The uniaxial potential function (fonction de potentiel) and its orthogonal force function (fonction de force) contrasted
G. Greenhill (1921)
Journal de Mathématiques Pures et Appliquées
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Displaying similar documents to “Frieze patterns”
The uniaxial potential function (fonction de potentiel) and its orthogonal force function (fonction de force) contrasted
A note on the chords of a convex curve
Green, John W. (1951)
Portugaliae mathematica
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Addendum to the paper "On the product of the conjugates outside the unit circle of an algebraic number"
Andrzej Schinzel (1975)
Acta Arithmetica
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The Riccati differential equation with complex-valued coefficients
Miloš Ráb (1970)
Czechoslovak Mathematical Journal
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On the chords of a convex curve - II
Green, John W. (1952)
Portugaliae mathematica
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On the lattice point theory of multidimensional ellipsoids
B. Diviš, B. Novák (1974)
Acta Arithmetica
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Polynomials of Pellian Type and Continued Fractions
Mollin, R. (2001)
Serdica Mathematical Journal
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We investigate infinite families of integral quadratic polynomials {fk (X)} k∈N and show that, for a fixed k ∈ N and arbitrary X ∈ N, the period length of the simple continued fraction expansion of √fk (X) is constant. Furthermore, we show that the period lengths of √fk (X) go to infinity with k. For each member of the families involved, we show how to determine, in an easy fashion, the fundamental unit of the underlying quadratic field. We also demonstrate how the simple continued...