Displaying similar documents to “Envelopes -- notion and definiteness.”

The Peano curves as limit of α-dense curves.

G. Mora (2005)

RACSAM

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En este artículo presentamos una caracterización de las curvas de Peano como límite uniforme de sucesiones de curvas α-densas en el compacto que es llenado por la curva de Peano. Estas curvas α-densas deben tener densidades tendiendo a cero y sus funciones coordenadas deben de ser de variación tendiendo a infinito cuando α tiende a cero.

Linearly Normal Curves in P^n

Pasarescu, Ovidiu (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14H45, 14H50, 14J26. We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In...

Topology of families of affine plane curves

Hà Huy Vui, Pham Tien Son (1999)

Annales Polonici Mathematici

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We determine bifurcation sets of families of affine curves and study the topology of such families.

Fundamental Group of n-sphere for n ≥ 2

Marco Riccardi, Artur Korniłowicz (2012)

Formalized Mathematics

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Triviality of fundamental groups of spheres of dimension greater than 1 is proven, [17]