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The ellipsis (/ ə ˈ l ɪ p s ɪ s /, plural ellipses; from Ancient Greek: ἔλλειψις, élleipsis, lit. ' leave out ' [1]), rendered ..., alternatively described as suspension points [2]: 19 /dots, points [2]: 19 /periods of ellipsis, or ellipsis points, [2]: 19 or colloquially, dot-dot-dot, [3] [4] is a punctuation mark consisting of a series of three dots.
For example, using a compass, straightedge, and a piece of paper on which we have the parabola y=x 2 together with the points (0,0) and (1,0), one can construct any complex number that has a solid construction. Likewise, a tool that can draw any ellipse with already constructed foci and major axis (think two pins and a piece of string) is just ...
In computer programming, ellipsis notation (.. or ...) is used to denote ranges, an unspecified number of arguments, or a parent directory. Most programming languages require the ellipsis to be written as a series of periods; a single ( Unicode ) ellipsis character cannot be used.
Another use of elliptical distributions is in robust statistics, in which researchers examine how statistical procedures perform on the class of elliptical distributions, to gain insight into the procedures' performance on even more general problems, [20] for example by using the limiting theory of statistics ("asymptotics").
PGF/TikZ is a pair of languages for producing vector graphics (e.g., technical illustrations and drawings) from a geometric/algebraic description, with standard features including the drawing of points, lines, arrows, paths, circles, ellipses and polygons. PGF is a lower-level language, while TikZ is a
Roger Penrose's solution of the illumination problem using elliptical arcs (blue) and straight line segments (green), with 3 positions of the single light source (red spot). The purple crosses are the foci of the larger arcs. Lit and unlit regions are shown in yellow and grey respectively.
Ellipse: the set of points for each of which the sum of the distances to two given foci is a constant; Other examples of loci appear in various areas of mathematics. For example, in complex dynamics, the Mandelbrot set is a subset of the complex plane that may be characterized as the connectedness locus of a family of polynomial maps.
For example, the maximum distance from the origin on the ellipse + = occurs when c 2 = 0, so at the points c 1 = ±1. Similarly, the minimum distance is where c 2 = ±1/3 . It is possible now to read off the major and minor axes of this ellipse.