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About 10,000 papers for “Unit interval”

The unit of time-interval

Donald H. Sadler · Bulletin astronomique · 1965

It is suggested that the adoption of a physical definition of the unit of time-interval, to replace the ephemeris second, would have no serious effect on the theory and practice of dynamical astro¬ nomy, or on the system of astronomical constants.

Cited by 0

Bipartite Unit Probe Interval Graphs

Brown, David E., Langley, Larry L. · Scholarly Commons (University of the Pacific) · 2012

A graph is a probe interval graph (PIG) if its vertices can be partitioned into probes and nonprobes with an interval assigned to each vertex so that vertices are adjacent if and only if their corresponding intervals intersect and at least one of the vertices is a probe. When all intervals have the same length (or equivalently, no interval contains another properly) the graph is a unit probe interval graph. We characterize, via a list of minimal forbidden induced subgraphs, and no a priori partition of vertices into probes and nonprobes, the class of bipartite unit probe interval graphs and present a linear time recognition algorithm for them which is based on this characterization.

Cited by 0Open access

The unit of time-interval

D. H. Sadler · Symposium - International Astronomical Union · 1965

It is suggested that the adoption of a physical definition of the unit of time-interval, to replace the ephemeris second, would have no serious effect on the theory and practice of dynamical astronomy, or on the system of astronomical constants.

Cited by 0Open access

Clique-width of unit interval graphs

Vadim Lozin · ArXiv.org · 2007

The clique-width is known to be unbounded in the class of unit interval graphs. In this paper, we show that this is a minimal hereditary class of unbounded clique-width, i.e., in every hereditary subclass of unit interval graphs the clique-width is bounded by a constant.

Cited by 4Open access

Averaging operators on the unit interval

Mai Gehrke, Carol L. Walker, Elbert A. Walker · International Journal of Intelligent Systems · 1999

In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though that is not part of the structure of the unit interval as a bounded lattice. To develop a self-contained system, we incorporate an averaging operator, which provides a (continuous) scaling of the unit interval that is not available from the lattice structure. The interest here is in the relations among averaging operators and t-norms, t-conorms, negations, and their generators. ©1999 John Wiley & Sons, Inc.

Cited by 4

Concerning polynomials on the unit interval

Q. M. Tariq · Proceedings of the American Mathematical Society · 1987

Let Pn be the normed linear space of all polynomials p of degree < n such that p(l) = 0 and ||p|| = (f |p(x)|2 dx)1/2.We determine sharpThe inequality is sharp and equality holds for 1 n_1 pn(x) := Pn(x) --j 2j(2i/+ l)Pv(), i/=0

Cited by 2Open access

Probability distributions in the unit interval

Francimário Alves de Lima · Digital Library of Theses and Dissertations (Universidade de São Paulo) · 2018

A distribuição beta é a mais frequentemente utilizada para a modelagem de dados contínuos observados no intervalo unitário, como taxas e proporções. Embora seja flexível, admitindo formas variadas, tais como J, J invertido, U e unimodal, não é adequada em todas as situações práticas. Nesta dissertação fazemos uma revisão sobre distribuições contínuas no intervalo unitário englobando as distribuições beta, Kumaraswamy, simplex, gama unitária e beta retangular. Também abordamos uma ampla classe de distribuições obtida por transformações (Smithson e Merkle, 2013). Em particular, focamos em duas subclasses, uma apresentada e estudada por Lemonte e Bazán (2015), que chamaremos de classe de distribuições logito, e outra que chamaremos de classe de distribuições logito skew. Todas as distribuições consideradas são aplicadas a conjuntos de dados do Banco Mundial.

Cited by 0

Minimal representations of unit interval graphs

Capillo, Esteban · Repositorio Digital Institucional de la Universidad de Buenos Aires (Universidad de Buenos Aires) · 2014

En esta tesis estudiamos el problema de decidir si, dado un modelo de intervalos propios ℒ y una longitud ℓ, existe un modelo de intervalos unitario U de longitud equivalente a ℒ cuyos extremos son enteros y satisfacen ciertas restricciones de separación. Como resultado de esta tesis, diseñamos un algoritmo que encuentra U en tiempo cuadrático, en caso que sea posible. Más aún, cuando dicho modelo unitario no existe, el algoritmo muestra una evidencia de este hecho. Asimismo, mostramos un algoritmo que encuentra el mínimo valor de para el cual el problema tiene solución, que requiere tiempo cuadrático. Por último, mostramos cómo puede aplicarse este algoritmo para encontrar los mínimos k y q tal que el grafo de intersección de I sea un subgrafo inducido de Pkq .

Cited by 0