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  2. Hand geometry - Wikipedia

    en.wikipedia.org/wiki/Hand_geometry

    Geometry of a hand and some examples of measurements that can be taken by hand geometry reading devices. [1] A hand geometry reading device with pegs to control the placement of the hand. Angled mirror on the left reflects the side view image of the hand to the camera. A CCD camera is beneath the keypad to take the top view image of the hand ...

  3. Classification of manifolds - Wikipedia

    en.wikipedia.org/wiki/Classification_of_manifolds

    There are two usual ways to give a classification: explicitly, by an enumeration, or implicitly, in terms of invariants. For instance, for orientable surfaces, the classification of surfaces enumerates them as the connected sum of tori, and an invariant that classifies them is the genus or Euler characteristic.

  4. Kähler manifold - Wikipedia

    en.wikipedia.org/wiki/Kähler_manifold

    A Kähler manifold is a Riemannian manifold of even dimension whose holonomy group is contained in the unitary group ⁡ (). [3] Equivalently, there is a complex structure on the tangent space of at each point (that is, a real linear map from to itself with =) such that preserves the metric (meaning that (,) = (,)) and is preserved by parallel transport.

  5. List of computer graphics and descriptive geometry topics

    en.wikipedia.org/wiki/List_of_computer_graphics...

    Computational geometry; Compute kernel; Computer animation; Computer art; Computer graphics; Computer graphics (computer science) Computer graphics lighting; Computer-generated imagery; Cone tracing; Constructive solid geometry; Control point (mathematics) Convex hull; Cross section (geometry) Cube mapping; Curvilinear perspective; Cutaway ...

  6. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    A common example of a screw is the wrench associated with a force acting on a rigid body. Let P be the point of application of the force F and let P be the vector locating this point in a fixed frame. The wrench W = (F, P × F) is a screw.

  7. Sub-Riemannian manifold - Wikipedia

    en.wikipedia.org/wiki/Sub-Riemannian_manifold

    A position of a car on the plane is determined by three parameters: two coordinates and for the location and an angle which describes the orientation of the car. Therefore, the position of the car can be described by a point in a manifold

  8. Surgery theory - Wikipedia

    en.wikipedia.org/wiki/Surgery_theory

    Examples are the classification of exotic spheres, and the proofs of the Borel conjecture for negatively curved manifolds and manifolds with hyperbolic fundamental group. In the topological category, the surgery exact sequence is the long exact sequence induced by a fibration sequence of spectra .

  9. Frame of reference - Wikipedia

    en.wikipedia.org/wiki/Frame_of_reference

    A coordinate system in mathematics is a facet of geometry or of algebra, [9] [10] in particular, a property of manifolds (for example, in physics, configuration spaces or phase spaces). [11] [12] The coordinates of a point r in an n-dimensional space are simply an ordered set of n numbers: [13] [14]

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