MOEA/D is a promising multi-objective evolutionary algorithm based on decomposition, and it has been used to solve many multi-objective optimization problems very well. However, there is a class of multi-objective problems, called many-objective optimization problems, but the original MOEA/D cannot solve them well. In this paper, an improved MOEA/D with optimal differential evolution (oDE) sche...

An exact series expansion is now known for the Principal Field Emission Elliptic Function v, in terms of a complementary elliptic variable l ′ equal to y 2 , where y is the Nordheim parameter. This expansion was originally found by using the algebraic manipulation package MAPLE. This paper presents a formal mathematical derivation. Recently, it has been discovered that v(l ′) is a particular so...

Inhalation of organic dusts in agricultural environments causes airway inflammatory diseases. Despite advances in understanding the airway response to dust-induced inflammation, less is known about the transition from lung injury to repair and recovery. The objective of this study was to define the post-inflammation homeostasis events following organic dust-induced lung injury. Using an establi...

This article reviews a recently-discovered link between integrable quantum field theories and certain ordinary differential equations in the complex domain. Along the way, aspects of PT-symmetric quantum mechanics are discussed, and some elementary features of the six-vertex model and the Bethe ansatz are explained.

These brief remarks have been prepared in connection with a conference in honor of my thesis advisor, Richard Rochberg.

Small viruses, we could not see And so relied on CPE To find them as they multiplied And thus they were identified. But Edith, who pursued the tracks Of polio, and saw its plaques Could tell them from Coxsackie B By Clinical Virology Which sorted out Pandora's Box From paraflu to chickenpox. Now, in this golden age of plastic Progress since has been fantastic Probes and RIA and kits Are quite e...

In this paper, by considering ordinary differential equation (ODE) as a special case and a starting point of delay differential equation (DDE), we will show that some typical topological methods such as continuation theorems can be applied to detect some dynamics of DDE like periodic solutions. Several problems will be presented.