Question

Proof for $\left\lfloor\frac 1j\left\lfloor\frac nk\right\rfloor\right\rfloor=\left\lfloor\frac n{jk}\right\rfloor$

score 393 · Answer 1 · 2015-06-25 07:37:09

393

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Proof for $\left\lfloor\frac 1j\left\lfloor\frac nk\right\rfloor\right\rfloor=\left\lfloor\frac n{jk}\right\rfloor$

Published on 25 Jun 2015 - 7:37

score 299 · Answer 2 · 2015-06-28 00:33:02

299

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how to sum the floors of ratios n/k when prime factorization of n is known

Published on 28 Jun 2015 - 0:33

score 50 · Answer 3 · 2015-06-28 21:00:05

50

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How many coins do we need to get $k$ amount

Published on 28 Jun 2015 - 21:00

score 90 · Answer 4 · 2015-07-04 13:54:23

90

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Arrangement of any number of objects from $n$ objects

Published on 04 Jul 2015 - 13:54

score 848 · Answer 5 · 2015-07-06 11:09:07

848

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floor function problems

Published on 06 Jul 2015 - 11:09

score 104 · Answer 6 · 2015-07-08 20:56:26

104

Views

Proving basic floor function inequality: $-1 \lt \lfloor 2x \rfloor - 2 \lfloor x \rfloor \lt 2$

Published on 08 Jul 2015 - 20:56

score 209 · Answer 7 · 2026-03-30 23:03:13

209

Views

What is $\left\lfloor0.\overline{9}\right\rfloor$?

Published on 30 Mar 2026 - 23:03

score 122 · Answer 8 · 2015-07-22 03:56:24

122

Views

Prove the following floor function identity

Published on 22 Jul 2015 - 3:56

score 501 · Answer 9 · 2015-07-22 15:43:25

501

Views

Possible value of $x$ so that fractions are in simplest form.

Published on 22 Jul 2015 - 15:43

score 3.8k · Answer 10 · 2015-07-22 22:17:28

3.8k

Views

Solving recurrence equation with floor and ceil functions

Published on 22 Jul 2015 - 22:17

score 91 · Answer 11 · 2015-07-23 21:23:33

91

Views

Left and Right limits of $\lfloor\lfloor x\rfloor\rfloor$ at $x = 0$

Published on 23 Jul 2015 - 21:23

score 622 · Answer 12 · 2015-07-24 22:53:11

622

Views

Maximum and minimum of a sum involving floor functions of rational numbers (contest question)

Published on 24 Jul 2015 - 22:53

score 1.3k · Answer 13 · 2015-07-29 03:33:46

1.3k

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Challenging $\lim_{x \rightarrow 10} \frac{1}{\lfloor x \rfloor} = \frac{1}{10}$ for $\epsilon=\frac{1}{2}$.

Published on 29 Jul 2015 - 3:33

score 370 · Answer 14 · 2015-07-31 05:31:02

370

Views

Closed form for a floor sum

Published on 31 Jul 2015 - 5:31

score 96 · Answer 15 · 2015-08-03 17:27:47

96

Views

How to solve $\lfloor \sqrt{(k + 1)\cdot2009} \rfloor = \lfloor \sqrt{k\cdot2009} \rfloor$

Published on 03 Aug 2015 - 17:27

List Question

Proof for $\left\lfloor\frac 1j\left\lfloor\frac nk\right\rfloor\right\rfloor=\left\lfloor\frac n{jk}\right\rfloor$

how to sum the floors of ratios n/k when prime factorization of n is known

How many coins do we need to get $k$ amount

Arrangement of any number of objects from $n$ objects

floor function problems

Proving basic floor function inequality: $-1 \lt \lfloor 2x \rfloor - 2 \lfloor x \rfloor \lt 2$

What is $\left\lfloor0.\overline{9}\right\rfloor$?

Prove the following floor function identity

Possible value of $x$ so that fractions are in simplest form.

Solving recurrence equation with floor and ceil functions

Left and Right limits of $\lfloor\lfloor x\rfloor\rfloor$ at $x = 0$

Maximum and minimum of a sum involving floor functions of rational numbers (contest question)

Challenging $\lim_{x \rightarrow 10} \frac{1}{\lfloor x \rfloor} = \frac{1}{10}$ for $\epsilon=\frac{1}{2}$.

Closed form for a floor sum

How to solve $\lfloor \sqrt{(k + 1)\cdot2009} \rfloor = \lfloor \sqrt{k\cdot2009} \rfloor$

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