LEPTON MASSES IN AN SU(3)L-CIRCLE-TIMES-U(1)N GAUGE-MODEL

The SU(3)cxSU(3)LxU(1)N model of Pisano and Pleitez extends the standard model in a particularly nice way, so that, for example, the anomalies cancel only when the number of generations is divisible by 3. The original version of the model has some problems accounting for the lepton masses. We resolve this problem by modifying the details of the symmetry-breaking sector in the model.

Na 1 Nachlass Max Horkheimer, 705 - Studien über Nationalismus und Autorität; Darmstädter Gemeindestudie; "Project on Attitudes of German Youth" u.a. (p. IX 176 - IX 181a)

"Gruppenuntersuchung über Nationalismus", Juni 1950. Typoskript mit handschriftlichen Ergänzungen von Friedrich Pollock, 18 Blatt; "Beitrag des Instituts für Sozialforschung zu dem Forschungsobjekt (Forschungsprojekt?) über Autorität", 1950/51, a) Typoskript, 5 Blatt, b) Typoskript mit dem Titel "New Project on Authority" mit handschriftlichen Korrekturen, 7 Blatt; "Memorandum über eine Studie zum Problem der Autorität im deutschen Erziehungswesen", ca. 1950. Typoskript, 4 Blatt; "Darmstädter Gemeindestudie", 1950-52: 1. Theodor W. Adorno: "Memorandum re: Stand der Darmstädter Gemeindestudie bei der Abreise von Theodor W. Adorno", 15.10.1952. Typoskript mit eigenhändigen Korrekturen, 2 Blatt; 2. Ansprache bei der Überreichung der ersten Publikationen der Studie an den Minister und den Bürgermeister von Darmstadt, 2.7.1952, Typoskript, 9 Blatt; 3. Max Horkheimer: "Gutachten über die Darmstädter Gemeindestudie", 1.4.1952. Typoskript, 2 Blatt; 4. "Memorandum on the Participation of the Institute of Social Research in the Darmstadt Community Study", 31.3.1952. Typoskript, 3 Blatt; 5. Theodor W. Adorno: 'Memorandum re: Darmstadt', 4.9.1951. Typoskript, 1 Blatt; 6. "Eine Untersuchung über die Einstellung der Arbeitnehmer zu ihren wirtschaftlichen Interessenvertretungen (Darmstädter Gemeindestudie). Entwurf", 20.7.1951. Typoskript mit handschriftlichen Korrekturen, 6 Blatt; 7. Theodor W. Adorno: "Memorandum über zwei an das Institut für Sozialforschung zu vergebende Aufträge im Rahmen der Darmstädter Gemeindestudie". Typoskripte, 6 Blatt; 8. Theodor W. Adorno: "Aktennotiz über die Besprechung am 20. November 1950 zwischen den Leitern der Darmstädter Gemeindestudie, insbesondere Dr. Grigsy und Magnifizenz Rolfes, und Theodor W. Adorno". Typoskript, 2 Blatt; 9. Bemerkungen zum Abbruch und zur Neuorganisation der Studie, für eine Rede in Chicago, Typoskript, englisch, ohne Datum, 1 Blatt; "Outline of a Study of In-Between-Culture" ("Edelkitsch"), Anfang der 1950er Jahre. Typoskript, englisch, 1 Blatt; "Project on Attitudes of German Youth", 1951: 1. "Some Remarks of the Present German Social Situation", a) Typoskript, 24 Blatt, b) Typoskript mit handschriftlichen Korrekturen, 23 Blatt, c) Typoskript, 23 Blatt, d) Typoskript, 21 Blatt, e) Entwurf, Typoskript, 23 Blatt; 2. "Estimate for six month project on Attitudes of German Youth", 2 Blatt; Institut für Sozialforschung: "Umfrage unter Frankfurter Studenten" (Max Horkheimer: "Vorbemerkung"): Über die soziale Situation und die Einstellun der Studenten, 1952, Ergebnisse eines Praktikums zur empirischen Sozialforschung, Wintersemester 1951/52, als Typoskript vervielfältigt, gebunden, 126 Blatt;

