查询词典 theorem

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。

For the case that the eigenstrains is in the form of linear function of Cartesian coordinates of the points of the inhomogeneity, the solution for the stress and strain fields is analytically derived based on the polynomial conservation theorem, the complex function method and conformal transformation together with the principle of minimum strain energy.

对于夹杂的特征应变为线性分布的情况，基于多项式保守定理，运用复解析函数法、保角变换和最小势能原理，获得了问题的封闭形式的解析解。

Shengyubeifenfa;Chinese Remainder Theorem;Euclidean algorithm;Congruence group;Binary Diophantine equation Full Text - Paper in Chinese

我相信，本文的方法不仅在数论，而且在其它数学学科，如：计算机算法、组合数学等方面会得到应用。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。