# Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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 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 26,314 Forgive me if this is a silly question, but here goes: Say you have two unrelated distributions (A and B) with... T 05:04 PM mathman 1 156 Hi, I'm trying to figure out something I'm pretty sure is true, but don't know how to prove it. I couldn't find the... Y 07:06 PM NotEuler 3 224 Hello, I'm creating a musical device which has stainless steel bars cut with a laser cutter. They are all the same... Y 12:37 AM preston8 10 453 I'm trying to write some code to do a regression on data weight (x) and time (y). As best as I can tell, the model... Dec2-13 10:55 AM DrDu 1 174 1. The problem statement, all variables and given/known data Suppose you receive calls that follow a Poisson process... Dec2-13 12:55 AM Simon Bridge 3 264 Hi all, first math post here. I was just wondering- after having read from quite a few textbooks that intuitively, a... Dec1-13 11:43 PM R136a1 4 201 Is there a good example of a probability distribution where the support set does not depend on the parameters and is... Nov30-13 07:28 PM Office_Shredder 1 205 When you have combinations where digits are 0,1,2...,m, meaning we have n=m+1 and k, is there a way to see how much of... Nov29-13 07:10 PM Stephen Tashi 2 173 Hello, I have some data that I am looking into correlation factors (Pearson). Let's say I have two data sets: X and... Nov29-13 06:03 PM mfb 1 177 I am currently reading Rautenberg's book on mathematical logic, in it he defines a propositional language... Nov29-13 05:57 PM gopher_p 1 142 Let A be is a set of some p-dimensional points x \in \mathbb{R}^p. Let d_x^A denote the mean Euclidean distance from... Nov29-13 03:54 PM ShNaYkHs 0 87 Hello I have a set of sets of real numbers greater than 1. Each set can have a different quantity of numbers. Set... Nov29-13 12:51 PM mfb 1 257 Hello, i would like to evaluate the following PDF: Let x1 ≥ x2 ≥ ... ≥ xL. What is the PDF of xi (where 1 ≤ i <... Nov29-13 11:02 AM nikozm 2 136 Is the following a valid logical proposition? Proposition: If ##\mathcal{S}## is a collection of subsets of ##X##... Nov28-13 01:14 PM V0ODO0CH1LD 4 213 Consider a co-variance matrix A such that each element ai,j = E(Xi Xj) - E(Xi) E(Xj) where Xi,Xj are random variables.... Nov28-13 12:01 PM Stephen Tashi 2 244 Hello, I'm not sure if this is the correct section to post this in, but I need some help with my graphing... Nov27-13 10:31 PM smaan 0 159 If there is an actual infinity of throws of two dice, would all combinations have the same probability (that is each... Nov27-13 04:36 PM mfb 7 416 Say you were to pick a number from at random. The probability is simply a measure. So the probability of picking any... Nov27-13 02:37 AM Simon Bridge 18 487 Other than ZFC, what other axiomatic systems have been shown to be useful to the real world? I'm a layman that is... Nov26-13 11:59 PM jedishrfu 1 134 Hello, I am trying to evaluate the following condition: Let x_1 ≥ x_2 ≥ ... ≥ x_L and x_L ≥ y, where y is a... Nov26-13 11:35 AM nikozm 0 170 Hey all, I'm doing some research on protein dynamics which involves fitting models to data. Basically, we think... Nov25-13 04:56 PM bamm7382 0 327 I want to address this post primarily to people who have already studied mathematical logic, or are currently studying... Nov24-13 05:03 PM Vahsek 10 719 Hi all, I am trying to do something that I am not sure how exactly it can be done. Not very good at statistics. ... Nov24-13 12:04 PM Stephen Tashi 2 261 I'm getting a bit confused with the stats of a chi squared test, everyone in physics labs seems to use this as a test... Nov24-13 11:43 AM Stephen Tashi 2 270 Greetings, Two or three years ago I studied mathematical logic using Kleene’s “Mathematical Logic”. I was thinking... Nov21-13 01:58 AM gufiguer 6 647 I don't completely understand why the area of the proof circled in red is true. Any advice would be appreciated. ... Nov20-13 12:03 PM Office_Shredder 5 270 Can anyone provide references for stochastic processes where future steps do depend on the past state of the system?... Nov19-13 09:08 PM copernicus1 2 325 How would one show a morphism is an epimorphism iff it is surjective (ONTO)? Nov17-13 11:16 AM PSarkar 3 469 The diagonal lemma (which can be used to prove the Gödel-Tarski Theorem, among others) apparently goes, in a nutshell,... Nov16-13 12:44 PM nomadreid 0 229 A researcher surveys 25 people and finds that their average commute is 15 minutes with a standard deviation of 1.5... Nov15-13 10:35 AM Stephen Tashi 2 361 I've already asked somebody through email this question, so I'll copy and paste part of my email: Basically, I'm... Nov14-13 12:25 AM Stephen Tashi 3 392 Suppose I have two atoms that independently emit alpha particles. I want to find the mean \Delta T for the events. I... Nov13-13 10:38 AM Stephen Tashi 1 385 $$\frac{{\sin \left( t \right)}}{t} = \prod\limits_{n = 1}^\infty {\cos \left( {\frac{t}{{{2^n}}}} \right)}$$ Nov13-13 08:48 AM vineel49 0 326 P is a one-place predicate, t is a constant, v is a variable of P. P(t/v) denotes replacing v by t in P. In the... Nov12-13 01:42 PM darkchild 1 223 Hi Please see table below GDP growth rates of a group 5 countries. I am trying to derive some conclusions from... Nov11-13 11:28 PM Simon Bridge 6 417 I have been looking at the idea of 1:1 correspondence as a method of determining set size/cardinality, and have... Nov10-13 08:34 PM SteveL27 11 490 1)A\cup(A\capB) 2)A\cap(A\cupB) Nov10-13 10:12 AM phinds 2 260 I have checked it is not Greek, looks like Q , am I right? Thanks in advance Nov10-13 09:40 AM woundedtiger4 2 380 I'm having trouble working out a few details from my probability book. It says if P(An) goes to zero, then the... Nov9-13 05:34 PM shoeburg 8 443 Hello all. I have been reading Halmos's Naive set theory. In chapter 12., there is an excercise problem which states ... Nov8-13 06:00 PM dustbin 8 2,243

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