Logical and Piecewise Functions (Mathematica Tutorial)

Nested logical and piecewise functions can be expanded out much like nested arithmetic functions. You can do this using LogicalExpand and PiecewiseExpand. Expanding out ...

Import and Export Animations (Mathematica How To)

After creating or editing an animation in Mathematica , you can export it for use in other programs. Mathematica can import and export animations in several formats.

Special Functions (Mathematica Tutorial)

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...

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 ...

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 ...

Introduction to Patterns (Mathematica Tutorial)

Patterns are used throughout Mathematica to represent classes of expressions. A simple example of a pattern is the expression f[x_]. This pattern represents the class of ...

Reduce::ratnz (Mathematica Message)

Reduce::ratnz

Reduce::bdomv (Mathematica Message)

Reduce::bdomv

Reduce::ifun (Mathematica Message)

Reduce::ifun System`Private`OldReduce::ifun MainSolve::ifun AlgebraicRules::ifun