Classification of Differential Equations (Mathematica Tutorial)

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

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 ...

Symbolic Evaluation (Mathematica Tutorial)

The functions FindMinimum, FindMaximum, and FindRoot have the HoldAll attribute and so have special semantics for evaluation of their arguments. First, the variables are ...

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 ...

SQLColumn (DatabaseLink Symbol)

SQLColumn[...] represents a column in an SQL table.

Numerical Nonlinear Local Optimization (Mathematica Tutorial)

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

Exists (Built-in Mathematica Symbol)

Exists[x, expr] represents the statement that there exists a value of x for which expr is True. Exists[x, cond, expr] states that there exists an x satisfying the condition ...

Graph Utilities Package (Graph Utilities Package Tutorial)

The Graph Utilities Package contains a number of functions useful for graph theory applications. Functions in the Graph Utilities Package. This loads the package.

The Structure of Graphics (Mathematica Tutorial)

"Graphics and Sound" discusses how to use functions like Plot and ListPlot to plot graphs of functions and data. This tutorial discusses how Mathematica represents such ...

Introduction to Step Control (Mathematica Tutorial)

Even with "Newton methods" where the local model is based on the actual Hessian, unless you are close to a root or minimum, the model step may not bring you any closer to the ...