I received a Ph.D. in number theory from UC Berkeley in 1997. I also enjoy other areas of math, as well as physics and computer programming. I live in Goleta, CA, near Santa Barbara and work at Raytheon in Goleta.

Submitted

Lucas.m

Given a nonnegative integer n, return the nth Lucas number.

12 years ago | 0 downloads |

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rqf.m

Reduce a binary quadratic form, given as a row vector of length 3.

12 years ago | 0 downloads |

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Physics.zip

Archive containing various files pertaining to physics.

12 years ago | 6 downloads |

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ClebschGordan.m

ClebschGordan(j1,j2,j,m1,m2,m) is the Clebsch-Gordan coefficient <j1,j2,m1,m2|j1,j2,j,m>.

12 years ago | 5 downloads |

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GeneralizedLucas.m

GeneralizedLucas(n,a,b) returns the generalized Lucas number with index n and parameters a and b.

12 years ago | 0 downloads |

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GeneralizedFibonacci.m

GeneralizedFibonacci(n,a,b) returns the generalized Fibonacci number.

12 years ago | 0 downloads |

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RoundQCF.m

RoundQCF(d,u,v) returns the "round" continued fraction expansion of (u+sqrt(d))/v.

12 years ago | 0 downloads |

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harmonic.m

Harmonic(n) is an estimate of the nth harmonic number.

12 years ago | 6 downloads |

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fromcfrac.m

Returns the number with the given continued fraction expansion.

12 years ago | 0 downloads |

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Pell.m

Pell(d,s,n) returns the first n positive integer solution to the modified Pell's equation x^2-dy^2=+

12 years ago | 0 downloads |

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QCF.m

QCF(d,u,v,quiet) returns the continued fraction expansion of (u+sqrt(d))/v.

12 years ago | 2 downloads |

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roundcfrac.m

Computes the "round continued fraction" of a given complex number.

12 years ago | 0 downloads |

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cfrac.m

cfrax(x,n) returns the first n terms in the contined fraction expansion of x.

12 years ago | 1 downloads |

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Wigner3j.m

Wigner3j(j1,j2,j,m1,m2,m) returns the Wigner 3j-symbol.

12 years ago | 4 downloads |

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AssociatedLaguerrePoly.m

This program returns the coefficients of the Associated Laguerre polynomial L_{n,m}, given n and m.

12 years ago | 6 downloads |

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LaguerrePoly.m

This program returns the coefficients of the Laguerre polynomial L_n, given n.

12 years ago | 1 downloads |

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HermitePoly.m

This program returns the coefficients of the Hermite polynomial H_n, given n.

12 years ago | 17 downloads |

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LegendrePoly

This program returns the coefficients of the Legendre polynomial P_n, given n.

12 years ago | 15 downloads |

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ChebyshevPoly.m

This program returns the coefficients of the Chebyshev polynomial T_n, given n.

12 years ago | 25 downloads |

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partitiontable.m

Given a nonnegative integer n, compute a table of the unrestricted partition function p(m) for m<=n.

12 years ago | 3 downloads |

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Fibonacci.m

Given an integer n, return the nth Fibonacci number.

12 years ago | 3 downloads |

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binomial.m

This program computes the binomial coefficient C(n,m).

12 years ago | 1 downloads |

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MinkowskiQM.m

Given x from 0 to 1, compute ?(x), where ? is the Minkowski question mark function.

12 years ago | 0 downloads |

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ChebyshevExpansion.m

Given a polynomial f(x) expressed as a column vector, compute the coefficients of the expansion ...

12 years ago | 0 downloads |

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LegendreExpansion.m

Given a polynomial f(x) expressed as a column vector, compute the coefficients of the expansion ...

12 years ago | 0 downloads |

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tau.m

Given a nonnegative integer n, tau(n) is the Ramanujan tau function of n.

12 years ago | 1 downloads |

Submitted

sigma.m

Given nonnegative integers k and n, sigma(k,n) is the sum of the kth powers of the divisors of n.

12 years ago | 1 downloads |