Norm (Built-in Mathematica Symbol)

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.

PowerExpand (Built-in Mathematica Symbol)

PowerExpand[expr] expands all powers of products and powers. PowerExpand[expr, {x_1, x_2, ...}] expands only with respect to the variables x_i.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

Introduction to Differential Equation ... (Mathematica Tutorial)

The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...

Sparse Arrays: Manipulating Lists (Mathematica Tutorial)

Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...

WaveletBestBasis (Built-in Mathematica Symbol)

WaveletBestBasis[dwd] computes a best basis representation in the DiscreteWaveletData object dwd.WaveletBestBasis[dwd, cspec] computes a best basis representation using the ...

Fourier Series Package (Fourier Series Package Tutorial)

The Mathematica kernel provides the functions FourierTransform and InverseFourierTransform for computing the symbolic Fourier exponential transform and inverse transform. It ...

Combine Two or More Graphics (Mathematica How To)

When working with graphics in Mathematica , you may want to combine several graphics into a single image. Mathematica can combine graphics by overlaying them or by embedding ...

Make a Legend for My Charts (Mathematica How To)

Mathematica provides an extensive, straightforward set of tools to control the appearance of your charts. Whether you are creating chart legends with the symbolic wrapper ...