定理

According to the principle of quantum mechanics, exploringly presented the possible mechanism of large-scale expansion at forepart of earth, quanta earth tectonic dynamic mechanism formed from super solid state of centrosphere material, presented the integral tectonic criterion in the process of evolution of earth system considering potential of quanta, potential energy of gravitation and heat energy as a result of special state of matter of centrosphere.③Established the evolutional model of finite nonlinear expansion to of integral tectonic dynamic of earth expansion., presumed and gived the skeleton model of original forepart earth before expanding. Applying the universal large scale finite element software, for the first time considered heat power and self gravitation in the same model of tectonic dynamic model simultaneously.

较系统地讨论了地球膨胀整体构造动力的若干基本理论问题：①分析汇总了地球演化产生、积累和以各种形式损耗的总能量，根据考虑引力势能与热能的维里定理，对现时地球整体动力状态进行判断；②根据量子力学原理，探索性地提出地球大规模膨胀的可能机制——地核物质超固态形成量子简併压强产生的动力——地球量子动力，给出了考虑地核特殊物态的量子势能、引力势能和热能的地球系统演化过程中的整体动力状态判据；③建立了地球膨胀整体构造动力的非线性有限膨胀演化模型，推测给出膨胀前早期地球的轮廓性模型。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and

本课程主要介绍函数和极限，一元微积分和它的应用，ABC级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and parametric estimation, variance analysis, regression analysis.

Advanced Mathematics 1 [Course Code 1040008 MAT114] 本课程主要介绍函数和极限，一元微积分和它的应用，ABC 级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

Firstly,we obtain the representa-tion for the characteristic functional of this particle system,furthermore,we obtain some properties for this system.

本文给出了此粒子系统的特征泛函的表达式（定理2.3），进而获得系统的一些性质。

Routh-Hurwitz is used to determine that the characteristic equation has negative real root, and Center-Manifold theorem is used to study the stability of autonomous differential system in the case of hyperbolic and non-hyperbolic at the equilibrium point.

利用Routh-Hurwitz判定特征方程有负实部根，并利用中心流形定理研究了自治微分系统在平衡点处双曲和非双曲情况下的稳定性，由此产生系统趋于不同稳定点时病毒分裂的临界值，同时利用数值模拟验证了分析的合理性。

Two theorems on chord at contact equation of a nonsingular conic have been proved.

证明了非退化二次曲线切点弦方程的两个定理。

In this paper, we first study the game chromatic number on graphs, and then we give some examples for the lower bound about the game chromatic number of the planar graphs.

首先全面分析了图的点对策着色问题，对某些定理的下界，给出了具体的例子。

This paper includes five parts. Part one is an introduction which introduces the definition of the circular chromatic number and its equal definition, and then it presents theories and conclusions cited later.

本文一共分为五个部分，第一部分为引言，介绍了圈色数的定义及其等价定义，还总结了后面常会引用的定理和结论。

From Poisson matrix, we can observe volume-preserving vector fields. By using Geiges-Gonzalo's existence of contact circle Theorem [3] , we show the existence of volume-preserving circle on3-manifolds which says that every3-manifold admits two linear independent vector fields preserving a same volume form.

通过Poisson矩阵可以观察出保积向量场，再利用Geiges-Gonzalo的接触圆存在性定理[3]，我们证明了保积圆的存在性：每个闭的3-流形上都存在两个处处线性无关的保积向量场并且它们的常系数线性组合仍是保积向量场。

Circuital theorem.

布。可用安培环路定理。

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。