Question

Let $p$ be a prime. Show that ${n \choose p}-\bigl[\frac{n}{p}\bigr]$ is divisible by $p$, for all $n\in \mathbb{N}$

score 110 · Answer 1 · 2015-01-31 16:23:33

110

Views

Let $p$ be a prime. Show that ${n \choose p}-\bigl[\frac{n}{p}\bigr]$ is divisible by $p$, for all $n\in \mathbb{N}$

Published on 31 Jan 2015 - 16:23

score 105 · Answer 2 · 2015-02-01 13:49:04

105

Views

Rounding errors for expressions with floor/ceil funcitons

Published on 01 Feb 2015 - 13:49

score 5.6k · Answer 3 · 2015-02-02 07:55:54

5.6k

Views

What can the floor of a square root be rewritten as?

Published on 02 Feb 2015 - 7:55

score 183 · Answer 4 · 2015-02-04 14:52:06

183

Views

Log inequality - is $\lceil\log x\rceil - \lfloor\log y\rfloor\leq \lceil\log\frac{x}{y}\rceil+1$

Published on 04 Feb 2015 - 14:52

score 127 · Answer 5 · 2015-02-04 15:28:33

127

Views

Log inequality- is $(\lceil\log x\rceil - \lfloor\log m\rfloor)\cdot m+2^{\lfloor\log m\rfloor+1}\leq m\cdot(\lceil\log\frac{x}{m}\rceil+2)$?

Published on 04 Feb 2015 - 15:28

score 123 · Answer 6 · 2015-02-07 14:37:12

123

Views

Prove or disprove that $\sin\lfloor x\rfloor$ is periodic.

Published on 07 Feb 2015 - 14:37

score 1k · Answer 7 · 2015-02-09 05:23:21

1k

Views

Sum of $\lfloor k^{1/3} \rfloor$

Published on 09 Feb 2015 - 5:23

score 124 · Answer 8 · 2015-02-10 11:58:39

124

Views

Prove that $-\lfloor x+1 \rfloor = \lfloor -x \rfloor$ for all real $x$ not an integer

Published on 10 Feb 2015 - 11:58

score 177 · Answer 9 · 2015-02-12 06:42:47

177

Views

Integral $\int_{0}^{n^{2}} \lfloor \sqrt{t} \rfloor \rm dt $

Published on 12 Feb 2015 - 6:42

score 184 · Answer 10 · 2026-03-26 12:32:32

184

Views

How to prove this floor function equation?

Published on 26 Mar 2026 - 12:32

score 101 · Answer 11 · 2026-03-29 12:05:25

101

Views

Floor function of scale of stopping time with translation is non-increasing

Published on 29 Mar 2026 - 12:05

score 52 · Answer 12 · 2015-02-14 15:09:40

52

Views

$R = A \times B + C$, How retrieve A and C if C is negative?

Published on 14 Feb 2015 - 15:09

score 427 · Answer 13 · 2015-02-16 07:34:07

427

Views

Find $f'(8.23)$ where $f(x)=23|x|−37\lfloor x\rfloor+58\{x\}+88\arccos(\sin x)−40\max(x,0)$

Published on 16 Feb 2015 - 7:34

score 1k · Answer 14 · 2015-02-16 10:59:04

1k

Views

Integral with floor function

Published on 16 Feb 2015 - 10:59

score 762 · Answer 15 · 2015-02-19 14:22:55

762

Views

How do I find a closed form for this sequence?

Published on 19 Feb 2015 - 14:22

List Question

Let $p$ be a prime. Show that ${n \choose p}-\bigl[\frac{n}{p}\bigr]$ is divisible by $p$, for all $n\in \mathbb{N}$

Rounding errors for expressions with floor/ceil funcitons

What can the floor of a square root be rewritten as?

Log inequality - is $\lceil\log x\rceil - \lfloor\log y\rfloor\leq \lceil\log\frac{x}{y}\rceil+1$

Log inequality- is $(\lceil\log x\rceil - \lfloor\log m\rfloor)\cdot m+2^{\lfloor\log m\rfloor+1}\leq m\cdot(\lceil\log\frac{x}{m}\rceil+2)$?

Prove or disprove that $\sin\lfloor x\rfloor$ is periodic.

Sum of $\lfloor k^{1/3} \rfloor$

Prove that $-\lfloor x+1 \rfloor = \lfloor -x \rfloor$ for all real $x$ not an integer

Integral $\int_{0}^{n^{2}} \lfloor \sqrt{t} \rfloor \rm dt $

How to prove this floor function equation?

Floor function of scale of stopping time with translation is non-increasing

$R = A \times B + C$, How retrieve A and C if C is negative?

Find $f'(8.23)$ where $f(x)=23|x|−37\lfloor x\rfloor+58\{x\}+88\arccos(\sin x)−40\max(x,0)$

Integral with floor function

How do I find a closed form for this sequence?

Trending Questions

Popular # Hahtags

Popular Questions