locus

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07:55 Aug 17, 2009
English to Finnish translations [PRO]
Science - Mathematics & Statistics
English term or phrase: locus
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 sentence(s):
  • 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
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Summary of translations provided
4ura
mikalaari


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1 day 15 hrs   confidence: Answerer confidence 4/5Answerer confidence 4/5
ura


Definition from own experience or research:
Matematiikassa ura tarkoittaa tietyt ehdot täyttävää pistejoukkoa.

Example sentence(s):
  • Fermat oivalsi, että kahden muuttujan yhtälö määrittelee uran eli tasokäyrän. - Matematiikkalehti Solmu  
  • Daniel Bernoulli - - johti rusetin muotoisen nauhakäyrän l. lemniskaatan hyperbelin tangentin ja sitä vastaan origosta piirretyn säteen leikkauspisteen uran, joka on muodoltaan litteä makaava kahdeksikko, yhtälön r² = a² cos 2f. - Helsingin normaalilyseo  
  • Esimerkiksi P-keskinen R-säteinen ympyrä on niiden pisteiden ura, joiden etäisyys P:stä on R, ja se on monisto kuten todettiin. - Tampereen teknillinen yliopisto  
mikalaari
Italy
Local time: 10:11
Native speaker of: Native in FinnishFinnish
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