The average inter-crossing number of equilateral random walks and polygons

In this paper, we study the average inter-crossing number between two random walks and two random polygons in the three-dimensional space. The random walks and polygons in this paper are the so-called equilateral random walks and polygons in which each segment of the walk or polygon is of unit length. We show that the mean average inter-crossing number ICN between two equilateral random walks of the same length n is approximately linear in terms of n and we were able to determine the prefactor of the linear term, which is a = (3 In 2)/(8) approximate to 0.2599. In the case of two random polygons of length n, the mean average inter-crossing number ICN is also linear, but the prefactor of the linear term is different from that of the random walks. These approximations apply when the starting points of the random walks and polygons are of a distance p apart and p is small compared to n. We propose a fitting model that would capture the theoretical asymptotic behaviour of the mean average ICN for large values of p. Our simulation result shows that the model in fact works very well for the entire range of p. We also study the mean ICN between two equilateral random walks and polygons of different lengths. An interesting result is that even if one random walk (polygon) has a fixed length, the mean average ICN between the two random walks (polygons) would still approach infinity if the length of the other random walk (polygon) approached infinity. The data provided by our simulations match our theoretical predictions very well.

Asymmetric tunnels in P2MP LSPs as a label space reduction method

The objective of traffic engineering is to optimize network resource utilization. Although several works have been published about minimizing network resource utilization, few works have focused on LSR (label switched router) label space. This paper proposes an algorithm that takes advantage of the MPLS label stack features in order to reduce the number of labels used in LSPs. Some tunnelling methods and their MPLS implementation drawbacks are also discussed. The described algorithm sets up NHLFE (next hop label forwarding entry) tables in each LSR, creating asymmetric tunnels when possible. Experimental results show that the described algorithm achieves a great reduction factor in the label space. The presented works apply for both types of connections: P2MP (point-to-multipoint) and P2P (point-to-point)

A Label space reduction algorithm for P2MP LSPs using asymmetric tunnels

The aim of traffic engineering is to optimise network resource utilization. Although several works on minimizing network resource utilization have been published, few works have focused on LSR label space. This paper proposes an algorithm that uses MPLS label stack features in order to reduce the number of labels used in LSPs forwarding. Some tunnelling methods and their MPLS implementation drawbacks are also discussed. The algorithm described sets up the NHLFE tables in each LSR, creating asymmetric tunnels when possible. Experimental results show that the algorithm achieves a large reduction factor in the label space. The work presented here applies for both types of connections: P2MP and P2P

Discovering similarities in the time use patterns of the Spanish Autonomous Communities by Fuzzy techniques

In 2000 the European Statistical Office published the guidelines for developing theHarmonized European Time Use Surveys system. Under such a unified framework,the first Time Use Survey of national scope was conducted in Spain during 2002–03. The aim of these surveys is to understand human behavior and the lifestyle ofpeople. Time allocation data are of compositional nature in origin, that is, they aresubject to non-negativity and constant-sum constraints. Thus, standard multivariatetechniques cannot be directly applied to analyze them. The goal of this work is toidentify homogeneous Spanish Autonomous Communities with regard to the typicalactivity pattern of their respective populations. To this end, fuzzy clustering approachis followed. Rather than the hard partitioning of classical clustering, where objects areallocated to only a single group, fuzzy method identify overlapping groups of objectsby allowing them to belong to more than one group. Concretely, the probabilistic fuzzyc-means algorithm is conveniently adapted to deal with the Spanish Time Use Surveymicrodata. As a result, a map distinguishing Autonomous Communities with similaractivity pattern is drawn.Key words: Time use data, Fuzzy clustering; FCM; simplex space; Aitchison distance

Truncated robust distance for clinical laboratory safety data monitoring and assessment.

Laboratory safety data are routinely collected in clinical studies for safety monitoring and assessment. We have developed a truncated robust multivariate outlier detection method for identifying subjects with clinically relevant abnormal laboratory measurements. The proposed method can be applied to historical clinical data to establish a multivariate decision boundary that can then be used for future clinical trial laboratory safety data monitoring and assessment. Simulations demonstrate that the proposed method has the ability to detect relevant outliers while automatically excluding irrelevant outliers. Two examples from actual clinical studies are used to illustrate the use of this method for identifying clinically relevant outliers.

Free-breathing renal magnetic resonance angiography with steady-state free-precession and slab-selective spin inversion combined with radial k-space sampling and water-selective excitation.

