Euclidean Space


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euclidean space

[yü′klid·ē·ən ′spās]
(mathematics)
A space consisting of all ordered sets (x1, …, xn ) of n numbers with the distance between (x1, …, xn ) and (y1, …, yn ) being given by the number n is called the dimension of the space.

Euclidean Space

 

in mathematics, a space whose properties are described by the axioms of Euclidean geometry. In a more general sense, a Euclidean space is an n-dimensional vector space, into which several special Cartesian coordinates can be introduced so that its metric is defined in the following manner: If point M has the coordinates (x1x2, …, xn and point M* has the coordinates (x1*, x2*, …, xn*), then the distance between these points is

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The one ethnic proportion variable that remains in the model is still not in the Euclidean space.
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For the sphere of the divine increasingly assumes the form of an infinite plenitude of which the whole infinite universe is the seal, shadow, or reflection, while the three spheres of Neoplatonic being merge into the three dimensions of Euclidean space.
Therefore, this proposal aims at developing an alternative technique for the representation, analysis and numerical treatment of subsets of the Euclidean space.