Some observations on three classical BIBD constructions

Some observations on classical QSAR

Classical QSAR began almost 30 years ago. This article briefly traces its development, use and impact in relation to drug design and medicinal chemistry. Particular aspects discussed include hydrophobicity, relative potency in a series, tissue selectivity, central nervous system penetration, pharmacokinetics, potency optimization, bioisosterism, mechanistic insights, synthesis termination, rece...

Three Cases on Possession—Some Further Observations

Some Observations on Products of Characters of Finite Classical Groups

This is an extended version of the talk given by the first author at the conference. We report on the outcome of some experiments with the decomposition of products of (generalized) characters of some classical groups. In particular some results of the PhD-thesis of Dirk Mattig on the products of unipotent characters of general linear groups are presented and commented. In order to obtain simil...

Some observations on quantum correlations exceeding classical expectations

The quantum correlations of two or more entangled particles present the possibility of stronger-than-classical outcome coincidences. We review the standard cases of two and four two-state particles. We also investigate two-partite correlations of spin one and spin three-half quanta in a state satisfying a uniqueness property in the sense that knowledge of an outcome of one particle observable e...

Some Observations on Dirac Measure-Preserving Transformations and their Results

Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac ...