定理

Week 3 Momentum theorem, conservation law of momentum and its application, work of variable force, work of conservative force, potential energy.

第3周 动量定理动量守恒定律及应用；变力的功、保守力的功、势能。

Theorem 5.1 : Under Assumptions MLR.1 through MLR.4, the OLS estimator is consistent for both the intercept and slope parameters.

定理5.1：在假设MLR.1到MLR.4下，OLS截距估计量和斜率估计量都是一致的估计量。

First, by the composition theorem of acceleration of influence move, strict mechanical analysis and accurate mathematical computations, we have acquired the presentation formula of acceleration of the movable mass of the gyroscope rotating in a constant angular velocity in an inertia coordinate system.

利用牵连运动的加速度合成定理，通过严格的力学分析和严密的数学演算首先得到其活动质量当陀螺仪在惯性坐标系中作定常角速度转动时的加速度表达式。

The variation of the return rate constant k with different absolute temperature T deviates Arrhenius empiric equation.

反应速率常数随绝对温度的变化基本上符合阿累尼乌斯定理。网格点按所考虑的未知量以脚标k来计数。

With a constructed theorem, the author comes to a conclusion that this method, in a sense, equals to the algorithm of the continued fraction.

通过构造的一个定理对这个算法进行的分析讨论证实，闰周算法是一种很好的实数有理逼近算法，事实上，从某种意义上讲，它与连分数展开算法是等价的。

In this paper, an important property and a theorem have been given about the matrix Thiele's continued fraction which is used to approximate the function of e. Based on the property, the Thiele algorithm is improved. A numeral example is also provided.

文章利用代数知识给出了矩阵指数函数e的连分式逼近函数的一个重要性质和定理，并在此基础上对矩阵指数函数e的连分式算法进行改进，最后用数值例子来验证其可行性。

In this paper, the connectivity axiom and the continuity axiom in Von Neumann-Morgenstern Rational behavior axioms are weakened. Then, a set of axiom for lattice ordered decision-making behavior, which can describe the decision-making behavior more rationally, is constructed. At last, the relative unique existence theorem for utility function is obtained.

根据偏好关系所具有的格序特征，将Von Neumann-Morgenstern理性行为公理体系中的连通性公理弱化为格连通性公理，并相应地弱化连续性公理，得到了一集能更为合理地描述具有"有限理性"的决策行为的格序决策行为公理体系，构造并证明了在格序决策行为公理体系之下，效用函数的存在惟一性定理。

At this in, we prove theorem of the modulus of continuity of levy under the condition of weighted sum that averagesinterval segments about normal wiener process, discuss that define in chapter 2 under of the Wiener process Be adding the power line to combine under of increase quantity have much small.

在这一章中，我们证明了关于标准Wiener过程的等间距分段加权和的Lévy连续模定理，讨论了在第二章中定义下的Wiener过程在加权线性组合下的增量有多小。

Using the continuity method, we will obtain a theorem of existence of solutions to the equation on 4-dimensional compact Riemannian Manifolds.Finally, we will consider a kind of Kazdan-Warner type equation on compact complex manifolds.

作为上述工作的补充，我们讨论了规范固定Yang-Mills方程，并用连续性方法得到了一个在四维紧致黎曼流形上解的存在性定理。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

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。