High-dynamic range imaging from space in the visible, aiming in particular at the detection of terrestrial exoplanets, necessitates not only the use of a coronagraph, but also of adaptive optics to correct optical defects in real time. Indeed, these defects scatter light and give birth to speckles in the image plane. Speckles can be cancelled by driving a deformable mirror to measure and compen...

We introduce a new iterative method for approximating a locally unique solution of variational inclusions in Banach spaces by using generalized divided differences of the first order. This method extends a method considered by Traub [17] (in the scalar case) and by Potra [12] (in the Banach spaces case) for solving nonlinear equations to variational inclusions. An existence–convergence theorem ...

Introduction. The problem of devising optimal methods for numerically approximating the roots of a polynomial has been of interest for several centuries, and is far from solved. There are numerous recent works on root-finding algorithms and their cost, for example, the work of Jenkins and Traub [JT70], Renegar [Ren87], Schönhage [Sch82], and Shub and Smale [SS85, SS86, Sma85]. This list is far ...

Based on this national study, it is estimated that 50% of horse operations with 3 or more horses have one or more lame horses annually and on a given day as many as 5% of the horses could be expected to be lame. Leg or joint problems account for half of all lameness cases in the spring and winter and foot problems account for half of all cases that occur in the summer. Laminitis, although less ...

Age, Change and the Adapted Life: DR. WM. DE B. Special Articles: MACNIDER.415 At Filterable Virus Isolated fromn a Case of M A ND R. .......................................................................................................... 1 it r b e ' i u s l t d f o a e o Kaposi's Varicelliform Eruption: DR. RUSSELL J. Obituary: BLATTNER, DR. FLORENCE M. HEYS and DR. MARY RobertlAnthony Hatc...

Intuitively, the more regular a problem, the easier it should be to solve. Examples drawn from ordinary and partial differential equations, as well as from approximation, support the intuition. Traub and Wozniakowski conjectured that this is always the case. In this paper, we study linear problems. We prove a weak form of the conjecture, and show that this weak form cannot be strengthened. To d...

Abstract: In this paper, we have presented a family of fourth order iterative methods, which uses weight functions. This new family requires three function evaluations to get fourth order accuracy. By the Kung–Traub hypothesis this family of methods is optimal and has an efficiency index of 1.587. Furthermore, we have extended one of the methods to sixth and twelfth order methods whose efficien...

In this paper, a possible solution of the basic nonlinear quadratic matrix equation was proposed. The solution is crucial in the formulation of the particular criteria for the delay-dependent finite time stability of discrete time delay systems represented as x(k+1) = A0(k) + A1x(k–h). The time delay-dependent criteria have been derived. In addition, the significance of the nonlinear discrete p...

activated. Intrinsically rhythmic pyramidal cells are susNeural oscillators are ubiquitous. Sometimes their funcpected as the generators of the layer 5 oscillations (Silva tions are obvious: they generate rhythmic movements et al., 1991), but the specific instigators of the layer 2/3 or synchronize an organism’s behavior with its periodic activity are unknown. environment. Ironically, the cereb...

Gamma-band (25-90Hz) oscillations occur in many parts of the brain. We are seeking to understand the underlying neural mechanisms that generate gamma oscillations in the cerebral cortex by studying gamma activity in the Local Field Potential (LFP) in V1 cortex. The LFP is a measure of the average membrane potential of neurons in the neighborhood of the recording electrode and is commonly interp...