The purpose of this note is to apply the recent results on semi-classical trace formulæ [17], and on quantum Birkhoff normal forms for semi-classical Fourier Operators [12] to inverse problems. We show how the classical Birkhoff normal form can be recovered from semi-classical spectral invariants. In fact the full quantum Birkhoff normal form of the quantum Hamiltonian near a closed orbit, and ...

This paper investigates semi-online scheduling problems on two parallel machines under a grade of service (GoS) provision subject to minimize the makespan. We consider three different semi-online versions with knowing the total processing time of the jobs with higher GoS level, knowing the total processing time of the jobs with lower GoS level, or knowing both in advance. Respectively, for the ...

Semi-active control systems have been widely studied over the last 20 years. The range of applications includes automotive suspensions, seismic vibration mitigation, large bridges vibration control, knee prosthesis, among others. Semi-active actuators have a complex dynamics, and interaction between actuator and plant cannot be ignored in control design. This is specially true for magneto-rheol...

Semi-rigid plates have been constructed from epoxy resin reinforced with carbon fibre. These have been used in animal trials and also for internal fixation of 20 fractures of the human tibia. The results are generally very satisfactory, and support the view that semi-rigid fixation is not only desirable theoretically, but also works in practice. However, the results are from preliminary trials ...

the polynomial interpolation in one dimensional space r is an important method to approximate the functions. the lagrange and newton methods are two well known types of interpolations. in this work, we describe the semi inherited interpolation for approximating the values of a function. in this case, the interpolation matrix has the semi inherited lu factorization.