An interesting property of the midpoint rule and trapezoidal rule, which is expressed by the so-called Hermite–Hadamard inequalities, is that they provide one-sided approximations to the integral of a convex function. We establish multivariate analogues of the Hermite–Hadamard inequalities and obtain access to multivariate integration formulae via convexity, in analogy to the univariate case. I...

Propane combustion in a trapped vortex combustor (TVC) is characterized via large eddy simulation coupled with filtered mass density function. A computational algorithm based on high order finite difference (FD) schemes, is employed to solve the Eulerian filtered compressible Navier-Stokes equations. In contrast, a Lagrangian Monte-Carlo solver based on the filtered mass density function is inv...

Low-temperature e.p.r. (electron-paramagnetic-resonance) spectroscopy was used to detect electron-transport components in Chromatium chromatophores with e.p.r. signals in the g=2.00 region. High-potential iron protein (Ems.o=+325mV, where Em8.0 is the midpoint potential at pH8) and a second component (g= 1.90, Em8.o=+285mV) are oxidized in illuminated chromatophores. Two iron-sulphur proteins (...

point of the common perpendicular to the two rays (the midpoint method). Perhaps a better choice would be to In this paper, we consider the problem of finding the position of a point in space given its position in two images taken with divide the common perpendicular in proportion to the cameras with known calibration and pose. This process requires distance from the two camera centers, since t...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: MSC: 65D30 65D32 65R20 Keywords: Finite-part integral Composite midpoint rule Superconvergence Finite-part integral equation...

OBJECTIVES How human chronotype is correlated to nutrient and food-group intakes and dietary behavior remains to be elucidated. We cross-sectionally examined the association between the midpoint of sleep and these dietary variables in young Japanese women. A calculated halfway point between bedtime and rise time was used as midpoint of sleep. METHODS The subjects were 3304 female Japanese die...

We introduce a novel framework for conceptualising, quantifying and unifying discordant patterns of species richness along geographical gradients. While not itself explicitly mechanistic, this approach offers a path towards understanding mechanisms. In this study, we focused on the diverse patterns of species richness on mountainsides. We conjectured that elevational range midpoints of species ...

Implicit integration methods have contributed to large performance enhancements in the field of simulation of particle-system mechanical models. While Backward Euler and BDF-2 methods are now widely used for cloth simulation applications, the Implicit Midpoint method is often overlooked, because of its poor stability properties. It is however as simple to implement as Backward Euler, and offers...

The concept of midpoint percolation has recently been applied to characterize the double percolation transitions in negatively curved structures. Regular d-dimensional hypercubic lattices are investigated in the present work using the same concept. Specifically, the site-percolation transitions at the critical thresholds are investigated for dimensions up to d=10 by means of the Leath algorithm...

The WWW contains a huge amount of documents. Some of them share the subject, but are generated by different people or even organizations. To guarantee the interchange of such documents, we can use XML, which allows to share documents that do not have the same structure. However, it makes difficult to understand the core of such heterogeneous documents (in general, schema is not available). In t...