Functions of Several Variables

By A. Ravindran, K. Ragsdell, G. V. Reklaitis. 2007

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An adaptive spacetime discontinuous Galerkin method for cohesive models of elastodynamic fracture (2010, unknown): “The spacetime volume element is the (d+1)-form given by :=dx1∧·· ·∧dxd∧dt , where ‘∧’ is the exterior product operator on forms; cf [47–49].”
Dynamic fictitious play, dynamic gradient play, and distributed convergence to Nash equilibria (2005, background): “…, the extended mapping satisfies Under the assumed nonsingularity, the function satisfies the conditions of the implicit function theorem [15] , there exists a such that if eventually remain within a -neighborhood of the origin, then eventually remain within an -neighborhood of a single…”
An extended class of marginal link functions for modelling contingency tables by equality and inequality constraints (2007, methodology): “The class of marginal models that can be defined by imposing a set of equality and inequality constraints on a link function, defined as in Glonek (1996), has been studied by Colombi and Forcina (2001).”