Glossary

1. Cloud [computing]: See Wikipedia entry.
2. [Computer] cluster: See Wikipedia entry.
3. Color Map: A function m from the integers to the Color class. This is used to translate the iteration count to a color for the purpose of visualizing the Mandelbrot Set, especially points in the neighborhood of the set boundary.
4. GPU (Graphics Processing Unit): See Wikipedia entry.
5. Image resolution: See Wikipedia entry.
6. Iteration count: In the definition of iteration limit, the recurrence index, n, is the iteration count.
7. Iteration limit: To determine if a point, c in the complex plane is in the Mandelbrot Set, we compute a recurrence,

   z_n = z_{n - 1} * z_{n - 1} + c,

   where z₀ = 0, until either the size of z_n exceeds some threshold (e.g., 2), in which case the point is not in the Mandelbrot Set, or n exceeds some value, called the iteration limit, in which case we presume that c is in the Mandelbrot Set.
8. JPEG: See Wikipedia entry.
9. Lossless data compression: See Wikipedia entry.
10. Mandelbrot Set: See Wikipedia entry.
11. PNG (Portable Network Graphics): See Wikipedia entry.
12. Spline: See Wikipedia entry.