Xah Talk Show 2022-07-15 WolframLang Tutorial for Programer, Demo Symbolic Computation and Term-Rewriting System

• Wolfram Language in Depth
• Emacs: Xah Wolfram Mode

Nest[f, x, 3]

f = Function[{x}, 1/(Sqrt[x^2 + 1] + 2)]

Nest[f, x, 3]

FullForm[Nest[f, x, 3]]

ReplaceRepeated[Nest[f, x, 3], Rule[Power[x_, y_], g[x, y]]]

(* 3 4)
(* x y)
(* 'x 'y)

f = Function[{x}, 1/(Sqrt[x^2 + 1] + 2)]

Table[x, {x, 1, 5}]

Table[x + y, {x, 1, 5}]

Table[x^2 + y, {x, 1, 5}]

Table[x^2 + y, {x, 1, 5, 1/2}]

Table[x^2 + y*f[x], {x, 1, 5, 1/2}]

Table[{x, y}, {x, 1, 3}, {y, 1, 2}]

xx = Table[{x, y}, {x, 1, 3}, {y, 1, 2}]

MatrixForm[xx]

TreeForm[xx]