LiftingWaveletTransform[data] gives the lifting wavelet transform (LWT) of an array of data.LiftingWaveletTransform[data, wave] gives the lifting wavelet transform using the ...

Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

The Mathematica functions Reduce, Resolve, and FindInstance allow you to solve a wide variety of problems that can be expressed in terms of equations and inequalities. The ...

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

DaysPlus[{year, month, day}, n] gives the date n days after the date {year, month, day}.DaysPlus[{year, month, day, hour, minute, second}, n] gives the date n days after the ...

Highlight[g, p] displays g with elements in p highlighted. The second argument p has the form {s_1, s_2, ...}, where the s_i are disjoint subsets of vertices and edges of g.

New functions CountRoots, IsolatingInterval, and RootIntervals have been added to the built-in Mathematica kernel. IsolatingInterval includes the functionality of ...

ContourPlot3D and ListContourPlot3D have been added to the built-in Mathematica kernel.

NewtonCotesError[n, f, a, b] gives the error in the elementary n-point Newton-Cotes quadrature formula for the function f on an interval from a to b.