We construct bi-Lipschitz embeddings into Euclidean space for bounded diameter subsets of manifolds and orbifolds of bounded curvature. The distortion and dimension of such embeddings is bounded by diameter, curvature and dimension alone. We also construct global bi-Lipschitz embeddings for spaces of the form Rn/Γ , where Γ is a discrete group acting properly discontinuously and by isometries o...

We expose a pattern for establishing Friedman-Weiermann style independence results according to which there are thresholds of provability of some parameterized variants of well-partial-ordering. For this purpose, we investigate an ordinal notation system for θΩω , the small Veblen ordinal, which is the proof-theoretic ordinal of the theory (Π2-BI)0. We also show that it sometimes suffices to pr...

In this paper we test the effectiveness of a unifying life-cycle framework for the development of affective bi-modal interfaces. The life-cycle framework is called MBIUI and may be used for the application of many different multi-criteria decision making theories in intelligent user interfaces. As a case study we use an affective bi-modal educational system. More specifically, we describe the e...

We construct partially localized supergravity counterpart solutions to the 1/2 supersymmetric non-threshold and the 1/4 supersymmetric threshold bound state BI dyons in the D3-brane Dirac-Born-Infeld theory. Such supergravity solutions have all the parameters of the BI dyons. By applying the IIA/IIB T -duality transformations to these supergravity solutions, we obtain the supergravity counterpa...

Abstract—In this paper, a class of generalized bi-directional associative memory (BAM) neural networks with mixed delays is investigated. On the basis of Lyapunov stability theory and contraction mapping theorem, some new sufficient conditions are established for the existence and uniqueness and globally exponential stability of equilibrium, which generalize and improve the previously known res...

With the continuous development of vehicle and electronic industry, SBW (Steering by Wire) is replacing the traditional steering device of vehicle. Firstly this paper introduces the principle and structure of SBW, then discusses how to model the kinetic equation of SBW and how to simplify the model reasonably, and then obtains the control model of SBW. To meet the system requirement of robust p...

1Department of Psychology, Faculty of Philosophy, University of Novi Sad, Serbia 2Laboratory for Experimental Psychology, Faculty of Philosophy, University of Belgrade, Serbia 3Quantitative Linguistics, Faculty of Philosophy, Eberhardt Karls Univeristy, Tuebingen, Germany 4Psychology Department, University at Albany, State University of New York, USA 5Haskins Laboratories, New Haven, Connecticu...

Unlike in Newtonian mechanics, in the theory of relativity, the coordinate axis is not fixed, and the time axis serves as the background for the observation. In other words, the theory of relativity is background independent (BI). The quantum theory created in the micro-world, in contrast, is background dependent (BD). Efforts to unify both by BI have not yielded much success. In addition, it i...

The retail industry has changed significantly due to altered shopping behavior of customers and technological advancements in recent years. This enforces organizations to quickly adapt to these dynamically evolving circumstances. Most of the major organizations utilize Business intelligence (BI) to support their corporate strategies. Therefore, the adaptability of BI gained increasing importanc...

in this paper, we investigate the existence of infinitely many solutions for a bi-nonlocal equation with sign-changing weight functions. we use some natural constraints and the ljusternik-schnirelman critical point theory on c1-manifolds, to prove our main results.