表A上的字共轭定理，本章把它推广到部分字上。

In this paper obtains the conclusion by the discrete property of integer: If a, b∈Z+, also a≤b, b-a=d, then d is one of 0,1,…,b-1 in these b integers; Theorem: a | b also a | c to abitrary x,y∈Z, has a | to promote to more sums; By promotes the cancellation from additivity of coresidual; By the prime number is the infinite inferential reasoning continual divisible number also is infinite.

论文中由整数的离散性得到结论：若a，b∈Z+，且a≤b，b-a=d，则d为0，1，，b-1这b个数中的一个；将定理：a | b 且 a | c 对任意的x，y∈Z，有a |推广到更多项的和；由同余的相加性推出相减性；由素数的个数是无限的推导出连续合数的个数也是无限的。

Theorem 2.1.11 Let T be〓-categorical.Then for any formula〓,fractiontheory〓is either〓-categorical,or has exactly countably many countable models up toisomorphism.Moreover,all these countable models are〓-homogeneous.

定理2.1.11 若T是〓范畴理论，则任给公式〓，分式理论〓或者是ω-范畴理论，或者只有可数多个可数模型并且这些可数模型都是可数地齐次模型。

With combination of this sensitivity formula and the Courant's maximum-minimum principle one interesting theorem is proposed on the optimal support location to maximize buckling load.

结合灵敏度公式和极大极小原理提出了使屈曲载荷达到最大的优化支承位置的一个定理。

We introduce the concepts of differential and integral of fuzzycomplex functions on the space〓,and get their properties.We provethe depictive theorem of differentiable fuzzy complex functions.

在模糊复数度量空间〓上重新引进模糊复函数的微分概念和积分概念，给出了其微积分的基本性质，证明了模糊复函数可微的刻划定理。

The solutions of the discretionally complex problems can be gained by those solutions and superposition theorem.

利用这些解以及叠加原理，求得了任意复杂问题的解。

By using truncation methods of random variables and Doob martingale convergence theorem,the properties of sequence of arbitrary random variables are studied,a class of strong limit theorems for sequences of arbitrary random variables is obtained under moment conditions, and some conclusions corresponded to these are generalized.

利用随机变量的截尾方法和Doob鞅收敛定理，研究了任意随机变量序列的性质，得到了一类矩条件下任意随机变量序列的强极限定理，推广了与此相应的一些结果

Some important characters such as dyadic shift theorem are also introduced.

最后还给出了它们的诸如并元移位定理这样的重要性质。2。

By describing Pythagorean theorem, the first time-space view explain the plane-line thought which impacts human's thinking manner; the second time-space view is absolute time-space theory of Newton and three-dimensions space-time view intersected by space-time; the third space-time view is curve space-time view which is generated from Einsteinian relative theory. The fourth space-time view is the directional, irreversible entropy time-space thought; the fifth time-space view is dense time-space view of cracked fractal generated from chaos-fractal theory.

第一时空观是通过对勾股定理的描述来说明影响人们思维方式的平直时空观；第二时空观是牛顿的绝对时空理论，是时空分割的立体三维时空观；第三时空观是爱因斯坦的相对论理论所带来的弯曲时空观；第四时空观是具有方向不可逆的熵时空观；第五时空观是混沌与分形理论所带来的破碎分形的稠时空观。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"