A theorem on the Gram matrix of a polyhedron

作者：Carbo Dorca Ramon

来源：Journal of Mathematical Chemistry, 2017, 55(1): 79-97.

DOI：10.1007/s10910-016-0672-1

• Vector polyhedra
• Gram matrix of a vector polyhedron
• Inward power set of a vector polyhedron
• Centroid of a vector polyhedron
• Variance of a vector polyhedron
• Complete sum of a vector
• Variance condensed index of a polyhedron

A theorem concerning the Gram matrix of a general set of vectors: a vector polyhedron, is described. Generally speaking, the demonstration is performed by means of a non-negative vector definition: the variance vector, which can be associated to any vector polyhedron belonging to a vector space where a scalar product can be defined. The complete sum of the variance vector, the condensed variance index of any polyhedron, permits to construct the Gram matrix theorem.

• 出版日期2017-1