The total system then undergoes the following evolution: 1.
Schurz (2001b) defends the statistical consequence thesis by the following evolution theoretic argument.
Consider the extremal problem of the following evolution inclusion: x ˙ + A ( t, x ) + B x ∈ ext F ( t, x ) a.e.
Let I = [ 0, T ], consider the following evolution inclusions: x ˙ + A ( t, x ) + B x ∈ F ( t, x ), a.e.
Our results show that the massive object in the center of the cluster alters the surrounding star distribution very quickly; the following evolution is much slower, as it occurs via two-body collisional relaxation.
Consider the following evolution equation: begin{aligned} textstylebegin{cases} w_{t}=Delta w-gamma w+alpha u+beta v, & (x,t in Omegatimes 0,T),frac{partial w}{partial n}=0, & (x,t in partialOmegatimes 0,T), w x,0)=w_{0}(x), &xinOmega.
For every (ngeq1), consider the following evolution inclusion: begin{aligned} &dot{u}(t)+Bbigl t,u(t bigr)+Du(t)inmathcal{F}_{n}bigl t, u(t bigr), quad mbox{a.e. for }tin I, &u(0)=tau u).
To solve this task we used the following evolution model, which is a version of the evolution model used in our previous paper [ 18].
Let I be in the image intensity, u be the implicit representation of the evolving surface, g be the image gradient, then the initial segmentation of the nuclear regions are estimated by solving the following evolution equation where (Caselles et al., 1997).
Absence of the highly specific E. multilocularis 16-18 kDa band at Western Blot on the serum sampled in 1987, a few months before the first treatment withdrawal, was compatible with the negative ELISA results at that time, and thus with "inactive" lesions; however, "inactivity" was only temporary, as the following evolution well demonstrated.
