Question

Lower bound for a power series with coefficients as difference between values from a periodic function

score 160 · Answer 1 · 2026-03-29 16:24:24

160

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Lower bound for a power series with coefficients as difference between values from a periodic function

Published on 29 Mar 2026 - 16:24

score 41 · Answer 2 · 2026-03-28 23:59:37

41

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Finding $\iint_R|x+y|\,dx\,dy$ where $R=\{(x,y):|x|<1,|y|<1\}$

Published on 28 Mar 2026 - 23:59

score 74 · Answer 3 · 2020-07-25 21:52:48

74

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Extracting root of $y^3=-x^2$

Published on 25 Jul 2020 - 21:52

score 73 · Answer 4 · 2026-02-23 04:43:03

73

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What Inequality holds true if and only if when $|x|+|y|+|z|+|x+y+z|=|x+y|+|y+z|+|z+x|$ is true?

Published on 23 Feb 2026 - 4:43

score 75 · Answer 5 · 2020-07-26 12:44:42

Show that if $a$ and $b$ have the same sign then $|a + b| = |a| + |b| $, and if $a$ and $b$ have opposite signs then $|a+b| < |a| + |b|$

score 34 · Answer 6 · 2026-03-28 11:21:45

34

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Show that for any two real numbers $x, y \in [0,1]$, there exist $a,b \in \mathbb{N}^0$, $a,b \leq 18$ not both equal to $0$ such that $|ax-by|<1/9.$

Published on 28 Mar 2026 - 11:21

score 633 · Answer 7 · 2026-03-30 10:41:05

633

Views

Is the absolute value of a definite integral equal to the definite integral of the absolute value of the integrand?

Published on 30 Mar 2026 - 10:41

score 319 · Answer 8 · 2016-07-06 07:02:35

319

Views

Equation with absolute values and a parameter

Published on 06 Jul 2016 - 7:02

score 187 · Answer 9 · 2016-07-06 18:13:52

187

Views

Find $\theta$ and $\phi$ that maximize $\mid -2ia\sin\theta - 2ib\sin\phi + 2c(1-\cos\theta) +2d(1-\cos\phi)\mid$

Published on 06 Jul 2016 - 18:13

score 269 · Answer 10 · 2016-07-07 12:41:18

269

Views

Why there is no value for $x$ if $|x| = -1$?

Published on 07 Jul 2016 - 12:41

score 122 · Answer 11 · 2016-07-08 16:02:12

122

Views

Simplify $\sqrt{a^6 + 2a^4b^2 + a^2b^4}$

Published on 08 Jul 2016 - 16:02

score 134 · Answer 12 · 2016-07-10 14:52:21

134

Views

If $\left| x-2\right| < \frac{1}{100}$ Show That $\left| x^2 -4 \right| < \frac{1}{10}$

Published on 10 Jul 2016 - 14:52

score 6.2k · Answer 13 · 2016-07-11 18:50:10

6.2k

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Prove $|x|=\max\{x,-x\}$

Published on 11 Jul 2016 - 18:50

score 2k · Answer 14 · 2016-07-14 19:16:03

2k

Views

Absolute Difference of Two Integers

Published on 14 Jul 2016 - 19:16

score 121 · Answer 15 · 2026-03-27 04:18:32

121

Views

Definite integral of absolute values over a simplex

Published on 27 Mar 2026 - 4:18

List Question

Lower bound for a power series with coefficients as difference between values from a periodic function

Finding $\iint_R|x+y|\,dx\,dy$ where $R=\{(x,y):|x|<1,|y|<1\}$

Extracting root of $y^3=-x^2$

What Inequality holds true if and only if when $|x|+|y|+|z|+|x+y+z|=|x+y|+|y+z|+|z+x|$ is true?

Show that if $a$ and $b$ have the same sign then $|a + b| = |a| + |b| $, and if $a$ and $b$ have opposite signs then $|a+b| < |a| + |b|$

Show that for any two real numbers $x, y \in [0,1]$, there exist $a,b \in \mathbb{N}^0$, $a,b \leq 18$ not both equal to $0$ such that $|ax-by|<1/9.$

Is the absolute value of a definite integral equal to the definite integral of the absolute value of the integrand?

Equation with absolute values and a parameter

Find $\theta$ and $\phi$ that maximize $\mid -2ia\sin\theta - 2ib\sin\phi + 2c(1-\cos\theta) +2d(1-\cos\phi)\mid$

Why there is no value for $x$ if $|x| = -1$?

Simplify $\sqrt{a^6 + 2a^4b^2 + a^2b^4}$

If $\left| x-2\right| < \frac{1}{100}$ Show That $\left| x^2 -4 \right| < \frac{1}{10}$

Prove $|x|=\max\{x,-x\}$

Absolute Difference of Two Integers

Definite integral of absolute values over a simplex

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