Recent content by chuy52506

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    4th order differential equation

    But where is the root e(2*m*pi*i)/3 derived from? and how is this equivalent to the roots:2,-1+i*sqrt(3),-1-i*sqrt(3) for m=1,2,3
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    4th order differential equation

    The roots are r=0,2*e(2*m*pi*i)/3 then it says this is equivalent to r=0,2,-1+i*sqrt(3),-1-i*sqrt(3) Then the gen solution is y=c1+c2*e2*t+e-t*[c3*cos(t*sqrt(3))+c4*sin(t*sqrt(3))] I don't know how they arrive to this
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    4th order differential equation

    I'm trying to find the gen. solution to the equation y''''-8y'=0 I found the characteristic polynomial by plugging in ert as a solution to y. I got, r^4-8r=0 I simplified to get r*(r^3-8) Thus one root is 0, for the other 3 i must find the cubed root of 8. I know the answer is...
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    Math Modeling with markov chains

    Can anyone point me in the right direction?
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    Math Modeling with markov chains

    So I am trying to model the different states of education one can achieve. These include Elementary school, Middle school, high school, community college, 4 year university. Each one will be a different state(Ex state 1 = elementary school). Some states will be connected together with a...
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    Calculating Probability of Bird Survival Over Time | Simple Probability Problem

    Homework Statement Suppose i have 150 birds each having a survival rate of .5.Homework Equations What would be the probability that there are 0 birds after 5 times steps? The Attempt at a Solution The only way I could think of doing this would be to find the expected value after four time...
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    Need help writing simple Haskell program please

    So for my program I want to input this line of code: addPairs 10 [(2,3),(4,15),(87,92),(23,45)] Where the 10 after addPairs is the minimum distance the pair (x,y) must have in order to be outputted as [x+y] For example : addPairs 10 [(2,3),(4,15),(87,92),(23,45)] would output: [ 19...
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    Question about probability with absorption

    i changed the problem a bit to make more sense
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    Question about probability with absorption

    im sorry i meant to ask Starting from N=2, what is the expected number of steps before absorption?
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    Question about probability with absorption

    say we have integers 0-10. We start with N and the probability that N grows by 1 is .69. The probability that N decreases by 1 is .31. Thus obtaining N+1 after one time step is .69 and similar obtaining N-1 is .31. Once N reaches 0 or 10 it is absorbed and can't move from there. My question is...
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    Least squares fitting by a constant

    I only have taken an introductory course to linear algebra and no optimization...im sorry I am confused, so there is no need to use matrices? and why would (y(a),c) be squared?
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    Condition number of a function

    is it possible for the condition number to be 0? I have a formula defining k as being: ||J||/(||f(x)||/||x||) where J is the jacobian of f. So in this case the jacobian would be 0 and thus k=0?
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    Least squares fitting by a constant

    say we have data set {y(t sub i), t sub i} Where i=1 2 3...m. I know how to fit these into a line of the form ax+b, but how about fitting into a constant??
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