Results 31 to 40 of about 10,820 (265)
Reachability analysis is difficult for hybrid automata with affine differential equations, because the reach set needs to be approximated. Promising abstraction techniques usually employ interval methods or template polyhedra. Interval methods account for dense time and guarantee soundness, and there are interval-based tools that overapproximate affine
Goran Frehse +2 more
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On Interpolation in L p Spaces
then X is an interpolation space between the spaces Lp and Lq . This means that any bounded linear operator T in Lp and Lq is also bounded in the space X . This theorem was proved by Boyd [1] in 1967 under the additional assumption that X possesses the Fatou property (see also [2] and [3, Theorem 5.16]).
Astashin, S. V., Maligranda, Lech
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The spaces of exponential type vectors of complex degrees of positive operators
New classes of interpolation spaces of exponential type vectors of complex degrees of positive operators are defined. Properties of the approximation spaces generated by the considered interpolation spaces are investigated.
M. I. Dmytryshyn
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The newfound relationship between extrachromosomal DNAs and excised signal circles
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
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Interpolation Between Hilbert Spaces [PDF]
This note comprises a synthesis of certain results in the theory of exact interpolation between Hilbert spaces. In particular, we examine various characterizations of interpolation spaces and their relations to a number of results in operator-theory and in function-theory.
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In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
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Remarks on interpolation in certain linear spaces (III)
In this paper we study a way of extending the model of interpolating the real functions, with simple nodes, to the case of the functions defined between linear spaces, especially between linear normed spaces.
Adrian Diaconu
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Atomic decompositions of Lorentz martingale spaces and applications
In the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded.
Jiao Yong, Peng Lihua, Liu Peide
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
Interpolation of Operator Spaces
The author develops a theory of real interpolation for operator spaces. The theory presented is a counterpart to \textit{G. Pisier's} recent work on a complex interpolation theory for operator spaces [``The operator Hilbert space OH, complex interpolation and tensor norms'', Mem. Am. Math. Soc. 585, 103 p. (1996)].
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