Weak and Strong Subgradients of Set-Valued Maps

We consider weak subgradients of a set-valued map and present a new notion of strong subgradient. We study their properties and compare our constructions and results with other developments. We give existence conditions of both types and establish several optimality conditions in terms of set optimization.     

A Model of Joined Beams as Limit of a 2<Emphasis Type="Italic">D</Emphasis> Plate

In this paper, we consider an elastic multi-structure composed of two joined beams forming an angle \(\alpha\in \, ]0,\frac{\pi}{2}]\) at the junction, clamped at the three extremities and submitted to forces transverse to the plane containing the skeleton of the multi-structure. We derive the equilibrium configuration of the transverse displacement and the torsional rotation of the multi-structure, via an asymptotic analysis based on a dimensional reduction of a Kirchhoff-Love plate. More generally, we obtain the equilibrium configuration of the transverse displacement and the torsional rotation of a multi-structure whose skeleton is composed of a line and a planar curve joined together.     

Experimental study of145Cs Decay

The decay of mass separated¹⁴⁵Cs (T _1/2= 0.59 s) was studied. Singles gamma and electron spectra were investigated using Ge(Li) and Si(Li) detectors. A level scheme for¹⁴⁵Ba based on the application of energy sum relations is proposed. The β-branching and logft values for the ground and excited states were deduced from the analysis of γ +ce _? intensity balances. Spin and parity assignments based on transition multipolarities are proposed.     

Nucleon scattering analysis from90,92,594Zr and isospin decomposition of transition matrix elements for low-lying collective transitions

Simultaneous analysis of neutron and proton inelastic scattering to low-lying collective states in^{90, 92, 94}Zr are used to derive an isospin decomposition of the corresponding transition matrix elements. The deduced (M _n/M_p) ratios for the strongest transitions are in sharp disagreement with values derived from Coulomb-nuclear interference observed in 35.4 MeV inelastic α-scattering from even Zr isotopes.     

On the susceptibility of the three dimensional Ising ferromagnet

A new technique for deriving high temperature series expansions of the susceptibility has been developed and used to extend the FCC Ising series to thirteen terms.     

Neutron elastic scattering from 116,118,120,122,124Sn

Accurate measurements of neutron differential elastic cross sections have been obtained from even isotopes of Sn. Data are presented for the elastic scattering of 11 MeV neutrons from ^{116, 118, 120, 122, 124}Sn, the elastic scattering for 24 MeV neutrons from ^{116, 118, 124}Sn and the neutron total cross section from ^{118, 120, 122, 124}Sn in the energy ranges 5.0–10.6 MeV and 20.0–26.0 MeV. The elastic scattering data are analyzed in terms of an empirical optical-model potential. The obtained optical-potential parameters are analyzed in terms of energy and isospin dependence and compared with those obtained from proton elastic scattering on even Sn isotopes.     

Electric field induced pattern formation in interfacial metal colloid films

First results on electric field induced aggregation in a novel colloidal film are presented. The aggregate appears as a dark structure on the shiny background of the metallic colloidal film that forms at the interface between two immiscible liquids. A variety of shapes are observed, ranging from compact circular, to highly ramified dendritic ones, depending on control parameters such as voltage and chemical composition. The aggregation process was investigated for a wide range of parameters by video photography and subsequent pattern analysis, as well as by Auger spectroscopic measurements of dried samples. A new type of mechanism—a combination of electroaggregation of the colloid particles and electrodeposition of metal ions—is proposed to account for the observations.