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...

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...

Purpose The purposes of this commentary are to further an on-going debate concerning the appropriate form of land use baseline for attributional life cycle assessment (LCA) and to respond to a number of arguments advanced by Soimakallio (Int J Life Cycle Assess 20:1364–1375, 2016). The commentary also seeks to clarify the conceptual nature of attributional LCA. Methods The overarching approach ...

This commentary reflects upon the article along three broad lines. It reflects on the theoretical choices and omissions, particularly highlighting why it is important to adapt the multiple streams framework (MSF) when applying it in a socio-political context like Vietnam’s. The commentary also reflects upon the analytical threads tackled by Ha et al; for instance, it highlights the opportunitie...