To fix ideas and put the mathematical background in place, we start with some formal definitions.

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mathematical是英语中的形容词，英式发音为 [ˌmæθəˈmætɪk (ə)l]，美式发音为 [ˌmæθəˈmætɪk (ə)l]，词性标注为形容词，核心含义包括"与数学相关的"和"精确的、完整的"。

The field of statistics is a mathematical application that is employed for the collection and processing of data samples, using procedures based on mathematical methods such as, and …

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The precise form of mathematical functions describing these effects is established, while approximate methods for efficient computing of these functions are also proposed.

Rusin, Dave: The Mathematical Atlas （英文版）现代数学漫游。 Weisstein, Eric: World of Mathematics （页面存档备份，存于 互联网档案馆），一个在线的数学百科全书。

MATHEMATICS翻譯：數學。了解更多。Therefore, however complicated this simplicity might be for the human mind, mathematics is the master tool with which to seize the truth of the world.

It may be resolved, however, by accepting that mathematical knowledge comprises both images of knowledge and the body of knowledge.

Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.