24 lines
772 B
Markdown
24 lines
772 B
Markdown
up:: [[suite de fonctions]]
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title::
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#maths/analyse
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---
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> [!definition] suite de fonctions convergente
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> Soit $(f_{n})$ une suite de fonctions de $I \subset \mathbb{R} \to \mathbb{R}$
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> On dit que $f$ **converge (simplement) vers $f$ sur $I$** ssi :
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> $\boxed{\forall \varepsilon>0, \quad \forall x \in I, \quad \exists \eta _{x} \in \mathbb{N}, \quad \forall n \geq \eta _{x}, \quad |f_{\eta _{x}}(x) - f(x)| \leq \varepsilon}$
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> ^definition
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> [!query] Sous-notes de `=this.file.link`
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> ```dataview
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> LIST title
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> FROM -#cours AND -#exercice AND -"daily" AND -#excalidraw AND -#MOC
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> WHERE any(map([up, up.up, up.up.up, up.up.up.up], (x) => econtains(x, this.file.link)))
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> WHERE file != this.file
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> SORT up!=this.file.link, up.up.up.up, up.up.up, up.up, up
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> ```
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