Sequence
In mathematics, a sequence is a list of terms, written:
- x0, x1, x2, ...
The terms are all members of some set S; thus the above sequence is a sequence in S. For example, the following is a sequence of integers:
- 1, 2, 3, 4
A sequence may have a finite or infinite number of terms; thus, it is called either finite or infinite. Obviously, it is impossible to give all the terms of an infinite sequence. Infinite sequences are given by listing the first few terms, followed by an ellipsis.
Formally, a sequence can be defined as a function from N (the set of natural numbers) into some set S.
If S is the set of integers, then the sequence is an integer sequence.
If S is endowed with a topology then it is possible to talk about convergence of the sequence. This is discussed in detail in the article about limits.
For a given sequence the corresponding sequence of partial sums is called an infinite series.
E.g.: 1 + 1/2 + 1/4 + ... is a convergent series, meaning that the sequence 1, 1 + 1/2, 1 + 1/2 + 1/4, ... is convergent.
A subsequence is a sequence with some of its members omitted.
In biochemistry, a biopolymer's sequence is synonymous with its primary structure: the list of basic building blocks constituting the polymer. Determining such a sequence is called sequencing.
In mediæval Latin literature, a sequence (Latin sequentia) is a poem written in a non-classical metre that uses rhyme and an accentual (stress based) rather than quantititive (vowel length based) verse form.
See, for example: Pange Lingua; Dies Iræ
In music, a sequence is a passage which is successively repeated at different pitches.
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mines les deux? -- C'est dit. -- Entrez la
Etranger, ne va pas plus loin dans la ville.
filles plus jeunes ni plus expertes. Je suis
comme l'eau dans l'herbe. Tu n'en veux pas?
violette, et une chevelure de trois coudees.
J'ai/ai.html">ai mieux encore. Xantho, ouvre ta/ta.html">ta cyclas.
touche-les. Et son beau ventre, tu le voie,
d'age a aimer encore, mais qui la seconde
race noble. Phyllis et Xantho, suivez le
Elles dansaient l'une devant l'autre, d'un
toujours vouloir s'enlacer, et pourtant ne se
levres.
Quand elles tournaient le dos en dansant,
et la sueur brillait sous leurs bras leves,
leurs seins.
La langueur de leurs yeux, le feu de leurs
trois chansons ardentes. Elles se frolaient
les hanches.
Et tout a coup, elles sont tombees, pour
de Mnasidika, c'est alors que tu m'apparus,
Ne crois pas, Myromeris, que, d'avoir ete
ton corps sous la robe a noye ses formes
sur ta poitrine, et dont la queue coupee
plus doux defaille sous la main.
Et maintenant considere la toute petite enfant
soir dans les bras d'un passant dont tu ne
un jour d'une ligne de fard noir, et ils
d'un mouvement de leurs cils.
150 -- L'INCONNU
horreur. Pourtant sa bourse est pleine d'or
entrant. J'espere une mine pour moi-meme.
Mais j'ai dit a la Phrygienne d'entrer au lit
moi. Je serais plutot morte dans les
homme.
Helas! je songe aux prairies de Tauros...
la poitrine legere, et j'etais si folle
.
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