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Mathematics
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hew
  • Member for 6 years, 1 month
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question
26
If $G \oplus H$ is isomorphic to a proper subgroup of itself, then must the same be true of one of $G$ and $H$?
Sep 22, 2019
question
8
Show that $(\ln x)^n$ are linearly independent over polynomial.
Aug 4, 2019
question
5
Show $ g(s):=\int_{0}^{\infty}f(t)t^{s-1} dt$ is well defined and analytic.
Dec 22, 2020
question
5
Show $ f(x) = \sum_{n=1}^{\infty} \frac{nx}{n^3 + x^3}$ ,$\ g(x) = \sum_{n=1}^{\infty} \frac{x^4n}{(n^3 + x^3)^2}$ are bounded on $[0, \infty)$.
May 22, 2019
question
5
Let $\theta$ be a root of $f(x) := x^3-3x +1$ . Then determine the other roots explicitly of terms of $\theta$.
Dec 9, 2019
question
4
If $f(t)=\sum_{n=1}^{\infty} e^{-n^2t}t^a$ , then $ \lim_{t \to 0}f(t) = 0$
Dec 23, 2020
question
4
How to reduce to affine case to determine whether a given functor is representable
Nov 1, 2020
question
4
$f(z) = \frac{1}{\pi} \int_E \frac{f(w)}{(1-z \bar{w})^2} dudv $ , where $w = u + iv$
Nov 16, 2019
question
4
Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ . [duplicate]
Nov 21, 2019
question
3
Computer the flux of $\nabla \ln \sqrt{x^2 + y^2 + z^2}$ across an icosahedron centered at the origin
Aug 17, 2019