Waste minimization strategies for environmental sustainability analysis of MABAC based on schweizer-sklar prioritized approach for circular bipolar fuzzy systems. [PDF]
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Substitution Formula for Real Valued Multiple Integration over Non-archimedean Local Fields
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On the $$ \mathbb K $$-Vector Sequential Topology on a non-Archimedean Valued Field
p-Adic Numbers, Ultrametric Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El Amrani, Abdelkhalek +3 more
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In the classical settings of the field of complex numbers \( \mathbb{C} \) and the field of real numbers \( \mathbb{R} \), the absolute value plays an important role in the Topology and in the Analysis on objects over these fields. In this chapter, we generalize the absolute value by introducing the notion of valuation on a general field \( \mathbb{K} \
Toka Diagana, François Ramaroson
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Locally Convex Spaces over Non-Archimedean Valued Fields
2010Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry.
C. Perez-Garcia, W. H. Schikhof
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The Hahn-Banach theorem for non-Archimedean-valued fields
Mathematical Proceedings of the Cambridge Philosophical Society, 19521. The Hahn-Banach theorem on the extension of linear functionals holds in real and complex Banach spaces, but it is well known that it is not in general true in a normed linear space over a field with a non-Archimedean valuation. Sufficient conditions for its truth in such a space have been given, however, by Monna and by Cohen‡. In the present paper,
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This extensive paper treats integration in non-Archimedean Banach spaces, which is an interesting part of non-Archimedean analysis because of its possible influence in the applications. The work contains the non-Archimedean counterparts of many definitions and results of integration theory in classical Banach spaces over the real or complex field ...
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