sequence پیآیه، رشته peyâyé, rešté Fr.: 1) suite, séquence; 2) suite General:
The following of one thing after another; succession;
something that follows; connected line of events, ideas, etc.
Math.: A set of quantities that are ordered in some way,
such as a1, a2, a3, ….
A sequence is said to be known if a formula can be given for any particular term
using the preceding terms or using its position in the sequence.
Special types of sequences are commonly called → progressions.
The terms of a sequence, when written as an indicated sum, form a
→ series.
Etymology (EN): M.E., from O.Fr. sequence “answering verses,” from M.L. sequentia
“a following, a succession,” from L. sequentem (nominative sequens),
pr.p. of sequi “to follow;”
PIE base *sekw- “to follow;” cf. Pers. az from;
Mid.Pers. hac “from;” Av. hac-, hax- “to follow,” hacaiti “follows” (O.Pers. hacā “from;” Av. hacā “from, out of;”
Skt. sácā “with”); Skt. sácate
“accompanies, follows;” Gk. hepesthai “to follow;”
Lith. seku “to follow.” Etymology (PE): Peyâyé, literally “that follows; a subsequent event,” from pey
“after; step,” related to pâ “foot”
(Mid.Pers. pâd, pây, Av. pad-, Skt. pat,
Gk. pos, gen. podos, L. pes, gen. pedis,
P.Gmc. *fot, E. foot, Ger. Fuss, Fr. pied;
PIE *pod-/*ped-) +
ây- present stem of âmadan “to come, arrive, become” (Av. ay- “to go, to come,” aēiti “goes;”
O.Pers. aitiy “goes;”
Skt. e- “to come near,” eti “arrival;” L. ire “to go;” Goth.
iddja “went,” Lith. eiti “to go;” Rus. idti “to go”)
+-é nuance suffix. Rešté “thread, line, rope, row,” p.p. of reštan, risidan
“to spin;” Mid.Pers. rištag “rope, string, thread;”
Av. uruuaēs- “to turn around,”
uruuaēsa- “vortex in water;” cf. Skt. vréśī- “an appellation
of waters;” Gk. rhiknos “crooked;” Lith. rišti “tie, bind;”
O.H.G. rīho “knee-bend.” |