定理

In the thesis, the author firstly clears up some basic theories of wavelet analysis, revises some formulae and proves and deduces some theorems and formulae in detail and gives a counter example and paradox.

本文首先对小波分析的理论部分进行整理，对部分公式进行修正，同时给出了部分定理和公式详细的推导和证明，并且给出无穷区间积分的一个反例和悖论。

In this paper,we establish a dynamics model that combines the inflation,real interest rate. base on the results of kalman filter,we adopt feynman-kac theory and the fourier inversion of the conditional characteristic function to calculate the price of the coupon bond option. detail numeric analysis is discussed in this paper.

本文建立了包含通货膨胀、实际利率的动态模型，采用kalman滤波对模型进行估计的基础上，结合feynman-kac定理和特征函数傅立叶变换的方法，对附息债券期权的价格进行研究并给出详细的算例演示。

In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc.

黎曼流形部分主要涉及黎曼度量，黎曼流形的定义，切向量场的协变微分，黎曼联络，黎曼几何的基本定理，曲率张量，曲率形式等概念和理论。

Physics concepts, theorems as well as principles are primary content of physics learning, those knowledge take on the forms by proposition . In chapter 3, the study revealed that physics proposition are mainly obtained by reasoning (inductive reasoning such as tallying method, differentiation method and covariant method, deductive reasoning such as negative expression of hypothetical inference, affirmative expression of hypothetical inference ).Then by the means of experiment, the different condition needed when applying those reasoning was explored.

由于定义性概念、定理和定律等命题知识是物理教学的主要内容，所以在第三章中首先通过研究，表明物理命题主要是运用推理策略获得的(归纳推理策略中的求同策略、差异策略和共变策略，演绎推理策略)；然后通过实验等方法研究使用策略需要的条件；最后依据前面的研究提出适合物理命题学习的任务分析方法。

By adopting the two different covariant representations of ...

在完全的膺矢量表示下，HVH定理遭到了相当大程度的破坏，从而体现出基态关联效应对单核子性质的重要性，并与非相对论BHF理论方法得到的结论一致，因而完全的膺矢量表示要优于膺标量表示。

In this paper,we will introduce semi-continuous function and prove a piece of valuable nature about semi-continuous function with the theorem of finite covering .

本文介绍了半连续函数的定义并利用有限覆盖定理证明了上半连续函数有上界的这一重要性质，从而推广了上半连续函数的某些性质并给出相应的证明

They are ①cubic plane curve constituted with projective pencil of lines and line eonic

进而证明三个定理：①一次线束和其射影对应的二次线束，所对应直线交点的轨迹为三次平面曲线

By using this method, the angular frequency, amplitude, initial phase angle, decay constant of each component in transient voltage and/or current waveforms can be precisely extracted. Also, all other kinds of transient procedure can be analyzed by this method. Thirdly, a new definition of generalized instantaneous reactive power and generalized instantaneous reactive current in dq0 coordinates under any nonsinusoidal and unbalanced three-phase circuit is proposed for the first time. The detection and compensation method for different instantaneous reactive currents are also concerned.

本文首先提出了用于快速高精度频谱分析的一种改进快速傅立叶变换方法，该法具有速度快、精度高、抗混迭、不受采样定理约束、可以分析出谐次大于N／2的频谱系数等特点，可方便地应用于电力系统谐波分析及其它各类频谱分析；然后提出了基于非线性最小二乘优化法的电力系统暂态波形分析方法，可准确求出电力系统暂态电压、电流波形中各个分量的角频率、幅值、初相角及衰减常数，并可广泛应用于各类暂态过程波形分析。

Submanifold; Homology group; Topological sphere theorem; L~2 harmonic 1-forms; Ends; Eigenvalue; Mean curvature; Second fundamental form

基础科学，数学，几何、拓扑子流形；同调群；拓扑球面定理； L~2调和1-形式；端；特征值；平均曲率；第二基本形式

The Pinching problems are discussed on the sectional curvature of compact space-like pseudo-umbilical submanifolds M~n with parallel mean curvature vector in De Sitter space S~_p, and the theory of reduction of the codimension is obtained in De Sitter space through evaluating the Laplacian of square of the length.

讨论了De Sitter空间Snp+p中，具有平行平均曲率向量的紧致类空伪脐子流形Mn的截面曲率的拼挤问题，通过估计第二基本形式模长平方的Laplacian，得到了De Sitter空间中的余维数压缩定理。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新