List questions from ceiling-and-floor-functions

Published on 16 Mar 2015 - 4:50

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A relation with limits

Published on 16 Mar 2015 - 11:43

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What is ⌊0.9 recurring ⌋?

Published on 16 Mar 2015 - 11:56

89

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Inequalities with floor function

Published on 18 Mar 2015 - 23:22

29

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How can we prove that $\left(\frac{1}{2^n}\lfloor 2^nX\rfloor\right)_{n\in\mathbb{N}}\uparrow X$?

Published on 19 Mar 2015 - 10:55

318

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Prove this Floor function indentity $\sum_{k=0}^{n-1} \bigl\lfloor \frac{ak+b}{c} \bigr\rfloor$

Published on 21 Mar 2015 - 3:00

312

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How to calculate the Integer portion of a fraction using only +, -, $\div$ and *?

Published on 23 Mar 2015 - 11:32

204

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Number Theory : Show that $\sum_{i=0}^\infty$ $ [\frac{n}{2^i}+\frac{1}{2}]$ $=$ $2n$

Published on 23 Mar 2015 - 14:11

109

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Sum of floor functions

Published on 23 Mar 2015 - 14:58

32

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Prove that the number of words in a positive integer a in base Beta is 1 + ilog(a)/BPW where Beta = pow(2, BPW)

Published on 25 Mar 2015 - 11:54

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Trouble proving floor function is onto?

Published on 25 Mar 2015 - 21:41

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How to prove that the $\lceil xy \rceil \le \lceil x \rceil \lceil y \rceil$ for positive real numbers $x, y$?

Published on 29 Mar 2015 - 22:42

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Proving two equations containing ceiling and floor function to be equal

Published on 30 Mar 2015 - 0:38

65

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Can we deduce from the equality that $\max \{n-q,q-1\} \in \left[ \frac{n}{2},n \right)$?

Published on 30 Mar 2015 - 0:39

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Proving statements about ceiling and floor functions.

Published on 31 Mar 2015 - 2:35

List Question

Floor function of a factorial

A relation with limits

What is ⌊0.9 recurring ⌋?

Inequalities with floor function

How can we prove that $\left(\frac{1}{2^n}\lfloor 2^nX\rfloor\right)_{n\in\mathbb{N}}\uparrow X$?

Prove this Floor function indentity $\sum_{k=0}^{n-1} \bigl\lfloor \frac{ak+b}{c} \bigr\rfloor$

How to calculate the Integer portion of a fraction using only +, -, $\div$ and *?

Number Theory : Show that $\sum_{i=0}^\infty$ $ [\frac{n}{2^i}+\frac{1}{2}]$ $=$ $2n$

Sum of floor functions

Prove that the number of words in a positive integer a in base Beta is 1 + ilog(a)/BPW where Beta = pow(2, BPW)

Trouble proving floor function is onto?

How to prove that the $\lceil xy \rceil \le \lceil x \rceil \lceil y \rceil$ for positive real numbers $x, y$?

Proving two equations containing ceiling and floor function to be equal

Can we deduce from the equality that $\max \{n-q,q-1\} \in \left[ \frac{n}{2},n \right)$?

Proving statements about ceiling and floor functions.

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