该研究未能证实舍伦贝格的发现，没有提出证据证明音乐课提高了数学和读写能力。
That study failed to confirm Schellenberg's findings, producing no evidence that music lessons improved math and literacy skills.
长期以来，舍伦贝格一直质疑科学研究所支持的这一说法：音乐教育提高儿童的抽象推理、数学或语言能力。
Schellenberg had long been skeptical of the science supporting claims that music education enhances children's abstract reasoning, math, or language skills.
瑞典国王奥斯卡二世在米塔格·莱弗勒本人的强烈要求下，已经设立了数学奖。
Sweden's monarch Oscar II, at the urging of Mittag-Leffler himself, had already endowed a prize for mathematics.
佩格尔教授补充说道：“我们掌握了词汇改变以及它们转变成其它词汇的信息，之后我们把这些信息转变成数学语言。”
"We have descriptions of the ways we think words change and their ability to change into other words, and those descriptions can be turned into a mathematical language," he added.
很难确定一个可信的原因说明诺贝尔确实怨恨米塔格·莱弗勒，甚至无法证明他和那位数学家有过任何接触。
It is difficult to establish a plausible reason why Nobel would have borne resentment towards Mittag-Leffler, or even to demonstrate that Nobel had much of any contact with the mathematician at all.
已经有40年历史的标准模型能将所有已知的粒子和除了重力之外的所有自然力联系起来，这个数学框架中缺少的那一块便是希格斯玻色子。
The Higgs is the missing piece in the Standard Model, a 40-year-old mathematical framework that links all the known particles and all of the fundamental forces of nature except for gravity.
格雷厄姆系数是一个在严谨的数学证明中被用到的最大的数值。
Graham's number is the largest number that has been used in a serious mathematical proof.
阿兰·图灵是一位数学家，他最著名的工作就是破译了德国的恩尼格玛密码。1952年，他被判“严重猥亵罪”并且被迫进行了化学阉割治疗。
Alan Turing, a mathematician most famous for his work on breaking the German Enigma codes, was convicted of 'gross indecency' in 1952 and sentenced to chemical castration.
在超对称的数学模型中，希格斯粒子的出现是自然而然的。
In the maths of supersymmetry, the Higgs emerges quite naturally.
也就是在这个月份的一天晚上，我，路德维格·霍勒斯·霍利，正坐在剑桥大学我的房间里埋头攻读数学著作，具体读的是本什么书，我记不大清楚了。
It was in this month something over twenty years ago that I, Ludwing Horace Holly , sat one night in my rooms at Cambridge, grinding away at some mathematical work, I forget what.
正如爱伦·伯格在书中写道，本书更主要是告诉大家，“数学就是让你被激情点燃的同时，又被理性包围”，而通过各种方式，我们实际上每时每刻都在接触数学。
Thee book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason" -and that there are ways in which we're all doing math, all the time.
正如爱伦伯格在书中写道，本书更主要是告诉大家，“数学就是让你被激情点燃的同时，又被理性包围”，而通过各种方式，我们实际上每时每刻都在接触数学。
The book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason"—and that there are ways in which we're all doing math, all the time.
格雷厄姆称，Kaplan的大多数学生偿还了贷款。
Mr Graham says the vast majority of Kaplan's students are meeting their loan obligations.
这本书的亮点在于，如同艾伦伦博格所写道的，“数学就是忽然触及火焰，又为理性所约束。
Thee book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason".
随着吉文人高度智慧化，他们完成了形式复杂的数学体系，以预测亚格杜尔星轨道上奇异的卫星系运动。
As the Givin developed intellectually, they perfected complex forms of mathematics to help predict the bizarre moon system orbiting Yag'Dhul.
听并圈出。陈小姐是一个数学/英语老师。格雷先生是一个音乐/语文老师。 再听一次并回答。 陈小姐是什么样的？ 格雷先生是什么样的？
Miss Chen is a maths / an English teacher. Mr Grey is a music / Chinese teacher. Listen again and answer. What is Miss Chen like? What is Mr Grey like?
采用了四阶龙格-库塔算法，将数学模型转换为可仿真的离散模型，并利用MATLAB7.0对其进行了计算机仿真。
The fourth order Runge-Kutta method is used to transform the mathematics model into discrete simulation model, using MATLAB7.0 simulation software to simulate its dynastic performance.
这本书的亮点在于，如同艾伦·博格所写道的，“数学就是忽然触及火焰，又为理性所约束。”
The book's larger point is that, as Ellenberg writes, "to do mathematics is to be, at once, touched by fire and bound by reason".
龙贝格积分算法：一种方法，把数学函数，在MATLAB环境中。
Romberg integration algorithm: a method for integrating mathematic functions, in MATLAB.
陈一文顾问注：路特格斯大学的亨利•伊万额克获得了美国数学学会每三年颁发一次的2002数论佛朗克•科尔奖。
Chen I-wan Note: Henryk Iwaniec of Rutgers University received the 2002 Frank Nelson Cole Prize in Number Theory presented every three years by the American Mathematical Society.
概念格自动布局的方法和相关的数学描述。
The Methodology of the automatic layout of the concept lattice and corresponding mathematic model.
本文通过具体实例说明棋盘数学中的两类问题：复盖和格点。
Two problems concerning chessboard mathematics are illustrated through some concrete examples in this article. They are covering problems and Lattice points.
本文利用一种新的数学模型-格点自动机来摸拟种群的演化过程，得到了一些有意义的结果。
This paper presents a kind of new mathematical model-cellular automata to simulate the process of population evolution and get some meaningful rellular.
亚里士多德是传统逻辑的创始人。弗雷格，德国著名的数学家，逻辑学家，是现代数理逻辑的创始人。
Aristotle was the founder of traditional logic, and G-Frege, a famous mathematician of German, was the founder of modern mathematical logic.
哈代-魏因贝格二氏定律建立了研究种群遗传的数学基础。
The Hardy-Weinberg law established the mathematical basis for studying heredity in populations.
虽然概念格和本体同为知识库，但前者立足于数学上的严谨，后者则追求应用上的便利。
Although both the concept lattice and the ontology are knowledge bases, however, the former stands on mathematical rigorous feature, and the latter pursues the convenience of application.
虽然概念格和本体同为知识库，但前者立足于数学上的严谨，后者则追求应用上的便利。
Although both the concept lattice and the ontology are knowledge bases, however, the former stands on mathematical rigorous feature, and the latter pursues the convenience of application.
应用推荐