Euclidean Geometry

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Euclidean Geometry

The Plane geometry learned in high school, based upon a few ideal, smooth, symmetric shapes.
Copyright © 2012, Campbell R. Harvey. All Rights Reserved.

Euclidean Geometry

A system of geometry that deals with objects on a plane. Its theory is based on five postulates, from which a number of theoretical proofs are derived.
Farlex Financial Dictionary. © 2012 Farlex, Inc. All Rights Reserved
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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.