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Reverted 1 edit by 2A01:599:60E:439F:27A4:165:15E:57CC (talk): A definition is not a theorem, and this theorem is the object of a section of this article |
m →Euler's theorem: small grammatical error |
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The converse is proved by integrating a simple [[differential equation]].
Let <math>\mathbf{x}</math> be in the interior of the ___domain of {{mvar|f}}. For {{mvar|s}} sufficiently close
<math display="inline"> g(s) = f(s \mathbf{x})</math> is well defined. The partial differential equation implies that
<math display=block>
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