$Pre
(Built-in Mathematica Symbol) $Pre is a global variable whose value, if set, is applied to every input expression.
$PrePrint is a global variable whose value, if set, is applied to every expression before it is printed.
General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...
Product
(Built-in Mathematica Symbol) Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...
EllipticPi[n, m] gives the complete elliptic integral of the third kind \[CapitalPi] (n \[VerticalSeparator] m). EllipticPi[n, \[Phi], m] gives the incomplete elliptic ...
Csc
(Built-in Mathematica Symbol) Csc[z] gives the cosecant of z.
Cos
(Built-in Mathematica Symbol) Cos[z] gives the cosine of z.
Sin
(Built-in Mathematica Symbol) Sin[z] gives the sine of z.
A real polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers and
You can use lists as tables of values. You can generate the tables, for example, by evaluating an expression for a sequence of different parameter values. This gives a table ...