
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
35,953 
Recently I've stumbled upon number theory and decided to order a book which is coming soon so in the mean time I've...

Aug1109 06:55 PM
ramsey2879

4 
2,164 
Suppose V is a vector space over a field F that has multiplicative identity 1. Do we have to take, as an axiom, that...

Aug1109 10:12 AM
Ravid

9 
1,466 
Why is it that positive operators need to be self adjoint?
Suppose T maps v from R^3 to R^2. So now <Tv, w>=<v, T*w>....

Aug1109 09:19 AM
evilpostingmong

0 
639 
Does anyone know if its possible to check whether a number is a perfect square in 2 different bases ? ( I dont mean...

Aug1109 07:48 AM
ramsey2879

5 
2,333 
Hi,
I'm currently reading a book on particle physics, which tells me this about SU(3):
"...The generators may be...

Aug1009 11:25 PM
aziz113

6 
1,211 
I am an italian undergraduate maths student. I have recently written two brief mathematical papers on prime numbers....

Aug1009 04:18 PM
gel

3 
2,223 
I am reading "Linear Algebra" by Strang. In the first lesson, he talks about how to solve equations with 2 unknowns...

Aug1009 04:11 PM
CaffeineJunky

4 
1,044 
for all fermat no.s, fi1=i11]2
all fermat no.s are of form 6Ni+5
Ni+1=6Ni2+8Ni+2
a no. of form 6N+5 is composite...

Aug1009 01:55 PM
chhitiz

27 
3,723 
I just started teaching myself a little bit about Hilbert spaces and functional analysis in general, and I had an idea...

Aug1009 09:29 AM
TacTics

1 
2,257 
\sum_{n=1}^{\infty}(1)^{n}e^{ln^{2}(nx)}
Where x is purereal and 0<x<infinity.
I would be incredibly grateful...

Aug909 03:16 PM
rman144

0 
1,075 
Hello. I have to prove the fallowing theorem:
"There is at least one prime number between n and n! (n factorial)...

Aug909 12:27 PM
srijithju

8 
3,141 
given the function (or distribution)
\sum_{n=0}^{\infty} f(E_n,u )= Z(u) for 'f' an arbitrary function and E_n ...

Aug709 04:26 PM
0xDEADBEEF

1 
1,422 
Hi,
I wonder if there is some agreedupon best way to reconstruct the matrix of a positive definite operator A using...

Aug709 03:16 PM
uekstrom

0 
557 
I came across this Proposition in my book, and I know it's something really simple that I'm missing, but I can't seem...

Aug709 08:51 AM
rasmhop

1 
1,467 
How do i get the point of intersection of a line and a circle.. I got lots of information on this topic, but my...

Aug709 07:26 AM
fatra2

3 
10,178 
Okay, so I expanded the brackets and simplified the equation from (x+4)(x4)(x4) to equal
x34x216x+64 and I...

Aug709 12:59 AM
TheAkuma

8 
1,214 
Does anyone know how to classify the finitedimensional irreducible representations of so(4,C)? Can they all be built...

Aug609 05:08 PM
aziz113

2 
2,879 
All matrices A\in\mathbb{C}^{n\times n} have at least one eigenvector z\in\mathbb{C}^n. I'm interested to know what...

Aug609 07:06 AM
CFDFEAGURU

4 
2,916 
Can someone confirm this? If so, are there any respected websites on the net that can confirm this theorem?

Aug509 09:06 PM
D H

1 
763 
Can every real number be written as a sum of 2 real squares, and if not, how to prove that?
And how to prove that not...

Aug409 10:47 PM
ramsey2879

14 
2,390 
Hi There
I'm working on Lanczos type algorithms and trying to develop some new versions of Lanczos algorithm...

Aug409 06:35 PM
mfarooq52003

0 
970 
I've been going through properties of determinants of matrices and found the following:
Assuming products are...

Aug409 02:43 PM
el_llavero

3 
3,531 
Suppose U is a finitedimensional real vector space and T ∈
L(U). Prove that U has a basis consisting of eigenvectors...

Aug409 01:33 PM
evilpostingmong

8 
1,440 
The couple of proofs that I've seen of Schwarz's inequality
\left\mathbf{u} \cdot \mathbf{v} \right \leq...

Aug409 09:38 AM
Rasalhague

6 
3,432 
I've read a number of tutorials on Clifford algebra, but I am still unsure of some elementary concepts.
For...

Aug409 08:32 AM
PeteKH

4 
1,780 
Statement:
One of the key elements in being in what people call group is that elements must be associative.
So...

Aug109 03:51 PM
CompuChip

1 
1,217 
In the appendix B of Goldstein's classical mechanics (3rd edition), the authors discussed the dihedral group and said:...

Jul3109 07:07 AM
sadness

0 
1,239 
If Q is an m x n (m > n) matrix with orthonormal columns, we know that Q^TQ = I of dimension n x n. I have a question...

Jul2909 05:55 PM
hotvette

5 
3,074 
Kind of a random question, but it came up in an online discussion I was having recently about a supposed proof that...

Jul2909 04:32 PM
ramsey2879

4 
3,787 
Without Sylow's theorems!!
This was a problem at the end of a chapter on Lagrange's theorem. I know that every...

Jul2809 02:42 PM
matticus

8 
4,647 
I recall reading somewhere that Legendre's conjecture implies the Riemann Hypothesis. But the Wiki article suggests...

Jul2709 11:58 PM
CRGreathouse

6 
1,593 
This subject came up in some notes on linear algebra I'm reading and I don't get it. Please help me understand.
...

Jul2709 11:36 PM
mosenja

7 
1,140 
I've been stuck on this for a while now, and I was wondering if anyone could help me out. The problem is:
If...

Jul2709 11:35 AM
pzona

16 
3,171 
Given positive integers a, b, c, d
and for fractions a/b and c/d,
it seems that ( a + c )/( b + d ) is between...

Jul2709 11:18 AM
HallsofIvy

1 
2,345 
I am looking for two rotation matrices M1 and M2, which describe a rotation by an arbitrary angle around the axes...

Jul2609 05:30 AM
HallsofIvy

4 
1,441 
A set of vectors V defines a Euclidean subspace. A subspace contains the zero vector. Now consider augmenting this...

Jul2609 05:27 AM
HallsofIvy

2 
824 
Hi I have this question for my Linear Algebra class and I can't seem to figure it out.
Let A and B be n x n...

Jul2609 05:21 AM
HallsofIvy

2 
4,492 
Dear all,
I have a question concerning Faugere's improved F4 algorithm. You can find it in the attached file ...

Jul2509 11:56 AM
choschech

6 
2,919 
I've been trying to work out a bunch of problems that have to do with finding irreducible polynomials, and this one...

Jul2509 09:25 AM
g_edgar

1 
2,040 
Hello.
I wasn't sure whether to post this here on in some of the physics sections.
I have a rank 2 tensor in one...

Jul2509 08:12 AM
slider142

2 
1,026 