double root

double root

[¦dəb·əl ′rüt]
(mathematics)
For an algebraic equation, a number a such that the equation can be written in the form (x-a)2 p (x) = 0 where p (x) is a polynomial of which a is not a root.
References in periodicals archive ?
We say that the subword complex SC(Q, [rho]) has a double root if there is a facet I [member of] SC(Q, [rho]) and two distinct positions i [not equal to] j [member of] [m] both flippable in I such that r(I, i) = r(I, j).
1 The subword complex SC(Q, [rho]) is double root free if and only if its increasing flip graph G (Q, p) coincides with the Hasse diagram of its increasing flip poset [GAMMA] (Q, [rho]).
Intervals in the increasing flip graph of a double root free subword complex have the following property.
2 Let I and J be two facets of a double root free subword complex SC (Q, [rho]).
Nevertheless, the "Judeo-Islamic" tradition remained strong, with the works of Maimonides and the commentaries on Aristotle by the Muslim Averroes forming the double root of almost all late medieval Jewish thought.
Seeds are treated with DeltAg Wildlife Grow Coat to hasten growth and double root mass.
The comeback was put on hold last week after Allison had sinus problems and a double root canal.
2] = m, that is, the characteristic equation has a double root.
i] appearing in a positive root [alpha] will be called a double root of [alpha].
If [alpha] has double roots, then {[alpha], [beta]} is an antichain if and only if j < j' and the number of double roots in [alpha] is greater than the number of double roots in [beta].
Definition 1 Given two positive roots [alpha] and [beta], with [beta] having no double roots, and such that the intersection of their supports is nonempty, define their union [alpha] [union] [beta] and their intersection [alpha] [intersection] [beta] as the positive roots with supports
If moreover a has double roots, then define also their d-intersection [alpha] [[intersection].