Question

What is the motivation behind Tao's properties of $\epsilon$-closeness? (elementary real analysis)

score 268 · Answer 1 · 2019-10-11 02:29:20

268

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What is the motivation behind Tao's properties of $\epsilon$-closeness? (elementary real analysis)

Published on 11 Oct 2019 - 2:29

score 131 · Answer 2 · 2026-03-28 21:26:58

131

Views

What is the least positive integer $n$ for which $|\sin(n)-\sin(n^{\circ})|<0.005$

Published on 28 Mar 2026 - 21:26

score 2.3k · Answer 3 · 2019-10-13 16:03:10

2.3k

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Problem with: $\int_{|z|=1} |z-1||dz|$ :contour integral with Abs. value |dz|

Published on 13 Oct 2019 - 16:03

score 63 · Answer 4 · 2019-10-13 19:00:13

63

Views

Solving $|1-\frac{3}{x}|\le 2$

Published on 13 Oct 2019 - 19:00

score 78 · Answer 5 · 2019-10-13 20:54:34

78

Views

For $a,b,c \in \mathbb{R}$ and $|a| \geq |b+c|, |b| \geq |c+a|, |c| \geq |a+b|$ prove then $a+b+c = 0$

Published on 13 Oct 2019 - 20:54

score 148 · Answer 6 · 2019-10-14 03:33:41

148

Views

How do I solve an equation that has multiple absolute values?

Published on 14 Oct 2019 - 3:33

score 100 · Answer 7 · 2019-10-14 07:54:33

100

Views

Proof that inequality $|a| < |b-c+d|, |b| < |a-c+d|, |c| < |a-b+d|, |d|< |a-b+c| $ does not have solution in $\mathbb{R}$

Published on 14 Oct 2019 - 7:54

score 161 · Answer 8 · 2019-10-14 07:54:51

161

Views

Absolute value of complex number (fraction) - different answers

Published on 14 Oct 2019 - 7:54

score 212 · Answer 9 · 2019-10-14 12:55:21

x(t)=asin(ωt):y(t)=acos(ωt);z(t)=bt i have to find the velocity, the acceleration and then their absolute values

score 80 · Answer 10 · 2019-10-17 17:47:28

80

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Let $z_i=\frac{y_i}n\sum_{j=1}^nx_j+\frac{x_i}n\sum_{j=1}^ny_j-x_iy_i$ with $|x_i|=|y_i|=1$. Prove that $\sum_{i=1}^n |z_i| \leq n$.

Published on 17 Oct 2019 - 17:47

score 62 · Answer 11 · 2026-03-26 06:34:21

62

Views

Determining whether three values can be the lengths of a triangle or not

Published on 26 Mar 2026 - 6:34

score 95 · Answer 12 · 2019-10-19 12:01:34

95

Views

Proving $\forall x, |x| \leq 2 => |x^3 - 7x + 3| \leq 25 $

Published on 19 Oct 2019 - 12:01

score 115 · Answer 13 · 2019-10-21 12:29:57

115

Views

Prove $| |y-x| - |z-y| | \leq |x-z|$

Published on 21 Oct 2019 - 12:29

score 51 · Answer 14 · 2026-03-25 16:46:24

51

Views

use the ordered field $\mathbb{R}$. For $|x−y|<0.01$ and $x,y\in(0,2),$ show that $|x^2−y^2|<0.04$ only use properties of absoulte values

Published on 25 Mar 2026 - 16:46

score 36 · Answer 15 · 2019-10-23 14:21:11

36

Views

How do I know when to include or exclude the absolute value for integration of 1/x?

Published on 23 Oct 2019 - 14:21

List Question

What is the motivation behind Tao's properties of $\epsilon$-closeness? (elementary real analysis)

What is the least positive integer $n$ for which $|\sin(n)-\sin(n^{\circ})|<0.005$

Problem with: $\int_{|z|=1} |z-1||dz|$ :contour integral with Abs. value |dz|

Solving $|1-\frac{3}{x}|\le 2$

For $a,b,c \in \mathbb{R}$ and $|a| \geq |b+c|, |b| \geq |c+a|, |c| \geq |a+b|$ prove then $a+b+c = 0$

How do I solve an equation that has multiple absolute values?

Proof that inequality $|a| < |b-c+d|, |b| < |a-c+d|, |c| < |a-b+d|, |d|< |a-b+c| $ does not have solution in $\mathbb{R}$

Absolute value of complex number (fraction) - different answers

x(t)=asin(ωt):y(t)=acos(ωt);z(t)=bt i have to find the velocity, the acceleration and then their absolute values

Let $z_i=\frac{y_i}n\sum_{j=1}^nx_j+\frac{x_i}n\sum_{j=1}^ny_j-x_iy_i$ with $|x_i|=|y_i|=1$. Prove that $\sum_{i=1}^n |z_i| \leq n$.

Determining whether three values can be the lengths of a triangle or not

Proving $\forall x, |x| \leq 2 => |x^3 - 7x + 3| \leq 25 $

Prove $| |y-x| - |z-y| | \leq |x-z|$

use the ordered field $\mathbb{R}$. For $|x−y|<0.01$ and $x,y\in(0,2),$ show that $|x^2−y^2|<0.04$ only use properties of absoulte values

How do I know when to include or exclude the absolute value for integration of 1/x?

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