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Collinearity information


In geometry, collinearity of a set of points is the property of their lying on a single line.[1] A set of points with this property is said to be collinear (sometimes spelled as colinear[2]). In greater generality, the term has been used for aligned objects, that is, things being "in a line" or "in a row".

  1. ^ The concept applies in any geometry Dembowski (1968, pg. 26), but is often only defined within the discussion of a specific geometry Coxeter (1969, pg. 178), Brannan, Esplen & Gray (1998, pg.106)
  2. ^ Colinear (Merriam-Webster dictionary)

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Collinearity

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Look up collinearity or collinear in Wiktionary, the free dictionary. In geometry, collinearity of a set of points is the property of their lying on a...

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Multicollinearity

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will result in perfect collinearity. This is known as the dummy variable trap. The other common cause of perfect collinearity is attempting to use ordinary...

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Collinear antenna array

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In telecommunications, a collinear antenna array (sometimes spelled colinear antenna array) is an array of dipole or quarter-wave antennas mounted in...

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Collinearity equation

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The collinearity equations are a set of two equations, used in photogrammetry and computer stereo vision, to relate coordinates in a sensor plane (in two...

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Variance inflation factor

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deviation) of an estimated regression coefficient is increased because of collinearity. Cuthbert Daniel claims to have invented the concept behind the variance...

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Cubic function

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lines to the graph of a cubic function at three collinear points intercept the cubic again at collinear points. This can be seen as follows. As this property...

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Collineation

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The idea of a line was abstracted to a ternary relation determined by collinearity (points lying on a single line). According to Wilhelm Blaschke it was...

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Altermagnetism

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Altermagnetic structures are collinear and crystal-symmetry compensated, resulting in zero net magnetisation. Unlike in an ordinary collinear antiferromagnet, another...

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Affine transformation

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preserves: collinearity between points: three or more points which lie on the same line (called collinear points) continue to be collinear after the transformation...

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Ansel Adams

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13-1/2-inch lens and five holders. 4 x 5 view camera, 6 lenses - 12-inch Collinear, 8-1/2 APO Lantar, 9-1/4 APO Tessar, 4-inch Wide Field Ektar, Dallmeyer...

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Curve orientation

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counterclockwise. The determinant is non-zero if points A, B, and C are non-collinear. In the above example, with points ordered A, B, C, etc., the determinant...

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Simson line

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circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P, named for Robert...

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Omnidirectional antenna

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using collinear dipole arrays. These consist of multiple half-wave dipoles mounted collinearly (in a line), fed in phase. The coaxial collinear (COCO)...

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Bent molecular geometry

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almost always consistent with VSEPR theory, which usually explains non-collinearity of atoms with a presence of lone pairs. There are several variants of...

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Geometry

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to distances or angles; it can be studied as an affine space, where collinearity and ratios can be studied but not distances; it can be studied as the...

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Shear force

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another part of the body in the opposite direction. When the forces are collinear (aligned with each other), they are called tension forces or compression...

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Very high frequency

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antennas, while base stations usually use larger fiberglass whips or collinear arrays of vertical dipoles. For directional antennas, the Yagi antenna...

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Influential observation

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Winner, Larry (March 25, 2002). "Influence Statistics, Outliers, and Collinearity Diagnostics". Belsley, David A.; Kuh, Edwin; Welsh, Roy E. (1980). Regression...

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Vif

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molecular structural formulas Variance inflation factor, a measure of collinearity in statistical regression models Very Important Friend, an affectionate...

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Cairo pentagonal tiling

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hexagons, is the form used in Cairo and has the property that every edge is collinear with infinitely many other edges. In architecture, beyond Cairo, the Cairo...

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Synteny

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rejecting what they perceive as a misappopriation of the term, preferring collinearity instead. The analysis of synteny in the gene order sense has several...

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