Question

How do I the fractional approximation of a fraction?

score 1.7k · Answer 1 · 2016-07-06 13:31:02

1.7k

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How do I the fractional approximation of a fraction?

Published on 06 Jul 2016 - 13:31

score 367 · Answer 2 · 2016-07-11 18:51:43

367

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Prove that $4m + 1$ is a perfect square if $\{ \sqrt {n + \sqrt n}\} = \{\sqrt m\}$

Published on 11 Jul 2016 - 18:51

score 172 · Answer 3 · 2016-07-14 17:13:40

172

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$\lfloor x\rfloor \cdot \lfloor x^2\rfloor = \lfloor x^3\rfloor$ means that $x$ is close to an integer

Published on 14 Jul 2016 - 17:13

score 138 · Answer 4 · 2016-07-21 14:37:24

138

Views

Integral of following fractional part

Published on 21 Jul 2016 - 14:37

score 90 · Answer 5 · 2016-08-22 15:52:54

90

Views

Prove the inequality $\{\sqrt[3]{n}\}>\frac1{3\sqrt[3]{n^2}}$

Published on 22 Aug 2016 - 15:52

score 68 · Answer 6 · 2016-09-21 11:11:03

68

Views

Maxima and minima of the function

Published on 21 Sep 2016 - 11:11

score 451 · Answer 7 · 2016-10-03 10:05:17

451

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The density of the fractional part of $x^n$ in $(0,1)$?

Published on 03 Oct 2016 - 10:05

score 34 · Answer 8 · 2016-10-25 04:43:08

34

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Is there any online place where I can derive the plots of various fractional power functions like {nx}, {x^2}?

Published on 25 Oct 2016 - 4:43

score 2k · Answer 9 · 2016-10-27 02:34:22

2k

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$\lim_\limits{ x \to 0} (\text{fractional part of} \frac{x}{\tan(x)})$.

Published on 27 Oct 2016 - 2:34

score 210 · Answer 10 · 2016-10-28 19:24:49

210

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How to evaluate $ \int_0^n \cos(2\pi \lfloor x\rfloor\{x\})dx$?

Published on 28 Oct 2016 - 19:24

score 238 · Answer 11 · 2026-03-25 13:13:24

238

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Evaluate $\int_0^\infty\left\{ \frac{1}{t} \right\}^{kn}t^{s-1}dt$ for positive integers $n,k$ and $0<\Re s<1$

Published on 25 Mar 2026 - 13:13

score 186 · Answer 12 · 2016-11-18 17:26:56

186

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Solve $\frac{1}{\left\lfloor{x}\right\rfloor}+\frac{1}{\left\lfloor{2x}\right\rfloor}=\{x\}+\frac13$

Published on 18 Nov 2016 - 17:26

score 106 · Answer 13 · 2016-11-21 17:32:17

106

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How to find $ \lim _{x\to \infty }\left\{\sqrt{x^2+x+1}\right\} $ where $\{x\}=x-[x] =$ fractional part?

Published on 21 Nov 2016 - 17:32

score 2.5k · Answer 14 · 2016-11-23 16:01:40

2.5k

Views

Extract integer part of a number

Published on 23 Nov 2016 - 16:01

score 199 · Answer 15 · 2016-11-25 18:11:51

199

Views

Correlation between binary fractions and number of decimal places

Published on 25 Nov 2016 - 18:11

List Question

How do I the fractional approximation of a fraction?

Prove that $4m + 1$ is a perfect square if $\{ \sqrt {n + \sqrt n}\} = \{\sqrt m\}$

$\lfloor x\rfloor \cdot \lfloor x^2\rfloor = \lfloor x^3\rfloor$ means that $x$ is close to an integer

Integral of following fractional part

Prove the inequality $\{\sqrt[3]{n}\}>\frac1{3\sqrt[3]{n^2}}$

Maxima and minima of the function

The density of the fractional part of $x^n$ in $(0,1)$?

Is there any online place where I can derive the plots of various fractional power functions like {nx}, {x^2}?

$\lim_\limits{ x \to 0} (\text{fractional part of} \frac{x}{\tan(x)})$.

How to evaluate $ \int_0^n \cos(2\pi \lfloor x\rfloor\{x\})dx$?

Evaluate $\int_0^\infty\left\{ \frac{1}{t} \right\}^{kn}t^{s-1}dt$ for positive integers $n,k$ and $0<\Re s<1$

Solve $\frac{1}{\left\lfloor{x}\right\rfloor}+\frac{1}{\left\lfloor{2x}\right\rfloor}=\{x\}+\frac13$

How to find $ \lim _{x\to \infty }\left\{\sqrt{x^2+x+1}\right\} $ where $\{x\}=x-[x] =$ fractional part?

Extract integer part of a number

Correlation between binary fractions and number of decimal places

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