By Theorem 2.1 the product φ1φ2 is of bounded variation and by Theorem 2.24 all three Riemann–Stieltjes integrals involved exist as the limit of Riemann–Stieltjes sums as |Γ| → 0. In particular we can find a δ1 > 0 such that ∣∣∣∣∫ b a fφ2 dφ1 −RΓ(fφ2, φ1) ∣∣∣∣ < ε , ∣∣∣∣∫ b a fφ1 dφ2 −RΓ(fφ1, φ2) ∣∣∣∣ < ε for all partitions with |Γ| < δ1. Let Γ = {xi}i=0 be any partition of [a, b] with intermed...

There are formal proof systems other than Hilbert-style for classical logic, whether propositional, first-order, or higher-order. Among these alternatives are tableaux, Gentzen, and natural deduction systems. None of these are discussed in Enderton’s book. In a Hilbert system, finding a derivation for a wff may be a tricky business, as one has to guess which axiom and which inference rule to us...

Under Martin’s Axiom a c.c.c. nonseparable compact space is constructed which maps continuously into [0, 1] with linear fibers. Such a space can not, for instance, map onto [0, 1]א1 .

OBJECTIVE To test the hypothesis that ma huang induces a pressor response in the pulmonary vascular bed of the cat by activating alpha(1)-adrenergic receptors DESIGN Prospective vehicle-controlled study. SETTING Research laboratory at Texas Tech University School of Medicine, Lubbock, TX. SUBJECTS Intact chest preparation; adult mongrel cats. INTERVENTIONS The effects of phentolamine, a...

Many researchers agree that the quality of a metaheuristic optimization approach is largely a result of the interplay between intensification and diversification strategies (see e.g. Ferland et al. (2001); Laguna et al. (1999)). One of the main motivations for this paper is the observation that the design of evolutionary algorithms, including memetic algorithms, makes it particularly difficult ...

We present a novel approach to the blind estimation of a linear time-invariant possibly mixed-phase moving average (MA) system (channel) based on second and fourth order statistics of the stationary received signal. As the algorithm incorporates the solution of an eigenvector problem, it is termed EVI standing for EigenVector approach to blind Identification. One of EVI's main features is its a...

the microstructure and thermal properties of the synthesized block copolymers and terpolymers via atom transfer radical polymerization (atrp) were studied. the mole fraction of the blocks and chain length of the pvac-b-pma block copolymers were estimated with 1h nmr spectroscopy.differential scanning calorimety measurement shows two different transitions at 36°c and 8°c assigned to pvac and pma...