查询词典 imbedding theorem

Recently,several famous problems,such as the Gaussian Conjecture(for imagi-nary helds)and Fermat's Last Theorem,are ultimately solved-of which ellipticcurves play key roles in those historical proofs.

最近，著名历史难题高斯猜想、费尔马大定理等的被解决，主要就是一些椭圆曲线起了关键作用。

Solveing to some extent problem to define hidden layer node number of feed forward networks,and makeing successfully it to apply to solve weierstrass theorem of that is polynomial approach continuous function;and establishing dynamic mathematical neural networks of Romberg integration.

从而在一定程度上解决了前向神经网络隐层结点数无法确定的难题，并成功地将其运用于解决用多项式逼近连续函数的魏尔斯特拉斯定理，并建立了龙贝格求定积分的动态数学神经网络模型。

A bending motion equation of a tilting drive shaft with rigid multi-supports is derived by theorem of the motion of mass center, method of Galerkin and Heaviside function.

根据质心运动定理、Galerkin法和Heaviside函数，求得非惯性系下倾斜刚性多支点传动轴的弯曲运动方程。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程，并根据相邻轴段的衔接面处位移相等的条件，得到阶梯轴的当量轴及其动力学方程；用Galerkin法得到当量轴的弯曲运动方程，用多尺度法求得稳态下当量轴的主共振的一次近似定常解，分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

Quantum cryptography is the combination of classical cryptography and quantum mechanics. The characteristics of quantum mechanics, such as no-cloning theorem and Heisenberg's uncertainty principle, provide the perfect secrecy for quantum cryptographic communication.

量子密码学是密码学与量子力学结合的产物，利用量子不可克隆定理和海森堡测不准原理等量子特性，量子密码通信理论上已经证明是绝对安全。

P.G.泰特","Fourier's Theorem is not only one of the most beautiful results of modern analysis, but it may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.

&，&傅里叶的定理不仅是现代分析学最美妙的结果之一，也可以说它为解决现代物理学中几乎每一个难解的问题提供了一个不可缺少的工具。

Moreover, the Nernst's theorem is an independent law too.

此外，能氏定理也是一条独立的定律，它与绝对零度不能达到不可互推。

If the electric charges in the two stars are supposed to be equal, it can be calculated according to the Kulun's theorem that 19100 nuclear unity masses must have one electron , such that the electromagnetic force produced can provide enough centrifugal force for the rotation.

假定两星所带的电荷数量相等，根据库仑定律，我们可以计算出，在两星中平均每19100个原子单位质量，就必须带有一个电子电荷，所产生的静电引力才能够提供足够的向心力。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。