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What (who) is K-sorted sequence - definition
K-sorted sequence
In computer science, a nearly-sorted sequence, also known as roughly-sorted sequence and as k-sorted sequence is a sequence which is almost ordered. By almost ordered, it is meant that no element of the sequence is very far away from where it would be if the sequence were perfectly ordered.
Automatic sequence
AN INFINITE SEQUENCE OF TERMS CHARACTERIZED BY A FINITE AUTOMATON
Automatic set; Automatic real number; Period-doubling sequence; Cobham–Semenov theorem; K-automatic sequence; Cobham-Semenov theorem; Automatic sequences
In mathematics and theoretical computer science, an automatic sequence (also called a k-automatic sequence or a k-recognizable sequence when one wants to indicate that the base of the numerals used is k) is an infinite sequence of terms characterized by a finite automaton. The n-th term of an automatic sequence a(n) is a mapping of the final state reached in a finite automaton accepting the digits of the number n in some fixed base k.
Sequence (music)
![Cello Suite]] in G, BWV 1007](https://commons.wikimedia.org/wiki/Special:FilePath/Bach Prelude from Cello Suite in G.png?width=200 "Cello Suite]] in G, BWV 1007")
![Concerto for Two Violins]] in D minor, first movement, bars 22-24](https://commons.wikimedia.org/wiki/Special:FilePath/J.S. Bach Concerto for Two Violins in D minor, first movement, bars 22-24.png?width=200 "Concerto for Two Violins]] in D minor, first movement, bars 22-24")
![Mozart]] Minuet in F K6](https://commons.wikimedia.org/wiki/Special:FilePath/Mozart Minuet in F K6.png?width=200 "Mozart]] Minuet in F K6")
![Opening bars of "[[The Star-Spangled Banner]]"](https://commons.wikimedia.org/wiki/Special:FilePath/Star-spagled Banner opening bars.png?width=200 "Opening bars of \"[[The Star-Spangled Banner]]\"")
IMMEDIATE RESTATEMENT OF A MOTIF AT A HIGHER OR LOWER PITCH IN THE SAME VOICE
Modulating sequence; Real sequence; Tonal sequence; Modified sequence; False sequence; Descending fifths sequence; Rhythmic sequence
. Note that there are only four segments, continuingly higher, and that the segments continue by similar distance (seconds: C-D, D-E, etc.