The impact of radial k-space sampling and water-selective excitation on a novel navigator-gated cardiac-triggered slab-selective inversion prepared 3D steady-state free-precession (SSFP) renal MR angiography (MRA) sequence was investigated. Renal MRA was performed on a 1.5-T MR system using three inversion prepared SSFP approaches: Cartesian (TR/TE: 5.7/2.8 ms, FA: 85 degrees), radial (TR/TE: 5.5/2.7 ms, FA: 85 degrees) SSFP, and radial SSFP combined with water-selective excitation (TR/TE: 9.9/4.9 ms, FA: 85 degrees). Radial data acquisition lead to significantly reduced motion artifacts (P < 0.05). SNR and CNR were best using Cartesian SSFP (P < 0.05). Vessel sharpness and vessel length were comparable in all sequences. The addition of a water-selective excitation could not improve image quality. In conclusion, radial k-space sampling reduces motion artifacts significantly in slab-selective inversion prepared renal MRA, while SNR and CNR are decreased. The addition of water-selective excitation could not improve the lower CNR in radial scanning.

Coronary MR imaging using free-breathing 3D steady-state free precession with radial k-space sampling.

PURPOSE: To investigate the potential of free-breathing 3D steady-state free precession (SSFP) imaging with radial k-space sampling for coronary MR-angiography (MRA), coronary projection MR-angiography and coronary vessel wall imaging. MATERIALS AND METHODS: A navigator-gated free-breathing T2-prepared 3D SSFP sequence (TR = 6.1 ms, TE = 3.0 ms, flip angle = 120 degrees, field-of-view = 360 mm(2)) with radial k-space sampling (384 radials) was implemented for coronary MRA. For projection coronary MRA, this sequence was combined with a 2D selective aortic spin tagging pulse. Coronary vessel wall imaging was performed using a high-resolution inversion-recovery black-blood 3D radial SSFP sequence (384 radials, TR = 5.3 ms, TE = 2.7 ms, flip angle = 55 degrees, reconstructed resolution 0.35 x 0.35 x 1.2 mm(3)) and a local re-inversion pulse. Six healthy volunteers (two for each sequence) were investigated. Motion artifact level was assessed by two radiologists. Results: In coronary MRA, the coronary lumen was displayed with a high signal and high contrast to the surrounding lumen. Projection coronary MRA demonstrated selective visualization of the coronary lumen while surrounding tissue was almost completely suppressed. In coronary vessel wall imaging, the vessel wall was displayed with a high signal when compared to the blood pool and the surrounding tissue. No visible motion artifacts were seen. Conclusion: 3D radial SSFP imaging enables coronary MRA, coronary projection MRA and coronary vessel wall imaging with a low motion artifact level.

"We do have space in Lausanne. We have a large cemetery": The non-controversy of a non-existent Muslim burial ground

In the context of the administration of spaces assigned by municipalities for the burial of the dead, this article provides a critical analysis of the techniques for the governance of political collectives of citizens implemented by public authorities. More broadly, this article shows how funerary practices (i.e. the social practices surrounding death-the rituals, the legislation, etc.) can be used to develop a critical reading of the social relations that structure the social production of space. To this end, the authors use the conceptual tools provided by critical legal geography to explore the controversy surrounding the development of a 'carré confessionnel' (denominational area) within the Bois-de-Vaux Cemetery in Lausanne, Switzerland. Here, a focus on the techniques that allow 'nomosphere' technicians to convene a subset of the citizens within the public space reveals the administration of cemeteries as a means of governance, a method for mobilising bodies and a paradoxical means of managing flux.

Fast calculation of the CAC convolution algorithm using the multinomial distribution function

The authors focus on one of the methods for connection acceptance control (CAC) in an ATM network: the convolution approach. With the aim of reducing the cost in terms of calculation and storage requirements, they propose the use of the multinomial distribution function. This permits direct computation of the associated probabilities of the instantaneous bandwidth requirements. This in turn makes possible a simple deconvolution process. Moreover, under certain conditions additional improvements may be achieved

Chaos and order in the contemporary city. The impact of urban spatial structure on population density and commuting distance in Barcelona, 1986-2001.

One of the criticisms leveled at the model of dispersed city found all over the world is its unarticulated, random, and undifferentiated nature. To check this idea in the Barcelona Metropolitan Region, we estimated the impact of the urban spatial structure (CBD, subcenters and transportation infrastructures) over the population density and commuting distance. The results are unfavorable to the hypothesis of the increasing destructuring of cities given that the explanatory capacity of both functions improves over time, both when other control variables are not included and when they are included.

