We consider the 2-spin spherical Sherrington–Kirkpatrick model whose disorder is given by a deformed Wigner matrix of form $$W+\lambda V$$ , where W and V random diagonal with i.i.d. entries. Assuming that density function entries decays faster than certain rate near edges its spectrum, we prove sharp phase transition limiting free energy fluctuation. In high temperature regime, fluctuation con...

The existence theorem for replica-symmetry breaking (RSB) in the transverse field Sherrington-Kirkpatrick (SK) model is extended to with a general random exchange interactions. relation between expectation value of interaction energy and Duhamel correlation function spin operators can be obtained by an approximate integration parts In addition Falk-Bruch inequality, these explicit evaluations e...

This study examined the effectiveness of a faculty training program for problem-based learning (PBL) facilitation. A multi-level approach was used, following Kirkpatrick’s levels for assessing training effectiveness. Data were obtained from (1) tutor training workshop evaluations, (2) a survey of tutors’ attitudes and beliefs, (3) changes in tutors’ perceptions of their teaching styles through ...

BACKGROUND This paper retrospectively reports on an evaluation framework applied to a local interprofessional education (IPE) curriculum design. The theoretically informed IPE curriculum spans the undergraduate health and social care programmes of over 10 professions as a curriculum theme. The teaching design and its impact were informed by psycho-social and learning theories. AIMS This meta-...