SolveAlways[eqns, vars] gives the values of parameters that make the equations eqns valid for all values of the variables vars.
StringQ
(Built-in Mathematica Symbol) StringQ[expr] gives True if expr is a string, and False otherwise.
TransformationFunctions is an option for Simplify and FullSimplify which gives the list of functions to apply to try to transform parts of an expression.
Unique
(Built-in Mathematica Symbol) Unique[] generates a new symbol, whose name is of the form $nnn. Unique[x] generates a new symbol, with a name of the form x$nnn. Unique[{x, y, ...}] generates a list of new ...
VertexIndex[g, v] gives the integer index for the vertex v in the graph g.
VertexOutDegree[g] gives the list of vertex out-degrees for all vertices in the graph g.VertexOutDegree[g, v] gives the vertex out-degree for the vertex v.
Write
(Built-in Mathematica Symbol) Write[channel, expr_1, expr_2, ...] writes the expressions expr_i in sequence, followed by a newline, to the specified output channel.
$ContextPath is a global variable that gives a list of contexts, after $Context, to search in trying to find a symbol that has been entered.
$Path
(Built-in Mathematica Symbol) $Path gives the default list of directories to search in attempting to find an external file.
There are many situations where one wants to find a formula that best fits a given set of data. One way to do this in Mathematica is to use Fit. Basic linear fitting. Here is ...