We address the following problem from the intersection of dynamical systems and stochastic analysis: Two SDE dxt = P m j=0 fj (xt) dW j t and dxt = P m j=0 gj(xt)dW j t in R d with smooth coeecients satisfying fj (0) = gj(0) = 0 are said to be smoothly equivalent if there is a smooth random diieomorphism (coordinate transformation) h(!) with h(!; 0) = 0 and Dh(!; 0) = id which conjugates the co...

We show that a rational normal scroll can in general be set-theoretically defined by a proper subset of the 2-minors of the associated two-row matrix. This allows us to find a class of rational normal scrolls that are almost settheoretic complete intersections.

Very recently, the second author showed that the question whether an equation over a trace monoid has a solution or not is decid-able 11,12]. In the original proof this question is reduced to the solv-ability of word equations with constraints, by induction on the size of the commutation relation. In the present paper we give another proof of this result using lexicographical normal forms. Our ...

The effective parameters on Ohmic heating in static system containing biosolid-water were studied. The effects of distribution of particles, salinity and electric field strength on electrical conductivity,</e...