2,362 research outputs found
Transition to hexagonal pattern under the variation of intrinsic length scales of a reaction diffusion system
The intrinsic length scales of a reaction diffusion system (Gierer-Meinhardt
model)is varied by quasi-statically changing the diffusion constant of the
activator and a transition from rolls to hexagon is detected. The transition is
hysteretic or first order like. From stability analysis, we also analytically
show the possibility of such transitions.Comment: One .tex file and four .ps file
Weights for Objects of Monoids
The main objective of the paper is to define the construction of the object
of monoids, over a monoidal category object in any 2-category with finite
products, as a weighted limit. To simplify the definition of the weight, we use
matrices of symmetric (possibly colored) operads that define some auxiliary
categories and 2-categories. Systematic use of these matrices of operads allows
us to define several similar objects as weighted limits. We show, among others,
that the constructions of the object of bi-monoids over a symmetric monoidal
category object or the object of actions of monoids along an action of a
monoidal category object can be also described as weighted limits.Comment: 19 page
An eagle eye: Africa in the 20th Century as viewed through the archives of Barclays Bank
Barclaysâ international business was founded in 1925 as Barclays Bank (Dominion, Colonial and Overseas). The roots of the business lay in three 19th century banks: the Anglo-Egyptian, the Colonial, and the National Bank of South Africa. It had long been the dream of Barclays Chairman, Frederick Goodenough, to create an âEmpire Bankâ, and by buying these three and merging them, that is precisely what he achieved. This article sets out to provide an overview of the collection and suggest avenues of future research
Scaling of internode distances in weighted complex networks
We extend the previously observed scaling equation connecting the internode
distances and nodes' degrees onto the case of weighted networks. We show that
the scaling takes a similar form in the empirical data obtained from networks
characterized by different relations between node's strength and its degree. In
the case of explicit equation for s(k) (e.g. linear or scale-free), the new
coefficients of scaling equation can be easily obtained. We support our
analysis with numerical simulations for Erdos-Renyi random graphs with
different weight distributions.Comment: 9 pages, 4 figures, submitted to International Journal of Modern
Physics
Impact of lexical and sentiment factors on the popularity of scientific papers
We investigate how textual properties of scientific papers relate to the
number of citations they receive. Our main finding is that correlations are
non-linear and affect differently most-cited and typical papers. For instance,
we find that in most journals short titles correlate positively with citations
only for the most cited papers, for typical papers the correlation is in most
cases negative. Our analysis of 6 different factors, calculated both at the
title and abstract level of 4.3 million papers in over 1500 journals, reveals
the number of authors, and the length and complexity of the abstract, as having
the strongest (positive) influence on the number of citations.Comment: 9 pages, 3 figures, 3 table
Risky business: managing electronic payments in the 21st Century
On June 20 and 21, 2005, the Payment Cards Center of the Federal Reserve Bank of Philadelphia, in conjunction with the Electronic Funds Transfer Association (EFTA), hosted a day-and-a-half forum, âRisky Business: Managing Electronic Payments in the 21st Century.â The Center and EFTA invited participants from the financial services and processing sectors, law enforcement, academia, and policymakers to explore key topics associated with the challenge of effectively managing risk in a payments environment that is increasingly electronic. The meetingâs goal was to identify areas of potential risk and explore interindustry solutions. This paper provides highlights from the forum presentations and ensuing conversations.
- âŠ