Providence

By Sidney A. Sherman. 1906

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Citations in the corpus

Adversarial Vulnerability of Neural Networks Increases With Input Dimension (2018, background): “Because the statistics of natural images are approximately resolution and scale invariant [Hua00], in either case the average squared value of the image pixels remains unchanged, which implies that ‖x‖2 scales like √ d.”
The stable module category of a general ring (2014, background): “1 of [Hov99] for a general discussion of when the homotopy category of a pointed model category is triangulated).”
Characterization of absolutely continuous curves in Wasserstein spaces (2006, background): “[DU77] for the definition and the properties of the Bochner integral and of the weak-* integral (or Gelfand integral), here we recall only that the weak-* integral of v is defined by 〈∫”
Introduction to Smooth Manifolds (2002, background): “It requires a bit more machinery than we have developed, but you can look it up, for example, in [Wei77] or [AM78].”
Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups (2001, background): “These systems have signi cance in formal languages, quasi-crystals, aperiodic tilings of the plane [Rad99], and p-recognizable sets of numbers.”
Dolbeault cohomology for almost complex manifolds (2018, background): “applies [Hop02], showing f is constant in a neighborhood of the maximum point and therefore, by connectedness, f is constant.”
The influence of conjugacy class sizes on the structure of finite groups: a survey (2010, result): “As we are not mainly concerned with characters, and only mention results as comparative results we refer the reader to [Hup98] or [Isa06], amongst many others, for a discussion of character theory and some of the necessary definitions.”
Left-determined model categories and universal homotopy theories (2003, methodology): “This definition of a functorial weak factorization system is given in [RT] where its relation to functoriality in the sense of Hovey [Ho] is explained.”
Random subgroups of linear groups are free (2010, methodology): “This decomposition can be seen as an application of the well-known Invariant Factor Theorem for Matrices (see for example [CR06]).”
Homotopy theory of comodules over a Hopf algebroid (2003, background): “4 of [Hov99] guarantee that the cofibers of the generating cofibrations, namely the SP , form a set of small weak generators for the homotopy category.”