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{wiki=Uniform_convergence}

Uniform convergence is a concept in mathematical analysis that pertains to the convergence of a sequence (or series) of functions.


Uniform convergence

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= Converges uniformly
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A sequence of functions $f_n:X\to Y$ converges uniformly when one index $N$ makes $f_n(x)$ close to the limit simultaneously for every $x\in X$.


Uniform convergence

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Uniform convergence

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