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。
Though most of this material is not very complex, it can take some time to fully understand the way XML is used in various applications and the benefits it offers.
虽然这份材料的大部分并不十分复杂，但完全理解XML在各种应用程序中的用法和它所提供的优点还是要花一些时间。
Though the code can be a bit long, it’s a good way to launch any complex tasks where the user needs to see the results right away.
虽然这样代码可能有一点长，但是在用户需要马上看到结果的地方执行任何复杂任务是一个好办法。
Though this file is relatively simple, longer log files can be very complex and cumbersome to read and analyse.
这个文件相对简单，但是长的日志文件会非常复杂并难于阅读和分析。
Though it sometimes happens in complex and hidden ways, everything that takes place in the public sphere eventually influences and shapes the private sphere.
尽管有时候以一种复杂和隐蔽的方式发生，在公共领域发生的一切最终都会影响并干预私人生活。
Though built to study the smallest known building blocks of all things - known as particles - the LHC is the largest and most complex machine ever made.
大型强子对撞机虽然是用来研究构成一切物体的已知最小单位——粒子——，但它本身却是世界上有史以来最大、最复杂的机器。
Though his comments are limited to that case and not intended to provide general guidance, they nevertheless shed some light on a hugely complex and sensitive issue.
尽管他的分析只针对本案，无意提供普适性的指导意见。但这些分析无疑为这一异常复杂和敏感的问题提供了一个清晰的思路。
Most projects, though - especially ones that have been hanging around unfinished for ages - are more complex.
尽管很多的计划——特别是那些很多年都没有完成的——更加复杂。
The real point, though, is that fitting a dozen complex stories into a single analytical straitjacket is a nonsense.
尽管关键在于，将一打复杂故事塞入单一的分析情境本身是毫无意义的。
Where, though, is knowledge stored in the complex brains of mammals?
尽管如此，哺乳动物复杂的大脑中知识究竟存在何处？
The human brain, though vastly more complex than the worm's, USES many of the same components, from neuropeptides to transmitters.
尽管人脑比蛔虫大脑复杂多了，但是从神经肽到发射器的成分都相似。
This very simple application could be easily extended to become a very sophisticated and complex one, though the process to code, test and debug it would be similar.
您可以很容易地将这个非常简单的应用程序扩展为一个非常复杂的应用程序，但它们的编码、测试和调试的过程却是相似的。
More interestingly, though, all four of these new complex types also allow for wildcard attributes, as shown in Figure 10.
更为有趣的是，所有四个新的复合类型都允许通配符属性，如图10所示。
Our “program” is so much more enormously complex, though, that we might like to define “thinking” in terms of our creativity in literature, art, science and technology.
我们大脑的程序极其复杂，我们或许可以从人类的文学、艺术、科学和技术上的创造力这个 角度给“思维”下定义。
Once you move to complex applications, though, the requirements get tougher.
但是，对于复杂的应用程序，需求就变得严格起来。
Notice that this method does NOT occur anywhere in the complex data type definition, even though it is public.
请注意，尽管此方法是公共的，但它不会出现在复杂数据类型定义中。
In case of additional information required from the system (the environment), the process is a bit more complex though.
对于需要系统(环境)提供更多信息的情况，过程有点儿复杂。
It's an object, though a complex one, which consists of thousands of other objects such as the engine, wheels, steering, seats, body, and thousands of different parts and machinery.
汽车是一个很复杂的对象，由成千上万的其它对象组成，如发动机，车轮，方向盘，车座，车体等等其他不同的部分或部件。
It is here, though, that a common question is asked: How do you write the query expression to get the correct node from an arbitrarily complex DOM?
但是，这里经常有人提问这样一个问题：如何编写查询表达式才能从任何复杂的DOM中获取正确的节点？
Technically that might act as a deterrent to some who are otherwise willing to pay bribes though it also makes for a very complex environment in which to do business.
就事论事地讲，这可能会起到遏制人们行贿的作用，只是它也构成了一种非常复杂的经商环境。
A word of caution though: for every complex problem there's a simple solution... and it's wrong.
不要以为“所有复杂的问题都有一个简单的答案”是真理。
However, when describing complex data, a few of the XML schema concepts are simplified, though it still has the ability to preserve all information from an XML schema.
但是在描述复杂数据时，一些XML架构概念经过简化，不过仍然能够保存来自XML架构的所有信息。
Most human traits are controlled by multiple genetic factors, and knowledge about their complex workings, though accelerating, is incomplete.
大部分人类的特征都是由多个基因因子共同作用控制的，而对他们复杂的作用机制，虽然人们进步很大，也还是不能完全了解。
Exactly what these other factors are and how they interact with warfare are things that Fukuyama finds too complex to describe in any general way, even though he tries in many contexts.
到底这些“其它因素”是什么以及这些因素是如何与战争相互作用促成了国家的形成？ 作者认为这个问题太过于复杂以至于不能用一种通用的方式来描述，尽管他在不同的地方作了很多次的努力。
Google doesn't disclose the complex algorithm by which it ranks search results, though that doesn't stop news outlets (including this one) from trying to figure it out.
Google没有公布这个复杂的算法，它能将搜索结果分类，尽管它不能阻止新闻媒体(包括这篇)识破其庐山真面。
If you're developing complex portlets, though, you may want to test smaller pieces of your code.
不过，如果您要开发复杂的portlet，可能就需要测试小块的代码。
"Every superhero needs his theme music, " he says on "POWER", and though he's far from the virtuous paragons of comic book lore, he's no less complex.
Everysuperheroneedshisthememusic"（“每一个超级英雄都需要他的主题曲），他在“POWER”上说，虽然他远远不是漫画传说中美德的楷模，他却并非不那么复杂。
What happens, though, when you are interested in more complex information such as a Web service a company provides?
尽管如此，当您对更复杂的信息(比如公司提供的Web服务)感兴趣时，又会有什么事情发生呢？
In stark contrast to the claims in the literature and the media we found very little evidence of the superiority of unconscious though for complex decisions.
与文献和媒体上所宣称的完全相反，我们几乎没有发现无意识思考对复杂决策显现出优越性的证据。
In stark contrast to the claims in the literature and the media we found very little evidence of the superiority of unconscious though for complex decisions.
与文献和媒体上所宣称的完全相反，我们几乎没有发现无意识思考对复杂决策显现出优越性的证据。
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