List questions from self-learning

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A counter example of Brownian Motion

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Invariance Properties of Brownian Motion

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How to prove that $\frac{a+b}{2} \geq \sqrt{ab}$ for $a,b>0$?

Published on 21 Aug 2014 - 7:45

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Monotonic Functions and Uniform Convergence

Published on 21 Aug 2014 - 23:36

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General formula for $\frac{a^{2n+1}-a^{2n-1}}{a^n-a^{n-1}}$. Is such proof correct?

Published on 22 Aug 2014 - 9:07

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What would be the way to learn algorithms?

Published on 22 Aug 2014 - 13:22

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How should I self-study calculus?

Published on 25 Mar 2026 - 22:01

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Prove that line segments are parallel.

Published on 26 Aug 2014 - 5:03

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hint with an exercise algebra

Published on 26 Aug 2014 - 5:26

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If $G$ is a simple $f$ an homomorphism, and $A\lhd H$ is such that $[H:A]=2$, show $f(G) \subset A$

Published on 26 Aug 2014 - 13:19

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exercise on pointwise convergence of an (easy) function.

Published on 26 Aug 2014 - 22:59

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Exercise 3.3.8 from Understanding Analysis by Stephen Abbott

Published on 27 Aug 2014 - 10:47

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How to get this inequality

Published on 27 Aug 2014 - 12:16

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prove that $g$ is a function of $(x_1-x_2,x_2-x_3,\dots,x_{n-1}-x_n)$

Published on 27 Aug 2014 - 12:32

List Question

Filtration from a Brownian Motion

A counter example of Brownian Motion

Invariance Properties of Brownian Motion

How to prove that $\frac{a+b}{2} \geq \sqrt{ab}$ for $a,b>0$?

Monotonic Functions and Uniform Convergence

General formula for $\frac{a^{2n+1}-a^{2n-1}}{a^n-a^{n-1}}$. Is such proof correct?

What would be the way to learn algorithms?

How should I self-study calculus?

Prove that line segments are parallel.

hint with an exercise algebra

If $G$ is a simple $f$ an homomorphism, and $A\lhd H$ is such that $[H:A]=2$, show $f(G) \subset A$

exercise on pointwise convergence of an (easy) function.

Exercise 3.3.8 from Understanding Analysis by Stephen Abbott

How to get this inequality

prove that $g$ is a function of $(x_1-x_2,x_2-x_3,\dots,x_{n-1}-x_n)$

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