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Hyperboloid model

双曲面模型（双曲面模型是n维双曲几何的模型，点由n+1维闵可夫斯基空间中双叶双曲面的向前叶S+中的点表示，m维平面由(m+1)维平面与S+的交集表示。双曲距离函数在该模型中有简单表达式。与凯莱-克莱因模型密切相关，等距群是射影群的子群）

双曲面模型

在几何学中， 双曲面模型 （hyperboloid model），也称为闵可夫斯基模型（Minkowski ..

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abstract: In geometry, the hyperboloid model, also known as the Minkowski model or the Lorentz model (after Hermann Minkowski and Hendrik Lorentz), is a model of n-dimensional hyperbolic geometry in which points are represented by the points on the forward sheet S+ of a two-sheeted hyperboloid in (n+1)-dimensional Minkowski space and m-planes are represented by the intersections of the (m+1)-planes in Minkowski space with S+. The hyperbolic distance function admits a simple expression in this model.

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Mathematical model for twist drill hyperboloid grinding is introduced. The relationship between drill design para meters and grinding parameters is studied.

介绍了以回转双曲面作为麻花钻后刀面的数学模型，研究了钻头设计参数与刃磨参数的关系。

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Mathematical model for hyperboloid grinding of twist drill and relationships between drill design and grinding parameters are introduced.

基于非共轴螺旋面钻尖的刃磨原理，建立了刃磨参数的数学模型。

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Mathematical model for hyperboloid grinding of twist drill and relationships between drill design and grinding parameters are introduced.

介绍了以回转双曲面作为麻花钻后刀面的数学模型，设计参数与刃磨参数的关系。

youdao

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