This paper attempts to popularize the two conclusions in elementary mathematics:the deduction of "2 is one of the irrational numbers" and "the thermo of internal bisector for triangle".
推广了初等数学中“1/2是无理数”和“三角形内角平分线定理”两个推论,并给出了初等数学方法证明。
This article,according to the power series expansion and the Leibniz theorem,had proven,using the reduction to absurdity,when n is the non-vanishing integer,sin(l/n) is an irrational number.
根据sinx的幂级数展开式和莱布尼茨定理,利用反证法证明了当n为非零整数时,sin(1/n)为无理数。
A Taylor formula with integral form surplus term is deduced,by means of which e is simply proved to be an irrational number.
推导一种带有积分形式余项的Taylor公式,并用这个公式比较简单地证明e是无理数。
Sum of square roots of prime numbers is irrational;
素数的平方根之和是一个无理数
The generalized Fibonacci sequence can prove that square roots of integer is either integer or irrational.
文章引入一类广义斐波那契数列,给出其收敛的充分必要条件,并利用该类广义斐波那契数列证明了任何自然数的算术平方根或是自然数或是无理数。
In the paper,I research into the relation between the recurring continued fraction and the quadratic irrational Firstly I prove any recurring continued faction is all the quadratic irrational,and then offer the general method changing the recurring continued fraction into the quadratic irrationa
研究循环连分数与二次无理数关系问题 ,首先证明了任何循环连分数皆为二次无理数 ,并给出化循环连分数为二次无理数的一般方
DES and AES method for data encryption are discussed in this paper,and the analysis of security is also given,then an improved scheme based on irrational numbers is proposed.
首先介绍数据加密标准(Data Encryption Standard,DES)和高级加密标准(Advanced Encryption Standard,AES),并对其安全性进行分析,然后提出基于无理数的DES加密方案。
The integration by second substitution is an important method of calculating indefinite integral,it has a certain application,it usually applies to calculate some integrals of irrational function.
第二换元积分法是求函数不定积分的一种重要方法,具有一定的适用范围,对某些无理函数的积分的求解通常使用该方法。
It is difficult to find the solutions to some complex irrational functions and even worse, there is no solutions to them.
有些比较复杂的无理函数的积分,用传统的方法求解有困难,甚至无法积分出来,而用组合积分法可以巧妙地解决无法积分的问题。
By describing states Euler s transformation of indefinite integral of irrational function,the author analyses what is Euler s transformation through Choosing Q(t) ,and reveals the fundamentals of Euler s transformation.
阐明了求无理函数不定积分的欧拉变换 ,通过选取Q(t)的方法分析了欧拉变换的来龙去脉 ,揭示出欧拉变换的本质 ,减少了教学难
The paper points out the equivalence proprty of six formulas that have relation with irrational number e and proves them.
指出与无理数e有关的六个式子的等价关系并予以证明。
Of or relating to an irrational number.
无理数的无理数的或与无理数有关的
any rational or irrational number.
有理数和无理数的总称。
Can an irrational number to an irrational power be rational?
一个无理数的无理数次方是否有可能是有理数？
Analytical formula of one-to-one correspondence between irrational number set and real number set;
无理数集与实数集的一一对应解析式
Irrational Compression: A Conception of Compressing Mass Files Utilizing the Characteristics of Irrational Numbers;
无理压缩——利用无理数特性压缩大型文件的设想
He produced his beautiful treatment of irrational numbers.
他对无理数作了出色的处理。
A certain constant has been adopted as a standard to use in exponential functions. It is an irrational number.
人们采用某常数作为指数函数中的底，这个常数是无理数。
The Physical Meaning of Irrational Number e in Circuit Basic Theory;
无理数e在电路基本理论中出现的物理意义
The logical definition of the irrational number is rather sophisticated.
无理数的逻辑主义是颇有些不自然的。
There is no need to go through the algebraic details.
无需进行代数处理。
incalculable riches; countless hours; an infinite number of reasons; innumerable difficulties; the multitudinous seas; myriad stars; untold thousands.
数不清的财富；无数的时间；无数的理由；数不清的困难；浩瀚的大海；数不清的星星；无数。
The or=# cc0066> sum total of innumerable relative truths constitute absolute truth.
无数相对真理之总和，就是绝对的真理。
In the endless flow of absolute truth there are innumerable relative truths.
在绝对真理的长河中有无数相对真理。
Research on Digital Signal Processing of Passive Wireless SAW Sensors;
无源无线声表面波传感器的数字信号处理研究
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配置管理器: 提供的逻辑配置参数无效。
"Configuration Manager: A required pointer parameter is invalid.
"配置管理器: 需要的指针参数无效。
"Configuration Manager: The supplied range list parameter is invalid.
"配置管理器: 提供的范围列表参数无效。
"Configuration Manager: The device instance handle parameter is not valid.
"配置管理器: 设备实例句柄参数无效。