140 reputation
5
bio website endoftheinter.net
location Canada
age 25
visits member for 2 years
seen Nov 7 '13 at 22:10

Recent McGill graduate (B.Eng. Mechanical '12) learning Python for fun and profit.


Jan
21
awarded  Supporter
Jan
21
accepted Is this Perlin Noise?
Jan
21
asked Is this Perlin Noise?
Oct
2
awarded  Scholar
Oct
2
accepted Recurrence relation for a function with an integral of the function?
Sep
20
comment Recurrence relation for a function with an integral of the function?
this looks like the right direction I think the miraculous cancellations are a feature, not a bug haha
Sep
20
comment Recurrence relation for a function with an integral of the function?
well, the more I looked at the "simplified" example I gave the more I realized that it just wouldn't do. The itnegral from 0 to 0 would be 0 and then g(1) would = 0 instead of the given starting condition of 1. The answer is most definitely not constant. I suspect it is a differential equation of the form above.
Sep
20
comment Recurrence relation for a function with an integral of the function?
where a, b and c are all functions of f
Sep
20
comment Recurrence relation for a function with an integral of the function?
A friend suggested that the correct approach is differentiating the function thrice. However, I gave that an elementary stab using the Leibniz rule definitions I found online and I couldn't get rid of the integral itself. The solution should most likely be a differential equation in the form g'''(f) = a*g''(f) + b*g'(f) + c*g(f), which I should hopefully then be able to solve into g(f)
Sep
20
awarded  Student
Sep
20
revised Recurrence relation for a function with an integral of the function?
added 2 characters in body
Sep
20
comment Recurrence relation for a function with an integral of the function?
the fact that there is an initial condition suggested this is the approach, but I just cannot make it work
Sep
20
awarded  Editor
Sep
20
revised Recurrence relation for a function with an integral of the function?
added 134 characters in body
Sep
20
comment Recurrence relation for a function with an integral of the function?
that is perfect. thank you!
Sep
20
asked Recurrence relation for a function with an integral of the function?
Sep
19
comment Continuous distributions on a vanishing length with an off-limits region
I apologize for any confusion in my terminology. I did mean uniformly, and the fraction is always on the right hand end. You have the same process as I, but my expected remaining lengths take it as a given that the slice actually happened, which why the probability that a slice what taken off in the previous round is actually 100%. So <pre>1-1/2*3/4=0.625</pre>
Sep
19
asked Continuous distributions on a vanishing length with an off-limits region
Sep
19
awarded  Autobiographer