List questions from absolute-value

Published on 04 Jun 2020 - 22:19

95

Views

Proving $|a+b|\le |a|+|b|$ from $-|a|\le a \le |a|$

Published on 05 Jun 2020 - 7:14

39

Views

Characterization of absolute value : how to tackle such problems?

Published on 05 Jun 2020 - 10:28

52

Views

Does $\lim\limits_{n\to\infty}|X_n-X|=0$ imply $\lim\limits_{n\to\infty}|X_n-X|^p=0\hspace{0.2cm}\forall p>1$?

Published on 06 Jun 2020 - 14:48

60

Views

Solving $|a+1|+|2a+5|=5$

Published on 07 Jun 2020 - 5:00

62

Views

Prove that $|x|\le a$

Published on 30 Mar 2026 - 2:26

144

Views

Quadratic Function from the Taiwan IMO TST 2005

Published on 09 Jun 2020 - 16:18

52

Views

Showing that $|\sin(a+x)-\sin(a)-\cos(a)x|\leq x^2$

Published on 12 Jun 2020 - 15:32

351

Views

If $f(x)=2|2x-5|+3$, with $x\geq0$, find all $k$ such that $f(x) = kx + 2$ has exactly two roots

Published on 13 Jun 2020 - 14:03

110

Views

A Systematic way to solve absolute value inequalities?

Published on 14 Jun 2020 - 21:22

407

Views

Finding the image of an absolute value function

Published on 17 Jun 2020 - 16:29

189

Views

Relaxed Loewner-order inequalities for matrix modulus

Published on 26 Mar 2026 - 19:15

213

Views

Why is $|x|'=\frac{x}{|x|}$?

Published on 19 Jun 2020 - 21:18

48

Views

Absolute value inequalities with quadratics.

Published on 21 Jun 2020 - 6:16

111

Views

What is wrong with $x=x^{2/2}=\sqrt {x^2}=\lvert x\rvert$

Published on 23 Jun 2020 - 21:25

List Question

Lower Bound on Weil Height for Algebraic Number that is not an Algebraic Integer

Proving $|a+b|\le |a|+|b|$ from $-|a|\le a \le |a|$

Characterization of absolute value : how to tackle such problems?

Does $\lim\limits_{n\to\infty}|X_n-X|=0$ imply $\lim\limits_{n\to\infty}|X_n-X|^p=0\hspace{0.2cm}\forall p>1$?

Solving $|a+1|+|2a+5|=5$

Prove that $|x|\le a$

Quadratic Function from the Taiwan IMO TST 2005

Showing that $|\sin(a+x)-\sin(a)-\cos(a)x|\leq x^2$

If $f(x)=2|2x-5|+3$, with $x\geq0$, find all $k$ such that $f(x) = kx + 2$ has exactly two roots

A Systematic way to solve absolute value inequalities?

Finding the image of an absolute value function

Relaxed Loewner-order inequalities for matrix modulus

Why is $|x|'=\frac{x}{|x|}$?

Absolute value inequalities with quadratics.

What is wrong with $x=x^{2/2}=\sqrt {x^2}=\lvert x\rvert$

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