1,017 research outputs found

    Normality Operators and Classical Collapse

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    In this paper, we extend the expressive power of the logics K3, LP and FDE with anormality operator, which is able to express whether a for-mula is assigned a classical truth value or not. We then establish classical recapture theorems for the resulting logics. Finally, we compare the approach via normality operator with the classical collapse approach devisedby Jc Beall

    Branching laws for spherical harmonics on superspaces in exceptional cases

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    It turns out that harmonic analysis on the superspace R^{m|2n} is quite parallel to the classical theory on the Euclidean space R^{m} unless the superdimension M:=m-2n is even and non-positive. The underlying symmetry is given by the orthosymplectic superalgebra osp(m|2n). In this paper, when the symmetry is reduced to osp(m-1|2n) we describe explicitly the corresponding branching laws for spherical harmonics on R^{m|2n} also in exceptional cases. In unexceptional cases, these branching laws are well-known and quite analogous as in the Euclidean framework

    Konformní zobrazení nejen v rovině

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    Nazev prace: Konformnf zobrazenf nej'en v roving Autor; Lucie Markova Katedra (ustav): Matematicky ustav UK Vedoucf bakalafske prace: RNDr. Roman Lavidka, Ph.D. E-mail vedoucfho; [email protected] Abstrakt: V predlozene praci studujeme konforrnm' a antikonformm' zobrazenf v roving i v prostorech vyggfch dimcnzf. Pro pochopenf a dokazanf existence mnoha konformm'ch zobrazenf v roving jsou vylozeny zakladnf partie z kom- piexnf analyzy. Teorieje ilustrovana na mnoha konkretnfch pnldadech, nejdulezi- tejsi'mi jsou stereograficka projekce, inverze a Mobiovy transformace. Dale je v praci vysvetleno, pro^ jsou konformnf zobrazem' vc vyssi'ch dimenzi'ch vzacnd a jak Ize v dimenzi 4 popsat Mobiovy transformace pomocf kvaternionu. Na prilozenem CDje tato prace ve formatu PDF a zdrojove kddy k obrazkum, ktere jsem vytvofiJa v programu Mathematica. Klfcova slova: konformnf zobrazenf, Mobiovy transformace, kvaterniony, zobrazenf zachovavajfcf uhly Title: Conformal mappings not onJy in the pJane Author: Lucie Markova Department: Mathematical Institute of Charles University Supervisor: RNDr. Roman Lavicka, Ph.D. Supervisor's e-mail address: Roman,[email protected] Abstract; In the present work we study conformal and anti-conformal mappings in the plane and in spaces of higher dimensions. Basics of complex..

    Konformní zobrazení nejen v rovině

    No full text
    Nazev prace: Konformnf zobrazenf nej'en v roving Autor; Lucie Markova Katedra (ustav): Matematicky ustav UK Vedoucf bakalafske prace: RNDr. Roman Lavidka, Ph.D. E-mail vedoucfho; [email protected] Abstrakt: V predlozene praci studujeme konforrnm' a antikonformm' zobrazenf v roving i v prostorech vyggfch dimcnzf. Pro pochopenf a dokazanf existence mnoha konformm'ch zobrazenf v roving jsou vylozeny zakladnf partie z kom- piexnf analyzy. Teorieje ilustrovana na mnoha konkretnfch pnldadech, nejdulezi- tejsi'mi jsou stereograficka projekce, inverze a Mobiovy transformace. Dale je v praci vysvetleno, pro^ jsou konformnf zobrazem' vc vyssi'ch dimenzi'ch vzacnd a jak Ize v dimenzi 4 popsat Mobiovy transformace pomocf kvaternionu. Na prilozenem CDje tato prace ve formatu PDF a zdrojove kddy k obrazkum, ktere jsem vytvofiJa v programu Mathematica. Klfcova slova: konformnf zobrazenf, Mobiovy transformace, kvaterniony, zobrazenf zachovavajfcf uhly Title: Conformal mappings not onJy in the pJane Author: Lucie Markova Department: Mathematical Institute of Charles University Supervisor: RNDr. Roman Lavicka, Ph.D. Supervisor's e-mail address: Roman,[email protected] Abstract; In the present work we study conformal and anti-conformal mappings in the plane and in spaces of higher dimensions. Basics of complex..

