A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order
Miroslav Laitoch (1978)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Miroslav Laitoch (1978)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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Dennis Roseman (1975)
Fundamenta Mathematicae
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Skip Pennock (2005)
Visual Mathematics
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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Gegham G. Gevorkyan, Anna Kamont (2005)
Studia Mathematica
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By a general Franklin system corresponding to a dense sequence of knots 𝓣 = (tₙ, n ≥ 0) in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots 𝓣, that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is a characterization of sequences 𝓣 for which the corresponding general Franklin system is a basis or an unconditional basis in H¹[0,1].
Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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P. V. Koseleff, D. Pecker (2014)
Banach Center Publications
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We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Schmitt, Peter (1997)
Beiträge zur Algebra und Geometrie
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Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
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Monica Meissen (1998)
Banach Center Publications
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The minimal number of edges required to form a knot or link of type K is the edge number of K, and is denoted e(K). When knots are drawn with edges, they are appropriately called piecewise-linear or PL knots. This paper presents some edge number results for PL knots. Included are illustrations of and integer coordinates for the vertices of several prime PL knots.