2,625 reputation
21346
bio website
location
age 25
visits member for 3 years, 6 months
seen Jun 10 at 13:36

Learning from scratch.


Mar
9
comment Which function's Fourier transform is the function itself?
Also, have a look at the answers here.
Feb
28
comment Is a good GRE score enough for a non-math graduate to be accepted in a decent pure mathematics graduate program?
What comes under the purview of weak math background in your opinion? Non-math undergrad major? Math Major with weak scores? Would a non-math undergrad major (engg/physics) with strong scores in math courses count as weak? Thank you.
Jan
5
comment Notation: $\operatorname{diag}(v,v)$ for a matrix?
I have printed notes from previous years. On searching google books with the context, I found it used here
Dec
9
comment Showing two matrices are similar
Sorry,you all were right. I made a type in the third matrix
Dec
9
comment Showing two matrices are similar
@Henning Sorry. I am following a physics book and these matrices are actually representations. Two representations were defined to be equivalent if their matrices are related by a similarity transformation. This was what I had in my mind.
Dec
9
comment Showing two matrices are similar
Yes, I am sure. The first three matrices are what physicists call spin 1 representation. The final three matrices are the adjoint representation of SU(2) (excluding a phase factor of -i). The question is to show that the two representations are equivalent (a result which is used later to construct roots). I phrased only the computational part in my question.
Nov
29
comment Regular polygons meeting at a point
@J.M. But we're talking about polygons not polyhedrons.
Oct
25
comment Is there a binary spigot algorithm for log(23) or log(89)?
I'm wondering why I got notified without @. Anyhow, regarding the above comment, what has your reputation got to do with it?
Oct
18
comment Calculating the matrix
hmm... going over wikipeidia, there's another method.. to use $ e^{A}Be^{-A}=B+[A,B]+\frac{1}{2!}[A,[A,B]]+\frac{1}{3!}[A,[A,[A,B]]]+\cdots $
Oct
14
comment Elementary question in partial differentiation
@Tyler Yes (hindi). As I wrote in chat an hour ago, it is a close approximation of my progress in mathematics.
Oct
11
comment Understanding direct sum of matrices
Thanks. Very Helpful.
Oct
4
comment Understanding direct sum of matrices
I do not have enough rep to make a less than 6 character edit. Could you adjust the parentheses to $A\mathbf{v}=(f(\mathbf{v}),g(\mathbf{v}))$, $B\mathbf{w}=(h(\mathbf{w}),k(\mathbf{w}))$ $A\mathbf{v}=(f(\mathbf{v}),g(\mathbf{v}))$, $B\mathbf{w}=(h(\mathbf{w}),k(\mathbf{w}))$ in the last line of third paragraph.
Oct
4
comment Understanding direct sum of matrices
by swapping linear transformation, do you mean rearranging the rows? I did not understand the complete statement, it is a direct sum, then a rearrangement of rows, then a multiplication by what?
Oct
4
comment Understanding direct sum of matrices
@Srivastan For the Source click the given link, click the amazon "Look Inside" feature, click on "first pages", check problem 3.
Oct
4
comment Understanding direct sum of matrices
@Qia So it is not a direct sum? In which case my source is wrong.
Sep
27
comment Linear algebra question
@Arturo Magidin This is the exact version. You can have a look at it here (page 13)
Sep
20
comment Help with volume integration
Thanks for answering, how did you get: $\int_{-1}^1 \frac{(r -c t) }{ \left(r^2 + c^2 - 2 \, c \cdot r \cdot t \right)^{3/2} } \mathrm{d} t = \frac{ 1 - \operatorname{sign}(c - r ) }{r^2}$? This is where I was stuck.
Sep
20
comment Help with volume integration
The numerator in the first integtrand is $r-c\cos \theta$
Sep
18
comment Does $\lim_{x\rightarrow 0}\frac{c}{|x|}$ exist?
Your calculus textbook does warn you about the case $g(x)\neq 0$ so why consider it?
Sep
17
comment Intuition behind this theorem in linear algebra
@Arturo what do you mean by: "... vector space is free on the basis"