An Etymological Dictionary of Astronomy and Astrophysics
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فرهنگ ریشه شناختی اخترشناسی-اخترفیزیک

M. Heydari-Malayeri    -    Paris Observatory

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Number of Results: 2 Search : Euclidean space
Euclidean space
  فضای ِ اقلیدوسی   
fazâ-ye Oqlidosi

Fr.: espace euclidean   

A space in which the → distance between any two points is given by the → Pythagorean theorem: d2 = (Δx)2 + (Δy)2 + (Δz)2, where d is distance and Δx, Δy, and Δz are differential → Cartesian coordinates. Euclidean n-space Rn is the set of all column vectors with n real entries.

→ Euclidean; → space.

pseudo-Euclidean space
  فضای ِ دروژ-اقلیدوسی   
fazâ-ye doruž-Oqlidosi

Fr.: espace pseudo-euclidien   

A real vector space of dimension n having a symmetric bilinear form (x, y) such that in some basis e1, ..., en, the quadratic form (x2) takes the form x12 + ... + xn - 12 - xn2. Such bases are called orthonormal.

→ pseudo-; → Euclidean; → space.