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:::The unique decomposition of a function as the sum of an even and an odd functions was stated in [[Even and odd functions]], but one should know that it was there for finding it. Thus I have restructured this article for making it visible, and I have create the redirects {{no redirect|Even–odd decomposition}}, {{no redirect|Even part of a function}} and {{no redirect|Odd part of a function}}. Thus your suggestion is now reduced to simply add somewhere in this article: {{tq|Hyperbolic cosine and sine can also be defined as the [[Even–odd decomposition|even and odd parts]] of the [[exponential function]].}} [[User:D.Lazard|D.Lazard]] ([[User talk:D.Lazard|talk]]) 17:56, 30 November 2018 (UTC)
::::Perfect! I like how you structured it, and the proof you provide is concise. I've edited the Definitions section for the hyperbolic functions to include very brief parenthetical remarks linking to your [[Even and odd functions#Even–odd decomposition|Even–odd decomposition section]]. I also fixed a couple minor typos in that section and added an indication that <math>f_\text{e}</math> is even and <math>f_\text{o}</math> is odd (it's implied but I think it's more clear this way).
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