In this paper, we consider the problem of simultaneously testing many two-sided hypotheses when rejections of null hypotheses are accompanied by claims of the direction of the alternative. The fundamental goal is to construct methods that control the mixed directional familywise error rate, which is the probability of making any type 1 or type 3 (directional)

In this paper we study standard graded artinian level algebras, in particular those whose socle-vector has type 2. Our main results are: the characterization of the level h-vectors of the form (1, r, ..., r, 2) for r ≤ 4; the characterization of the minimal free resolutions associated to each of the h-vectors above when r = 3; a sharp upper-bound (under certain mild hypotheses) for the level h-...

An almost square of type 2 is an integer n that can be factored in two different ways as n = a1b1 = a2b2 with a1, a2, b1, b2 ≈ √ n. In this paper, we shall improve upon our previous results on short intervals containing such an almost square. This leads to another question of independent interest: given some 0 < c < 1, find a short interval around x which contains an integer divisible by some i...

Review on ADAMTS12, with data on DNA/RNA, on the protein encoded and where the gene is implicated.

We show birationality of the morphism associated to line bundles L of type 4) on a generic g−dimensional abelian variety into its complete linear system such that h 0 (L) = 2 g. When g = 3, we describe the image of the abelian threefold and from the geometry of the moduli space SU C (2) in the linear system |2θ C |, we obtain analogous results in IP H 0 (L).

The present study aims at the quantitative classification of texts and text types. By way of a case study, 398 Slovenian texts from different genres and authors are analyzed as to their word length. It is shown that word length is an important factor in the synergetic self-regulation of texts and text types, and that word length may significantly contribute to a new typology of discourse types.

Children are known to use different types of referential gestures (e.g., deictic, iconic) from a very young age. In contrast, their use of non-referential gestures is not well established. This study investigated the use of stroke-defined non-referential ‘beat’ gestures in a story-retelling and an exposition task by twelve 6-year-olds, an age at which proficiency in discourse is beginning to de...