Casimir forces of massive ferrnionic Dirac fields are calculated for parallel plates geometry in spatial space with dimension d and imposing bag model boundary conditions. It is shown that in the range of ma>>l where m is mass of fields quanta and a is the separation distance of the plates, it is equal to massive bosonic fields Casimir force for each degree of freedom. We argue this equalit...

It is suggested that the absolute dimensions of cells Escherichia coli may be set by separation distance between newly completed sister nucleoids.

The smallness and hierarchy of the fermion parameters could be explained in theories with extra dimensions where doublets and singlets are localized at slightly separated points. Scattering cross sections for collisions of such fermions vanish exponentially at energies high enough to probe the separation distance. This is because the separation puts a lower bound on the attainable impact parame...

Consider a large group of agents chasing a small group of moving targets. Assume each agent moves at constant speed toward the closest target. This paper studies the problem of controlling the agents indirectly by specifying the motion of the targets. In particular, it considers the problem of maintaining a minimum separation distance between each pair of agents, something that is impossible to...

In this paper we proved a nonconvex separation property for general sets which coincides with the Hahn-Banach separation theorem when sets are convexes. Properties derived from the main result are used to compute the subgradient set to the distance function in special cases and they are also applied to extending the Second Welfare Theorem in economics and proving the existence of singular multi...

The paper presents a recursive algorithm for the investigation of a strict, linear separation in the Euclidean space. In the case when sets are linearly separable, it allows us to determine the coefficients of the hyperplanes. An example of using this algorithm as well as its drawbacks are shown. Then the algorithm of determining an optimal separation (in the sense of maximizing the distance be...

In this paper, a novel methodology for computing a collision-free trajectory for mobile robots amidst moving objects is presented. This planner is based on a new technique for computing the minimum translational distance between two mobile objects. This distance is then used for predicting and avoiding a collision. The computation of this distance is based on the application of the GJK algorith...

Electric arc furnace dust (EAFD) of ferromanganese production units, in the form of slurry, contains tar, alkalies, manganese, zinc, iron, silica, calcium, aluminum and other elements. A hydrometallurgical route based on solvent extraction technique was investigated for selective separation of manganese from the dust. Leaching of the EAFD resulted in an aqueous feed containing 4 g/L of manganes...

A modified version of the standard A.L.F DNA sequencer (Pharmacia, Uppsala) is described that allows the separation of up to 1000 bases per clone. Fragments were resolved at single peak resolution up to 700 bases. The raw data accuracy was >99.7%, resulting in an overall error rate of <0.01% for the final sequence after sequencing both DNA strands. The modifications include 60 cm thermostatic a...

1. Protein Separation Methods The following is a quick review of some common methods used for protein separation: SDS-PAGE (SDS-polyacrylamide gel electrophoresis) separates proteins mainly on the basis of molecular weight as opposed to charge (which is ‘swamped out’ by the excess of protein-bound SDS) or folding (proteins are largely denatured in SDS). In the ideal picture, the distance migrat...