SciPy 0.6.0 API Documentation Generated by Endo, 2007-10-17

Function summary

• central_diff_weights(Np, ndiv = 1)
• comb(N, k, exact = 0)
• derivative(func, x0, dx = 1.0, n = 1, args = (), order = 3)
• factorial(n, exact = 0)
• factorial2(n, exact = 0)
• factorialk(n, k, exact = 1)
• lena()
• pade(an, m)

Functions

• central_diff_weights(Np, ndiv = 1)

  Return weights for an Np-point central derivative of order ndiv assuming equally-spaced function points.

  If weights are in the vector w, then derivative is w[0] * f(x-ho*dx) + ... + w[-1] * f(x+h0*dx)

  Can be inaccurate for large number of points.

• comb(N, k, exact = 0)

  Combinations of N things taken k at a time.

  If exact==0, then floating point precision is used, otherwise exact long integer is computed.

  Notes:

  • Array arguments accepted only for exact=0 case.
  • If k > N, N < 0, or k < 0, then a 0 is returned.

• derivative(func, x0, dx = 1.0, n = 1, args = (), order = 3)

  Given a function, use a central difference formula with spacing dx to compute the nth derivative at x0.

  order is the number of points to use and must be odd.

  Warning: Decreasing the step size too small can result in round-off error.

• factorial(n, exact = 0)

  n! = special.gamma(n+1)

  If exact==0, then floating point precision is used, otherwise exact long integer is computed.

  Notes:

  • Array argument accepted only for exact=0 case.
  • If n<0, the return value is 0.

• factorial2(n, exact = 0)

  n!! = special.gamma(n/2+1)*2**((m+1)/2)/sqrt(pi) n odd

  = 2**(n) * n! n even

  If exact==0, then floating point precision is used, otherwise exact long integer is computed.

  Notes:

  • Array argument accepted only for exact=0 case.
  • If n<0, the return value is 0.

• factorialk(n, k, exact = 1)

  n(!!...!) = multifactorial of order k k times

• lena()
• pade(an, m)

  Given Taylor series coefficients in an, return a Pade approximation to the function as the ratio of two polynomials p / q where the order of q is m.

Imported Names