Question

Using the triangle inequality to show that if $|x| < 4$ then $|x^2-2x+3| < 27$

score 293 · Answer 1 · 2014-12-13 17:47:42

293

Views

Using the triangle inequality to show that if $|x| < 4$ then $|x^2-2x+3| < 27$

Published on 13 Dec 2014 - 17:47

score 205 · Answer 2 · 2014-12-15 02:45:30

205

Views

Find the set of complex numbers $z$ which satisfy: $\left\lvert\frac{z-3}{z+3}\right\rvert=2$

Published on 15 Dec 2014 - 2:45

score 86 · Answer 3 · 2014-12-16 16:15:13

86

Views

Forcing an absolute value of x after a square root operation

Published on 16 Dec 2014 - 16:15

score 94 · Answer 4 · 2026-03-25 15:22:47

94

Views

Ordered Field: $|x|\le y$ iff $-y\le x\le y$

Published on 25 Mar 2026 - 15:22

score 7.4k · Answer 5 · 2014-12-26 17:35:28

7.4k

Views

Modulus of exponential function with real and complex arguments

Published on 26 Dec 2014 - 17:35

score 3.6k · Answer 6 · 2014-12-26 22:12:57

3.6k

Views

Find integral of absolute values by splitting integrals, $\int_{-1}^{4} (3-|2-x|)\, dx$

Published on 26 Dec 2014 - 22:12

score 164 · Answer 7 · 2014-12-28 21:33:34

164

Views

Is this inequality always valid? $\left|\sum_{i=0}^{\infty}x_i\right|\leq \sum_{i=0}^{\infty}|x_i|$

Published on 28 Dec 2014 - 21:33

score 143 · Answer 8 · 2014-12-30 04:11:56

143

Views

The interval determined by absolute value inequality $|1-2x| < |1+x|$

Published on 30 Dec 2014 - 4:11

score 1.5k · Answer 9 · 2014-12-30 10:45:42

1.5k

Views

Derivative of absolute value of $|x^5|$

Published on 30 Dec 2014 - 10:45

score 961 · Answer 10 · 2015-01-02 13:02:44

961

Views

Definition of abs() function

Published on 02 Jan 2015 - 13:02

score 26 · Answer 11 · 2019-10-05 06:13:10

26

Views

Differentiation of a function with absolute value

Published on 05 Oct 2019 - 6:13

score 895 · Answer 12 · 2026-03-26 04:13:31

895

Views

Minimization problem with absolute value in objective function

Published on 26 Mar 2026 - 4:13

score 86 · Answer 13 · 2019-10-06 07:35:02

86

Views

$Y = |X|$, where $X \sim \text{N}(\mu, \sigma^2)$: How does the PDF and CDF change?

Published on 06 Oct 2019 - 7:35

score 58 · Answer 14 · 2019-10-09 10:13:49

58

Views

Can't find the set of solutions

Published on 09 Oct 2019 - 10:13

score 41 · Answer 15 · 2019-10-09 13:41:22

41

Views

Why $5<x+3<7$ implies $|x+3|<7$?

Published on 09 Oct 2019 - 13:41

List Question

Using the triangle inequality to show that if $|x| < 4$ then $|x^2-2x+3| < 27$

Find the set of complex numbers $z$ which satisfy: $\left\lvert\frac{z-3}{z+3}\right\rvert=2$

Forcing an absolute value of x after a square root operation

Ordered Field: $|x|\le y$ iff $-y\le x\le y$

Modulus of exponential function with real and complex arguments

Find integral of absolute values by splitting integrals, $\int_{-1}^{4} (3-|2-x|)\, dx$

Is this inequality always valid? $\left|\sum_{i=0}^{\infty}x_i\right|\leq \sum_{i=0}^{\infty}|x_i|$

The interval determined by absolute value inequality $|1-2x| < |1+x|$

Derivative of absolute value of $|x^5|$

Definition of abs() function

Differentiation of a function with absolute value

Minimization problem with absolute value in objective function

$Y = |X|$, where $X \sim \text{N}(\mu, \sigma^2)$: How does the PDF and CDF change?

Can't find the set of solutions

Why $5<x+3<7$ implies $|x+3|<7$?

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