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

Feb2313 09:24 AM
micromass

1 
33,911 
What is the infinite product for the function
\Xi(s)=\Gamma\left(\frac{s}{2}\right)\pi^{s/2}\zeta(s)
?

Feb1710 07:52 PM
Charles49

3 
3,395 
Here is an interesting problem that I've been thinking about for a while:
Let p be a prime s.t. p = 4m+1 for some...

Feb110 10:12 AM
joeblow

3 
3,834 
Hello.
I have been reading a book with an introductory section on number theory and the part regarding Euler's...

Jan2210 12:22 PM
dodo

3 
2,500 
From this example
AntiAliasing section 22.4.1
http://http.developer.nvidia.com/GPUGems2/gpugems2_chapter22.html...

Jan2610 10:56 AM
rebeka

3 
1,783 
Hi Folks,
I have a question about determinants that is probably quite simple. I know that if you have a matrix and...

Jan2710 09:32 AM
ulriksvensson

3 
967 
I wonder if all coupling set of equations are not solvable analytically? I have a equation set as follows
y1 =...

Jan2710 12:07 PM
BCon

3 
1,264 
Hello dear forum member I wanted to know how about the research on this branch of science.Are many people working on...

Jan3110 06:06 AM
zetafunction

3 
2,181 
Hi,
I have just started teaching linear algebra to myself. I know nothing about linear algebra so if this question...

Feb310 06:50 PM
Zaphos

3 
2,947 
Hey everyone,
I'm taking this course called "Number Theory" and am having a lot of difficulty with it. We're...

Feb210 10:38 PM
ramsey2879

3 
1,656 
Hi,
I am new with linear algebra, and I'm having a hard time wrapping my mind around the 0 vector and the additive...

Feb210 07:40 AM
radou

3 
1,858 
I recently teach myself linear algebra with Friedberg's textbook.
And I have a question about adjoint operator, which...

Feb410 06:04 AM
typhoonss821

3 
1,154 
hi.
i'm reading "quantum mechanics in hilbert space" and a don't get a basic point for bounded operators.
def. 1...

Feb1010 07:25 AM
tommy01

3 
933 
Clearly I am missing something obvious here, but how is it that negative even numbers are zeros of the Riemann zeta...

Feb1010 12:10 PM
mrbohn1

3 
4,524 
Hello math goers,
My education in linear algebra is limited to an Intro course I took a year ago. So I am posting...

Apr1210 05:34 PM
Xuser

3 
1,165 
G group, H subgroup of G.
Suppose aH and bH are distinct leftcosets then Ha and Hb must be distinct right cosets?
...

Feb1610 08:25 PM
Fredrik

3 
2,771 
"Let m and k be positive integers and φ(m) is the Euler's phi function. Then the number of integers n such that 1≤n≤mk...

Feb2110 04:31 PM
CRGreathouse

3 
1,634 
I'm a physics major. As such, I have come across several situations in my studies that require the use of eigenvectors...

Feb2210 09:04 AM
imaloonru

3 
1,793 
4=2+2, 6=3+3. Are there any other cases where an even number of the form 2p, where p is a prime, cannot be...

Feb2210 05:20 PM
CRGreathouse

3 
1,841 
I am having trouble understanding this example:
Let G=S_3 and H={(1),(13)}. Then the left cosets of H in G are
...

Feb2510 02:32 AM
mrbohn1

3 
1,040 
Show that (p1)(p2)...(pr)==(1)^r*r!(mod p) for r=1, 2, ..., p1. I am having trouble getting this proof started....

Feb2410 03:38 PM
Tinyboss

3 
1,878 
1) Definition: Let m denote a positive integer and a any integer such that gcd(a,m)=1. Let h be the smallest positive...

Mar110 09:49 PM
VeeEight

3 
1,942 
Hello there,
I have trouble understanding why the coefficients in an affine combination should add up to 1; From...

Mar910 04:17 AM
mrbohn1

3 
2,532 
given the sequence (power series) g(x)= \sum_{n\ge 0}a(n)(1)^{n}x^{n}
if i define ...

Mar1410 01:42 PM
g_edgar

3 
1,287 
How do we show that, given a matrix $A$, the sign of the determinant is positive or negative depending on the...

Mar2010 08:44 PM
quasar987

3 
1,056 
G,H be groups(finite or infinite)
Prove that if (G:H)=n, then there exist some normal subgroup K of G (G:K)≤n!...

Mar2210 08:23 AM
emptyboat

3 
1,188 
Let f, g \in \mathbb{Z} be given as follows: f = x^8 + y^8 + z^6 and g = x^3 +y^3 + z^3. Express if possible f and g...

Apr610 04:51 AM
Eynstone

3 
1,725 
Can anyone explain, in detail, why/why not Z/(2x) is isomorphic to Z/2Z? I know that every element in Z can be written...

Mar3010 09:01 AM
eok20

3 
2,673 
I have seen that there exists two group homomorphisms from Z to Z/2Z. However, I cannot seem to understand this. I...

Mar3110 05:20 PM
Landau

3 
1,778 
How can we find the determinant of a complex matrix?

Apr110 07:11 AM
HallsofIvy

3 
5,811 
I have a pretty basic question about direct sum/product of groups.
Say you were given the group (Z4 x Z2, +mod2)....

Apr510 12:20 AM
shallumstuart

3 
2,882 
My best guess is this fits in algebra, I've been scratching my head with this for a while.
I have a three...

Apr1110 01:53 PM
Live2Learn

3 
1,705 
Ok so I've been working on this problem and I'm really having some struggles grasping it. Here it is:
Let W be...

Apr1110 11:45 PM
Bacle

3 
1,030 
Hi, can anyone explain to me if a 3 x 4 matrix can have independent columns? How about independent rows?
Thanks!

Apr1310 05:52 PM
VeeEight

3 
1,267 
I have to linear equations
3x + 2y =7 and 6x + 6y= 6
when expressed as linear combination in column vector form...

May1410 04:33 PM
Noxide

3 
1,353 
Hi,
I'm reading Shankar's Principles of QM and I find it not very clear on how exactly should I change basis of...

Apr2810 09:23 PM
Fredrik

3 
1,545 
One of the topics in my linear algebra course is kernel and range of a linear transformation. I have a firm...

Apr2110 12:55 AM
radou

3 
1,400 
http://img710.imageshack.us/img710/2314/booleanalgebra.jpg
AFAIK logic is all about "T"/"F" or 0/1, and boolean...

Apr2610 02:14 PM
TacTics

3 
1,001 
Let S be a set on which a linear order <= (less or equal) , is defined. Show that a nonempty finite subset has a max.

Apr2810 05:17 AM
Martin Rattigan

3 
832 
Let A be an n x n matrix with eigenvalue \lambda . Prove that \lambda ^2 is and eigenvalue of A^2 and that if v is an...

Apr2910 08:53 PM
Evo

3 
859 
First what are Idempotents?
Second, If A and B are simliar matrices, show that if A is idempotent then so is B.

May510 09:38 AM
Landau

3 
1,017 