On a system of plane curves having factorable parallels
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چکیده
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a study on construction of iranian life tables: the case study of modified brass logit system
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15 صفحه اولInflection Points on Real Plane Curves Having Many Pseudo-Lines
A pseudo-line of a real plane curve C is a global real branch of C(R) that is not homologically trivial in P(R). A geometrically integral real plane curve C of degree d has at most d− 2 pseudo-lines, provided that C is not a real projective line. Let C be a real plane curve of degree d having exactly d − 2 pseudo-lines. Suppose that the genus of the normalization of C is equal to d− 2. We show ...
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We prove that a submaximal curve in P has sequence of multiplicities (μ, ν, . . . , ν), with μ < sν for every integer s with (s− 1)(s+ 2) ≥ 6.76( r − 1). This note is a sequel to [10], where a specialization method was developed in order to bound the degree of singular plane curves. The problem under consideration is, given a system of multiplicities (m) = (m1,m2, . . . ,mr) ∈ Z and points p1, ...
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We study some properties of generator sequences of planar semigroups and give a method of construction of plane curves with one place at infinity with given generator sequences. We also discuss similar questions for polynomial curves. ∗We express our deep gratitude and appreciation for to Professor Shreeram S. Abhyankar for being a constant source of our mathematical inspiration.
متن کاملOn a property of plane curves
Let γ : [0, 1] → [0, 1] be a continuous curve such that γ(0) = (0, 0), γ(1) = (1, 1), and γ(t) ∈ (0, 1) for all t ∈ (0, 1). We prove that, for each n ∈ N, there exists a sequence of points Ai, 0 ≤ i ≤ n + 1, on γ such that A0 = (0, 0), An+1 = (1, 1), and the sequences π1( −−−−→ AiAi+1) and π2( −−−−→ AiAi+1), 0 ≤ i ≤ n, are positive and the same up to order, where π1, π2 are projections on the a...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1901
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1901-00804-x