New perspectives in the use of ink evidence in forensic science: Part II. Development and testing of mathematical algorithms for the automatic comparison of ink samples analysed by HPTLC

In the first part of this research, three stages were stated for a program to increase the information extracted from ink evidence and maximise its usefulness to the criminal and civil justice system. These stages are (a) develop a standard methodology for analysing ink samples by high-performance thin layer chromatography (HPTLC) in reproducible way, when ink samples are analysed at different time, locations and by different examiners; (b) compare automatically and objectively ink samples; and (c) define and evaluate theoretical framework for the use of ink evidence in forensic context. This report focuses on the second of the three stages. Using the calibration and acquisition process described in the previous report, mathematical algorithms are proposed to automatically and objectively compare ink samples. The performances of these algorithms are systematically studied for various chemical and forensic conditions using standard performance tests commonly used in biometrics studies. The results show that different algorithms are best suited for different tasks. Finally, this report demonstrates how modern analytical and computer technology can be used in the field of ink examination and how tools developed and successfully applied in other fields of forensic science can help maximising its impact within the field of questioned documents.

Conceptions hiérarchiques des groupes : de la nature à la culture

RESUME En faisant référence à la notion de préjugé idéologique, ce travail s'intéresse à la manifestation d'une croyance qui oppose la culture à la nature lors de la classification et l'évaluation des individus. Nous proposons que cette croyance se manifeste par l'attribution de traits spécifiques aux groupes (traits culturels et naturels) et que sa fonction est de justifier la suprématie de l'homme bourgeois blanc occidental sur autrui. Ainsi, nous abordons la perception de plusieurs groupes ethniques de la part d'individus suisses. Notre travail est organisé en trois parties. La première partie présente une étude exploratoire dont l'objectif est de cerner les phénomènes étudiés. Les résultats mettent en évidence que l'attribution de traits culturels .positifs aux groupes ethniques est relativement indépendante de l'attribution de traits naturels positifs àceux-ci: les groupes perçus comme les plus culturels sont également perçus comme les plus naturels. De plus, l'attribution de traits naturels positifs semble sous-tendre une attitude favorable envers les groupes. La deuxième partie reprend les critères qu'identifient les notions de culture et de nature. Les études 2, 3 et 4 ont mis en évidence qu'il y au continuum dans la signification des traits par rapport à .l'être humain et à l'animal. Cela nous a amené sélectionner des traits attribués uniquement à l' être humain (culture) et des traits attribués davantage à l' animal qu'à l'être humain (nature). Les études 5 et 6 de la troisième partie montrent que, lorsqu'il est question de groupes ethniques, l'endogroupe dominant et ses alliés sont associés à la culture positive, alors que des exogroupes spécifiques sont associés à la nature positive (des exogroupes sujets au paternalisme). L'étude 7 confirme les résultats concernant l'endogroupe dominant et ses alliés avec des groupes fictifs et il met en évidence que les membres du groupe dominant utilisent la notion de culture positive pour hiérarchiser les groupes. L'attribution de nature positive n'est pas prise en compte pour hiérarchiser des groupes fictifs. Pour conclure, les études montrent qu'il n'y a pas d'opposition entre la culture et la nature (positives): les membres du groupe ethnique dominant utilisent la notion de culture pour classifier et évaluer les individus sur une hiérarchie de valeurs. La notion de nature n'est pas utilisée pour hiérarchiser les groupes, mais elle identifie des exogroupes spécifiques.

The influence of learning on evolution: a mathematical framework.

The Baldwin effect can be observed if phenotypic learning influences the evolutionary fitness of individuals, which can in turn accelerate or decelerate evolutionary change. Evidence for both learning-induced acceleration and deceleration can be found in the literature. Although the results for both outcomes were supported by specific mathematical or simulation models, no general predictions have been achieved so far. Here we propose a general framework to predict whether evolution benefits from learning or not. It is formulated in terms of the gain function, which quantifies the proportional change of fitness due to learning depending on the genotype value. With an inductive proof we show that a positive gain-function derivative implies that learning accelerates evolution, and a negative one implies deceleration under the condition that the population is distributed on a monotonic part of the fitness landscape. We show that the gain-function framework explains the results of several specific simulation models. We also use the gain-function framework to shed some light on the results of a recent biological experiment with fruit flies.

Aitchison Geometry for Probability and Likelihood as a new approach to mathematical statistics

The Aitchison vector space structure for the simplex is generalized to a Hilbert space structure A2(P) for distributions and likelihoods on arbitrary spaces. Centralnotations of statistics, such as Information or Likelihood, can be identified in the algebraical structure of A2(P) and their corresponding notions in compositional data analysis, such as Aitchison distance or centered log ratio transform.In this way very elaborated aspects of mathematical statistics can be understoodeasily in the light of a simple vector space structure and of compositional data analysis. E.g. combination of statistical information such as Bayesian updating,combination of likelihood and robust M-estimation functions are simple additions/perturbations in A2(Pprior). Weighting observations corresponds to a weightedaddition of the corresponding evidence.Likelihood based statistics for general exponential families turns out to have aparticularly easy interpretation in terms of A2(P). Regular exponential families formfinite dimensional linear subspaces of A2(P) and they correspond to finite dimensionalsubspaces formed by their posterior in the dual information space A2(Pprior).The Aitchison norm can identified with mean Fisher information. The closing constant itself is identified with a generalization of the cummulant function and shown to be Kullback Leiblers directed information. Fisher information is the local geometry of the manifold induced by the A2(P) derivative of the Kullback Leibler information and the space A2(P) can therefore be seen as the tangential geometry of statistical inference at the distribution P.The discussion of A2(P) valued random variables, such as estimation functionsor likelihoods, give a further interpretation of Fisher information as the expected squared norm of evidence and a scale free understanding of unbiased reasoning

