Command FLEGENDRE
Parameters Defaults
FLEGENDRE order 0
/
DEGREES
RADIAN
EVEN
ODD
NORMALIZED
Purpose
Specify a series of Legendre polynomial fit functions.
Function
The general fit function is
y = f(x) = p1 + p2 * P1(x) + p3 * P2(x) + ...
Start values are set to zero.
Examples
FLEG 2
defines a fit function
y(x) = p1 + p2 * P1(x) + p3 * P2(x)
= p1 + p2 * x + p3 * ( 3*x*x - 1 ) / 2
Parameter ORDER
Order of polynomial
Parameter DEGREE
Legendre polynomials P(cos(x)) are calculated with x interpreted as angles in degrees.
Parameter RADIAN
Legendre polynomials P(cos(x)) are calculated with x interpreted as angles in radians.
Parameter EVEN
Series contains only even terms:
y = f(x) = p1 + p2 * P2(x) + p3 * P4(x) + ...
Parameter ODD
Series contains only odd terms:
y = f(x) = p1 + p2 * P1(x) + p3 * P3(x) + ...
Parameter NORMALIZED
The series is normalized, i.e. absolute and relative magnitude of the
coefficients are separated:
y = f(x) = p1 * ( 1 + p2 * P1(x) + p3 * P2(x) + ... )