Based on the total π-electron energies Eπs of Hückel Molecular Orbital (HMO) method for all the possible isomers of conjugated acyclic polyenes (C₂nH₂n+2) up to n = 7, the structure-stability relation of the possible isomers was analyzed. It was shown that the mean length of conjugation L can roughly predict the ordering of stability among isomers, while the Z-index, or Hosoya-index, can almost...

The Mathematics Genealogy Project (http://www. genealogy.ams.org/) is a database of over 150 000 scholars with advanced degrees in mathematics and related fields. Entries include dissertation titles, adviser(s), graduation years, degree-granting institutions, and advisees. The MGP is popular among mathematicians, and it can be used to trace academic lineages through luminaries like Courant, Hil...

We study the genealogy of so-called immortal branching processes, i.e. branching processes where each individual upon death is replaced by at least one new individual, and conclude that their marginal distributions are compound geometric. The result also implies that the limiting distributions of properly scaled supercritical branching processes are compound geometric. We exemplify our results ...

Increasing public interest in direct-to-consumer (DTC) genetic ancestry testing has been accompanied by growing concern about issues ranging from the personal and societal implications of the testing to the scientific validity of ancestry inference. The very concept of ‘‘ancestry’’ is subject to misunderstanding in both the general and scientific communities. What do we mean by ancestry? How ex...

Without reconstructing its genealogy, which then means history, a political-ideological phenomenon such as fascism, of Italy was the firstborn between 1910s and 1920s, can never be fully understood. Its history already provides, at least in part, interpretation, any case helps to understand phenomenon. Genealogy phenomenology are therefore type analysis that we will conduct following pages scie...

The Gelao nationality is one of the oldest minorities in southern China recognized by academic circles. However, up to now, genealogical research still very weak. reason that data extremely scarce at present, which seriously affects development relevant research. Therefore, it urgent collect and sort out genealogy a comprehensive systematic manner. will use following methods: combination docume...

Identifying bug fixes and using them to estimate or even predict software quality is a frequent task when mining version archives. The number of applied bug fixes serves as code quality metric identifying defect-prone and non-defect-prone code artifacts. But when is a set of applied code changes, we call it change set, considered a bug fix and which metrics should be used to building high quali...