This paper studies the variation diminishing property of k-positive linear time-invariant (LTI) systems, which diminish number sign changes (variation) from input to output, if is at most k?1. We characterize this for discrete-time Toeplitz and Hankel operators finite-dimensional causal systems. Our main result that these have a dominant approximation in form series or parallel interconnections...

Simple geometric proofs are given for the total positivity of the B-spline collocation matrix and the variation diminishing property of the B-spline representation of a spline.

A new type of cubic trigonometric Bézier curve has been introduced in [1]. This trigonometric curve has two global shape parameters λ and μ. We give a lower boundary to the shape parameters where the curve has lost the variation diminishing property. In this paper the relationship of the two shape parameters and their geometric effect on the curve is discussed. These shape parameters are indepe...

Size effects at initial yield (prior to stage II) of idealized micron-sized specimens are modeled within a continuum model of plasticity. Two different aspects are considered: specification of a density of dislocation sources that represent the emission of dislocation dipoles, and the presence of an initial, spatially inhomogeneous excess dislocation content. Discreteness of the source distribu...

Aaron M. Griffith Identifying plausible truthmakers for negative truths has been a serious and perennial problem for truthmaker theory. I argue here that negative truths (in particular contingent negative existential truths) are indeed made true but not in the way that positive truths are. I rely on a distinction between “existence-independence” and “variation-independence” drawn by Hofmann and...

This study argues that diminishing marginal impatience (DMI ) as an intuitively plausible behavioural assumption of endogenous time preference has the potential for resolving important issues like the equity premium puzzle. It shows that, while applied to a model in the traditional overlapping generations (OG) framework, DMI is capable of generating assets prices with magnitude and volatility h...

The ECG (Electrocardiogram) signal represents electrical activity of heart and is recorded for monitoring and diagnostic purpose. These signals are corrupted by artifacts during acquisition and transmission predominantly by high frequency noise due to power line interference, electrode movements, etc. Addition of these noise change the amplitude and shape of the ECG signal which affect accurate...