![MathType on Twitter: "When studying function sequences, pointwise convergence is not enough to ensure that sequences of continuous functions have a continuous limit. Uniform convergence is necessary to maintain this basic property, MathType on Twitter: "When studying function sequences, pointwise convergence is not enough to ensure that sequences of continuous functions have a continuous limit. Uniform convergence is necessary to maintain this basic property,](https://pbs.twimg.com/media/D0QrGURWsAAsarV.jpg:large)
MathType on Twitter: "When studying function sequences, pointwise convergence is not enough to ensure that sequences of continuous functions have a continuous limit. Uniform convergence is necessary to maintain this basic property,
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On the Uniform Convergence of Fourier Series - Morgan - 1936 - Journal of the London Mathematical Society - Wiley Online Library
![Sam Walters ☕️ on Twitter: "The #Lebesgue Dominated Convergence Theorem (circa 1908). What I like about it is we don't need the stronger uniform convergence at each point, but merely pointwise convergence Sam Walters ☕️ on Twitter: "The #Lebesgue Dominated Convergence Theorem (circa 1908). What I like about it is we don't need the stronger uniform convergence at each point, but merely pointwise convergence](https://pbs.twimg.com/media/D_JsssEVUAA1Mto.jpg)
Sam Walters ☕️ on Twitter: "The #Lebesgue Dominated Convergence Theorem (circa 1908). What I like about it is we don't need the stronger uniform convergence at each point, but merely pointwise convergence
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CS485 Lecture Notes - Summer 2017, Lecture 5 - Independent And Identically Distributed Random Variables, Uniform Convergence, Vaccinia
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