BD-Func (BiDirectional FUNCtional enrichment) is an algorithm that calculates functional enrichment by comparing lists of pre-defined genes that are known to be activated versus inhibited in a pathway or by a regulatory molecule. This paper shows that BD-Func can correctly predict cell line alternations and patient characteristics with accuracy comparable to popular algorithms, with a significa...

In this manuscript, we consider the interpolative contractions mappings via simulation func-tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results.

In an incomplete Brownian-motion market setting, we propose a convex monotonic pricing functional for nonattainable bounded contingent claims which is compatible with prices for attainable claims. The pricing functional is defined as the convex conjugate of a generalized entropy penalty functional and an interpretation in terms of tracking with instantaneously vanishing risk can be given. 1. In...

let $g=(v,e)$ be a simple graph. a set $dsubseteq v$ is adominating set of $g$ if every vertex in $vsetminus d$ has atleast one neighbor in $d$. the distance $d_g(u,v)$ between twovertices $u$ and $v$ is the length of a shortest $(u,v)$-path in$g$. an $(u,v)$-path of length $d_g(u,v)$ is called an$(u,v)$-geodesic. a set $xsubseteq v$ is convex in $g$ ifvertices from all $(a, b)$-geodesics belon...

let $g=(v,e)$ be a simple graph. a set $dsubseteq v$ is adominating set of $g$ if every vertex in $vsetminus d$ has atleast one neighbor in $d$. the distance $d_g(u,v)$ between twovertices $u$ and $v$ is the length of a shortest $(u,v)$-path in$g$. an $(u,v)$-path of length $d_g(u,v)$ is called an$(u,v)$-geodesic. a set $xsubseteq v$ is convex in $g$ ifvertices from all $(a, b)$-geodesics belon...

In 2010, Cilleruelo, Ruzsa, and Vinuesa established a surprising connection between the maximum possible size of generalized Sidon set in first $N$ natural numbers optimal constant an “analogous” problem concerning nonnegative-valued func

Background Staging vascular cognitive impairment (VCI) might be useful for sample selection in clinical trials and for guiding clinical decision-making. Clinical dementia rating (CDR) has been applied for staging cognitive impairments of different etiologies, but it may underestimate severity of non-Alzheimer's disease cognitive deficits. Methods Out of a total of 147 elderly subjects, 23 (me...

We consider hyperbolic links that admit alternating projections on surfaces in compact, irreducible 3-manifolds. show that, under some mild hypotheses, the volume of complement such a link is bounded below terms Kauffman bracket func