A phase-type distribution is the distribution of hitting time in a finite-state Markov chain. A phase-type distribution is triangular if there exist an upper triangular markovian representation. We introduce in this paper an extension of the triangular phase-type distributions, which we call monocyclic distributions. They are convolutions of Erlang and feedback Erlang distributions. We will sho...

In Poisson geometry, the groups SU p, q andAN the upper-triangular subgroup of SL n, with real positive diagonal entries are naturally dual to each other 1 . Therefore, it is important to know the geometry of the orbits of the dressing action. We show that the right dressing action of SU p, q is globally defined on the open subset of the so-called admissible elements of AN see Section 2 . We al...

We introduce a new algorithm to convert triangular meshes of polygonal regions, with or without holes, into strictly convex quadrilateral meshes of small bounded size. Our algorithm includes all vertices of the triangular mesh in the quadrilateral mesh, but may add extra vertices (called Steiner points). We show that if the input triangular mesh has t triangles, our algorithm produces a mesh wi...

We prove that two dual operator algebras are weak Morita equivalent in the sense of [4] if and only if they have equivalent categories of dual operator modules via completely contractive functors which are also weakcontinuous on appropriate morphism spaces. Moreover, in a fashion similar to the operator algebra case we can characterize such functors as the module normal Haagerup tensor product ...

The design, simulation and performance enhancement of a new structure for X-band high-power, low-loss, low-bias, triangularferrite waveguide circulator are presented. Dual circulation property is obtained by triangular shape of ferrite post. The effects of circulator’s structure parameters, such as ferrite parameters and magnetic DC bias, on isolation, insertion loss and return loss of circulat...

Let U − q (g) be the negative part of the quantized universal enveloping algebra constructed from a Cartan matrix associated to a complex semisimple Lie algebra g. Let λ be a dominant integral weight and V (λ) the irreducible U − q (g)-module with highest weight λ. There is on the one hand the canonical basis for U − q (g) [4, 12, 13] and on the other the standard monomial theoretic basis for t...

‎let $mathcal a$ and $mathcal b$ be unital rings‎, ‎and $mathcal m$‎ ‎be an $(mathcal a‎, ‎mathcal b)$-bimodule‎, ‎which is faithful as a‎ ‎left $mathcal a$-module and also as a right $mathcal b$-module‎. ‎let ${mathcal u}=mbox{rm tri}(mathcal a‎, ‎mathcal m‎, ‎mathcal‎ ‎b)$ be the triangular ring and ${mathcal z}({mathcal u})$ its‎ ‎center‎. ‎assume that $f:{mathcal u}rightarrow{mathcal u}$ is...

The objective of this study is to investigate the fuzzy subhypernear-modules over hypernear-ring by using a triangular norm, which T-fuzzy are generalization submodules hyper near-modules, and some related properties discussed. Idempotent subhypernear-module hypernear-module suggested. relation between level subset presented. Also, image inverse under mapping introduced. direct product i...