and Applied Analysis 3 4. The ε-Method for Resonant Centers We recall in this section the ε-method developed in [23] which we apply here to resonant centers. We consider system (2) which we write into the form ?̇? = P (x, y) = px + F 1 (x, y) , ?̇? = Q (x, y) = −q y + F 2 (x, y) , (5) where F 1 (x, y) and F 2 (x, y) are analytic functions without constant and linear terms, defined in a neighborho...

We propose a first order interior point algorithm for a class of nonLipschitz and nonconvex minimization problems with box constraints, which arise from applications in variable selection and regularized optimization. The objective functions of these problems are continuously differentiable typically at interior points of the feasible set. Our first order algorithm is easy to implement and the ...

It is well-known that in combination with further premises that look less controversial, the tolerance principle – the constraint that if Pa holds, and a and b are similar in P -relevant respects, Pb holds as well – leads to contradiction, namely to the sorites paradox. According to many influential views of the sorites paradox (e.g. Williamson 1994), we therefore ought to reject the principle ...

This paper studies a location–routing–inventory problem in a multi-period closed-loop supply chain with multiple suppliers, producers, distribution centers, customers, collection centers, recovery, and recycling centers. In this supply chain, centers are multiple levels, a price increase factor is considered for operational costs at centers, inventory and shortage (including lost sales and back...

Using data collected in 1998 by the NA48 experiment, a preliminary measurement of the direct CP violation parameter Re (ε/ε) is here presented, together with a discussion of the experimental method, data analysis and systematic studies. The result is Re (ε/ε) = (12.2± 4.9) × 10, and combined with the previously published NA48 result (based from data collected in 1997) gives Re (ε/ε) = (14.0± 4....

quadruped robots have unique capabilities for motion over uneven natural environments. this article presents a stable gait for a quadruped robot in such motions and discusses the inverse-dynamics control scheme to follow the planned gait. first, an explicit dynamics model will be developed using a novel constraint elimination method for an 18-dof quadruped robot. thereafter, an inverse-dynamics...

In this paper, we consider the relative motion of a follower spacecraft orbiting Earth in near circular orbit with respect to leader spacecraft. The orbital motion-control problem is studied here. order allow succeed its target maneuver, proposed multi-objective optimization method solve problem. Firstly, Hill–Clohessy–Wiltshire equation was used describe continuous system. Then, system discret...

Abstract This paper explores the characteristics of solutions when scheduling jobs in a shop with parallel machines. Three classical objective functions were considered: makespan, total completion time, and tardiness. These three criteria combined pairs, resulting bi-objective formulations. formulations solved using ε-constraint method to obtain Pareto frontier for each pair. The research is ev...