Consider a self-similar space X . A typical situation is that X looks like several copies of itself glued to several copies of another space Y , and Y looks like several copies of itself glued to several copies of X , or the same kind of thing with more than two spaces. Thus, the self-similarity of X is described by a system of simultaneous equations. Here I formalize this idea and the notion o...

Objective-To develop a simple, economically viable, and effective means of population screening for diabetes mellitus. Design-A postal request system for self testing for glycosuria with foil wrapped dipsticks. Preprandial and postprandial tests were compared with a single postprandial test. The subjects were instructed how to test, and a result card was supplied on which to record and return t...

It is well known that the general variational inequalities are equivalent to the fixed point problems and the Wiener–Hopf equations. In this paper, we use these alternative equivalent formulations to suggest and analyze some new self-adaptive iterative methods for solving the general variational inequalities. Our results can be viewed as a significant extension of the previously known results f...

Javier Reguera, Edward Malachosky, Matthew Martin, Moritz Tebbe, Bruce Law, Lucio Isa, Helmuth Moehwald, Yangwei Liu, Fernando Bresme, Dhanavel Ganeshan, Christopher Sorensen, Suvojit Ghosh, Andreas Fery, Petr Král, Asaph Widmer-Cooper, Christina Graf, Almudena Gallego, David Schiffrin, Brian Korgel, Gunadhor Okram, Subramanian Sankaranarayanan, Yifan Wang, Toshiharu Teranishi, K. Michael Saler...

The non-linear relation imposed by gauge invariance on the thermal self-energy of gluons, has been recently discussed by Weldon in an interesting paper [1]. He proved that in QCD, the Slavnov-Taylor identities [2,3] require a non-linear constraint among the structure functions which occur at finite temperature. In this brief report, we show that a similar behavior occurs in the gauge theory of ...

We present general relativistic solutions for self-similar spherical perturbations in an expanding cosmological background of cold pressure-less gas. We focus on solutions having shock discontinuities propagating in the surrounding cold gas. The pressure, p, and energy-density, μ, in the shock-heated matter are assumed to obey p = wμ, where w is a positive constant. Consistent solutions are fou...

The gravitational interaction is scale-free in both Newtonian gravity and general theory of relativity. The concept of self-similarity arises from this nature. Self-similar solutions reproduce themselves as the scale changes. This property results in great simplification of the governing partial differential equations. In addition, some self-similar solutions can describe the asymptotic behavio...

Yugang Sun, Leonardo Scarabelli, Nicholas Kotov, Moritz Tebbe, Xiao-Min Lin, Ward Brullot, Lucio Isa, Peter Schurtenberger, Helmuth Moehwald, Igor Fedin, Orlin Velev, Damien Faivre, Christopher Sorensen, Régine Perzynski, Munish Chanana, Zhihai Li, Fernando Bresme, Petr Král, Emre Firlar, David Schiffrin, Joao Batista Souza Junior, Andreas Fery, Elena Shevchenko, Ozgur Tarhan, Armand Paul Alivi...

Given an asynchronous network with at most nodes we present a self-stabilizing distributed algorithm for routing (nodes can be added or can crash at any time, so their number can vary up to the upper bound n). It starts in some arbitrary state, with no knowledge of the network architecture and eventually builds in each node a correct routing table regarding the t closest neighbors (t depends on...