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Cayley-Menger Determinant

Source: R/cayleymenger.R

Cayley-Menger determinant is a formula of a n-dimensional simplex with respect to the squares of all pairwise distances of its vertices.

cayleymenger(data)

Arguments

data

an (n×p) matrix of row-stacked observations.

Value

a list containing

det

determinant value.

vol

volume attained from the determinant.

Examples

## USE 'IRIS' DATASET
data(iris)
X = as.matrix(iris[,1:4])

## COMPUTE CAYLEY-MENGER DETERMINANT
#  since k=4 < n=149, it should be zero.
cayleymenger(X)
#> $det
#> [1] 0
#> 
#> $vol
#> [1] 0
#>