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

Feb2313 09:24 AM
micromass

1 
35,094 
I recall reading somewhere that Legendre's conjecture implies the Riemann Hypothesis. But the Wiki article suggests...

Jul2709 11:58 PM
CRGreathouse

6 
1,566 
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 
1,130 
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 
3,142 
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 
2,313 
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 
1,427 
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 
814 
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 
4,474 
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 
2,894 
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 
2,029 
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 
1,015 
What is a good way to describe and count the Sylow 2subgroups of S5? The ones isomorphic to D8 should be simple...

Jul2509 02:14 AM
VKint

1 
4,047 
Will anyone help me to find out the analytic expression
of the following 2^N\times2^N exponential?
exp,
where
...

Jul2409 05:00 PM
NaturePaper

0 
1,191 
So I came across this problem in my textbook, but couldn't seem to solve it...
Let n be any squarefree integer...

Jul2409 04:43 AM
rasmhop

1 
1,127 
I don't know if this has been posted already, but anwho...
If you pick any positive integer greater than 9 and...

Jul2309 05:38 PM
JazzFusion

8 
14,627 
Other than the Riemann Zeta function, what equation has a nontrivial infinity of zeroes with real part onehalf?

Jul2309 04:55 PM
Petek

15 
2,849 
My work is on implicit FDTD method which allows time step (delta_t) above CFL limit. Implicit methods require one to...

Jul2309 12:43 PM
confi999

0 
839 
A matrix is diagonalizable when algebraic and geometric multiplicities are equal.
My professor proved this in class...

Jul2309 03:59 AM
trambolin

2 
3,682 
I have this problem where I'm having trouble solving so any help would be appreciated.
Here's the problem:
You...

Jul2209 05:00 PM
CRGreathouse

2 
2,067 
(aT)∗ = \bar{a}T∗ for all a ∈ C and T ∈ L(V,W);
This doesn't make much sense to me. Isn't a supposed to be=x+iy and...

Jul2209 02:31 PM
HallsofIvy

3 
1,044 
is the following sequence finite
\sum_{n=1}^{\infty} \frac{log^{u1} (n)}{n}  u^{1}log^{u}(n)
if u=1 then we...

Jul2209 06:57 AM
zetafunction

2 
1,273 
I'm a bit confused as to how to calculate the 2nd chebyshev function.
I know \psi (x) = \sum_{p^k \le x} \ln p
...

Jul2109 07:23 PM
g_edgar

1 
1,300 
Is anything more known about Legendre's conjecture that there is a prime between n^2 and (n+1)^2 for positive integers...

Jul2109 01:50 PM
CRGreathouse

3 
3,536 
A matrix is diagonalizable when algebraic and geometric multiplicities are equal.
I know this is true, and my...

Jul2109 05:52 AM
HallsofIvy

2 
1,390 
I had this question on a test and I was wondering why it is false:
If the row space equals teh column space then...

Jul2009 06:48 PM
slider142

3 
1,227 
What is the geometric interpretation of unimodular matrices?

Jul2009 03:42 PM
Dragonfall

4 
1,168 
I have to prove that x*0= 0 where x is any integer. I can do this pretty easily using the proposition that m(1)=m...

Jul1909 11:24 PM
epkid08

3 
3,053 
Hello everyone,
I have a query regarding the GramSchmidt factorization:
Say I have 3 independent vectors, u, v,...

Jul1909 04:52 PM
HallsofIvy

2 
1,561 
What is the basis for the vector space of all continuous functions?

Jul1809 10:08 PM
John Creighto

15 
1,983 
Hi everyone, could someone please advise;
The equation;
PA  P atm A = K, change in X
If I wish to factor...

Jul1809 11:31 AM
Auto Engineer

4 
1,471 
Hello PF members
This is my first post. It is rather complicated to understand but I request you to bear with me.
...

Jul1709 04:48 PM
Hurkyl

1 
730 
Hi All, this is not homework, just some basic revision for my own personal understanding, it's a long time since I...

Jul1709 04:30 PM
Auto Engineer

2 
783 
In Linear Algebra and its Applications, David Griffel writes, "The components of covectors are often denoted by...

Jul1609 10:42 AM
Rasalhague

2 
1,253 
Hi,
in the text I am reading I found the following implicit definition of an adjoint transformation:
\overline{f}(...

Jul1609 02:04 AM
mnb96

4 
2,909 
Sorry, I have mistakenly posted it in the General Math forum.
This was my fault.
As I do not know how to correct...

Jul1509 03:04 PM
Luca

0 
1,573 
I spend some time studying special functions recently. I found two definitions of gamma function, one in form of...

Jul1509 11:37 AM
LHS1

2 
1,068 
Given a 4x4 nonHermitian matrix, is there any method I can use to prove the eigenvalues are real, aside from actually...

Jul1509 08:51 AM
andrewm

2 
1,419 
I need to find a way to sum/ a closed form representation for:
\sum^{N}_{n=1}\frac{\Gamma(ns)}{\Gamma(n+s)}
...

Jul1509 01:13 AM
CRGreathouse

1 
1,901 
Hi.
if anybody can help me
Let S be the matrix a b
c d
with a constrain a =...

Jul1409 12:23 PM
jj48

8 
1,672 
How would you write the following using indexnotation?
s \cdot F \cdot u
Given that s = (s^0, \vec{s}) and u...

Jul1409 09:32 AM
smithg86

0 
933 
given the Selberg trace formula
\sum_{n=0}^{\infty} h(r_n) = \frac{\mu(F)}{4 \pi } \int_{\infty}^{\infty} r \,...

Jul1409 07:35 AM
zetafunction

0 
1,263 