Question

Least integer function and Greatest Integer Function Without using ceil() and Floor()

score 1k · Answer 1 · 2015-04-29 15:55:46

1k

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Least integer function and Greatest Integer Function Without using ceil() and Floor()

Published on 29 Apr 2015 - 15:55

score 824 · Answer 2 · 2026-03-26 21:26:24

824

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Compare $\sum_{k=1}^n \left\lfloor \frac{k}{\varphi}\right\rfloor$ ...

Published on 26 Mar 2026 - 21:26

score 701 · Answer 3 · 2015-05-05 16:04:04

701

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Find the limit of a $f(x)=\frac{\lfloor x^2\rfloor}{x^2}$ at an arbitrary point

Published on 05 May 2015 - 16:04

score 160 · Answer 4 · 2015-05-05 16:22:07

For $n>2, n\in\mathbb{Z}$, why is this true: $\left\lfloor 1/\left(\frac{1}{n^2}+\frac{1}{(n+1)^2}+\cdots+\frac{1}{(n+n)^2}\right)\right\rfloor=2n-3$

score 150 · Answer 5 · 2015-05-05 18:57:57

150

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How do I solve this integral $\int_{e}^{4+e} (3x- \lfloor 3x \rfloor)dx$?

Published on 05 May 2015 - 18:57

score 847 · Answer 6 · 2015-05-10 15:30:29

847

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Solving equations including floor function.

Published on 10 May 2015 - 15:30

score 125 · Answer 7 · 2015-05-13 06:22:02

125

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Solving an inequality involving a floor

Published on 13 May 2015 - 6:22

score 1.2k · Answer 8 · 2015-05-14 10:47:37

1.2k

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Prove that $\left\lceil \frac{n}{m} \right\rceil =\left \lfloor \frac{n+m-1}{m} \right\rfloor$

Published on 14 May 2015 - 10:47

score 134 · Answer 9 · 2015-05-16 22:07:59

134

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Integer division through multiplication by reciprocal

Published on 16 May 2015 - 22:07

score 494 · Answer 10 · 2015-05-20 10:26:18

494

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Multiplying a floor function to a number

Published on 20 May 2015 - 10:26

score 8.2k · Answer 11 · 2015-05-21 16:41:25

8.2k

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Floor function to the base 2

Published on 21 May 2015 - 16:41

score 216 · Answer 12 · 2015-05-22 05:37:47

216

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The integer part of $x+1$ is the integer part of $x$ plus $1$

Published on 22 May 2015 - 5:37

score 445 · Answer 13 · 2015-05-26 15:10:05

445

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Approximate summation of flooring function

Published on 26 May 2015 - 15:10

score 61 · Answer 14 · 2015-05-28 01:02:38

61

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Are the following expression equivalent?

Published on 28 May 2015 - 1:02

score 692 · Answer 15 · 2026-03-28 18:17:02

692

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Concerning Roots of the cubic equation $f(x)=x^3+x^2-5x-1$ and the Greatest Integer (or Floor) function

Published on 28 Mar 2026 - 18:17

List Question

Least integer function and Greatest Integer Function Without using ceil() and Floor()

Compare $\sum_{k=1}^n \left\lfloor \frac{k}{\varphi}\right\rfloor$ ...

Find the limit of a $f(x)=\frac{\lfloor x^2\rfloor}{x^2}$ at an arbitrary point

For $n>2, n\in\mathbb{Z}$, why is this true: $\left\lfloor 1/\left(\frac{1}{n^2}+\frac{1}{(n+1)^2}+\cdots+\frac{1}{(n+n)^2}\right)\right\rfloor=2n-3$

How do I solve this integral $\int_{e}^{4+e} (3x- \lfloor 3x \rfloor)dx$?

Solving equations including floor function.

Solving an inequality involving a floor

Prove that $\left\lceil \frac{n}{m} \right\rceil =\left \lfloor \frac{n+m-1}{m} \right\rfloor$

Integer division through multiplication by reciprocal

Multiplying a floor function to a number

Floor function to the base 2

The integer part of $x+1$ is the integer part of $x$ plus $1$

Approximate summation of flooring function

Are the following expression equivalent?

Concerning Roots of the cubic equation $f(x)=x^3+x^2-5x-1$ and the Greatest Integer (or Floor) function

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