Aug 17, 2009 07:54
14 yrs ago
English term
locus
GBK
English to Danish
Science
Mathematics & Statistics
Definition from
Wikipedia:
In mathematics, a locus (Latin for "place", plural loci) is a collection of points which share a property. The term locus is usually used of a condition which defines a continuous figure or figures, that is, a curve. For example, in two-dimensional space a line is the locus of points equidistant from two fixed points or from two parallel lines.
Example sentences:
We let a control point vary while the rest is held fixed. We show that the locus of the moving control point that yields a zero curvature point on the curve is a developable surface, the regression curve of which is the locus that guarantees a cusp on the curve (ACM, Inc.)
So far, we have thought of an elliptic curve as defined by its equation. However, a specific equation is not unique for determining a locus of points. Simple substitutions such as x' = 2x obviously lead to different equations with the same locus of points that satisfy the equation. Substitutions like this amount to a change of coordinate system. (Charles Daney)
This curve is called the locus of the equation. The locus of an equation is a curve containing those points, and only those points, whose coordinates satisfy the equation. (tpub.com)
Change log
Aug 17, 2009 04:10: changed "Kudoz queue" from "In queue" to "Public"
Aug 17, 2009 07:54: changed "Stage" from "Preparation" to "Submission"
Aug 20, 2009 08:54: changed "Stage" from "Submission" to "Selection"
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