860 reputation
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age 16
visits member for 1 year, 9 months
seen Oct 22 at 19:07

Interested in various areas of topology, fuzzy mathematics, manifold learning, etc.

Attempting to create fuzzy lebesgue integration at the moment..


Oct
8
accepted Distributions (Generalized Functions)
Oct
8
revised Distributions (Generalized Functions)
added 44 characters in body
Oct
8
comment Distributions (Generalized Functions)
Would it be equivalent to say that $f_n \to 0$ in $\mathscr{D}$ if and only if $\partial^\alpha f_n \to 0$ in $\mathscr{D}$? My professor asserted the topology as such, and used it to prove the continuity of distributions, by noting that if $\{ \psi_n \} \subset \mathscr{D}$ goes to $0$, then the distribution is continuous if and only if it also goes to $0$.
Oct
7
revised Distributions (Generalized Functions)
added 43 characters in body
Oct
7
asked Distributions (Generalized Functions)
Oct
3
comment Solution of $\dot{V} (t)\le -\alpha V(t)-\beta $
Are you familiar with using integrating factors?
Oct
3
comment Help with this binomial coefficent problem
@user146269 If you adopt the notion of multi-indices, the multinomial theorem may be succinctly written.
Sep
28
comment Identifying Objects with Polygons
@Gerry Myerson thank you, that makes complete sense. I'd never seen such a thing before opening Hatcher's book, so I was a bit confused.
Sep
28
comment Identifying Objects with Polygons
@Alan In what chapter(s) are these things covered?
Sep
28
comment Identifying Objects with Polygons
@Alan Do you have any suggested resources?
Sep
28
reviewed Approve suggested edit on Identifying Objects with Polygons
Sep
28
comment Identifying Objects with Polygons
@DavidPeterson I don't quite understand the statement that the $4g$ edges become the union of $2g$ disks.
Sep
28
comment Identifying Objects with Polygons
@DavidPeterson Should it be considered as a "rolling" out of the torus into a simple 2d space?
Sep
28
comment Identifying Objects with Polygons
@DavidPeterson Ahh, so If I connect the $b$ edges, and pull the $a$ edges back together, I'll have a torus?
Sep
28
asked Identifying Objects with Polygons
Sep
24
awarded  Autobiographer
Sep
17
comment Adding integrals with different domains
Thank you. This is exactly what I was looking for.
Sep
17
asked Adding integrals with different domains
Sep
3
answered Negation of sequence convergence
Sep
3
revised Negation of sequence convergence
proper format