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  2. Del in cylindrical and spherical coordinates - Wikipedia

    en.wikipedia.org/wiki/Del_in_cylindrical_and...

    This article uses the standard notation ISO 80000-2, which supersedes ISO 31-11, for spherical coordinates (other sources may reverse the definitions of θ and φ): . The polar angle is denoted by [,]: it is the angle between the z-axis and the radial vector connecting the origin to the point in question.

  3. Parallel manipulator - Wikipedia

    en.wikipedia.org/wiki/Parallel_manipulator

    A manipulator can move an object with up to 6 degrees of freedom (DoF), determined by 3 translation 3T and 3 rotation 3R coordinates for full 3T3R mobility. However, when a manipulation task requires less than 6 DoF, the use of lower mobility manipulators, with fewer than 6 DoF, may bring advantages in terms of simpler architecture, easier control, faster motion and lower cost. [2]

  4. FORM (symbolic manipulation system) - Wikipedia

    en.wikipedia.org/wiki/FORM_(symbolic...

    It was initially coded in FORTRAN 77, but rewritten in C before the release of version 1.0 in 1989. Version 2.0 was released in 1991. The version 3.0 of FORM has been publicized in 2000. It has been made open-source on August 27, 2010 under the GPL license.

  5. Unity (game engine) - Wikipedia

    en.wikipedia.org/wiki/Unity_(game_engine)

    Unity 3.0 launched in September 2010 with features expanding the engine's graphics features for desktop computers and video game consoles. [16] In addition to Android support, Unity 3 featured integration of Illuminate Labs' Beast Lightmap tool, deferred rendering, a built-in tree editor, native font rendering, automatic UV mapping , and audio ...

  6. Cartesian parallel manipulators - Wikipedia

    en.wikipedia.org/.../Cartesian_parallel_manipulators

    Members of the Multipteron [8] family of manipulators have either 3, 4, 5 or 6 degrees of freedom (DoF). The Tripteron 3-DoF member has three translation degrees of freedom 3T DoF, with the subsequent members of the Multipteron family each adding a rotational R degree of freedom. Each member of the family has mutually perpendicular linear ...

  7. Cylindrical coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cylindrical_coordinate_system

    A cylindrical coordinate system with origin O, polar axis A, and longitudinal axis L.The dot is the point with radial distance ρ = 4, angular coordinate φ = 130°, and height z = 4.

  8. Cyclotomic field - Wikipedia

    en.wikipedia.org/wiki/Cyclotomic_field

    In number theory, a cyclotomic field is a number field obtained by adjoining a complex root of unity to , the field of rational numbers. [1]Cyclotomic fields played a crucial role in the development of modern algebra and number theory because of their relation with Fermat's Last Theorem.

  9. Manipulator (device) - Wikipedia

    en.wikipedia.org/wiki/Manipulator_(device)

    In robotics, a manipulator is a device used to manipulate materials without direct physical contact by the operator. The applications were originally for dealing with radioactive or biohazardous materials, using robotic arms , or they were used in inaccessible places.