Putting Expressions into Different Forms (Mathematica Tutorial)

Complicated algebraic expressions can usually be written in many different ways. Mathematica provides a variety of functions for converting expressions from one form to ...

Locale & Internationalization (Mathematica Guide)

Using Assumptions (Mathematica Tutorial)

Mathematica normally makes as few assumptions as possible about the objects you ask it to manipulate. This means that the results it gives are as general as possible. But ...

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 ...

Making Power Series Expansions (Mathematica Tutorial)

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

Remove (Built-in Mathematica Symbol)

Remove[symbol_1, ...] removes symbols completely, so that their names are no longer recognized by Mathematica. Remove["form_1", "form_2", ...] removes all symbols whose names ...

FractionLine (Built-in Mathematica Symbol)

FractionLine is an option for fractions that specifies the thickness of the line separating the numerator and denominator.

Overview of Higher-Order ODEs (Mathematica Tutorial)

The general form of an ODE with order n is As in the case of second-order ODEs, such an ODE can be classified as linear or nonlinear. The general form of a linear ODE of ...

Matrix-Based Minimization (Mathematica Guide)

AugmentedSymmetricPolynomial (Built-in Mathematica Symbol)

AugmentedSymmetricPolynomial[{r_1, r_2, ...}] represents a formal augmented symmetric polynomial with exponents r_1, r_2, ....AugmentedSymmetricPolynomial[{{r_11, ..., r 1 ...