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Introducing the EpG<sup>2</sup> System: Epigenomic Processes and the Emergent Genome. [PDF]
Ruiz-Narváez EA.
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Aidification of the self: a phenomenological approach to machine consciousness through human-robot 'between-ness'. [PDF]
Tanaka S.
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From Germline Susceptibility to Therapeutic Vulnerability: DNA Damage Response Gene Mutations Driving Multiple Myeloma Evolution and Precision Therapy. [PDF]
Shen Q, Wang Y, Cai L, Qian J.
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Duality with expanding maps and shrinking maps, and its applications to Gauss maps
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A characterization of the star duality mapping
Advances in Applied Mathematics, 2023The authors prove some analog of the characterization of the duality mapping for compact convex sers in finite dimensions as resented in [\textit{K. Böröczky jun.} and \textit{R. Schneider}, Geom. Funct. Anal. 18, No. 3, 657--667 (2008; Zbl 1168.52002)].
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Compact Textbooks in Mathematics, 2021
Recall that E is a real, separable, and reflexive Banach space. In this section we consider classical duality mapping together with its relation to the Riesz operator—in case we assume that we work in a Hilbert space.
Marek Galewski, Galewski Marek
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Recall that E is a real, separable, and reflexive Banach space. In this section we consider classical duality mapping together with its relation to the Riesz operator—in case we assume that we work in a Hilbert space.
Marek Galewski, Galewski Marek
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Subdifferentiability and Duality Mappings
1990Our aim in this Chapter is to introduce the notion of duality mapping on a Banach space X; to this purpose we survey basic results of convex analysis and connect them with the differentiability properties of the norm on X.
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On the Duality Mapping Sets in Orlicz Sequence Spaces
Acta Mathematica Sinica, English Series, 2001Summary: Criteria for the weak compactness of the duality mapping sets \(J(x)=\{f\in X^*:\langle f,x\rangle=\| f\|^2=\| x\|^2\}\) in Orlicz sequence spaces endowed either with the Luxemburg or with the Orlicz norm are obtained.
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Generating topological order from a two-dimensional cluster state using a duality mapping
In this paper, we prove, extend and review possible mappings between the two-dimensional (2D) cluster state, Wen's model, the 2D Ising chain and Kitaev's toric code model.
Benjamin J Brown +2 more
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