    Development of automatic luminosity calculation framework

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    Up-to-date knowledge on the collected number of events and integrated luminosity is crucial for the ALICE data taking and trigger strategy planning. The purpose of the project is to develop a framework for the automatic recalculation of achieved statistics and integrated luminosity on a daily basis using information from the ALICE data base. We have been encouraged encouraged to work on the improvement of available luminosity calculation algorithms, in particular accounting for pile-up corrections. Results are represented in a form of trending plots and summary tables for different trigger classes and stored in the personal web site of the author with an outlook on the possibility to story it in the ALICE monitoring repository

    Miscellany/Mélanges

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    Lester G. Crocker, Voltaire and the political philosophers R. Galliani, Voltaire, Astruc, et la maladie vénérienne R. Galliani, La date de composition du Songe de Platon par Voltaire Richard Waller, Voltaire's 'pension from the Regent': Foulet was right D. W. Smith, The publication of Micromégas Maureen F. O'Meara, Linguistic power-play: Voltaire's considerations on the evolution, use and abuse of language Jan Lavicka, Voltaire et la Bohême Francisco Lafarga, Essai de bibliographie critique de 'Voltaire et l'Espagne' Sean O'Cathasaigh, Bayle and the authorship of the Avis aux Réfugiez Geneviève Menant-Artigas, Boulainvilliers et madame de Lambert B. L. H. Lewis, The influence of Chasles' Illustres Françoises on Prévost's Cleveland Pierre Saint-Amand, Rousseau contre la science: l'exemple de la botanique dans les textes autobiographiques Colette Piau-Gillot, La misogynie de J. J. Rousseau Suzanne Guerlac, The tableau and authority in Diderot's aesthetics Jean-Claude David, Documents inédits concernant l'Histoire d'Hérodote de Pierre Henry Larcher (1786) Sylvette Milliot, L'évolution du violon et du violoncelle au dix-huitième siècle A. G. Cross, The eighteenth-century Russian theatre through British eyes Arend H. Huussen Jr. and Homme J. Wedman, L'émancipation des Juifs aux Pays-Bas: aspects politiques et socio-culturels Mireille Gille, La 'Lettre d'Italie' au dix-huitième siècle: forme et signification P. Swiggers, Studies on the French eighteenth-century grammatical tradition C. P. Courtney, The Portrait of Zélide: Geoffrey Scott and Belle de Zuylen David Coward, Laclos studies, 1968-198

    Miscellany/Mélanges

    No full text
    Lester G. Crocker, Voltaire and the political philosophers R. Galliani, Voltaire, Astruc, et la maladie vénérienne R. Galliani, La date de composition du Songe de Platon par Voltaire Richard Waller, Voltaire's 'pension from the Regent': Foulet was right D. W. Smith, The publication of Micromégas Maureen F. O'Meara, Linguistic power-play: Voltaire's considerations on the evolution, use and abuse of language Jan Lavicka, Voltaire et la Bohême Francisco Lafarga, Essai de bibliographie critique de 'Voltaire et l'Espagne' Sean O'Cathasaigh, Bayle and the authorship of the Avis aux Réfugiez Geneviève Menant-Artigas, Boulainvilliers et madame de Lambert B. L. H. Lewis, The influence of Chasles' Illustres Françoises on Prévost's Cleveland Pierre Saint-Amand, Rousseau contre la science: l'exemple de la botanique dans les textes autobiographiques Colette Piau-Gillot, La misogynie de J. J. Rousseau Suzanne Guerlac, The tableau and authority in Diderot's aesthetics Jean-Claude David, Documents inédits concernant l'Histoire d'Hérodote de Pierre Henry Larcher (1786) Sylvette Milliot, L'évolution du violon et du violoncelle au dix-huitième siècle A. G. Cross, The eighteenth-century Russian theatre through British eyes Arend H. Huussen Jr. and Homme J. Wedman, L'émancipation des Juifs aux Pays-Bas: aspects politiques et socio-culturels Mireille Gille, La 'Lettre d'Italie' au dix-huitième siècle: forme et signification P. Swiggers, Studies on the French eighteenth-century grammatical tradition C. P. Courtney, The Portrait of Zélide: Geoffrey Scott and Belle de Zuylen David Coward, Laclos studies, 1968-198

