PHAG
发表于 2025-3-26 21:42:31
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Cirrhosis
发表于 2025-3-27 04:48:50
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Insufficient
发表于 2025-3-27 06:27:03
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描述
发表于 2025-3-27 11:56:58
Shinji Doi,Junko Inoue,Kunichika Tsumoto deal with regular curves. For instance, a plane curve . = . is regular, and analytical, too. At the same time, viewing it as a spatial curve, we see that the differential-geometrical theory of spatial curves cannot be applied to the curve in question, since at the point . = 0 the first two derivates of the radius-vector of the curve turn to zero.
安慰
发表于 2025-3-27 17:03:08
,Ergänzende numerische Verfahren,to the arc length will be stated below. There is another possible way of constructing the theory of a curve turn, when the notion of a turn is defined by way of approximating an arbitrary curve by regular curves.
疏远天际
发表于 2025-3-27 21:25:52
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宽大
发表于 2025-3-28 01:33:02
Introduction, deal with regular curves. For instance, a plane curve . = . is regular, and analytical, too. At the same time, viewing it as a spatial curve, we see that the differential-geometrical theory of spatial curves cannot be applied to the curve in question, since at the point . = 0 the first two derivates of the radius-vector of the curve turn to zero.
neuron
发表于 2025-3-28 05:11:26
Turn or Integral Curvature of a Curve,to the arc length will be stated below. There is another possible way of constructing the theory of a curve turn, when the notion of a turn is defined by way of approximating an arbitrary curve by regular curves.
Somber
发表于 2025-3-28 09:51:05
Frenet Formulas and Theorems on Natural Parametrization,dicatrix of the curve ., regular if in any segment [α, .] of the values of the parameter . which correspond to an angular point of the curve, к.(.) is as follow: к.(.) = λ(. − .) + к.(α). It is obvious that a complete one-dimensional indicatrix allows a regular parametrization.
完全
发表于 2025-3-28 12:17:11
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