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Philosophical Studies, 2020
It is often assumed that two linguistic agents can come to understand one another in part because they use the same words. That is, many philosophical theories of communication posit an intersubjective same-word relation. However, giving an account of this relation is complicated by what I call “The Variation Problem”—a problem resulting from the fact ...
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It is often assumed that two linguistic agents can come to understand one another in part because they use the same words. That is, many philosophical theories of communication posit an intersubjective same-word relation. However, giving an account of this relation is complicated by what I call “The Variation Problem”—a problem resulting from the fact ...
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Conversion of Variation Problems Into Isoperimetrical Problems
The Mathematical Gazette, 1954The purpose of this article is to apply a method, previously discussed in some detail, to the solving of standard elementary problems in the Calculus of Variations and to show how rapidly the solutions can be derived by introducing ( p, r ) and certain other coordinates.
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2011
Convex optimization is one of the main areas of application of convex analysis. This chapter deals with the issues of existence and uniqueness in minimization problems, and investigates properties of minimizing sequences.
Heinz H. Bauschke, Patrick L. Combettes
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Convex optimization is one of the main areas of application of convex analysis. This chapter deals with the issues of existence and uniqueness in minimization problems, and investigates properties of minimizing sequences.
Heinz H. Bauschke, Patrick L. Combettes
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Classical Variational Problems
1992In many applications of the calculus of variations we have specific information about the form of the functional f which we want to minimise. In practical terms, this means that the functional f has the form $$f(\varphi ) = \int_I {F(t,\varphi (t),\varphi '(t), \ldots ,{\varphi ^{(n)}}(t))} dt,{\varphi ^{(p)}}(t) = \frac{{{d^p}\varphi }}{{d{t^p ...
Philippe Blanchard, Erwin Brüning
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Geometric variational problems
Journal of Soviet Mathematics, 1975The article contains a survey of the present state-of-the-art of multidimensional calculus of variations which is of great theoretic and practical value. The presentation is grouped around the solution of the famous Bernstein problem on minimal hyper surfaces, and precisely for spaces of such dimension maximal hypersurfaces are hyperplanes.
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An Approach to Variational Problems
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bobylev, N. A. +2 more
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Variational Inequality Problems
2012The purpose of this chapter is to explain variational inequality (VI) formulations of equilibrium problems, and the close connection of a VI problem to an equivalent complementarity problem. There are sometimes advantages to a VI formulation compared to a complementarity formulation: the complementarity formulation has primal decision variables, and ...
Steven A. Gabriel +4 more
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Variational methods for non-variational problems
SeMA Journal, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1997
This chapter gathers a collection of problems for which the analysis does not involve any differential constraint, or if it does it is in a somewhat elementary way. It is a good way of practicing with the general ideas we will pursue for more complicated situations in subsequent chapters.
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This chapter gathers a collection of problems for which the analysis does not involve any differential constraint, or if it does it is in a somewhat elementary way. It is a good way of practicing with the general ideas we will pursue for more complicated situations in subsequent chapters.
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