做算术

I could not do simple arithmetic but through her I sensed that abstract mathematics was very much like music.

我当时连简单的算术也做不来，然而通过她我能感觉到，抽象的数学很像是音乐。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

Because the number of values is infinite, a true arithmetic mean is not possible.

由于这些值的数目是无限多的，所以不可能做实际的算术平均。

Although they have plenty of formal and informal opportunities to learn to count with words and do arithmetic, the innate mechanism on which skilled arithmetic is based may have developed atypically.

虽然他们有很多正规和非正规的学习机会来计数和做算术，但基于熟练算法的先天性机制可能有发展得不规则一句话，一辈子，一生情，一杯酒。举报肌间沟被颈外静脉挡住造成穿刺困难的处理？

We can use software to do most calculation but not use hardware. The most basic circuit doing calculation in the computer is binary adder. For example, we can use of addition to do subtracting, continuous adding to do multiplication, and continuous subtracting to do division.

在电脑的世界里，可以做任何数字系统且复杂的演算，但是大多数的演算都藉由软体来解决，而非用硬体直接进行各种演算，电脑的硬体或其他数位电路在做算术运算时，最基本的电路往往只有二进位加法器而已，至於减法可藉由补数的加法解决，乘法等於连续的加法，除法则是连续的减法，可见加法器在运算数位系统中的重要性。

Can you do the math: What is one hundred times four divided by the square root of a hundred?

你会做算术吗？ 100乘以4，除以100的平方根是多少？

When we are dealing with arithmetic, we should be very careful about minus.

当我们在做算术的时候，我们要特别小心负号。

Life is painting, a pict...

生活是绘画，不是做算术。

Life is paining a picture,not doing a sum

生活是绘画，不是做算术！

Life is painting a picture , not boing a sum.

生活是绘画，不是做算术。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失