Question

Solve the equation $\{x\}+\frac{1}{\{x\}}=2+\left\{\frac{1}{[x]}\right\}$.

score 224 · Answer 1 · 2024-02-19 15:45:06

224

Views

Solve the equation $\{x\}+\frac{1}{\{x\}}=2+\left\{\frac{1}{[x]}\right\}$.

Published on 19 Feb 2024 - 15:45

score 61 · Answer 2 · 2024-03-09 15:43:16

61

Views

$F(x) = f([x]) \cdot f(\{x\})$ . Find $f$

Published on 09 Mar 2024 - 15:43

score 106 · Answer 3 · 2024-03-19 11:16:39

106

Views

Find all $x \in \mathbb{R}$ such that $f: \mathbb{N} \rightarrow \mathbb{R}$, where $f(n) = \{2^n \cdot x\}$ is monotone on $\mathbb{N}$.

Published on 19 Mar 2024 - 11:16

score 60 · Answer 4 · 2024-03-26 04:19:51

60

Views

How to compute the following limit? $\lim\limits_{x\to\ 0^+} {\frac{x-\lfloor x \rfloor}{x+\lfloor x \rfloor}}$

Published on 26 Mar 2024 - 4:19

score 1.1k · Answer 5 · 2015-01-21 17:30:02

1.1k

Views

What is the value of $\left\{\frac{3^{1001}}{82}\right\}$

Published on 21 Jan 2015 - 17:30

score 48 · Answer 6 · 2015-01-25 09:26:55

48

Views

Partition of fractional parts where each sum of them has to be at least 1

Published on 25 Jan 2015 - 9:26

score 66 · Answer 7 · 2015-01-25 20:43:51

66

Views

Conversions of real numbers

Published on 25 Jan 2015 - 20:43

score 87 · Answer 8 · 2015-02-07 15:42:53

87

Views

Numbers $a$ that are the sum of the fractional parts $\{x^2\} + \{x\}$ for some $x$

Published on 07 Feb 2015 - 15:42

score 393 · Answer 9 · 2015-02-07 18:03:47

393

Views

An inequality with fractional parts

Published on 07 Feb 2015 - 18:03

score 56 · Answer 10 · 2015-03-13 19:42:32

56

Views

solving the partial diffential ODE $ y^{s} (x)=y(x) $

Published on 13 Mar 2015 - 19:42

score 158 · Answer 11 · 2015-03-15 04:52:01

158

Views

Addition of Fractional Part Function

Published on 15 Mar 2015 - 4:52

score 247 · Answer 12 · 2015-04-25 13:31:20

247

Views

Irrational number multiplied by its fractional part becomes rational (SOLVED)

Published on 25 Apr 2015 - 13:31

score 2.7k · Answer 13 · 2015-05-01 13:09:01

2.7k

Views

How find the fractional part of $5^{200}$ divided by $8$?

Published on 01 May 2015 - 13:09

score 3.9k · Answer 14 · 2015-05-11 19:39:04

3.9k

Views

Calculate fractional part of square root without taking square root

Published on 11 May 2015 - 19:39

score 883 · Answer 15 · 2026-03-25 00:31:02

883

Views

Solving $7[x]+23\{x\}=191$

Published on 25 Mar 2026 - 0:31

List Question

Solve the equation $\{x\}+\frac{1}{\{x\}}=2+\left\{\frac{1}{[x]}\right\}$.

$F(x) = f([x]) \cdot f(\{x\})$ . Find $f$

Find all $x \in \mathbb{R}$ such that $f: \mathbb{N} \rightarrow \mathbb{R}$, where $f(n) = \{2^n \cdot x\}$ is monotone on $\mathbb{N}$.

How to compute the following limit? $\lim\limits_{x\to\ 0^+} {\frac{x-\lfloor x \rfloor}{x+\lfloor x \rfloor}}$

What is the value of $\left\{\frac{3^{1001}}{82}\right\}$

Partition of fractional parts where each sum of them has to be at least 1

Conversions of real numbers

Numbers $a$ that are the sum of the fractional parts $\{x^2\} + \{x\}$ for some $x$

An inequality with fractional parts

solving the partial diffential ODE $ y^{s} (x)=y(x) $

Addition of Fractional Part Function

Irrational number multiplied by its fractional part becomes rational (SOLVED)

How find the fractional part of $5^{200}$ divided by $8$?

Calculate fractional part of square root without taking square root

Solving $7[x]+23\{x\}=191$

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