Mathematics
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xunitc
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question
6
let $f(x) = (x-1)\ln x$, and given $0 < a < b$. If $f(a) = f(b)$, prove that $\frac{1}{\ln a}+\frac{1}{\ln b} < \frac{1}{2}$
May 23, 2018
question
4
How to do $\int_{0}^{\pi}(\sin t)^{\alpha}\cos (k t)dt$ please?
Feb 1, 2017
question
4
Is the sequence $\{\varphi^{(k)}(n)\}$ an eventually periodic sequence?
May 6, 2018
question
3
How to compute the area of the midpoint draw.
Jun 20, 2017
question
3
How the parabola can pass the most int-points?
Jul 8, 2017
question
3
$E = L^2(-\infty,\infty)$, if $f \in E,g(t)=\int_{-\infty}^{t}e^{x-t}f(x)dx$, could I get $g\in E$?
Jun 25, 2022
question
2
$x\sqrt{1-\frac{y(x+1)}{(x+y+1)^2}} = y\sqrt{1-\frac{z(y+1)}{(y+z+1)^2}} = z\sqrt{1-\frac{x(z+1)}{(z+x+1)^2}}$ [closed]
Mar 29, 2017
question
2
If $\{y_i\} \subset f([0,1])$ is increasing, there exists an monotonous $\{x_i\} \subset [0,1]$ such that $f(x_i)=y_i$? [closed]
Jun 24, 2021
question
2
Is the operator $T$: $Tf=\int_{0}^{\infty}f(x)\cdot\frac{y}{x^2+y^2}dx$ injective?
Aug 4, 2022
question
1
Inscribed n edge of ellipse.
Apr 11, 2017