Question

integration of composition of 2 functions

score 66 · Answer 1 · 2017-09-23 06:03:12

66

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integration of composition of 2 functions

Published on 23 Sep 2017 - 6:03

score 124 · Answer 2 · 2017-09-24 01:41:28

124

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Proving an identity in floor function

Published on 24 Sep 2017 - 1:41

score 517 · Answer 3 · 2026-03-29 17:33:42

517

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Is this a known method for positive integer floor division through multiplication?

Published on 29 Mar 2026 - 17:33

score 270 · Answer 4 · 2017-09-27 17:13:22

270

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system of equation with floor function

Published on 27 Sep 2017 - 17:13

score 218 · Answer 5 · 2017-09-29 08:08:17

218

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Values for which $\lfloor x/y \rfloor = \big\lfloor \lfloor x \rfloor / \lfloor y \rfloor \big\rfloor$

Published on 29 Sep 2017 - 8:08

score 205 · Answer 6 · 2017-09-29 23:30:34

205

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Primes of Atlantis: a definition and a problem

Published on 29 Sep 2017 - 23:30

score 65 · Answer 7 · 2017-10-01 05:57:01

65

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Is $\left\lfloor \frac{n}{p^i}\right\rfloor>\frac{n}{p^{i+1}}$, for $n\ge1$, $p\le n$ any prime, and $0\le i\le\lfloor \log_p n\rfloor$?

Published on 01 Oct 2017 - 5:57

score 2k · Answer 8 · 2017-10-01 17:43:42

2k

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Domain and range of a floor function

Published on 01 Oct 2017 - 17:43

score 354 · Answer 9 · 2017-10-01 18:28:25

354

Views

How can find domain and range of $f(x)=\sqrt{\sqrt 2 \lfloor x \rfloor - \lfloor\sqrt 2x \rfloor}$?

Published on 01 Oct 2017 - 18:28

score 103 · Answer 10 · 2017-10-03 05:34:18

103

Views

What is the full asymptotic expansion of $\sum\limits_{a = 1}^{p - 1} \lfloor{\frac{N + a}{p}}\rfloor$ as $N \rightarrow \infty$

Published on 03 Oct 2017 - 5:34

score 21.8k · Answer 11 · 2017-10-03 12:25:54

21.8k

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Prove that the greatest integer function $\lfloor x\rfloor$ is continuous at all points except at integer points.

Published on 03 Oct 2017 - 12:25

score 953 · Answer 12 · 2017-10-06 13:08:48

953

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Question about floor function $\lfloor nx\rfloor$ and what it equals

Published on 06 Oct 2017 - 13:08

score 72 · Answer 13 · 2017-10-06 13:15:42

72

Views

An analytical way to find range of $f(x)=\frac{x}{\lfloor x\rfloor}$

Published on 06 Oct 2017 - 13:15

score 161 · Answer 14 · 2026-03-30 13:34:39

161

Views

Sum of a floor function

Published on 30 Mar 2026 - 13:34

score 643 · Answer 15 · 2017-10-10 19:53:55

643

Views

Prove the following sequence always results in a perfect square.

Published on 10 Oct 2017 - 19:53

List Question

integration of composition of 2 functions

Proving an identity in floor function

Is this a known method for positive integer floor division through multiplication?

system of equation with floor function

Values for which $\lfloor x/y \rfloor = \big\lfloor \lfloor x \rfloor / \lfloor y \rfloor \big\rfloor$

Primes of Atlantis: a definition and a problem

Is $\left\lfloor \frac{n}{p^i}\right\rfloor>\frac{n}{p^{i+1}}$, for $n\ge1$, $p\le n$ any prime, and $0\le i\le\lfloor \log_p n\rfloor$?

Domain and range of a floor function

How can find domain and range of $f(x)=\sqrt{\sqrt 2 \lfloor x \rfloor - \lfloor\sqrt 2x \rfloor}$?

What is the full asymptotic expansion of $\sum\limits_{a = 1}^{p - 1} \lfloor{\frac{N + a}{p}}\rfloor$ as $N \rightarrow \infty$

Prove that the greatest integer function $\lfloor x\rfloor$ is continuous at all points except at integer points.

Question about floor function $\lfloor nx\rfloor$ and what it equals

An analytical way to find range of $f(x)=\frac{x}{\lfloor x\rfloor}$

Sum of a floor function

Prove the following sequence always results in a perfect square.

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