908 reputation
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age 16
visits member for 1 year, 11 months
seen 6 hours ago

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

Attempting to create fuzzy lebesgue integration at the moment..


Dec
17
asked Phase Portrait of DE's
Dec
13
awarded  Caucus
Dec
13
comment Order of study? Rudin, Spivak, Munkres?
@Seth Is Hatcher really the best for algebraic? I read the first chapter and the formatting was a bit rough but the content seemed pretty good.
Dec
13
comment Order of study? Rudin, Spivak, Munkres?
@Seth I know enough topology to study manifolds, however.
Dec
13
asked Order of study? Rudin, Spivak, Munkres?
Dec
12
accepted Sum in terms of $e^x$
Dec
12
asked Sum in terms of $e^x$
Nov
17
comment Basic question about math injectivity
@MarcvanLeeuwen I apologize.. Yes, I believe they are assumed to be linear, although this was not explicitly given.
Nov
17
revised Basic question about math injectivity
added 38 characters in body
Nov
17
asked Basic question about math injectivity
Nov
13
awarded  Popular Question
Nov
9
comment If g(f(x)) is one-to-one (injective) show f(x) is also one-to-one (given that…)
Does this not assume $g$ is injective?
Nov
3
comment Supremum of the product of sets
P.s. All of these ex's are just practice, pulled from various analysis books and rudin's book. I'm not in an analysis course, just a lowly 16 year old trying to improve my proof-writing one problem at a time
Nov
3
accepted Supremum of the product of sets
Nov
3
comment Supremum of the product of sets
I believe this is what I was going for.
Nov
3
comment Supremum of the product of sets
Where do you use the portion $\epsilon_2 = \min ( \frac{\alpha}{2}, \frac{\beta}{2}, \frac{\epsilon}{\alpha + \beta + 1})$?
Nov
3
revised Supremum of the product of sets
added 65 characters in body
Nov
3
comment Supremum of the product of sets
@David I just noticed that too.. Thanks David!
Nov
3
comment Supremum of the product of sets
If $\omega$ is the sup of a set, then $\omega-\epsilon < a$ for some $a$ in the set. Thus, if $\alpha\beta$ is the sup of the set, we may find $ab \in AB$ such that $\alpha\beta-\epsilon < ab$
Nov
3
asked Supremum of the product of sets