List questions from problem-solving

Published on 23 Jan 2020 - 0:09

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How to satisfy an inequality, from a fourth degree polynomial

Published on 24 Jan 2020 - 8:13

169

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Let $H\le G$ be groups such that $x^2 \in H$ for all $x\in G$. Show that $H\unlhd G$.

Published on 29 Mar 2026 - 19:30

105

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How to factorise the following linear differential equation?

Published on 24 Jan 2020 - 14:08

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If $(x+y-3)^2 + (x-y-7)^4 = 0$, then find $x$ and $y$

Published on 24 Jan 2020 - 14:40

38

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ODE Homogeneous Equation Algebra

Published on 25 Mar 2026 - 20:34

114

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A challenging problem on sequences.

Published on 25 Mar 2026 - 20:09

90

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Monty Hall Analogue

Published on 29 Mar 2026 - 0:06

83

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Probability with conditions

Published on 02 Feb 2020 - 10:58

65

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Limit of $\frac{1}{x}(1-\alpha^{x})$

Published on 06 Feb 2020 - 22:43

40

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Show limit converges using Taylor's series (Advanced Calc.)

Published on 08 Feb 2020 - 19:30

61

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Discouraging test problem

Published on 09 Feb 2020 - 3:53

192

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Notes on Hermite Polynomials

Published on 25 Mar 2026 - 3:23

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What is the optimal number of dice to roll a Yahtzee in one roll?

Published on 27 Mar 2026 - 14:55

363

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$f(f(x)) = x \Longleftrightarrow f(x) = x$ if $f(x)$ is monotonically increasing. Can it work for monotonically decreasing $f(x)$ or $f(f(f(x)))$

Published on 26 Mar 2026 - 21:10

List Question

What is the sum of the coefficients of the terms containing $x$ (Problem 105, Algebra, Gelfand)

How to satisfy an inequality, from a fourth degree polynomial

Let $H\le G$ be groups such that $x^2 \in H$ for all $x\in G$. Show that $H\unlhd G$.

How to factorise the following linear differential equation?

If $(x+y-3)^2 + (x-y-7)^4 = 0$, then find $x$ and $y$

ODE Homogeneous Equation Algebra

A challenging problem on sequences.

Monty Hall Analogue

Probability with conditions

Limit of $\frac{1}{x}(1-\alpha^{x})$

Show limit converges using Taylor's series (Advanced Calc.)

Discouraging test problem

Notes on Hermite Polynomials

What is the optimal number of dice to roll a Yahtzee in one roll?

$f(f(x)) = x \Longleftrightarrow f(x) = x$ if $f(x)$ is monotonically increasing. Can it work for monotonically decreasing $f(x)$ or $f(f(f(x)))$

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