The 'hard problem' and the quantum physicists. Part 1:the first generation

All four of the most important figures in the early twentieth-century development of quantum physics-Niels Bohr, Erwin Schroedinger, Werner Heisenberg and Wolfgang Pauli-had strong interests in the traditional mind-brain, or 'hard,' problem. This paper reviews their approach to this problem, showing the influence of Bohr's complementarity thesis, the significance of Schroedinger's small book, 'What is life?,' the updated Platonism of Heisenberg and, perhaps most interesting of all, the interaction of Carl Jung and Wolfgang Pauli in the latter's search for a unification of mind and matter. © 2005 Elsevier Inc. All rights reserved.

U.S. wildfire governance as social-ecological problem

There are fundamental spatial and temporal disconnects between the specific policies that have been crafted to address our wildfire challenges. The biophysical changes in fuels, wildfire behavior, and climate have created a new set of conditions for which our wildfire governance system is poorly suited to address. To address these challenges, a reorientation of goals is needed to focus on creating an anticipatory wildfire governance system focused on social and ecological resilience. Key characteristics of this system could include the following: (1) not taking historical patterns as givens; (2) identifying future social and ecological thresholds of concern; (3) embracing diversity/heterogeneity as principles in ecological and social responses; and (4) incorporating learning among different scales of actors to create a scaffolded learning system.

An alternative to the Pythagorean rule? Reevaluating Problem 1 of cuneiform tablet BM 34 568

The first problem of the Seleucid mathematical cuneiform tablet BM 34 568 calculates the diagonal of a rectangle from its sides without resorting to the Pythagorean rule. For this reason, it has been a source of discussion among specialists ever since its first publication. but so far no consensus in relation to its mathematical meaning has been attained. This paper presents two new interpretations of the scribe`s procedure. based on the assumption that he was able to reduce the problem to a standard Mesopotamian question about reciprocal numbers. These new interpretations are then linked to interpretations of the Old Babylonian tablet Plimpton 322 and to the presence of Pythagorean triples in the contexts of Old Babylonian and Hellenistic mathematics. (C) 2007 Elsevier Inc. All rights reserved.

Minimizing total tardiness in a stochastic single machine scheduling problem using approximate dynamic programming

This paper addresses the non-preemptive single machine scheduling problem to minimize total tardiness. We are interested in the online version of this problem, where orders arrive at the system at random times. Jobs have to be scheduled without knowledge of what jobs will come afterwards. The processing times and the due dates become known when the order is placed. The order release date occurs only at the beginning of periodic intervals. A customized approximate dynamic programming method is introduced for this problem. The authors also present numerical experiments that assess the reliability of the new approach and show that it performs better than a myopic policy.

Matrix elements of U(2n) generators in a multishell spin-orbit basis. I. The del-operator MEs in a two-shell composite Gelfand-Paldus basis

This is the first in a series of three articles which aimed to derive the matrix elements of the U(2n) generators in a multishell spin-orbit basis. This is a basis appropriate to many-electron systems which have a natural partitioning of the orbital space and where also spin-dependent terms are included in the Hamiltonian. The method is based on a new spin-dependent unitary group approach to the many-electron correlation problem due to Gould and Paldus [M. D. Gould and J. Paldus, J. Chem. Phys. 92, 7394, (1990)]. In this approach, the matrix elements of the U(2n) generators in the U(n) x U(2)-adapted electronic Gelfand basis are determined by the matrix elements of a single Ll(n) adjoint tensor operator called the del-operator, denoted by Delta(j)(i) (1 less than or equal to i, j less than or equal to n). Delta or del is a polynomial of degree two in the U(n) matrix E = [E-j(i)]. The approach of Gould and Paldus is based on the transformation properties of the U(2n) generators as an adjoint tensor operator of U(n) x U(2) and application of the Wigner-Eckart theorem. Hence, to generalize this approach, we need to obtain formulas for the complete set of adjoint coupling coefficients for the two-shell composite Gelfand-Paldus basis. The nonzero shift coefficients are uniquely determined and may he evaluated by the methods of Gould et al. [see the above reference]. In this article, we define zero-shift adjoint coupling coefficients for the two-shell composite Gelfand-Paldus basis which are appropriate to the many-electron problem. By definition, these are proportional to the corresponding two-shell del-operator matrix elements, and it is shown that the Racah factorization lemma applies. Formulas for these coefficients are then obtained by application of the Racah factorization lemma. The zero-shift adjoint reduced Wigner coefficients required for this procedure are evaluated first. All these coefficients are needed later for the multishell case, which leads directly to the two-shell del-operator matrix elements. Finally, we discuss an application to charge and spin densities in a two-shell molecular system. (C) 1998 John Wiley & Sons.

