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Pointwise and uniform convergence of ${\sum_{n=1}^{+\infty}\left (1+\frac{1}{2n}\right )^{4n^2}x^n}$

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#real-analysis #sequences-and-series #convergence-divergence #uniform-convergence #pointwise-convergence
152
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continuity, pointwise convergence, bounded imply uniformly bounded

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#real-analysis #continuity #upper-lower-bounds #pointwise-convergence
177
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Uniform convergence to a continuous function

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#real-analysis #continuity #uniform-convergence #pointwise-convergence
57
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Example which proves independence of Kuratowski's fourth closure axiom

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#real-analysis #sequences-and-series #general-topology #continuity #pointwise-convergence
262
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Convergence of Indicator Functions to $0$

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#probability #probability-theory #measure-theory #uniform-distribution #pointwise-convergence
157
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Weak convergence in a reflexive Banach space implies poitwise convergence

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#sobolev-spaces #pointwise-convergence #reflexive-space
185
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iid random variables visualization

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#probability #probability-theory #probability-distributions #random-variables #pointwise-convergence
107
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Question about using linearity in proof of an corollary of Fatou’s lemma

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#probability-theory #measure-theory #lebesgue-integral #limsup-and-liminf #pointwise-convergence
30
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Confusion About : Weak Convergence and Convergence over Finite Time Intervals and for Fixed Times.

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#real-analysis #functional-analysis #convergence-divergence #weak-convergence #pointwise-convergence
49
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Countability and convergence in topological spaces

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#general-topology #pointwise-convergence #nets
42
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Solutions of a first-order ODE

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#ordinary-differential-equations #continuity #pointwise-convergence
94
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Convergence on all the measurable set

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#integration #measure-theory #lp-spaces #cauchy-sequences #pointwise-convergence
264
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Example of convergence of pmf not implying convergence in distribution

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#probability-theory #random-variables #weak-convergence #pointwise-convergence
259
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Convex combination of a.s. convergent sequences

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#probability-theory #convergence-divergence #pointwise-convergence #almost-everywhere
1.5k
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Sequence of continuous functions on $[0,1]$ pointwise converging to an unbounded function

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#continuity #examples-counterexamples #sequence-of-function #pointwise-convergence

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