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For those who are mathematically inclined, there is generally a definite aesthetic element to Significantly of mathematics. A lot of mathematicians mention the class of mathematics, its intrinsic aesthetics and internal elegance. Simplicity and generality are valued. There exists magnificence in a straightforward and stylish proof, like Euclid's proof there are infinitely many prime figures, As well as in a chic numerical strategy that speeds calculation, such as the quickly Fourier completely transform. G. H. Hardy in A Mathematician's Apology expressed the perception that these aesthetic considerations are, in by themselves, sufficient to justify the research of pure arithmetic.
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Moreover, shorthand phrases such as iff for "if and only if" belong to mathematical jargon. There exists a cause for special notation and specialized vocabulary: mathematics necessitates much more precision than each day speech. Mathematicians refer to this precision of language and logic as "rigor".
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