A mathematical excursion: From the three-door problem to a Cantor-type perfect set

We start with a generalization of the well-known three-door problem:the n-door problem. The solution of this new problem leads us toa beautiful representation system for real numbers in (0,1] as alternated series, known in the literature as Pierce expansions. A closer look to Pierce expansions will take us to some metrical properties of sets defined through the Pierce expansions of its elements. Finally, these metrical properties will enable us to present 'strange' sets, similar to the classical Cantor set.

Property as an economic concept: Reconciling legal and economic conceptions of property rights in a Coasean framework

Adopting a simplistic view of Coase (1960), most economic analyses of property rightsdisregard both the key advantage that legal property rights (that is, in rem rights) provide torightholders in terms of enhanced enforcement, and the difficulties they pose to acquirers interms of information asymmetry about legal title. Consequently, these analyses tend to overstatethe role of "private ordering" and disregard the two key elements of property law: first, theessential conflict between property (that is, in rem) enforcement and transaction costs; and,second, the institutional solutions created to overcome it, mainly contractual registries capable ofmaking truly impersonal (that is, asset-based) trade viable when previous relevant transactionson the same assets are not verifiable by judges. This paper fills this gap by reinterpreting bothelements within the Coasean framework and thus redrawing the institutional foundations of bothproperty and corporate contracting.

The daily market for funds in Europe: Mathematical appendix

This paper includes the derivations of the main expressions in the paper ``The Daily Market for Funds in Europe: Has Something Changed With the EMU?'' by G. Pérez Quirós and H. Rodríguez Mendizábal.

Resurgence of HIV infection among men who have sex with men in Switzerland: mathematical modelling study.

BACKGROUND: New HIV infections in men who have sex with men (MSM) have increased in Switzerland since 2000 despite combination antiretroviral therapy (cART). The objectives of this mathematical modelling study were: to describe the dynamics of the HIV epidemic in MSM in Switzerland using national data; to explore the effects of hypothetical prevention scenarios; and to conduct a multivariate sensitivity analysis. METHODOLOGY/PRINCIPAL FINDINGS: The model describes HIV transmission, progression and the effects of cART using differential equations. The model was fitted to Swiss HIV and AIDS surveillance data and twelve unknown parameters were estimated. Predicted numbers of diagnosed HIV infections and AIDS cases fitted the observed data well. By the end of 2010, an estimated 13.5% (95% CI 12.5, 14.6%) of all HIV-infected MSM were undiagnosed and accounted for 81.8% (95% CI 81.1, 82.4%) of new HIV infections. The transmission rate was at its lowest from 1995-1999, with a nadir of 46 incident HIV infections in 1999, but increased from 2000. The estimated number of new infections continued to increase to more than 250 in 2010, although the reproduction number was still below the epidemic threshold. Prevention scenarios included temporary reductions in risk behaviour, annual test and treat, and reduction in risk behaviour to levels observed earlier in the epidemic. These led to predicted reductions in new infections from 2 to 26% by 2020. Parameters related to disease progression and relative infectiousness at different HIV stages had the greatest influence on estimates of the net transmission rate. CONCLUSIONS/SIGNIFICANCE: The model outputs suggest that the increase in HIV transmission amongst MSM in Switzerland is the result of continuing risky sexual behaviour, particularly by those unaware of their infection status. Long term reductions in the incidence of HIV infection in MSM in Switzerland will require increased and sustained uptake of effective interventions.

Les conceptions du dialogue et leurs sources chez Lev Jakubinskij et Valentin Volochinov

Le texte «De la parole dialogale» écrit par Lev Jakubinskij est considéré par un certain nombre de chercheurs comme la source principale de la conception du dialogue chez Valentin Volochinov. Cet article remet en question la légitimité de cette thèse. L'analyse détaillée des notions de dialogue élaborées par Jakubinskij et Volochinov montre que leurs bases théoriques ne coïncident pas. Si Jakubinskij s'appuie sur la psychologie dite objective (la réflexologie), Volochinov élabore sa conception du dialogue sur une base sociologique. Les travaux des sociologues marxistes et non marxistes constituent la source principale de sa notion de dialogue

Evaluating solutions to process, view and listen mathematical formula within an accessible context

Proves de conversió de fòrmules matemàtiques des d'editors de text ofimàtics i des de Làtex. Visionat en HTML i MathML. El millor resultat s'aconsegueix amb MSWord+MathType i IE+MathPlayer.

Long-term fertilizer field trials: comparison of three mathematical response models

Selostus: Lannoituksen pitkäaikaiset kenttäkokeet: kolmen matemaattisen mallin vertailu