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

Feb2313 09:24 AM
micromass

1 
34,020 
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 
1,188 
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 
1,125 
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 
14,598 
Other than the Riemann Zeta function, what equation has a nontrivial infinity of zeroes with real part onehalf?

Jul2309 04:55 PM
Petek

15 
2,845 
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 
835 
A matrix is diagonalizable when algebraic and geometric multiplicities are equal.
My professor proved this in class...

Jul2309 03:59 AM
trambolin

2 
3,650 
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 
2,063 
(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 
1,041 
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 
1,272 
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 
1,295 
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 
3,526 
A matrix is diagonalizable when algebraic and geometric multiplicities are equal.
I know this is true, and my...

Jul2109 05:52 AM
HallsofIvy

2 
1,369 
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 
1,218 
What is the geometric interpretation of unimodular matrices?

Jul2009 03:42 PM
Dragonfall

4 
1,164 
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 
3,047 
Hello everyone,
I have a query regarding the GramSchmidt factorization:
Say I have 3 independent vectors, u, v,...

Jul1909 04:52 PM
HallsofIvy

2 
1,558 
What is the basis for the vector space of all continuous functions?

Jul1809 10:08 PM
John Creighto

15 
1,976 
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 
1,466 
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 
729 
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 
781 
In Linear Algebra and its Applications, David Griffel writes, "The components of covectors are often denoted by...

Jul1609 10:42 AM
Rasalhague

2 
1,249 
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 
2,904 
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 
1,571 
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 
1,414 
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 
1,900 
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 
1,670 
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 
1,261 
Suppose T ∈ L(V) and U is a subspace of V. Prove that U is
invariant under T if and only if U⊥ is invariant under T∗....

Jul1309 01:45 PM
evilpostingmong

3 
1,071 
Hello, I don't quite understand this stuff but have managed to get to the point where the chart appears to be a...

Jul1109 08:05 PM
docspidey

0 
980 
what exactly is the number zero?
I mean, the number 0 seems to negate the absence of meaning in the digital world...

Jul1109 04:02 PM
camilus

13 
12,316 
It might be a silly question but I was just wondering if this was unprovable or false...
Thanks guys

Jul1009 04:08 PM
camilus

9 
2,559 
What's the difference between a point and a vector (both of which are situated in 3Dimentions)? I mean, they are...

Jul909 08:07 PM
romistrub

35 
41,020 
This is a mental arithmatic question really, but what is the fastest way you have found to multiply two numbers in...

Jul909 12:15 PM
Count Iblis

7 
3,492 
In polynomial interpolation:
I see some connection between:
The Vandermonde matrix, the monomial basis and the...

Jul909 10:56 AM
trambolin

1 
2,638 
Say we have a transformation T\inL(V). Now suppose a subspace of V (U) is in the rangespace of T. Now suppose PUv=u...

Jul909 09:47 AM
evilpostingmong

4 
899 
I have graphed something in mathematica and when plotting I accidentally told it to plot the x and y axes backwards...

Jul809 10:12 PM
Phrak

1 
965 
let be X,Y and Z operators of some algebra so
= \epsilon _ijkX_k where i,j and k range over X, Y and Z
then i...

Jul809 01:27 PM
HallsofIvy

1 
938 
Please anyone solve this question or can even email me on my ID abu_95bakar@yahoo.com...
For the following question...

Jul809 09:22 AM
HallsofIvy

1 
795 