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  2. Rigid transformation - Wikipedia

    en.wikipedia.org/wiki/Rigid_transformation

    In dimension three, all rigid motions are also screw motions (this is Chasles' theorem) In dimension at most three, any improper rigid transformation can be decomposed into an improper rotation followed by a translation, or into a sequence of reflections. Any object will keep the same shape and size after a proper rigid transformation.

  3. Translation (geometry) - Wikipedia

    en.wikipedia.org/wiki/Translation_(geometry)

    In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system. In a Euclidean space, any translation is ...

  4. Comparison of different machine translation approaches

    en.wikipedia.org/wiki/Comparison_of_different...

    A DMT system is designed for a specific source and target language pair and the translation unit of which is usually a word. Translation is then performed on representations of the source sentence structure and meaning respectively through syntactic and semantic transfer approaches. A transfer-based machine translation system involves three ...

  5. Machine translation - Wikipedia

    en.wikipedia.org/wiki/Machine_translation

    Various computer based translation companies were also launched, including Trados (1984), which was the first to develop and market Translation Memory technology (1989), though this is not the same as MT. The first commercial MT system for Russian / English / German-Ukrainian was developed at Kharkov State University (1991).

  6. Chasles' theorem (kinematics) - Wikipedia

    en.wikipedia.org/wiki/Chasles'_theorem_(kinematics)

    In kinematics, Chasles' theorem, or Mozzi–Chasles' theorem, says that the most general rigid body displacement can be produced by a screw displacement. A direct Euclidean isometry in three dimensions involves a translation and a rotation. The screw displacement representation of the isometry decomposes the translation into two components, one ...

  7. AOL Mail

    mail.aol.com

    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  8. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    Kinematics is often described as applied geometry, where the movement of a mechanical system is described using the rigid transformations of Euclidean geometry. The coordinates of points in a plane are two-dimensional vectors in R 2 (two dimensional space). Rigid transformations are those that preserve the distance between any two

  9. India’s ‘godmen’: How a rigid caste system has ... - AOL

    www.aol.com/india-godmen-rigid-caste-system...

    Despite being outlawed in 1950, the caste system, which categorizes Hindus at birth and once forced the so-called “untouchables” or Dalits to the margins of society, is still omnipresent in ...