Darboux property of the Wronski determinant
Józef Banaś, Wagdy Gomaa El-Sayed (1995)
Mathematica Slovaca
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Józef Banaś, Wagdy Gomaa El-Sayed (1995)
Mathematica Slovaca
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Muthuvel, Kandasamy (2000)
International Journal of Mathematics and Mathematical Sciences
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Aleksander Maliszewski (2002)
Fundamenta Mathematicae
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We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).
Pawlak, Ryszard J (2015-12-13T08:53:36Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Pawlak, Ryszard J (2015-12-15T14:28:21Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Tomasz Natkaniec (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Małgorzata Fedor, Joanna Szyszkowska (2008)
Annales UMCS, Mathematica
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In this paper we consider the Darboux type properties for the paratingent. We review some of the standard facts on the multivalued functions and the paratingent. We prove that the paratingent has always the Darboux property but the property D* holds only when the paratingent is a multivalued function.
Jack Ceder (1976)
Fundamenta Mathematicae
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K. M. Garg (1973)
Colloquium Mathematicae
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A. Bruckner, J. Ceder, T. Pearson (1973)
Fundamenta Mathematicae
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