幂

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

The chord-integral inequalities are the development and summary of isoperimetric inequalities and the important contents of integral geometry and related disciplines.

弦幂积分不等式是等周不等式的发展和概括，是积分几何和相关学科研究的重要领域。

Inspired by this observation, an interior point algorithm based on power transformation is developed.

在此基础上，我们建立了一个基于幂变换的内点算法。

Big numbers operation will take time, especially modular inverse operation and modular power operation for big numbers.

大数运算是很费时间的，尤其是大整数的模逆和模幂运算。

By using in a sequence the eigen-decomposition,a permutation,the inverse discrete Fourier transformand a truncation on the matrix,an exact and explicit parametrization formula for Loop subdivision surfaces is proposed.

利用控制网格拓扑结构的对称性，通过将奇异点周围1-环和2-环的控制顶点进行离散Fourier变换得到分块对角阵，将其进行特征分解及排序之后，再通过离散Fourier逆变换和截断等操作得到细分矩阵的高次幂的表达式，从而得到Loop 细分曲面新的精确参数化公式

It's put forward an improved distant power inverse estimating value method considering having different character in every direction in the process of building the coal mine deposit geology model ,the graphics edition and the method of calculating volume for plan area.

介绍了准格尔黑岱沟露天矿短期生产计划编制系统及其模型的建立，提出煤矿床地质模型建立过程中的一种考虑各向异性改进的距离幂次反比估值方法，以及图形编辑、计划区算量方法。

Eliminating the restriction of the characteristic of field ,the forms of invertible linear operator preserving inverses of matrices over full matrix space with at least four elements are described.

去掉了域的特征限制，刻画了至少包含4个元素的任意域 F上的全矩阵空间Mn的保逆的可逆线性算子形式。利用保幂等的结论证明了f为Mn上保持逆矩阵的可逆线性算子当且仅当存在P∈GLn，使得f=εPAP-1，A∈Mn，ε=±1∈F；或者存在P∈GLn，使得f=εPATP-1，A∈Mn，ε=±1∈F

Binary square and involution of Power Modules algorithms, cryptography is the most important issue.

二进制平方和乘方的幂模算法，是密码学中的重要问题。

Binary square and involution of Power Modules algorith...

二进制平方和乘方的幂模算法，是密码学中的重要问题。

In Chapter one, the theory of irreducible unitary representations on two-step nilpotent Lie groups is introduced.

在第一章中，首先介绍了二步幂零Lie群上的不可约酉表示理论。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。