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up:: [[distances particulières]]
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#maths/algèbre
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#s/maths/algèbre
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![[distance cordale 2024-09-09 10.55.20.excalidraw]]
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> [!idea] Distance induite de la distance cordale
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> [!idea] [[distance induite]] de la distance cordale
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> Soit $(\mathbb{R}^{2}, d)$ l'espace métrique muni de la [[distance cordale]]
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> Soit $A = S(0, 1) = \{ x \in \mathbb{R}^{2}\mid \|x\| = 1 \}$ le cercle de rayon 1 et de centre $0_{\mathbb{R}^{2}}$
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> Regardons $B_{A}(x_0, r) = B_{\mathbb{R}^{2}}(x_0, r) \cap A$
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