We consider dimer models on graphs which are bipartite, periodic and satisfy a geometric condition called isoradiality, defined in [18]. We show that the scaling limit of the height function of any such dimer model is 1/ √ π times a Gaussian free field. Triangular quadri-tilings were introduced in [6]; they are dimer models on a family of isoradial graphs arising form rhombus tilings. By means ...

The locomotion of articulated mechanical systems is often complex and unintuitive, even when considered with the aid of reduction principles from geometric mechanics. In this paper, we present two tools for gaining insights into the underlying principles of locomotion: connection vector fields and connection height functions. Connection vector fields illustrate the geometric structure of the re...

Inspired by developments in attribute based encryption and signatures, there has recently been a spurt of progress in the direction of threshold attribute based signatures (t-ABS). In this work we propose a novel approach to construct threshold attribute based signatures inspired by ring signatures. Threshold attribute based signatures, defined by a (t, n∗) threshold predicate, ensure that the ...

defuzzifier circuit is one of the most important parts of fuzzy logic controllers that determine the output accuracy. the center of gravity method (cog) is one of the most accurate methods that so far been presented for defuzzification. in this paper, a simple algorithm is presented to generate triangular output membership functions in the mamdani method using the multiplier/divider circuit and...

BACKGROUND Ideal dental restoration is one which not only restores optimal functions but also confirm to standard dental and facial relations. This is important to achieve long term patient satisfaction both with regard to esthetics as well as functions. Objective was to find a credible relationship between dental and facial proportions using height of individuals as the criteria in a specific ...