Pure mathematics is not closely distinquished form applied mathematics;

纯粹数学与应用数学密不可分；

In the last two decades of his life, he Shifted pure mathematics areas from applied mathematics areas.

在其人生最后二十年间，从纯数学领域转向应用数学领域。

He gets thrown off by pure mathematics, but he's good at anything involving spatial relationships and design.

他的纯数学一塌糊涂，但是他却擅长一切包含空间关系和设计的东西。

For my own part I have never once found myself in a position where such scientific knowledge as I possess, outside pure mathematics, has brought me the slightest advantage.

从我个人的角度来说，除了纯数学之外，我从来没有发现获取的其他科学知识带给我丝毫的利益。

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。