descending order
A sequence or arbitrary ordered set or one-dimensional array of numbers, , is said to be in descending order if each . For example, the aliquot sequence of 259 is in descending order: 45, 33, 15, 9, 4, 3, 1, 0, 0, 0 … The aliquot sequence starting at 60, however, is not in descending order: 108, 172, 136, 134, 70, 74, 40, 50, 43, 1, 0, 0, 0 …
In a trivial sense, the sequence of values of the sign function multiplied by -1 is in descending order: … 1, 1, 1, 0, –1, –1, –1… When each in the sequence, set or array, then it can be said to be in strictly descending order.
| Title | descending order |
|---|---|
| Canonical name | DescendingOrder |
| Date of creation | 2013-03-22 16:06:49 |
| Last modified on | 2013-03-22 16:06:49 |
| Owner | CompositeFan (12809) |
| Last modified by | CompositeFan (12809) |
| Numerical id | 5 |
| Author | CompositeFan (12809) |
| Entry type | Definition |
| Classification | msc 06A99 |
| Related topic | AscendingOrder |
| Defines | strictly descending order |