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  2. Far Lands or Bust - Wikipedia

    en.wikipedia.org/wiki/Far_Lands_or_Bust

    Far Lands or Bust (abbreviated FLoB) is an online video series created by Kurt J. Mac in which he plays the video game Minecraft. The series depicts his journey to the "Far Lands", a distant area of a Minecraft world in which the terrain generation does not function correctly, creating a warped landscape. [1] [2] Kurt has been travelling since ...

  3. Z-order curve - Wikipedia

    en.wikipedia.org/wiki/Z-order_curve

    Given any two points, the derived square for the two points is the smallest square covering both points. The interleaving of bits from the x and y components of each point is called the shuffle of x and y, and can be extended to higher dimensions. Points can be sorted according to their shuffle without explicitly interleaving the bits.

  4. Homogeneous coordinates - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_coordinates

    The use of colons instead of commas, for example (x:y:z) instead of (x, y, z), emphasizes that the coordinates are to be considered ratios. Square brackets, as in [x, y, z] emphasize that multiple sets of coordinates are associated with a single point. Some authors use a combination of colons and square brackets, as in [x:y:z].

  5. 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 xy′ -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 . A point P has coordinates ( x, y) with respect to the ...

  6. 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 ...

  7. Counting points on elliptic curves - Wikipedia

    en.wikipedia.org/wiki/Counting_points_on...

    An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve.There have been several approaches to do so, and the algorithms devised have proved to be useful tools in the study of various fields such as number theory, and more recently in cryptography and Digital Signature Authentication (See elliptic curve cryptography and elliptic curve DSA).

  8. XYZ file format - Wikipedia

    en.wikipedia.org/wiki/XYZ_file_format

    XYZ file format. The XYZ file format is a chemical file format. There is no formal standard and several variations exist, but a typical XYZ format specifies the molecule geometry by giving the number of atoms with Cartesian coordinates that will be read on the first line, a comment on the second, and the lines of atomic coordinates in the ...

  9. Five points determine a conic - Wikipedia

    en.wikipedia.org/wiki/Five_points_determine_a_conic

    Note that X and Y are on this conic by considering the preimage and image of the line XY (which is respectively a line through X and a line through Y). This can be shown by taking the points X and Y to the standard points [::] and [::] by a projective transformation, in which case the pencils of lines correspond to the horizontal and vertical ...

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