It has been shown in recent analyses by ALEPH [1] and OPAL [2] that precision QCD tests are possible with hadronic τ decays by comparing spectral moments of the hadronic decay ratio of the τ with QCD calculations. In principle e+e− data can be used in a similar manner by evaluating spectral moments of R. The current e+e− data is compared with the OPAL τ data and a prediction is made on the achi...

An interval number system is given by an initial interval cover of the extended real line and by a finite system of nonnegative Möbius transformations. Each sequence of transformations applied to an initial interval determines a sequence of nested intervals whose intersection contains a unique real number. We adapt in this setting exact real algorithms which compute arithmetical operations to a...

We present results on the exchange cross section for the interaction between a hard binary and a field of single stars, for arbitrary masses. The results are based partly on extensive numerical scattering experiments, and partly on analytic estimates of the mass-dependence of the cross section. They can be used to estimate the rate of exchange in an arbitrary mixture of masses, provided that th...

The decay rate of SIS epidemics on the complete graph KN is computed analytically, based on a new, algebraic method to compute the second largest eigenvalue of a stochastic three-diagonal matrix up to arbitrary precision. The latter problem has been addressed around 1950, mainly via the theory of orthogonal polynomials and probability theory. The accurate determination of the second largest eig...

3 Binary Scientific Numbers 9 3.1 Multiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.2.1 The Case p− n > q −m . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.2.2 The Case p− n < q −m . . . . . . . . ....

The all-time behavior provides a robustness algorithm by allowing it to be interrupted at any point in the process, while ensuring that the best possible response is delivered when the stop request occurs. This work proposes a methodology to identify the relationship of the parameters of an optimization algorithm by colony of ants with its behavior at-all-moment, allowing to implement a techniq...

Tension experiments in vacuum were performed on a monolithic Si3N4 sample at 1375°C and a 20Vol% SiCp-Si3N4 composite sample at 1400°C using the new SMARTS diffractometer at the Los Alamos Neutron Science Center. The deep penetration of neutrons facilitated these in-situ studies. In particular, the hkl-dependent strains were measured and the results interpreted by Eshelby-based modeling for the...