‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

We propose four axioms that a quasicategory should satisfy to be considered a reasonable homotopy theory of (∞, n)-categories. This axiomatization requires that a homotopy theory of (∞, n)-categories, when equipped with a small amount of extra structure, satisfies a simple, yet surprising, universal property. We further prove that the space of such quasicategories is homotopy equivalent to (RP∞...

The tree species diversity in mixed stands of beech and valuable broadleaves was researched in the area of the National Park `Djerdap` on fifteen sample plots (total study area of about 5 ha). For this purpose, the following diversity measures were applied: (1) Shannon`s index H', (2) Simpson`s index (Simpson 1949), (3) McIntosh`s diversity index D' (McIntosh 1967), (4) Hill’s N1 diversity numb...

catheter atrial septal defects closure: comparison between real-time 3D transesophageal echocardiography and balloon stretched diameter. Eur Assoc Cardiovasc Imaging 2012;13 (Suppl. 1):i106. 51. Schubert U. Transition from fetal to neonatal life: changes in cardiac function assessed by speckle tracking technique. Eur Assoc Cardiovasc Imaging 2012;13 (Suppl. 1):i97. 52. Granja da Silva S, Marin ...

INTRODUCTION Assessing left ventricular (LV) systolic function in a rapid and reliable way can be challenging in the critically ill patient. The purpose of this study was to evaluate the feasibility and reliability of, as well as the association between, commonly used LV systolic parameters, by using serial transthoracic echocardiography (TTE). METHODS Fifty patients with shock and mechanical...

For any projective curve X let M d (X) be the Simpson moduli space of pure dimension one rank 1 degree d sheaves that are semistable with respect to a fixed polarization H on X . When X is a reduced curve the connected component of M d (X) that contains semistable line bundles can be considered as the compactified Jacobian of X . In this paper we give explicitly the structure of this compactifi...

We examine the Dual Ramsey Theorem and two related combinatorial principles VW(k, l) and OVW(k, l) from the perspectives of reverse mathematics and effective mathematics. We give a statement of the Dual Ramsey Theorem for open colorings in second order arithmetic and formalize work of Carlson and Simpson [1] to show that this statement implies ACA0 over RCA0. We show that neither VW(2, 2) nor O...

We consider the problem of finding the Simpson Point, also known as the (1|1) Centroid, of a market that is uniformly distributed over a convex polygon. Diaz and O’Rourke (1994) developed an iterative search algorithm for the case when the demand distribution is uniform; they also observed that it did not appear to converge pointwise, and modified it to do so. We present an enhancement of their...

Coming on the heels of the publication of Tobacco Control’s Twentieth Anniversary issue (vol. 21, issue 2) comes another landmark: David Simpson is stepping down from his longtime position as editor for the journal’s News Analysis section, which he has held since shortly after the journal’s founding in 1992. Mr Simpson’s contributions to tobacco control are legion. Many across the globe, includ...

This paper examines a cornerstone concept of mainstream marketing theory relating to the importance of customer satisfaction as an influence on future behavioural intentions. The underlying premise is that visitors to a tourist attraction whose expectations are met or exceeded will be satisfied with their experience, and that the degree of perceived satisfaction will positively correlate with t...