Dimensional analysis, for multi-criteria decision making, is a mathematical method that includes diverse heterogeneous criteria into a single dimensionless index. Dimensional Analysis, in its current definition, presents the drawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we propose two dimensional analysis ba...

Geometric shapes are identified with their features. For computational purposes a concrete mathematical definition of features is required. In this paper we use a topological approach, namely dynamical systems, to define features of shapes. To exploit this definition algorithmically we assume that a point sample of the shape is given as input from which features of the shape have to be approxim...

This paper proposes a mathematical definition of Large-Eddy-Simulation (LES) for three-dimensional turbulent incompressible viscous flows. It is proposed to call LES approximation of the Navier–Stokes equations any sequence of finite-dimensional approximations of the velocity and pressure fields that converge (possibly up to subsequences) in the Leray class to a suitable weak solution. This def...

We offer a critique of the temporal distinctiveness model of serial position effects (Nairne, Neath, Serra, & Byun, 1997). The temporal distinctiveness model combines a precise definition of stimulus distinctiveness with a memory perturbation process. The critique is empirically motivated-we show that with a more complete analysis, the temporal distinctiveness model does not adequately account ...

A mathematical model of a reciprocating compressor is used in conjunction with a "Complex" method of optimisation to determine the "best" dimensions of a single-stage compressor to meet a prescribed duty. The mathematical procedures provide the basic compressor and valve dimensions by optimising an objective function based, in this instance, on criteria of thermodynamic performance. The conseqe...

The term " equitability " was introduced by Reshef et al. in ref. 1 to describe measures of statistical dependence that " give similar scores to equally noisy relationships of different types. " Their paper also introduced a new statistic, the " maximal information coefficient " (MIC), that was said to satisfy this equitability criterion. There has since been much interest in MIC, due primarily...

Hypercomputation refers to computation surpassing the Turing model, not just exceeding the von Neumann architecture. Algebraic constructions yield a $nitely based pseudorecursive equational theory (Internat. J. Algebra Comput. 6 (1996) 457–510). It is not recursive, although for each given number n, its equations in n variables form a recursive set. Hypercomputation is therefore required for an...

We discuss the mathematical aspects of wave field measurements used in traveltime inversion from seismograms. The primary information about the medium is assumed to be carried by the wave front set and its perturbation with repsect to a hypothetical background medium is to be estimated. By a convincing heuristics a detection procedure for this perturbation was proposed based on optimization of ...