Attention has recently been directed to the possible lethal effect of aerosol sympathomimetic agents in the treatment of bronchial asthma (Speizer, Doll, Heaf and Strang, 1968), death being attributed to an excitatory action on the heart. Animal studies indicate that practolol (I.C.I. 50,172, Eraldin) specifically blocks cardiac beta-adrenergic receptors, preventing arrhythmias or other alterat...

This note is a detailed explanation of Shanks–Atkin NUCOMP— composition and reduction carried out “simultaneously”—for all quadratic fields, that is, including real quadratic fields. That explanation incidentally deals with various “exercises” left for confirmation by the reader in standard texts. Extensive testing in both the numerical and function field cases by Michael J Jacobson, Jr, report...

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We present new algorithms for computing orders of elements, discrete logarithms, and structures of finite abelian groups. We estimate the computational complexity and storage requirements, and we explicitly determine the O-constants and Ω-constants. We implemented the algorithms for class groups of imaginary quadratic orders and present a selection of our experimental results. Our algorithms ar...

Current models of causal induction are seriously compromised because they cannot represent variations in cause-effect timing. Theoretical considerations and empirical evidence converge, suggesting that cause-effect timing influences induction beyond mere interference, in line with predictions of psychophysical models of rate comparison. Rather than accepting two distinct cognitive processes for...

In this paper we develop rational discrete-time approximations (IIR filters) to continuous fractional-order integrators and differentiators of type sα, α ∈ R. For that, it is proposed the adoption of the techniques of Padé, Prony and Shanks usually applied in the signal modelling of deterministic signals. These methods yield suboptimal solutions to the problem which only requires finding the so...

Allen and March provide a critique of one of our papers in which we argue composites should be represented as entities/objects in a conceptual model rather than relationships/associations (Shanks et al. 2008). They contend we have addressed a non-issue. Furthermore, they argue our theoretical rationale and empirical evidence have flaws. In this paper, we provide a response to their arguments. W...

In this paper, we show a general way to interpret the infrastructure of a global field of arbitrary unit rank. This interpretation generalizes the prior concepts of the giant-step operation and f -representations, and makes it possible to relate the infrastructure to the (Arakelov) divisor class group of the global field. In the case of global function fields, we present results that establish ...

Several studies have found learning of biconditional grammars only under intentional rule-search conditions (e.g., Johnstone & Shanks, 2001). Memorization of strings merely led to the learning of chunks. We used a musical grammar, a diatonic inversion, that is a type of biconditional grammar. Participants either were required to memorize a set of grammatical tunes (incidental learning), or were...

Let R be the regulator and let D be the absolute value of the discriminant of an order 0 of an algebraic number field of unit rank 1. It is shown how the infrastructure idea of Shanks can be used to decrease the number of binary operations needed to compute R from the best known 0(RD£) for most continued fraction methods to 0(Rll2De). These ideas can also be applied to significantly decrease th...