Recent content by tmbrwlf730

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    Math Job in Artificial Intelligence with a Math Degree

    I'm currently going for my Master's in math (bachelors in applied math) but while applying I had to make the choice between math and computer engineering. I went ahead and chose math because when looking at job postings it seemed like it was an acceptable degree for several of them. Almost...
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    Statistics vs computer science

    Have you looked into computational science? It uses tools from math, computer science, and physical sciences to solve and model problems. Some schools call it scientific computing. There are also degrees in things like computation physics, computational mathematics, computational biology...
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    Is it Possible to Challenge Real Analysis I and II for Grad School Credit?

    Hello. The university I attend allows you to challenge some courses for grad school. Two of them are Real Analysis I and Real Analysis II. This made me consider trying it. The cost of the challenge test is the same as the cost if you took the course so it really has to count. I wanted to...
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    Exercise from Naive Set Theory by Halmos

    For those who have read Halmos, in Section 6 Ordered Pairs (page 23 in my book), he gives a non-trivial exercise to find an intrinsic characterization of those sets of subsets of A that correspond to some order in A. I'm curious what that characterization is. A is suppose to be a quadruple...
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    Does Universal Algebra Have Applications in Physics?

    I was wondering if universal algebra had any applications in physics. I've done some searches and people have mentioned uses in theoretical computer science but how about in any branch of physics?
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    Gamma distribution from sample mean of Exponential distribution

    What I was thinking that something had to cancel so that I can integrate the function. I haven't worked with the gamma function so I'm not sure about some things. So the \Gamma(n) = ∫ sn-1 e-s ds. So we get ∫\frac{λ^{n}s^{n-1}e^{-λs}}{∫s^{n-1}e^{-s}ds}ds Would the sn-1 in the numerator...
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    Gamma distribution from sample mean of Exponential distribution

    So think I got it. First to make things easier I'm just going to call \frac{1}{θ} = λ So.. ∫^{nx}_{0} \frac{λ^{n} s^{n-1} e^{-λs}}{\Gamma (n)} ds where the sn-1 cancel out right? ∫^{nx}_{0} λn e-λs + s ds after working with the e-s in the denominator of the integrand. ∫^{nx}_{0}...
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    Gamma distribution from sample mean of Exponential distribution

    I'm sorry but I'm still not getting it. I understand about the erlang distribution and after plugging in what should be the parameters for it from (\frac{λ}{λ - t})n I get ∫^{nx}_{0}\frac{s^{n-1} e^{-\frac{s}{θ}}}{θ^n \Gamma (n)} where \Gamma(n) = ∫^{∞}_{0} sn-1 e-s ds I'm...
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    Gamma distribution from sample mean of Exponential distribution

    Homework Statement Let X1, X2,...,Xn be a random sample from the exponential distribution with mean θ and \overline{X} = \sum^{n}_{i = 1}X_i Show that \overline{X} ~ Gamma(n, \frac{n}{θ}) Homework Equations θ = \frac{1}{λ} MGF Exponential Distribution = \frac{λ}{λ - t} MGF Gamma...
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    Which graduate math courses for mathematical physics

    Hello, I've started a MS in mathematics at my university and I'm interested in mathematical physics or going to to physics for a PhD. The classes required for the MS are 2 semesters of real analysis, linear algebra, and one semester of algebra, everything else is up to the student to pick and...
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    Can you ever go back to physics?

    Hello everyone. I started a master's in mathematics this semester and I'm worried I'm not excited about as much as I thought I would be. I double majored in physics and mathematics for my BS and now I think I miss the physics. I wanted to do a MS in mathematics and then go back to physics for...
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    Are MOOCs a Valuable Addition to Resumes and Education?

    What is everyone's opinion on MOOCs (Massive Online Open Courses), those free online courses that anyone can sign up for. Some offer certificates, do you think they are worth doing to put on a resume? Do they hold any value? Do you think they could be taken into consideration when applying...
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    Is X^2 Continuous Using Delta-Epsilon Proof?

    Hi everyone. So the delta-epsilon proof to show that x2 is continuous goes a little like: |f(x) - f(xo)| = |x2 - xo2| = |x - xo| |x + xo|. Here you want to bound the term |x + xo| = |x| + |xo| by taking |x| = |x - xo + xo| = |x - xo| + |xo|. Here you're suppose to take δ = 1 while |x - xo|...
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    Medical Physics ^ Computational Medicine?

    Hi everyone, I've been looking at some programs for medical physics and I'm some what interested in computational medicine so I was wondering if these two fields every unit? Is it possible to research computational medicine as a medical physicist? From what I've read they mostly deal with...
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    Computer Science with Pure Math or Applied Math?

    I think applied math but take some pure math courses. I'm a math major who has taken computer science courses and noticed that a lot of useful stuff for algorithm development show up in pure math courses. We touched on those topics in the computer science courses but not like we did in the...
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