Nuclear Medicine (NM) is a medical imaging technique in which patients are administered radioactive tracers. As the tracers decay in the human body, they emit photons, which are then captured to generate an image used for diagnostic purposes. The schedule of daily patients in an NM center is a hard and interesting problem due to the continuous decay of these radioactive tracers. This scheduling...

R. Morse, P. Allison, M. DuVernois, P. Gorham, J. Learned, & G. Varner, Dept. of Physics and Astronomy, Univ. of Hawaii, Manoa, HI 96822; D. Besson, Dept. of Physics, University of Kansas, Lawrence, KS 66045; A. Karle, F. Halzen, & H. Landsman, Dept. of Physics, University of Wisconsin, Madison, WI 53703; J. Beatty, Dept. of Physics, The Ohio State University, Columbus, OH 43210; K. Hoffman, De...

The INFN (Italian National Institute for Nuclear Physics) has approved a national theoretical network on ”Structure and Reactions with Exotic Nuclei”. The project involves the INFN branches of Laboratorio Nazionale del Sud, Padova and Pisa. The aim of the project is to start coordinating and to homogenize the research already performed in Italy in this field and to strengthen and improve the It...

Logarithmic signatures for finite groups are the essential constituent of public key cryptosystems MST1 and MST3. Especially they form the main component of the private key of MST3. Constructing new classes of logarithmic signatures having features that do not share with the well-known class of transversal or fused transversal logarithmic signatures, has become a vital issue regarding the use o...

In the paper, by induction and recursively, the author proves that the generating function of multivariate logarithmic polynomials and its reciprocal are a Bernstein function and a completely monotonic function respectively, establishes a Lévy-Khintchine representation for the generating function of multivariate logarithmic polynomials, deduces an integral representation for multivariate logari...

Steven Romans Logarithmic Binomial Formula analogue has been found and is presented here also for the case of fibonomial coefficients-which recently have been given a combinatorial interpretation by the present author.

The paper presents a new multiplier enabling achievement of an arbitrary accuracy. It follows the same idea of number representation as the Mitchell’s algorithm, but does not use logarithm approximation. The proposed iterative algorithm is simple and efficient and its error percentage is as small as required. As its hardware solution involves adders and shifters, it is not gate and power consum...

Let C → S be a proper flat family of stable curves, smooth over S0 = S r ∆. One can associate a flat family f : SUC(r, d) → S0 of moduli spaces SUCs(r, d) of semistable vector bundles of rank r and degree d with fixed determinant over the curves Cs, and also a line bundle Θ on SUC(r.d) such that its restriction to each fibre is the line bundle on SUCs(r, d) defined by the theta divisors. It is ...

We present an algebraic characterization of the complexity classes Logspace and NLogspace, using an algebra with a composition law based on unification. This new bridge between unification and complexity classes is inspired from proof theory and more specifically linear logic and Geometry of Interaction. We show how unification can be used to build a model of computation by means of specific su...

The operation of logarithmic addition was always eclipsed with heavy volumes of look-up tables. So with a goal to reduce the ROM size, an elegant and novel technique for logarithmic addition using RNS (Residue Number System) is demonstrated in this paper. To formulate this technique, the properties of Finite Fields and Finite Rings are exploited. A multiple base logarithm has been defined first...