Sentence examples for paths we show from inspiring English sources

We consider stochastic delay systems dx t) = g(x(t − r)) dW t) driven by multi-dimensional Brownian motion W. The diffusion coefficient g is smooth with a possible degeneracy at 0. For a large class of deterministic initial paths we show that the solution x t) admits a smooth density with respect to Lebesgue measure.

Using this path, we show evidence that oat PBF can substitute for the function of maize PBF (ZmPBF) in OMA lines, whereas ZmPBF and maize O2 (ZmO2) do not seem to be major factors for the expression of the wheat HMW-glutenin Dx5 (group III prolamin) in transgenic maize.

(6) By devising a method for counting assembly paths, (7) we show that asymmetric cages can be assembled by larger numbers of paths, thus providing a kinetic explanation for the prevalence of asymmetric cages.

For quantitative path constraints we show that the problem of deciding the existence of a finite-memory controller is undecidable.

With a limited increase in the size of the routing tables and the use of diagonal paths, we have shown that SHAM significantly outperforms CAN.

In particular, we simulated the algorithm for the packet size-aware path setup that we show to significantly improve the overall performance with respect to the prior work.

For a clear comparison with the path of epidemic model (2), we show the path of (S t)), (I t)), (R t)) for deterministic model (1) in Figure 1.

By applying stochastic shortest path method, we showed that it is intractable to make optimal coding decisions in the presence of random packet erasures.

In path analyses we showed that higher positive attributes at baseline predicted fewer psychiatric disorders 3 years later; this direction of effect was significantly stronger than that of psychiatric disorders predicting fewer positive attributes.

In Figure 4, we show ray paths that have good Lg propagation paths (Lg/Sn > 1.5) in green and less efficient (1.0 < Lg/Sn < 1.5) propagation paths in orange.

In Figure 3d we show the paths incoming to the deceased site.