HoldComplete (Built-in Mathematica Symbol)

HoldComplete[expr] shields expr completely from the standard Mathematica evaluation process, preventing even upvalues associated with expr from being used.

OptionValue (Built-in Mathematica Symbol)

OptionValue[name] gives the value of name in options matched by OptionsPattern. OptionValue[f, name] gives the value of name for options associated with the head f. ...

PolynomialQuotientRemainder (Built-in Mathematica Symbol)

PolynomialQuotientRemainder[p, q, x] gives a list of the quotient and remainder of p and q, treated as polynomials in x.

Through (Built-in Mathematica Symbol)

Through[p[f_1, f_2][x]] gives p[f_1[x], f_2[x]]. Through[expr, h] performs the transformation wherever h occurs in the head of expr.

TraceDialog (Built-in Mathematica Symbol)

TraceDialog[expr] initiates a dialog for every expression used in the evaluation of expr. TraceDialog[expr, form] initiates a dialog only for expressions which match form. ...

TraceScan (Built-in Mathematica Symbol)

TraceScan[f, expr] applies f to all expressions used in the evaluation of expr. TraceScan[f, expr, form] includes only those expressions which match form. TraceScan[f, expr, ...

UpValues (Built-in Mathematica Symbol)

UpValues[f] gives a list of transformation rules corresponding to all upvalues defined for the symbol f.

$Assumptions (Built-in Mathematica Symbol)

$Assumptions is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate.

$CharacterEncoding (Built-in Mathematica Symbol)

$CharacterEncoding specifies the default raw character encoding to use for input and output functions.

Riccati Equations (Mathematica Tutorial)

A Riccati equation is a first-order equation of the form This equation was used by Count Riccati of Venice (1676–1754) to help in solving second-order ordinary differential ...