fatty-streak
发表于 2025-3-23 11:41:15
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BOGUS
发表于 2025-3-23 17:12:49
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BARK
发表于 2025-3-23 20:08:28
Theory of a Turn for Curves on an ,-Dimensional Sphere,In the space . let us arbitrarily fix an origin .. The symbol Ω. will henceforth denote an .-dimensional sphere in the space . of radius equal to 1 and the centre ., . An arbitrary point . ∈ Ω. will be associated with the vector . ∈ . which is a radius-vector of the point . with respect to the point ..
Horizon
发表于 2025-3-24 00:51:20
Osculating Planes and Class of Curves with an Osculating Plane in the Strong Sense,Let us begin by making certain remarks concerning the notion of orientation for the case of two-dimensional planes in ..
土产
发表于 2025-3-24 05:11:49
Torsion of a Curve in a Three-Dimensional Euclidean Space,Studying a turn of a curve employing the integro-geometrical relations obtained above, required some preliminary considerations of the notion of a turn of a curve lying in one straight line. In an analogous way, studying a torsion of a spatial curve is based on considerations referring to plane curves.
平静生活
发表于 2025-3-24 10:10:40
https://doi.org/10.1007/978-94-009-2591-5convergence; differentiable manifold; integral; manifold; polygon
A简洁的
发表于 2025-3-24 12:58:49
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Monotonous
发表于 2025-3-24 18:25:09
https://doi.org/10.1007/978-3-658-18708-8oints, i.e., a finite sequence of the points of ., such that . ≤ . ≤ .. Let us set .. The least upper boundary of the quantity s(.) on the set of all chains of the curve . is called a length of the curve . and is denoted as s(.). The curve . is termed rectifiable if its length is finite.
congenial
发表于 2025-3-24 22:59:29
General Notion of a Curve,chet. Here we are going to dwell in detail on the definition of a curve with the aim of clarifying certain peculiarities that are important while discussing the theory of curves, and of presenting the definition of a curve in a more geometrical form as compared to the classical definition by M. Frechet.
闪光你我
发表于 2025-3-25 00:18:42
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