Sufficient coefficient conditions for complex functions to be close-to-convex harmonic or convex harmonic are given. Construction of close-to-convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed. Harmonic, Convex, Close-to-Convex, Univalent.

Given a point set S and a polygonal curve P in R, we study the problem of finding a polygonal curve through S, which has a minimum Fréchet distance to P . We present an efficient algorithm to solve the decision version of this problem in O(nk) time, where n and k represent the sizes of P and S, respectively. A curve minimizing the Fréchet distance can be computed in O(nk log(nk)) time. As a by-...

The last decade has witnessed an explosion in studies of the role of lipoproteins in brain function. Neurons require a continuous supply of lipids for membrane synthesis and acetylcholine production. Indeed, the brain is a site of intense lipid turnover—even though the central nervous system (CNS) accounts for only 2.1% of body weight, it contains 23% of total body cholesterol.1 Lipid metabolis...

hospitals have a long history throughout the history of medicine. first hospitals are originated from persia in ancient times in the sassanid dynasty (2nd to 6th century ad). after the advent of islam in persia (iran) in 637 ad, medical knowledge and also hospitals were ourished and advanced by persian scholars. shiraz azodi hospital and university was one of the important hospitals in persia....

We used PCR to amplify rearranged VHDJH genes in single cells collected by micromanipulation from splenic germinal centers of immunized adult rabbits. In the course of the study, the objective of which was to analyze diversification of rearranged VHDJH sequences, we were surprised to find cells 7 and 10 days after immunization with rearranged VH1a2 as well as a-negative (y33 and x32) sequences ...

We cooled ultrathin tapered fibers to cryogenic temperatures and controllably coupled them with high-Q microsphere resonators at a wavelength close to the optical transition of diamond nitrogen vacancy centers. The 310-nm-diameter tapered fibers were stably nanopositioned close to the microspheres with a positioning stability of approximately 10 nm over a temperature range of 7-28 K. A cavity-i...