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  2. Motions in the time-frequency distribution - Wikipedia

    en.wikipedia.org/wiki/Motions_in_the_time...

    1.2 Vertical shifting. 2 Dilation. 3 Time stretching. 4 Shearing. ... Second, we set a = 1/3, and perform a horizontal shearing on t-axis.

  3. Schema for horizontal dials - Wikipedia

    en.wikipedia.org/wiki/Schema_for_horizontal_dials

    The hour lines 12, 3, and 6 are known. The hour lines 1 and 2 are taken from the side of the square. A diagonal is taken from 12 to 6, and lines parallel to this drawn through 1 and 2, giving 5 and 4; The morning dial is a reflection of this.

  4. Shear mapping - Wikipedia

    en.wikipedia.org/wiki/Shear_mapping

    Horizontal shear of a square into parallelograms with factors ⁡ and ⁡ =. In the plane =, a horizontal shear (or shear parallel to the x-axis) is a function that takes a generic point with coordinates (,) to the point (+,); where m is a fixed parameter, called the shear factor.

  5. Scaling (geometry) - Wikipedia

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

    Each iteration of the Sierpinski triangle contains triangles related to the next iteration by a scale factor of 1/2. In affine geometry, uniform scaling (or isotropic scaling [1]) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions (isotropically).

  6. Spacetime diagram - Wikipedia

    en.wikipedia.org/wiki/Spacetime_diagram

    Fig 4–2. Relativistic time dilation, as depicted in a single Loedel spacetime diagram. Both observers consider the clock of the other as running slower. Relativistic time dilation refers to the fact that a clock (indicating its proper time in its rest frame) that moves relative to an observer is observed to run slower. The situation is ...

  7. Error analysis for the Global Positioning System - Wikipedia

    en.wikipedia.org/wiki/Error_analysis_for_the...

    This fraction is subtracted from 1 and multiplied by the pre-adjusted clock frequency of 10.23 MHz: (1 – 4.472 × 10 −10) × 10.23 = 10.22999999543. That is we need to slow the clocks down from 10.23 MHz to 10.22999999543 MHz in order to negate both time dilation effects.

  8. Affine transformation - Wikipedia

    en.wikipedia.org/wiki/Affine_transformation

    Let X be an affine space over a field k, and V be its associated vector space. An affine transformation is a bijection f from X onto itself that is an affine map; this means that a linear map g from V to V is well defined by the equation () = (); here, as usual, the subtraction of two points denotes the free vector from the second point to the first one, and "well-defined" means that ...

  9. Length contraction - Wikipedia

    en.wikipedia.org/wiki/Length_contraction

    By inserting the time dilation formula, the ratio between those lengths is: ... E 1,2, which is a boosted cuboid. The cross section is thinner in the direction of the ...