The purpose of this paper is to extend the hypocoercivity results for kinetic Fokker-Planck equation in $H^1$ space Villani's memoir \cite{Villani} higher order Sobolev spaces. As $L^2$ and setting, there lack coercivity $H^k$ associated operator. To remedy issue, we shall modify usual norm with certain well-chosen mixed terms suitable coefficients which are constructed by induction on $k$. In ...

A mission to view the solar poles from high helio-latitudes (above 60$^\circ$) will build on experience of Solar Orbiter as well a long heritage successful missions and instrumentation (e.g. SOHO \cite{SOHO}, STEREO \cite{stereo}, Hinode \cite{Hinode}, SDO \cite{SDO}), but focus for first time poles, enabling scientific investigations that cannot be done by any other mission. One major mysterie...

Pharmacogenetics research looks at variations in the human genome and ways in which genetic factors might influence how individuals respond to drugs. The authors review basic principles of pharmacogenetics and cite findings from several gene-phenotype studies to illustrate possible associations between genetic variants, drug-related behaviors, and risk for drug dependence. Some gene variants af...

Normal aging is associated with progressive changes in cellular function. Keratinocytes experience continual cycles of division and renewal as well constant exposure to external stimuli, while the balance between unperturbed cumulative effects environmental exposures are not completely defined. We isolated keratinocytes from 12 mice aged 3-86 weeks found 876 differentially methylated regions by...

In this paper, we obtain two new lower bounds for the smallest singular value of nonsingular matrices which is better than bound presented by zou \cite{zou2012lower}, Lin, Minghua and Xie, Mengyan \cite{lin2021some} under certain circumstances.

We calculate the potential contributions of Hamiltonian in harmonic coordinates up 6PN for binary mass systems to $O(G_N^4)$ and perform comparisons recent results literature \cite{Bern:2021dqo} \cite{Bini:2020nsb}.

Background and Objective: The production of carbapenemases especially Klebsiella pneumoniae carbapenemase (KPC) is the most important mechanism of enzymatic resistance in isolated Enterobacteriaceae such as K. pneumoniae. The purpose of this study was detected of the carbapenemase producer K. pneumoniae strains with phenotypic and genotypic ...

The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related a conjecture an open question were presented by R. Lemos G. Soares in \cite{lemos}. In addition, we present complement unitarily invariant norm inequality was conjectured Bhatia, Y. Lim T. Yamazaki \cite{Bhatia2}, recently proved T.H. Dinh...

Laboratory of Gene Technology, KU Leuv B-3001 Heverlee, Belgium. E-mail: rob.lavig 19 65; Tel: +32 (0) 16 37 95 24 Laboratory of Food Microbiology, KU Le Heverlee, Belgium Department of Chemistry, University of Wa [email protected]; Fax: +44 (0) 2476 5 Laboratory of Medicinal Chemistry, Rega In Minderbroedersstraat 10, B-3000 Leuven, B † Electronic supplementary information ( experimental d...