The H\"older-Poincar\'e Duality for Lq,pL_{q,p}-cohomology

We prove the following version of Poincare duality for reduced $L_{q,p}$-cohomology: For any $1<q,p<\infty$, the $L_{q,p}$-cohomology of a Riemannian manifold is in duality with the interior $L_{p',q'}-cohomology for$1/p+1/p'=1$,$1/q+1/q'=1$.Comment: 21 page

Особенности и моделирование процесса нанорезания

The main points and features of nanomachining were covered in this article. Some examples of Molecular Dynamics simulations in nanometric machining were given as well.В работе освещены основные вопросы и особенности процесса нанорезания и приведены примеры результатов молекулярно-динамического моделирования наноразмерной обработки

Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF

The Physics Program for the Deep Underground Neutrino Experiment (DUNE) at the Fermilab Long-Baseline Neutrino Facility (LBNF) is described

NurA, a novel 5′–3′ nuclease gene linked to rad50 and mre11 homologs of thermophilic Archaea

We isolated and characterized a new nuclease (NurA) exhibiting both single-stranded endonuclease activity and 5′–3′ exonuclease activity on single-stranded and double-stranded DNA from the hyperthermophilic archaeon Sulfolobus acidocaldarius. Nuclease homologs are detected in all thermophilic archaea and, in most species, the nurA gene is organized in an operon-like structure with rad50 and mre11 archaeal homologs. This nuclease might thus act in concert with Rad50 and Mre11 proteins in archaeal recombination/repair. To our knowledge, this is the first report of a 5′–3′ nuclease potentially associated with Rad50 and Mre11-like proteins that may lead to the processing of double-stranded breaks in 3′ single-stranded tails