# Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
 Views: 8,401 Announcement: Two free ways to get Gold Membership! Jan17-12 Meta Thread / Thread Starter Last Post Replies Views Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 10:25 AM micromass 1 27,214 Suppose we are asked to prove : If \lim_{n\to\infty}x_{n} = L and x_{n} is decreasing,then \forall n. On the... Jun9-11 08:38 AM micromass 17 1,942 Suppose you have a formal proof of a statement S, but you want to prove a statement S' which is in some way similar to... May16-09 02:58 PM mXSCNT 0 665 Lets say I have \aleph_1 numbers of sets that each have \aleph_1 number of elements and I want to show that the... Aug16-12 02:34 PM Bacle2 9 845 Given sets X1,...,Xn the projection from the product X1 * ... *Xn is the function pri = prxi : X1 * ... *Xn → Xi ,... Mar18-12 07:52 PM Square1 12 2,422 So, I made it to the finals for my fantasy football league. The winner receives $100 and the runner-up$10 (maybe... Dec10-12 07:38 AM jjpbq6 0 615 Hello! I've come here today seeking information about how I can build a ranking system that will sort through some... Aug1-10 07:35 PM CRGreathouse 3 1,270 Dear mates, I run into a difficulty on the captioned area and am looking forward for enlightenments. Consider... May29-07 12:18 PM MWG@berlin 0 4,065 I have always wondered: Is the product rule and addition rule for that matter axioms of the probability theory or... Jul30-13 09:07 PM chiro 2 343 Hi, I am interested in the product of a Gaussian random variable with itself. If X is Gaussian then what is X^2? We... Mar14-11 07:19 AM architect 3 2,594 say, E(1/x)=a and E(y)=b. a and b are constants and x and y are random variables. Can I say E(y/x)=b/a? Thanks. Apr3-10 05:52 PM zli034 2 1,390 Hi, All, Let x1 x2... Xn be correlated random events (or variables). Say P(X1), P(X2)..., P(Xn) can be computed,... Apr23-09 03:13 PM mXSCNT 1 2,392 If you have P(x) distribution and P(y) distribution, then one may write the charactersitic functions of each of these... Jan20-09 07:02 PM natski 0 620 Hi all, I am using a Xi squared test to for independence of two sets of categorical data. So lets say I have a... Oct29-11 01:41 AM Stephen Tashi 1 1,350 If you have a data set which consists of n variables and m factors which are essentially randomly correlated and you... Mar26-09 11:52 AM engineer23 0 1,385 so i'm having problems with logic exercies especially when it asks you to prove long equations like when you just use... Jan24-13 04:35 PM Andrax 2 567 I'm building the circuit for controlling LEDs line with LDR sensor . It can be done by using Many Op-Amp but I... Mar29-09 10:35 PM Vincent90 0 1,060 "Pat arrives at the bus stop at some time U, which is uniformly distributed between time 0 and time 1, and waits for a... Oct30-08 09:05 PM Enuma_Elish 1 1,215 (I asked this question also in Homework Help for Comp Sci and Engineering, but maybe someone in here can answer this)... Feb3-07 09:56 PM CRGreathouse 5 1,833 Problem: 10 couples are seated at 5 tables. There are 4 seats at each table; 2 men and 2 women are seated at each... Dec5-10 09:08 PM mynameisfunk 0 715 Hello, we are given N independent random variables z_i defined as follows: z_i = \theta + v_i where the r.v.... Nov5-10 12:14 PM jbunniii 3 822 I mean if you define the n-th momentum of a probability distribution: = \int_{-\infty}^{\infty} dx P(x) x^n... Aug7-06 03:08 PM eljose 0 1,190 I have been reviewing my set theory and topology and recently came across an assertion I was not familiar with, and... Oct17-05 08:56 PM inquire4more 13 2,585 Hello all, I have a problem that hopefully belongs in this forum. Suppose that I have a bag full of M marbles,... May28-05 12:33 PM straycat 12 1,422 Hello all, I am trying to prove that the following is true: lim_{M \rightarrow \infty} \sum_{P =... Jul10-05 10:15 AM Hurkyl 1 2,747 Hi everyone, very excited to be here and this my first post. I have a question about data fitting by using least... Aug5-11 04:52 PM mathman 1 1,376 Using summation((\stackrel{n}{k})xkyn-k) = (x+y)n, I let x = y = 1. This should then result in... Dec22-10 10:22 AM Puzzedd 3 757 Hi, I have the following questions 1) A coin is tossed 9 times. In how many ways could the results be six heads... Feb20-12 04:38 PM tiny-tim 5 982 I don't know if this is getting posted in the right area, so please let me know otherwise. We have some hardware... May16-08 11:47 PM CoandaEffect 0 983 Dear all, I wonder if anyone has come across this problem before and could point me to a relevant ref or tell me... Apr5-12 01:24 PM gabe_rosser 2 920 Hi, I am a math developer for a gaming technology company, and need the assistance of a math/computer science guru. ... Aug23-12 01:35 PM mfb 7 812 Hi All. There is a problem in Halmos's Naive Set Theory on page 49. It states that "if n\neq0 and if n is a natural... Jun13-12 04:22 PM StatOnTheSide 5 1,330 Hi all, I have the following question: Suppose there are two functions \alpha,\beta, which are both mapping... Aug28-10 09:22 PM wayneckm 9 989 how could i express using only the operator NOR (in logic) the rest of operation NOT(x) AND(x,y) OR(x,y) that is how i... May14-09 11:22 AM Moo Of Doom 1 797 Problem: -The Union of set A, set B and set C has 104 elements. -The Union of Set A and B has 51 elements -The... Oct9-12 10:46 AM Kolmogorov 4 585 Hello All, I am enrolled in a third year probability course, and the course text book is Introduction to... May7-12 01:57 PM Karlx 1 1,040 Hi, Can someone plz solve this sum either by drawing a rook diagram or any other way the question goes like:... May5-05 01:55 PM campa 6 1,033 Here goes a theorem and its demonstration(attachment) .Sorry,I couldn't find it in english,so it's in portuguese). ... Jan23-07 08:26 AM HallsofIvy 1 947 Hi, seems to me I cannot get a grip on the maths behind the statistics and my head is dizzy from all the terms and... Aug20-12 07:54 AM NdotA 4 844 I have a statistics test coming up and we were given two really hard problems to figure out. I dont quite know what... Jun20-05 12:52 AM maccaman 0 3,262 Can anyone give me some advice about this problem? Thanks. Let \lim_{n \to \infty}X_{n}=X a.s. And let... Nov11-09 02:25 PM yavanna 0 1,930