Cauchy's theorem

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Cauchy? C'est un cauchemar!

~ Frenchman on Cauchy

In mathematics and especially the study of complex numbers, Cauchy's theorem is an important stagement about integrals of hologrammatic functions. Basically it states that if you walk round in a circle all day, you will get no work done. Alternatively, if it is uphill to school, then you have to walk downhill home (unless you live in a very hilly district, or get a lift home). The theorem is not applicable to walking to work, or driving to school.

The theorem applies to functions that begin with letters towards the beginning of the alphabet (including, fortunately, f; but excluding functions like y, which can be inconvenient) and is definitely wrong for functions that are Greek letters such as the Gamma function math.

Formally, it states that

math
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