A set of polynomials dependent on continuous variable x and integers m (and sometimes n) which have useful orthogonality and spanning properties.
Known to have useful solutions when dealing with spherical coordinates and potentials. Want more info? There's a fantastic website I know called Google. It'll find anything for you ;)
#4
romant61
2
0
Legendre Polynomials
I need some help. I fitted a 7th order legendre polynomial and got the L0 to L7 coefficients for different classes. How can I get a back transformation in order to plot each class using the estimated coefficients?
Thanks to anybody.
Roberto.
I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr:
$$
\mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}}
$$