abstract background: aprotinin has been used increasingly to reduce postoperative blood loss in open-heart operations due to the potentialities for complications and high cost, it would seem reasonable to use aprotinin more selectively in small doses in the prime solution of the pump. methods: we prospectively studied the effect of preoperative low dose aprotinin [2 million units (230mg)] on bl...

Prime Factorization based on Quantum approach in two phases has been performed. The first phase has been achieved at Quantum computer and the second phase has been achieved at the classic computer (Post Processing). At the second phase the goal is to estimate the period r of equation 1 N r x ≡ and to find the prime factors of the composite integer N in classic computer. In this paper we present...

We introduce a notion of viscosity solutions for the two-phase Stefan problem, which incorporates possible existence of a mushy region generated by the initial data. We show that a comparison principle holds between viscosity solutions, and investigate the coincidence of the viscosity solutions and the weak solutions defined via integration by parts. In particular, in the absence of initial mus...

For all values of the parameter γ, (1.1) has a unique positive equilibrium x̄ = (γ + 1)/2. When 0 < γ < 1, the positive equilibrium x̄ is locally asymptotically stable. In the case where γ = 1, the characteristic equation of the linearized equation about the positive equilibrium x̄ = 1 has three eigenvalues, one of which is −1, and the other two are 0 and 1/2. In addition, when γ = 1, (1.1) posses...

A prime number p is called b-elite if only finitely many generalized Fermat numbers Fb,n = b 2 + 1 are quadratic residues modulo p. Let p be a prime. Write p − 1 = 2h with r ≥ 0 and h odd. Define the length of the b-Fermat period of p to be the minimal natural number L such that Fb,r+L ≡ Fb,r (mod p). Recently Müller and Reinhart derived three conjectures on b-elite primes, two of them being th...