Sentence examples for multiple roots are from inspiring English sources

Multiple roots are randomly determined to construct multiple subtrees.

The multiple roots are then deflated into simple ones and then determined by conventional root-finding methods.

During these calculations, the retarded time equation is also carefully examined, in particular, for the cases where a control surface is located outside the sonic cylinder, for which multiple roots are obtained.

Based on the general solutions for transversely isotropic magneto-electro-elastic materials, the fundamental solutions of axi-symmetric problems are derived by integration and explicit expressions for four possible cases of distinct characteristic roots and multiple roots are all presented.

Since the multiple genes of roots are found to have spatial and temporal differences in their expression and function, the search for the trait differences, genes and their function need to be expanded with large set of mutant resources (Wei et al. [2013] for a review).

The dura was then slit open along the length of the exposed spine, and multiple dorsal roots were carefully isolated for electrical stimulation.

If multiple real roots were found, we determined, the maximum likelihood estimate of D, by comparing their corresponding likelihood values.

When multiple real roots were found, we selected the one that was within the corresponding theoretical bounds (0 <  q < 1 and/or max{- pq, - 1- p)(1- q)} ≤ D ≤ min{ p 1- q), (1- p) q}) and also resulted in the highest value of the likelihood.

An automated fluorescence microscopy system which enables multiple roots to be imaged in rapid succession was used to quantitate Hsp17.6p GFP response dynamics.

All but the terminal shoots are removed to prevent later formation of multiple crowns, and the side roots are also rubbed off to minimize branching and crooked formation.

If the GCD has degree greater than one, then you have found a factor whose roots are the multiple roots of the original polynomial.