45,889 research outputs found
Oscar Pistorius and the Future Nature of Olympic, Paralympic, and Other Sports
Oscar Pistorius is a Paralympic bionic leg runner and record holder in the 100, 200, and 400 meters who wants to compete in the Olympics. This paper provides an analysis of a) his case; b) the impact of his case on the Olympics, the Paralympics and other -lympics and the relationships between the -lympics; c) the impact on other international and national sports; d) the applicability of the UN Convention on the Rights of Persons with Disabilities. It situates the evaluation of the Pistorius case within the broader doping discourse and the reality that new and emerging science and technology products increasingly generate internal and external human bodily enhancements that go beyond the species-typical, enabling more and more a culture of increasing demand for, and acceptance of modifications of the human body (structure, function, abilities) beyond its species-typical boundaries and the emergence of new social concepts such as transhumanism and the transhumanisation of ableism
Pivotal tricategories and a categorification of inner-product modules
This article investigates duals for bimodule categories over finite tensor
categories. We show that finite bimodule categories form a tricategory and
discuss the dualities in this tricategory using inner homs. We consider
inner-product bimodule categories over pivotal tensor categories with
additional structure on the inner homs. Inner-product module categories are
related to Frobenius algebras and lead to the notion of -Morita equivalence
for pivotal tensor categories. We show that inner-product bimodule categories
form a tricategory with two duality operations and an additional pivotal
structure. This is work is motivated by defects in topological field theories.Comment: 64 pages, comments are welcom
Modeling record-breaking stock prices
We study the statistics of record-breaking events in daily stock prices of
366 stocks from the Standard and Poors 500 stock index. Both the record events
in the daily stock prices themselves and the records in the daily returns are
discussed. In both cases we try to describe the record statistics of the stock
data with simple theoretical models. The daily returns are compared to i.i.d.
RV's and the stock prices are modeled using a biased random walk, for which the
record statistics are known. These models agree partly with the behavior of the
stock data, but we also identify several interesting deviations. Most
importantly, the number of records in the stocks appears to be systematically
decreased in comparison with the random walk model. Considering the
autoregressive AR(1) process, we can predict the record statistics of the daily
stock prices more accurately. We also compare the stock data with simulations
of the record statistics of the more complicated GARCH(1,1) model, which, in
combination with the AR(1) model, gives the best agreement with the
observational data. To better understand our findings, we discuss the survival
and first-passage times of stock prices on certain intervals and analyze the
correlations between the individual record events. After recapitulating some
recent results for the record statistics of ensembles of N stocks, we also
present some new observations for the weekly distributions of record events.Comment: 20 pages, 28 figure
The Transcendence Degree over a Ring
For a finitely generated algebra over a field, the transcendence degree is
known to be equal to the Krull dimension. The aim of this paper is to
generalize this result to algebras over rings. A new definition of the
transcendence degree of an algebra A over a ring R is given by calling elements
of A algebraically dependent if they satisfy an algebraic equation over R whose
trailing coefficient, with respect to some monomial ordering, is 1. The main
result is that for a finitely generated algebra over a Noetherian Jacobson
ring, the transcendence degree is equal to the Krull dimension
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