InverseWeierstrassP[p, {g_2, g_3}] gives a value of u for which the Weierstrass function \[WeierstrassP] (u; g_2, g_3) is equal to p.

StepMonitor is an option for iterative numerical computation functions that gives an expression to evaluate whenever a step is taken by the numerical method used.

Im[z] gives the imaginary part of the complex number z.

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

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

Transparency is useful in plots when you need an unobstructed view of multiple components of one plot, or simply want to lighten a single plot component against a white ...

Hue[h] is a graphics directive which specifies that objects which follow are to be displayed, if possible, in a color corresponding to hue h. Hue[h, s, b] specifies colors in ...

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

You can enhance the appearance of 3D graphics in Mathematica by changing the direction and color of plot lighting. Lighting , an option for Graphics3D and related functions, ...

In two decades of intense algorithmic development, Mathematica has established a new level of numerical computation. Particularly notable are its many original highly ...