The same methodology can be applied to engineering new labs solvers that may return merit factors even closer to the conjectured asymptotic value of 12.3248.
Ovchinnikov and Sigal [13] have computed it in few cases and conjectured its value to be an integer multiple of π4.
MacGregor [13] conjectured the exact value given by (3.28).
Based on the trained model, we are able to conjecture the values of all variables from future time-slices, including of course the probability of reoccurrence, by using the junction tree algorithm for inferencing from the DBN.
Notice the closeness of these values for κ min to the κ values already conjectured during the previous discussion of the bottom panel of Fig. 1.
By the way, for the following reaction diffusion equation begin{aligned} frac{partial v}{partial t}=operatorname{div} bigl(a v,x,t nabla v bigr) +operatorname{div} bigl(b v) bigr),quad (x,t in Omegatimes 0,T), end{aligned} (1.24) with begin{aligned} a v,x,t)|_{xinpartialOmega}=0, end{aligned} (1.25) we had conjectured that a partial boundary value condition should be imposed.
By the aid of Fichera Oleinik theory, we conjectured that the partial boundary value condition (1.5) should be u x,t)=0,qquad (x,t inSigma_{1}times 0,T),qquad Sigma_{1}=bigl{ xinpartial Omega: b_{i}(0)n_{i}< 0 bigr}, (1.10) where (vec{n}={n_{i}}) is the inner normal vector of Ω, and proved the following theorem.. Suppose that (A s)) is (C^{2}) and (b_{i}(s,x,t equiv b_{i}(s)) is (C^{1}).
To verify the conjecture, the value of WIE from a real SAR image in its uniform area, area including the ups and downs, and area which contains the target is tested.
Based on empirical results, they conjectured that the phase transition occurs around the value z= z0.