    The Human Issue, Fall 1970

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    https://kent-islandora.s3.us-east-2.amazonaws.com/node/17275/87113-thumbnail.jpgPatrons/Donors/Sponsors/Advertisers- Aladdin\u27s Restaurant &amp; Lounge, Thelma M. Anderson, Larry A. Andrews, Mary Beacom, Bernard Benstock, Thomas M.H. Blair, Glenn Burne, Chi Omega, James Cooney, Paul H. Cox, Robert Dyal, Susan P. Donoghue, Norman V. Duffy, John Fridy, Dan Fuller, G.E. Appliance Center, Gamma Phi Beta, Green Gas House - Division of Pro Arts Inc., Mildred K. Griffin, Yoshinobu Hakutani, Bruce Harkness, Frances P. Hassler, Ivy Corners, K-Shoppe, Richard C. Knopf, John P. Knapp, John E. Keating, Wayne Kvam, Jacob Leed, Dr. &amp; Mrs. Sanford E. Marovitz, Edgar L. McCormick, Edward G. McGehee, Lloyd Mills, William H. Morling, Morton\u27s Shoetique, Ohio Tuxedo, Johnstone Parr, Pisanello Pizza, Poot\u27s Snack Shop, Portage Travel Service, Ann T. Rautenstrauch, Karl R. Rissland, B.L. Smith, St. Marque\u27s Clothier, Larry Starsyk, Barbara C. Tener, Bedford Thurman, Town House, Helen Toye, Mrs. Don Van Dyke, Howard Vincent, Allyn Hall, Campus Supply, Clark Hall, Thomas M. Davis, Du Bois Bookstore, Louis Erdmann, Lyman Chevrolet, Kenneth R. Pringle, Margaret Schoenberg, Shirts &amp; Skirts, University Bookstore, Robert I. White, Wright Hall Additional staff-&nbsp;Beverly Gorsica,&nbsp;Helen Toye, Aileen Albers,&nbsp;Becky Andrews,&nbsp;Ken Berry,&nbsp;Karen Green,&nbsp;Lori Hennings,&nbsp;Norm Jensen,&nbsp;Ray Jones,&nbsp; Linda La Charity,&nbsp;Lois McCane,&nbsp;Ed Moyer,&nbsp;Trudy Rosen,&nbsp;Barb Siegel,&nbsp;Sue Spradlin,&nbsp;Doug Todd,&nbsp;Linda Woit Contributors-&nbsp;Jeff Katz,&nbsp;Gene Gant,&nbsp;Rosemary Fithian,&nbsp;Stephen Cormany,&nbsp;Bill Polak,&nbsp;Fred Tribuzzo,&nbsp;Catherine De Long,&nbsp;Jeff Schoenfeld,&nbsp;Jonathan Katz,&nbsp;P. R. St. Clair,&nbsp;Jan Stankus,&nbsp;Ralph La Charity,&nbsp;Robert Swick,&nbsp;Bill Whitbeck,&nbsp;Mary McConville,&nbsp;Les Mertus,&nbsp;Rodney Phillips,&nbsp;Scott Mooney,&nbsp;Kirk Suntheimer,&nbsp;Kathy Lavicka,&nbsp;Lori Hennings,&nbsp;Barry L. Kessel,&nbsp;Patrick Feeney,&nbsp;Christopher H. Plant,&nbsp;Robert Preyss,&nbsp;Janet Reninger,&nbsp;Carrie Alinn,&nbsp;Judy Taylor,&nbsp;Eve Wilson,&nbsp;Lloyd Mills,&nbsp;Larry Black,&nbsp;Al Elkins,&nbsp;Steve Katz,&nbsp;Elizabeth Troshane,&nbsp;Virgil Villers,&nbsp; B.S.,&nbsp;Johnny F. Elsa,&nbsp;Pearl Guy,&nbsp;Mike McCafferty,&nbsp;Steve Marks,&nbsp;Kevin Shawn,&nbsp;Robert Vogelbaum</p

    Cauchy’s formula in Clifford analysis : an overview

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    The Clifford-Cauchy integral formula has proven to be a corner stone of the monogenic function theory, as is the case for the traditional Cauchy formula in the theory of holomorphic functions in the complex plane. In the recent years, several new branches of Clifford analysis have emerged. Similarly as hermitian Clifford analysis was introduced in Euclidean space R^2n of even dimension as a refinement of Euclidean Clifford analysis by the introduction of a complex structure on R^2n, quaternionic Clifford analysis arose as a further refinement by the introduction of a so-called hypercomplex structure Q, i.e. three complex structures (I, J, K) which submit to the quaternionic multiplication rules, on Euclidean space R^4p, the dimension now being a fourfold. Two, respectively four differential operators are constructed, leading to invariant systems under the action of the respective symmetry groups U(n) and Sp(p). Their simultaneous null solutions are respectively called hermitian and quaternionic monogenic functions. The basics of hermitian monogenicity have been studied in e.g. Brackx et al. (Compl Anal Oper Theory 1 (3):341-365,2007; Complex Var Elliptic Equ 52(10-11): 1063-1079, 2007; Appl Clifford Algebras 18(3—4):451-487,2008). Quaternionic monogenicity has been developed in, amongst others, Pena-Pena (Complex Anal Oper Theory 1:97-113, 2007), Eelbode (Complex Var Elliptic Equ 53(10):975-987, 2008), Damiano et al. (Adv Geom 11:169-189, 2011), and Brackx et al. (Adv Appl Clifford Alg 24(4):955-980, 2014; Ann Glob Anal Geom 46:409-430, 2014). In this contribution, we give an overview of the ways in which a Cauchy integral representation formula has been established within each of these frameworks
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