Question

Solve for $x$ :$|[x]-2x|=4$

score 143 · Answer 1 · 2026-03-30 12:50:02

143

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Solve for $x$ :$|[x]-2x|=4$

Published on 30 Mar 2026 - 12:50

score 763 · Answer 2 · 2015-11-02 11:29:03

763

Views

Is it possible to prove that ceil(x/y) = ceil(ceil(x)/ceil(y))?

Published on 02 Nov 2015 - 11:29

score 1.3k · Answer 3 · 2015-11-02 13:53:23

1.3k

Views

Use the Sandwich Theorem to evaluate the limit $\lim_{x\to \infty} \frac{\lfloor x\rfloor}{x}$

Published on 02 Nov 2015 - 13:53

score 59 · Answer 4 · 2015-11-02 14:38:21

59

Views

How could $r$ have two values?

Published on 02 Nov 2015 - 14:38

score 103 · Answer 5 · 2015-11-02 17:31:07

103

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If $x - \lvert x \rvert + \frac{1}{x} - \lvert \frac{1}{x} \rvert = 1$ then $x$ is irrational

Published on 02 Nov 2015 - 17:31

score 177 · Answer 6 · 2015-11-02 23:21:10

177

Views

Show that $\left[\alpha\right]+\left[\alpha+\frac{1}{m}\right]+\cdots + \left[\alpha+\frac{m-1}{m}\right] = \left[m\alpha\right]$

Published on 02 Nov 2015 - 23:21

score 244 · Answer 7 · 2015-11-03 06:38:54

244

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Solve for $x$: $x\lfloor x + 2 \rfloor +\lfloor 2x - 2 \rfloor +3x =12$

Published on 03 Nov 2015 - 6:38

score 39.8k · Answer 8 · 2015-11-03 09:42:25

39.8k

Views

What does this 'L' and upside down 'L' symbol mean?

Published on 03 Nov 2015 - 9:42

score 111 · Answer 9 · 2015-11-03 20:18:41

111

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Prove that $\left\lceil\frac xy\right\rceil = \left\lceil\frac {\lceil x\rceil}y\right\rceil$ with x element of R and y element of Z

Published on 03 Nov 2015 - 20:18

score 60 · Answer 10 · 2015-11-04 06:28:45

60

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$x-\left\lfloor x \right\rfloor +\frac { 1 }{ x } -\left\lfloor \frac { 1 }{ x } \right\rfloor =1\implies x$ is irrational.

Published on 04 Nov 2015 - 6:28

score 64 · Answer 11 · 2026-03-30 00:05:21

64

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The sum of integer parts of $2k/n$ over $k=1,\dots,n-1$

Published on 30 Mar 2026 - 0:05

score 61 · Answer 12 · 2015-11-10 04:10:37

61

Views

Help with proof regarding generalization of a function: $f(x)=2x+1-2^{\lfloor \log_2x\rfloor+1}$

Published on 10 Nov 2015 - 4:10

score 738 · Answer 13 · 2015-11-13 08:28:04

738

Views

Proof involving Floor function

Published on 13 Nov 2015 - 8:28

score 270 · Answer 14 · 2015-11-17 17:03:35

270

Views

Solve $x-\lfloor x\rfloor= \frac{2}{\frac{1}{x} + \frac{1}{\lfloor x\rfloor}}$

Published on 17 Nov 2015 - 17:03

score 712 · Answer 15 · 2015-11-18 02:05:09

712

Views

Integral/Derivation of Modulo/Greatest Integer

Published on 18 Nov 2015 - 2:05

List Question

Solve for $x$ :$|[x]-2x|=4$

Is it possible to prove that ceil(x/y) = ceil(ceil(x)/ceil(y))?

Use the Sandwich Theorem to evaluate the limit $\lim_{x\to \infty} \frac{\lfloor x\rfloor}{x}$

How could $r$ have two values?

If $x - \lvert x \rvert + \frac{1}{x} - \lvert \frac{1}{x} \rvert = 1$ then $x$ is irrational

Show that $\left[\alpha\right]+\left[\alpha+\frac{1}{m}\right]+\cdots + \left[\alpha+\frac{m-1}{m}\right] = \left[m\alpha\right]$

Solve for $x$: $x\lfloor x + 2 \rfloor +\lfloor 2x - 2 \rfloor +3x =12$

What does this 'L' and upside down 'L' symbol mean?

Prove that $\left\lceil\frac xy\right\rceil = \left\lceil\frac {\lceil x\rceil}y\right\rceil$ with x element of R and y element of Z

$x-\left\lfloor x \right\rfloor +\frac { 1 }{ x } -\left\lfloor \frac { 1 }{ x } \right\rfloor =1\implies x$ is irrational.

The sum of integer parts of $2k/n$ over $k=1,\dots,n-1$

Help with proof regarding generalization of a function: $f(x)=2x+1-2^{\lfloor \log_2x\rfloor+1}$

Proof involving Floor function

Solve $x-\lfloor x\rfloor= \frac{2}{\frac{1}{x} + \frac{1}{\lfloor x\rfloor}}$

Integral/Derivation of Modulo/Greatest Integer

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