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and complete dependence of random variables, Ann. Math. Statist. 34 (1963) 1315–1321. [11] P. Mikusiński, H. Sherwood, M.D. Taylor, Probabilistic interpretations of copulas and their convex sums, in: G. Dall’Aglio, S. Kotz, G. Salinetti (Eds.), Advances in Probability Distributionswith GivenMarginals: Beyond the Copulas, Kluwer Dordrecht. 67 (1991) 95–112. [12] P. Mikusiński, H. Sherwood, M.D. Taylor, Shuffles of min, Stochastica 13 (1992) 61–74. [13] R.B. Nelsen, An Introduction to Copulas, second ed., Springer Verlag, 2006. [14] K. Pearson, D. Heron, On


Motivated by the nice characterization of copulas A for which d(A, At) is maximal as established independently by Nelsen [11] and Klement & Mesiar [7], we study maximum asymmetry with respect to the conditioning-based metric D1 going back to Trutschnig [12]. Despite the fact that D1(A, At) is generally not straightforward to calculate, it is possible to provide both, a characterization and a handy representation of all copulas A maximizing D1(A, At). This representation is then used to prove the existence of copulas with full support maximizing D1(A, At). A comparison of D1- and d-asymmetry including some surprising examples rounds off the paper.

J. reine angew. Math. 598 (2006), 185—210 DOI 10.1515/CRELLE.2006.074 Journal für die reine und angewandte Mathematik ( Walter de Gruyter Berlin New York 2006 Classification of Cuntz-Krieger algebras up to stable isomorphism By Gunnar Restor¤ at Copenhagen Abstract. In this paper we classify all Cuntz-Krieger algebras whose adjacency ma- trices satisfy condition (II) of Cuntz. The invariant arises naturally from the ideal lattice and the six-term exact sequences from K-theory, while the proof of this invariant being complete depends on recent results on flow


The goal of the study was verification of fat mass and obesity-associated (FTO) gene polymorphisms as significant risk factors of obesity in the population of Polish children. Body mass index (BMI) and DNA were evaluated, where DNA was extracted from saliva, collected from 213 children at the age of 6-13 years. DNA was genotyped by PCR (polymerase chain reaction) and HRM (high resolution melting) techniques, as well as by direct sequencing. Three (3) FTO polymorphisms were identified: rs9939609, rs9926289 and rs76804286, the last polymorphism located between the first two. For the first time, absolute linkage disequilibrium (LD) of FTO gene rs9939609 and rs9926289 polymorphisms was confirmed in data for the Polish population (D’=1, r2=1). The lack of a complete dependence among the three single nucleotide polymorphisms (SNPs) of the FTO gene was a consequence of the concurrence of homozygotes with minor alleles A of rs9939609+rs9926289 of FTO (AA+AA) with major alleles of rs76804286 (GG). A case-control association analysis for BMI in obese children (n=51), as compared to normal-weight children (n=162), was based on the effects of genotypes homozygous for the minor alleles of the studied SNPs in recessive and codominant inheritance models (assuming an independent effect of each genotype). A comparison of children with normal BMI with obese children indicate a strong co-dominant effect of a genotype in homozygotes of minor alleles (AA+AA) of completely linked rs9939609+rs9926289 (OR at age 8.89 ± 1.54 years=4.87, 95% CI 1.81-13.12, p=0.002). An almost five-fold increase of obesity risk in the examined children indicates that the genetic factors, associated with excessive body weight gain, exert stronger effects in the early period of ontogenetic development vs. puberty and adulthood. The role of genetic factors in predisposing to obesity declines with age

errors due to anharmonicity, the obser- vations of such regularities in the values of L12/L2X or c with molecular structures are bound to help refinement of our knowledge of many of the molec- ular constants. A very interesting result arising f rom such observations is that the La elements show almost complete dependence upon molecular geom- etry and atomic masses at least in such simple cases. Reprint requests to Dr. C. P. Girijavallabhan, Department of Physics, University of Cochin, Cochin 682022, India. 1 A. Müller, N. Mohan, and U. Heidborn, Z. Naturforsch

accomplishment, but he has no grand thesis except for illustrating the new world experiences of the sixteenth century. Lacking an over- arching vision, the book never rises above being a repository for a lot of information. It is further hobbled by Kohler’s almost complete dependence on German language literature. In the introduction, he discusses the challenges of writing a global history and some of those historians who have attempted it. In the following chapters, he presents the reader with a competent narrative. Chapter one deals with Portugal and Spain and their

much stronger hand to the rulers than they did in Greece or Iran. But two crucial social formations, the state and the class, were not well established in the later Vedic age. Each of them needed solid material support and universal social recognition. The two basic ingredients of the state, a standing army and a regular taxation system, whose functionaries were paid out of the exchequer, were in the process of being establish- ed. This was done through priestly propaganda and rituals, which repeatedly stress- ed the complete dependence of the vaisyas and südras

increases as BMI increases so that BMI has a protective effect on hip fracture. cos(ϕ1(age, bmi)) → ±1 and cos(ϕ2(age, bmi)) → 0 indicates a nearly complete dependence on AGE. Conversely, as cos(ϕ1(age, bmi)) → 0 and cos(ϕ2(age, bmi)) → ±1 indicates a nearly complete dependence on BMI as the cause hip fracture. When women whose BMI is lower than 35, the risk of hip fracture is more likely to be caused by their low BMI and this effect is greater for younger women whose AGE are smaller than 864 months (72 years) old. The variances of the estimates of the SIOR can be

an atmosphere of nitrogen is created within the beaker7). When all the controls of the equipment have been accurately adjusted, the titration proper will take from 2 to 6 min. to complete (depending on the amount of free fatty acids in the sample). The stirrer is constantly operated while titrant is added to ensure a uniform distribution, but this does not have any noticeable effect on the efficiency of the photo-cell. When the titration is completed, the titration beaker is rinsed twice with isopropanol, and it is then ready for the next measure- ment. 5) l-(2

these assays and for interpretation of test results. However, upon further consideration, its complete dependence on the reference population and on the allowable censoring restricts its universal applicability and makes it short-lived. Fortunately, discussions around this topic will become obsolete the moment we clinically implement the first assay capable of measuring cTn with CV<20% in all subjects. Such assays are already available but are not yet ready for clinical prime time. The US Food and Drug Administration took this and other aspects of assay performance