Racemic propranolol has been shown to be an effective antidysrhythmic agent in many circumstances (Frieden, 1967; Gettes and Surawicz, 1967; Gibson and Sowton, 1969), including the management of ventricular fibrillation following infarction (Sloman, Robinson, and McLean, 1965). Its depressant effects on myocardial function (Bay, Lund-Larsen, Lorentsen, and Sivertssen, 1967) limit its use in ser...

The work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method  and Adomian decomposition method for solving  differential equations of integer and fractional orders.

We consider the computation of cube roots in finite fields. For the computation of square roots in finite fields, there are two typical methods; the Tonelli-Shanks method [9, 12] and the Cipolla-Lehmer method [4, 6]. The former can be extended easily to the case of r-th roots, which is called the Adleman-Manders-Miller method [1], but it seems to be difficult to extend the latter to more genera...

Opening Statement // Justin Shanks Facilitator Justin Shanks kicked off the morning with an opening statement introducing the goals of the workshop and posed the following questions: (1) Is there a need for a Food Environment CoP? What should such a CoP look like in terms of structure and function? (2) Is there a need to modify the working definition of food environment to more comprehensively ...

I describe a modification to Shanks’ baby-step giant-step algorithm for computing the order n of an element g of a group G, assuming n is finite. My method has the advantage of being able to compute n quickly, which Shanks’ method fails to do when the order of G is infinite, unknown, or much larger than n. I describe the algorithm in detail. I also present the results of implementations of my a...

We obtain good estimates on the ranks of universal quadratic forms over Shanks' family simplest cubic fields and several other families totally real number fields. As main tool we characterize all indecomposable integers in these elements codifferent small trace. also determine asymptotics principal ideals norm less than square root discriminant.

and this was conjectured, on numerical evidence, by Shanks (1961) [7] to be true for α = 2 . © 2010 Elsevier Inc. All rights reserved.