A four-step route for the synthesis of 5-azatetracene (benzo[b]acridine) has been developed, employing a base-catalysed Friedlander condensation reaction between 3-amino-2-napthaldehyde and cyclohexanone as key step followed by dehydrogenation intermediate. The optical electrochemical properties were investigated UV-vis photoluminescence spectroscopy, cyclic voltammetry compared with those tetr...

Motivated by an equation arising in magnetohydrodynamics, we address the well-posedness theroy for non-diffusive magneto-geostrophic equation. Namely, active scalar which divergence-free drift velocity is one derivative more singular than scalar. In Friedlander and Vicol (Nonlinearity 24(11)::3019–3042, 2011), authors prove that ill-posed sense of Hadamard Sobolev spaces, but locally well posed...

If Ω is any compact Lipschitz domain, possibly in a Riemannian manifold, with boundary Γ = ∂Ω, the Dirichlet-to-Neumann operator Dλ is defined on L2(Γ) for any real λ. We prove a close relationship between the eigenvalues of Dλ and those of the Robin Laplacian ∆μ, i.e. the Laplacian with Robin boundary conditions ∂νu = μu. This is used to give another proof of the Friedlander inequalities betwe...

Let q denote a large prime number, a be any integer. Let N(q, a) denote the smallest positive integer n for which φ(n) ≡ a (mod q). The number N(q, a) exists. Indeed, if a+1 ≡ 0 (mod q) then one can take n = q. Otherwise, one can take n to be a prime from the arithmetical progression a + 1 (mod q). The problem of upper bound estimates for N(q, a) has been a subject of study of the work of Fried...

The morbidity and mortality of anaesthesia and surgery are increased by cardiac diseases. It is essential, therefore, to recognize the presence of cardiovascular diseases and to assess their severity in order to prevent serious complication during anaesthesia and the period after operation. Relatively silent cardiac or vascular diseases are often first diagnosed during the preoperative visit (K...

In this paper, we present a new method for minimizing a convex quadratic function of many variables with box constraints. The new algorithm is a modiication of a method introduced recently by Friedlander and Mart nez (SIAM J. on Optimization, febru-ary 1994). Following the lines of Mor e and Toraldo (SIAM J. on Optimization 1, pp. 93-113), it combines an eecient unconstrained method with gradie...

This issue of SIAG/OPT Views-and-News is dedicated to the 2011 SIAM Conference on Optimization. Claudia Sagastizábal has written a beautiful and elegant survey of nonsmooth optimization showing how traditional methods can be cleverly improved by exploiting structure beyond the black box. Don’t miss her plenary presentation on Wednesday at 1pm! Other highlights of OP11 include the SIAG/OPT busin...

Let G be a simple, simply connected algebraic group defined and split over the prime field F p > 3. Let F be a finite dimensional rational G-module. As shown in [1] , for d suitably large, the Eilenberg-Mac Lane cohomology groups H*(G(Fpd), V) achieve a stable value H*en(G, V)9 the so-called generic cohomology of V. This generic cohomology can in turn be determined from the rational cohomology ...