Jensen-modernismen

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Asymptotic behavior of alternative Jensen and Jensen type functional equations

In 1941 D.H. Hyers solved the well-known Ulam stability problem for linear mappings. In 1951 D.G. Bourgin was the second author to treat the Ulam problem for additive mappings. In 1982–2005 we established the Hyers–Ulam stability for the Ulam problem of linear and nonlinear mappings. In 1998 S.-M. Jung and in 2002–2005 the authors of this paper investigated the Hyers–Ulam stability of additive ...

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Fred C . Jensen , Troy

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Jensen measures without regularity

In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point. In [Co] Cole gave a counterexample to the peak point conjecture by constructing a non-trivial uniform algebra A with co...

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The Jensen Covering Property

The Jensen covering lemma says that either L has a club class of indiscernibles, or else, for every uncountable set A of ordinals, there is a set B ∈ L with A ⊆ B and card(B) = card(A). One might hope to extend Jensen’s covering lemma to richer weasels, that is, to inner models of the form L[ ~ E] where ~ E is a coherent sequence of extenders of the kind studied in Mitchell-Steel [MiSt]. The pa...

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Non-parametric Jensen-Shannon Divergence

Quantifying the difference between two distributions is a common problem in many machine learning and data mining tasks. What is also common in many tasks is that we only have empirical data. That is, we do not know the true distributions nor their form, and hence, before we can measure their divergence we first need to assume a distribution or perform estimation. For exploratory purposes this ...

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ژورنال

عنوان ژورنال: K&K - Kultur og Klasse

سال: 2000

ISSN: 2246-2589,0905-6998

DOI: 10.7146/kok.v28i90.21067