The difinite values in n -simplex

Xinghua Zhu · 2003

The difinite values for a simplex in ;z-dimensional space are studied by applying the method of barycenter coordinate. A series of identities concerning simplex and its subsimplex are established, including the identity associated with a point in En and barycenter of subsimplex, and the identity associated with apex of simplex and inner center of surface, etc. Some properties of definite values and extreme values in Euclidean plane are extended to the case in n-dimensional space.

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