1、

The wavelet analysis is applying widely to pure mathematics, applied mathematics, signal processing, speech recognition and synthesis, automation processing and image analysis etc.

小波分析已经广泛应用于理论数学、应用数学、信号处理、语音识别与合成、自动控制和图像处理与分析等领域。

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2、

who sought that kind of toughness, and it made a beautiful example of how the expansion of pure mathematics for its own sake had borne unexpected fruit in physics.

这是一个漂亮的例子,表明了纯数学的扩展如何在物理学上起到意想不到的作用。

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3、

His work established the foundation of history study of Chinese mathematics. His work also provided us guiding information to understand the relationship between pure mathematics and applied mathematics.

李俨先生对中国古代算学成就的整理,不仅奠定了中国数学史研究的基础,也为人们理解纯粹数学与应用数学、数学与科学、基础研究与应用研究的关系提供了线索。

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4、

It also analyzed the potential problems caused by mathematics itself, which are mainly due to the separation of pure mathematics and applied mathematics, and render to be separated from science and technology.

同时,分析了数学自身发展中暴露出来的一些问题,主要分析了纯粹数学与应用数学的分离导致数学对服务于科学这一主题的偏离。

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5、

The branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence.

讨论一个形体X中通过一对一相应转换成其他形体后保持不变的物质的纯数学分支。

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6、

Plato thinks that the world of reality is imperfect, and only the ideal world of pure mathematics is worth studying separately.

柏拉图认为现实世界是不完美的,唯有纯数学的理念世界才值得单独加以研究。

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7、

What justifies pure mathematics, with its ontology of abstract objects, is the indispensable part it plays as an adjunct of natural science.

纯数学,以及包含于其中的抽象对象的本体论,其正当性或证据在于,它们构成了自然科学的不可或缺的一个附件。

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8、

The pure mathematics of points and lines and curves and surfaces.

关于点,线,曲线和表面的纯数学。

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9、

However, the measure of the error between the limit solution and the true solution is not in the pure mathematics sense but in the mechanics sense.

不过极限解和真解之间差别的度量不是纯数学意义的而是在力学意义下的。

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10、

What he had done was to combine such a naive mechanistic picture of the mind with the precise logic of pure mathematics.

但艾伦所做的是,用精确的纯数学逻辑,将那种朴素的大脑的机器模样给描绘出来了。

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11、

Nobody can ever say that Einstein is not a fantastic mathematician because at that moment the problem is distilled into pure mathematics.

没有人说爱因斯坦不是一位神奇的数学家,因为在那一刻问题被净化成纯粹的数学。

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12、

He was more fortunate than Alan in that his chief interest, the theory of numbers, fell cleanly within the classical framework of pure mathematics.

在研究兴趣上,他比艾伦幸运,他喜欢数论,干净地沉浸在纯数学的经典框架里。

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13、

The introduction of Domain theory is originated from two different kinds of background: one is the study of functional language in the theoretical computer science, the other is the study of pure mathematics.

Domain理论的提出来源于两个不同的背景:一个是理论计算机中的函数式语言的研究,一个是纯数学的研究。

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14、

When the resources of pure mathematics had been fully exploited, there might still remain a formula, or system of equations, into which actual numbers had to be substituted.

即使充分利用了纯数学,但数论问题最终仍然有可能需要代入某些方程系统。

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15、

Wavelet analysis is another a shining example in perfectly combining pure mathematics with applied mathematics after Fourier analysis.

小波分析是继Fourier分析之后纯粹数学和应用数学完美结合的又一光辉典范。

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16、

As an ancient based number theory, the mathematical subject in a very long time belongs to a kind of pure mathematics.

基础数论作为一门古老的数学学科,在很长时间内都属于一种纯数学。

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17、

Though Pure Mathematics has led to useful discoveries, much of the impetus has come from the physical sciences.

虽然纯数学曾导致一些有用的发现,但是很多推动力来自物理科学。

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18、

In February 1931 he acquired G.H. Hardy's Pure Mathematics, the classic work with which university mathematics began.

1931年2月,他被G.H.哈代录取,学习纯数学,这是大学数学的经典基础。

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19、

Shaun Wylie and others could be relied upon to do any pure mathematics which arose.

肖恩·怀利和其他人全心投入到纯数学的研究。

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20、

The branch of pure mathematics dealing with the theory of numerical calculations.

有关数字计算理论的纯数学分支。

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