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We obtain estimates in terms of periodic trajectories of Wong's flow which are uniform in the "charge" parameter.
Our analysis produces a priority ranking of planning units (here 4th order catchments or sub-catchments) and performance estimates in terms of expected biodiversity returns given varying degrees of geographic protection.
We establish well-posedness of the Dirichlet problem for the equation Lu= 0, with boundary data in L2, and with optimal estimates in terms of nontangential maximal functions and square functions.
What we show is that the corresponding heat-flow semigroup etLa admits a kernel which satisfies (two-sided) Gaussian estimates in terms of the control distance determined by the Xi's.
In addition, we provide explicit error estimates, in terms of a, in the case when the obstacles are locally the same (i.e. have the same capacitance, or the coefficient C is piecewise constant) in Ω and the coefficient K is Hölder continuous.
A comparison with calculated values of HOMO LUMO energies (the former corresponding to the ionization potentials Ei) shows strong correlations between calculated and experimentally obtained data; they are in close agreement with estimates in terms of electron-donating and -withdrawing effects from an empirical point of view.
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All losses were estimated in terms of 2012 US$.
Models are estimated in terms of willingness to accept.
Its convergence rate is estimated in terms of the angles.
Moth pose was then estimated in terms of either top view or side view.
Mechanical property of the alloy was estimated in terms of Vickers hardness.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com