We study a class of interacting particle systems with asymmetric interaction showing self-duality property. The includes the ASEP(q,θ), exclusion process, repulsive interaction, allowing up to θ∈N particles in each site, and ASIP(q,θ), θ∈R+, inclusion that is its attractive counterpart. extend setting investigation orthogonal duality properties done [8] for symmetric processes. analysis leads m...

Based on 18 years of satellite altimetry data and temperature/salinity (θ/S) profiles from Argo floats, we analyze the isopycnal θ/S anomalies (θ'/S') within newborn eddies in tropical Atlantic Ocean (TAO). Our results show that density-coordinates, both anticyclonic (AEs) cyclonic (CEs) can exhibit positive, negative, or nonsignificant θ'/S'. Almost half sampled do not have significant θ'/S' a...

Abstract The aim of this paper is to introduce some new separation axioms based on the idea defining kinds open sets, namely semi- θ -open sets. We study there basic properties and also implications these among themselves with known T 2 ,T 1 0 are obtained.

In this paper we generalize the notion of cyclicity of codes, that is, θ-polycyclic codes and θ-sequential codes. It is shown that for a code C, C is θ-polycyclic (θ-sequential) if and only if its dual C⊥ is θ−1-sequential (θ−1-polycyclic). Furthermore, we study central θ-constacyclic codes. Mathematics Subject Classification: Primary 94B60; Secondary 94B15, 16W20

Suppose that θ is irrational. Then almost all elements ν∈Z[θ] may be written as a k-fold product of the shifted integers n+θ (n∈N) are thus represented essentially uniquely.