let $g$ be a finite group‎. ‎a subgroup‎ ‎$h$ of $g$ is called an $mathcal h $ -subgroup in‎ ‎$g$ if $n_g (h)cap h^gleq h$ for all $gin‎ ‎g$. a subgroup $h$ of $g$ is called a weakly‎ $mathcal h^ast $-subgroup in $g$ if there exists a‎ ‎subgroup $k$ of $g$ such that $g=hk$ and $hcap‎ ‎k$ is an $mathcal h$-subgroup in $g$. we‎ ‎investigate the structure of the finite group $g$ under the‎ ‎assump...

The Saccharomyces cerevisiae Fun30 (Function unknown now 30) protein shares homology with an extended family of Snf2-related ATPases. Here we report the purification of Fun30 principally as a homodimer with a molecular mass of about 250 kDa. Biochemical characterization of this complex reveals that it has ATPase activity stimulated by both DNA and chromatin. Consistent with this, it also binds ...

Two dimensional crystalline membranes in isotropic embedding space exhibit a flat phase with anomalous elasticity, relevant e.g., for graphene. Here we study their thermal fluctuations the absence of exact rotational invariance space. An example is provided by membrane an orientational field, tuned to critical buckling point application in-plane stresses. Through detailed analysis, show that tr...

We present new explicit tight and overtwisted contact structures on the (round) 3-sphere (flat) 3-torus for which ambient metric is weakly compatible. Our proofs are based construction of nonvanishing curl eigenfields using suitable families Jacobi or trigonometric polynomials. As a consequence, we show that sphere theorem Etnyre, Komendarczyk Massot (2012) does not hold compatible as it was co...

Abstract Analytical expressions are derived for the longitudinal flow in a superhydrophobic microchannel where flat menisci Cassie state have partially invaded grooves between no-slip blades. Using these solutions, effective slip lengths computed and compared with recent analytical results unbounded shear over same class of surfaces. Expressions first-order corrections to when weakly curved als...

Dispersion relations for S-matrices and CFT correlators translate UV consistency into bounds on IR observables. In this note, we construct dispersive sum rules 1D CFTs. We use them to prove higher-derivative couplings in weakly-coupled non-gravitational EFTs AdS$_2$. At the leading order bulk-point limit, agree with flat-space result. compute universal effect of finite AdS radius bounds. Along ...

let $r$ be a commutative ring. the purpose of this article is to introduce a new class of ideals of r called weakly irreducible ideals. this class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. the relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...

Microlensing studies of quasars can reveal dark matter lumps over a broad mass spectrum; we highlight the importance of monitoring quasars which are seen through the halos of low-redshift galaxies. For these configurations microlensing by planetary-mass objects will manifest itself as isolated events which are only weakly chromatic. Statistical comparison of the observed optical depths with the...

The personality assessment literature using deviant and antisocial subject populations contains an interesting anomaly—that persons representing major criminal offense categories can be only weakly distinguished from one another by using standard scales of the best conventional inventories (e.g., the Minnesota Multiphasic Personality Inventory and the California Psychological Inventory). This m...

This work studies nonlinear spatiotemporal stability of two-dimensional electroconvection between two flat plates subjected to a through-flow, using numerical simulations and weakly analyses. We found that the traveling speeds leading trailing edges wave packet in regime are consistent with linear ones. derived for first time Ginzburg-Landau equation (GLE) an amplitude expansion method extendin...