A finite W-algebra U (g, e) is a certain finitely generated algebra that can be viewed as the enveloping algebra of the Slodowy slice to the adjoint orbit of a nilpotent element e of a complex reductive Lie algebra g. It is possible to give the tensor product of a U (g, e)-module with a finite dimensional U (g)-module the structure of a U (g, e)-module; we refer to such tensor products as trans...

This study investigated the effects of supplemental Mg, Trp, vitamin C, vitamin E, and herbs on stress responses, skin lesions, and meat quality of slaughter pigs (106.0 +/- 8.6 kg of BW). These 5 supplements were tested in 4 similar experiments. In Exp. 1, 2 treatments were tested: 1) control treatment without supplementation, and 2) supplementation of an herbal product (2.5 g/L of drinking wa...

A finite W -algebra U(g, e) is a certain finitely generated algebra that can be viewed as the enveloping algebra of the Slodowy slice to the adjoint orbit of a nilpotent element e of a complex reductive Lie algebra g. It is possible to give the tensor product of a U(g, e)-module with a finite dimensional U(g)module the structure of a U(g, e)-module; we refer to such tensor products as translati...

This paper gives the first separation between the power of formulas and circuits of equal depth in the AC[⊕] basis (unbounded fan-in AND, OR, NOT and MOD2 gates). We show, for all d(n) ≤ O( logn log logn ), that there exist polynomial-size depth-d circuits that are not equivalent to depth-d formulas of size n (moreover, this is optimal in that n cannot be improved to n). This result is obtained...

BACKGROUND Neuropathy is one of the complications caused by diabetes mellitus which is directly related to the gastrointestinal manifestations of the disease. Antioxidant substances, such as vitamin E, may play an important role in the reduction of the neurological damage caused by diabetes mellitus. The aim of the present study was to determine whether vitamin E (alpha-tocopherol) at different...

For a manifold $M$ endowed with Legendrean (or Lagrangean) contact structure $E\oplus F \subset TM$, we give an elementary construction of invariant partial connection on the quotient bundle $TM/F$. This permits us to develop naïve version relative tractor calculus and construct second order differential operator, which turns out be first BGG operator induced by connection.

This study was conducted to assess the effect of some growth enhancers as dietary onion & garlic (Allium sativum) and vitamin E supplementation with water on the meat quality parameters of broiler chicken. A total of 150 chicks were divided into 3 groups, 50 birds per treatment. The first group was fed control diet, the second group fed control diet supplemented with onion 2% and garlic 2% and ...

in this paper we study the module contractibility ofbanach algebras and characterize them in terms the conceptssplitting and admissibility of short exact sequences. also weinvestigate module contractibility of banach algebras with theconcept of the module diagonal.

55 Cnc e is a transiting super-Earth (radius $1.88\rm\,R_\oplus$ and mass $8\rm\, M_\oplus$) orbiting G8V host star on 17-hour orbit. Spitzer observations of the planet's phase curve at 4.5 $\mu$m revealed time-varying occultation depth, MOST optical are consistent with amplitude offset maximum light. Both broadband high-resolution spectroscopic analyses either high mean molecular weight atmosp...

For every $n$-dimensional smooth projective variety $X$ over ℂ, the motive $M(X)$ is expected to admit a Chow-Künneth decomposition $M_0(X)\oplus \cdots \oplus M_{2n}(X)$. Inspired by slice filtration of we propose definitions $M_2(X)$ and $M_{2n-2}(X)$. In our construction use intermediate Jacobians.