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A sequence of functions (fₙ), each from E to ℝ, converges uniformly to f: E → R if and only if for arbitrary small ε there is an index N such that whenever n ≥ N the graph of fₙ is in the ε-tube around
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The following pages on the English Knowledge use this file (pages on other projects are not listed):
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Added grey tube, modified strokes width to align nicely
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File:Uniform convergence.svg
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uniform convergence
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