Recent content by williamrand1

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    Tournament-style payout structures using exponential growth

    Sorry i made a typo in my function above.. f(x) = -Ln(x/n)/n
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    Tournament-style payout structures using exponential growth

    Im not sure about a polynomial function. I believe I've come up with a function that works. It a density function got from integrating the following logarithmic function, f(x) = -Ln(x/n). x is position. 1 is first place, 2 is second place etc. n is the total number of payouts. The...
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    Tournament-style payout structures using exponential growth

    Hi did you solve this problem?? I think i understand what you want to do. Do you want the payout to decrease exponentially from first position down to last payout position?
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    Find an Autonomous ODE with Specified Properties

    Thanks JJ Is there an exact solution to this?
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    Find an Autonomous ODE with Specified Properties

    Thanks pasmith Could you explain why it is not possible?
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    Find an Autonomous ODE with Specified Properties

    Hi everyone, Im looking for an autonomous first order ode that has the following properties. For dependent variable x: x(t=∞)=0 x(t=-∞)=0 and the function x(t) has one maximum. Any help would be great. Rgds...
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    Difference of period between cartesian and polar eigenvalue representation

    Problem Solved! The problem used a discrete system, not a continuous one. So the linearized solution is y=a^k. so in polar form a=r*exp(iθ) then y=r^k * exp(iθk) so the period would be T=2pi/θ.
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    Difference of period between cartesian and polar eigenvalue representation

    Thanks Ibix. I emailed the author of the paper, hopefully he can explained it to me. Ill let you know the result...
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    Difference of period between cartesian and polar eigenvalue representation

    Sorry, in the equation for T it should be d not b. Any help would be great. Thanks..
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    Difference of period between cartesian and polar eigenvalue representation

    Thanks Ibix. I understand ur point. Im reading a paper and in it a linear stability analysis is done on a model. The characteristic eqt turns out to be, a^2 -(2-d)*a +1=0, a is the eigenvalue and d is a constant from the jacobian matrix. In the paper they say the period of the cycle of the...
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    Difference of period between cartesian and polar eigenvalue representation

    The solution to a linear differential equation is, y=exp(ax). If a is complex ,say a=b+ic, then the period is T=2pi/c. My question is, if a is in polar form, a=r*exp(iθ), how is the period then T=2pi/θ. Any help would be great, Thank, Will
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    Problem with For Loop - Any Help Appreciated

    Ive figured it out lads so thanks anyway...
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    Problem with For Loop - Any Help Appreciated

    Soory for the delay. The language is matlab.
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    Problem with For Loop - Any Help Appreciated

    Hi all, Im having a problem with the for loop. Any help would be great! The code is simple, x = -3:0.5:3; For i = x q(i) = i^2; end q The error seems to be the negative index in the statement of the for loop. Hope this is clear. Thanks!
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    Is there an ODE with only time dependence and constant position?

    Hi Matt My last post to nasu explains the problem in more detail
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