In this paper the authors will apply a mathematical system, the Conformal Geometric Algebra (CGA), to propose applications in computer vision and robotics. The CGA keeps our intuition and insight of the problem’s geometry at hand, besides helping us to reduce the computational problems’ burden. Matrix and vector algebras, complex numbers, rigid and conformal transformations, Euclidean and proje...

Submitted: Mar 21, 2013; Accepted: Apr 30, 2013; Published: Jul 27, 2013 Abstract: Management of development is impossible without development of macroeconomic transformations strategy. In modern conditions instability, imbalance of economic system with subsystems and elements which constantly change are inherent in the states. Base of tax regulation strategy is connection of system, synergetic...

BACKGROUND QSAR is an established and powerful method for cheap in silico assessment of physicochemical properties and biological activities of chemical compounds. However, QSAR models are rather complex mathematical constructs that cannot easily be interpreted. Medicinal chemists would benefit from practical guidance regarding which molecules to synthesize. Another possible approach is analysi...

Super- and sub-additive transformations of aggregation functions have been recently introduced by Greco, Mesiar, Rindone and v{S}ipeky [The superadditive and the subadditive transformations of integrals and aggregation functions, {it Fuzzy Sets and Systems} {bf 291} (2016), 40--53]. In this article we give a survey of the recent development regarding the existence of aggregation functions with ...

A BSTRACT. The performance transformation P which maps a score, its analysis and performance grammar to a fixed performance is far from one-to-one: The P-fibers define high-dimensional mathematical varieties. This work is concerned with the structure of the P-fibers. This is the subject of inverse performance theory: To systematically reconstruct scores, analyses and performance grammars from a...

This communication deals with the properties of heat source/sink in a magneto-hydrodynamic flow of a non-Newtonian fluid immersed in a porous medium. Shrinking phenomenon along with the permeability of the wall is considered. Mathematical modelling is performed to convert the considered physical process into set of coupled nonlinear mathematical equations. Suitable transformations are invoked t...

We introduce the concepts of closed sets and closure operators as mathematical tools for the study of social networks. Dynamic networks are represented by transformations. It is shown that under continuous change/transformation, all networks tend to “break down” and become less complex. It is a kind of entropy. The product of this theoretical decomposition is an abundance of triadically closed ...

New methods for time series analysis describe patterns of variation and thereby identify creative phenomena. Regarding variation as meaningful change rather than meaningless variability, process statistics (1) analyzes time series; (2) measures changes in statistical parameters; (3) focuses on asymmetry and causality, the properties of directed action; and (4) rejects methodological assumptions...

Wide classes of nonlinear mathematical physics equations are described that admit order reduction through the use of the von Mises transformation, with the unknown function taken as the new independent variable and an appropriate partial derivative taken as the new dependent variable. RF-pairs and associated Bäcklund transformations are constructed for evolution equations of general form (speci...

The inadequacies of traditional design practices for embedded systems have led to a myriad proposals as to improve the state of the art and raise the abstraction level. Almost all of these proposals still start with an imperative “C”-like basis, even though the original mathematical specification has completely different semantics. We show a design process based on a functional language, stayin...