785 reputation
215
bio website facebook.com/aloiziomacedo
location Rio de Janeiro, Brazil
age 21
visits member for 1 year, 6 months
seen Jul 19 at 8:31

Mathematics Student


Jul
2
awarded  Curious
May
13
asked Is the “set” of all algebraic extensions a set?
May
5
accepted Understanding proof that $\pi$ is irrational
May
5
asked Understanding proof that $\pi$ is irrational
May
2
accepted Does existence of a non-continuous linear functional depend on Axiom of Choice?
May
1
comment How can I define $e^x$ as the value of infinite series?
might be useful: math.stackexchange.com/a/763121/59234
Apr
30
comment Does existence of a non-continuous linear functional depend on Axiom of Choice?
Well, if you discussed this several times before, I'll not ask you to do it once again... :P, but I would be glad if you could provide me the discussions (more cannot be worse).
Apr
30
comment Does existence of a non-continuous linear functional depend on Axiom of Choice?
@AsafKaragila sorry if this is a duplicate, I did a quick search and did not find anything related
Apr
30
revised Does existence of a non-continuous linear functional depend on Axiom of Choice?
It may not be good to call arbitrary spaces "infinite-dimensional" when there is no choice.
Apr
30
comment Does existence of a non-continuous linear functional depend on Axiom of Choice?
haha, I didn't mean it that way. I think that the strength of requiring that "EVERY..." requires the strength of choice... and I just noted a blunder in my formulation, I'll correct it
Apr
30
asked Does existence of a non-continuous linear functional depend on Axiom of Choice?
Apr
23
comment When does open and connected imply path-connected?
Thank you, that takes care of half the trouble. What about topological spaces in general?
Apr
23
asked When does open and connected imply path-connected?
Apr
22
awarded  Nice Question
Apr
22
accepted Is factoring polynomials easier than factoring integers?
Apr
21
asked Is factoring polynomials easier than factoring integers?
Apr
21
revised How to prove continuity of $e^x$.
added 3 characters in body
Apr
21
revised How to prove continuity of $e^x$.
added 857 characters in body
Apr
21
comment How to prove continuity of $e^x$.
I'll expand my answer to address this last issue more thoroughly
Apr
21
comment How to prove continuity of $e^x$.
(continuing...) 3 - You want the $additive-to-multiplication$ property to hold. Looking at the Cauchy product formula, it seems quite reasonable that something with factorials should appear, because we will want to use the Binomial Theorem to expand things.