List plotting in mathematica
While searching for something else in Wasserman stumbled upon Legendre polynomials and decided to have a look at visual representation of it. And why not to do that in Mathematica?!
(*Defining Legendre polynomial*)
f[j_] := 1/(2^j j!) D[(x^2 - 1)^j, {x, j}]
(*Creating an empty list and appending first 5 polynomials*)
lst = {};
Do[AppendTo[lst, f[j]], {j, 0, 5}]
(*Plotting and styling*)
Plot[lst, {x, -1, 1},
PlotRange -> {{-1, 1}, {-1, 1}},
PlotLabel -> Style["Legendre polynomials",
FontSize -> 16,
FontWeight -> Bold],
Background -> Lighter[Black, 0.2],
ImageSize -> {500, 300}]
This perhaps could’ve been done with a Table, but let’s keep that for the next time.
And here what we get as a result.
