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Apr
3
accepted Trust-region method
Apr
3
comment Trust-region method
Thanks a lot for wanting to help. Could you please elaborate on one point: why can we assume A is diagonal w.l.o.g.? I'm sure your right, I just don't see it.
Apr
1
revised Trust-region method
edited tags
Apr
1
asked Trust-region method
Sep
20
comment Proof of derivative of $e^x$ is $e^x$ without using chain rule
But isn't the hardest part left? Namely demonstrating that $\lim_{h\to 0}\frac{e^h-1}{h}=1$...
Dec
7
awarded  Popular Question
Dec
2
awarded  Yearling
Jul
2
awarded  Curious
Oct
5
accepted How to iterate over power set in MAGMA?
Oct
5
revised How to iterate over power set in MAGMA?
added 141 characters in body
Oct
5
asked How to iterate over power set in MAGMA?
Sep
11
accepted Picking out columns from a matrix using MAGMA
Sep
9
asked Picking out columns from a matrix using MAGMA
May
23
revised Extending an ideal of a polynomial ring to a polynomial ring with more indeterminates. Is it a tensor product?
deleted 85 characters in body
May
16
accepted Is the image of a tensor product equal to the tensor product of the images?
May
16
comment Is the image of a tensor product equal to the tensor product of the images?
Thanks a lot for great answer. I don't quite see what the unique injection $\mathbb{Z}/2\mathbb{Z}\rightarrow\mathbb{Q}/\mathbb{Z}$ is though...could you please tell me? And what if all the modules $A,A',B,B'$ are free $S$- modules (even finitely generated), do we then have $$\operatorname{im}(\phi\otimes\psi)=\operatorname{im}(\phi)\otimes_{S}\operator‌​name{im}(\psi)?$$
May
16
asked Is the image of a tensor product equal to the tensor product of the images?
May
5
comment Showing that the Taylor series of $f(x)=\frac{1}{\sqrt{1+x}}$ converges to $f$ on (I think) the interval (-1,1].
Well, thanks a lot. This is a first year calculus exercise though, and neither complex analysis nor binomial coefficients involving non-natural numbers are part of the curriculum...far from it:)
May
5
asked Showing that the Taylor series of $f(x)=\frac{1}{\sqrt{1+x}}$ converges to $f$ on (I think) the interval (-1,1].
May
5
accepted Manipulation of some power series (probably integration or derivation).