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  2. Aram (region) - Wikipedia

    en.wikipedia.org/wiki/Aram_(region)

    Aram (Imperial Aramaic: 𐡀𐡓𐡌, romanized: ʾĀrām; Hebrew: אֲרָם, romanized: ʾĂrām; Syriac: ܐܪܡ) was a historical region mentioned in early cuneiforms and in the Bible. The area did not develop into a larger empire but consisted of several small states in present-day Syria .

  3. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...

  4. Active and passive transformation - Wikipedia

    en.wikipedia.org/wiki/Active_and_passive...

    A rotation of the vector through an angle θ in counterclockwise direction is given by the rotation matrix: = (⁡ ⁡ ⁡ ⁡), which can be viewed either as an active transformation or a passive transformation (where the above matrix will be inverted), as described below.

  5. Quaternions and spatial rotation - Wikipedia

    en.wikipedia.org/wiki/Quaternions_and_spatial...

    A rotation can be represented by a unit-length quaternion q = (w, r →) with scalar (real) part w and vector (imaginary) part r →. The rotation can be applied to a 3D vector v → via the formula = + (+). This requires only 15 multiplications and 15 additions to evaluate (or 18 multiplications and 12 additions if the factor of 2 is done via ...

  6. Aram, son of Shem - Wikipedia

    en.wikipedia.org/wiki/Aram,_son_of_Shem

    Aram (Hebrew: אֲרָם Aram) is a son of Shem, according to the Table of Nations in Genesis 10 of the Hebrew Bible, and the father of Uz, Hul, Gether and Mash or Meshech. [1] The Book of Chronicles lists Aram, Uz, Hul, Gether, and Meshech as descendants of Shem, although without stating explicitly that Aram is the father of the other four.

  7. Assyrian conquest of Aram - Wikipedia

    en.wikipedia.org/wiki/Assyrian_conquest_of_Aram

    The Assyrian conquest of Aram (c. 856-732 BCE) concerns the series of conquests of largely Aramean, Phoenician, Sutean and Neo-Hittite states in the Levant (modern Syria, Lebanon, Palestine, and northern Jordan) by the Neo-Assyrian Empire (911-605 BCE).

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  9. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .