Ecologists have developed an abundance of conceptions and mathematical expressions to define β-diversity, the link between local (α) and regional-scale (γ) richness, in order to characterize patterns of biodiversity along ecological (i.e., spatial and environmental) gradients. These patterns are often realized by regression of β-diversity indices against one or more ecological gradients. This p...

Accurate, robust, and automatic image registration is a critical task in many typical applications that employ multi-sensor and/or multi-date imagery information. In this paper we present a new approach to automatic image registration, which obviates the need for feature matching and solves for the registration parameters in a Hough-like approach. The basic idea underpinning GIPSC methodology i...

As part of a larger study of student understanding of concepts in linear algebra, we interviewed 10 university linear algebra students as to their conceptions of functions from high school algebra and linear transformation from their study of linear algebra. An overarching goal of this study was to examine how linear algebra students see linear transformation as related to high school function....

Using the principle of subordination, we obtain some inclusion properties of certain subclasses of analytic functions defined by a generalized multiplier transformation. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45

Conservative numerical schemes for general relativistic magnetohydrodynamics (GRMHD) require a method for transforming between “conserved” variables such as momentum and energy density and “primitive” variables such as restmass density, internal energy, and components of the four-velocity. The forward transformation (primitive to conserved) has a closed-form solution, but the inverse transforma...

In this article, an annotated survey of the approaches to the transformation from probability to possibility or conversely is provided and noticeable properties of the transformation are discussed. This article proposes an approach which is different from the one described by some authors in the literature of fuzzy set theory. The alternative proposal which advocates reconstructions is presente...

The Foldy–Wouthuysen transformation of the Dirac Hamiltonian is generally taught as simply a mathematical trick that allows one to obtain a two-component theory in the low-energy limit. It is not often emphasized that the transformed representation is the only one in which one can take a meaningful classical limit , in terms of particles and antiparticles. We briefly review the history and phys...

In this paper we propose two mathematical methods for more thoroughly analysis of the electrical activity recordings of some human organs: electrocardiograms, electroencephalograms, electromyograms. The spectrograms obtained through short time Fourier transformation and wavelet transformation may be used to evaluate the degree of similarity and difference between two recordings of a healthy and...

Watershed Transformation in mathematical morphology is a powerful tool for image segmentation. Watershed transformation based segmentation is generally marker controlled segmentation. This paper purposes a novel method of image segmentation that includes image enhancement and noise removal techniques with the Prewitt’s edge detection operator. The proposed method is evaluated and compared to ex...

The chromagram is a transformation of a signal's time-frequency properties into a temporally varying precursor of pitch. This transformation is based on perceptual observations concerning the auditory system and has been shown to possess several interesting mathematical properties. We illustrate the use of t~e chr?magram as a fast and robust method for visualizing attributes of a singer's voice...