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In order to address the dynamic behavior of model (2.5), the Poincaré map is constructed by the impulsive points on a phase set.
We derive sufficient conditions under which any trajectory initiating from a phase set will be free from impulsive effects after finite state-dependent feedback control actions, and we also prove that order-k ((kgeq3)) limit cycles do not exist, providing a solution to an open problem in the integrated pest management community.
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Ideally the exam should not be a one-time paper-and-pencil test, like legal bar exams, but a phased set of milestones to be attained over the first few years of teaching.
The accumulation levels of each sRNA belonging to a phased set were calculated for all the above sRNA HTS data sets.
Moreover, the performance is not as good as SQP, since the phase coefficients are optimized among a quantized phase set.
To minimize any bias in the electron density maps, the starting model was converted to a poly-alanine trace and all atomic B-factors were set to 20 Å2 before calculation of an initial phase set using REFMAC without refinement.
This means that the line segment (overline{P_{4}^P_{5}^) is an attractor of the phase set ({mathcal{N}}_{2}^{h}) for case (b1).
Construction would commence in 1980 on the first phase, with the bid for the second phase setting a then-record for cost for a Tuscaloosa road project at $11,884,450.
In this work we derive the fundamental equations for conditional moment closure (CMC) modelling of individual phases set in a two-phase flow.
They conceptualise successful recruitment as a process consisting of three phases: set up, alliance and exchange, where each phase is dependent on satisfactory negotiation of the other.
We also discuss other design features to maximize the information yielded in a phase II setting.
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CEO of Professional Science Editing for Scientists @ prosciediting.com