13 research outputs found
On Minimum Violations Ranking in Paired Comparisons
Ranking a set of objects from the most dominant one to the least, based on
the results of paired comparisons, proves to be useful in many contexts. Using
the rankings of teams or individuals players in sports to seed tournaments is
an example. The quality of a ranking is often evaluated by the number of
violations, cases in which an object is ranked lower than another that it has
dominated in a comparison, that it contains. A minimum violations ranking (MVR)
method, as its name suggests, searches specifically for rankings that have the
minimum possible number of violations which may or may not be zero. In this
paper, we present a method based on statistical physics that overcomes
conceptual and practical difficulties faced by earlier studies of the problem.Comment: 10 pages, 10 figures; typos corrected (v2
A network-based ranking system for American college football
American college football faces a conflict created by the desire to stage
national championship games between the best teams of a season when there is no
conventional playoff system to decide which those teams are. Instead, ranking
of teams is based on their record of wins and losses during the season, but
each team plays only a small fraction of eligible opponents, making the system
underdetermined or contradictory or both. It is an interesting challenge to
create a ranking system that at once is mathematically well-founded, gives
results in general accord with received wisdom concerning the relative
strengths of the teams, and is based upon intuitive principles, allowing it to
be accepted readily by fans and experts alike. Here we introduce a
one-parameter ranking method that satisfies all of these requirements and is
based on a network representation of college football schedules.Comment: 15 pages, 3 figure
Dopplerfluxometria no estudo da circulação fetal: revisão do aspecto segurança Doppler velocimetry in the study of the fetal circulation: review on safety
Os autores apresentam os métodos Doppler e sua evolução no estudo da circulação fetal, dando ênfase à segurança e aos bioefeitos. Os aparelhos de ultra-sonografia utilizados correntemente funcionam com Ãndice térmico máximo e Ãndice mecânico automaticamente mantidos em nÃveis inferiores a 1,0. Até os dias atuais, não foi descrita lesão biológica em fetos humanos submetidos ao Doppler diagnóstico. Portanto, o Doppler pulsado, o colorido e o "power" Doppler são seguros na exposição ultra-sonográfica do pré-natal.<br>The authors review the Doppler imaging methods and their evolution for the study of the fetal circulation emphasizing safety and bioeffects. Ultrasound machines work with thermal and mechanical indexes that are automatically kept under 1.0. Up to date, there have been no reports on biological lesions in human fetuses caused by diagnostic Doppler. Consequently, color, pulsed and power Doppler sonography are considered safe in prenatal exposure