568 reputation
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bio website darwinbots.com
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I'm a programmer in the video game industry, working with physics engines. In my spare time, I'm working on an engine for a physically simulated artificial life simulator (Darwinbots). My mathematical interests primarily stem from that, and delve in to linear algebra and numerical analysis.


Apr
16
asked Least squares of symmetric positive semidefinite matrices
Feb
19
comment Chebyshev polynomials with non-negative constants
Assuming the original coefficients of the monomial form are all positive, the coefficients in the Chebyshev form should also be positive. That follows from the above identity for $x^N$.
Feb
18
revised Chebyshev polynomials with non-negative constants
added 170 characters in body
Feb
18
revised Chebyshev polynomials with non-negative constants
added 28 characters in body
Feb
18
answered Chebyshev polynomials with non-negative constants
Feb
16
asked Can this binomial coefficient term be simplified?
Feb
6
answered Inverse of sum of fractions
Feb
6
comment Does this bidiagonal matrix have a name?
Ah, yes, good point
Feb
6
revised Does this bidiagonal matrix have a name?
deleted 6 characters in body
Feb
6
asked Does this bidiagonal matrix have a name?
Feb
5
comment Inverse of sum of fractions
I'm trying to plug holes, basically. If $b_i \rightarrow 0$ for some i, then the final inverse sum should approach 0 as well, but in practice I lose numerical precision. I was wondering if there was a way to express the above in terms of the determinant of a matrix, with no divisions, such that $b_i = 0$ would give me the determinant of a singular matrix and spit out 0.
Feb
5
comment Inverse of sum of fractions
Hmm, that's true but not particularly useful. So maybe I limit this to just determinants?
Feb
5
asked Inverse of sum of fractions
Feb
3
comment What does $\Delta$ mean in context of vector calculus?
Ah, I was so close and yet so far :) Thanks!
Feb
3
accepted What does $\Delta$ mean in context of vector calculus?
Feb
3
asked What does $\Delta$ mean in context of vector calculus?
Jan
29
revised Numerically integrate with non-linear steps?
edited tags
Jan
29
asked Numerically integrate with non-linear steps?
Jan
27
asked Numerically integrating in to Chebyshev polynomial
Jan
26
comment Can this expression involving pseudoinverse be simplified?
Matlab experiments seem to indicate you can't just do something like sqrt(pinv(D)) when D has a 0 element :( Still, thanks for the help.