Let A be a local commutative principal ideal ring. We study the double coset space of GLn(A) with respect to the subgroup of upper triangular matrices. Geometrically, these cosets describe the relative position of two full flags of free primitive submodules of A. We introduce some invariants of the double cosets. If k is the length of the ring, we determine for which of the pairs (n, k) the dou...

In a previous paper [9], some classes of triangular matrix transformations between the series spaces summable by absolute weighted summability methods were characterized. present paper, we extend these to four dimensional matrices and double methods.

There is no epidemiological study that exists in the UK for non-venomous snakebites. People most likely to be bitten by snakes live in rural areas in Africa, Asia and Latin America, and work mostly in agriculture. It is however a very unusual injury in Europe. We present the case of a patient who sustained a bite from a non-venomous snake, identified as a Boa constrictor, on her right hand with...

In July 1864, when at Googaira, I occupied a house about 40 yards from the Post Office, where the bullock train carts used to change bullocks. One evening, while sitting out of doors after dark, I heard the cart arrive, and the sound of the pole of the cart striking the ground, and almost at the same time a man cried out that he was bitten by a snake. I, and the friend I lived with, ran over to...

in this paper, some elementary operations on triangular fuzzynumbers (tfns) are defined. we also define some operations on triangularfuzzy matrices (tfms) such as trace and triangular fuzzy determinant(tfd). using elementary operations, some important properties of tfms arepresented. the concept of adjoints on tfm is discussed and some of theirproperties are. some special types of tfms (e.g. pu...

AIMS To assess the efficacy of buprenorphine compared with methadone maintenance therapy for opioid dependence in a large sample using a flexible dosing regime and the marketed buprenorphine tablet. DESIGN Patients were randomized to receive buprenorphine or methadone over a 13-week treatment period in a double-blind, double-dummy trial. SETTING Three methadone clinics in Australia. PARTI...

The exotic quantum double and its universal R-matrix for quantum Yang-Baxter equation are constructed in terms of Drinfeld’s quantum double theory.As a new quasi-triangular Hopf algebra, it is much different from those standard quantum doubles that are the q-deformations for Lie algebras or Lie superalgebras. By studying its representation theory,many-parameter representations of the exotic qua...

The structure of the double mutant K53,56M has previously been refined at 1.9 A resolution using room-temperature data. The present paper reports the crystal structure of the same mutant K53,56M refined against 1.1 A data collected using synchrotron radiation. A total of 116 main-chain atoms from 29 residues and 44 side chains are modelled in alternate conformations. Most of the interfacial bin...

We introduce and study the triple of a quasitriangular Lie bialgebra as a natural extension of the Drinfeld double. The triple is itself a quasitriangular Lie bialgebra. We prove several results about the algebraic structure of the triple, analogous to known results for the double. Among them, we prove that in the factorisable case the triple is isomorphic to a twisting of g ⊕ g ⊕ g by a certai...

Dendrotoxin proteins isolated from Mamba snake venom block potassium channels with a high degree of specificity and selectivity. Using site-directed mutagenesis we have identified residues that constitute the functional interaction surfaces of delta-dendrotoxin and its voltage-gated potassium channel receptor. delta-Dendrotoxin uses a triangular patch formed by seven side-chains (Lys3, Tyr4, Ly...