Linear and Quasi-Linear PDEs (Mathematica Tutorial)

First-order PDEs are usually classified as linear, quasi-linear, or nonlinear. The first two types are discussed in this tutorial. A first-order PDE for an unknown function ...

JacobiDS (Built-in Mathematica Symbol)

JacobiDS[u, m] gives the Jacobi elliptic function ds(u | m).

JacobiSD (Built-in Mathematica Symbol)

JacobiSD[u, m] gives the Jacobi elliptic function sd(u | m).

Curve Fitting & Approximate Functions (Mathematica Guide)

Built into Mathematica are state-of-the-art constrained nonlinear fitting capabilities, conveniently accessed with models given directly in symbolic form. Mathematica also ...

AiryBiPrime (Built-in Mathematica Symbol)

AiryBiPrime[z] gives the derivative of the Airy function Bi^\[Prime] (z).

EvaluationMonitor (Built-in Mathematica Symbol)

EvaluationMonitor is an option for various numerical computation and plotting functions that gives an expression to evaluate whenever functions derived from the input are ...

InterpolatingPolynomial (Built-in Mathematica Symbol)

InterpolatingPolynomial[{f_1, f_2, ...}, x] constructs an interpolating polynomial in x which reproduces the function values f_i at successive integer values 1, 2, ... of x. ...

WeierstrassP (Built-in Mathematica Symbol)

WeierstrassP[u, {g_2, g_3}] gives the Weierstrass elliptic function \[WeierstrassP](u; g_2, g_3).

SmoothDensityHistogram (Built-in Mathematica Symbol)

SmoothDensityHistogram[{{x_1, y_1}, {x_2, y_2}, ...}] plots a smooth kernel histogram of the values {x_i, y_i}.SmoothDensityHistogram[{{x_1, y_1}, {x_2, y_2}, ...}, espec] ...

Glaisher (Built-in Mathematica Symbol)

Glaisher is Glaisher's constant with numerical value \[TildeEqual] 1.28243.