StreamDensityPlot (Built-in Mathematica Symbol)

StreamDensityPlot[{{v_x, v_y}, s}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y, superimposed on a ...

Integrate (Built-in Mathematica Symbol)

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

NIntegrate Integration Rules (Mathematica Tutorial)

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Product (Built-in Mathematica Symbol)

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

Mathematica System Setup (Mathematica Guide)

Mathematica allows convenient discovery and customization of all aspects of its system setup.

AbortProtect (Built-in Mathematica Symbol)

AbortProtect[expr] evaluates expr, saving any aborts until the evaluation is complete.

AbsoluteTiming (Built-in Mathematica Symbol)

AbsoluteTiming[expr] evaluates expr, returning a list of the absolute number of seconds in real time that have elapsed, together with the result obtained.

Extract (Built-in Mathematica Symbol)

Extract[expr, list] extracts the part of expr at the position specified by list. Extract[expr, {list_1, list_2, ...}] extracts a list of parts of expr. Extract[expr, list, h] ...

Fibonacci (Built-in Mathematica Symbol)

Fibonacci[n] gives the Fibonacci number F_n. Fibonacci[n, x] gives the Fibonacci polynomial F_n (x).

DSolve (Built-in Mathematica Symbol)

DSolve[eqn, y, x] solves a differential equation for the function y, with independent variable x. DSolve[{eqn_1, eqn_2, ...}, {y_1, y_2, ...}, x] solves a list of ...