While in the Riemannian geometry, called elliptic geometry, the fifth

Euclidean postulate is also invalidated as follows: there is no parallel to a given line passing through an exterior point.

A hypersurface [M.sup.n] in (n + 1)-dimensional

Euclidean (or semi-Euclidean) space determined by the transformation

In the case of four cultural dimensions (n = 4), we obtain the following equation for calculating

Euclidean (cultural) distance.

For the rubella virus genome, these values can be considered a characteristic signature of the nucleotide composition and presented as a vector in a six-dimensional

Euclidean space (C vs G, G vs A, U vs G, U vs A, C vs A, U vs C) = (56.39, 169.79, -168.02, 2.31, 216.24, -213.37).

[%] -- -- Table 4: Evaluation of the estimated demand as the

Euclidean distance from the true O-D matrix and the total number of trips.

(3) The whole property

Euclidean distance standard variance of RA [S.sub.k] is generally

The product bundle corresponds to the AF solutions which include the

Euclidean Schwarzschild and

Euclidean Kerr solutions [32, 33].

A classification method based on

Euclidean distance in the RGB color space

The definition of

Euclidean distance is defined in section 2.4.2.

In [6,9], it has been shown that there exists a

Euclidean (resp., Hermitian) self-dual abelian code in [mathematical expression not reproducible] if and only if p = 2 and [absolute value of G] is even.