Homomorphisms from functional equations: the Goldie equation

The theory of regular variation, in its Karamata and Bojani´c-Karamata/de Haan forms, is long established and makes essential use of the Cauchy functional equation. Both forms are subsumed within the recent theory of Beurling regular variation, developed elsewhere. Various generalizations of the Cauchy equation, including the Gołab–Schinzel functional equation (GS) and Goldie's equation (GBE) below, are prominent there. Here we unify their treatment by algebraicization: extensive use of group structures introduced by Popa and Javor in the 1960s turn all the various (known) solutions into homomorphisms, in fact identifying them 'en passant', and show that (GS) is present everywhere, even if in a thick disguise

Associations of autozygosity with a broad range of human phenotypes

In many species, the offspring of related parents suffer reduced reproductive success, a phenomenon known as inbreeding depression. In humans, the importance of this effect has remained unclear, partly because reproduction between close relatives is both rare and frequently associated with confounding social factors. Here, using genomic inbreeding coefficients (FROH) for >1.4 million individuals, we show that FROH is significantly associated (p < 0.0005) with apparently deleterious changes in 32 out of 100 traits analysed. These changes are associated with runs of homozygosity (ROH), but not with common variant homozygosity, suggesting that genetic variants associated with inbreeding depression are predominantly rare. The effect on fertility is striking: FROH equivalent to the offspring of first cousins is associated with a 55% decrease [95% CI 44–66%] in the odds of having children. Finally, the effects of FROH are confirmed within full-sibling pairs, where the variation in FROH is independent of all environmental confounding

Estimativa da assimilação potencial de carbono em dosséis de espécies de braquiária

O objetivo deste trabalho foi quantificar a fotossíntese foliar, durante o período de rebrotação, e estimar a fotossíntese de dosséis de duas espécies e cinco cultivares de braquiária, com base na arquitetura foliar e no ambiente luminoso no verão e inverno. Foram avaliadas quatro cultivares de Urochloa brizantha (Marandu, Xaraés, Arapoty e Capiporã) e uma de U. decumbens (Basilisk). Utilizou-se o delineamento de blocos ao acaso, com quatro repetições. As parcelas foram irrigadas e adubadas com 220 kg ha-1 por ano de N e K2O. Foi avaliada a taxa de assimilação de carbono nas folhas no dossel, o índice de área foliar (IAF) e a interceptação luminosa (IL). A fotossíntese foliar não variou entre cultivares ou estações, e houve assimilação de 0,91 mg m-2 s-1 de CO2 . Na fase inicial de rebrotação, o potencial fotossintético dos dosséis de verão e inverno foi baixo (0,80 mg m-2 s-1 de CO2); entretanto, dosséis forrageiros no inverno apresentaram maior aumento da assimilação de carbono por unidade de IAF. A fotossíntese de dossel, no final do período de rebrotação, foi 15% menor no inverno em comparação ao verão, e as correlações entre fotossíntese foliar e de dossel com a produção de forragem foram baixas. O IAF influencia fortemente os resultados do modelo de simulação da fotossíntese de dossel de espécies de braquiária

Genome-wide analysis of multi-ancestry cohorts identifies new loci influencing intraocular pressure and susceptibility to glaucoma

Ophthalmic researc