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

Feb2313 09:24 AM
micromass

1 
30,461 
Hi
I've been wondering....the conjecture which states that the number of twin primes is infinite has neither been...

Jun1904 10:45 PM
Paul

6 
4,050 
Hi all,
I have been asked the question by a friend of mine who was working on a computer algorithm where he needed...

Jan1113 03:01 PM
HallsofIvy

4 
1,167 
Given are two square matrices of the same dimension, M and N.
M is symmetric. N is non singular.
From M and N...

Jun912 08:49 AM
lavinia

8 
1,630 
If the only solution to Ax = b is the trivial solution, then is that solution considered unique?

Aug210 06:49 AM
HallsofIvy

4 
12,161 
Z/p consists of polynomials in x with coefficients in a field Z/p.
I is an ideal of Z/p generated by some...

Nov1207 01:42 AM
e12514

2 
1,021 
Assume A=f(t) is an nxn matrix with all elements being nonnegative. The eigenvalue with the largest absolute value is...

Nov2210 05:35 PM
AlephZero

4 
2,919 
so lets say a = 30. How many left cosets of <a^4> in <a> are there?
ok, so a = 30. and think I need to find...

Dec1304 03:10 PM
semidevil

4 
1,352 
Given a set A with a binary associative operation *, I would like to say that for each element a there exist an...

Jul609 10:58 AM
mnb96

21 
1,851 
So I was talking with a friend about a problem and noticed the following construction arose naturally:
For a...

Feb1110 05:26 PM
Hurkyl

1 
1,304 
For instance, lets say that you want to study fermat x^n+y^n=z^n for n=3; do not mind that we already know the answer...

Oct2010 05:32 PM
hamster143

8 
1,504 
Hello,
let's say we have two functions of two variables: f(x,y) and g(x,y). Say we know that the sum / integral...

Mar2509 04:32 PM
Heirot

3 
1,091 
like N=5053=163*31 and N=169*37=6253 if we do not know the factors and if we do not want to factor them. They both...

Oct610 09:48 PM
epsi00

6 
1,152 
Let V be the variety of the ideal (f)
a singular point is a point where all the partial derivatives of the f are...

Dec307 08:22 PM
mathwonk

4 
1,613 
Is there a mathematical equation to find square/cubic/etc. roots of a number?
Any help would be greatly appreciated...

Apr610 04:28 AM
IB1

10 
2,625 
hi ,
I met lot's of binary operation which is associative and commtative and I also met lot's of binary operation...

Nov1912 07:10 AM
Dead Boss

5 
1,057 
Dear all:
For a standard linear system, y(n*1)=A(n*n)x(n*1)
If y is exact and A is wellconditioned, it is easy...

Nov110 05:44 AM
jasonRF

1 
1,724 
Is there any general formula for strings?
For example:
what is the formula of this string 1,3,5,7,9,....?
...

Sep1208 12:38 PM
Physicsissuef

12 
922 
According to the prime number theorem, the number of prime numbers that are less than N is approximately N\ln(N) for a...

Sep511 11:17 AM
RamaWolf

6 
2,297 
I guess this is best explained with an example. The matrix (0 1) has the eigenvalues ...

Dec1110 02:18 PM
mkerikss

2 
1,972 
I have a block Toeplitz matrix with complex parameter
as shown in attachment file.
How can I solve such problem, I...

Jun709 10:53 PM
BiBByLin

0 
787 
Say I have two matrices of the form
A = (1 x 6 row vector)
and
B = (1 x 3 row vector). The number of...

Sep3012 08:09 AM
Wolfgang2b

2 
825 
T^i K_{ij} = K T^j K^{1}
repeated indices imply summation.
T^i are the generators (Lie algebra elements) of SO(3)....

May2806 10:54 PM
kakarukeys

3 
1,459 
is there yet a mystery about partitions? where can i find some lit. on the subject?

Jun1904 11:53 PM
geraldmcgarvey

2 
1,787 
Suppose we have a finite dimensional inner product space V over the field F. We can define a map from V to F...

Aug1112 08:13 PM
dEdt

3 
1,025 
I used to test orthogonality by using the definition MT = M1, which means I always calculated the inverse of the...

Jul3012 08:53 PM
DonAntonio

4 
1,159 
Hi,
Suppose that L is a Lie algebra, B is a proper subalgebra of L.
Let tau be an automorphism of L.
The...

Mar711 05:29 AM
xiachunguang

0 
698 
So my job is to find a field with 5^4 elements, and I know i can construct one by considering something of the form:...

Dec604 10:06 AM
shmoe

12 
1,706 
Hello everyone!
I have a question on whether a system of equations can be classified as linear. I have the...

May1913 11:05 PM
jedishrfu

3 
540 
The Hypothesis described here below is equivalent to the Riemann Hypothesis.
However, I am unable to state whether...

Sep209 02:46 AM
Luca

0 
1,090 
I notice that the trick to define Dirichlet Eta Function can be repeated for each prime number, let p a prime, and...

Oct610 04:07 AM
arivero

0 
910 
Given: x, y, z, n are whole natural numbers, including the regular and irregular prime numbers; x and y < z. The,...

Jul2512 12:40 PM
micromass

26 
3,566 
Is there a theorem that says that for linear operators a and b on some vector space, if
= = 1 ,
where ...

Jul2305 03:04 AM
PBRMEASAP

10 
1,299 
Let A be any real invertible matrix. There exists a nonzero diagonal matrix D such that A^T D A=D.
I'm pretty sure...

Mar1613 12:52 AM
fzero

8 
1,360 
(1+2+3+ \cdots + n)^2 = 1^3 + 2^3 + 3^3 + \cdots + n^3 , n \ge 1
Provide a derivation of the identity above.
I...

Jan3012 11:23 PM
DEMJR

6 
1,666 
Is this correct (I was just a little worried that I've got a power of 1 that's not equal to 1)?:
1ln(5)/2πi = 5...

Sep2403 05:32 PM
jcsd

9 
2,766 
By F I mean the polynomials with coefficients in field F. By F(X) I mean the rational polynomials.
I have a feeling...

Jul2711 12:16 PM
Bacle

10 
2,095 
X=a%
Y=b%
Is "X*a#/X*b#" equal to "a%/b%"?

Nov1805 09:17 AM
Galileo

1 
1,656 
Example:
##\mathcal{L}=F(s)G(s) ##
Is this homomorphism, actually isomorphism of groups? ##\mathcal{L}## is Laplace...

Dec813 01:44 PM
jbunniii

7 
560 
Hi,
I need to figure out whether or not the polynomial
x^62x^31
is irreducible (over Q).
I don't think...

Mar1705 08:46 PM
TO7

4 
1,445 
Here's the page: http://mathworld.wolfram.com/Hyperplane.html
They say that the set S is a subspace of R^n. Is...

Apr2009 12:54 PM
matt grime

2 
1,070 