List questions from ceiling-and-floor-functions

Published on 17 Feb 2021 - 21:38

51

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$λ > 0$ such that $2\lfloor{\lambda n}\rfloor = 1 - n + \lfloor\lambda \lfloor\lambda n \rfloor\rfloor$ is true for all positive integers n.

Published on 18 Feb 2021 - 14:11

60

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Number of roots of $\lfloor\frac x3\rfloor=\frac x2$

Published on 20 Feb 2021 - 19:59

47

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System of Equations İnvolving Floor Function

Published on 21 Feb 2021 - 16:24

106

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Floor function with Multiplier

Published on 22 Feb 2021 - 1:25

44

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Inequality with a floor function

Published on 23 Feb 2021 - 2:26

303

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Evaluating $\int\limits_{1}^{\infty} \frac{1}{\lfloor{x}\rfloor!}dx$

Published on 23 Feb 2021 - 9:12

65

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How common are integer solutions to this problem?

Published on 26 Feb 2021 - 17:52

90

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Floor function proof :

Published on 28 Feb 2021 - 20:31

60

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Size of a set of integers

Published on 02 Mar 2021 - 16:34

50

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Find the smallest integer k such that $n \le \lceil(3/2)^k\rceil$

Published on 03 Mar 2021 - 16:04

58

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I need a hint to combine the two sums into only one

Published on 06 Mar 2021 - 20:02

736

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The formula for the integral of the floor function, and ceiling function from $0$ to $x$.

Published on 07 Mar 2021 - 20:53

38

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Necessary and sufficient so that $\left\lfloor {\frac{a}{N}} \right\rfloor = \left\lfloor {\frac{b}{N}} \right\rfloor$

Published on 10 Mar 2021 - 15:49

71

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floor function inequality $n+ \left \lfloor \tfrac{n}{3} \right \rfloor \le x$

Published on 11 Mar 2021 - 20:25

List Question

Negation of "For all x ∈ R, if ⌊5x⌋ = 5⌊x⌋, then x ∈ Z"

$λ > 0$ such that $2\lfloor{\lambda n}\rfloor = 1 - n + \lfloor\lambda \lfloor\lambda n \rfloor\rfloor$ is true for all positive integers n.

Number of roots of $\lfloor\frac x3\rfloor=\frac x2$

System of Equations İnvolving Floor Function

Floor function with Multiplier

Inequality with a floor function

Evaluating $\int\limits_{1}^{\infty} \frac{1}{\lfloor{x}\rfloor!}dx$

How common are integer solutions to this problem?

Floor function proof :

Size of a set of integers

Find the smallest integer k such that $n \le \lceil(3/2)^k\rceil$

I need a hint to combine the two sums into only one

The formula for the integral of the floor function, and ceiling function from $0$ to $x$.

Necessary and sufficient so that $\left\lfloor {\frac{a}{N}} \right\rfloor = \left\lfloor {\frac{b}{N}} \right\rfloor$

floor function inequality $n+ \left \lfloor \tfrac{n}{3} \right \rfloor \le x$

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