1a) General: The way in which several items are arranged, as an indication
of their relative importance or size or when each will be dealt with.
1b) Optics: → order of interference.
1c) Math.: The number of rows or columns of a
→ square matrix
or → determinant.
1d) Math.: The highest → derivative appearing
in a given → differential equation. For example,
d2y/dx2 + 2y (dy/dx) - 3 = 0
is a differential equation of order two.
- To arrange, regulate, or dispose things in their proper places.
See also:
→ disorder,
→ first-order differential equation,
→ first-order partial derivative,
→ first-order spectrum,
→ interference order,
→ order of a tensor,
→ order of interference,
→ order of magnitude.
Etymology (EN): From O.Fr. ordre, from earlier ordene, from L. ordinem
(nominative ordo) “row, rank, arrangement.”
Etymology (PE): Râyé, noun related to râyânidan “to regulate, set in order,”
from Mid.Pers. râyânīdan “to arrange, organize,”
from rây-
(Mod.Pers. ârây-, ârâyeš, ârâyidan “to arrange, adorn”),
ârây-, ârâstan “to arrange, adorn;”
O.Pers. rād- “to prepare,” rās-
“to be right, straight, true,” rāsta- “straight, true” (Mod.Pers. râst
“straight, true”); Av. rāz- “to direct, put in line, set,” razan-
“order;” Gk. oregein “to stretch out;”
L. regere “to lead straight, guide, rule,” p.p. rectus “right, straight;”
Skt. rji- “to make straight or right, arrange, decorate;”
PIE base *reg- “move in a straight line;” see also → direct.