实数

However ,the reader should realize that all properties of real numbers that are to be accepted as theorems must be deducible froom the axioms without any reference to geometry.

然而，读者应该认识到，拟被采用作为定理的所有关于实数的性质都必须不借助于几何就能从公理推出。

By λ0 we mean the smallest value of λ which can be taken such that the equation determining Tc in the Matsubara representation has a real...

这里λ_0是Matsubara表象中使决定T_c的方程具有正实数解的最小的λ值。

This main approach is also coincidence degree theory. Moreover, when the time scale T is chosen as the sets of real or integer numbers, the existence of periodic solutions for its differential or difference equation are obtained respectively.

若分别选取时标T为实数集或整数集时，则分别得到它的微分方程或差分方程周期解的存在性，这就避免了对这些生态系统的微分和差分方程周期解的存在性分别进行讨论。

The main purpose of this course is to let students understand the fundamental principles of the differential integral calculus and its basic techniques of applications.

本课程之目的在使学生能了解微积分的基本原理和应用的技术，课程内容包含1。实数、函数与其图形 2。

The distortionless lossy CPS has a real characteristic impedance, and thus, perfect port matching of the coupler can be achieved.

无失真具损耗的共平面带状传输线具有实数特性阻抗，使得耦合器在中心频率可达成匹配。

This paper introduces the real number domain and limited domain of the definition of Elliptic Curves, it introduces the basic principles of Diffie-Hellman key exchange in detail which bases on the definition of Elliptic Curve Cryptosystem, and the methods of implementation which makes use of Elliptic Curve. It analysis the advantages and disadvatages of the Diffie-Hellman key exchange technology , and gives a worthwhile improvement in the same time.

本文介绍了在实数域和有限域中椭圆曲线的基本定义，然后以椭圆曲线的基本定义为基础，详细论述了基于椭圆曲线密码的 Diffie-Hellman 密钥交换的基本原理及利用椭圆曲线实现密钥交换的方法，分析了Diffie-Hellman 密钥交换技术的优缺点，并给出了值得改进的地方。

In order to get the λ repeated root s of equation f = 0, where λ∈R~+ and the equation may be underivative, an generalized Newton iterative method was constructed with order 2 as its convergence.

设方程f=0有λ重根，其中λ为任意正实数，函数f可能不可导，给出了求这一类方程的λ重根的一个广义Newton迭代法，并证明了这种方法的收敛阶为2。

For the anomaly detection in the vibration time series of the rotor system, a real-valued negative selection algorithm based on Euclidean distance has been implemented.

针对转子振动时间序列中异常数据的检测问题，采用欧氏距离进行匹配计算，在实数域实现了负向选择算法。

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

The euclidean norm of an n-vector x with real or complex components is defined as following.

凡具实数分量或复数分量的n-维向量x的欧氏范数被定义如下。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。