List questions from self-learning

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119

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Soft question about the ideal number of exercises to do when self studying

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67

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Show that the coordinates of a random vector are iid

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78

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Proof Verification: Dimension of the subset of $2\times3$ matrix with rank at most 1 is 4

Published on 20 Apr 2023 - 9:19

111

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Generating function and finite difference.

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200

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Proving $ \cos x + \frac{2p}{\pi}\sin x \geq 1 - 2 \left(\frac{x}{\pi}\right)^p$ for $p>0$

Published on 22 Apr 2023 - 13:53

33

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Mean value theorem to show uniform convergence

Published on 23 Feb 2026 - 14:54

29

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Find a formula for forecasting of the sum of $n$ iid processes

Published on 28 Apr 2023 - 3:41

30

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Diffeomorphisms (fixing $p,q$) preserving the smooth structure on the class of all closed embedded surfaces $S \subset [0,1]^3$

Published on 25 Mar 2026 - 5:03

90

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Rediscovering euqation of line

Published on 29 Apr 2023 - 11:09

23

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$X \to Y \to Z$ PGM with $X,Y,Z ~ \text{MVN}(0,\Sigma)$. What is mutual information $I(X;Z)$? (Cover & Thomas 8.9)

Published on 23 Feb 2026 - 8:28

165

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Show that $I(t),0\leq t\leq T$ is a martingale

Published on 02 Apr 2026 - 19:22

28

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Functions that preserve the minimum inside an integral

Published on 28 Mar 2026 - 3:01

35

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I need a study guide for linear algebraic expressions.

Published on 09 May 2023 - 6:17

11

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factor a joint likelihood of independent parameter

Published on 21 Mar 2026 - 17:09

List Question

Summation : bounded in probability

Soft question about the ideal number of exercises to do when self studying

Show that the coordinates of a random vector are iid

Proof Verification: Dimension of the subset of $2\times3$ matrix with rank at most 1 is 4

Generating function and finite difference.

Proving $ \cos x + \frac{2p}{\pi}\sin x \geq 1 - 2 \left(\frac{x}{\pi}\right)^p$ for $p>0$

Mean value theorem to show uniform convergence

Find a formula for forecasting of the sum of $n$ iid processes

Diffeomorphisms (fixing $p,q$) preserving the smooth structure on the class of all closed embedded surfaces $S \subset [0,1]^3$

Rediscovering euqation of line

$X \to Y \to Z$ PGM with $X,Y,Z ~ \text{MVN}(0,\Sigma)$. What is mutual information $I(X;Z)$? (Cover & Thomas 8.9)

Show that $I(t),0\leq t\leq T$ is a martingale

Functions that preserve the minimum inside an integral

I need a study guide for linear algebraic expressions.

factor a joint likelihood of independent parameter

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