It is shown that the integrability conditions that arise in the Null Surface Formulation (NSF) of general relativity (GR) impose a field equation on the local null surfaces which is equivalent to the vanishing of the Bach tensor. This field equation is written explicitly to second order in a perturbation expansion. The field equation is further simplified if asymptotic flatness is imposed on th...

In this work, we explore the existence of traversable wormhole solutions supported by double gravitational layer thin shells and satisfying null energy condition (NEC) throughout whole spacetime, in a quadratic-linear form generalized hybrid metric-Palatini gravity. We start showing that for particular action, junction conditions on continuity Ricci scalar $R$ Palatini $\mathcal{R}$ theory can ...

Previously we have showed that the computation of vectors in and bases for the null space of a singular matrix can be accelerated based on additive preconditioning and aggregation. Now we incorporate these techniques into the inverse iteration for computing the eigenvectors and eigenspaces of a matrix, which are the null vectors and null spaces of the same matrix shifted by its eigenvalues. Acc...

Lower bounds on Bayes factors in favor of the null hypothesis in multinomial tests of point null hypotheses are developed. These are then applied to derive lower bounds on Bayes factors in both exact and asymptotic chi-squared testing situations. The general conclusion is that the lower bounds tend to be substantially larger than P-values, raising serious questions concerning the routine use of...

the aim of this study was to assess the possible association between genetic polymorphisms of the glutathione s-transferase (gst) gene family and the risk of the development of metabolic syndrome (ms) in zoroastrian females in yazd, iran.in this case-control study, gstm1, t1, and p1 polymorphisms were genotyped in 51 randomly selected ms patients and 50 randomly selected healthy controls on feb...

A popular framework for false discovery control is the random effects model in which the null hypotheses are assumed to be independent. This paper generalizes the random effects model to a conditional dependence model which allows dependence between null hypotheses. The dependence can be useful to characterize the spatial structure of the null hypotheses. Asymptotic properties of false discover...

There are proven generalizations of the Hölder's and Minkowski's inequalities for the pseudo-integral. There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g, the second semiring ([a, b], sup,), where is generated and the third semiring where both pseudo-operations are idempotent, i.e., È = sup an...