Let $\Gamma$ be the graph whose vertices are chambers of finite projective space $\mathrm{PG}(3,q)$ with two being adjacent when corresponding in general position. It is known that independence number this $(q^2+q+1)(q+1)^2$. For $q\geqslant 43$ we determine largest independent set and show every maximal not a one has at most constant times $q^3$ elements. 47$, information then used to chromati...

In the present paper, authors study strange stars with MIT Bag EoS admitting Buchdahl symmetry (non-singular and physically viable metric potential) in both linear $$f(Q)=aQ+b$$ nonlinear $$f(Q)=Q+aQ^b$$ forms of modified symmetric teleparallel gravitation. order to obtain correct form coefficients, they matched interior star space-time exterior Schwarzschild vacuum space-time. As a candidate, ...

It is shown that for every closed, convex and nowhere dense subset C of a superreflexive Banach space X there exists a Radon probability measure μ on X so that μ(C + x) = 0 for all x ∈ X. In particular, closed, convex, nowhere dense sets in separable superreflexive Banach spaces are Haar null. This is unlike the situation in separable nonreflexive Banach spaces, where there always exists a clos...

We determine the center of a localization of Uq(nω) ⊆ U q (g) by the covariant elements (non-mutable elements). Here, g is any finite-dimensional complex Lie algebra and ω is any element in the Weyl group W. The non-zero complex parameter q is assumed not to be a root of unity. The center is determined by the null space of 1 + ω. Another family of quadratic algebras is also considered.

This paper considers a test of the null hypothesis that the first K autocorrelations of a covariance stationary time series are zero in the presence of statistical dependence. The test is based on the BoxPierce Q statistic with bootstrap-based critical values. The bootstrap is implemented using a double blocks of blocks procedure with prewhitening. The finite sample performance of the bootstrap...

A new form of the Kerr-Newman solution is presented. The involves a time coordinate which represents local proper for charged massive particle released from rest at spatial infinity. chosen coordinates ensure that well-behaved horizons and enable an intuitive description many physical phenomena. If charge $e = 0$, reduce to Doran Kerr with replacement $M \to M - Q^2/(2r)$, where $M$ $Q$ are mas...

We prove a linear operator T acting between lp-type spaces attains its norm if, and only if, there exists a not weakly null maximizing sequence for T . For 1 < p 6= q we show that any not weakly null maximizing sequence for a norm attaining operator T : lp → lq has a norm-convergent subsequence. We also prove that for any fixed x0 in lp, the set of operators T : lp → lq that attain their norm a...

background : progression of systemic lupus erythematosus (sle) could be due to oxidative stress especially through reactive oxygen species (ros). detoxification of ros is largely performed by glutathione s-transferases (gsts), therefore polymorphisms of gstm1, gstt1 and gstp1 genes which decrease enzymes activity could affect sle susceptibility. the aim of this study was to determine the effect...