the pupose of this paper is modeling of partial digest problem (pdp) as a mathematical programming problem. in this paper we present a new viewpoint of pdp. we formulate the pdp as a continuous optimization problem and develope a method to solve this problem. finally we constract a linear programming model for the problem with an additional constraint. this later model can be solved by the simp...

Graphene, a two-dimensional honeycomb lattice of carbon atoms, has been attracting much interest in recent years. Electrons therein behave as massless relativistic particles, giving rise to strikingly unconventional phenomena. Graphene edge states are essential for understanding the electronic properties of this material. However, the coarse or impure nature of the graphene edges hampers the ab...

In the particular context of innovation, knowledge plays an ambiguous role. On one hand, it is the ferment of any idea generation, which is the starting step of the innovation process. Within this role, knowledge must be new, unstable, explorative, in order to permit creativity and variety. On the other hand, it is the cement of reliable product or process development, which is the ending step ...

We present a dynamical system that naturally exhibits two unstable attractors that are completely enclosed by each other's basin volume. This counterintuitive phenomenon occurs in networks of pulse-coupled oscillators with delayed interactions. We analytically show that upon continuously removing a local noninvertibility of the system, the two unstable attractors become a set of two nonattracti...

The purpose of the study was to investigate the effects of providing access to a case library of related stories while undergraduates solved ill-structured problems. While solving complex food product development problems, the experimental group accessed experts’ stories of similar, previously solved problems; the comparable group accessed fact sheets (expository representation of stories’ cont...

Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced period-doubling systems. As a representative model, we consider the quasiperiodically forced logistic map and investigate the mechanism for the intermittent route to SNAs using rational approximations to the quasiperiodic forcing. It is found that a smooth torus transforms into an intermittent SNA via...

It is commonly believed that piracy of information goods leads to lower profits, which translate to lower incentives to invest in innovation, and eventually to lower quality products. Manufacturers, policy-makers, and researchers, all claim that inadequate piracy enforcement efforts translate to lower investments in product development. However, we find many practical examples that contradict t...

How a reacting system climbs through a transition state during the course of a reaction has been an intriguing subject for decades. Here we present and quantify a technique to identify and characterize local invariances about the transition state of an N-particle Hamiltonian system, using Lie canonical perturbation theory combined with microcanonical molecular dynamics simulation. We show that ...

In order to reduce the unbalance vibration of the rotating machinery automatically during the work process, a new type of liquid-transfer active balancing system was proposed. In the system, a balancing disc divided into four liquid storage chambers was mounted on the rotor. When the unbalance response of the rotating machinery was higher than the limiting value, compressed air was injected to ...