Title Participants "Comment on 'A qualitative approach to Bayes' theorem' by Medow and Lucey" "AR Henríquez, J Moreira, Jozef Van den Ende" "Argumenten en patiënten; het theorema van Bayes" "Jozef Van den Ende, A Derese, H Van Puymbroeck, J Boeckx" "Graded pointed Hopf algebras, PBW bases and noncommutative binomial theorem" "Huan JIA" "One of pure structure constructions of Hopf algebras is to generate a free Hopf algebra (or a bialgebra) by a coalgebra. Such a free Hopf algebra is usually too big to have nice properties. So we usually consider its quotient Hopf algebras. This construction method produces a large number of examples of pointed Hopf algebras, such as quantum groups. This PhD thesis consists of two parts: (1) In order to study the quotient Hopf algebras (different from quantum groups) of the pointed free bialgebra $\mathcal{T}$ with PBW bases and GK-dimensions, we use the Lyndon words and the Lyndon-Shirshov basis to study the shuffle type polynomials determining the coproducts of those quotients. In this way, we obtain a free noncommutative binomial theorem, which is strongly related to the well-known Bell polynomials. The related combinatorial results show that the free noncommutative Fa\`a di Bruno bialgebra is a sub-bialgebra of $\mathcal{T}$, and the quotient bialgebra $\overline{\mathcal{T}}$ is an Ore extension of the well-known Fa\`a di Bruno bialgebra. Moreover, a more reasonable noncommutative version of the Fa\`a di Bruno bialgebra is established. Further, we obtain a chain of quotient Hopf algebras of $\overline{\mathcal{T}}$ with finite GK-dimensions over the field of positive characteristic. We study homological properties and the coradical filtrations of those quotients. Based on the relation of $\mathcal{T}$ and the Fa\`a di Bruno bialgebra, we generalize the Fa\`a di Bruno Hopf algebra and related binomial formula from the point view of pointed Hopf algebras. (2) Rosso and Kharchenko gave the PBW bases for graded pointed Hopf algebras generated by grouplikes and skew-primitives; Zhou--Shen--Lu gave the PBW bases and structure of graded connected Hopf algebras. Inspired by their work, we use the quantum Lyndon-Shirshov basis to study the PBW bases and structure of graded pointed Hopf algebras of diagonal type not necessarily generated by grouplikes and skew-primitives, which include quantum groups, graded connected Hopf algebras, the generalized Fa\`a di Bruno Hopf algebras, etc.." "BFpack : flexible bayes factor testing of scientific theories in R" "Joris Mulder, Donald R. Williams, Xin Gu, Andrew Tomarken, Florian Boing-Messing, Anton Olsson-Collentine, Marlyne Meijerink, Janosch Menke, Robbie van Aert, Jean-Paul Fox, Herbert Hoijtink, Yves Rosseel, Eric-Jan Wagenmakers, Caspar van Lissa" "Prior sensitivity in theory testing: An apologia for the Bayes factor" "Wolf Vanpaemel" "A commonly voiced concern with the Bayes factor is that unlike many other Bayesian and non-Bayesian quantitative measures of model evaluation it is highly sensitive to the parameter prior This paper argues that when dealing with psychological models that are quantitatively instantiated theories being sensitive to the prior is an attractive feature of a model evaluation measure This assertion follows from the observation that in psychological models parameters are not completely unknown but correspond to psychological variables about which theory often exists This theory can be formally captured in the prior range and prior distribution of the parameters indicating which parameter values are allowed likely unlikely and forbidden Because the prior is a vehicle for expressing psychological theory it should like the model equation be considered as an integral part of the model It is argued that the combined practice of building models using informative priors and evaluating models using prior sensitive measures advances knowledge (C) 2010 Elsevier Inc All rights reserved" "Bayes and diagnostic testing" "E. Lesaffre, Niko Speybroeck, D. Berkvens" "Halogen Bonding from a Hard and Soft Acids and Bases Perspective: Investigation by Using Density Functional Theory Reactivity Indices" "Balasz Pintér, Nick Nagels, Wouter A. Herrebout" "Halogen bonds between the trifluoromethyl halides CF3Cl, CF3Br and CF3I, and dimethyl ether, dimethyl sulfide, trimethylamine and trimethyl phosphine were investigated using Pearson's hard and soft acids and bases (HSAB) concept with conceptual DFT reactivity indices, the Ziegler-Rauk-type energy-decomposition analysis, the natural orbital for chemical valence (NOCV) framework and the non-covalent interaction (NCI) index. It is found that the relative importance of electrostatic and orbital (charge transfer) interactions varies as a function