Bringing closure to the host of open questions posed by the current Standard Model for particle physics (SM) continues to be a major challenge for theoretical physics community. Motivated by recent advances in the study of complex systems, our work suggests that the pattern of particle masses and gauge couplings emerges from the critical dynamics of renormalization group equations. Using the ε-...

Joan Feigenbaum Technical Report YALEU/DCS/TR-­‐1448 December 2011 Support for anonymous communication in hostile environments is the main goal of DARPA’s “Safer Warfighter Communications” program (DARPA-­‐BAA-­‐10-­‐69: SAFER). Despite the fact that the word is regularly encountered in common parlance, “anonymity” is actually a subtle concept – one that the computer-­‐science community has ...

We report on numerical results for certain families of S-unimodal maps with flat critical point. For four one-parameter families, differing in their amount of flatness, we study the Feigenbaum-limits α and δ. There seems to be a finite δ and a finite α associated with each period doubling cascade in each family. Some rough numerical estimates are obtained. One would expect that these numbers sh...

Introduction Statistical process control (SPC) has been widely used as an aid for managing manufacturing processes. Many books have been published which outline the basics of SPC (e.g. Feigenbaum, 1983; Juran, 1975; Oakland and Followell, 1990), and organizations such as the Ford Motor Company (1986) have also published their own guides. The underlying problem which statistical process control ...

In the crystal structure of the title polymeric compound, [C42H38N6O33Sr5.2(H2O)]n, five independent metal atoms (Sr1-Sr5) have different coordination environments. The Sr1 and Sr5 atoms are nine coordinated and feature distorted tricapped trigonal-prismatic and capped square-antiprismatic geometries, respectively....

The equilibrium constants and kinetics for the complexing of aqueous iron(m) by 2,3dihydroxybenzoic acid (DHB) and 1,2-dihydroxy-3~-benzenedisulfo~te (Tiron) have been studied with iron(IIl) in excess over ligand. Formation constant comparisons indicate that DHB complexes in a mode analogous to salicylate. The reaction rate has the hydrogen ion dependence typical for iron(m) complexation, but t...

a method for predicting liquid densities of binary mixtures from heat of vaporization and liquid densityat boiling point temperature (δhvap and n b ρ ) as scaling constants, is presented. b2(t) follows a promisingcorresponding-states principle. calculation of α(t) and b(t), the two other temperature-dependentconstants of the equation of state, are made possible by scaling. as a result δhvap and...

A Competitive spectrophotometric method has been used for the study of complexation between Cu2+, Zn2+ and Cd2+ (M) and 18-crown-6(18C6, B) in methanol using 4-(2-thiazolylazo) resorcinol (TAR, HL) as the colorimetric complexant. Absorption spectra of the species in the M-TAR-18 C6 system at a various concentrations of 18C6 showed no formation of ternary com...

in order to represent the potential energy function over the whole range of r, many potentialenergy functions have been proposed. in the present paper, we employ many potential energyfunctions, to use numerov method for solving the nuclear schrödinger equation for the ifmolecule, as an example of a heteronuclear diatomic molecules. then we determine thespectroscopic constants eω , e e x ω , e b...

in this paper we will prove that if $l$ is a continuous symmetric n-linear form on a hilbert spaceand $widehat{l}$ is the associated continuous n-homogeneous polynomial, then $||l||=||widehat{l}||$.for the proof we are using a classical generalized  inequality due to s. bernstein for entire functions of exponential type. furthermore we study the case that if x is a banach space then we have tha...