Question

Given a real number $x$ there exist unique numbers $n$ and $\epsilon$ such that $x=n+\epsilon$ where $n$ is an integer and $0\leq\epsilon<1$

score 5k · Answer 1 · 2015-02-20 00:44:33

Given a real number $x$ there exist unique numbers $n$ and $\epsilon$ such that $x=n+\epsilon$ where $n$ is an integer and $0\leq\epsilon<1$

score 1.6k · Answer 2 · 2015-02-20 21:16:26

1.6k

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Geometric progression of terms involving floor function

Published on 20 Feb 2015 - 21:16

score 606 · Answer 3 · 2015-02-23 22:15:11

606

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Solve an Equation with Ceiling Function

Published on 23 Feb 2015 - 22:15

score 641 · Answer 4 · 2015-02-24 17:36:29

641

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limit of a floor function

Published on 24 Feb 2015 - 17:36

score 38 · Answer 5 · 2015-02-26 11:10:23

38

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Product of a prime and other number expressed in two ways are equal

Published on 26 Feb 2015 - 11:10

score 184 · Answer 6 · 2015-02-27 10:01:09

184

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Calculate $\lim_{x \to 0^+} x\lfloor 1/x\rfloor$

Published on 27 Feb 2015 - 10:01

score 78 · Answer 7 · 2015-02-27 13:59:20

78

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How do I solve $N = \lfloor\dfrac{A-B}{B}\rfloor$ for $A$

Published on 27 Feb 2015 - 13:59

score 132 · Answer 8 · 2015-02-28 05:44:15

132

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Find $\lim_\limits{x\to 0}{x\left[1\over x\right]}$. Am I correct?

Published on 28 Feb 2015 - 5:44

score 118 · Answer 9 · 2026-03-31 14:29:10

118

Views

Finding an $f(x,y,n)$ such that $round[f(x,y,n)] = \lfloor\frac xn \rfloor + \lfloor\frac yn \rfloor$

Published on 31 Mar 2026 - 14:29

score 404 · Answer 10 · 2026-03-26 17:29:30

404

Views

Restating a floor function as a finite sum

Published on 26 Mar 2026 - 17:29

score 86 · Answer 11 · 2015-03-05 05:46:24

86

Views

Floor function right hand limit

Published on 05 Mar 2015 - 5:46

score 941 · Answer 12 · 2015-03-05 22:17:10

941

Views

Combining Floor Functions

Published on 05 Mar 2015 - 22:17

score 425 · Answer 13 · 2015-03-06 09:51:07

425

Views

Prove that if $\lim_{x\to\infty}f(x)=L$ exists and finite, and $\lim_{x\to\infty}\lfloor f(x)\rfloor$ doesn't exist then L is an integer

Published on 06 Mar 2015 - 9:51

score 611 · Answer 14 · 2015-03-13 09:29:59

611

Views

Quadratic equation involving floor function.

Published on 13 Mar 2015 - 9:29

score 122 · Answer 15 · 2026-03-28 16:44:15

122

Views

If $ f(x) = \left\{\frac{3x}{2}\right\}\;,$ Where $\{x\}=x-\lfloor x \rfloor$. Then real solution of $f(f(x))=0$

Published on 28 Mar 2026 - 16:44

List Question

Given a real number $x$ there exist unique numbers $n$ and $\epsilon$ such that $x=n+\epsilon$ where $n$ is an integer and $0\leq\epsilon<1$

Geometric progression of terms involving floor function

Solve an Equation with Ceiling Function

limit of a floor function

Product of a prime and other number expressed in two ways are equal

Calculate $\lim_{x \to 0^+} x\lfloor 1/x\rfloor$

How do I solve $N = \lfloor\dfrac{A-B}{B}\rfloor$ for $A$

Find $\lim_\limits{x\to 0}{x\left[1\over x\right]}$. Am I correct?

Finding an $f(x,y,n)$ such that $round[f(x,y,n)] = \lfloor\frac xn \rfloor + \lfloor\frac yn \rfloor$

Restating a floor function as a finite sum

Floor function right hand limit

Combining Floor Functions

Prove that if $\lim_{x\to\infty}f(x)=L$ exists and finite, and $\lim_{x\to\infty}\lfloor f(x)\rfloor$ doesn't exist then L is an integer

Quadratic equation involving floor function.

If $ f(x) = \left\{\frac{3x}{2}\right\}\;,$ Where $\{x\}=x-\lfloor x \rfloor$. Then real solution of $f(f(x))=0$

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