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

Feb2313 09:24 AM
micromass

1 
35,867 
Hello Everyone.
In a thread in this forum relating to a problem on Subspaces I read that as long as a Vector...

Jul107 07:12 PM
matheinste

8 
3,696 
Is there any difference between a vector subspace and a linear manifold.
Paul Halmos in Finite Dimensional Vector...

Oct3108 06:57 AM
HallsofIvy

13 
8,612 
Hello all.
I came across this problem in Halmos, FiniteDimensional Vector Spaces, page 16.
Is the set R of all...

Apr508 01:41 PM
HallsofIvy

33 
11,868 
Hello all
I have read about quotient spaces of a vector space in several books and have an understanding of what...

Mar3008 08:22 PM
matheinste

2 
1,417 
In several places I have come across what seems to be a standard proof by contradiction that there is no greatest...

Dec609 09:50 AM
matheinste

14 
6,422 
Howdy, I just stumbled on this forum and was hoping someone could help with this proof:
If a and b are elements of...

Dec1204 11:27 PM
MathematicalMatt

3 
1,636 
in this webpage there is a book about recreational maths in it there is a paradox by raymond smullyan, it's on page...

Nov203 08:34 AM
Hurkyl

11 
2,656 
i read the book "the man who loved only numbers" by paul hoffman, and there is explanation about fermat's test for...

Nov103 12:35 PM
Hurkyl

8 
3,381 
can some one explain to me how is taking the logarithm of euler product gives you sum(p)+log(s1)=log?
my question...

Dec1803 12:28 PM
MathematicalPhysicist

2 
3,912 
i think everyone is familiar to this but i wonder if someone has made his research to study it.
what i mean is the...

Feb1904 07:41 AM
MathNerd

12 
2,326 
im not trying to be a crank and give you a solution to it but im looking for the proof of Ivan Vinogradov "that every...

Mar204 09:07 AM
MathematicalPhysicist

7 
4,498 
i made a question by myself here it goes:
proove that the only solution to p is 3:
n^21=p where n is a natural...

Mar2504 09:34 AM
matt grime

5 
1,782 
in mathworld, they say that conway proved "that Collatztype problems can be formally undecidable."
does it mean that...

Jan405 11:07 AM
master_coda

14 
3,550 
is really the only way of checking which number is divisble by 7 is by modular arithematics?

Jan1606 12:13 PM
MathematicalPhysicist

12 
2,462 
i reackon youv'e seen it already, the problem is to rearrange the next numbers in the fixed order:
1 2 3 4
5 6 ...

Jan2906 12:09 AM
Robokapp

3 
2,399 
is there some theorem of some sort, that connect the number of divisors of a number to identify if it's even or odd?
...

Apr206 12:47 PM
Gokul43201

4 
2,827 
i'm refering to this:http://aleph0.clarku.edu/~djoyce/java/elements/bookIX/propIX36.html
does someone know if...

Apr406 01:15 PM
robert Ihnot

2 
2,067 
i chekced a few perfect numbers with module 6 and, a nice property is that all mod 6 equal 4 (at least for those i...

May706 06:04 AM
Muzza

9 
1,850 
i need to remember when does Ax=B has a unique solution, more than one, and no solution?
i think that it has a...

Jun1406 02:48 AM
doodle

1 
1,203 
i need to find how many automorphisms are there for the field Q(sqrt2).
i am given the hint to use the fact that a is...

Nov3006 12:10 PM
mathwonk

8 
2,057 
let V be a vector space and K a nonempty subset of V prove/disprove :
K is linear independent set iff for every T...

Feb507 07:01 AM
HallsofIvy

11 
2,821 
i need to prove diprove that there exist matrices A1,A2,...,As such that rank Ai=1 for every i=1,...,s and...

Feb507 08:20 AM
MathematicalPhysicist

2 
1,477 
1) there's given a transformation f:C^n>C^n (C is the complex field), it's known that f is linear on R (real numbers)...

Feb507 04:54 PM
matt grime

5 
1,845 
the question is as follows:
gcd(n,10)=1, i need to prove that there exists a k>=1 such that 10^k1 is divisible by n....

May407 01:36 PM
MathematicalPhysicist

15 
2,997 
i have this matrix:
011
001
000
and i need to find the matrix jordan basis, and jordan form.
for the jordan...

May407 03:45 AM
MathematicalPhysicist

10 
2,674 
im given a matrix H from M_n(C) (the space of nxn matrices above the comples field).
and we know that for every a in...

Jul1007 08:55 AM
matt grime

8 
1,648 
There's a question that asks me to show that there exists a unique linear transformation
from: f\otimes g: V_1\otimes...

Jul508 02:47 PM
mrandersdk

9 
1,436 
I know how the rotation matrix looks like in the 2x2 and 3x3 orders, but how does it look in general?
thanks in...

Aug108 02:56 AM
MathematicalPhysicist

9 
8,261 
What is the rule of division by 23?
Thanks in advance.

Jan2409 04:57 AM
MathematicalPhysicist

20 
3,384 
Is there a formula to compute how many inversions are there in a given permutation?

Feb2109 10:31 PM
MathematicalPhysicist

0 
860 
Perhaps someone will help me in this.
I need to prove that the group of elements of the form gh g^{1}h^{1} where...

Mar709 06:25 AM
MathematicalPhysicist

2 
969 
What fields of interest in number theory should I learn to fully understand his and Taylor's proof?
Is there a...

Mar2509 01:31 AM
matt grime

5 
2,368 
Does someone know if there's a course offered on RH?
I mean reading the literature can be quite intimidating...

Aug910 09:44 PM
Major_Energy

5 
2,019 
Can someone give me a hint how to show the recurrence relations for G_k(z)
,in wiki it's for the d_n's?
Other than...

Mar511 10:58 PM
MathematicalPhysicist

3 
1,891 
I want to show that if 1 were a congruent number then there would be an integer solution to the equation x^4y^4=u^2...

Mar2011 09:03 AM
dodo

3 
1,286 
I am asked to find all the modular forms with weight k which don't have zeros on the upper half plane.
I know that...

Mar2711 07:13 PM
Stephen Tashi

4 
2,080 
I forgot why the next statement is true and it's bugging me endlessly...
If p is prime such that p =1 mod 4 then...

Jul2311 06:36 AM
agentredlum

4 
2,579 
From taking breaks from preparing for a talk I have in geometry, I started toying a little bit with perfect numbers.
...

Sep112 03:31 PM
AntiCrackpot

10 
2,787 
I found that the cartan subalgebra of ##sp(4,\mathbb{R})## is the algebra with diagonal matrices in...

Sep1513 12:12 AM
MathematicalPhysicist

4 
980 
http://img3.imageshack.us/img3/8660/aassa.png
Who discover that?

May311 02:58 PM
coolul007

4 
1,676 