A Hamilton loop is a loop in which every subloop is normal. This definition is somewhat broader than the analogous definition of group theory where a Hamiltonian group is restricted to be non-Abelian. The structure of a Hamiltonian group is well known [4, pp. 129-131 ]l —it is the direct product of an Abelian group whose elements have odd order, an Abelian group with exponent 2, and a quaternio...

Reducing cost of material handling has been a big challenge for companies. Flexible manufacturing system employed automated guided vehicles (AGV) to maintain efficiency and flexibility. This paper presents a new non-linear mathematical programming model to group n machines into N loops, to make an efficient configuration for AGV system in Tandem layout. The model minimizes bot...

We calculate the coefficients of the leading non-global logarithms for the hemisphere mass distribution analytically at 3, 4, and 5 loops at large Nc. We confirm that the integrand derived with the strong-energy-ordering approximation and fixed-order iteration of the Banfi-Marchesini-Syme (BMS) equation agree. Our calculation exploits a hidden PSL(2,R) symmetry associated with the jet direction...

In this paper so-called discrete loops are described which narrow the gap between general loops (e.g. while-or repeat-loops) and for-loops. Although discrete loops can be used for applications that would otherwise require general loops, discrete loops are known to complete in any case. Furthermore it is possible to determine the number of iterations of a discrete loop, while this is trivial to ...

In this paper so-called discrete loops are introduced which narrow the gap between general loops (e.g. while-or repeat-loops) and for-loops. Although discrete loops can be used for applications that would otherwise require general loops, discrete loops are known to complete in any case. Furthermore it is possible to determine the number of iterations of a discrete loop, while this is trivial to...