When you enter a piece of input such as 2+2, Mathematica first recognizes the + as an operator and constructs the expression Plus[2,2], then uses the built-in rules for Plus ...
If you use your computer via a purely graphical interface, you will typically double-click the Mathematica icon to start Mathematica. If you use your computer via a textually ...
lhs := rhs assigns rhs to be the delayed value of lhs. rhs is maintained in an unevaluated form. When lhs appears, it is replaced by rhs, evaluated afresh each time.
Set
(Built-in Mathematica Symbol) lhs = rhs evaluates rhs and assigns the result to be the value of lhs. From then on, lhs is replaced by rhs whenever it appears. {l_1, l_2, ...} = {r_1, r_2, ...} evaluates ...
When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...
Infinity or \[Infinity] is a symbol that represents a positive infinite quantity.
InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.
Opacity
(Built-in Mathematica Symbol) Opacity[a] is a graphics directive which specifies that graphical objects which follow are to be displayed, if possible, with opacity a. Opacity[a, color] uses the specified ...
Sqrt
(Built-in Mathematica Symbol) Sqrt[z] or Sqrt[z] gives the square root of z.
ToString[expr] gives a string corresponding to the printed form of expr in OutputForm. ToString[expr, form] gives the string corresponding to output in the specified form.