Question

Number of multiples of m among integer interval $[\![ 1,n ]\!]$

score 97 · Answer 1 · 2022-11-07 11:04:18

97

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Number of multiples of m among integer interval $[\![ 1,n ]\!]$

Published on 07 Nov 2022 - 11:04

score 68 · Answer 2 · 2022-11-07 21:15:34

68

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How to get the general formula for this recursive problem containing flooring function?

Published on 07 Nov 2022 - 21:15

score 93 · Answer 3 · 2022-11-17 12:24:40

93

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On the Diophantine equation $2(x^3 - x) = y^3 - y$

Published on 17 Nov 2022 - 12:24

score 62 · Answer 4 · 2022-11-25 13:27:16

62

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Evaluating $\int_{-1}^2 {\lfloor x\rfloor}^{x-\lfloor x\rfloor}dx$

Published on 25 Nov 2022 - 13:27

score 163 · Answer 5 · 2022-11-27 19:40:40

163

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How to solve this limit of greatest integer function (floor function)?

Published on 27 Nov 2022 - 19:40

score 113 · Answer 6 · 2022-12-03 17:13:02

113

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$\Bigl\lfloor{\sqrt{n}+1/2\Bigl\rfloor}=\Bigl\lfloor{\sqrt{n-3/4}+1/2\Bigl\rfloor}$ for $n \in \mathbb{N}$

Published on 03 Dec 2022 - 17:13

score 302 · Answer 7 · 2026-03-27 05:37:44

302

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Behrend's construction on large 3-AP-free set

Published on 27 Mar 2026 - 5:37

score 57 · Answer 8 · 2022-12-10 03:24:06

57

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Prove that at an arbitrarily chosen x the sequence $\frac{\lfloor(nx)\rfloor}{n}$ is bounded.

Published on 10 Dec 2022 - 3:24

score 95 · Answer 9 · 2022-12-12 10:52:22

95

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Inequality of Floor function

Published on 12 Dec 2022 - 10:52

score 119 · Answer 10 · 2022-12-17 22:26:49

119

Views

How to prove the ceiling relations stated in CLRS Introduction to Algorithms book?

Published on 17 Dec 2022 - 22:26

score 63 · Answer 11 · 2026-04-01 12:51:57

How to solve the equation $\left \lceil {\left ( 3 \over 2 \right )}^K \right \rceil = \left \lfloor {3^K - 1} \over {2^K - 1} \right \rfloor$

score 347 · Answer 12 · 2022-12-25 04:59:34

347

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What functions from $\Bbb N\to\Bbb N$ can be made from $+$, $-$, $\times$, $\div$, exponentiation, and $\lfloor\cdot\rfloor$?

Published on 25 Dec 2022 - 4:59

score 102 · Answer 13 · 2026-04-06 05:48:04

102

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floor functional equation

Published on 06 Apr 2026 - 5:48

score 31 · Answer 14 · 2022-12-29 11:40:43

31

Views

How to prove whether following inequality holds

Published on 29 Dec 2022 - 11:40

score 95 · Answer 15 · 2022-12-29 14:16:15

95

Views

Find the greatest integer in the expression below as a function of the given conditions

Published on 29 Dec 2022 - 14:16

List Question

Number of multiples of m among integer interval $[\![ 1,n ]\!]$

How to get the general formula for this recursive problem containing flooring function?

On the Diophantine equation $2(x^3 - x) = y^3 - y$

Evaluating $\int_{-1}^2 {\lfloor x\rfloor}^{x-\lfloor x\rfloor}dx$

How to solve this limit of greatest integer function (floor function)?

$\Bigl\lfloor{\sqrt{n}+1/2\Bigl\rfloor}=\Bigl\lfloor{\sqrt{n-3/4}+1/2\Bigl\rfloor}$ for $n \in \mathbb{N}$

Behrend's construction on large 3-AP-free set

Prove that at an arbitrarily chosen x the sequence $\frac{\lfloor(nx)\rfloor}{n}$ is bounded.

Inequality of Floor function

How to prove the ceiling relations stated in CLRS Introduction to Algorithms book?

How to solve the equation $\left \lceil {\left ( 3 \over 2 \right )}^K \right \rceil = \left \lfloor {3^K - 1} \over {2^K - 1} \right \rfloor$

What functions from $\Bbb N\to\Bbb N$ can be made from $+$, $-$, $\times$, $\div$, exponentiation, and $\lfloor\cdot\rfloor$?

floor functional equation

How to prove whether following inequality holds

Find the greatest integer in the expression below as a function of the given conditions

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