simple root


Also found in: Dictionary, Thesaurus, Medical.

simple root

(mathematics)
A polynomial ƒ(x) has c as a simple root if (x - c) is a factor but (x - c)2 is not.
References in periodicals archive ?
Assume [Florin], [Florin]' and [Florin]" are continuous on an interval [a, b] containing the simple root a.
greater than or equal to]-1] such that all negative simple roots are pairwise compatible and for [alpha] [member of] S and [beta] [member of] [[PHI].
Here, the Bourbaki conventions [4] are used for the labels of the simple roots.
Assume that the function f : I [subset] R [right arrow] R for an open interval I has a simple root [alpha] [member of] I.
The vectors in [DELTA] are called simple roots, and the vectors in [PHI] are called roots.
1 Assume that f: D [subset] R [right arrow] R for an open interval D has a simple root r [member of] D.
Therefore the expression of the new iterative fifth-order method for determining the simple root of (1) is given as
Recall that there is a standard partial order on [LAMBDA] called the root order defined to be the transitive closure of the relations [mu] < [omega] for all weights [mu] and [omega] such that [omega] - [mu] is a simple root.
Start by assuming that none of the positive roots in a have the simple root [r.
Its important role moves beyond its simple roots to that of influencer for other colors.
He is known as one of the most down-to-earth denizens of local tinseltown, probably owing to his simple roots as a hometown boy who made it big.
In my opinion, as the camping industry grew and competition became brisk, many of these camps moved away from their simple roots and developed into facilities that resembled resorts.