On the ordered sets in -dimensional real inner product spaces.
Demirel, Oğuzhan, Soytürk, Emine (2008)
APPS. Applied Sciences
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Demirel, Oğuzhan, Soytürk, Emine (2008)
APPS. Applied Sciences
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Miroslav Repický (1991)
Commentationes Mathematicae Universitatis Carolinae
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We shall investigate some properties of forcing which are preserved by finite support iterations and which ensure that unbounded families in given partially ordered sets remain unbounded.
Daniel Abraham Romano (2005)
Kragujevac Journal of Mathematics
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Bodendiek, R., Lang, R. (1994)
Séminaire Lotharingien de Combinatoire [electronic only]
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Karol Pąk (2008)
Formalized Mathematics
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The paper is concerned with a generalization of concepts introduced in [13], i.e. introduced are matrices of linear transformations over a finitedimensional vector space. Introduced are linear transformations over a finitedimensional vector space depending on a given matrix of the transformation. Finally, I prove that the rank of linear transformations over a finite-dimensional vector space is the same as the rank of the matrix of that transformation.
Heikkilä, Seppo, Seikkala, Seppo (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Gerd Herzog, Roland Lemmert (2003)
Extracta Mathematicae
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Gerd Herzog (1998)
Colloquium Mathematicae
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We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
Ricardo Bianconi (1998)
Fundamenta Mathematicae
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We prove that if M is an o-minimal structure whose underlying order is dense then Th(M) does not interpret the theory of an infinite discretely ordered structure. We also make a conjecture concerning the class of the theory of an infinite discretely ordered o-minimal structure.