Question

How can one show that $argmin_{a,b}\:\left\{\:\sum \:\left|y-\left(a+bx\right)\right|\right\}$ can lack a unique solution

score 60 · Answer 1 · 2026-04-06 07:37:20

60

Views

How can one show that $argmin_{a,b}\:\left\{\:\sum \:\left|y-\left(a+bx\right)\right|\right\}$ can lack a unique solution

Published on 06 Apr 2026 - 7:37

score 72 · Answer 2 · 2020-10-02 06:25:10

72

Views

Does $| a - b | \geq a - b $ always hold for any $a, b \in \mathbb{R} $?

Published on 02 Oct 2020 - 6:25

score 105 · Answer 3 · 2020-10-04 08:48:24

105

Views

$|x-1|+|x|+|x+1| \geq 6$ , find the range of values of x

Published on 04 Oct 2020 - 8:48

score 260 · Answer 4 · 2026-04-07 19:35:16

260

Views

If $x = \sqrt{2} + \sqrt{3} + \sqrt{6}$ is a root of $x^4 + ax^3 + bx^2 + cx + d$, where $a, b, c$ and $d$ are integers, what is $|a + b + c + d|$?

Published on 07 Apr 2026 - 19:35

score 46 · Answer 5 · 2020-10-05 16:06:16

46

Views

Is there any sum of a function equal to the absolute value of a sum of the functions parameters?

Published on 05 Oct 2020 - 16:06

score 63 · Answer 6 · 2020-10-06 05:35:32

63

Views

Set f(x) = $x^2 + ax + b$. Prove max{$|f(-1)|, |f(0)|, |f(1)|$} $\geq$ $\frac12$

Published on 06 Oct 2020 - 5:35

score 636 · Answer 7 · 2020-10-06 13:54:18

636

Views

Find the radius of the circle in complex plane given by $|z - i| = 3|z +2i|$ where $z$ is a point on the circle.

Published on 06 Oct 2020 - 13:54

score 74 · Answer 8 · 2020-10-07 05:23:36

74

Views

Is $\left|a-b\right| + \left|c-d\right|$ equal to $\left|(a+c)-(b+d)\right|$ for $a,b,c,d \geq0$?

Published on 07 Oct 2020 - 5:23

score 94 · Answer 9 · 2026-03-31 16:57:26

94

Views

Let $f(x) = |x+1|-|x-1|$, find $f \circ f\circ f\circ f ... \circ f(x)$ (n times).

Published on 31 Mar 2026 - 16:57

score 859 · Answer 10 · 2020-10-08 16:19:18

859

Views

Prove for any real number, $|x-6|+x \gt 3$

Published on 08 Oct 2020 - 16:19

score 295 · Answer 11 · 2026-04-01 12:51:58

295

Views

How do you find the min/max values of $Arg(z)$ for {$z:|z-(4+3i)|=2$}?

Published on 01 Apr 2026 - 12:51

score 43 · Answer 12 · 2020-10-09 04:29:03

43

Views

Easy way to do absolute value inequalities

Published on 09 Oct 2020 - 4:29

score 372 · Answer 13 · 2020-10-09 11:36:15

372

Views

What are the real life application of absolute function?

Published on 09 Oct 2020 - 11:36

score 657 · Answer 14 · 2026-04-01 05:05:50

657

Views

Maximum of $\sin(x)\cos(y) + \sin(y)\cos(z) + \sin(z)\cos(x)$

Published on 01 Apr 2026 - 5:05

score 71 · Answer 15 · 2020-10-11 01:57:46

71

Views

Absolute Value and Systems of Inequalities (HW Question)

Published on 11 Oct 2020 - 1:57

List Question

How can one show that $argmin_{a,b}\:\left\{\:\sum \:\left|y-\left(a+bx\right)\right|\right\}$ can lack a unique solution

Does $| a - b | \geq a - b $ always hold for any $a, b \in \mathbb{R} $?

$|x-1|+|x|+|x+1| \geq 6$ , find the range of values of x

If $x = \sqrt{2} + \sqrt{3} + \sqrt{6}$ is a root of $x^4 + ax^3 + bx^2 + cx + d$, where $a, b, c$ and $d$ are integers, what is $|a + b + c + d|$?

Is there any sum of a function equal to the absolute value of a sum of the functions parameters?

Set f(x) = $x^2 + ax + b$. Prove max{$|f(-1)|, |f(0)|, |f(1)|$} $\geq$ $\frac12$

Find the radius of the circle in complex plane given by $|z - i| = 3|z +2i|$ where $z$ is a point on the circle.

Is $\left|a-b\right| + \left|c-d\right|$ equal to $\left|(a+c)-(b+d)\right|$ for $a,b,c,d \geq0$?

Let $f(x) = |x+1|-|x-1|$, find $f \circ f\circ f\circ f ... \circ f(x)$ (n times).

Prove for any real number, $|x-6|+x \gt 3$

How do you find the min/max values of $Arg(z)$ for {$z:|z-(4+3i)|=2$}?

Easy way to do absolute value inequalities

What are the real life application of absolute function?

Maximum of $\sin(x)\cos(y) + \sin(y)\cos(z) + \sin(z)\cos(x)$

Absolute Value and Systems of Inequalities (HW Question)

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