Question

Show that $|1-z| \leq |z|+1$

score 176 · Answer 1 · 2018-07-04 07:03:56

176

Views

Show that $|1-z| \leq |z|+1$

Published on 04 Jul 2018 - 7:03

score 110 · Answer 2 · 2018-07-05 01:12:04

110

Views

Properties of Absolute Value and Squaring Function

Published on 05 Jul 2018 - 1:12

score 3.6k · Answer 3 · 2018-07-05 14:44:32

3.6k

Views

Prove that if $f$ is differentiable at $a$, then $|f|$ is also differentiable at $a$, provided that $f(a) \ne 0$

Published on 05 Jul 2018 - 14:44

score 420 · Answer 4 · 2018-07-09 01:42:39

420

Views

Bounding a difference of square roots

Published on 09 Jul 2018 - 1:42

score 80 · Answer 5 · 2018-07-09 05:27:32

80

Views

Solve Absolute Inequation by Using Triangle Inequality Theorem

Published on 09 Jul 2018 - 5:27

score 523 · Answer 6 · 2018-07-12 09:03:43

523

Views

Prove that the equation $x^2 + |x - 1| = 0$ has no real solution.

Published on 12 Jul 2018 - 9:03

score 92 · Answer 7 · 2018-07-12 11:38:43

92

Views

Prove that the only solution of $|x| + \left(y-1\right)^2 = 0$ is $x=0$ and $y=1$.

Published on 12 Jul 2018 - 11:38

score 69 · Answer 8 · 2018-07-13 03:11:45

69

Views

Computing $\int_{-1}^{1}\left(2|x|+x \arctan(2x^2) \cos(x^2) \right)dx $

Published on 13 Jul 2018 - 3:11

score 193 · Answer 9 · 2018-07-15 10:37:55

193

Views

Integral by substitution of an absolute value of a derivative

Published on 15 Jul 2018 - 10:37

score 554 · Answer 10 · 2018-07-15 21:22:36

554

Views

looking at the piecewise definition why isn't the absolute value of x differentiable at 0?

Published on 15 Jul 2018 - 21:22

score 63 · Answer 11 · 2018-07-18 17:41:51

63

Views

Volume of solid of revolution about x-axis via Disks

Published on 18 Jul 2018 - 17:41

score 65 · Answer 12 · 2018-07-18 20:25:42

65

Views

Is $|f(z)|=|f(z^)|$ true, where $z$ is a complex number and $z^$ is it's conjugate?

Published on 18 Jul 2018 - 20:25

score 1.5k · Answer 13 · 2018-07-21 02:06:50

1.5k

Views

Find the number of possible solution of |[x]-2x|=4

Published on 21 Jul 2018 - 2:06

score 32 · Answer 14 · 2018-07-21 05:27:01

32

Views

Is the use of reverse chain rule with absolute values justified? eg. Integral of inverse sec x

Published on 21 Jul 2018 - 5:27

score 608 · Answer 15 · 2026-03-25 09:50:14

608

Views

absolute value and valuation on the field of formal power series

Published on 25 Mar 2026 - 9:50

List Question

Show that $|1-z| \leq |z|+1$

Properties of Absolute Value and Squaring Function

Prove that if $f$ is differentiable at $a$, then $|f|$ is also differentiable at $a$, provided that $f(a) \ne 0$

Bounding a difference of square roots

Solve Absolute Inequation by Using Triangle Inequality Theorem

Prove that the equation $x^2 + |x - 1| = 0$ has no real solution.

Prove that the only solution of $|x| + \left(y-1\right)^2 = 0$ is $x=0$ and $y=1$.

Computing $\int_{-1}^{1}\left(2|x|+x \arctan(2x^2) \cos(x^2) \right)dx $

Integral by substitution of an absolute value of a derivative

looking at the piecewise definition why isn't the absolute value of x differentiable at 0?

Volume of solid of revolution about x-axis via Disks

Is $|f(z)|=|f(z^)|$ true, where $z$ is a complex number and $z^$ is it's conjugate?

Find the number of possible solution of |[x]-2x|=4

Is the use of reverse chain rule with absolute values justified? eg. Integral of inverse sec x

absolute value and valuation on the field of formal power series

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