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We use τK to denote the topology of DK (Ω) equipped with such metric. The topology of D (Ω) can be defined precisely. Let β be the collection of all convex balanced sets W ⊂ D (Ω) such that DK (Ω) ∩ W ∈ τK for every compact K ⊂ Ω. Let τ be the collection of all unions of sets of the form φ+W with φ ∈ D (Ω) and W ∈ β. Theorem 1. τ is a topology in D (Ω) and β is a local base for τ . The topology...

We present a new family of limited-memory variationally-derived variable metric (VM) line search methods with quadratic termination property for unconstrained minimization. Starting with x0 ∈ RN , VM line search methods (see [6], [3]) generate iterations xk+1 ∈ RN by the process xk+1 = xk + sk, sk = tkdk, where the direction vectors dk ∈ RN are descent, i.e. g k dk < 0, k ≥ 0, and the stepsizes...

Lens flexure and residual astigmatism were evaluated with rigid gas permeable (RGP) contact lenses made in low, medium, and high oxygen permeable (Dk) materials to determine if significant differences would be apparent as lens Dk was changed. Fourteen successful RGP contact lens wearers had their customary lens parameters, including lens thickness, held constant in duplicate pairs made in low (...

This paper deals with a new class of convolutional codes called Turbo-codes, whose performances in terms of Bit Error Rate (BER) are close to the SHANNON limit. The Turbo-Code encoder is built using a parallel concatenation of two Recursive Systematic Convolutional codes and the associated decoder, using a feedback decoding rule, is implemented as P pipelined identical elementary decoders. I IN...

PURPOSE To evaluate the individual contributions of pigment colorant and packing solution containing polyvinyl pyrrolidone (PVP) on the oxygen permeability (Dk) of a cosmetic printed etafilcon A daily disposable contact lens packaged with PVP. METHOD The oxygen transport of a contact lens is evaluated through the central optical zone of the lens. Cosmetic printed contact lenses contain pigmen...