All the functionality of Utilities`Notation` is now available in the newly created Notation Package.

ArithmeticGeometricMean[a, b] gives the arithmetic-geometric mean of a and b.

NullRecords is an option for Read and related functions which specifies whether null records should be taken to exist between repeated record separators.

SatisfiabilityCount[bf] counts the number of possible combinations of variable values that yield True when supplied as arguments to the Boolean function ...

ListGraphs[n, m] returns all nonisomorphic undirected graphs with n vertices and m edges. ListGraphs[n, m, Directed] returns all nonisomorphic directed graphs with n vertices ...

CatalanNumber and Subfactorial have been added to the built-in Mathematica kernel. CatalanNumber and Subfactorial can now be evaluated numerically for noninteger arguments. ...

GraphRadius[g] gives the minimum eccentricity of the vertices in the graph g.

SpheroidalPSPrime[n, m, \[Gamma], z] gives the derivative with respect to z of the angular spheroidal function PS n, m (\[Gamma], z) of the first kind.

When you make a sequence of definitions in Mathematica, some may be more general than others. Mathematica follows the principle of trying to put more general definitions ...

Partial differentiation operations. This gives ( ∂ ) / ( ∂x ) x^n. This gives the third derivative.