查询词典 identity theorem

If the power series ∑anxn an ∑anxn and ∑bnxn satisfy the condition r =∑bn xn, we obtain the twin combinatorial identity theorem between the sequences {an} and bn}.We also obtain some specific twin combinatorial identities by using the expansion on the binomial expression formula, including two expansions of combinatorial number(rsn and ...

如果幂级数∑anxn与∑bnxn满足条件r＝∑bnxn 时，获得数列｛an｝与｛bn｝之间孪生组合恒等式的定理，应用在二项式定理等展开式上得出具体的多组孪生组合恒等式，其中包含组合数的两种展开法，Bernoulli数直接表达式的新证等结果。

By use of residue theorem,the trace identity of eigenvalue which correspond to the eigenvalue problem is obtained.

讨论了一个带非局部项的微分方程初值问题解的渐进估计，并利用留数定理给出相应特征值问题特征值的迹公式。

We propose a dynamic identity authentication scheme through a theorem about relative prime numbers, which can prevent replay attacks from taking place. In addition, we present a threshold signature scheme without a trusted party by use of joint secret sharing technique. Finally, the security flaw in an enhanced password authentication scheme is pointed out and the security of an enhanced key agreement protocol is analyzed.

首先基于一个关于互素数的定理设计了一个动态身份认证协议，该协议使攻击者不可能通过回放攻击来假冒用户；利用联合秘密共享技术设计了一个无可信中心门限签名方案；最后，分析了一个改进的身份认证协议存在的安全漏洞，以及一个改进的密钥协商协议的安全性。

Secondly, the Lagrange mean value theorem in some proof of identity and the inequality in a wide range of applications.

其次，拉格朗日中值定理在一些等式和不等式的证明中应用十分广泛。

This paper describes the content of the theorem, and theorems are given two proofs, cite the Lagrange mean value theorem in the mathematics major applications, including that inequality, identity, Limit, determine monotonicity, root The existence of such.

本文简要叙述了定理的内容，并且给出了定理的两种证明方法，例举了拉格朗日中值定理在数学中的主要应用，包括证明不等式，恒等式，求极限，判断单调性，根的存在性等。

Shen prove a short time existence theorem for manifolds with umbilical boundary. He also derived the Simons' identity for the boundary under the Ricci flow. And as a corollary, Shen show that any three-manifolds with totally geodesic boundary which admits positive Ricci curvature can be deformed to a space form with totally geodesic

而带边流形上的Ricci流的研究始于Shen，在1996年，Shen在中考虑带边三维流形上的黎曼度量的Ricci形变，证明了如果初始三维流形的黎曼度量具有正Ricci曲率和全测地边界，则此三维黎曼流形上存在着常正曲率的黎曼度量。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。