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  2. 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 ...

  3. Lebesgue integral - Wikipedia

    en.wikipedia.org/wiki/Lebesgue_integral

    e. In mathematics, the integral of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the X axis. The Lebesgue integral, named after French mathematician Henri Lebesgue, is one way to make this concept rigorous and to extend it to more general functions.

  4. Vertical integration - Wikipedia

    en.wikipedia.org/wiki/Vertical_integration

    Vertical integration is the degree to which a firm owns its upstream suppliers and its downstream buyers. The differences depend on where the firm is placed in the order of the supply chain. There are three varieties of vertical integration: backward (upstream) vertical integration, forward (downstream) vertical integration, and balanced (both ...

  5. Eratosthenes - Wikipedia

    en.wikipedia.org/wiki/Eratosthenes

    Eratosthenes of Cyrene (/ ɛr ə ˈ t ɒ s θ ə n iː z /; Greek: Ἐρατοσθένης [eratostʰénɛːs]; c. 276 BC – c. 195/194 BC) was an Ancient Greek polymath: a mathematician, geographer, poet, astronomer, and music theorist.

  6. Horizontal integration - Wikipedia

    en.wikipedia.org/wiki/Horizontal_integration

    Marketing. Horizontal integration is the process of a company increasing production of goods or services at the same level of the value chain, in the same industry. A company may do this via internal expansion or through mergers and acquisitions. [ 1][ 2][ 3] The process can lead to monopoly if a company captures the vast majority of the market ...

  7. Inverse synthetic-aperture radar - Wikipedia

    en.wikipedia.org/wiki/Inverse_synthetic-aperture...

    Inverse synthetic-aperture radar ( ISAR) is a radar technique using radar imaging to generate a two-dimensional high resolution image of a target. It is analogous to conventional SAR, except that ISAR technology uses the movement of the target rather than the emitter to create the synthetic aperture. [1] ISAR radars have a significant role ...

  8. Horizontal and vertical (disambiguation) - Wikipedia

    en.wikipedia.org/wiki/Horizontal_and_vertical...

    Horizontal integration, when a company increases production of goods or services at the same level of the value chain and in the same industry (e.g via internal expansion, acquisition or merger) Vertical integration, when the the supply chain of a company is integrated and owned by that company (i.e. integration of multiple stages of production)

  9. Translation of axes - Wikipedia

    en.wikipedia.org/wiki/Translation_of_axes

    Translation of axes. In mathematics, a translation of axes in two dimensions is a mapping from an xy - Cartesian coordinate system to an x'y' -Cartesian coordinate system in which the x' axis is parallel to the x axis and k units away, and the y' axis is parallel to the y axis and h units away. This means that the origin O' of the new ...