This special issue on Differential Algebra and Differential Equations was the idea of Bob Caviness and Bruno Buchberger and originated from a special year in differential algebra that was organized by Raymond Hoobler and William Sit at The City College of New York during 1995–1996. It may interest the reader to recall the research environment under which the special year was started. As is well...

Abstract In this paper we consider the lower order eigenvalues of biharmonic operator on compact Riemannian manifolds with boundary (possibly empty) and prove a type of general inequalities for them. In particular, we study the lower order eigenvalues of biharmonic operator on compact submanifolds of Euclidean spaces, of spheres, and of projective spaces. We obtain some estimates for lower orde...

in this paper, a low voltage and low power (lv/lp) operational transconductance amplifier (ota) using fgmos (floating-gate mos) transistor is proposed. the relative tuning range of 50 is achieved in this ota while only consumes 40 µw with 1.0 v supply voltage in tsmc 0.18 µm cmos technology. the simulation results of the proposed ota show an open loop gain of 30.2 db and a unity gain frequency ...

Editor's Note: These short, critical reviews of recent papers in the Journal, written exclusively by graduate students or postdoctoral fellows, are intended to summarize the important findings of the paper and provide additional insight and commentary. For more information on the format and purpose of the Journal Club, please see The rodent whisker-to-barrel pathway serves as a major model syst...

In this work we present two new algorithms for the detection of circles and ellipses which use the FHT algorithm as a basis: Fast Circle Hough Transform (FCHT) and Fast Ellipse Hough Transform (FEHT). The first stage of these two algorithms, devoted to obtaining the centers of the figures, is computationally the most costly. With the objective of improving the execution times of this stage it h...

It is known, due to Mordukhai-Boltovski, Ritt, Prelle, Singer, Christopher and others, that if a given rational ODE has a Liouvillian first integral then the corresponding integrating factor of the ODE must be of a very special form of a product of powers and exponents of irreducible polynomials. These results lead to a partial algorithm for finding Liouvillian first integrals. However, there a...