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Euler's identity
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==History== Euler's identity is a direct result of [[Euler's formula]], published in his monumental 1748 work of mathematical analysis, ''[[Introductio in analysin infinitorum]]'',<ref>Conway & Guy, p. [https://books.google.com/books?id=0--3rcO7dMYC&pg=PA254 254–255].</ref> but it is questionable whether the particular concept of linking five fundamental constants in a compact form can be attributed to Euler himself, as he may never have expressed it.<ref name=Sandifer2007>Sandifer, p. 4.</ref> [[Robin Wilson (mathematician)|Robin Wilson]] writes:<ref>Wilson, p. 151-152.</ref> {{quote|text= We've seen how [Euler's identity] can easily be deduced from results of [[Johann Bernoulli]] and [[Roger Cotes]], but that neither of them seem to have done so. Even Euler does not seem to have written it down explicitly—and certainly it doesn't appear in any of his publications—though he must surely have realized that it follows immediately from his identity [i.e. [[Euler's formula]]], {{nowrap|''e<sup>ix</sup>'' {{=}} cos ''x'' + ''i'' sin ''x''}}. Moreover, it seems to be unknown who first stated the result explicitly}}
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