A loop is automorphic if its inner mappings are automorphisms. Using socalled associated operations, we show that every commutative automorphic loop of odd prime power order is centrally nilpotent. Starting with suitable elements of an anisotropic plane in the vector space of 2 × 2 matrices over the field of prime order p, we construct a family of automorphic loops of order p with trivial center.

A commutative loop is Jordan if it satisfies the identity x2(yx) = (x2y)x. Using an amalgam construction and its generalizations, we prove that a nonassociative Jordan loop of order n exists if and only if n ≥ 6 and n 6= 9. We also consider whether powers of elements in Jordan loops are well-defined, and we construct an infinite family of finite simple nonassociative Jordan loops.

Vienna Fortran, a machine-independent language extension to Fortran which allows the user to write programs for distributed-memory systems using global addresses, provides the forall loop construct for specifying irregular computations that do not cause inter-iteration dependences. Compilers for distributed-memory systems cannot generate eecient code for such loops using compile-time techniques...

We derive the N-point one-loop correlation functions for the currents of an arbitrary affine Kac-Moody algebra. The one-loop amplitudes, which are elliptic functions defined on the torus Riemann surface, are specified by group invariant tensors and certain constant taudependent functions. We compute the elliptic functions via a generating function, and explicitly construct the invariant tensor ...

We construct a string field theory for c = 1 noncritical strings using the loop variables as the string field. We show how one can express the nonrelativistic free fermions which describes the theory, in terms of these string fields.

We construct soliton solutions for non-abelian loop Toda equations associated with general linear groups. Here we consider the untwisted case only and use the rational dressing method based upon appropriate block-matrix representation suggested by the initial Z-gradation.

We construct a large class of periodic instantons. Conjecturally we produce all periodic instantons. This connrms a conjecture of Garland and Murray that relates periodic instantons to orbits of the loop group acting on an extension of its Lie algebra.

We show how to connect together the loops of a simple Conformal Loop Ensemble (CLE) in order to construct samples of chordal SLEκ processes and their SLEκ(ρ) variants, and we discuss some consequences of this construction.

We establish a formula for the distribution of loop-erased random walks at certain random times. Several classical results on spanning trees, including Wilson’s algorithm, follow easily, as well as a method to construct random Hamiltonian cycles.

background: familial adenomatous polyposis (fap) is a well-known entity for specialistrnand it has near 100% chance of malignant changes if does not managed surgically. in orderrnto reduce the disadvantages of laparatomy and diverting ileostomy we present ourrnresults of laparoscopic total proctocolectomy without diverting ileostomy.rnobjectives: the aim of this study was to present the results...