The discovery of the tau lepton and the third generation of fermions came from the convergence of three physics streams in the late 1960’s and early 1970’s. These streams were: the failed attempts by myself and others to understand the connection between the electron and the muon, the development of electron-positron storage rings, and the development of the theory of sequential leptons. In thi...

In this paper we propose the problem of finding the cyclic sequence which best represents a set of cyclic sequences. Given a set of elements and a precedence cost matrix we look for the cyclic sequence of the elements which is at minimum distance from all the ranks when the permutation metric distance is the Kendall Tau distance. In other words, the problem consists of finding a robust cyclic r...

In this study, an iterative factorial multimodel Bayesian copula (IFMBC) framework was developed for revealing uncertainties in risk inferences of compound extremes under the consideration diverse model structures and parameter sets. Particularly, analysis (IFA) method would be advanced IFMBC to track dominant contributors imprecise predictions multi-hazard risks. The applied assessment floods ...

cortex leading to the discovery of cortisone (Mason, Myers and Kendall, 1936; Wintersteiner and Pfiffner, 1936 ; Reichstein, 1936). The beneficial effect of pregnancy on rheumatoid arthritis was first observed by Hench in 1938 but the antirheumatic arthritic action of cortisone was established as late as 1949 by Hench, Kendall and their collaborators. Since then beneficial effect of cortisone h...

This paper bears on the comparison of two well-known metrics between linear orders called the Kendall and Spearman metrics or/and of their normalized versions respectively known as the Kendall tau and the Spearman rho. Using a combinatorial approach based on the partial order intersection of the two compared linear orders, we first prove a relation between these two metrics and a semi-metric, e...

We present a general analysis of SU(3) breaking effects in the semi-inclusive tau hadronic width. The recent ALEPH measurements of the inclusive Cabibbo–suppressed decay width of the τ and several moments of its invariant mass distribution are used to determine the value of the strange quark mass. We obtain, in the MS scheme, ms(M 2 τ ) = (119± 24) MeV to O(α 3 s), which corresponds to ms(1GeV ...

Given m permutations π, π . . . π of {1, 2, . . . , n} and a distance function d, the median problem is to find a permutation π that is the ”closest” of the m given permutations. More formally, we want to find π such that, for all π ∈ Sn, ∑m i=1 d(π , π) ≤ ∑m i=1 d(π, π ). (ICI, BIBLIO DE CE QUI A ETE FAIT) In this article, we choose to study the problem under the Kendall-Tau distance, denoted ...

We calculate the differential decay rate for inclusive B̄ → τ ν̄ X transitions to order 1/m2b in the heavy quark expansion, for both polarized and unpolarized tau leptons. We show that using a systematic 1/mb expansion significantly reduces the theoretical uncertainties in the calculation. We obtain for the total branching ratio BR(B̄ → τ ν̄ X) = 2.30±0.25%, and for the tau polarization Apol = −0.7...

Information entropy (H) is a measure of uncertainty at each position within in a sequence of nucleotides. H was used to characterize a set of influenza A segment 7 nucleotide sequences. Nucleotide locations of high entropy were identified near the 5’ start of all of the sequences and the sequences were assigned to subsets according to synonymous nucleotide variants at those positions: either ur...