K-synchronized sequence - определение. Что такое K-synchronized sequence
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Что (кто) такое K-synchronized sequence - определение


K-synchronized sequence         
In mathematics and theoretical computer science, a k-synchronized sequence is an infinite sequence of terms s(n) characterized by a finite automaton taking as input two strings m and n, each expressed in some fixed base k, and accepting if m = s(n). The class of k-synchronized sequences lies between the classes of k-automatic sequences and k-regular sequences.
Automatic sequence         
  • DFAO generating the Thue–Morse 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)         
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  • Image of the ascending 5-6 sequence in music
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  • Bach Air from Suite 3
  • Bars 3-4 from J.S.Bach, the "Air" from the Suite 3 in D BWV 1068
  • Bach Concerto for Two Violins in D minor first movement bars 22-24
  • Cello Suite]] in G, BWV 1007
  • Cello Suite]] in G
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  • Play}}
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  • Concerto for Two Violins]] in D minor, first movement, bars 22-24
  • Mozart Minuet in F K5
  • Mozart]] Minuet in F K6
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  • Play}}
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  • Opening bars of "[[The Star-Spangled Banner]]"
  • The opening bars of "The Star-Spangled Banner"
  • From "The Star-Spangled Banner"
  • From "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.