(here b and a run over the quadratic nonresidues and quadratic residues, respectively, that lie between 0 and p) is a unit of the real quadratic field R(y/p), and that 77> 1. The fact that -n > 1 is usually deduced from the theory of the classnumber of quadratic fields. We present a short proof independent of the theory of the class-number. As in the paper of Chowla and Mordell [Note on the non...

background: the control of leishmaniasis, a tropical neglected disease, has been concern of iranian health authori­ties due to the increasing number of cases during the last two decades. the objective of this study was to determine del­tamethrine residue on the impregnated bed nets using hptlc technique in a leishmaniasis control program in iran. methods: during this experimental study, a total...

This is discussed a bit further in [1] with some numerical and theoretical evidence. In this note we point out the link of Conjecture 3 with the recent very deep work of Duke, Friedlander, and Iwaniec [2] on roots of quadratic congruences modulo primes and give some more support (heuristic and theoretical) for the conjecture, showing also that it is undoubtedly a very hard problem. The conditio...

In this work, the Reduced Navier Stokes (RNS) are numerically integrated, and used to calculate nonlinear finite amplitude streaks. These structures are interesting since they can have a stabilizing effect and delay the transition to the turbulent regime. RNS formulation is also used to compute the family of nonlinear intrinsic streaks that emerge from the leading edge in absence of any externa...

We aim at comparing computations with asymptotic models issued from incompressible Navier-Stokes at high Reynolds number: the Reduced Navier-Stokes/Prandtl (RNS/P) equations and the Double Deck (DD) equations. We treat the case of the steady two dimensional flow in a constricted pipe. In particular, finite differences and finite element solvers are compared for the RNS/P equations. It results f...

We present initialization of targets in multiple and variable number of target-tracking systems (where targets maneuver dynamically with random accelerations) in this paper where especially, received signal strength (RSS) model sensors are applied in wireless sensor networks. RSS measurement model does not allow to form one to one mapping between states and observations (or measurement). Based ...

  The fallacy persists in discourse analysis research to explore lexicogrammatical phenomena detached from any adjacent plane of the meaning potential. In an attempt to dispel this and toss out some preconceived notions about what a modern SFG vantage point should involve, this study homes in on one aspect of SFG within prose fiction in particular, which is very revealing in terms of how separ...

Binary optimal codes often contain optimal or near-optimal subcodes. In this paper we show that this is true for the family of self-dual codes. One approach is to compute the optimum distance profiles (ODPs) of linear codes, which was introduced by Luo, et. al. (2010). One of our main results is the development of general algorithms, called the Chain Algorithms, for finding ODPs of linear codes...