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Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 32,589
I thought this would be easy... BEGIN QUOTE Definition. If there exists a 1-1 mapping of A onto B... we write A~B....
Apr29-04 04:10 AM
matt grime
24 2,840 Here's the thread, look at the last two pages, can anyone come...
Feb6-07 02:57 PM
Schrodinger's Dog
24 3,761
does anyone know how to prove the intersection of two open sets is open?
Aug24-07 01:41 PM
matt grime
24 8,624
The definition of an open set S is that there exists, for any point x element of S, an open ball with center x, all of...
Oct18-11 08:52 AM
24 7,173
what allow us to put x=a+b+c -------------------------------------------------------------------------------- ...
Aug31-08 06:05 PM
24 2,509
Here's the actual problem I'm faced with. Suppose a segment of dna with 100 mutations (SNPs) which occur at different...
Sep12-10 05:45 PM
24 5,075
I can't come to a comfortable conclusion which doesn't make positive, negative, real, imaginary, complex, irrational...
Sep21-11 11:23 PM
24 4,673
This is probably a noob question, background in probability theory isn't great but I was shown this problem in a...
Oct27-11 01:19 AM
24 5,035
There are no actual paradoxes in mathematics (we hope). There are only things that appear to be paradoxes to fallible...
Oct9-12 09:32 PM
24 4,107
This is the problem that a teacher (Kevi Spacey actually) presented the class on the movie 21: You are on a TV show...
Dec16-12 06:34 PM
24 3,077
Where do numbers come from? What is the logical basis for the existence of numbers? Are numbers defined in...
Apr29-13 08:53 AM
24 1,707
Hi all. I've been thinking about this question a lot for the past few days and it seems to me that I'm committing a...
Jul7-13 08:24 PM
Stephen Tashi
24 1,844
This paper is still subject to being edited and I am an amatuer mathematician, so there may be some mistakes, typos,...
Jun27-13 10:10 PM
24 736
Imagine a million different names are in a hat, yours among them. Some number N of names will be drawn, decided by...
T 05:16 PM
24 416
my brother in law posed the following to me : A contestant on a game show is presented 3 doors, one of which has a...
Jan7-11 12:43 PM
23 23,221
I need help with the following question on Resolution in FOL. The custom officials searched everyone who entered...
Jan4-11 11:53 AM
23 2,342
Greetings, comrades! In a previous thread, a user articulated a common argument: His analogy mapping...
Feb28-12 11:18 PM
SW VandeCarr
23 3,337
Supposing X, Y and Z are three mutually independent continuous random variable, is multiplication X*Y and X*Z still...
Apr22-12 09:39 PM
23 3,035
This is actually a problem from some biological data, but can be more generally described as follows: I have a bag...
Jul1-12 11:20 AM
23 1,567
maybe this is too basic question but it is not so clear for me. when we refer to a random experiment, can a...
Apr15-14 09:39 PM
23 1,078
I have some noisy data (x-y coordinates) containing two distinct clusters of data. Each cluster is centred at an...
May22-14 11:49 AM
jim mcnamara
23 628
If you take two arbitrary numbers from a set N - lets say N stands for the natural numbers - and add them together,...
Aug9-14 10:53 AM
23 604
Hi, I am having trouble with these proofs; I don't know if I am doing these right. I'd appreciate some help. Thank...
Jun1-05 08:25 PM
22 4,048
Hi, I just started a course about Statistics and I was wondering if I am doing the following question right. Q:...
May28-05 09:44 PM
22 20,670
hi, if A = {1, 2, 4, 6} and B = {0, 2, 3, 4, 5} my understanding is that 1 is not a subset of A and 0 is not a...
Oct10-11 04:32 AM
22 50,139
i have this question: if: X=U X_i for every i in I, where X_i's are non empty and are disjoint, then |X|>=|I|....
Aug21-08 09:27 PM
Kirk Hilliard
22 2,229
Suppose we consider flipping 100 quarters. The odds of all heads is 1 out of 2^100, which is about 10^30. How can...
Jan29-07 01:14 AM
22 13,303
Does anyone know how Cantor showed the existence of Transcendental numbers. How can he say that most numbers are...
May9-07 11:48 AM
22 3,241
could you explain if we can define a main/basic concept of math and if terminology corresponds to concepts or is...
Oct20-11 05:21 AM
22 3,214
Hey everybody... I have a few quick questions concerning sets and functions for the experts... I've been trained in...
Aug27-08 09:10 AM
22 11,635
Hi, how would you show that 4^(k)+4 * 9^(k) \equiv 0 (mod 5)
Jan21-09 02:14 AM
22 1,940
A circle is an infinite series of points equidistant from the center. but can a circle be composed of an...
Jun2-09 04:57 AM
SW VandeCarr
22 2,600
Conditional Probability... My handout says this... P(m) = .4 P(w) = .5 P(m|w) = .7 Find: P(MnW) = ?
Sep21-09 01:06 PM
SW VandeCarr
22 2,332
ok, so heres the problem: given a 3 x 3 x 3 cubic system of vertices, a starting vertex, and an end vertex, how...
Jan3-12 07:05 PM
22 5,061
Here is a simple problem but with a lot of hidden difficulty: We have a weather station somewhere in the country,...
Feb24-11 09:58 AM
22 2,649
A huge common misconception about brain function is that function can be localized to "very" specific locations....
Feb7-12 10:29 PM
22 3,006
You have k urns and M (M>k) balls. Each ball is placed in a random urn (w/ uniform distrubution). What is the...
Mar6-12 12:25 PM
SW VandeCarr
22 2,555
Hi, When using data in calculations, errors can be introduced by the calculations themselves; A common example...
Jul30-12 10:12 PM
Stephen Tashi
22 2,790
I am confused about the counting of degrees of freedom. Yes, I know that it is the number of vectors which are free to...
Mar28-13 02:08 AM
22 2,006
Iím working on ways to try and assess if data selection methods are capable of isolating accurate results (from a...
Apr11-14 02:26 AM
22 996

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