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  2. Trilateration - Wikipedia

    en.wikipedia.org/wiki/Trilateration

    Trilateration in three-dimensional geometry Intersection point of three pseudo-ranges. Trilateration is the use of distances (or "ranges") for determining the unknown position coordinates of a point of interest, often around Earth (geopositioning). [1] When more than three distances are involved, it may be called multilateration, for emphasis.

  3. True-range multilateration - Wikipedia

    en.wikipedia.org/wiki/True-range_multilateration

    SHORAN was later used for off-shore oil exploration and for aerial surveying. The Australian Aerodist aerial survey system utilized 2-D Cartesian true-range multilateration. [7] This 2-D scenario is sufficiently important that the term trilateration is often applied to all applications involving a known baseline and two range measurements.

  4. Pseudo-range multilateration - Wikipedia

    en.wikipedia.org/wiki/Pseudo-range_multilateration

    Pseudo-range multilateration, often simply multilateration (MLAT) when in context, is a technique for determining the position of an unknown point, such as a vehicle, based on measurement of biased times of flight (TOFs) of energy waves traveling between the vehicle and multiple stations at known locations.

  5. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry . Analytic geometry is used in physics and engineering , and also in aviation , rocketry , space science , and spaceflight .

  6. Plate theory - Wikipedia

    en.wikipedia.org/wiki/Plate_theory

    The Kirchhoff–Love theory is an extension of Euler–Bernoulli beam theory to thin plates. The theory was developed in 1888 by Love [ 2 ] using assumptions proposed by Kirchhoff. It is assumed that a mid-surface plane can be used to represent the three-dimensional plate in two-dimensional form.

  7. Kirchhoff–Love plate theory - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff–Love_plate_theory

    The Kirchhoff–Love theory of plates is a two-dimensional mathematical model that is used to determine the stresses and deformations in thin plates subjected to forces and moments. This theory is an extension of Euler-Bernoulli beam theory and was developed in 1888 by Love [ 1 ] using assumptions proposed by Kirchhoff .

  8. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    If a left-handed Cartesian coordinate system is used, with x directed to the right but y directed down, R(θ) is clockwise. Such non-standard orientations are rarely used in mathematics but are common in 2D computer graphics , which often have the origin in the top left corner and the y -axis down the screen or page.

  9. Klein bottle - Wikipedia

    en.wikipedia.org/wiki/Klein_bottle

    A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.