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Because of the coupled nature of these bogies, a pair of complex conjugate roots exists in the linearized system close to the origin in addition to the most dominant pair of roots at the hunting speed.
Transactions of the Institution of Chemical Engineers 41, 13 21] for the one-dimensional model, and the other due to a second pair of roots to the characteristic equation of the linearized two-dimensional model.
Such pair of roots exists and it is unique since the function is convex,,, and According to (3.5), there exist such that,, and for, which means that for Then, we have (36).
The necessary condition for a change in stability of the interior equilibrium point (E^ ) is that equation (23) should have purely imaginary roots, that is, stability switches for increasing τ in (I=[0,tau^)) may occur only with a pair of roots (lambda=pm iomega tau)). Let (tau=hat{tau}) be the particular magnitude of τ for which (mu(hat{tau})=0 ) and (omega(hat{tau })=hat{omega} ).
A pair of roots from China's Shandong province.
The roots of MACN Pv-RN 174 are preserved; at the front and back of the tooth, there is a pair of roots, which are fused near their bases.
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The woman in "Embryonic" is curled into a fetal position and compressed against the picture plane; she clutches a pair of root vegetables as if they were weapons that will help her break out of her confinement.
Each pair of root nodes must calculate the interregion key between them using the ECDH agreement.
All reflections in W correspond to suitable pairs of roots.
However, plots of the positions of A. thaliana root apices as they grew over the agar surface showed that not only did roots cross over each other but that pairs of roots also formed temporary associations (Fig. 6): roots approached (or were attracted to) one another, made contact, grew together and then diverged.
Also, lateral roots of one of the pair of primary roots often appeared to associate with the primary root of the other member of the pair.
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