This is Part II of the paper “A question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor” [Ka-QKRPD]. Here we prove two independence results for tuples of character sums, either formed with a variable character and its powers, or formed with two characters and their product.

General relativistic magnetohydrodynamic (GRMHD) simulations represent a fundamental tool to probe various underlying mechanisms at play during binary neutron star (BNS) and (NS) - black hole (BH) mergers. Contemporary flux-conservative GRMHD codes numerically evolve set of conservative equations based on `conserved' variables which then need be converted back into the (`primitive') variables. ...

In this paper we find sufficient conditions on primitive inverse topological semigroup S under which: the inversion inv : (H(S)) (H(S)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed H-classes is topologically isomorphic to an orthogonal sum P i2= Bi (Gi) of topological Brandt extensions Bi (Gi) of countably compac...

this is the report of a mandibular neuroectodermal/ewing sarcoma in an 8-year-old male cross breed dogthat is unique because of tumor origin location. pedunculated, ulcerative, firm 6.0 × 4.0 × 5.5 cm tumor masseffaced the bone at the rostral part of the mandible and had a white-sanguineous color at cross sectionappearance. histopathologically, small round blue cell tumor was diagnosed. immunoh...

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We have proposed a very high speed internet (VHSI) abstraction that can provide a variable grade service with performance guarantees on top of diverse networks. An important component of the VHSI abstraction is a novel Multipoint Congram-oriented High Performance Internet Protocol (MCHIP). Features of this protocol include support for multipoint communication, the congram as the service primiti...

In this short paper, a uniied framework for solving Boolean, integer and set constraints is presented. The computation model for solving conjunctions of primitive constraints, possibly with existential and universal quantiications, is described using rewrite rules. An important feature of the constraint solving model is that a variable's domain (set of integers) can be a constrained variable (s...

in this paper we find sufficient conditions on primitive inverse topological semigroup s under which: the inversion inv : (h(s)) (h(s)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed h-classes is topologically isomorphic to an orthogonal sum p i2= bi (gi) of topological brandt extensions bi (gi) of countably compac...

Quantum-dot Cellular Automata (QCA) is a nanotechnology which has potential applications in future computers. In this paper, a method for reducing the number of majority gates (a QCA logic primitive) is developed to facilitate the conversion of SOP expressions of three-variable Boolean functions into QCA majority logic. Thirteen standard functions are proposed to represent all three-variable Bo...