弄清计算机与现代数学各自的特点及其相互促进作用，是正确理解“实验数学”意义的关键。
That an comprehending of the characteristic and each other promote role of computer and modern mathematics is key of making sense of experimental mathematics.
文中利用计算机实验数学的方法，结合理论讨论了几种收敛标准的等价性，构造了不同方法的分形图；
The authors study the equivalence of several criteria for convergence and construct their fractal patterns by the method of computer experimental mathematics.
本书详细介绍了数学的思维方式，包括持续的、按部就班的分析、实验和真知灼见。
This book presents the details that illustrate the mathematical style of thinking, which involves sustained, step-by-step analysis, experiments, and insights.
另一个类似的实验表明，在回答数学问题这一环节里，在海平面处和在12,000英尺处的酒精作用是一样的。
A similar experiment found that the impact of alcohol on subjects answering math problems was the same at sea level and 12, 000 feet.
另一个类似的实验表明，在回答数学问题这一环节里，在海平面处和在12,000英尺处的酒精作用是一样的。
A similar experiment found that the impact of alcohol on subjects answering math problems was the same at sea level and 12,000 feet.
近年来，多种关于交通模式的数学模型和实验测量都得出了一个相同的结论：一般来说发生拥堵都经历三个过程。
In recent years, various mathematical models and experimental measurements of traffic patterns have led to a consensus about the general kinds of traffic flows that can occur.There are three types.
这已经被大量的实验数据和数学计算严格证实。
This is backed up by a significant amount of experimental data and mathematical rigour.
他发现，但有一个例外，即当他和一个很懂数学的观众做这个实验的时候。
The one exception, he noted, was when he performed the experiment with a math-savvy audience.
量子电动力学(QED)已经在一个脆弱的数学基础上待了太久，它已经在预测实验结果上取得了巨大的成功。
While QED rests on a weak mathematical foundation, it has been extremely successful in predicting the outcome of experiments.
这个发现假设ANS的缺陷可能是导致实验组孩子们数学学习困难的原因。
This finding suggests that problems with the ANS may underlie math difficulties for children in this group.
在这项实验中，研究者请一些大学生参加一场数学考试，而考试内容他们以前从未接触过。
In the study, the researchers asked college students to take a math exam covering material they had never seen before.
灵长类动物已经被实验证明确实具有数字概念，而且无需人类对其加以引导，那么更加原始的动物也有这样的数学”才干”吗？
Experiments have confirmed that primates can indeed perform their numerical feats without these clues, but what about the more primitive animals?
Nowak 解释说，“数学帮助我们看到了什么才是最重要而最有趣的实验。
Math helps us to see what the most crucial and interesting experiment is.
“虽然新的工作记忆的研究是以前的研究为基础，但它却得出了一个较精确地数学实验数据，即3到4个事件。”科恩说道。
The new working memory study builds on previous research, but provides the most rigorous mathematical test of the three- to four-item estimate, Cowan said.
AlanTuring在1936年发明可编程计算机(请参阅参考资料)是作为一种思想实验以证明某些数学问题不可计算。
Alan Turing invented the programmable computer in 1936 (see Resources) as a thought experiment to show that certain mathematical problems were not computable.
现在，Choptuik和普林斯顿大学的FransPretorius用计算机模拟碰撞，这些碰撞实验使用来自包括广义相对论里极度复杂的数学数据。
Now Choptuik and Frans Pretorius of Princeton University have simulated such collisions, including all the extremely complex mathematical details from general relativity.
在第二个实验中，39名本科学生在数学测试的前几天就回答了自己对于上帝的看法。
In a second experiment, 39 undergraduate participants were surveyed on their views of God several days before the math test.
在另一些实验中，参加者被要求做一些数学题以为之后的测试做准备。
In other experiments, participants were given math problems to practice for an upcoming test.
在该实验中，受试者会接受数学测试。
In this experiment, the subjects were given a mathematics test.
虽然它很容易用数学来建模，但在实验室里实现这个系统则让人颇费思量，因为里面缺乏了能帮助组装单体的酶和模板。
Although it is easy to model mathematically, making the system in the lab is tricky because it starts without any enzymes or templates to help the monomers assemble.
一开始，生态学家建立简单的数学模型和微观实验室，他们搞砸了。
In the beginning, ecologists built simple mathematical models and simple laboratory microcosms. They were a mess.
来自贝洛克实验室的一项研究发现，那些在数学测验前花10分钟写下自己的关注点的学生要比未这样做的学生多得15%的分数。
A study from Beilock's lab found that students who spent 10 minutes before a math test writing about their concerns did 15 percent better than those who had not.
建议要有生物学、化学和数学基础，拟定的培训课程包括临床、实验室和课堂教学。
A base of biology, chemistry, and math courses are advised, and program coursework will include clinical, laboratory, and classroom instruction.
在实验中，他们要求试验者做更多的数学题（这些题还是会引起试验者们的心理起伏），同时，研究者们还是会对试验者们的表现指指点点。
They asked participants to complete more maths tests—and also tests in which they mentally rotated an object—while investigators chided them about their performance.
但这并非第一次科学家移民潮，苏联解体之后就有大量的科学家离开俄国，许多数学家、物理学家、生物学家们把整个实验室都搬到了美国。
There was a massive wave of scientists who left Russia after the fall of the Soviet Union. Mathematicians, physicists, and biologists took whole laboratories to the United States.
克劳德·沙农是贝尔实验室的一个数学天才和工程师，他建立了信息加工理论，该理论认为多次重复弥补了噪音的影响。
Claude Shannon the genius mathematician and engineer for Bell LABS who founded information theory showed how redundancy-repeating the message — compensates for noise.
Brown应用了数学和逻辑模型来建立这门语言，但结果很不幸实验失败了，实验对象在学习这门一个人造出来的语言时感到无比困难。
Unfortunately for Brown, who used mathematic and logic models to build the language, the experiment failed in that people actually had a very difficult time learning the artificial tongue.
1901年，意大利数学家马里奥·拉扎里尼对该理论进行了实验尝试，他一共掷出了3408根针，得出的π值为3.1415929…，这个数值准确到小数点后六位。
The theory was put to the test in 1901 by Mario Lazzarini, a mathematician who dropped 3408 needles to get a value of 3.1415929…, correct to the first six decimal places.
1901年，意大利数学家马里奥·拉扎里尼对该理论进行了实验尝试，他一共掷出了3408根针，得出的π值为3.1415929…，这个数值准确到小数点后六位。
The theory was put to the test in 1901 by Mario Lazzarini, a mathematician who dropped 3408 needles to get a value of 3.1415929…, correct to the first six decimal places.
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