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    • Article
    Sélectionner

    Compactness

    Morgan, Frank
    Pro Mathematica; Vol. 22, No. 43-44 (2008); 123-133
    Pontificia Universidad Catolica del Peru
    Disponible
    Plus…
    Titre: Compactness
    Auteur: Morgan, Frank
    Sujet: Bolzano- Weierstmss ; Alaoglu ; soap films ; geometric measure theory
    Description: In my opinion, compactness is the most important concept in mathematics. We 'll track it from the one-dimensional real line in calculus to infinite dimensional spaces of functions and surfaces and see what it can do.
    Fait partie de: Pro Mathematica; Vol. 22, No. 43-44 (2008); 123-133

    • Livre
    Sélectionner

    Real analysis and applications : including Fourier series and the calculus of variations

    Morgan, Frank
    Providence, R.I. : American Mathematical Society
    2005
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    Erreur de chargement
    Titre: Real analysis and applications : including Fourier series and the calculus of variations / Frank Morgan
    Auteur: Morgan, Frank
    Editeur: Providence, R.I. : American Mathematical Society
    Date: 2005
    Collation: 197 p. : ill.
    Classification: IMATH B-3
    Identifiant: 0821838415 (ISBN)
    No RERO: R003992899
    Permalien:
    http://data.rero.ch/01-R003992899/html?view=FR_V1

    • Livre
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    Real Analysis

    Morgan, Frank
    Providence, R.I. : American Mathematical Society
    2005
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    Titre: Real Analysis / Frank Morgan
    Auteur: Morgan, Frank
    Editeur: Providence, R.I. : American Mathematical Society
    Date: 2005
    Collation: 151 p. : ill.
    Classification: IMATH B-3
    Identifiant: 0821836706 (ISBN)
    No RERO: R003993042
    Permalien:
    http://data.rero.ch/01-R003993042/html?view=FR_V1

    • Livre
    Sélectionner

    Geometric measure theory : a beginner's guide

    Morgan, Frank
    Boston ; San Diego [etc.] : Academic Press
    1988
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    Titre: Geometric measure theory : a beginner's guide / Frank Morgan
    Auteur: Morgan, Frank
    Editeur: Boston ; San Diego [etc.] : Academic Press
    Date: 1988
    Collation: VIII, 145 p. ; 24 cm
    Sujet RERO: théorie de la mesure mathématique - Surfaces minimales - Calcul des variations - Mesure géométrique, Théorie de la
    Classification: ams 28
    IMATH C-5
    Identifiant: 0125068557 (ISBN); http://catalogue.bnf.fr/ark:/12148/cb37359449h (URN)
    No RERO: 0992021
    Permalien:
    http://data.rero.ch/01-0992021/html?view=FR_V1

    • Plusieurs versions

    Impact of social disadvantage and parental offending on rates of criminal offending among offspring of women with severe mental illness

    Valuri, Giulietta Maria, Morgan, Frank, Jablensky, Assen, Morgan, Vera Anne
    Australian & New Zealand Journal of Psychiatry, October 2017, Vol.51(10), pp.1032-1040 [Revue évaluée par les pairs]

    • Plusieurs versions

    Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture

    Morgan Frank
    Analysis and Geometry in Metric Spaces, 01 December 2016, Vol.4(1) [Revue évaluée par les pairs]

    • Plusieurs versions

    The Isoperimetric Problem with Density

    Morgan, Frank
    The Mathematical Intelligencer, 2017, Vol.39(4), pp.2-8 [Revue évaluée par les pairs]

    • Plusieurs versions

    Sociodemographic, clinical and childhood correlates of adult violent victimisation in a large, national survey sample of people with psychotic disorders.

    Morgan, Vera A, Morgan, Frank, Galletly, Cherrie, Valuri, Giulietta, Shah, Sonal, Jablensky, Assen
    Social psychiatry and psychiatric epidemiology, February 2016, Vol.51(2), pp.269-279 [Revue évaluée par les pairs]

    • Article
    Sélectionner

    The Space of Planar Soap Bubble Clusters

    Morgan, Frank
    Cornell University
    Disponible
    Plus…
    Titre: The Space of Planar Soap Bubble Clusters
    Auteur: Morgan, Frank
    Sujet: Mathematics - Metric Geometry ; Mathematics - Differential Geometry ; 49q10
    Description: Soap bubbles and foams have been extensively studied by scientists, engineers, and mathematicians as models for organisms and materials, with applications ranging from extinguishing fires to mining to baking bread. Here we provide some basic results on the space of planar clusters of n bubbles of fixed topology. We show for example that such a space of clusters with positive second variation is an n-dimensional manifold, although the larger space without the positive second variation assumption can have singularities. Earlier work of Moukarzel showed how to realize a cluster as a generalized Voronoi partition, though not canonically. Comment: 10 pages, 3 figures
    Identifiant: 1605.07423 (ARXIV ID)

    • Article
    Sélectionner

    The Space of Planar Soap Bubble Clusters

    Morgan, Frank
    arXiv.org, May 24, 2016
    © ProQuest LLC All rights reserved, Engineering Database, Publicly Available Content Database, ProQuest Engineering Collection, ProQuest Technology Collection, ProQuest SciTech Collection, Materials Science & Engineering Database, ProQuest Central (new), ProQuest Central Korea, SciTech Premium Collection, Technology Collection, ProQuest Central Essentials, ProQuest One Academic, Engineering Collection (ProQuest)
    Disponible
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    Titre: The Space of Planar Soap Bubble Clusters
    Auteur: Morgan, Frank
    Contributeur: Morgan, Frank (pacrepositoryorg)
    Sujet: Singularities ; Clusters ; Baking ; Bubbles ; Extinguishing ; Bread ; Topology ; Metric Geometry ; Differential Geometry
    Description: Soap bubbles and foams have been extensively studied by scientists, engineers, and mathematicians as models for organisms and materials, with applications ranging from extinguishing fires to mining to baking bread. Here we provide some basic results on the space of planar clusters of n bubbles of fixed topology. We show for example that such a space of clusters with positive second variation is an n-dimensional manifold, although the larger space without the positive second variation assumption can have singularities. Earlier work of Moukarzel showed how to realize a cluster as a generalized Voronoi partition, though not canonically.
    Fait partie de: arXiv.org, May 24, 2016
    Identifiant: 2331-8422 (E-ISSN)