Here we will show that T (s)− B2(s − 1) −1 can be continuously extended onto the line Re s = 1, (Th.1). This enables application of the powerful complex Tauberian theorem of Wiener and Ikehara (1931) and then almost immediately yields our main result, (Th.2). The ideas basic to our proof of Th.1 are plain: We are striving to exhibit a relation between T (s) and the Riemann Zeta function ζ(s); m...

The number of possible distinct names of reasonable length is necessarily finite, and with the heavy demand for new names in some areas of current English-speaking commerce it seems possible that the supply might approach exhaustion. Numbers of possibilities cannot be calculated exactly, because most wordforms theoretically allowed by English phonology are too clumsy to be usable. However, Mont...

Optimality Theory assumes the candidate set generated for any given input is of infinite cardinality. If all of the candidates in the candidate set were potential winners (optimal candidates under some ranking), then OT would have predicted an infinite typology— there would be infinitely many possible languages. However, Samek-Lodovici and Prince (1999) have shown that in standard OT (with only...

T microorganisms classified in the two prokaryotic domains of the tree of life, Bacteria and Archaea, possess immense metabolic diversity, and their activities are critical in processes ranging from sewage treatment to regulating the composition of the atmosphere. Especially in light of the rate of modern climate change, it is essential to understand how microbial communities affect ecosystem f...

An important component of recent pragmatic theorising is the view that the linguistically encoded meaning of an utterance often falls far short of determining the proposition that a speaker explicitly communicates and that the gap between the two is bridged by highly context-sensitive pragmatic processes. Crucially, processes of ‘free pragmatic enrichment’, that is, processes that are not dicta...

We discuss a robust alternative to the ex-post decomposition of a portfolio into the fundamental law co-efficients using statistically estimated breadth. The breadth of a market provides a measure of the number of independent bets available to the investor. We use the Keiser-Gutman stopping criterion to select the integer valued effective dimension eigenvalues greater-than or equal to 1. Such a...

It is shown that in a generic two-jurisdiction model of the type introduced by Caplin and Nalebuff (1997), the number of sorting equilibria (with jurisdictions providing distinct policies) is finite and even.

In addition to the famous sign described by Joseph Babinski, which is also known as Babinski's reflex, there are references in the literature to various other signs described by this famous disciple of J-M Charcot. This article reviews all the neurological signs described by Babinski.

In a recent paper in Current Biology, Fennessy and colleagues [1] conclude that there are four species of giraffe and that their numbers are declining in Africa. Giraffes (Giraffa camelopardalis) are presently classified as one species, with nine subspecies, which are considered 'Vulnerable' on the IUCN Red List [2]. The present consensus of one species divided into nine subspecies has previous...

Small nucleolar RNAs (snoRNAs) are among the most evolutionarily ancient classes of small RNA. Two experimental screens published in BMC Genomics expand the eukaryotic snoRNA catalog, but many more snoRNAs remain to be found.