Wall jets appear in many situations of technological and scientific interest. In gas turbines, flows produced by the film as well impingement cooling devices are three-dimensional wall jets. High-lift produce that can easily be represented two-dimensional It has been known for a long time both stagnant moving environments display layered structure only partially obey similarity laws. this paper...

Protein similarity estimations can be achieved using reduced dimensional representations and we describe a new application for the generation of two-dimensional maps from the three-dimensional structure. The code for the dimensionality reduction is based on the concept of pseudo-random generation of two-dimensional coordinates and Monte Carlo-like acceptance criteria for the generated coordinat...

After extending the Clarkson-Kruskal’s direct similarity reduction ansatz to a more general form, one may obtain various new types of reduction equations. Especially, some lower dimensional turbulence systems or chaotic systems may be obtained from the general type of similarity reductions of a higher dimensional Lax integrable model with nonintegrable boundary and/or the initial conditions. In...

In this work the effect of the accuracy of a FAE detonation modeling on the generated blast wave is investigated. First, a one-dimensional numerical simulation with a reduced chemical kinetics of C2H2-O2-Ar, involving 25 elementary reactions, is used as the base model. The properties of the blast calculated with this model is compared with those of simpler models, the similarity solution of Tay...

Similarity is well-known to be a core concept of human cognition, e.g., in categorization and learning. Therefore, expressions of similarity in natural language are of special interest: How to account for their meaning including the results on similarity in Cognitive Science and Artificial Intelligence without abandoning referential semantics? In this paper we will lay out a framework connectin...

One of the most serious difficulties in the analysis of high-dimensional data sets involves the treatment of measures of similarity. Although similarity measures often retain some discriminative ability as the dimension increases, the similarity values themselves are often difficult to interpret. Methods for search, clustering and feature selection that perform quantitive tests of similarity va...

Classification based on multiple dimensions of stimuli is usually associated with similarity-based representations, whereas uni-dimensional classifications are associated with rule-based representations. This paper studies classification of stimuli and category representations in school-aged children and adults when learning to categorize compound, multi-dimensional stimuli. Stimuli were such t...

An automatic approach to the recognition of 3D face under any facial expression is presented. It has the capacity to differentiate between expression deformations, those which are caused by expressions, and interpersonal disparities that are essential for recognition. When two facial scans are matched the expression deformations are morphed out before similarity measure calculation while the in...