Weakly continuous mappings on Banach spaces

It is shown that every n-homogeneous continuous polynomial on a Banach space E which is weakly continuous on the unit ball of E is weakly uniformly continuous on the unit ball of E. Applications of the result to spaces of polynomials and holomorphic mappings on E are given.     

Investigation of low-lying electronic states in nitromethane by electron-impact spectroscopy

Low energy, variable angle, electron-impact energy-loss spectra of nitromethane have been obtained. A previously unreported singlet → triplet excitation with maximum intensity at 3.8 eV energy loss is observed and its relevance to the gas phase photochemistry of nitromethane is discussed. An additional weak transition with maximum intensity at 4.45 eV energy loss is tentatively assigned to a symmetry-forbidden transition.     

Angular distributions in the photoelectron spectroscopy of carbon monoxide

The angular distributions of the photoelectron intensity for CO have been investigated using a photoelectron spectrometer that has a rotatable detector and an HeI light source. The asymmetry parameter β was carefully measured for 24 vibrational transitions spanning three ionization bands. Its variation with final-state vibrational quantum number was found to have an unusual behavior. It is concluded that an autoionizing state of CO should exist at 584 Å in order to account for this behavior, and that the value of β is very sensitive to the presence of such a state.     

Electron-impact investigation of excited singlet states in 1,3-butadiene

Electron-impact energy-loss spectra of 1,3-butadiene have been obtained at impact energies from 35 eV to 90 eV, at a scattering angle of 0°, and at a     

Doublet—quartet transitions in nitric oxide by low-energy variable-angle electron scattering

The electron impact spectrum of nitric oxide between 4 eV and 10 eV energy loss has been studied in detail at impact energies of 25, 35 and 50 eV and a     

On a class of exact solutions in nonlinear elasticity

A class of exact solutions to the equations of nonlinear elasticity that occur at constant pressure on the boundary of the body and null Cauchy deviatoric stress is presented. Stability analysis shows that the solutions in this class are at best neutrally stable.     

Remarks concerning the flexure of a compressible nonlinearly elastic rectangular block

Under consideration is the problem of flexure of compressible nonlinearly elastic rectangular blocks. The discussion is confined to deformations describing the bending of a rectangular block into a sector of a circular cylindrical tube. The predictions based upon the well-known semilinear material model are investigated. Addressed, in particular, are some problems concerning the existence, uniqueness and stability of solutions to specific boundary value problems.     

Reputation,inequality and meeting techniques: visualising user hierarchy to support collaboration

Equality within groups is ordinarily taken for granted when technology for e-democracy is conceived and developed. However, inequality in online communication is just as common as in other social contexts. Therefore, we have developed a groupware with the express purpose of illuminating imbalance of power. Inequalities are measured and made visible to users of the system, and they change dynamically as actions are taken by users. The system is based on democratic meeting techniques and is reminiscent of a strategy game based on social media. Each participant’s score within the game is dynamically calculated and reflects that user’s activity, others’ reactions to that activity and reactions to others’ activities. The calculations and weighing mechanisms are open to inspection and change by the users, and hierarchical roles reflecting game levels may be attached to system rights belonging to individual users and user groups. The prototype we present stems from the question of how to conceive of groupware based on diversity and is the result of combining social theory with algorithms for modelling and visualising user hierarchy and status. Empirical user tests suggest improvements to the prototype’s interface, which will be implemented and further evaluated by embedding the algorithms in a system for e-participation.