19 lines
453 B
Markdown
19 lines
453 B
Markdown
---
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alias: [ "additive", "additivité" ]
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---
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up:: [[application]]
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title:: $f(x+y) = f(x) + f(y)$
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sibling:: [[application sous-additive]]
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#s/maths/analyse #s/maths/algèbre
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---
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> [!definition] Application additive
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> Soit $f$ une application de $E \to F$
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> $f$ est *additive* ssi :
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> $\forall (x, y)\in E^{2}, \quad f(x+y) = f(x) + f(y)$
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^definition
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# Propriétés
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- Une application additive est toujours [[application sous-additive|sous-additive]] |