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

Feb2313 09:24 AM
micromass

1 
35,966 
Hello everyone!
I am trying to solve a large system of linear equations. The form of the matrix is A = T + F. T is...

Apr314 08:35 AM
SteamKing

1 
465 
The killing form can be defined as the twoform ##K(X,Y) = \text{Tr} ad(X) \circ ad(Y)## and it has matrix components...

Aug1514 10:23 AM
Pond Dragon

2 
467 
Could you explain me:
what the difference is between singular value decomposition and eigenvalue problem,
when...

Mar2814 04:48 AM
UltrafastPED

1 
469 
Using this coordinate system and writing the relationships:
\vec{\rho}\;'=R^{1}(\phi)\vec{\rho}
\begin{bmatrix}...

Jan2714 09:18 AM
Jhenrique

2 
470 
We have a matrix A4x5 and B2x3 can we remove() them AB
Thanks

Feb2514 11:12 AM
HallsofIvy

1 
471 
Hi again, I am trying to get a better grasp of induced maps, and trying to see the
results that are used/assumed in...

May2514 11:21 PM
WWGD

0 
471 
Hello Everyone,
Pardon me if the following is incoherent. From what I understood of what my professor said, he was...

Jan3014 05:33 PM
HallsofIvy

2 
474 
Hi,
I'm reading a book about fluid dynamics and I found some strange product between tensors. It's written like this:...

May2114 03:38 PM
jure

4 
474 
I've been introduced to the definition of a generalised eigenspace for a linear operator A of an ndimensional...

Apr514 10:25 AM
Silversonic

2 
475 
I am reading Dummit and Foote, Chapter 10, Section 10.5, Exact Sequences  Projective, Injective and Flat Modules.
...

May1214 05:41 AM
Math Amateur

4 
477 
How can I write proper language for these integrals in MatLab ?
Your helps really appreciated.
Best,
John...

Feb114 01:26 AM
Simon Bridge

3 
478 
Hi,
I'v got a problem on Chapter 10 of Georgi's "Lie Algebras in Particle Physics".
I want to prove
u^i v^j_k...

Jul113 06:03 PM
Wonchu

0 
479 
I've looked at this topic for a while and I have yet to come to any sort of conclusive answer when it comes to...

Feb1314 02:18 AM
flyinjoe

2 
479 
Let H be a normal subgroup of G. Then factor group G/H is an abelian subgroup.
For x, y not in H
xHyH=yHxH
...

May2214 09:59 PM
micromass

1 
479 
Am i correct if I say that Fiedler number surges when percolation is at percolation threshold? Assume a randomly...

Mar813 10:44 AM
kosmos

0 
480 
I'm trying to understand the category theoretic proof of free groups.
I know a bit of group theory but little...

Mar2014 04:44 AM
James MC

0 
480 
Is it? Personally, I think it is since the max power on any unknown is 1, no trig function, no product of unknowns...

Oct1212 02:20 PM
Studiot

1 
481 
Hi everyone,
I have a square matrix J \in \mathbb{C}^{2n \times 2n}...

Feb2714 11:57 AM
Sam1984

0 
482 
Suppose θ: A → B is a homomorphism. And assume S ≤ B. Is it necesarily true that if S is a subgroup, that is not...

Apr2714 02:54 PM
micromass

3 
484 
It is well known that the approximation error of the SVD is
\left\ \textbf{A}\textbf{A}_{\rm SVD} \right\ = σ_k,...

Jul113 04:14 AM
yiorgos

0 
485 
Hi Guys,
I have just started studying about this field.
Can you give me some ideas about some best eigen value...

Jun2213 08:50 PM
lurflurf

1 
485 
Is there an expression, in general, for the product of two matrix exponentials, for noncommuting matrices?
i.e....

Apr114 12:36 PM
micromass

1 
485 
Dear All:
For a line structure(say a very long atomic chain) and a closed loop structure( connect the head and tail...

Oct3113 10:59 PM
peter308

0 
486 
Hi, All:
I have seen Orthogonal groups defined in relation to a pair (V,q) , where V is
a vector space , and q...

Jun1011 09:11 PM
Bacle

0 
487 
Hi there.
I would like to learn more, if any, on interesting applications of Euclidean rings both in mathematics,...

Jun2313 04:33 PM
jamesb1

0 
488 
Hello again PF!
I had a question on singular value decomposition. My question relates to a pepper I have been...

Aug1814 11:51 PM
AlephZero

10 
488 
Hi, all:
Say we have a barebones Vector Space v, i.e., V has only the basic vector space
layout; no...

Apr2711 04:47 PM
micromass

1 
489 
I'd like to figure out why
f(x) = x^n  r e^{i \theta} = \prod_{j = 0}^{n  1} ( x  r^{1/n} e^{i \theta / n} e^{2...

Feb914 03:33 PM
AlephZero

2 
492 
Hi,
I have found an encryption algorithm named ECKSPS (published in a paper named 'efficient conjunctive keyword...

Apr1013 03:13 AM
sanderpotter

0 
493 
How I do for calculate the solid angle formed by 3 vectors like:
http://s30.postimg.org/61lpvmi4h/solid.jpg
?

Feb1814 11:15 AM
Jhenrique

2 
494 
Hi all,
Note: The text below is the motivation for my question. To jump to the question immediately, please skip to...

Jul2613 07:14 PM
simpleton

0 
495 
I imagine a matrix group, with multiplication as the composition rule, to always possess the quality of having centre...

Feb2014 01:57 PM
pasmith

3 
495 
Is it possible for a variable to exit the basis and after a couple of iterations, enter it again? Are there any...

Jun911 09:31 AM
arthurav

0 
496 
Here it is for those interested.
http://arxiv.org/pdf/1305.2897.pdf

May2813 08:47 AM
epsi00

0 
496 
There are lots of examples of numbers where "is it a rational number" has been an open question for a while before...

Jun2113 01:54 PM
Office_Shredder

0 
496 
The two properties every linear transformation T: V > W has to satisfy is
T(u + v) = T(u) + T(v), for u,v in V (i)...

Feb1714 04:01 PM
jgens

4 
496 
The Fourier series can be used to represent an arbitrary function within the interval from  π to + π even though...

Jun2813 03:39 PM
tinytim

1 
498 
is it true that \frac{1}{g_{ab}}=g^{ba}? I am a bit confused by the index notation. I especially wonder about the...

Apr614 06:12 PM
HallsofIvy

3 
498 
Quick version:
I have a vector field f:\mathbb{R}^n\oplus\mathbb{R}^m \to \mathbb{R}^n of two arguments x \in...

Aug1114 07:11 AM
dmytro

3 
499 
If I have two square nonnegative primitive matrices where the PerronFrobenius Theorem applies how would I calculate...

Jul413 09:01 PM
Simon Bridge

2 
500 