数学的本质在于它的自由。
在设计过程中，我们确保本文展示的所有设计都遵循了数学的本质本性，也就是展现秩序、对称和极限。
During the design process we made sure that all of the designs shown in this article are essentially mathematical in nature; that is, they exhibit order, symmetry and limitation.
数学不仅仅是教人如何去算得更快，诚然速算也是一种技巧，但数学的本质是教人如何去描述这个世界，如何去思考。
Mathematic not only teach you to calculate more and more quickly, although calculating quickly is also a skill, but the essence of math is teaching people to describe the world and think of it.
对希腊人来说，控制音乐的数学原理同样也控制着宇宙和人的性格（即人格的本质）。
For the Greeks, the same mathematical principles that govern music also govern the universe as well as the human character, the essence of personality.
他们的文明本质上属于石器时代的文明。他们发明出了最为先进的天文学和数学知识。
Theirs was essentially a Stone Age civilisation, and yet one that developed the most advanced astronomy and mathematics.
我打算谈谈物质的，形而上学的和数学的——物质和精神的宇宙的：——关于它的本质，它的起源，它的成因，它现状和它的未来。
I design to speak of the physical, Metaphysical and Mathematical of the Material and Spiritual Universe: of its Essence, its Origin, its Creation, its Present Condition and its Destiny.
干涉效果是很多量子现象的重点，并在希尔伯特的数学理论中找到了本质的描述。
Such interference effects lie at the heart of many quantum phenomena, and find a natural description in Hilbert's mathematics.
如果你对用数学描述宇宙物理本质的研究足够深刻，你一定会对多元宇宙的存在持有自己的观点。
"You almost can't avoid having some version of the multiverse in your studies if you push deeply enough in the mathematical descriptions of the physical universe," he says.
从量子理论的数学说到人类思考的本质似乎有些荒唐。
It may sound preposterous to imagine that the mathematics of quantum theory has something to say about the nature of human thinking.
对于验证飞机性能的数学模型这一主要目的来说，这是必须的，但决不是最本质的。
This is desirable but by no means essential to the primary objective of validating mathematical models of aircraft behaviour.
大部分数学教育，对数学思考的本质和数学创造的过程而言，是一种讽刺。
Most mathematics instruction is a kind of satire on the nature of mathematical thinking and the process of creating mathematics.
数学应用意识本质上是一种综合的认识活动。
This paper thought the mathematics application sense was a comprehensive recognition.
数学思想是人脑对现实世界的空间形式和数量关系的本质的反映，是思维加工的产物。
Mathematical thought is the reflection of quantitative relations and spatial forms of reality in human brain, and it is the thought processing product.
数学本质是一个认识论的问题。
回顾了近年来国内几位知名学者对数学本质的一些讨论。
This paper briefly reviewed the discussions about "what is the mathematics essence" in recent years.
概括针对数学对象的本质属性和共同特征，具有两重性、过程性、层次性的特点。
Generalization is aimed at the essential attribute and common character of mathematics object, generalization has such character as duality, process, and gradation.
利用数学方法揭示了网壳结构失稳的本质。
The essential of the instability is showed by mathematics method.
本文以现代教育心理学为指导，探讨在数学教学中，为培养发散思维，该怎样深入数学问题的本质。
For training divergent thinking, the paper, guided by modern pedagogy and psychology, searches how we can extent to the essence of mathematics in teaching.
对数学问题的交叉关系和平行关系进行了讨论，并利用交叉关系和平行关系的方法解决具体问题，以能够达到更好地揭示问题的本质。
This paper tries to discuss the parallel and the cross relations of mathematics problems, and to solve them with the two relations so as to reveal the essence of the problems.
微积分研究的对象是函数，研究工具是极限，微积分概念的定义方式与以往学习的初等数学概念有本质的区别。
Functions are research objects of the calculus and limit is its research tool. The way to define the calculus concept differs distinctly from that of elementary mathematics.
这类事故其本质是统计性的，其事故次数及首次事故时间是可以用数学模型来表达的。
Such events are statistical in nature and the number of events and the time of first event may be expressed by mathematical mode.
准全息元数学模型是复杂开放系统的自组织原理模型，可体现复杂开放系统的所有本质特性。
Quasi-holographic-element model is the self-organization principle of the complicated systems, which embodies all essential characteristics of complicated and opened systems.
为了得到通用的优化模型，对动压轴承型线数学表达式的本质特点进行了研究。
In order to obtain a general optimization model, study on substantial characteristics of the mathematical expression of hydrodynamic bearings profiles was brought forward.
因此，本文从积分的角度对TCIA与传统的分区旅行费用法(ZTCM)的数学本质进行了详细的对比分析。
Therefore, the paper makes a detailed comparing analysis of TCIA and the mathematical nature of traditional zonal travel cost method (ZTCM) from integral viewpoint.
他认为，通过简洁优雅的数学方程就可以探究基础物理理论。到如今，在研究物质本质的弦理论中，这一思想得到了广泛的采纳。
His view that fundamental physics could be gleaned from elegant mathematics now permeates a whole field of inquiry into the reality of nature, string theory.
他认为，通过简洁优雅的数学方程就可以探究基础物理理论。到如今，在研究物质本质的弦理论中，这一思想得到了广泛的采纳。
His view that fundamental physics could be gleaned from elegant mathematics now permeates a whole field of inquiry into the reality of nature, string theory.
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