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Mathematicians have a habit of using the same notation to denote many different concepts. An der Kaiserquelle schmeckte das eisen und schwefelhaltige Wasser erstaunlich gut. Certainly it's better motivated from first principles than the power series definition, even if the latter is easier to prove things about. Related 4. Etappe Bilder.

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This makes things unnecessarily difficult and can waste a lot of people's time as they are forced to guess what the text might say. The necessity of a proof depends very much on how each of those things is defined and the domain over which the variables may vary. So 2 questions really Do we need to prove this for such a basic property?

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Gut gerüstet in die berufliche Zukunft Berufsschule Abschlussfeier für Auszubildende aus dem ganzen Landkreis Bei einer Feier der Aula der Berufsschule in. $\begingroup$ @bobobobo: in other words, I think your confusion here is linguistic. You know there is an operation called exponentiation which satisfies x^{a+b} = x^a x^b, and the author is defining an operation which he calls exponentiation, so you assume it also satisfies x^{a+b} = x^a x^b.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. In this book I'm using the author seems to feel a need to prove. I take it as an axiom, but I actually don't know where that axiom is listed. For instance, if the original definition is given as. Mathematicians have a habit of using the same notation to denote many different concepts.

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