We give an explicit subword complex description of the generators type cone g-vector fan a finite cluster algebra with acyclic initial seed. This yields in particular Newton polytopes F-polynomials terms complexes as conjectured by S. Brodsky and third author. then show that is combinatorially isomorphic to totally positive part tropicalization variety D. Speyer L. Williams.

This study reports experimental and Computational Fluid Dynamics (CFD) investigations of the laminar convective heat transfer coefficient of Al2O3/water nanofluids in a circular tube under uniform and constant heat flux on the wall. Three different models including a constant physical properties single-phase (CP-SP) model, a variable physical properties single-phase (VP-SP) model and a discrete...

This work is devoted to the construction of explicit feedback control laws for the robust, global, exponential stabilization of general, uncertain, discrete-time, acyclic traffic networks. We consider discrete-time, uncertain network models which satisfy very weak assumptions. The construction of the controllers and the rigorous proof of the robust, global, exponential stability for the closed-...

This paper considers estimating parameters in the discrete distributions of order k such as the binomial, the geometric, the Poisson and the logarithmic series distributions of order k. It is discussed how to calculate maximum likelihood estimates of parameters of the distributions based on independent observations. Further, asymptotic properties of estimators by the method of moments are inves...

The search for discrete quantum phase-space quasiprobability distribution functions is a subject of continuous and growing interest in the literature [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 26, 27]. The possibility of representing quantum systems characterized by a finite-dimensional state space by such discrete quasidistributions lays the ground for interesting developments and fruitful applicatio...

In this note I describe how to capture the kinematics of quantum causal evolution using a logic called BV developed by the Calculus of Structures group at Dresden. The setting is discrete quantum mechanics. We imagine a finite “web” of spacetime points. The points are events in spacetime. They are viewed as verhtees in a directed acyclic graph (DAG); the edges of the DAG represent causal links ...

We derive useful distributional representations for three discrete laws: the discrete stable distribution of Steutel and Van Ham, the discrete Linnik distribution introduced by Pakes, and a distribution of Sibuya. These representations may be used to obtain simple uniformly fast random variate generators. AMS 1991 Subject Classifications: 65C10, 68505.

We present a general result giving us families of incomplete and boundedly complete families of discrete distributions. For such families, the classes of unbiased estimators of zero with finite variance and of parametric functions which will have uniformly minimum variance unbiased estimators with finite variance are explicitly characterized. The general result allows us to construct a large nu...