In this paper the classical propositional assumption-based model is extended to incorporate probabilities for the assumptions. Then the whole model is placed into the framework of the Dempster-Shafer theory of evidence. Laskey, Lehner [1] and Provan [2] have already proposed a similar point of view but these papers do not emphasize the mathematical foundations of the probabilistic assumptionbas...

Matthew Choptuik, Luis Lehner, Ignacio ~Iñaki! Olabarrieta, Roman Petryk, Frans Pretorius, and Hugo Villegas CIAR Cosmology and Gravity Program, Canada Department of Physics and Astronomy, University of British Columbia, Vancouver, Canada V6T 1Z1 Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70810, USA Theoretical Astrophysics 130-033, California Instit...

This note is a detailed explanation of Shanks–Atkin NUCOMP— composition and reduction carried out “simultaneously”—for all quadratic fields, that is, including real quadratic fields. That explanation incidentally deals with various “exercises” left for confirmation by the reader in standard texts. Extensive testing in both the numerical and function field cases by Michael J Jacobson, Jr, report...

conjugation, c, 5anti-cyclotomic p-adic L-function, L (π), 6Atkin–Serre operator, Θord, 13 canonical pairing, ( ,)A, 23convergent modular form, M(m,K), 14admissible, 15of finite tame level, M[ (m,K), 14stable, M[ (m,K)♥, 14universal, 15 distribution algebraA-related, D(A,K), 25ω-related, D(ω,K), 25π-related, D(π), 4 global Lubin–Tate different...

The purpose of this paper is to study the space ΘD generated by the binary theta series θf attached to the primitive, positive-definite binary quadratic forms f(x, y) = ax + bxy + cy of discriminant D = b − 4ac < 0. It is curious that while much has been written about the space generated by theta series attached to quadratic forms in 2k ≥ 4 variables (cf. [10] and the references therein), the b...

David Neilsen, Steven L. Liebling, Matthew Anderson, Luis Lehner, Evan O’Connor, and Carlos Palenzuela Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA Department of Physics, Long Island University, Brookville, New York 11548, USA Pervasive Technology Institute, Indiana University, Bloomington, Indiana 47405, USA Perimeter Institute for Theoretical Physics, ...

Nigel T. Bishop, Roberto Gómez, Luis Lehner, Manoj Maharaj, and Jeffrey Winicour Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, Pretoria 0003, South Africa Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260 Center for Relativity, The University of Texas at Austin, Austin, Texas 78712 Department o...

Matthew Anderson, Eric W. Hirschmann, Luis Lehner, Steven L. Liebling, Patrick M. Motl, David Neilsen, Carlos Palenzuela, and Joel E. Tohline Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA Department of Physics, Long Island University–C.W. Post Campus, B...