List questions from ceiling-and-floor-functions

Published on 22 Oct 2013 - 22:26

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For $n \in \mathbb{N}$ how many times do I have to do this: $k=\lfloor \frac{n}{2} \rfloor$ till $k=1$?

Published on 24 Oct 2013 - 11:11

857

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Hard floor function problem

Published on 27 Oct 2013 - 5:37

3k

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Proof of floor and ceiling functions

Published on 31 Oct 2013 - 6:00

269

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$a_1=1,a_{n+1}=\frac{n}{a_n}+\frac{a_n}{n}$. Prove that for $n\ge4$, $\lfloor{a_n^2}\rfloor=n$

Published on 15 Nov 2013 - 6:26

115

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$(\left\lfloor\frac{n}{3}\right\rfloor)_{n \in \mathbb{N}}$ is a subsequence of $(\left\lfloor\frac{n}{5}\right\rfloor)_{n \in \mathbb{N}}$

Published on 16 Nov 2013 - 15:47

105

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Finding integer solutions to this equation

Published on 17 Nov 2013 - 3:03

1.1k

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Limit of floor function

Published on 18 Nov 2013 - 7:40

9.4k

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Floor and ceiling function proof

Published on 18 Nov 2013 - 18:16

385

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Proof ceiling function monotonocity?

Published on 22 Nov 2013 - 19:06

113

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Floor equation, determine solutions

Published on 23 Nov 2013 - 18:10

10.8k

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How do you use floor/ceil in math, e.g. how does it work exactly?

Published on 26 Nov 2013 - 0:58

688

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Solving an equation involving floor/ceiling as a summation bound

Published on 30 Mar 2026 - 0:18

219

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Limit of $f(x)=x^2\left(1+2+\cdots+\left\lfloor \frac1{|x|} \right\rfloor\right) $

Published on 27 Nov 2013 - 0:34

741

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How does a piecewise step function work?

Published on 27 Nov 2013 - 7:42

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How to invert number of days since 1 JAN 2000

For $n \in \mathbb{N}$ how many times do I have to do this: $k=\lfloor \frac{n}{2} \rfloor$ till $k=1$?

Hard floor function problem

Proof of floor and ceiling functions

$a_1=1,a_{n+1}=\frac{n}{a_n}+\frac{a_n}{n}$. Prove that for $n\ge4$, $\lfloor{a_n^2}\rfloor=n$

$(\left\lfloor\frac{n}{3}\right\rfloor)_{n \in \mathbb{N}}$ is a subsequence of $(\left\lfloor\frac{n}{5}\right\rfloor)_{n \in \mathbb{N}}$

Finding integer solutions to this equation

Limit of floor function

Floor and ceiling function proof

Proof ceiling function monotonocity?

Floor equation, determine solutions

How do you use floor/ceil in math, e.g. how does it work exactly?

Solving an equation involving floor/ceiling as a summation bound

Limit of $f(x)=x^2\left(1+2+\cdots+\left\lfloor \frac1{|x|} \right\rfloor\right) $

How does a piecewise step function work?

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