Common Contexts

The main pre-defined contexts are the following:

• Numeric: no points, vectors, matrices, complex numbers, or intervals are allowed.
• Complex: no points, vectors, matrices, or intervals are allowed.
• Point: Nearly the same as the Vector Context below, but the angle bracket and ijk notation is not allowed, and vector operations on points are not defined.
• Vector: i, j, and k are defined as coordinate unit vectors, and vector cross and dot produces are allowed. No complex numbers, matrices, or intervals are allowed.
• Vector2D: same as Vector above, but i and j are defined as coordinate unit vectors in [math]{\bf R}^2[/math], and k is not defined.
• Matrix: same as Vector above, but square brackets define matrices instead of points or intervals.
• Interval: similar to Numeric context, but (a,b), (a,b], [a,b), and [a,b] create real Intervals rather than lists or errors. Finite sets of reals are created using {a,b,c} (with as many or as few numbers are needed).
• Full: For internal use. This context is used to seed the others.
  • pi is defined
  • i is square root of minus one, but j and k are unit Vectors
  • Matrix, Vector, Point, Intervals, and Complex are all defined
  • x is a variable