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2016•arXiv (Cornell University)Open access

Symmetrical R-duals of type III and a representation of its frame operators

Jahangir Cheshmavar, Ali Akbarnia

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Abstract

In 2015, Stoeva and Christensen introduced different types of R-duals. A very important distinction of these types of R-duals is that type III is not symmetrical. However by choosing an appropriate sequence and applying mild technical change, we characterize symmetrical type III of R-duals. Given the associated frame of this symmetrical R-duals, we achieved a representation for square root of its inverse.

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What this paper is about

In 2015, Stoeva and Christensen introduced different types of R-duals. A very important distinction of these types of R-duals is that type III is not symmetrical. However by choosing an appropriate sequence and applying mild technical change, we characterize symmetrical type III of R-duals. Given the associated frame of this symmetrical R-duals, we achieved a representation for square root of its inverse.

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Available abstract

In 2015, Stoeva and Christensen introduced different types of R-duals. A very important distinction of these types of R-duals is that type III is not symmetrical. However by choosing an appropriate sequence and applying mild technical change, we characterize symmetrical type III of R-duals. Given the associated frame of this symmetrical R-duals, we achieved a representation for square root of its inverse.

Key concepts: Dual polyhedron, Representation (politics), Type (biology), Frame (networking), Mathematics, Sequence (biology), Pure mathematics, Inverse

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