Termination Conditions (Mathematica Tutorial)

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

ArcTan (Built-in Mathematica Symbol)

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

AtomQ (Built-in Mathematica Symbol)

AtomQ[expr] yields True if expr is an expression which cannot be divided into subexpressions, and yields False otherwise.

SQLTableTypeNames (DatabaseLink Symbol)

SQLTableTypeNames[conn] returns the types of table supported in an SQL connection.

Median (Built-in Mathematica Symbol)

Median[list] gives the median of the elements in list. Median[dist] gives the median of the symbolic distribution dist.

PageRankCentrality (Built-in Mathematica Symbol)

PageRankCentrality[g, \[Alpha]] gives a list of page-rank centralities for the vertices in the graph g and weight \[Alpha].PageRankCentrality[g, \[Alpha], \[Beta]] gives a ...

ChineseRemainder (Built-in Mathematica Symbol)

ChineseRemainder[{r_1, r_2, ...}, {m_1, m_2, ...}] gives the smallest non-negative x that satisfies all the integer congruences x mod m_i = r_i mod m_i.

IntegerExponent (Built-in Mathematica Symbol)

IntegerExponent[n, b] gives the highest power of b that divides n.

StringJoin (Built-in Mathematica Symbol)

"s_1" <> "s_2" <> ..., StringJoin["s_1", "s_2", ...], or StringJoin[{"s_1", "s_2", ...}] yields a string consisting of a concatenation of the s_i.

VertexReplace (Built-in Mathematica Symbol)

VertexReplace[g, {v_1 -> w_1, v_2 -> w_2, ...}] replaces each vertex v_i in the graph g by w_i.