Discussion of a Set of Points in Terms of Their Mutual Distances  

Oleh:

Young, Gale

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 3 no. 1 (Mar. 1938), page 19-22.
Topik: Set of Points; Mutual Distances
Fulltext: Discussion of a Set of Points in Terms of Their Mutual Distances.pdf (148.38KB)

Isi artikel

Necessary and sufficient conditions are given for a set of numbers to be the mutual distances of a set of real points in Euclidean space, and matrices are found whose ranks determine the dimension of the smallest Euclidean space containing such points. Methods are indicated for determining the configuration of these points, and for approximating to them by points in a space of lower dimensionality.

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