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locus

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04:54 Aug 17, 2009
English to Chinese 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
5 +1軌跡
Gertrude Tsau


Discussion entries: 1





  

Translations offered


5 days   confidence: Answerer confidence 5/5 peer agreement (net): +1
軌跡


Definition from own experience or research:
在數學中，軌跡指的是含有某種性質的所有點的集合，它是一種幾何形狀。與一個定點相等距離的動點的軌跡是一個圓圈。

Example sentence(s):
  • 揮桿擊球時桿面擊球角度越大時球的角速度越快，而彈射的角度相對地也比較大，桿面的擊球角度決定球旋轉角速度，球體旋轉的角速度越大所造成飛行軌跡的曲率半徑會越大，能量損耗會多用在側旋上，因此將會損失些許的直線離，造成左右位移會變大，形成左右曲球的飛行軌跡。 - 運動生物力學研究彙刊  
  • 伽利略發現當水平拋出一物體時，物體會以拋物線的軌跡落下。 - 拋體軌跡  
  • 求軌跡的方法可分為直接方法和間接方法。直接方法就是根據圖形特征，直接把題目中的幾何條件轉化為代數條件，經過簡化後就求出軌跡方程。間接法就是參數法，用好參數法就要確定影響軌跡上動點位置的主要參照物，設立參數，列出參數方程，消去參數后就求出了軌跡的普通方程。 - 人民網  
Gertrude Tsau
United States
Local time: 09:12
Native speaker of: Chinese
PRO pts in category: 4

Votes in favor of/against selecting this as the best translation of the term asked
Yes  Li Rui
24 days
  -> Thanks,Li Rui !
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