The relative worst order ratio is a measure for the quality of online algorithms. Unlike the competitive ratio, it compares algorithms directly without involving an optimal offline algorithm. The measure has been successfully applied to problems like paging and bin packing. In this paper, we apply it to machine scheduling. We show that for preemptive scheduling, the measure separates multiple p...

This paper addresses the estimation of Relative Transfer Function (RTF) between microphones from noisy recordings. We utilize an incomplete initial measurement of the RTF, which is known for only several frequency bins. The measurement is completed by finding its sparsest representation in the time domain. We propose to perform this reconstruction by solving a Second-Order Cone Program (SOCP). ...

For two subsetsW and V of a normed space X. The relative Kolmogorov n-width ofW relative to V in X is defined by Kn(W,V )X := inf Ln sup f∈W inf g∈V∩Ln ‖f − g‖X , where the infimum is taken over all n-dimensional subspaces Ln of X. For ∈ R+, defineW p (1 p ∞) to be the collection of 2 -periodic and continuous functions f representable as a convolution f (t)= c + (B ∗ g)(t), where g ∈ Lp(T ), T ...

Working with the mean orbit elements, the secular drift of the longitude of the ascending node and the sum of the argument of perigee and mean anomaly are set equal between two neighboring orbits. By having both orbits drift at equal angular rates on the average, they will not separate over time due to the influence of the perturbative effects of the asphericity of the Earth, as is considered i...

We present the results of an analytic calculation of the corrections of relative order a2(me/mll) to the muonium ground state hyperfine splitting due to exchanged photons. We compare theory and experiment, taking into account these corrections and some radiative-recoil contributions described in an accompanying paper.

This paper studies robust control schemes for two spacecraft in formation subjected to external disturbances in the space environment. Two sliding mode control schemes are designed to generate control with a finite time convergence property. The super twisting and adaptive super twisting control algorithms are developed for the two-spacecraft formation flying system. The second method of Lyapun...

The aim of this paper is to analyse under which conditions Absolute Order-of-Magnitude and Relative Orderof-Magnitude models may be consistent and to determine the constraints which guarantee consistency. A graphical interpretation of the constraints is provided, bridging the absolute qualitative labels of two quantities into their corresponding relative relation(s), and conversely. The ROM rel...