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 ?
If z = 0, there is a double root with real part -[a.sub.1]/2.
It follows that a real zero of p will be a real double root of q since the reals commute with all algebra elements.
Greatest incidence of 42% two root canals was found by Rankine and Henry12 whereas Benjamin and Dowsin7 found that 40% of central incisors had double root canals.
In this case, [[phi].sub.22] is double root of (30); suppose that [[phi].sub.t] is other root of the equation, obviously [[phi].sub.t] < [[phi].sub.22], and we have a solitary wave solution of peak type of (7) as follows:
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).
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.
Note that the double root occurs at the confluence of four curves (one is a straight line along the y-axis, and is not very discernible in the given graph, Figure 6).
Seeds are treated with DeltAg Wildlife Grow Coat to hasten growth and double root mass.
Two to 3-yr-old plants had a double root system with extensive, diffuse roots originating from the taproot and numerous adventitious roots emanating from the stoloniferous stems.
Professor Chilton takes his start from Hans Lietzmann's suggestion that the Eucharist had a double root, in Jesus' fellowship meals (the breaking of bread) and in hellenistic practice derived from Paul that linked the meal with Jesus' death.
1) Let [m.sub.1] = [m.sub.2] = m, that is, the characteristic equation has a double root. In this case, the discriminant of the characteristic equation is zero.