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Generalized Cahn effect and parton 3D motion in a covariant approach
The Cahn effect and the unintegrated unpolarized parton distribution function
are studied in a covariant approach. The Cahn
effect is compared with some other effects due to the parton intrinsic motion.
The comparison suggests that the present understanding of parton transverse
momenta and intrinsic motion in general is still rather incomplete. The new
relation for is obtained in the framework of the
covariant parton model from which a prediction for this distribution function
follows.Comment: 8 pages, 2 figures. Updated version is accepted for publication in
Phys.Rev.
Operator machines on directed graphs
We show that if an infinite-dimensional Banach space X has a symmetric basis
then there exists a bounded, linear operator R : X --> X such that the set
A = {x in X : ||R^n(x)|| --> infinity} is non-empty and nowhere dense in X.
Moreover, if x in X\A then some subsequence of (R^n(x)) converges weakly to x.
This answers in the negative a recent conjecture of Prajitura. The result can
be extended to any Banach space containing an infinite-dimensional,
complemented subspace with a symmetric basis; in particular, all 'classical'
Banach spaces admit such an operator
Contact-mediated control of radial migration of corneal epithelial cells
We thank Darrin Sheppard and other staff at the University of Aberdeen Medical Research Facility for specialist technical assistance. We thank Patsy D. Goast for overnight microscope monitoring. This work was performed under the Biotechnology and Bioscience Research Council Grant number BB/E015840/1 to JMC.Peer reviewedPublisher PD
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