Recent content by williamrand1
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Undergrad Tournament-style payout structures using exponential growth
Sorry i made a typo in my function above.. f(x) = -Ln(x/n)/n- williamrand1
- Post #10
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad 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...- williamrand1
- Post #8
- Forum: Set Theory, Logic, Probability, Statistics
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Undergrad 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?- williamrand1
- Post #6
- Forum: Set Theory, Logic, Probability, Statistics
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Graduate Find an Autonomous ODE with Specified Properties
Thanks JJ Is there an exact solution to this?- williamrand1
- Post #5
- Forum: Differential Equations
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Graduate Find an Autonomous ODE with Specified Properties
Thanks pasmith Could you explain why it is not possible?- williamrand1
- Post #4
- Forum: Differential Equations
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Graduate 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...- williamrand1
- Thread
- Ode Properties
- Replies: 7
- Forum: Differential Equations
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Graduate 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.- williamrand1
- Post #7
- Forum: Differential Equations
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Graduate 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...- williamrand1
- Post #6
- Forum: Differential Equations
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Graduate 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..- williamrand1
- Post #4
- Forum: Differential Equations
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Graduate 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...- williamrand1
- Post #3
- Forum: Differential Equations
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Graduate 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- williamrand1
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- Cartesian Difference Eigenvalue Period Polar Representation
- Replies: 6
- Forum: Differential Equations
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Problem with For Loop - Any Help Appreciated
Ive figured it out lads so thanks anyway...- williamrand1
- Post #4
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Problem with For Loop - Any Help Appreciated
Soory for the delay. The language is matlab.- williamrand1
- Post #3
- Forum: MATLAB, Maple, Mathematica, LaTeX
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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!- williamrand1
- Thread
- Loop
- Replies: 3
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Undergrad Is there an ODE with only time dependence and constant position?
Hi Matt My last post to nasu explains the problem in more detail- williamrand1
- Post #15
- Forum: Thermodynamics