List questions from ceiling-and-floor-functions

Published on 24 Jan 2021 - 8:17

135

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Prove that $\lfloor 5x\rfloor + \lfloor 5y\rfloor \ge \lfloor {3x+y}\rfloor + \lfloor {x+3y}\rfloor$

Published on 25 Jan 2021 - 19:16

101

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Integral of a floor function $\iint_D [x + y] \, dx\, dy$

Published on 25 Jan 2021 - 19:29

100

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Question about proving ceiling function equivalence relation

Published on 28 Jan 2021 - 17:18

140

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Sum of floors inequality

Published on 29 Jan 2021 - 5:43

87

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${\{n\sqrt{2}\}>\frac{1}{2n\sqrt{2}}}$ for all $n\in \mathbb{N}^*$

Published on 30 Jan 2021 - 17:26

98

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Prove that $\left \lfloor \frac{1+\lfloor na+1/a\rfloor}{a} \right \rfloor=n$

Published on 27 Mar 2026 - 17:57

42

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Sum of a number of terms of $\left\lceil \frac{n}{2} \right\rceil $

Published on 31 Jan 2021 - 17:49

202

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Solve the equation: $\lfloor a/2\rfloor+\lfloor a/3\rfloor+\lfloor a/5\rfloor=a$, where $a> 0$.

Published on 06 Feb 2021 - 23:29

96

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When is floor function homogeneous?

Published on 07 Feb 2021 - 12:01

151

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sum of floor function simplification

Published on 09 Feb 2021 - 19:58

55

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Some alternating sum of integer part of $\frac{kb}{1722}$.

Published on 10 Feb 2021 - 0:19

80

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Finding solutions to $[x]^2 + 2[x]-3x=0$

Published on 11 Feb 2021 - 18:01

819

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Show that $2^n<2^{\lceil n \log_23\rceil}-3^n<3^n-2^n$

Published on 29 Mar 2026 - 20:04

61

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Minimum value of $ \lceil{an}\rceil-an $, where a is irrational.

Published on 31 Mar 2026 - 7:52

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Greatest Integer Function and graphing

Prove that $\lfloor 5x\rfloor + \lfloor 5y\rfloor \ge \lfloor {3x+y}\rfloor + \lfloor {x+3y}\rfloor$

Integral of a floor function $\iint_D [x + y] \, dx\, dy$

Question about proving ceiling function equivalence relation

Sum of floors inequality

${\{n\sqrt{2}\}>\frac{1}{2n\sqrt{2}}}$ for all $n\in \mathbb{N}^*$

Prove that $\left \lfloor \frac{1+\lfloor na+1/a\rfloor}{a} \right \rfloor=n$

Sum of a number of terms of $\left\lceil \frac{n}{2} \right\rceil $

Solve the equation: $\lfloor a/2\rfloor+\lfloor a/3\rfloor+\lfloor a/5\rfloor=a$, where $a> 0$.

When is floor function homogeneous?

sum of floor function simplification

Some alternating sum of integer part of $\frac{kb}{1722}$.

Finding solutions to $[x]^2 + 2[x]-3x=0$

Show that $2^n<2^{\lceil n \log_23\rceil}-3^n<3^n-2^n$

Minimum value of $ \lceil{an}\rceil-an $, where a is irrational.

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