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Nov
30
comment $f: V \mapsto V$ is a projection, show $V = \ker(\pi) \oplus \operatorname{Im}(\pi)$
What do you mean by $\ker(\pi)+im(\pi)$? Do you mean $\ker(\pi)\oplus im(\pi)$? In that case, equivalence is not clear to me.
Nov
30
comment $f: V \mapsto V$ is a projection, show $V = \ker(\pi) \oplus \operatorname{Im}(\pi)$
A rather quick method would be using the exact sequence $0\to\ker f\to V\to V/\ker f\to0$.
Nov
30
comment $f: V \mapsto V$ is a projection, show $V = \ker(\pi) \oplus \operatorname{Im}(\pi)$
"So v = (v - π(v)) + π(v) is in Ker(π) + Im(π)." Please explain.
Nov
29
comment Convergence on open-minus-countable topology
What have you tried?
Nov
29
comment how to calculate the fundamental group using intitutive ideas?
@hina: what is unclear.
Nov
29
comment how to calculate the fundamental group using intitutive ideas?
@QiaochuYuan: I don't think so. isn't the fundamental group of what you're saying isomorphic to Z? I don't think hina's group is...
Nov
27
comment How can I find this result modulo $10^8$?
if $N$ is much smaller than $a$, your square root is approximately equal to just $2a+1$.
Nov
27
comment Solve $x^2(1-x) = 1$
There is only one real solution, there are two complex solutions. See wolframalpha.com/input/?i=solve+x%5E2%281%E2%88%92x%29%3D1
Nov
27
comment How to Integrate along a path
Trying to save one more unupvoted answer from doom.
Nov
27
comment proving homeomorphism
This answer is correct, but of course the formula you gave is not very helpful - I mean sure, it is right, but how'd you get it? Surely you can shed some light on that.
Nov
27
comment $R\neq R[x]$ if $R$ be Noether ring
You clearly did not learn from the comments to your previous questions. Please add your own work and attempts, and don't use the imperative "show".
Nov
24
comment Is mathematics the only language that is not subject of interpretation?
@tomasz: ugh, no, the language of mathematics is not explained in every single paper or a mathematical subject. but that is of course not the point that I was trying to make :-/
Nov
23
comment Limit of sequences
@yuta, well, do you have a definition for convergence? What have you tried to prove the statements?
Nov
23
comment Is mathematics the only language that is not subject of interpretation?
If you're looking for largely unambiguous languages, take a look at lojban. Mathematics is ambiguous, but usually clear by context.
Nov
23
revised Is mathematics the only language that is not subject of interpretation?
deleted 1 characters in body
Nov
23
comment Is mathematics the only language that is not subject of interpretation?
@Derfder: please, don't think you understand string theory if you don't even get the uncertainty principle.
Nov
23
revised Is mathematics the only language that is not subject of interpretation?
deleted 1 characters in body
Nov
23
comment Is mathematics the only language that is not subject of interpretation?
@Derfder: i don't really get your comment, what are you trying to say?
Nov
23
answered Is mathematics the only language that is not subject of interpretation?
Nov
23
comment Not understanding modulo
i agree with that very first equation, but for a non-mathematician it might seem unnatural, and of course it is of huge importance in ring theory so some explanation could be useful