Question

Prove that $N - \lfloor{N/p}\rfloor = \lfloor{\frac{p-1}{p}\left({N + 1}\right)}\rfloor$ for positive $N$ and prime $p$

score 94 · Answer 1 · 2019-01-09 03:39:03

94

Views

Prove that $N - \lfloor{N/p}\rfloor = \lfloor{\frac{p-1}{p}\left({N + 1}\right)}\rfloor$ for positive $N$ and prime $p$

Published on 09 Jan 2019 - 3:39

score 61 · Answer 2 · 2019-01-09 10:56:32

61

Views

Is it possible to represent this function as a polynomial, by removing the ceiling function?

Published on 09 Jan 2019 - 10:56

score 793 · Answer 3 · 2019-01-09 16:55:50

793

Views

how to find the closest year that had the exact same calendar as a given year - equations involving floor

Published on 09 Jan 2019 - 16:55

score 204 · Answer 4 · 2019-01-09 17:25:25

204

Views

limit of function: $ \lim_{x \to \infty} \frac{[x]}{x}$

Published on 09 Jan 2019 - 17:25

score 126 · Answer 5 · 2026-03-25 22:06:02

126

Views

Why is $\left\lfloor\frac{\lfloor a\pi\rfloor}{a}\right\rfloor=3$ for $a>0$?

Published on 25 Mar 2026 - 22:06

score 309 · Answer 6 · 2019-01-13 00:50:48

309

Views

Proving multiplication floor functions

Published on 13 Jan 2019 - 0:50

score 196 · Answer 7 · 2019-01-14 16:38:42

196

Views

Equivalence between ceil and floor functions

Published on 14 Jan 2019 - 16:38

score 1.5k · Answer 8 · 2019-01-15 13:54:12

1.5k

Views

Find the limit with greatest integer function: $\lim\limits_{x \to 0}\frac{[x]}{x}$

Published on 15 Jan 2019 - 13:54

score 581 · Answer 9 · 2019-01-18 14:49:13

581

Views

How do we prove that $[n+1/2]+[n+2/4]+[n+4/8]+[n+8/16] ...=n$?

Published on 18 Jan 2019 - 14:49

score 88 · Answer 10 · 2019-01-19 12:33:39

88

Views

Prove the equality $[\sqrt n+\sqrt{n+1}]=[\sqrt{4n+2}]$.

Published on 19 Jan 2019 - 12:33

score 97 · Answer 11 · 2019-01-21 15:14:49

97

Views

Prove that $\sum\limits_{k=1}^n\lfloor n/k\rfloor+\lfloor \sqrt{n} \rfloor$ is even.

Published on 21 Jan 2019 - 15:14

score 262 · Answer 12 · 2019-01-24 16:26:05

262

Views

Maximum value of sum with integer parts

Published on 24 Jan 2019 - 16:26

score 1k · Answer 13 · 2019-01-25 12:49:19

1k

Views

$\left\lfloor \frac{a-b}{2} \right\rfloor + \left\lceil \frac{a+b}{2} \right\rceil = a$ when $a,b$ are integers?

Published on 25 Jan 2019 - 12:49

score 150 · Answer 14 · 2019-01-28 10:14:26

150

Views

A series question whose indices involves greatest integer function

Published on 28 Jan 2019 - 10:14

score 214 · Answer 15 · 2019-01-28 10:51:01

214

Views

On a multisection of a series

Published on 28 Jan 2019 - 10:51

List Question

Prove that $N - \lfloor{N/p}\rfloor = \lfloor{\frac{p-1}{p}\left({N + 1}\right)}\rfloor$ for positive $N$ and prime $p$

Is it possible to represent this function as a polynomial, by removing the ceiling function?

how to find the closest year that had the exact same calendar as a given year - equations involving floor

limit of function: $ \lim_{x \to \infty} \frac{[x]}{x}$

Why is $\left\lfloor\frac{\lfloor a\pi\rfloor}{a}\right\rfloor=3$ for $a>0$?

Proving multiplication floor functions

Equivalence between ceil and floor functions

Find the limit with greatest integer function: $\lim\limits_{x \to 0}\frac{[x]}{x}$

How do we prove that $[n+1/2]+[n+2/4]+[n+4/8]+[n+8/16] ...=n$?

Prove the equality $[\sqrt n+\sqrt{n+1}]=[\sqrt{4n+2}]$.

Prove that $\sum\limits_{k=1}^n\lfloor n/k\rfloor+\lfloor \sqrt{n} \rfloor$ is even.

Maximum value of sum with integer parts

$\left\lfloor \frac{a-b}{2} \right\rfloor + \left\lceil \frac{a+b}{2} \right\rceil = a$ when $a,b$ are integers?

A series question whose indices involves greatest integer function

On a multisection of a series

Trending Questions

Popular # Hahtags

Popular Questions