New posts in fractional-part

Fractional part of rational power arbitrary small

number-theory exponentiation fractional-part

How do we solve $x^2 + \{x\}^2 = 33$ without computer?

algebra-precalculus ceiling-and-floor-functions fractional-part

Finding all rational values of $x$ for which $256(x + 15\{x\})\{x\} = 2021$

fractional-part

Solve for $x$ in the equation containing ${\lfloor{x}\rfloor}$ and $\{x\}$

functions ceiling-and-floor-functions fractional-part

Find the real values of $x$ that satisfy the equation $7[x]+23\{x\}=191$

linear-algebra ceiling-and-floor-functions fractional-part

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

algebra-precalculus ceiling-and-floor-functions fractional-part

The fractional part of $n\log(n)$

continued-fractions visualization fractional-part

Closed form of integral over fractional part $\int_0^1 \left\{\frac{1}{2}\left(x+\frac{1}{x}\right)\right\}\,dx$

integration summation asymptotics bessel-functions fractional-part

Equality of sums with fractional parts of the form $\sum_{k=1}^{n}k\{\frac{mk}{n}\}$

number-theory summation fractional-part

Studying convergence of the series involving fractional part

real-analysis calculus sequences-and-series convergence-divergence fractional-part

Fractional part summation

number-theory summation fractional-part

Sum of $\{n\sqrt{2}\}$

summation random-variables asymptotics irrational-numbers fractional-part

Solving the equation $\{x\}+\{\frac{1}{x} \}=1$

algebra-precalculus fractional-part

Is $1$ a limit point of the fractional part of $1.5^n$?

real-analysis sequences-and-series number-theory exponentiation fractional-part

Evaluation of $\int_{0}^{1}\int_{0}^{1}\{\frac{1}{\,x}\}\{\frac{1}{x\,y}\}dx\,dy\,$

definite-integrals euler-mascheroni-constant fractional-part

$\{x^2\} = \{x\}^2$, how many solutions in interval $[1, 10]$

graphing-functions integers ceiling-and-floor-functions fractional-part

A fractional part integral giving $\frac{F_{n-1}}{F_n}-\frac{(-1)^n}{F_n^2}\ln\left(\!\frac{F_{n+2}-F_n\gamma}{F_{n+1}-F_n\gamma}\right)$

calculus integration definite-integrals euler-mascheroni-constant fractional-part

Evaluate $\int_0^1\int_0^1 \left\{ \frac{e^x}{e^y} \right\}dxdy$

integration multivariable-calculus proof-verification closed-form fractional-part

Another integral for $\pi$

calculus integration definite-integrals pi fractional-part

A sum of fractional parts.

combinatorics number-theory problem-solving fractional-part