Aug 17, 2009 07:55
14 yrs ago
English term
locus
GBK
English to Finnish
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 04:15: changed "Kudoz queue" from "In queue" to "Public"
Aug 17, 2009 07:55: changed "Stage" from "Preparation" to "Submission"
Aug 20, 2009 08:55: changed "Stage" from "Submission" to "Selection"
Proposed translations
1 day 15 hrs
ura
Definition from
own experience or research:
Matematiikassa ura tarkoittaa tietyt ehdot täyttävää pistejoukkoa.
Example sentences:
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)
Discussion
http://butler.cc.tut.fi/~vulli/sanakirja.doc
ja linkissä on "the locus of the equation":
http://foto.hut.fi/opetus/355/Sipola_Ville/kuvatekniikka_ana...
"--- mitä hyvänsä tavanomaista matemaattista yhtälöä (ajattele vaikka sinikäyrää) tarkasteltaessa on löydettävissä taso, jossa yhtälön ura oikenee suoraksi."