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In the language of algebraic theories (i.e., finitary monads on Set ) the above Theorem together with Remark 6.21 tell us that the rational monad is an iterative algebraic theory
The original application of the slope filtration theorem was to the p -adic local monodromy theorem on quasi-unipotence of p -adic differential equations with Frobenius structure over
In this paper we consider the so-called geometrical theory of statistical models and we present a geometrical model of homogeneous continuous-time Markov chains (namely
These numbers are also called the Bernoulli numbers of the second kind, and are represented by sequences A006232 and A006233 in Sloane’s Encyclopedia.. The Cauchy numbers play
In this note we use only elementary properties of the McShane integral for vector-valued functions to establish an interesting convergence theorem for the vector-valued McShane
Using a particular locally convex space and Schaefer’s theorem, a generalization of Krasnoselskii’s fixed point Theorem is proved. This result is further applied to certain
In Section 4 we obtain the asymptotic velocity of a second class particle for the zero-range process in a non-homogeneous environment and use this result to prove the main
In this paper we consider a transient wave which propagates in a viscoelastic homogeneous isotropic medium described by the Maxwell model or by the Maxwell–Kelvin model and