查询词典 normalization theorem

The central goal of this work is trying to generalize the above result to the Higgs version case, which should be helpful to the study of some question, say variants of the Kobayashi-Hitchin correspondence. The theorem to be proved here is the followingTheorem 02: Let M be a compact complex manifold of dimension m with a Hermitian standard metric g and let be a Higgs bundle over M.

本文的一个主要的目的是把上面的定理推广到E是—Higgs向量丛的情形；这一结果的意义在于在研究与Kobayashi-Hitchin correspondence相关的问题，如考虑Kobayashi-Hitchin correspondence的形变展现它的作用。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Based on the higher mathematics method proved inequalities are summarized, and the proposed using the function extreme value and the monotonicity and concave and convex function sex, and mean value theorem, Taylor formula, integral these common higher mathematics method, combining with concrete examples of each kind of method to solve the problems for type, and the key problem of the specific steps, and points out that the inequality proof of higher mathematics method used properly, improve the difficult easy to ability to solve problems.

本文对不等式证明中的高等数学方法作了归纳总结，提出了利用函数的单调性，极值与最值，函数凹凸性，中值定理，泰勒公式，积分这些常用的高等数学方法，并结合具体实例阐述了每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，指出在不等式证明中恰当地运用高等数学方法可以化难为易，提高解题能力。

Theorem A.If the density function fhas the first derivative andlogfis a concave function,the MLE of〓for the two-sample location modelPL uniquely exists.

定理A。若密度函数f具有一阶导数并且logf是严格的凹函数，则对于双子样位置参数模型在PL的限制下，〓的MLE唯一存在。

Theorem C.If the density function fhas the second derivative andlogfis a concave function,the MLE of〓for two-sample scale model PSuniquely exists.

定理C。若密度函数f具有二阶导数并且logf是严格凹函数，则对于双子样尺度参数模型在PS条件限制下，〓的MLE唯一存在。

Sometimes different combinations in the concavity and convexity of functions may construct a new theorem.

函数凹凸性的不同组合往往可以构成一个新的极大极小定理。

Then in combination with its concavo-convex function,a simple and direct proof can also be found by using theorem deduction.

通过给出关于凹凸函数的一个性质定理及其推论，对一些特定类型的三角不等式通过构造辅助函数，求出函数的二阶导数；再结合其凹凸性利用定理的推论给予简捷的证明。

In Chapter 1,some elementary knowledge was introduced,such as theBernstein-Bezier representation for polynomials,conform triangulation,theconditions of convexity for Bézier spline surfaces,the funtional andgeometric continuity condition for neibour Bézier surface patches etc.,specially,based on the Liu-Ding-Yuan Theorem for geometric continuity,some simple and practical conditions were obtained.

第一章介绍一些基本知识，如多项式的Bernstein-Bézier表示，相容三角剖分的定义，Bézier三角样条曲面保凸的条件，相邻Bézier曲面片函数连续和几何连续的条件等，特别地，在刘鼎元关于几何连续条件的一般定理的基础上，导出了几个较简单的实用的一阶几何连续条件。

However, Hacking convincingly argues that the theorem of convergence of opinions is not about the convergence of a posterior probability Pre, but about the convergence of a conditional probability Pr.

然而，哈金有说服力地表明，意见收敛定理证明的是条件概率Pr的收敛，而不是验后概率Pre的收敛。

By re-prove the theorem on the relationship between information entropy and roughness of knowledge,this paper finds that it is conditional information entropy which exists one-to-one relationship with roughness of knowledge.Then several related theorems are given and proved.

该文通过重新证明知识粗糙性和信息熵的对应关系定理，找到与知识粗糙性存在一一对应关系的是条件信息熵，并给出相关定理及其证明。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。