无理数

The Greek mathematician merely regarded that number as an interesting irrational number, in connection with the middle and extreme ratios.

一书中，希腊数学家仅仅是把这个数当成一个与外比和中比相关的有趣无理数。

For thousands of years,people have been struggling to figure out the actual value of pi,but found that pi is an irrational number,in other words,it cannot be expressed as a finite decimal.

为数以万计几年，人们试图推测出pi的实际价值，但是发现pi是一个无理数，换句话说，它不能作为一个有限小数被表达。

First, let's consider the number seven: In mathematical terms, it is an irrational number, i.e., a number that cannot be represented as a simple fraction, a number that is "uncountable." To the mind of the symbolic thinker, the number is associated with all that is strange and unusual.

首先，让我们认识一下数字7；在数学上，它是一个无理数，也即除以它的结果不能得到一个单一的数字，除以这一数字将得到一个无穷数列，对一个符号象征思想家的内心来说，这个数字会让人联想到所有古怪的，不寻常的事物。

In the beginning of quadratic equations such as, x2-2=0,forced upon us the irrational number, and led to the study of methods of operating with radicals, and to the solution of radical equations.

而二次方程，例如x2-2=0的出现，让我们不得不接触无理数，同时也带来了对于求根方法，以及根方程的研究。

The decimal form of an irrational number is a non-repeating and non-terminating decimal number.

一个无理数写成小数形式是无限不循环的。

Alice will go on to meet the Queen of Hearts, a "blind and aimless Fury," who probably represents an irrational number.

爱丽丝继续去会见红心皇后，"失明和无目标的狂怒"，她可能代表的是无理数。

Moreover, by discussing the role of geometrical proof in Ars Magna and Cardano's attitude on irrational number, negative number and imaginary number, the paper points out that the role of geometry in Renaissance algebra had been tending weaker.

同时，通过考察几何证明在《大术》中所起的作用以及卡尔达诺对无理数、负数和虚数的处理，指出在文艺复兴时几何在代数学中的作用己逐渐减弱。

However, when the frequency ratio is an irrational number, the level density is oscillating, when the magnetic flux is added, the amplitude of the oscillation decreased.

然而，当频率比是无理数时，能级密度发生振荡，当加上磁通量后，振荡减小。

WT9.BZ: Theory of generalized tautology in logic system , W and W k is generalized and applied to Lukasiewicz logic system. The main results are as follows: congruence about on set of logic formulas F has been obtained in the system; it is proved that in this system, for any irrational number α, there does not exist accessible α-tautology; and for any real number α, there does not exist accessible α+-tautology; and the relation theorems have been given between categori...

将逻辑系统 W ，W ，Wk 中的广义重言式理论进行推广并应用到Lukasiewicz逻辑系统中，主要结果是：得到了逻辑公式集F在该系统中关于﹁同余的分划；证明了在该逻辑系统中对每个无理数α而言，不存在可达α重言式，且对每个实数α而言，不存在可达α+重言式；给出了广义重言式、广义矛盾式各类之间的关系定理。

Meanwhile, we proved the unboundedness of solutions of Lienard equations with weaker damping terms when the rotation number is irrational. We still obtained the unboundedness of solutions of Lienard equations with asymmetric nonlinearities at resonance.

另外，还通过应用Birkhoff遍历定理证明了当旋转数为无理数时，弱阻尼的Lienard方程无界解的存在性；同时，证明了共振条件下具有不对称非线性项的Lienard方程无界解的存在性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。