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Card-Shuffling Analysis with Weighted Rank DistanceWu, Kung-sheng 24 June 2007 (has links)
In this paper, we cite two weighted rank distances (Wilcoxon rank and Log rank) to analyze how many times must a deck of 52 cards be shuffled to become
sufficiently randomized. Bayer and Diaconis (1992) used the variation distance as a measure of randomness to analyze the card-shuffling. Lin (2006) used the deviation distance to analyze card-shuffling without complicated mathematics formulas. We provide two new ideas to measure the distance for card-shuffling analysis.
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The Relationship Between the Minimal Rank of a Tree and the Rank-Spreads of the Vertices and EdgesSinkovic, John Henry 01 December 2006 (has links) (PDF)
Let F be a field, G = (V,E) be an undirected graph on n vertices, and let S(F,G) be the set of all symmetric n × n matrices whose nonzero off-diagonal entries occur in exactly the positions corresponding to the edges of G. Let mr(F,G)be the minimum rank over all matrices in S(F,G). We give a field independent proof of a well-known result that for a tree the sum of its path cover number and minimal rank is equal to the number of vertices in the tree. The rank-spread of a vertex v of G is the difference between the minimal ranks of G and G - v, the graph obtained by deleting v and all its incident edges from G. The rank-spread of an edge is defined similarly. We derive a formula that expresses the minimal rank of a tree as the difference of sums of rank-spreads, the first being the sum of the rank-spreads of all the vertices and the second the sum of the rank-spreads of all the edges. We show that this is a special case of a more general inequality for all graphs. In proving the above results we explore how rank-spreads change as graphs are vertex-summed.
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Comparación de niveles de Rankl en fluido crevicular gingival previo y posterior a blanqueamiento de dientes no vitales con peróxido de hidrógeno al 35% y peróxido de carbamida al 37%Sánchez San Juan, Francisca January 2016 (has links)
Trabajo de Investigación Requisito para optar al Título de Cirujano Dentista / Introducción: El blanqueamiento intracoronario es una opción de tratamiento
estético mínimamente invasivo para aquellos pacientes con cambio de coloración
de una pieza dentaria no vital. Los agentes blanqueadores que se utilizan en este
procedimiento poseen como agente activo el peróxido de hidrógeno. Esta
sustancia se caracteriza por su fuerte poder oxidante y alta difusión entre las
estructuras dentarias. Diversos autores sugieren que podría generar algún tipo de
respuesta inflamatoria al difundir y alcanzar los tejidos periodontales. Es por esto
que resulta de gran interés evaluar los niveles de marcadores de destrucción
tisular involucrados en procesos inflamatorios como RANKL en el espacio extraradicular,
en pacientes sometidos a blanqueamiento intracoronario, ya que es un
tratamiento cada vez más frecuente y no hay estudios clínicos ni registro de esto
en la literatura.
Material y Métodos: Se incluyeron 50 dientes tratados endodónticamente con
cambio de coloración. Se conformaron de forma aleatorizada dos grupos de
estudio según el agente blanqueador utilizado, G1: peróxido de hidrógeno al 35%
(n=25), G2: peróxido de carbamida al 37% (n=25). El blanqueamiento
intracoronario se realizó mediante la técnica walking bleach con un protocolo de 4
sesiones de blanqueamiento. Las muestras de fluido crevicular gingival para
determinar los niveles de RANKL se tomaron con papel absorbente periopaper
® en 6 sitios por diente en los siguientes tiempos: antes del inicio del
blanqueamiento (baseline), al finalizar cada sesión de blanqueamiento, a la
semana y al primer mes de finalizado el tratamiento. Se cuantificaron los niveles
de proteínas totales usando el sistema Bradford® y a partir de 100 μl de muestra
eluída se midieron los niveles de RANKL mediante ELISA (Quantikine®; R&D
Systems Inc.)
Resultados: Los niveles de RANKL aumentaron significativamente respecto al
baseline en todos los tiempos evaluados, en ambos grupos (p<0,05). No hay
diferencia estadísticamente significativa entre los niveles de RANKL al comparar
los grupos entre sí (p>0,05).
Conclusiones: Los niveles de RANKL aumentan gradualmente luego de cada
sesión de blanqueamiento y hasta el mes post blanqueamiento. / Adscrito a Proyecto PRI-ODO No. 03/016.
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On the nature of academic rankings: The relationship between the academic rankings’ quality of education and the curriculum in Ph.D. C&I programs in AmericaPang, Xing 01 December 2020 (has links)
No description available.
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Statistical Consistency of Ranking:Bipartite and Multipartite CasesUematsu, Kazuki 30 August 2012 (has links)
No description available.
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Rational Realizations of the Minimum Rank of a Sign Pattern MatrixKoyuncu, Selcuk 02 February 2006 (has links)
A sign pattern matrix is a matrix whose entries are from the set {+,-,0}. The minimum rank of a sign pattern matrix A is the minimum of the rank of the real matrices whose entries have signs equal to the corresponding entries of A. It is conjectured that the minimum rank of every sign pattern matrix can be realized by a rational matrix. The equivalence of this conjecture to several seemingly unrelated statements are established. For some special cases, such as when A is entrywise nonzero, or the minimum rank of A is at most 2, or the minimum rank of A is at least n - 1,(where A is mxn), the conjecture is shown to hold.Connections between this conjecture and the existence of positive rational solutions of certain systems of homogeneous quadratic polynomial equations with each coefficient equal to either -1 or 1 are explored. Sign patterns that almost require unique rank are also investigated.
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Royal and non-royal women in Achaemenid Persia (559 - 331 B.C.)Brosius, Maria January 1991 (has links)
No description available.
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Criteria Considered for Promotion in Rank of Junior College Non-Degree Technical and Vocational TeachersTaylor, Meril 12 1900 (has links)
The purpose of this study was to determine what criteria were being used or for use in determining rank assignment of non-degree technical-vocational junior college instructors.
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Cohomology Operations and the Toral Rank Conjecture for Nilpotent Lie AlgebrasAmelotte, Steven 09 January 2013 (has links)
The action of various operations on the cohomology of nilpotent Lie algebras is studied. In the cohomology of any Lie algebra, we show that the existence of certain nontrivial compositions of higher cohomology operations implies the existence of hypercube-like structures in cohomology, which in turn establishes the Toral Rank Conjecture for that Lie algebra. We provide examples in low dimensions and exhibit an infinite family of nilpotent Lie algebras of arbitrary dimension for which such structures exist. A new proof of the Toral Rank Conjecture is also given for free two-step nilpotent Lie algebras.
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Diagonal Ranks of SemigroupsBarkov, Ilia January 2013 (has links)
We introduce the notion of diagonal ranks of semigroups,which are numerical characteristics of semigroups. Some base propertiesof diagonal ranks are obtained. A new criterion for a monoidbeing a group is obtained using diagonal ranks.For some semigroup classes we investigate whether their diagonal acts are finitely generatedor not. For the semigroups of full transformations, partial transformations andbinary relations we find the general form of the generating pairs.
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