In this paper we consider two related objects: singular positive semidefinite Hankel block–matrices and associated degenerate truncated matrix Hamburger moment problems. The description of all solutions of a degenerate matrix Hamburger moment problem is given in terms of a linear fractional transformation. The case of interest is the Hamburger moment problem whose Hankel block–matrix admits a p...

In this paper Viktor Hamburger [5] and Rita Levi-Montalcini [6] collaborated to examine the effects of limb transplantation [7] and explantation on neural development [8]. In 1947 Hamburger invited Levi-Montalcini to his lab at Washington University [9] in St. Louis to examine this question. Independently, each had previously arrived at opposing conclusions based on the same data. Hamburger con...

In 1951 Viktor Hamburger [4] and Howard Hamilton created an embryonic staging series from a combination of photographs and drawings from other researchers. The Hamburger?Hamilton stages are a sequence of images depicting 46 chronological stages in chick [5] development. The images begin with a fertilized egg [6] and end with a fully developed chick [5]. The Hamburger-Hamilton staging series was...

background using garlic is widespread in iran and other countries as a medicine and a natural spice. garlic is a potential inhibitor for food pathogens. foods contaminated with pathogens pose a potential danger to the consumer’s health. the use of garlic can increase the shelf life and decrease the possibilities of food poisoning and spoilage in processed foods. objectives the aim of this study...

We consider a simplified accoustic model to describe nonlinear phenomena occuring in loudspeakers. The simplification is that we restrict to the one–dimensional isentropic Euler equations in a slab, where on the right end a membrane is moving periodically with frequency ω and maximal displacement ε œ 1. The asymptotic model based on the small parameter ε yields hyperbolic first order systems, w...