Studies in stoichiometry with compositional data

Geochemical data that is derived from the whole or partial analysis of various geologic materialsrepresent a composition of mineralogies or solute species. Minerals are composed of structuredrelationships between cations and anions which, through atomic and molecular forces, keep the elementsbound in specific configurations. The chemical compositions of minerals have specific relationships thatare governed by these molecular controls. In the case of olivine, there is a well-defined relationshipbetween Mn-Fe-Mg with Si. Balances between the principal elements defining olivine composition andother significant constituents in the composition (Al, Ti) have been defined, resulting in a near-linearrelationship between the logarithmic relative proportion of Si versus (MgMnFe) and Mg versus (MnFe),which is typically described but poorly illustrated in the simplex.The present contribution corresponds to ongoing research, which attempts to relate stoichiometry andgeochemical data using compositional geometry. We describe here the approach by which stoichiometricrelationships based on mineralogical constraints can be accounted for in the space of simplicialcoordinates using olivines as an example. Further examples for other mineral types (plagioclases andmore complex minerals such as clays) are needed. Issues that remain to be dealt with include thereduction of a bulk chemical composition of a rock comprised of several minerals from which appropriatebalances can be used to describe the composition in a realistic mineralogical framework. The overallobjective of our research is to answer the question: In the cases where the mineralogy is unknown, arethere suitable proxies that can be substituted?Kew words: Aitchison geometry, balances, mineral composition, oxides

Enjeux éthiques des nouvelles technologies de la reproduction : une conception de la justice à l'interface de l'éthique du "care" et de l'approche des "capabilités"

L'émergence des nouvelles technologies de la reproduction (NTR) est allée de pair avec un certain nombre de discours. Un discours promettant d'une part une extension de la palette de choix reproductifs des individus, une extension de leur liberté et de leur autonomie reproductives, dont la forme la plus extrême peut se traduire par la formule : un enfant quand je veux et comme je veux. D'autre part, un discours annonçant une série de « catastrophes » à venir, telles que l'effondrement de l'institution de la famille et la modification de l'espèce humaine. En d'autres termes, une tension entre promesses et catastrophes qui place les sociétés contemporaines face à de nombreux défis sociaux, politiques et éthiques, notamment quant à la question de la régulation de la PMA (procréation médicalement assistée) : qui peut y avoir accès ? Quelles techniques doit-on autoriser ? Ou au contraire limiter ? Tant de questions auxquelles aucune réponse simple et évidente n'existe. La diversité des réponses législatives quant à ces questions illustre cette complexité. L'éthique peut, ici, jouer un rôle fondamental. Sans toutefois prétendre donner des réponses toutes faites et facilement applicables, elle offre un espace de réflexion, le privilège de prendre une certaine distance face à des enjeux contemporains. C'est dans cette perspective que nous avons ancré ce travail de recherche en questionnant les enjeux éthiques de la PMA à partir d'une perspective de justice. Toutefois, au sein des études en bioéthique, majoritairement issues de la tradition libérale, la tension énoncée précédemment mène la bioéthique à justifier un certain nombre d'inégalités plutôt que de veiller à les dépasser. Ainsi, une évaluation de la pratique de la PMA à partir d'une perspective de la justice, exige, au préalable, une réévaluation du concept même de justice. Ce faisant, par une articulation entre l'éthique du care de Joan Tronto et l'approche des capabilités de Martha Nussbaum qui placent la vulnérabilité au coeur de la personne, nous avons proposé une conception de la justice fondée sur une anthropologie de la vulnérabilité. Cette conception nous permet d'identifier, dans le cadre de la pratique de la PMA en Suisse et en partant de la loi sur la procréation assistée (LPMA), les constructions normatives qui mènent à la non-reconnaissance et, ce faisant, à la mise à l'écart, de certaines formes de vulnérabilité : une vulnérabilité générique et une vulnérabilité socio-économique. Traitant la question de la vulnérabilité générique principalement, nos analyses ont une incidence sur les conceptions de la famille, du bien de l'enfant, de la femme et de la nature, telles qu'elles sont actuellement véhiculées par une conception naturalisée de la PMA. Répondre aux vulnérabilités identifiées, en veillant à leur donner une place, signifie alors déplacer ces conceptions naturalisées, afin que les vulnérabilités soient intégrées aux pratiques sociales et que les exigences de justice soient ainsi remplies. - The emergence of assisted reproductive technologies (ART) came along with several discourses. On the one hand a discourse promising an extension of the individuals' reproductive choices, their procreative liberty and autonomy. On the other hand a discourse announced a series of disasters to come such as the collapse of the family institution and the modification of human kind. In other words, a growing tension appears between promises and disasters and contemporary societies are facing inevitable social, political and ethical challenges, in particular with regard to the issue of ART regulation: who has access? What procedures should be authorized? Which ones should be limited? These complex questions have no simple or obvious answers. The variety of legislative responses to these questions highlights complexity. Ethics can play a fundamental role, and without claiming to give simple answers, also offer a space for reflection as well as the privilege to distance itself with regard to contemporary issues. It is in this perspective that this study questions the ethical considerations of ART in a perspective of justice. However, in previous studies in bioethics mainly following a liberal tradition, previously mentioned tension has lead bioethics to justify some inequalities instead of trying to overcome them. As a consequence, evaluating practices of ART from a perspective of justice requires to first reevaluate the concept of justice itself. In doing so we offer a conception of justice founded on the anthropology of vulnerability. This conception draws on an articulation of the ethic of care of Joan Tronto and the capability approach of Martha Nussbaum, which places vulnerability at the center of the person. This conception allows us to identify, within the framework of ARTS in Switzerland and starting with the laws of medically assisted procreation (LPMA), some normative constructions. These constructions lead to the non-recognition and the disregard of some forms of vulnerability: a generic vulnerability as well as socio-economic counterpart. Focusing mainly on the issue of generic vulnerability, our analysis has implications for the conceptions of family, the best interests of the child, woman, and nature in the way they are defined in a naturalized conception of ART. Responding to such failures by taking into account these vulnerabilities thus means to move these conceptions in order for vulnerabilities to be integrated in social practices and requirements for justice to be fulfilled.

