Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point. A choice of a normal vector allows one to use the right-hand rule to define a "clockwise" direction of loops in the surface, as needed by Stokes' theorem for instance. More generally, orientability of an abstract surface, or manifold, measures whether one can consistently choose a "clockwise" orientation for all loops in the manifold. Equivalently, a surface is orientable if a two-dimensional figure (such as ) in the space cannot be moved continuously on that surface and back to its starting point so that it looks like its own mirror image .
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Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point. A choice of a normal vector allows one to use the right-hand rule to define a "clockwise" direction of loops in the surface, as needed by Stokes' theorem for instance. More generally, orientability of an abstract surface, or manifold, measures whether one can consistently choose a "clockwise" orientation for all loops in the manifold. Equivalently, a surface is orientable if a two-dimensional figure (such as ) in the space cannot be moved continuously on that surface and back to its starting point so that it looks like its own mirror image .
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Em matemática, a orientabilida ...... em os valores dos parâmetros.
@pt
En matemàtiques, l'orientabili ...... s en els valors del paràmetre.
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En mathématiques, l'orientabil ...... ts des valeurs des paramètres.
@fr
In de differentiaaltopologie, ...... riëntatie moet worden gekozen.
@nl
In mathematics, orientability ...... anges in the parameter values.
@en
Intuicie, surfaco S en la eŭkl ...... tie signifas botelon de Klein.
@eo
Orienterbarhet är inom matemat ...... till genom att lägga till den.
@sv
Στα μαθηματικά, η δυνατότητα π ...... με τη κατοπτρική του εικόνα .
@el
У математиці, орієнтовність — ...... о до зміни значення параметра.
@uk
数学では、向き付け可能性(orientability)とは、 ...... つれて、各々の空間が連続的に変化するよう選択せねばならない。
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Em matemática, a orientabilida ...... , sem inverter sua orientação.
@pt
En matemàtiques, l'orientabili ...... seva pròpia imatge especular .
@ca
En mathématiques, l'orientabil ...... tinu sur cette surface et reve
@fr
In de differentiaaltopologie, ...... door de ruimte en terug naar w
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In mathematics, orientability ...... ks like its own mirror image .
@en
Intuicie, surfaco S en la eŭkl ...... a surfaco estas ne-orientebla.
@eo
Orienterbarhet är inom matemat ...... till genom att lägga till den.
@sv
Στα μαθηματικά, η δυνατότητα π ...... άζει με τη κατοπτρική του εικό
@el
У математиці, орієнтовність — ...... к її дзеркальне відображення .
@uk
数学では、向き付け可能性(orientability)とは、 ...... 戻ってきても、決して自分自身の鏡像 にはならない場合を言う。
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label
Orientabilidade
@pt
Orientabilitat
@ca
Orientability
@en
Orientabilité
@fr
Orientebleco
@eo
Orienterbarhet
@sv
Oriënteerbaarheid
@nl
Δυνατότητα προσανατολισμού (μαθηματικά)
@el
Орієнтовність
@uk
可定向性
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