In this paper, we derive an explicit formula for the volume of arbitrary hyperbolic 4-simplex depending on vertices coordinates.

Sequences of points with a low discrepancy are the basic building blocks of quasi-Monte Carlo methods. Traditionally these points are generated in a unit cube. Not much theory exists on generating lowdiscrepancy point sets on other domains, for example a simplex. We introduce a variation and a star discrepancy for the simplex and derive a Koksma-Hlawka inequality for point sets on the simplex.

The $\beta$-Delaunay tessellation in $\mathbb{R}^{d-1}$ is a generalization of the classical Poisson-Delaunay tessellation. As first result this paper we show that shape weighted typical cell tessellation, conditioned on having large volume, close to regular simplex $\mathbb{R}^{d-1}$. This generalizes earlier results Hug and Schneider about (non-weighted) simplex. Second, asymptotic behaviour ...

Prurigo is a condition of nodular cutaneous lesions that itch intensely. Prurigo lesions are divided into acute, subacute and chronic forms that itch intensely. Subacute prurigo (SP) clinically presents as excoriated papules mostly in a symmetrical distribution on the extensor surfaces of the extremities, neck, lower trunk, and buttocks. It tends to occur in middle-aged patients, especially in ...

It is well known that the space of invariant probability measures for transitive sub-shifts finite type a Poulsen simplex. In this article we prove in non-compact setting, large family countable Markov shifts, sub-probability simplex and its extreme points are ergodic together with zero measure. particular, obtain minus vertex corresponding convex combinations. Our results apply to entropy non-...

It is well known that in operations research‎, ‎degeneracy can cause a cycle in a network‎ ‎simplex algorithm which can be prevented by maintaining strong‎ ‎feasible bases in each pivot‎. ‎Also‎, ‎in a network consists of n arcs‎ ‎and m nodes‎, ‎not considering any new conditions on the entering‎ ‎variable‎, ‎the upper bound of consecutive degenerate pivots is equal‎ $left( ‎begin{array}{c}‎ ‎n...

OBJECTIVE The purpose of this study was to determine the cost-effectiveness of routine antenatal screening for herpes simplex virus 1 and 2 in women without a known history of genital herpes. STUDY DESIGN Decision analysis was used to compare 3 treatment strategies to prevent neonatal herpes infection in women without a known history of genital herpes simplex virus: (1) the current standard o...

We define a problem called Simplex Matching and show that it is solvable in polynomial time. While Simplex Matching is interesting in its own right as a nontrivial extension of nonbipartite min-cost matching, its main value lies in many (seemingly very different) problems that can be solved using our algorithm. For example, suppose that we are given a graph with terminal nodes, nonterminal node...

BACKGROUND Anisakis simplex is a helmintic parasite of fish and shellfish that can induce in humans, after consumption, an immunoallergic response with multiorganic affectation, especially cutaneous (urticaria and angioedema), gastrointestinal and anaphylactic symptoms. Nephrotic syndrome can be produced by helmintic infection, especially schistosomiasis. OBJECTIVE To report the unusual case ...

An evaluation of the sensitivity and the specificity of the Anisakis simplex antigens purified by affinity chromatography was performed using sera from patients diagnosed with Anisakis sensitisation and sera from patients previously diagnosed with different helminthic infections. Only the sera of the patients diagnosed with Schistosoma mansoni or Onchocerca volvulus parasitic infections were ne...