Space-time relatedness and Hamilton's rule for long-lasting behaviors in viscous populations.

Genes affect not only the behavior and fitness of their carriers but also that of other individuals. According to Hamilton's rule, whether a mutant gene will spread in the gene pool depends on the effects of its carrier on the fitness of all individuals in the population, each weighted by its relatedness to the carrier. However, social behaviors may affect not only recipients living in the generation of the actor but also individuals living in subsequent generations. In this note, I evaluate space-time relatedness coefficients for localized dispersal. These relatedness coefficients weight the selection pressures on long-lasting behaviors, which stem from a multigenerational gap between phenotypic expression by actors and the resulting environmental feedback on the fitness of recipients. Explicit values of space-time relatedness coefficients reveal that they can be surprisingly large for typical dispersal rates, even for hundreds of generations in the future.

Quantifying rock fabrics: a test of autocorrelation of the spatial distribution of cristals

A novel test of spatial independence of the distribution of crystals or phases in rocksbased on compositional statistics is introduced. It improves and generalizes the commonjoins-count statistics known from map analysis in geographic information systems.Assigning phases independently to objects in RD is modelled by a single-trial multinomialrandom function Z(x), where the probabilities of phases add to one and areexplicitly modelled as compositions in the K-part simplex SK. Thus, apparent inconsistenciesof the tests based on the conventional joins{count statistics and their possiblycontradictory interpretations are avoided. In practical applications we assume that theprobabilities of phases do not depend on the location but are identical everywhere inthe domain of de nition. Thus, the model involves the sum of r independent identicalmultinomial distributed 1-trial random variables which is an r-trial multinomialdistributed random variable. The probabilities of the distribution of the r counts canbe considered as a composition in the Q-part simplex SQ. They span the so calledHardy-Weinberg manifold H that is proved to be a K-1-affine subspace of SQ. This isa generalisation of the well-known Hardy-Weinberg law of genetics. If the assignmentof phases accounts for some kind of spatial dependence, then the r-trial probabilitiesdo not remain on H. This suggests the use of the Aitchison distance between observedprobabilities to H to test dependence. Moreover, when there is a spatial uctuation ofthe multinomial probabilities, the observed r-trial probabilities move on H. This shiftcan be used as to check for these uctuations. A practical procedure and an algorithmto perform the test have been developed. Some cases applied to simulated and realdata are presented.Key words: Spatial distribution of crystals in rocks, spatial distribution of phases,joins-count statistics, multinomial distribution, Hardy-Weinberg law, Hardy-Weinbergmanifold, Aitchison geometry