纯粹数学与应用数学密不可分；
Pure mathematics is not closely distinquished form applied mathematics;
宇宙的伟大建筑师现在开始以纯粹数学家的身份出现。
The great Architect of the Universe now begins to appear as a pure mathematician.
与动态分析方法相比，在静态分析中实际并没有任何执行行为：整个分析是建立在纯粹的数学模型基础上的。
In contrast to the dynamic analysis approach, in static analysis nothing actually gets executed: the whole analysis is based purely on mathematical models.
如果数学思想在某处等待着被发现，那么即使人类从未构想，一个纯粹抽象的概念也必须存在。
If the mathematical ideas are out there, waiting to be found, then somehow a purely abstract notion has to have existence even when no human being has ever conceived of it.
他们玩数字的游戏，所以他们都是纯粹的数学家。
And they play with Numbers, so they are pure mathematicians.
出于数学运算纯粹性的要求，这些模型都得把种群规模假设为无穷大。
For reasons of mathematical purity, they all assumed an infinite population size.
以后我会谈到作为游戏工具使用的数学。但现在我要写游戏数学的事，纯粹为了乐趣和数学之美的数学。
I will write later about math that is used as a tool in play, but now I am writing about math that is play — math done for no other purpose than the sheer fun and beauty of it.
数学科学呈现出一个最辉煌的例子，表明不用借助实验，纯粹的推理能成功地扩大人们的认知领域。
The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience.
通过简单的假定，由纯粹的数学论证推导出橡胶高弹性的储能函数公式，在橡胶大形变时，公式比统计理论的更能反映客观实际。
Based on simple hypotheses, the Mooney function of rubber elasticity can be obtained by means of pure mathematical analysis, which is more suitable for rubber elasticity in large elastic deformation.
这种保护理论是纯粹的数学虚构，从一开始就建立在抽象的基础上。
This tutelary theory is a pure mathematical fiction. From the start it has been founded on a formidable abstraction.
由于发动机工作过程比较复杂，很难用纯粹的数学关系推导出发动机的余热计算模型。
Due to the complexity of the engine working process, it is difficult to use a purely mathematical relationships derived from the calculation model of heat engines.
研究型大学的数学系划分成纯粹与应用部分包括哈佛大学和麻省理工学院。
Research universities dividing their mathematics department into pure and applied sections include Harvardand MIT.
相对纯粹的图形图像处理和数学计算则开发相应算法和模型。
Developing arithmetic and model for graphic and image processing and mathematical computation.
数学是纯粹研究数量的科学。
就我们目前的讨论来说，这些模型的关键在于它们本质上是纯粹的抽象数学模型。
The important point about these models, for our present discussion, is that they are basically purely abstract mathematical models.
纳什对合理性和纯粹想法的力量信心是极端，甚至对于一个非常年轻的数学家和甚至对于计算机的新年龄，隔开旅行 ， 和核武器。
Nash's faith in rationality and the power of pure thought was extreme, even for a very young mathematician and even for the new age of computers, space travel, and nuclear weapons.
此文把通常进位制的概念扩张成复数进位，且由复数进位给出了一类纯粹由数学定义引出的分形。
We first extend the concept of ordinary number system, and study the complex number numeration. Then we give an example of fractal by the complex number numeration.
他宣称，他通过长期、纯粹的对比训练的想法的能力是有限的，由于这些原因他认为他不可能通过数学方法完成。
He asserted, also, that his power to follow a long and purely abstract train of thought was very limited, for which reason he felt certain that he never could have succeeded with mathematics.
他宣称，他通过长期、纯粹的对比训练的想法的能力是有限的，由于这些原因他认为他不可能通过数学方法完成。
He asserted, also, that his power to follow a long and purely abstract train of thought was very limited, for which reason he felt certain that he never could have succeeded with mathematics.
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