# Order

Robert P. Munafo, 2002 Apr 18.

Definition : math. The number of elements in a set.

In mu-ency I use "order" to refer:

- to how many identical or nearly identical pieces there are, when describing rotational symmetry.

- to the level ("first-order", "second-order", etc.) of something that has levels, for example second-order embedded Julia set, first order filament, second-order satellite. This is the only ordinal sense of the word "order" (see also primary, secondary, tertiary, quaternary).

- to the number of points in a limit cycle (see connectedness proof).

- in the set theory sense (for example see Continuum).

See also Aleph-0, Aleph-1, Aleph-2, Continuum and 2^{c}.

From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2023.

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