University of Toronto Department of Mathematics

Results: 146



#Item
81Polar coordinate system / Multiple-scale analysis / Mathematics / Analysis / Ordinary differential equations / Perturbation theory / Coordinate systems / Poincaré–Lindstedt method

The derivation of the nonlinear Schr¨odinger equation Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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Language: English - Date: 2014-04-03 12:18:24
82Functional analysis / Banach–Alaoglu theorem / Locally convex topological vector space / Weak topology / Topological vector space / Reflexive space / Hahn–Banach theorem / Uniform boundedness principle / Bounded set / Mathematical analysis / Mathematics / Topology

The weak topology of locally convex spaces and the weak-* topology of their duals Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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Language: English - Date: 2014-04-03 12:56:54
83Mathematical analysis / Differential geometry / Tangent bundle / Vector field / Diffeomorphism / Vector space / Tangent space / Vector bundle / Algebra / Mathematics / Differential topology

Rectification theorem for vector fields Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let U, V ⊂ Rn and let f : U → V be smooth. The push-forward of f at x, in

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Language: English - Date: 2014-04-03 12:53:40
84Differential topology / Group theory / Calculus / Continuous function / Operator theory / Group actions / Itō diffusion / Representation theory of finite groups / Abstract algebra / Mathematics / Algebra

The Gottschalk-Hedlund theorem, cocycles, and small divisors Jordan Bell Department of Mathematics, University of Toronto July 23, 2014

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Language: English - Date: 2014-07-23 21:53:24
85Temporal logic / Μ operator / Operator theory / Differential geometry / Linear temporal logic

Orbital stability for NLS Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let n = 3, and take p < 43 . Some of the material we will present for general

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Language: English - Date: 2014-04-03 12:52:33
86

Projective limits of topological vector spaces Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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Language: English - Date: 2014-04-03 12:55:52
    87Operator theory / Quantum mechanics / Fourier analysis / Functional analysis / Hilbert space / Fourier series / Series / Orthonormal basis / Mathematical analysis / Linear algebra / Mathematics

    Abstract Fourier series and Parseval’s identity Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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    Language: English - Date: 2014-04-03 12:52:43
    88Functional analysis / Spectral theory / Linear algebra / Matrix theory / Ordinary differential equations / Spectrum / Hilbert space / Unitary operator / Decomposition of spectrum / Algebra / Operator theory / Mathematical analysis

    The spectra of the unilateral shift and its adjoint Jordan Bell Department of Mathematics, University of Toronto April 3, 2014

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    Language: English - Date: 2014-04-03 12:56:20
    89Dynamical systems / Fixed points / Rotation number / Diffeomorphism / Topological conjugacy / Iterated function / Characterizations of the exponential function / Mathematical analysis / Mathematics / Topology

    Denjoy’s theorem on circle diffeomorphisms Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 In this note I’m just presenting the proof of Denjoy’s theorem in Michael

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    Source URL: individual.utoronto.ca

    Language: English - Date: 2014-04-03 12:18:16
    90Integral calculus / Dynamical system / Calculus of variations / Integration by substitution / Kinematics / Reynolds transport theorem / Multiple integral / Differential form / Spectral theory of ordinary differential equations / Calculus / Physics / Mathematical analysis

    Notes on the history of Liouville’s theorem Jordan Bell Department of Mathematics, University of Toronto April 6, 2015

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    Source URL: individual.utoronto.ca

    Language: English - Date: 2015-04-06 14:50:58
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