of both the donor and acceptor molecules. Hard and soft interactions were distinguished and characterised by atomic charges, electrophilicity and local softness indices. Dual-descriptor plots indicate an orbital sigma hole on the halogen similar to the electrostatic s hole manifested in the molecular electrostatic potential. The predicted high halogen-bond-acceptor affinity of N-heterocyclic carbenes was evidenced in the highest complexation energy for the hitherto unknown CF3I center dot NHC complex. The dominant NOCV orbital represents an electron-density deformation according to a n ->sigma*-type interaction. The characteristic signal found in the reduced density gradient versus electron-density diagram corresponds to the non-covalent interaction between contact atoms in the NCI plots, which is the manifestation of halogen bonding within the NCI theory. The unexpected C-X bond strengthening observed in several cases was rationalised within the molecular orbital framework." "Le néopythagorisme, les Baals syriens et les divinités planétaires. Les théories de Cumont et le cas de la Vie dU+2019Apollonius de Tyane" "Danny Praet" "This paper discusses the theories of Franz Cumont on the influence of Stoics and Neopythagoreans on the diffusion of astrology and the emergence of astral mysticism in the Roman world and links this to a new religious and philosophical interpretation of the Life of Apollonius of Tyana." "Towards a new classification of the Arthoniales (Ascomycota) based on a three-gene phylogeny focussing on the genus Opegrapha" "Damien Ertz, Jolanta Miadlikowska, François Lutzoni, Steven Dessein, Olivier Raspé, Nathalie Vigneron, R.H. Hofstetter, Paul Diederich" "A multi-locus phylogenetic study of the order Arthoniales is presented here using the nuclear ribosomal large subunit (nuLSU), the second largest subunit of RNA polymerase II (RPB2) and the mitochondrial ribosomal small subunit (mtSSU). These genes were sequenced from 43 specimens or culture isolates representing 33 species from this order, 16 of which were from the second largest genus, Opegrapha. With the inclusion of sequences from GenBank, ten genera and 35 species are included in this study, representing about 18% of the genera and ca 3% of the species of this order. Our study revealed the homoplastic nature of morphological characters traditionally used to circumscribe genera within the Arthoniales, such as exciple carbonization and ascomatal structure. The genus Opegrapha appears polyphyletic, species of that genus being nested in all the major clades identified within Arthoniales. The transfer of O. atra and O. calcarea to the genus Arthonia will allow this genus and family Arthoniaceae to be recognized as monophyletic. The genus Enterographa was also found to be polyphyletic. Therefore, the following new combinations are needed: Arthonia calcarea (basionym: O. calcarea), and O. anguinella (basionym: Stigmatidium anguinellum); and the use of the names A. atra and Enterographa zonata are proposed here. The simultaneous use of a mitochondrial gene and two nuclear genes led to the detection of what seems to be a case of introgression of a mitochondrion from one species to another (mitochondrion capture; cytoplasmic gene flow) resulting from hybridization." "Phylogenetic utility of the AP3/DEF K-domain and its molecular evolution in Impatiens (Balsaminaceae)" "Steven B. Janssens, K Geuten, T. Viaene, Y.-M. Yuan, Y. Song, E. Smets" "APETALA3 (AP3)/DEFICIENS (DEF) is a MADS-box transcription factor that is involved in establishing the identity of petal and stamen floral organs. The AP3/DEF gene lineage has been extensively examined throughout the angiosperms in order to better understand its role in floral diversity and evolution. As a result, a large number of cloned AP3/DEF orthologues are available, which can be used for the design of taxon specific primers for phylogeny reconstruction of close relatives of the group of interest. Following this reasoning, we investigated the phylogenetic utility of the two AP3/DEF paralogues (ImpDEF1 and ImpDEF2) that were recently identified in the genus Impatiens (Balsaminaceae). K-domain introns 4 and 5 of both AP3/DEF duplicates were amplified and sequenced for 59 Impatiens species. Phylogenetic analyses of the separated and combined ImpDEF1 and ImpDEF2 data sets result in highly congruent topologies with the previously obtained chloroplast atpB-rbcL data set. Combination of chloroplast and nuclear matrices results in a well-supported evolutionary hypothesis of Impatiens. Our results show that introns 4 and 5 in AP3/DEF-like genes are a valuable source of characters for phylogenetic studies at the infrageneric level. © 2006 Elsevier Inc. All rights reserved."