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

Feb2313 09:25 AM
micromass

1 
30,623 
mathworld defines the paradox like this:"Even though real arithmetic is uncountable, it possesses a countable...

Oct1703 05:54 PM
Hurkyl

1 
2,359 
i found in this paper the term in the title:
http://arxiv.org/abs/math.GR/9305201
what can you tell me about them?...

Apr1204 02:19 PM
matt grime

1 
2,571 
in this page ive encountered this topic (it's a topic from combinatorics, so it's relevant to discrete maths with sets...

Jul205 03:23 AM
MathematicalPhysicist

3 
1,635 
prove that \epsilon_0 is an \epsilon number and that it's the smallest number.
\epsilon_0=\lim_{n<\omega}\phi(n)...

Aug3006 03:18 AM
matt grime

1 
1,531 
i searched at amazon for books, and find some books about this topic, and i wonder what does this topic cover?
in one...

Apr1906 03:11 PM
Hurkyl

3 
1,836 
1)let P={p1,p2....} be the set of all prime numbers for every n natural, present n as a representation of its prime...

Apr2706 02:20 PM
HallsofIvy

33 
2,682 
i have a few question, that i hope they will answered.
1) let w={0,1...,n,..}={0}UN, and let f:wxw>w such that the...

Jun1506 02:21 PM
CrankFan

18 
1,632 
i need to prove that if x is the first of sub(\phi;a,\psi) then there exists 1<=i<=n and there exist firsts \phi' of...

Jul2306 08:55 AM
MathematicalPhysicist

1 
1,969 
i read that there are some logicians who do not use the axiom of choice in their axioms systems. i wonder what is the...

Aug3106 02:16 AM
MathematicalPhysicist

2 
1,374 
i have a function f:R>R where f is monotone increasing, i need to show that the set of discontinuous points of f is...

Dec706 12:42 PM
HallsofIvy

5 
4,581 
1. i need to show that the set A={x in Q0<=x<=1}
Q is the rationals set.
can be covered by open intervals I_k (k is...

Dec2806 11:59 AM
EnumaElish

34 
3,946 
i need to find the cardinality of the set of all concave polygons.
i know that each npolygon is characterized by...

Dec3006 08:01 AM
MathematicalPhysicist

12 
2,171 
i need to find the cardinality of set of continuous functions f:R>R.
well i know that this cardinality is samaller...

Jan107 03:34 AM
AKG

14 
6,726 
i need to prove that there are c sqequences of rational numbers.
basically, i need to show that Q^N=c.
here, are a...

Jan407 07:13 AM
HallsofIvy

3 
1,363 
i need to show that there exists a class of sets A which is a subset of P(Q) such that it satisfies:
1) A=c (c is...

Jan807 11:47 AM
MathematicalPhysicist

14 
2,525 
i need to prove that X is an infinite set iff for every function f:X>X there exists a proper nonempty subset A of X...

Feb1507 04:25 PM
AKG

6 
1,829 
i need to prove the next statement:
let D be infinite class of infinite subsets of natural numbers that satisfies the...

Feb1307 07:19 AM
ecurbian

5 
1,464 
1)axiom of choice: prove that for every set X and for every f:X>X there exists g:X>X such that fogof=f.
2)zorn's...

Feb1307 08:52 AM
MathematicalPhysicist

0 
1,059 
let R be a reflexive and symmetric relation on a set X. let's define a relation S on X. by (x,y) in S iff there exists...

Feb1407 10:07 AM
MathematicalPhysicist

0 
1,903 
how many words of length k can you create from {1,...,k} such that 1 appears even number of times?
well, for k=0 we...

Jul207 06:05 AM
MathematicalPhysicist

5 
1,862 
My problem is as follows:
Prove that the set of Godel numbers of provable formulas (P_f) is recursive iff the set of...

Dec1807 12:03 PM
MathematicalPhysicist

0 
1,966 
I'm not sure I understnad what is a marginal distribution, but i need to show that if F1,F2 are one dimensional...

Feb908 03:41 PM
EnumaElish

1 
2,393 
Hey everyone,
I have a question regarding combinations and poker! Could someone explain to me why the number of...

Apr2112 09:57 AM
Stephen Tashi

3 
1,382 
What are the current capabilities of modern Theorem Provers? I know about logic/undecidability/complexity theory so go...

Feb514 11:39 AM
Hornbein

4 
366 
I am trying to understand the following theorem:
An ordered field has the least upper bound property iff it has the...

Oct2610 07:08 PM
HallsofIvy

2 
2,331 
Need help with this proof:
Prove that the set of irrational numbers has the same cardinality as the set of real...

Nov1709 03:44 PM
statdad

3 
998 
Hi all,
I had a question about calculating mutual information, a topic to which I am very new. Consider the...

Jun2711 11:42 PM
Stephen Tashi

3 
4,657 
I have temperature data from two different sites, and I want to develop a relationship for temperature between those...

Feb107 11:49 AM
EnumaElish

13 
2,738 
hi!
given poisson distribution in the space 0,1,2,3,............ can we check if the distribution is a probability...

Feb1208 02:40 AM
mathisgreat

2 
1,381 
I've already asked somebody through email this question, so I'll copy and paste part of my email:
Basically, I'm...

Nov1313 11:25 PM
Stephen Tashi

3 
868 
So I was thinking what would be the chances of two players on seperate pool tables playing the exact same game of...

Jan2914 07:49 PM
bahamagreen

18 
799 
http://www.newscientist.com/article/mg21128231.400ultimatelogictoinfinityandbeyond.html?full=true
Above...

Aug211 07:03 PM
SteveL27

4 
1,806 
http://arxiv.org/pdf/1306.5973v1.pdf
http://arxiv.org/abs/1306.5973
A detailed discussion and comparison of (δ,ε)...

Aug613 03:47 PM
mathman

0 
363 
Can I get the link to the prime number theorem?

May2414 11:06 PM
micromass

1 
238 
I'm currently taking a college level probability course and I am stuck on a couple questions involving algebras and...

Sep1109 02:15 PM
g_edgar

3 
4,059 
hey guys, some hopefully easy stat questions if you will
Im wondering about translating one statistical...

Feb112 01:31 PM
mathpariah

2 
1,110 
hey
Gonna get straight to the point. I need to establish the probability difference between two probabilities p_1...

Feb1312 10:15 PM
andrewr

1 
1,240 
I really don't get this. Can someone please help me?
Apply the proof of the CantorSchroderBerstein theorem to...

May808 10:36 AM
Dragonfall

1 
1,282 
I'm trying to prove the following by contradiction: (A^C)'=0. A, B, C are sets. All I know is in order to prove by...

Mar3005 11:57 AM
kastarov

3 
2,402 
I'm having trouble with gcd proofs in general, but here is a specific problem.
Let a and b be integers, not both...

Aug2509 10:37 PM
roam

2 
3,004 