Advanced Numerical Differential ... (Mathematica Overview)

Introduction ODE Integration Methods Partial Differential Equations

Polynomial Factoring & Decomposition (Mathematica Guide)

Factoring a quadratic polynomial in one variable is straightforward. But Mathematica routinely factors degree-100 polynomials in 3 variables—by making use of a tower of ...

The Design of the NDSolve Framework (Mathematica Tutorial)

Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...

RescalingTransform (Built-in Mathematica Symbol)

RescalingTransform[{{x_min, x_max}, {y_min, y_max}, ...}, {{xp_min, xp_max}, ...}] gives a TransformationFunction that rescales the region with coordinate ranges x_min to ...

Combining Graphics (Mathematica Guide)

The symbolic character of Mathematica graphics makes it straightforward to combine together different graphics constructs, both for presentation and interactive behavior—and ...

Through (Built-in Mathematica Symbol)

Through[p[f_1, f_2][x]] gives p[f_1[x], f_2[x]]. Through[expr, h] performs the transformation wherever h occurs in the head of expr.

InverseFunction (Built-in Mathematica Symbol)

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

Checkbox (Built-in Mathematica Symbol)

Checkbox[x] represents a checkbox with setting x, displayed as CheckboxBox[True] when x is True and CheckboxBox[False] when x is False. Checkbox[Dynamic[x]] takes the setting ...

Sound (Built-in Mathematica Symbol)

Sound[primitives] represents a sound. Sound[primitives, t] specifies that the sound should have duration t.Sound[primitives, {t_min, t_max}] specifies that the sound should ...

LinearFractionalTransform (Built-in Mathematica Symbol)

LinearFractionalTransform[m] gives a TransformationFunction that represents a linear fractional transformation defined by the homogeneous matrix m. ...