2020American Mathematical MonthlyOpen access

Navigating Around Convex Sets

J. J. P. Veerman

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Abstract

We review some basic results of convex analysis and geometry in Rn in the context of formulating a differential equation to track the distance between an observer flying outside a convex set K and K itself.

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We review some basic results of convex analysis and geometry in Rn in the context of formulating a differential equation to track the distance between an observer flying outside a convex set K and K itself.

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Available abstract

We review some basic results of convex analysis and geometry in Rn in the context of formulating a differential equation to track the distance between an observer flying outside a convex set K and K itself.

Key concepts: Regular polygon, Convex set, Observer (physics), Convex analysis, Mathematics, Context (archaeology), Convex combination, Subderivative

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