Aleph null
Aleph null () is the infinite quantity with the least magnitude. It generally is regarded as a constant of ring theory.
Derivation
can be expressed as the number of terms in any arithmetic sequence, geometric sequence, or harmonic sequence. It is less than, for example, aleph 1 (), which is the second smallest infinite quantity.
Properties
has several properties:
- for any constant .
- for any constant . (this is debatable with negative numbers)
- for any constant . (this is debatable with negative numbers)