OBJECTIVES/HYPOTHESIS To investigate possible association of hearing loss and SLC26A4 mutations with the subgroups of enlarged vestibular aqueduct (EVA) morphology in Japanese subjects with hearing loss. STUDY DESIGN Retrospective multicenter study. METHODS Forty-seven subjects who had vestibular aqueduct with midpoint diameter >1 mm by computed tomography of the temporal bone were enrolled...

Integration with weight functions is used in countless mathematical problems such as: approximation theory and spectral analysis, statistical analysis and the theory of distributions. The aim of this paper is to establish a new inequality using weight function which generalizes the inequalities of Barnett et al. in 2001 and Rafiq et al. in 2006. We also discuss some other interesting inequaliti...

We present a symplectic integrator, based on the implicit midpoint method, for classical spin systems where each spin is a unit vector in R{3}. Unlike splitting methods, it is defined for all Hamiltonians and is O(3)-equivariant, i.e., coordinate-independent. It is a rare example of a generating function for symplectic maps of a noncanonical phase space. It yields a new integrable discretizatio...

The midpoint potential of the [2Fe-2S] cluster of the Rieske iron-sulfur protein (Em7 = +280 mV) is the primary determinant of the rate of electron transfer from ubiquinol to cytochrome c catalyzed by the cytochrome bc1 complex. As the midpoint potential of the Rieske cluster is lowered by altering the electronic environment surrounding the cluster, the ubiquinol-cytochrome c reductase activity...

We give an analytic proof for the Hausdorff convergence of the midpoint or derived polygon iteration. We generalize this iteration scheme and prove that the generalization converges to a region of positive area and becomes dense in that region. We speculate on the centroid or derived polyhedron iteration.

Abstract In this paper, we offer a new quantum integral identity, the result is then used to obtain some estimates of Hermite–Hadamard inequalities for integrals. The results presented in paper are generalizations comparable literature on inequalities. Several inequalities, such as midpoint-like inequality, Simpson-like averaged midpoint–trapezoid-like and trapezoid-like obtained special cases ...

A raster-based algorithm for drawing circles is derived by using the so-called assertion-guided approach to program construction. The initially derived form is slightly different from published ones. It can, however, be transformed into the secondorder midpoint circle-drawing algorithm. Because of the rigour of the approach, the correctness of the derived algorithm is assured. The approach also...

in this paper, the non-linear dynamic response of novel steel sandwich panel with hollow i-core subjected to blast loading was studied. special emphasis is placed on the evaluation of midpoint displacements and energy dissipation of the models. several parameters such as boundary conditions, strain rate, mesh dependency and asymmetrical loading are considered in this study. the material and geo...

The Riemann integral can be approximated using partitions and a rule for assigning weighted sums of the function at points determined by the partition. Approximation methods commonly used include endpoint rules, the midpoint rule, the trapezoid rule, Simpson’s rule, and other quadrature methods. The rate of approximation depends to a large degree on the rule being used and the smoothness of the...

First we introduce a mesh density function that serves as a criterion to decide, where a simplicial mesh should be fine (dense) and where it should be coarse. Further, we propose a new bisection algorithm that chooses for bisection an edge in a given mesh associated with the maximum value of the mesh density function. Dividing this edge at its midpoint, we correspondingly bisect all simplices s...