算术的

As in Volume 2, where I found to my delight that the basic principles of elementary probability theory and number theory arose naturally in the study of algorithms for random number generation and arithmetic, I learned while preparing Section 7.2.1 that the basic principles of elementary combinatorics arise naturally and in a highly motivated way when we study algorithms for combinatorial generation.

如同在第二卷中那样，在那里我高兴地发现，初等概率论和数论的基本原理很自然地出现在关于随机数生成和算术的算法的研究中。而当我准备编写7.2.1小节时，我注意到，当我们研究组合生成的算法时，初等组合学的基本原理自然地并以高度带激励的方式出现。

Bit Arithmetic 64位算术运算 Modern 32-bit software frequently uses larger-than-32-bit integer data types for various purposes such as high-precision timers, high-precision signal processing, and many others.

现代32位的软件在表示高精度的计时器，进行高精度信号处理，及其他一些情况下经常使用高于32位的整型数数据类型。

In a January, 1994 Mathematics of Computation article by Richard Crandall and Barry Fagin titled "Discrete Weighted Transforms and Large-Integer Arithmetic", the concept of using an irrational base FFT was introduced.

一节(译注：中文版第267页)。1994年1月，由理查德·克兰多尔和巴里·费金合著的题为"离散加权变换和大整数算术"的计算数学文章，引入了无理底数 FFT 的概念。

As to arithmetic operations of fuzzy numbers,the arithmetic rules of fuzzynumbers based on generalized t-norms are introduced,which extend greatlythe implication of the arithmetic rules of noninteractive fuzzy numbers andgeneralize the arithmetic rules of fuzzy numbers of Dubois-Prade.

在模糊数算术运算方面，给出基于广义t-模的模糊数算术运算规则，该规则极大地拓展了非相互作用模糊数算术运算的范围与含义，对Dubois-Prade意义下的模糊数算术运算是一个很好的推广。

Development can be seen in terms of an increasingly sophisticated understanding of numerosity and its implications, and in increasing skill in manipulating numerosities.

从对数量及其意义理解深刻性的增加，操作数量熟练程度的增长来看出算术的发展。

Intuitionists can accept expressibility of formal system and recursive functions, but will deny any concept of truth outside provability of first order arithmetic.

本文引入了直觉主义的思想，对维特根斯坦的评论进行了新的解读，指出哥德尔证明中所基于的一阶算术的解释是模糊的。

The arithmetic advanced people who had studied all knows , the integral concept is four key: Carve up similar summation taking a limit.

学习过高等算术的人都知道，定积分的概念是四个关键：分割——近似——求和——取极限。

D Whyte, in his "analysis Easy"(analyticem is Inartem agoge,1591) works, the first systematic use of symbols of unknown value calculation, Operators made with a number of symbols of the difference between the provisions of the algebra and arithmetic boundaries.

韦达在他的《分析方法入门》（Inartem analyticem isagoge，1591）著作中，首次系统地使用了符号表示未知量的值进行运算，提出符号运算与数的区别，规定了代数与算术的分界。

The nature of data redundance in image and the fundamental approaches to compression are analyzed briefly.

提出和讨论了算术编码的分析性质，包括算术编码的区间套性质、算术编码的收敛性以及串的算术编码数和算术编码映射的概念。

This page has explained the logic and arithmetic of the Loring Allocation Rule.

本页面已经解释的逻辑和算术的罗林分配细则。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。