Level-one highest weight representations of U-q[g1(1 vertical bar 1)] and associated vertex operators

We study the level-one irreducible highest weight representations of U-q[gl(1\1)] and associated q-vertex operators. We obtain the exchange relations satisfied by these vertex operators. The characters and supercharacters associated with these irreducible representations are calculated'. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

Bosonized q-vertex operators related to the four-dimensional evaluation modules of the quantum affine superalgebra U-q[sl((2) over cap\1)] are constructed for arbitrary level k=alpha, where alpha not equal 0,-1 is a complex parameter appearing in the four-dimensional evaluation representations. They are intertwiners among the level-alpha highest weight Fock-Wakimoto modules. Screen currents which commute with the action of U-q[sl((2) over cap/1)] up to total differences are presented. Integral formulas for N-point functions of type I and type II q-vertex operators are proposed. (C) 2000 American Institute of Physics. [S0022-2488(00)00608-3].

Level-one highest weight representation of U-q[sl((N)over-cap vertical bar 1)] and Bosonization of the multicomponent Super t-J model

We study the level-one irreducible highest weight representations of the quantum affine superalgebra U-q[sl((N) over cap\1)], and calculate their characters and supercharacters. We obtain bosonized q-vertex operators acting on the irreducible U-q[sl((N) over cap\1)] modules and derive the exchange relations satisfied by the vertex operators. We give the bosonization of the multicomponent super t-J model by using the bosonized vertex operators. (C) 2000 American Institute of Physics. [S0022- 2488(00)00508-9].

Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

By generalizing the Reshetikhin and Semenov-Tian-Shansky construction to supersymmetric cases, we obtain the Drinfeld current realization for the quantum affine superalgebra U-q[gl(m\n)((1))]. We find a simple coproduct for the quantum current generators and establish the Hopf algebra structure of this super current algebra.

On the intersection problem for 1-factorizations and near 1-factorizations of K-v

The number of 1-factors (near 1-factors) that mu 1-factorizations (near 1-factorizations) of the complete graph K-v, v even (v odd), can have in common, is studied. The problem is completely settled for mu = 2 and mu = 3.

On the Hamilton-Waterloo problem

The Hamilton-Waterloo problem asks for a 2-factorisation of K-v in which r of the 2-factors consist of cycles of lengths a(1), a(2),..., a(1) and the remaining s 2-factors consist of cycles of lengths b(1), b(2),..., b(u) (where necessarily Sigma(i)(=1)(t) a(i) = Sigma(j)(=1)(u) b(j) = v). In thus paper we consider the Hamilton-Waterloo problem in the case a(i) = m, 1 less than or equal to i less than or equal to t and b(j) = n, 1 less than or equal to j less than or equal to u. We obtain some general constructions, and apply these to obtain results for (m, n) is an element of {(4, 6)1(4, 8), (4, 16), (8, 16), (3, 5), (3, 15), (5, 15)}.

Anomaly-free U(1) gauge symmetries in neutrino seesaw flavor models

Agência Financiadora: Fundação para a Ciência e a Tecnologia (FCT) - PEst-OE/FIS/UI0777/2013; CERN/FP/123580/2011; PTDC/FIS-NUC/0548/2012