5,318 research outputs found
Erratum: Envisioning translational hyperscanning: how applied neuroscience might improve family-centered care (Social Cognitive and Affective Neuroscience (2022) (nsac061) DOI: 10.1093/scan/nsac061)
No full textThis is a correction to: Elisa Roberti, Elena Capelli, Livio Provenzi Envisioning translational hyperscanning: how applied neuroscience might improve family-centered care, Social Cognitive and Affective Neuroscience, 2022; nsac061, https://doi.org/10.1093/scan/nsac061 In the originally published version of this manuscript, the order of authors and the authors’ affiliations were incorrectly given as follows: Livio Provenzi,1,2 Elisa Roberti,2 and Elena Capelli2 1Department of Brain and Behavioral Sciences, University of Pavia, Pavia 27100, Italy 2Developmental Psychobiology Lab, IRCCS Mondino Foundation, Pavia 27100, Italy The Publisher apologizes for this error, which occurred during the production process. The author list and authors’ affiliations have now been corrected, as follows: Elisa Roberti,1 Elena Capelli,1 and Livio Provenzi2,1 1Developmental Psychobiology Lab, IRCCS Mondino Foundation, Pavia 27100, Italy 2Department of Brain and Behavioral Sciences, University of Pavia, Pavia 27100, Ital
Universal matrix Capelli identity
No full textWe propose a universal matrix Capelli identity and explain how to derive Capelli identities for all quantum immanants in the Reflection Equation algebra and in the universal enveloping algebra U(gl_(M|N))
Quasi-polynomials of Capelli. III
No full textIn this paper polynomials of Capelli type (double and quasi-polynomials of Capelli) belonging to a free associative algebra considering over an arbitrary field and generated by two disjoint countable sets are investigated. It is shown that double Capelli's polynomials , are consequences of the standard polynomial . Moreover, it is proved that these polynomials equal to zero both for square and for rectangular matrices of corresponding sizes. In this paper it is also shown that all Capelli's quasi-polynomials of the degree are minimal identities of odd component of -graded matrix algebra for any and
ON THE ASYMPTOTICS OF CAPELLI POLYNOMIALS
No full textAbstract. We present old and new results about Capelli polynomials, Z2-graded Capelli
polynomials and Capelli polynomials with involution and their asymptotics.
Let Capm = Pσ2Sm (sgnσ)tσ(1)x1tσ(2) · · · tσ(m−1)xm−1tσ(m) be the m-th Capelli
polynomial of rank m. In the ordinary case (see [33]) it was proved the asymptotic
equality between the codimensions of the T -ideal generated by the Capelli polynomial
Capk2+1 and the codimensions of the matrix algebra Mk(F ). In [9] this result was
extended to superalgebras proving that the Z2-graded codimensions of the T2-ideal generated by the Z2-graded Capelli polynomials Cap0 M+1 and Cap1 L+1 for some fixed M,
L, are asymptotically equal to the Z2-graded codimensions of a simple finite dimensional
superalgebra. Recently, the authors proved that the ∗-codimensions of a ∗-simple finite dimensional algebra are asymptotically equal to the ∗-codimensions of the T-∗-ideal
generated by the ∗-Capelli polynomials Cap+ M+1 and Cap− L+1, for some fixed natural
numbers M and L
A Cayley–Hamilton Theorem for the Skew Capelli Elements
No full textAbstractFor the central elements of the universal enveloping algebra of the Lie algebra gln named “the skew Capelli elements,” a Cayley–Hamilton type formula is given. Its classical counterpart is an elementary formula for two alternating matrices. As a byproduct of the main result, the description of the skew Capelli elements given by K. Kinoshita and M. Wakayama (Explicit Capelli identities for skew symmetric matrices, Proc. Edinburgh Math. Soc., to appear) is deduced naturally
Matrix Capelli identities related to Reflection Equation algebra
No full textBy using the notion of a quantum double we introduce analogs of partial
derivatives on a Reflection Equation algebra, associated with a Hecke symmetry
of GL(N) type. We construct the matrix L=MD, where M is the generating matrix
of the Reflection Equation algebra and D is the matrix composed of the quantum
partial derivatives and prove that the matrices M, D and L satisfy a matrix
identity, called the matrix Capelli one. Upon applying the quantum trace, it
becomes a scalar relation, which is a far-reaching generalization of the
classical Capelli identity. Also, we get a generalization of the some higher
Capelli identities defined by A.Okounkov
Molecular Motion in Crystalline Naphthalene: Analysis of Multi-Temperature X-ray and Neutron Diffraction Data
No full textSingle crystals of h8-naphthalene have been examined by both X-ray and neutron diffraction over a range of temperatures from 5 to 295 K. The aim of this case study was to measure the anisotropic displacement parameters (ADPs) of carbons and hydrogens and to interpret them using the model of thermal motion proposed by Bürgi and Capelli (Acta Cryst. 2000, A56, 403). The traditional rigid-body analysis expresses the low-frequency motions in terms of molecular translations and librations only, whereas the Bürgi-Capelli treatment also includes the high-frequency internal modes. We show that a considerable improvement occurs by representing the internal modes by a single second-rank tensor and that a further improvement follows by including a Grüneisen parameter to account for volume thermal expansion. By applying the treatment to multi-temperature diffraction data, there is a considerable reduction in the ratio of number of adjustable parameters/number of independent observations
V. CONTARDI, R. CAPELLI, G. ZANICCHI, M. DRAGO; Chromatographic separation of chlorinated hydrocarbons using columns of silica gel of varying degrees of porosity and activation
No full text
Processi di subsidenza nei depositi alluvionali olocenici nella Città di Roma
No full textThe City of Rome is located in an area where long human activity and continuous transformation of the original terrain are tangible. The hydrographic networks of the Tiber's right and left banks have been modified more than once during historical times. Sometimes it has even been obliterated by urban growth (Capelli, G.,1999), so that today it is very hard, at least in the historical centre's area, to recognize the original terrain. Many of Rome’s streets run along the ancient courses of the Tiber's tributaries and many buildings lie upon alluvial deposits now buried by anthropogenic debris. Many structures overlying alluvium and debris have been damaged by subsidence and effects are visible in the buildings' uniform or differential settlement.
In past, the alluvial deposits were considered as continuous bodies made of clayey-silty, sometimes sandy sediments. Instead, the formations are mainly heterogeneous and, as it will be made clear in this paper, consist of many facies (Kiersch, G.A,,1995). The geotechnical characterization of those units is mandatory for evaluating the geological environment's intrinsic hazard in urban areas, where the risk can reach very high values. This study has been carried out through the analysis of borehole and geotechnical data from three left-bank tributaries of the Tiber River the “Fosso del Velabro”, “Marrana della Caffarella”, “Fosso di Grotta Perfetta” and three right-bank tributaries (“Valle dell’Inferno”, a tributary stream of the “Fosso dei Tiradiavoli”, and the “Fosso della Maglianella”). Data about the Tiber’s alluvial deposit from various parts of the city were also included. Based on the geotechnical analysis, we created, for each deposit, a subdivision into lithotechnical units to make correlations and comparisons among the different deposits. The same level of detail has not been possible for all the stream valleys, since it is not always possible to obtain geotechnical data. Nonetheless, it is always been possible to define a stratigraphic series that would represent the examined deposit by subdividing it into units after stratigraphical and sedimentological observations
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