It is f i t t ing in this b icentennial year of the United States, for the ed i f i ca t ion of oncologists, to cast a glance at what physicians o f the American Revolut ion though t and practiced about cancer . There is no better source of such en l igh tenment than the wri t ings o f Benjamin Rush (1745-1813) of Phi ladelphia. Of English Quaker stock, born in Pennsylvania and educated at Pr i...

Using recent results of the second author which explicitly identify the “(1, 2, 1, 2)avoiding” GL(p,C)×GL(q,C)-orbit closures on the flag manifold GL(p+q,C)/B as certain Richardson varieties, we give combinatorial criteria for determining smoothness, lci-ness, and Gorensteinness of such orbit closures. (In the case of smoothness, this gives a new proof of a theorem of W.M. McGovern.) Going a st...

In this article, we give direct algebraic method for the complex solutions of the Fisher equation and Benjamin-Bona-Mahony equation. We get some complex solutions of the Fisher equation and Benjamin-Bona-Mahony equation by this method.

Cortical neurons in the brain reach their final position through a highly organized migration in either the radial (from ventricular to pial surface) or tangential (parallel to the ventricular surface) direction1. Most radially migrating neurons move along the processes of radial glia cells through a series of sequential steps. They first extend a leading process in the direction of migration, ...

In recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. One such method is known as the new extended (G'/G)-expansion method and was proposed by Roshid et al. In this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (NLPDEs), namely the Benjamin-Ono equation. It is est...

Abstract In this note we study the controllability of the Generalized BenjaminBona-Mahony equation (BBM) with homogeneous Dirichlet boundary conditions. Under some conditions we shall prove the system is approximately controllable on [0, t1] if and only if the following algebraic condition holds Rank[Bj ] = γj , where Bj acts from IR m to R(Ej), λj ’ s are the eigenvalues of −∆ with Dirichlet b...

This paper considers substantive and methodological issues that are raised by the deployment of Goethe’s notion of the Urphänomen in the work of Georg Simmel and Walter Benjamin. The paper is exploratory. I employ Goethe’s idea, and his approach to empirical observation and theory more generally, to examine affinities and contrasts between the methodology of Simmel and Benjamin. Like Goethe, bo...