User bs_math

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Conceptual Issues in the Measure Theoretic Proof of Conditional Expectations (via Radon-Nikodym)

answered Sep 3, 2021 at 7:52

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Naturality of the counit of an adjunction

answered Mar 24, 2022 at 15:32

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How can I use Fubini's Theorem here?

answered Mar 25, 2022 at 18:51

4 votes

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Example compact operator on space of continuous functions

answered Oct 2, 2021 at 14:27

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Essential singularity and infinitely many zeros of a non-constant holomorphic function $f$

answered Mar 31, 2022 at 17:51

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How do I show that $\lim_{y\to\infty}\mathbb{P}(X\geq y)\cdot e^{(ky)}=0$ if $\mathbb{E}[e^{(kX)}]<\infty$ for some $k$?

answered Sep 7, 2021 at 13:07

3 votes

If $X_n$ converges to X in probability then $X_n$ converges to X a.s.

answered Jan 14, 2021 at 16:16

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Ultralimits vs limits of subsequences

answered Jan 17, 2021 at 19:37

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Bounded sequence converging in $L^2$ to a bounded limit?

answered Aug 10, 2021 at 17:36

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Computing adjoint of linear operator

answered Mar 31, 2022 at 20:52

2 votes

Cardinality and Countably Infinite

answered Oct 3, 2021 at 20:44

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Almost surely infinite random variable

answered Sep 12, 2021 at 12:53

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$A_1, A_2 \subset X$ with disjoint closures in $X$, $cl_X(A_1)$ compact $\Rightarrow A_1, A_2$ have disjoint closures in $X_{\infty}$?

answered Sep 3, 2021 at 20:51

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Chinese Remainder Theorem - unclear step in algorithm

answered Sep 7, 2021 at 11:36

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Find the total number of ordered pairs $(m,n)$ such that $m^2n=20^{20}$ where $m,n$ are positive integers.

answered Aug 27, 2021 at 10:09

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existence of certain Second-order partial derivatives

answered Sep 14, 2021 at 18:09

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existence of certain Second-order partial derivatives

answered Sep 15, 2021 at 8:01

1 vote

Independence for dice

answered Aug 19, 2021 at 9:22

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decreasing sequences on [0,1]

answered Aug 24, 2021 at 17:47

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Analytic extension of holomorphic function defined on the unit disk

answered Aug 8, 2021 at 9:47

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Minimum number of handshakes in the party

answered Aug 9, 2021 at 17:12

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Sufficient Conditions for Borel-Cantelli

answered Jan 15, 2021 at 9:54

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How to find the Taylor series of $\frac{1}{(x-1)^2}$ centered at $0$

answered Apr 1, 2022 at 8:09

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Boundedness of a sequence in Lebesgue space

answered Mar 26, 2022 at 10:45

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Prove identity using Ito's formula

answered Mar 26, 2022 at 15:38

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converging sequences in new topology

answered Mar 26, 2022 at 17:01

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Endomorphisms exercise explanation correct?

answered Sep 1, 2021 at 8:57

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Argand's inequality

answered Jan 16, 2021 at 17:40

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What should be the winning strategy for Bob?

answered Aug 25, 2021 at 14:05

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Fourier transform of $\frac{\sin{x}}{x}$

answered Feb 19, 2022 at 14:29

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31 Answers

Conceptual Issues in the Measure Theoretic Proof of Conditional Expectations (via Radon-Nikodym)

Naturality of the counit of an adjunction

How can I use Fubini's Theorem here?

Example compact operator on space of continuous functions

Essential singularity and infinitely many zeros of a non-constant holomorphic function $f$

How do I show that $\lim_{y\to\infty}\mathbb{P}(X\geq y)\cdot e^{(ky)}=0$ if $\mathbb{E}[e^{(kX)}]<\infty$ for some $k$?

If $X_n$ converges to X in probability then $X_n$ converges to X a.s.

Ultralimits vs limits of subsequences

Bounded sequence converging in $L^2$ to a bounded limit?

Computing adjoint of linear operator

Cardinality and Countably Infinite

Almost surely infinite random variable

$A_1, A_2 \subset X$ with disjoint closures in $X$, $cl_X(A_1)$ compact $\Rightarrow A_1, A_2$ have disjoint closures in $X_{\infty}$?

Chinese Remainder Theorem - unclear step in algorithm

Find the total number of ordered pairs $(m,n)$ such that $m^2n=20^{20}$ where $m,n$ are positive integers.

existence of certain Second-order partial derivatives

existence of certain Second-order partial derivatives

Independence for dice

decreasing sequences on [0,1]

Analytic extension of holomorphic function defined on the unit disk

Minimum number of handshakes in the party

Sufficient Conditions for Borel-Cantelli

How to find the Taylor series of $\frac{1}{(x-1)^2}$ centered at $0$

Boundedness of a sequence in Lebesgue space

Prove identity using Ito's formula

converging sequences in new topology

Endomorphisms exercise explanation correct?

Argand's inequality

What should be the winning strategy for Bob?

Fourier transform of $\frac{\sin{x}}{x}$