In this paper we investigate some properties and algorithms related to a text sparsification technique based on the identification of local maxima in the given string. As the number of local maxima depends on the order assigned to the alphabet symbols, we first consider the case in which the order can be chosen in an arbitrary way. We show that looking for an order that minimizes the number of ...

We construct a sequence of closed hyperbolic surfaces that are local maxima for the systole function in their respective moduli spaces. Their is arbitrarily large and number examples grows rapidly with genus. More precisely, every $n\\geq 3$ there some positive $L_n$ (growing roughly linearly $n$) such genus $g$ equal to super-exponentially along an arithmetic step size $n$. Many these have no ...

Background It has been suggested that plantar pressures should be measured at ~6.2 mm to accurately characterize local maxima [1], and it has been shown that sensor widths of 10 mm can cause a 30% pressure underestimation at the metatarsal heads [2]. However, these results assume that pressure maxima, not maxima changes, are of primary interest. The purpose of this study was to examine how spat...

The problem of locating local maxima and minima of a function from approximate measurement results is vital for many physical applications: In spectral analysis, chemical species are identiied by locating local maxima of the spectra. In radioastronomy, sources of celestial radio emission, and their subcomponents, are identiied by locating local maxima of the measured brightness of the radio sky...