In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...

Firstly, two kinds of natural distances between intuitionistic fuzzy sets are generated by the classical natural distance between fuzzy sets under a unified framework of residual intuitionistic implication operators. Secondly, the continuity and approximation property of a method for solving intuitionistic fuzzy reasoning are defined. It is proved that the triple implication method for intuitio...

The present Standard Model prediction for muon g − 2 is reviewed. Emphasis is put in discussing the main hadronic uncertainties at present. August 2001 Invited talk at “Kaon 2001”, 6-13 June 2001, Pisa, Italy. Work supported in part by the European Union TMR Network EURODAPHNE (Contract No. ERBFMX-CT98-0169), by MCYT, Spain (Grant No. FPA2000-1558), and by Junta de Andalućıa, (Grant No. FQM-101).

We classify all the embeddings of Pn in a Grassmannian Gr(1, N) such that the composition with the Plücker embedding is given by a linear system of cubics on Pn. As a direct corollary, we prove that every vector bundle giving such an embedding, splits if n ≥ 3.

objective: attention deficit hyperactivity disorder (adhd) is a chronic, highly prevalent neurodevelopmental disorder which affects 9% of school-age children. triple p-positive parenting program is an evidence-based parenting program reported to be useful in the management of this disorder. the aim of this randomized controlled trial was to evaluate the effectiveness of triple p in mothers of a...

Let G be a finite abelian group and E a subset of it. Suppose that we know for all subsets T of G of size up to k for how many x ∈ G the translate x + T is contained in E. This information is collectively called the k-deck of E. One can naturally extend the domain of definition of the k-deck to include functions on G. Given the group G when is the k-deck of a set in G sufficient to determine th...

The author acknowledges a TMR grant of the European Union. I am grateful to the Ministry of Planning of Rwanda which provides me with the data, and in which I worked from 1984 to 1988 as a technical adviser for the French Cooperation and Development Ministry. I thank participants in seminars at University of Oxford, INRAIDEI at Toulouse, and STICERD at the London School of Economics for their c...