Question

How to integrate floor function: $\int_{0}^{2}\left \lfloor{e^x}\right \rfloor dx$

score 79 · Answer 1 · 2020-01-06 18:49:17

79

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How to integrate floor function: $\int_{0}^{2}\left \lfloor{e^x}\right \rfloor dx$

Published on 06 Jan 2020 - 18:49

score 92 · Answer 2 · 2020-01-07 11:55:16

92

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Let $A = \frac{1}{\frac{1}{2011}+\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}}$.

Published on 07 Jan 2020 - 11:55

score 384 · Answer 3 · 2020-01-07 15:13:30

384

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Calculate the maximum value of $\lfloor x\lfloor x \rfloor \rfloor + \lfloor y\lfloor y \rfloor \rfloor$.

Published on 07 Jan 2020 - 15:13

score 173 · Answer 4 · 2026-03-27 17:25:32

173

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Limit of a sequence involving floor function

Published on 27 Mar 2026 - 17:25

score 534 · Answer 5 · 2026-02-23 07:44:15

534

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How to Explicitly Round to a Given Number of Significant Digits

Published on 23 Feb 2026 - 7:44

score 153 · Answer 6 · 2020-01-10 14:39:27

153

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A question about floor functions, exponents, and congruence classes

Published on 10 Jan 2020 - 14:39

score 95 · Answer 7 · 2020-01-11 06:42:06

95

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Reasoning about floor functions and exponents

Published on 11 Jan 2020 - 6:42

score 160 · Answer 8 · 2020-01-13 17:12:58

160

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calculating sum of floor function regardless of greatest common divisor

Published on 13 Jan 2020 - 17:12

score 237 · Answer 9 · 2020-01-14 20:49:32

237

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Reference request: generating functions of Beatty sequences

Published on 14 Jan 2020 - 20:49

score 313 · Answer 10 · 2020-01-21 15:29:14

313

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Find the limit $\lim_{x\to 0} x\left(\left[\frac{1}{x}\right] +\left[\frac{2}{x}\right] +\cdots \left[\frac{10}{x}\right] \right)$

Published on 21 Jan 2020 - 15:29

score 61 · Answer 11 · 2020-01-24 12:40:14

61

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Proof for an easy empirical result on fractions and ceilings

Published on 24 Jan 2020 - 12:40

score 79 · Answer 12 · 2020-01-26 05:40:28

79

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My approach -Equation involving ceiling and floor

Published on 26 Jan 2020 - 5:40

score 45 · Answer 13 · 2020-01-26 10:56:46

45

Views

Given $\log(n + 1)-1\le h\le\log n$. How does $h$ turn out to be $\lfloor \log n \rfloor$?

Published on 26 Jan 2020 - 10:56

score 47 · Answer 14 · 2020-01-29 00:29:14

47

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Proving a property of Floor

Published on 29 Jan 2020 - 0:29

score 206 · Answer 15 · 2020-01-29 21:21:00

206

Views

Limit involving floor function summation

Published on 29 Jan 2020 - 21:21

List Question

How to integrate floor function: $\int_{0}^{2}\left \lfloor{e^x}\right \rfloor dx$

Let $A = \frac{1}{\frac{1}{2011}+\frac{1}{2012}+\frac{1}{2013}+\frac{1}{2014}+\frac{1}{2015}+\frac{1}{2016}}$.

Calculate the maximum value of $\lfloor x\lfloor x \rfloor \rfloor + \lfloor y\lfloor y \rfloor \rfloor$.

Limit of a sequence involving floor function

How to Explicitly Round to a Given Number of Significant Digits

A question about floor functions, exponents, and congruence classes

Reasoning about floor functions and exponents

calculating sum of floor function regardless of greatest common divisor

Reference request: generating functions of Beatty sequences

Find the limit $\lim_{x\to 0} x\left(\left[\frac{1}{x}\right] +\left[\frac{2}{x}\right] +\cdots \left[\frac{10}{x}\right] \right)$

Proof for an easy empirical result on fractions and ceilings

My approach -Equation involving ceiling and floor

Given $\log(n + 1)-1\le h\le\log n$. How does $h$ turn out to be $\lfloor \log n \rfloor$?

Proving a property of Floor

Limit involving floor function summation

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