In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...

13C NMR of the aromatic residues of Clostridium acidi-urici [Phe*]ferredoxin (a chemically modified ferredoxin in which a phenylalanyl residue replaces a tyrosyl residue) and Clostridium pasteurianum ferredoxin permits one to distinguish and probe each iron-sulfur (Fe&*) cluster neighboring the aromatic residues within each protein. This is because the ring carbon resonance shifts of the phenyl...

The random midpoint displacement method is a widely applied algorithm used for terrain simulation. This paper first reviews the underlying theory and the algorithm of the random midpoint displacement method and then analyzes the characteristics of the simulated terrain. An implementation is developed for the successive random addition midpoint displacement method using the programming language ...

We prove the existence of solutions to the 1-harmonic flow –i.e., the formal gradient flow of the total variation of a vector field with respect to the L-distance– from a domain of R into a hyper-octant of the N -dimensional unit sphere, S + , under homogeneous Neumann boundary conditions. In particular, we characterize the lower-order term appearing in the Euler-Lagrange formulation in terms o...

We analyze the fluctuations of the dressed sliver solution found in a previous paper, hep-th/0311198, in the operator formulation of Vacuum String Field Theory. We derive the tachyon wave function and then analyze the higher level fluctuations. We show that the dressing is responsible for implementing the transversality condition on the massless vector. In order to consistently deal with the si...

The celebrated theorem of Feuerbach states that the nine-point circle of a nonequilateral triangle is tangent to both its incircle and its three excircles. In this note, we give a simple proof of Feuerbach’s Theorem using straightforward vector computations. All required preliminaries are proven here for the sake of completeness. 1. Notation and background Let ABC be a nonequilateral triangle. ...

With the 3G development, more and more rich media applications appear on mobile devices. The efficiency of scalable vector graphics player is very crucial for constrained mobile devices. In this paper, we propose a partial rendering algorithm which dynamically traces the invalid areas of elements in the scene and rationally divides the scene into several partial rendering areas. Compared with t...

We propose a method to detect circular arcs, including the determinations of their centers, radii, lengths, and midpoints. The center, radius of a circular arc can easily be determined using circular Hough transform. But, the determinations of the arc midpoint and length are more complicated. Theoretical analysis of the centroid of the near peak Hough transform data is presented. Then, the arc ...

Aim: The line from the midpoint of the sternocleidomastoid muscle to the midpoint of the clavicle was considered the surface projection of the brachial plexus in the supraclavicular region in a previous report using radiological and anatomic techniques. The needle insertion site was the point between the clavicular one-third and cervical two-thirds of this line. The aim of the present study was...