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Spiritual friendship in the works of Alfonso X of Castile: images of interaction between the sacred and spiritual worlds of thirteenth-century Iberia
During the Middle Ages the predominant Christian mentality
played a fundamental role in establishing the rules according to which both
personal and emotional connections between individuals, and the links between
humans and the supernatural, were forged. Considering this, the present study
will focus on a topic largely unexplored, the medieval Iberian interpretation of
friendship, which will be examined through the analysis of the thirteenth‐century
production ascribed to Alfonso X of Castile’s scriptorium. In particular, special
emphasis will be devoted to the Marian collection of the Cantigas de Santa María together with several references to the legal corpus of the Siete Partidas
Analytic formulas for the rapid evaluation of the orbit response matrix and chromatic functions from lattice parameters in circular accelerators
Measurements and analysis of orbit response matrix have been providing for
decades a formidable tool in the detection of linear lattice imperfections and
their correction. Basically all storage- ring-based synchrotron light sources
across the world make routinely use of this technique in their daily operation,
reaching in some cases a correction of linear optics down to 1% beta beating
and 0.1% coupling. During the design phase of a new storage ring it is also
applied in simulations for the evaluation of magnetic and mechanical
tolerances. However, this technique is known for its intrinsic slowness
compared to other methods based on turn-by-turn beam position data, both in the
measurement and in the data analysis. In this paper analytic formulas are
derived and discussed that shall greatly speed up this second part. The
mathematical formalism based on the Lie algebra and the resonance driving terms
is extended to the off-momentum regime and explicit analytic formulas for the
evaluation of chromatic functions from lattice parameters are also derived. The
robustness of these formulas, which are linear in the magnet strengths, is
tested with different lattice configurations
Nearby radio loud AGN and the Unified Model
The statistical study of the parsec scale properties of radio sources is
crucial to get information on the nature of the central engine and to provide
the foundations of the current unified theories, suggesting that the appearance
of active galactic nuclei depends strongly on orientation. We started a project
to observe at sub-arcsec resolution a complete sample of 94 nearby (z<0.1)
radio galaxies, the Bologna Complete Sample, which is not affected by any
selection effect on the jet velocity and orientation with respect to the line
of sight. Up to now, we published our parsec scale analysis of 77/94 sources.
Here, we describe the last VLBA observations at 5 GHz and EVN data at 18 cm
obtained for the 17 remaining faintest radio core (<5 mJy at 5 GHz in VLA
images) BCS sources and we report our preliminary results on the whole complete
sample.Comment: 4 pages, 1 figure; accepted for publication in the proceeding of the
"12th European VLBI Network Symposium and Users Meeting - EVN 2014" (7-10
October 2014, Cagliari, Italy); published online in Proceedings of Science,
PoS(EVN 2014)09
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