منابع مشابه
Involute of Cubic Pythagorean-Hodograph Curve
Since the mode of Pythagorean-Hodograph curve’s derivate is a polynomial, its involute should be a rational polynomial. We study the expression form of PH cubic’s involute, discovering that its control points and weights are all constructed by corresponding PH cubic’s geometry property. Moreover, we prove that cubic PH curves have neither cusp nor inflection; there are two points coincidence in...
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The study of autonomous planning of UAVs (Unmanned Aerial Vehicles) flyable on-line path to adapt unstructured environment and improve manoeuvring warfare capability has an important practical significance. A path planning algorithm on-line of UAV based on Pythagorean Hodograph (PH) curve is put forward, which can consider the kinematics and dynamic constraints. The effect of the key parameters...
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Two subanalytic subsets of Rn are s-equivalent at a common point, say O, if the Hausdorff distance between their intersections with the sphere centered at O of radius r goes to zero faster than rs. In the present paper we investigate the existence of an algebraic representative in every sequivalence class of subanalytic sets. First we prove that such a result holds for the zero-set V (f) of an ...
متن کاملEquivalence Relations for Two Variable Real Analytic Function Germs
For two variable real analytic function germs we compare the blowanalytic equivalence in the sense of Kuo to the other natural equivalence relations. Our main theorem states that C equivalent germs are blow-analytically equivalent. This gives a negative answer to a conjecture of Kuo. In the proof we show that the Puiseux pairs of real Newton-Puiseux roots are preserved by the C equivalence of f...
متن کاملOn the real algebra of quasianalytic function germs
Given a quasianalytic system Q = (Qn)n∈N of sheaves, denote by Qn the local ring of Q-analytic function germs at 0 ∈ Rn. This paper introduces the concepts of Lojasiewicz radical and geometric spectrum SpegQn ⊂ SperQn. Via the Lojasiewicz inequality, a version of the Nullstellensatz for Qn is given. We establish a quasianalytic version of the Artin–Lang property for Qn. Finally, we prove, by me...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1985
ISSN: 0021-8693
DOI: 10.1016/0021-8693(85)90207-8