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

Feb2313 09:24 AM
micromass

1 
35,126 
We all know the definition of prime numbers and the first prime number is always 2.
Why is 1 not listed as a prime...

Jul2305 01:53 PM
Hurkyl

25 
5,615 
Hi, not sure if this is the right forum.. pls move if not.
Almost 30 years ago, I was studying engineering and my...

Nov1811 05:54 PM
narrator

6 
2,548 
Am I missing something or is 0 a prime element in an integral domain?
In the definition of prime element p of an...

Feb2808 10:17 PM
mathwonk

8 
1,542 
Hi there, this is my first post here so I'm sorry if this is in the wrong place, asked before, standard newbie...

Oct2011 06:12 PM
D H

34 
5,790 
At first, when I saw this, I was deeply shocked and lost the believe that math is absolute. Like the thinking that if...

Jan1609 04:59 PM
HallsofIvy

4 
3,187 
I've heard ppl say it is and it isn't, so is it a prime number? :P

Feb204 06:52 PM
mathman

3 
2,625 
Can some one tell me how to figure out if this is solvable or not?
For the Prime number p=68659,
19=x^2 mod p.
...

Dec1107 02:11 PM
robert Ihnot

12 
2,369 
scratch that.
is 5606701775893 a prime number?

Jun111 09:10 PM
ramsey2879

19 
5,692 
Is any given finite semigroup isomorphic to some finite semigroup S that consists of some subsets of some finite group...

Jul2413 07:13 PM
micromass

4 
566 
Hi,
I'm not sure if this is the right section, but I'm talking about numbers :).
The questions is as written in...

Oct2511 02:48 PM
lavinia

26 
3,296 
I was reading Lie Algebras in Physics by Georgi.......................second edition...
Theorem 1.2: He proves that...

Dec2409 03:15 AM
krishna mohan

3 
5,288 
I don't know how to write out matrices nicely on this forum,
but suppose you have some matrices:
This...

Nov512 01:54 PM
micromass

1 
694 
I've been working on this Linear Algebra problem for a while: Let F be a field, V a vector space over F with basis...

May2612 11:23 AM
imurme8

2 
1,063 
Can someone confirm this? If so, are there any respected websites on the net that can confirm this theorem?

Aug509 09:06 PM
D H

1 
757 
If V is a vectorspace and v is a vector in V. will the projection of v onto V be v?

May712 03:34 PM
tinytim

1 
862 
A vector space is a collection of vectors. So can we say that it is a set (although with special properties) ? Just...

Jan2211 12:37 PM
sponsoredwalk

20 
5,480 
According to wikipedia, absorption is an axiom for a boolean algebra. This seems incorrect to me, since I believe...

Oct913 02:48 PM
mfb

3 
789 
Is an infinite series of random numbers possible?
That is, can the term "random" apply to a infinite series?
...

May212 04:42 AM
micromass

89 
13,299 
Hello,
If f is a morphism between two vector spaces, we say it is linear if we have:
1) f(x+y) = f(x) + f(y)
2)...

Dec809 06:20 PM
DrGreg

7 
8,161 
Hi..
In the second paragraph of the following paper, there is a statement: "Because the direct product of subgroups...

Jun2410 01:06 PM
Landau

1 
1,714 
hi there. I have an equation i derived from a "belt problem" (i actually dont know if it's correctly derived yet)....

Apr810 09:26 PM
Live2Learn

5 
1,404 
I came across this statement but I am not so sure. I was stuck on this counterexample
\begin{pmatrix}
0&1\\0&0...

Feb1313 01:34 AM
CompuChip

4 
749 
I am a bit confused, so this question may not make much sense.
A unitary operator from one vector space to another...

Feb2214 04:59 PM
D H

2 
564 
Hi
Given a square matrix R_{X} that is Toeplitz, is it necessarily invertible? I am not convinced about this.
...

Nov1508 08:39 AM
maverick280857

2 
2,811 
questions:
why is the sum of all the roots of unity equal to zero?
z^(1/n)=z1,z2,...zn
z1+z2+...+zn=0
It's...

Jan1109 03:57 AM
dodo

6 
4,459 
IS f(x)= x^4 + x^3 x^2  2x 2 irreducable over Q??
Attempt:
Ive shown that this has no linear factors as +1...

Aug1808 03:18 AM
Niall101

9 
1,492 
As an armchair theoretical physics fan, I recently ran across a tv program on the theory of fractual geometry as an...

Feb411 04:27 AM
Raphie

10 
2,223 
Hi,
I came across this article on Godel's incompletess theorem that seems to relate to number theory so I hope this...

Dec2509 12:36 AM
SixNein

12 
4,729 
Sorry I don't know how to write in symbols so I'm using Latex codes, anyway,
the question is as in title:
Is an...

Dec3006 01:35 PM
matt grime

7 
2,780 
Is infinity even or odd? If it's even (or both), then it would mean there's a finitely largest prime.
By coarsely...

Jan908 02:23 AM
dodo

23 
6,701 
Hello,
I am begin billinear form and need help with a proof
say you have an integral from 0 to 1...

Nov708 06:03 AM
HallsofIvy

4 
1,414 
Suppose that we've been given two polynomials and we want to find their Greatest Common Divisor. For integers, we have...

Jul1312 12:38 PM
algebrat

7 
1,388 
Hi, does anyone know why they call a ring a ring. Was it because of Z/(n), where the numbers sort of form a ring in...

Jun1512 07:05 PM
algebrat

1 
862 
Make a matrix G so that each element in G is another matrix with a constant dimension (i.e. 3 by 3). Hence a 3 by 3 G...

Sep1706 02:59 AM
matt grime

10 
1,686 
Is it possible to write the 2010 numbers from 1 a 2010 in some order so that the
6933 digit number you get is prime?

Oct810 07:25 PM
Wizlem

11 
1,653 
I have heard about two or above dimensional plane which we can express R2 or Rn. But I never heard about...

Aug513 12:51 PM
HallsofIvy

1 
597 
In analogy to vector spaces, can we define a set of "basis functions" from which any continuous function can be...

Oct512 10:27 PM
pwsnafu

7 
1,772 
Is it possible to extract the diagonal elements of a matrix into a vector USING ONLY MATRIX MULTIPLICATION? So no...

Dec1511 02:06 PM
AlephZero

1 
3,760 
i.e. decimals of an irrational number, pi(n), etc.
The function itself, f(n), can change with n, as long as it...

Aug2208 08:56 PM
CRGreathouse

20 
3,849 
Denote Z_n=(0.1.2....n1)
Then could I generalize the number of homomorphism H:Z_n > Z_m as
gcd(n, m)=#(H:Z_n...

Feb1711 11:19 PM
Tinyboss

1 
1,813 