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 drifting_along

link 7.03.2010 5:32 
Subject: vertices should have angle bounded away from flat math.
Пожалуйста, помогите перевести предложения, где встречается angle bounded away from flat. Речь идет о разновидности симплекс-метода.Вот отрывок:

While the proofs of Theorems 2.1 and 2.2 are quite involved, we can provide the reader with this intuition for Theorem 2.1: after perturbation, most of the vertices of the polytope defined by the linear program have an angle bounded away from flat. This statement is not completely precise because "most" should be interpreted under a measure related to the chance a vertex appears in the shadow, as opposed to counting the number of vertices. Also, there are many ways of measuring high-dimensional angles, and different approaches are used in different parts of the proof. However, this intuitive statement tells us that most vertices on the shadow polygon should have angle bounded away from flat, which means that there cannot be too many of them.

 PicaPica

link 7.03.2010 7:25 
угол, направленный от плоскости

plane is bound for... — самолет следует в направлении…
the hare bounded away -- заяц ускакал

 Dorian Roman

link 7.03.2010 7:51 
должны быть направлены под углом к плоскости

 Enote

link 7.03.2010 8:02 
углы вершин должны быть пределом/границей отделены от развернутого (180 градусов)
т.е. не должны к нему приближаться
flat angle = 180

 PicaPica

link 7.03.2010 9:27 
да, речь о развернутом угле, а не о плоскости

 

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