A model is proposed to describe a transition from a charged black hole of mass M and charge Q to one of mass M and charge Q. The basic equations are derived from the non-vacuum Einstein field equations sourced by the Coulomb field and by a null scalar field with a nonvanishing trace anomaly. It is shown that the nonvanishing trace of the energy-momentum tensor prevents the formation of a naked ...

Simultaneously testing a collection of null hypotheses about a data generating distribution based on a sample of independent and identically distributed observations is a fundamental and important statistical problem involving many applications. In this article we propose a new resampling based multiple testing procedure asymptotically controlling the probability that the proportion of false po...

Simultaneously testing a collection of null hypotheses about a data generating distribution based on a sample of independent and identically distributed observations is a fundamental and important statistical problem involving many applications. In this article we propose a new re-sampling based multiple testing procedure asymptotically controlling the probability that the proportion of false p...

We show that the quantum algebra Uq(sl2) has a presentation with generators x±1, y, z and relations xx−1 = x−1x = 1, qxy − q−1yx q − q−1 = 1, qyz − q−1zy q − q−1 = 1, qzx − q−1xz q − q−1 = 1. We call this the equitable presentation. We show that y (resp. z) is not invertible in Uq(sl2) by displaying an infinite dimensional Uq(sl2)-module that contains a nonzero null vector for y (resp. z). We c...

background: hla-g gene contains 15 alleles including a null allele, hla-g*0105n. previous studies have shown that hla-g*0105n does not encode the complete hla-g1 or hla-g5 isoforms but encodes a functional hla-g protein with the ability to in-hibit nk cell cytolysis. thus, although the biological functions of hla-g1 and hla-g5 proteins are abrogated, other isoforms such as hla-g2 can replace th...

Q |f − fQ|dx < ∞, (1) where |Q| is the n-dimensional Lebesgue measure of Q, fQ = |Q|−1 ∫ Q fdx, and the supremum is taken over all closed cubes Q ⊂ D with sides parallel to the coordinate axes. Let D and D′ be subdomains of Rm and Rn, m, n ≥ 1, respectively. We say that a map F : D → D′ is measurable if F−1(E) is measurable for each measurable subset E of D′. We say that a measurable map F : D ...

where B(v, w) = 12(Q(v + w) − Q(v) − Q(w)) is the bilinear form associated to Q. The transformation sw is linear, fixes the plane w⊥ = {v : v ⊥ w}, and acts by negation on the line through w. These properties characterize sw. We will use reflections associated to the four vectors e1 = (1, 0, 0), e2 = (0, 1, 0), e3 = (0, 0, 1), and e1 + e2 + e3 = (1, 1, 1). The vectors e1, e2, and e3 form an ort...

Let n = pq > q be an rsa modulus. This note describes a lll-based method allowing to factor n given 2 log2 q contiguous bits of p, irrespective to their position. A second method is presented, which needs fewer bits but whose length depends on the position of the known bit pattern. Finally, we introduce a somewhat surprising ad hoc method where two different known bit chunks, totalling 3 2 log2...