and completedependence of random variables, Ann. Math. Statist. 34 (1963) 1315–1321.
 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.
 P. Mikusiński, H. Sherwood, M.D. Taylor, Shuffles of min, Stochastica 13 (1992) 61–74.
 R.B. Nelsen, An Introduction to Copulas, second ed., Springer Verlag, 2006.
 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  and Klement & Mesiar , we study maximum asymmetry with respect to the conditioning-based metric D1 going back to Trutschnig . 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
Journal für die reine und
( 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
completedepends 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 completedependence 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 completedependence 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 completedependence 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 completedependence on AGE. Conversely, as cos(ϕ1(age, bmi)) → 0 and
cos(ϕ2(age, bmi)) → ±1 indicates a nearly completedependence 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
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-
these assays and for interpretation of test results. However, upon further consideration, its completedependence 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