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 prove that the multiplicity of an arbitrary dominant weight for an integrable highest weight representation of the affine Kac-Moody algebra A (1) r is a polynomial in the rank r. In the process we show that the degree of this polynomial is less than or equal to the depth of the weight with respect to the highest weight. These results allow weight multiplicity information for small ranks to b...

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...

This paper introduces Open Planning Process Panels (O-P3). These panels are based on explicit models of the planning process and are used to coordinate the development and evaluation of multiple courses of action. We describe the generic ideas behind O-P3 technology, a general methodology for building O-P3 interfaces and two applications based on O-P3 technology: the Air Campaign Planning Proce...

Guided by the cooperation theory, this paper puts forward an interactive and cooperative learning environment design that is based on the self-learning mode and cooperative learning mode, CSCW, Computer Supported Cooperative Work. It includes the research of colony working method and the technologies supporting it as well, and the exploitation of the application system to improve the ways of in...

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...