33,629 reputation
34394
bio website sites.google.com/site/…
location Fiji
age 37
visits member for 1 year, 11 months
seen 22 mins ago

I'm a lecturer of mathematics at the University of the South Pacific. My research interests are in algebraic topology and metric geometry.


2h
comment area of circle using circumference of inner circles
what are you asking then? If you include your computations then we can point to the error. It is possible to use a correct integral to compute the area of the triangle as you propose (and, of course, obtain the right formula).
3h
comment Counting proof of choosing
is the lower index of $k$ not specified or is it $k=0$? Also, do you just need to prove the equality, or are you to specifically do it combinatorially?
1d
comment The Language of the Set Theory (with ZF) and their ability to express all mathematics
thanks @nerdy :)
1d
comment What is the cardinality of $\bigcup_{n=1}^\infty\Bbb R^n$?
Thanks Asaf. Looking at your answer I should have figured the answer to my remark myself....
1d
comment What is the cardinality of $\bigcup_{n=1}^\infty\Bbb R^n$?
how can they be nested?
2d
comment Homeomorphism group
(+1) indeed :) :)
2d
comment hand evaluate $\sqrt{e}$
this limit expression for $e$ converges very slowly. Very very slowly.
2d
comment hand evaluate $\sqrt{e}$
these converge quite slowly.
2d
comment The automorphism group of the real line with standard topology
I need to think about this...
2d
comment The automorphism group of the real line with standard topology
@OlivierBégassat yes, if you restrict to those homeos that fix a given point. Otherwise, there are too many reflections about each and every point. Also, some of the non-torsion elements may be too wild to deformation retract, I'm not sure. But certainly, there are too many 2-elements.
2d
comment The automorphism group of the real line with standard topology
yes, I understand. My comment still stands. I think the topological structure is much more complicated.
2d
comment The automorphism group of the real line with standard topology
@OlivierBégassat I think what you are describing is closer to what the group of homeomorphisms that fix $0$ would look like. I don't quite see where all the order $2$ elements (of which there are tons and tons of) and the elements of infinite orders would fit in your picture).
2d
comment The automorphism group of the real line with standard topology
from the question, probably as a topological space.
2d
comment Abelian isomorphic groups
well, if you are not clear why your argument is correct, then, no, you did not solve the problem.
Apr
22
comment Abelian isomorphic groups
what is wrong???
Apr
22
comment Abelian isomorphic groups
any more information and I will be solving the problem entirely. Keep trying.
Apr
20
comment Are there contradictions in math?
@MarioCarneiro I can certainly agree with your interpretation (though I would not say that a mistake in a proof is a contradiction). But certainly we correct and improve as we go along (just like any other science following the scientific method). Contradictions (in whatever sense taken) are pushed out of relevant existence and as long as what remains is good, then we are happy. That is how science progresses.
Apr
18
comment Trigonometry Limit Question
the limit may be $\infty $, $-\infty $, or it may not exist. In fact, the limit of $\frac{1}{\sin x}$ as $x\to 0$ does not exist (and is thus not $\infty $).
Apr
17
comment Category , lie algebras …
(+1) for the answer and (+ million) for: "... more progressive in this regard than many since". Not only in Lie theory but also in other areas some of the more recent books are afraid to present even mildly categorical perspectives.
Apr
17
comment Please give feedback to my answers (sets)
you need to wrap latex between dollar signs (I edited your question a bit so you can see how it's done). As for your solution, think of how you would convince someone the claim is false. Your answer is incorrect.