Sum,
Product (modified) — indefinite sums and products and major new algorithms
FindSequenceFunction — find functional forms for integer sequences
FindGeneratingFunction — find generating functions
RSolve (modified) — solve a system of recurrence equations
PrimeOmega,
PrimeNu — number of distinct prime factors
BooleanFunction — general Boolean functions
BooleanCountingFunction — symmetric Boolean functions
BooleanConvert — convert between Boolean formats (CNF, DNF, ESOP, NOR, BFF, ...)
BooleanMinimize — find a minimal Boolean form
SatisfiableQ — test a Boolean expression for satisfiability
ArgMin,
ArgMax — position of minimum, maximum
FourierSeries — truncated complex Fourier series to any order
FourierCoefficient — n
coefficient in a Fourier series
SymmetricMatrixQ — test whether given matrix is symmetric
NDSolve (modified)
— new support for delay differential equations
DifferentialRoot — symbolic representation of solutions to linear differential equations
Wronskian — test linear independence of functions or ODE solutions
LinearModelFit — construct a linear regression model from data
NonlinearModelFit — construct a nonlinear regression model
