Results 41 to 50 of about 320,638 (309)
An Extension of Banach's Mapping Theorem [PDF]
The following mapping theorem of Banach [I] is well known. It is the basis of most proofs of the Schroder-Bernstein equivalence theorem. If X and Y are sets and f: X-* Y and g: Y-*X are injective mappings, then there exists partitions2 X=X1+X2 and Y= Yi+ Y2 such that f (Xj) = Yi and g(Y2) =X2.
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Group extensions of Gibbs–Markov maps [PDF]
Let \((X,\mathcal{B},m,T,\alpha)\) be an exact probability-preserving Markov map, where \((X,\mathcal{B},m)\) is some probability space, \(T\colon X \to X\) a probability-preserving transformation and \(\alpha\) denotes a generating Markov partition. For each \(a\in \bigvee_{i=0}^{n-1}T^{-i}\alpha ,\) let \(\nu_a\) be the local inverse of the map \(T^n:
Aaronson, J., Denker, Manfred
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Transboundary Rainfall Estimation Using Commercial Microwave Links
Unlike actual rainfall, the spatial extent of rainfall maps is often determined by administrative and political boundaries. Similarly, data from commercial microwave links (CMLs) is usually acquired on a national basis and exchange among countries is ...
Nico Blettner +4 more
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An extension of fuzzy decision maps for multi-criteria decision-making
This paper presents a new extension to Fuzzy Decision Maps (FDMs) by allowing use of fuzzy linguistic values to represent relative importance among criteria in the preference matrix as well as representing relative influence among criteria for computing ...
Basem Mohamed Elomda +2 more
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Extension of continuity of maps between axiomatic locally finite spaces
The paper studies the extension problem of continuous maps between axiomatic locally finite spaces (for short, ALF spaces). Indeed, an ALF space is a topological space satisfying a set of axioms suggested in .
Sangeon HAN
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Lipschitz Extensions to Finitely Many Points
We consider Lipschitz maps with values in quasi-metric spaces and extend such maps to finitely many points. We prove that in this context every 1-Lipschitz map admits an extension such that its Lipschitz constant is bounded from above by the number of ...
Basso Giuliano
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Quasiconformal Extensions of Harmonic Mappings
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Grassmann extensions of Yang–Baxter maps [PDF]
In this paper we show that there are explicit Yang-Baxter maps with Darboux-Lax representation between Grassmann extensions of algebraic varieties. Motivated by some recent results on noncommutative extensions of Darboux transformations, we first derive a Darboux matrix associated with the Grassmann-extended derivative Nonlinear Schrodinger (DNLS ...
Grahovski, GG +2 more
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Abstract Background Sickle cell disease (SCD) is an autosomal recessive hemoglobinopathy affecting millions of individuals worldwide. The clinical expression and psychosocial burden of SCD vary widely across geographical, cultural, and healthcare system contexts, underscoring the need for setting‐specific approaches to assessment.
Desiré Fantasia +7 more
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Fixed points of set-valued maps in locally complete spaces
We prove an extension of the Pareto optimization criterion to locally complete locally convex vector spaces to guarantee the existence of fixed points of set-valued maps.
Carlos Bosch +4 more
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