实数

Int returns the integer part of X; that is, X rounded toward zero. X is a real-type expression_r_r.

Int函数返回参数X的整数部分，X为实数类型，函数结果为X经过负向舍入(向0舍入)实数。

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 contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

Calculation formulae for real number order derivative and integral of logarithmic functions and power functions have been obtained which are the important references to calculate real number order calculus of any other functions.

计算得出了对数函数、幂函数的任意实数阶导数及积分的完整计算公式，它们是推导其它函数任意实数阶微积分公式的重要参照式。

Fuzzy distance of the theory of fuzzy sets an important component of the fuzzy set theory from the early stage of development, Fuzzy Sets distance has been attracting a large number of the concerns that people use real theory of practice with a non-negative real numbers to measure the distance of fuzzy sets, is through the appropriate transform its alluding to the real axis.

模糊距离是模糊集理论的一个重要组成部分，从模糊集理论发展之初，模糊集的距离一直吸引着众多的关注，人们沿用实数理论中的作法，用一个非负实数来度量模糊集的距离，也就是通过适当的变换将其影射到实数轴上。

"For example, a graph of the relationship Between real numbers and their squares matches each real number on a horizontal axis with its square on a vertical axis."

举例来说，实数与其平方的关系图表符合了横坐标上每个实数皆对应到纵坐标上的平方值。

The image of f = x^2 is the set of all non-negative real numbers if the domain of the function is the set of all real numbers.

f = x^2的像是所有非负实数的集合，前提是该方程的定义域是所有实数的集合。

Can you think of a way to work out the equation with a solution by contacting the expansion process from the natural number system to the real number system?

方程 x 2＋1=0在实数集中无解，联系从自然数系到实数系的扩充过程，你能设想一种方法，使这个方程有解吗？

Completeness of the set of real numbers is its basic character, and it is stable theory background of calculus.

摘要实数集的完备性是实数集的1个基本特征，它是微积分学的坚实的理论基础。

Based on the stacking of data matrix, real-processing of signal subspace, complex shift invariance equation and joint eigenvalue estimation, an algorithm is presented to solve this problem and handle the estimation jointly.

基于数据矩阵的重新排列、信号子空间的实数化处理、复数移不变方程以及联合特征值估计，推导出联合估计参数的ESPRIT类算法，该算法将参数估计问题转化为3个具有实特征值的实数矩阵的联合特征值估计问题。

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。