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

Feb2313 09:24 AM
micromass

1 
33,813 
Theorem:
For all a,b,c E Z such that a and b are not both 0,
there exist x,y E Z such that ax+by=c <=> gcd(a,b)c....

Jan910 08:56 PM
JSuarez

13 
5,319 
I have question, can someone please check whether my answer is correct or not:
1)Let \pi_i be representations of a...

Jan910 12:40 PM
vertices

6 
1,253 
my question is , given the Group G of symmetries for the equation
x^{4} + a^{2}=0
for some 'a' Real valued i...

Jan810 04:51 PM
rochfor1

1 
737 
Two questions:
1. We add the digits of any number. If the sum is divisible by 3, then that number is divisible by...

Jan810 05:17 AM
elibj123

2 
5,749 
I am trying to show show that there is no homomorphism from Zp1 to Zp2. if p1 and p2 are different prime numbers.
...

Jan710 04:57 PM
vertices

14 
2,776 
please explain me associativity for multiplication modulo n

Jan710 06:31 AM
HallsofIvy

1 
2,409 
I've been trying to prove something that seems obvious but have had no success thus far:
say G is a finite group...

Jan710 03:55 AM
SiddharthM

2 
814 
HELLO ! THIS IS MY FIRST POST HERE.
I spend countless hours playing with numbers and found a general formula to...

Jan610 11:06 PM
Antuan

26 
6,047 
I'm not sure if this is the best forum for this post, but no single forum seems to be a better fit, and I bet the...

Jan610 10:42 PM
coolnessitself

0 
1,266 
Just curious, are there any?

Jan610 10:18 PM
kof9595995

8 
2,809 
Can anyone give me an element in a cyclotomic extension of the rationals that has modulus one but that isn't an...

Jan610 07:51 AM
SiddharthM

0 
747 
These are probably a bit stupid, so I hope you don't mind me asking them...
1)what is a fundamental representation?...

Jan610 07:26 AM
vertices

4 
1,031 
I've noticed that the order that you do some elementary row operations in for by hand row reduction or gaussian...

Jan510 08:54 PM
Ben1220

0 
1,622 
I'm reviewing my Group theory notes at the moment. I have a few questions.
1)what is the "connected component of...

Jan510 08:29 PM
Fredrik

4 
1,158 
3\times2^{m}+1=n^{2}
For some positive integers m and n.

Jan510 12:13 PM
robert2734

3 
1,232 
I'm reading the book "Numbers" by Ebbinghaus et al. (Springer Verlag); I can't understand what's the main idea about...

Jan510 04:16 AM
kowalski

5 
2,902 
Hi,
I have been struggling with this problem for a while, and I have not found the answer in textbooks or google. ...

Jan410 04:57 PM
marcusl

1 
4,039 
In the first equation on this page,
http://www.physicsforums.com/library.php?do=view_item&itemid=335
is there a...

Jan410 05:12 AM
Fredrik

1 
949 
Dear all,
does any of you know if there is a routine from popular math libraries (like lapack) which can be used to...

Jan410 03:34 AM
hongbin_zhang

0 
1,371 
I'm working through a proof that every linear operator, A, can be represented by a matrix, A_{ij}. So far I've got
...

Jan210 03:43 PM
Fredrik

2 
4,940 
Help me to solve this equation in algebra
More than its width A rectangle has a length of 10 mm long . It has a...

Jan210 03:31 AM
tinytim

1 
703 
Any pointers and/or help with proving the following would be appreciated
For every prime number n, there exist...

Jan110 10:04 PM
ramsey2879

2 
1,793 
I'm having trouble grasping what an irreducible representation is. Can someone explain what this is through an example...

Jan110 09:04 PM
meopemuk

3 
1,422 
When we solve for a variable in say two linear equations, by what property we are allowed to add one equation to the...

Jan110 08:02 PM
Fredrik

7 
2,245 
Hi,
it is a clear fact that rotations in 3D keep the vectors on the rotation axis unchanged.
In 2D only the zero...

Jan110 11:39 AM
D H

10 
3,252 
I still don't fully understand the explicit construction of the tensor product space of two vector spaces, in spite of...

Dec3109 05:16 PM
Fredrik

12 
5,006 
Why isn't there a superalgebra having only three basis, c, a,b where c is even and a,b are odd and =a, =b, =c?

Dec3109 10:19 AM
johnstrass

1 
963 
Find all a,b such that a*T(b) + b^2*T(a1) = b*T(a) + a^2*T(b1)
example solution a = 3, b = 7

Dec3009 01:05 PM
hamster143

2 
1,582 
I know that all the eigenvalues of a real symmetric matrix are real numbers.
Now can anyone help out how to prove...

Dec3009 08:28 AM
HallsofIvy

4 
1,008 
I'm reading Algebra (GTM) by Serge Lang and I'm a bit confused about the requirements of theorem 6.3 in chapter 4...

Dec3009 12:50 AM
rasmhop

0 
1,042 
Hi,
given a complex vector space with a hermitian inner product, how is the cosine of the angle between two vectors...

Dec2909 05:39 PM
JSuarez

5 
2,667 
Hi,
I was reading the following theorem in the Matrix Computations book by Golub and Van Loan:
If V_1 \in...

Dec2909 08:35 AM
rochfor1

1 
2,008 
Hi!
I have following question. I will explain it with abstract notation although in fact I am working with some...

Dec2909 04:25 AM
kakaz

3 
1,698 
PI(N) = N /{A * LOG(N)^2 +B * LOG(N) + C}. Note: LOG(N) is the common log.
This formula works for N up to 10^23. ...

Dec2809 11:44 PM
CRGreathouse

5 
2,858 
On the multiplicity of the eigenvalue
Dear friends,
Might you tell me any hint on the multiplicity of the max...

Dec2809 06:10 AM
krete

2 
1,239 
let U and V be subspaces of Rn. Prove that dim(U+V)=dim U+dim V  dim(U∩V)

Dec2809 06:09 AM
HallsofIvy

11 
1,020 
In the Wolfram Mathworld section on spherical coordinates there's given a list of nine covariant derivatives. The...

Dec2809 03:55 AM
kakaz

1 
2,916 
Edit: Please delete, problem solved.

Dec2809 01:05 AM
MRLX69

0 
855 
Hi All,
If I is an ideal of J and J is an ideal of R (the ring)... Is it possible that I is not an ideal of R. When...

Dec2809 12:57 AM
Hurkyl

7 
1,258 
Hi,
Can anyone recommend a freely available library in C or C++ that is able to calculate eigenvalues and...

Dec2709 06:54 PM
patiobarbecue

3 
10,874 