Question

Prove $\bigg\lfloor\frac{\lfloor x \rfloor }{m}\bigg\rfloor =\bigg\lfloor\frac{x }{m}\bigg\rfloor $

score 166 · Answer 1 · 2016-03-29 10:19:27

166

Views

Prove $\bigg\lfloor\frac{\lfloor x \rfloor }{m}\bigg\rfloor =\bigg\lfloor\frac{x }{m}\bigg\rfloor $

Published on 29 Mar 2016 - 10:19

score 400 · Answer 2 · 2016-04-01 11:05:07

400

Views

Number of values of $x\in [0,\pi]$ where $f(x)=\lfloor 4\sin x-7\rfloor$ is non derivable is?

Published on 01 Apr 2016 - 11:05

score 117 · Answer 3 · 2026-04-01 11:25:05

117

Views

Floor Function and Euler-Mascheroni Constant

Published on 01 Apr 2026 - 11:25

score 583 · Answer 4 · 2026-04-01 11:25:05

583

Views

Sums involving floor function

Published on 01 Apr 2026 - 11:25

score 497 · Answer 5 · 2026-03-31 19:16:59

497

Views

Find polynomial congruent to function modulo 6

Published on 31 Mar 2026 - 19:16

score 108 · Answer 6 · 2016-04-08 13:01:13

108

Views

Different ways of evaluating $n!$?

Published on 08 Apr 2016 - 13:01

score 334 · Answer 7 · 2016-04-08 20:26:14

334

Views

How to prove or disprove $\forall x\in\Bbb{R}, \forall n\in\Bbb{N},n\gt 0\implies \lfloor\frac{\lfloor x\rfloor}{n}\rfloor=\lfloor\frac{x}{n}\rfloor$.

Published on 08 Apr 2016 - 20:26

score 1.6k · Answer 8 · 2016-04-09 11:19:01

1.6k

Views

Find the solution of $\lfloor \sin^{-1}(x)\rfloor>\lfloor \cos^{-1}(x)\rfloor$

Published on 09 Apr 2016 - 11:19

score 460 · Answer 9 · 2026-03-26 08:05:23

460

Views

How would I compute this integral with a ceiling function?

Published on 26 Mar 2026 - 8:05

score 27 · Answer 10 · 2016-04-10 23:55:57

27

Views

How to prove $|n-m|\lt d\implies |f(n)-f(m)|\lt e$ for the following condition?

Published on 10 Apr 2016 - 23:55

score 1.2k · Answer 11 · 2016-04-13 04:20:34

1.2k

Views

Moving terms outside of a floor

Published on 13 Apr 2016 - 4:20

score 153 · Answer 12 · 2016-04-18 17:35:28

153

Views

Proof of $\sum_{j=1}^{p-1} \lfloor jq/p \rfloor = \frac{1}{2}(q-1)(p-1)$ Involving Pairing of Summands

Published on 18 Apr 2016 - 17:35

score 351 · Answer 13 · 2026-03-26 04:36:23

351

Views

Sum of number-of-divisors function equals $\sum_{j=1}^{n} \lfloor n/j \rfloor$.

Published on 26 Mar 2026 - 4:36

score 299 · Answer 14 · 2016-04-19 22:03:34

299

Views

Summation over a floor function of a first degree polynomial

Published on 19 Apr 2016 - 22:03

score 40 · Answer 15 · 2016-04-20 02:28:59

40

Views

Find when ceiling functions differ by one

Published on 20 Apr 2016 - 2:28

List Question

Prove $\bigg\lfloor\frac{\lfloor x \rfloor }{m}\bigg\rfloor =\bigg\lfloor\frac{x }{m}\bigg\rfloor $

Number of values of $x\in [0,\pi]$ where $f(x)=\lfloor 4\sin x-7\rfloor$ is non derivable is?

Floor Function and Euler-Mascheroni Constant

Sums involving floor function

Find polynomial congruent to function modulo 6

Different ways of evaluating $n!$?

How to prove or disprove $\forall x\in\Bbb{R}, \forall n\in\Bbb{N},n\gt 0\implies \lfloor\frac{\lfloor x\rfloor}{n}\rfloor=\lfloor\frac{x}{n}\rfloor$.

Find the solution of $\lfloor \sin^{-1}(x)\rfloor>\lfloor \cos^{-1}(x)\rfloor$

How would I compute this integral with a ceiling function?

How to prove $|n-m|\lt d\implies |f(n)-f(m)|\lt e$ for the following condition?

Moving terms outside of a floor

Proof of $\sum_{j=1}^{p-1} \lfloor jq/p \rfloor = \frac{1}{2}(q-1)(p-1)$ Involving Pairing of Summands

Sum of number-of-divisors function equals $\sum_{j=1}^{n} \lfloor n/j \rfloor$.

Summation over a floor function of a first degree polynomial

Find when ceiling functions differ by one

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