牛顿发展了现代微积分的基础数学概念和技术。
Newton developed mathematical concepts and techniques that are fundamental to modern calculus.
他天生就有领悟数学概念的能力，这让他成为了我们班最优秀的学生。
He has a natural feeling for mathematical ideas, making him the top student in our class.
显然，这些是一些抽象的数学概念。
Obviously, this is an abstraction of these mathematical concepts.
因此，数学概念具有过程和对象的双重性。
Therefore, the mathematics conception is dual in process and object.
上课时，他能深入洞察各种数学概念和图形。
While teaching he could penetrate deep into the concepts and patterns of math.
帮助学生学会总结，获得结构性的数学概念。
Help them learn to summarize and get constructive maths conception.
基本的数学概念的理解，例如采用随机性的概率。
The fundamental mathematical concept employed in understanding such randomness is probability.
本文的主要目的是确立相似关系的准确数学概念。
The major purpose of this paper is to establish a precise mathematical conception of similarity relation.
数学概念的研究长期以来备受数学教育工作者的重视。
Mathematics educators have always paid much attention to the research of mathematical concept.
首先，让我们简略地描述两个我打算在这个讨论中引用的数学概念。
First of all, let us briefly describe the two mathematical concepts I plan to invoke in this discussion.
高中数学概念具有抽象化、形式化、系统化、简明化的特点。
The characteristics of mathematics concepts of high school are abstractness, formalization, systematization, conciseness.
他说，专注于一个定理的感觉，就像“一个猎人，一个数学概念的收集者。”
The sensation of working on a theorem, he says, can be like being “a hunter and gatherer of mathematical concepts.”
在工作中能运用高等数学概念，如指数，对数，二次方程序和排列。
Ability to apply advanced mathematical concepts such as exponents, logarithms, quadratic equations, and permutations.
对于没有数学概念的新手来说，丹尼斯和埃克哈特的逻辑非常有道理。
Dennis and Eckhardt's logic makes good conceptual sense, even for non-math novice traders.
通过具体的实例探讨了数学全息方法在大学数学概念、定理教学中的应用。
Discussed the application of mathematical holography method briefly through the concrete example in the university mathematics concept as well as the theorem teaching.
引入变量极小不可满足（VMU）的数学概念来驱动抽象精化的验证过程。
A mathematical definition of variable minimal unsatisfiability (VMU) is introduced to drive this abstraction refinement process.
她选一些耳熟能详的歌曲如“彩虹之上”，再将歌词改写成基本的数学概念。
She has taken popular melodies, like Somewhere Over the Rainbow, and has changed the words into basic math concepts.
数学家把数学概念用来解决实际问题，就能剔除细节而揭示出其中的简要模式。
By applying its concepts to worldly problems the mathematician can often brush away the details and reveal simple patterns.
构件匹配依靠精确描述构件的语义，而形式规格说明基于严格的数学概念和理论。
Components matching depends on precisely describing the semantics of components, and formal specification is based on strict mathematic concept and theory.
您的孩子将享有与粉红塔的工作和取得的关键将是他们的数学概念的理解非常有用。
Your child will enjoy working with the Pink Tower and will be gaining key concepts useful in their understanding of math.
最近一项研究显示，相较于认真听课的人，有更多人是在不知不觉中学会数学概念的。
There's more to picking up math concepts than paying attention in class, according to recent research.
许多大学已将Maple作为教授数学概念的标准工具；该公司提供此软件的学生版和专业版。
Many universities have standardized on Maple for teaching mathematical concepts; the company offers student and professional versions of the software.
日常概念、概念意象、迁移等因素是数学概念转变学习中产生错误概念的主要原因。
The main cause of misconceptions in mathematics conceptual conversion included the factors: routine concepts, conceptual imagoes, and transfer.
数学概念的认知问题一直是数学教育心理学关注的课题，取得了大量有意义的研究成果。
The cognition of mathematical concept has always been concern of mathematics education psychologists, and great achievements have been made in different fields.
游戏的第一局会出现一些基本的数学概念，比如计算，几何或是逻辑，都可以同时出现。
The first round of games provide basic math concepts like calculations, geometry and logic at the same time.
本文研究的主要内容和结果：1.高层次数学概念的拓扑心理结构模式(TPS模式)。
Primary contents and results in this thesis: 1. Topology psychology structure of advanced mathematical concept (TPS).
此部分课程扩展了统计学中的基本数学概念。三个基本想法如下：随机变数，密度函数与期望。
This section of the course develops the mathematical concepts used in statistics. Three ideas are essential: Random Variable, Density Functions, and Expectations.
所以我们将有益于大多几何数学概念应付我们的颜色，例如准则、数积、投射、自转或者距离。
Therefore we will benefit of most of the geometric mathematical concepts to deal with our colors, such as norms, scalar product, projection, rotation or distance.
所以我们将有益于大多几何数学概念应付我们的颜色，例如准则、数积、投射、自转或者距离。
Therefore we will benefit of most of the geometric mathematical concepts to deal with our colors, such as norms, scalar product, projection, rotation or distance.
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