Complex Numbers and functions.

复数和函数。

Complex Numbers aren't just for scientists and engineers.

复数并非仅供科学家和工程师使用。

Complex Numbers are now displayed in Variable Monitor.

变量监测中可以显示复数。

It provides nearly 400 functions for doubles and complex Numbers.

它为双精度数和复数提供了近400个函数。

To engineers and scientists, complex numbers are a familiar concept.

而对于工程师和科学家来说，复数却是个司空见惯的概念。

We shall be dealing with vector spaces over either the reals or the complex numbers.

我们应处理向量空间超过要么雷亚尔或复杂的数字。

There is a brief discussion of two dimensional mechanics in terms of complex Numbers.

这里有关于用复数来讲二维力学的简短讨论。

It can deal with rational Numbers and complex Numbers. It has matrix support as well.

它可以处理有理数和复数，也支持矩阵。

We derive the addition formulas for sine and cosine from the arithmetic of complex numbers.

复数 算术 推导了正弦，余弦的加法公式。

These are the mathematical equations for complex Numbers, and they will work for complex or real Numbers.

这些都是复数的数学方程，他们将工作复杂或实数。

There's a module for manipulating lists, a module for concurrent programming, a module for dealing with complex numbers, etc.

有处理List的模块, 有处理并发的模块, 也有处理复数(complex number, 感谢roy_hu大牛提醒)的模块, 等等.

Specifically, complex Numbers became incomparable to other Numbers, including both other complex Numbers and ints, floats, and longs.

具体地说，复数无法与其他数字进行比较了，包括其他复数以及整数、浮点数和长整数。

The second method is much more elegant and powerful, a way of making the complex Numbers mathematically equivalent to the physical problem.

而第二种方法更精湛和实用，是把复数在数学上等价于物理问题的一种方法。

Although complex Numbers are fundamentally disconnected from our reality, they can be used to solve science and engineering problems in two ways.

尽管复数与我们的现实根本没有联系，复数可以用两种方式来解决科技问题。

Keeping in mind that complex Numbers are incomparable even to each other, while Unicode objects only have problems comparing to some strings, we can use.

请记住，即便是复数与复数之间也不能进行比较，而Unicode对象只在与某些字符串比较时会出问题。

Support for complex numbers is essential for any programming language used by mechanical and electrical engineers, as well as most scientific disciplines.

支持复数是机械和电子工程师，以及大部分科学工作者所使用的任何编程语言的基础。

This paper proves that residues at conjugate complex poles of rational fractional function with real coefficients are conjugate complex Numbers as well.

留数是复变函数中的一个极其重要的概念，其应用也非常广泛，本文证明了实系数有理分式函数的共轭复极点的留数也互成共轭。

Its numerical abilities are strong (particularly its ability to handle complex Numbers) although it is weak in handling character strings. It is of moderate difficulty to learn and use.

它的数值处理能力很强(尤其是处理复数的能力)，不过处理字符串的能力较弱，学习和使用这种语言的难度适中。

Mathematicians are familiar with this; common problems in algebra are more tractable when considered over the complex numbers than over the reals, even though complex arithmetic is more difficult.

数学家对此很熟悉；如果将代数中的常见问题考虑成复数而不是实数时，那么这些问题就更容易处理，尽管复数算法较难。

This is a fairly typical sort of complex data, in this case ordering something by date, time, and ID number by concatenating the Numbers into a single number that we can then sort numerically.

这是一个典型的复杂数据排序操作，在该例中，要对日期、时间和id号进行排序，这是通过将数字连接在一个数字上，然后对其进行数字排序实现的。

Numbers assume complex, multidimensional shapes in my head that I manipulate to form the solution to sums or compare when determining whether they are prime or not.

在我的大脑中数字呈现出复杂、多面的形状，所以我能从个别到整体熟练操控，在做对比时也能决定他们是否重要。

You can create complex objects using strings, Numbers, values, arrays, and other objects.

您可以使用字符串、数字、值、数组和其他对象创建复杂对象。

Monte Carlo Simulation is a technique that involves using random Numbers and probability to find solutions to complex problems.

蒙特卡罗模拟法是一项涉及使用随机数和概率来寻找复杂问题的解决方案的技术。

A Monte Carlo Simulation involves the use of random Numbers and probability to find solutions to complex problems.

蒙特卡洛模拟涉及了使用随机数和概率来找到复杂问题的解决方案。

In the crowded central regions of the galaxy, home to large Numbers of massive stars, supernovas are so common that the evolution of complex life-forms might be difficult if not impossible.

在银河系拥挤的中心区域存在着大量的大质量恒星，频繁的超新星爆发使得复杂生命形式的产生不是不可能就是极度困难。

So the arguments (the data) — whether they are floating-point Numbers, integers, character strings, or complex objects — are encoded into a format that can be transferred to the RPC receiver.

所以自变量(数据)-无论是浮点数、整数、字符串还是复杂对象-都要编码成可以传输到RPC接收方的格式。

The tax code is absurdly complex, and most people with complicated lives hand over their Numbers to accountants and hope for the best.

因为免税代码本就复杂到了荒谬的地步，而大部分为繁复生活而奔忙的人们，把他们赚得的每个子儿都交给了会计员，当然总是期望得到最好的结果。