List questions from absolute-value

Published on 16 Nov 2017 - 0:20

106

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Is it true $\left|\dfrac{1}{2^a}-\dfrac{1}{2^b}\right|<b$

Published on 16 Nov 2017 - 18:29

158

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how to prove $\left | \sqrt[n]{a}- \sqrt[n]{b}\right |\leq \sqrt[n]{\left | a-b \right |}$

Published on 16 Nov 2017 - 19:12

42

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Prove that $d(x,y) \ge d(a,b)-d(x,a)-d(y,b)$

Published on 31 Mar 2026 - 8:44

360

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Prove $|z^{5}+135| \geq 108$ Complex Numbers

Published on 17 Nov 2017 - 21:36

303

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Proof $|x+y|+|x-y| \geq |x| + |y|$

Published on 18 Nov 2017 - 19:36

184

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Bounded function of several real variables

Published on 19 Nov 2017 - 11:36

38

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Convergence range of Binomial Expansions with square unknowns?

Published on 05 Apr 2026 - 14:43

83

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How is $f(x) = x^2|x|$ differentiable for $c > 0$?

Published on 19 Nov 2017 - 15:43

344

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Is the supremum of addition and multiplication of functions the addition and multiplication of supremum of functions?

Published on 21 Nov 2017 - 8:10

132

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Absolute Extremes of: $f(x,y,z) = xyz$ with $x+y+z=1$

Published on 28 Mar 2026 - 11:54

44

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Help to spot an error in a solution of an equation, involving absolute value expressions

Published on 21 Nov 2017 - 19:42

174

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Is this a valid equation for absolute value?

Published on 22 Nov 2017 - 0:22

151

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$\frac{|x+y|}{|1+xy|}<1$ for $|x|<1$ and $|y|<1$

Published on 22 Nov 2017 - 21:18

586

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Absolute value inside absolute value inequality (from both sides)

Published on 26 Nov 2017 - 20:37

List Question

How is the absolute value / magnitude of a DFT calculated?

Is it true $\left|\dfrac{1}{2^a}-\dfrac{1}{2^b}\right|<b$

how to prove $\left | \sqrt[n]{a}- \sqrt[n]{b}\right |\leq \sqrt[n]{\left | a-b \right |}$

Prove that $d(x,y) \ge d(a,b)-d(x,a)-d(y,b)$

Prove $|z^{5}+135| \geq 108$ Complex Numbers

Proof $|x+y|+|x-y| \geq |x| + |y|$

Bounded function of several real variables

Convergence range of Binomial Expansions with square unknowns?

How is $f(x) = x^2|x|$ differentiable for $c > 0$?

Is the supremum of addition and multiplication of functions the addition and multiplication of supremum of functions?

Absolute Extremes of: $f(x,y,z) = xyz$ with $x+y+z=1$

Help to spot an error in a solution of an equation, involving absolute value expressions

Is this a valid equation for absolute value?

$\frac{|x+y|}{|1+xy|}<1$ for $|x|<1$ and $|y|<1$

Absolute value inside absolute value inequality (from both sides)

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