We consider the method of alternating projections for finding a point in the intersection of two possibly nonconvex closed sets. We present a local linear convergence result that makes no regularity assumptions on either set (unlike previous results), while at the same time weakening standard transversal intersection assumptions. The proof grows out of a study of the slope of a natural nonsmoot...

Although studies have yielded a detailed taxonomy of types of slippery slope arguments, they have failed to identify a basic argumentation scheme that applies to all. Therefore, there is no way of telling whether a given argument is a slippery slope argument or not. This paper solves the problem by providing a basic argumentation scheme. The scheme is shown to fit a clear and easily comprehensi...

Given n points in the plane and an integer k, the slope selection problem is to nd the pair of points whose connecting line has the k-th smallest slope. (In dual setting, given n lines in the plane, we want to nd the vertex of their arrangement with the k-th smallest x-coordinate.) Cole et al. 6] have given an O(n log n) solution (which is optimal), using the parametric searching technique of M...

This paper describes a simple-yet-effective for a DC-DC buck converter with voltag (VMC). We propose to use a slope adjustable generator (TWG) which provides a line feed and an additional duty cycle modulatio comparing with the conventional VMC, the p significantly improves the line and load tran This triangular wave slope regulation sc compared to digital feed-forward control sch non-linear ca...

BACKGROUND It is not known whether determinants of ventilation (VE)/volume of exhaled carbon dioxide (VCO2) slope during incremental exercise may differ at different stages of reduced ejection fraction chronic heart failure natural history. METHODS AND RESULTS VE/VCO2 slope was fitted up to lowest VE/VCO2 ratio, that is, a proxy of the VE/perfusion ratio devoid of nonmetabolic stimuli to vent...

BACKGROUND The instantaneous hyperemic flow-versus-pressure (i-HFVP) slope index is a new method of assessing maximal coronary conductance and can be used as an alternative to conventional measures of coronary reserve. The i-HFVP slope index is determined by measuring the slope of the linear diastolic segment of the relation between instantaneous aortic pressure and hyperemic coronary flow. M...

objectives the aim of this study was to investigate the relation between respiratory muscle strength and the severity of chf, and the influence of respiratory muscle strength on abnormal ventilation during exercise in chf patients. conclusions respiratory muscle strength is related to the severity of chf, and associated with rapid and shallow ventilation or excessive ventilation during exercise...

Asynchronous circuits are well known for their intrinsic robustness to process, voltage and temperature variations. Nevertheless, in some extreme cases, it appears that their robustness is not sufficient to guarantee a correct circuit behavior in the presence of slow slopes. The simulations and robustness studies have been performed in 130 nm CMOS technology.