We have studied the behavior of large amplitude compressive displacements on one-dimensional lattices of equal masses which interact with a variety of nearest neighbor potential energy functions. For the cases of cyclic and fixed end boundary conditions solitons are found to exist and to completely determine the dynamics. The shapes of the solitons on the several lattices are remarkably alike, and all are very close to the shape of a Toda lattice soliton. Because reflection at a free end creates a dilational displacement, a solitary wave does not survive on a lattice with free ends. Mass inhomogeneities in the lattice also scatter solitary waves and lead to their destruction, but the rate of the process depends on the defect to host mass ratio. When that mass ratio is 13/12 a solitary wave survives at least 500 collisions, and its energy is modulated cyclically. The rate of destruction increases as the defect to host mass ratio increases. The results of the calculations are discussed with respect to the ubiquity of solitary wave behavior, its relation with the shape of the potential energy curve, and the possible role of metastable solitary pulses in intramolecular energy transfer.
The emergent themes provide clues as to how complexity is constructed and interpreted across the system of involved agencies and interest groups. The implications these findings have for the development and evaluation of this community capacity-building project were examined from the perspective of constructing interventions that address both top-down and bottom-up processes.
Objectives: During the COVID-19 pandemic, our mental health service experimented with working from home. The flexibility of this practice can enable improved efficiency, staff well-being and expanded operating hours in the longer term. This paper shares our experiences and makes recommendations for being a part of and leading distributed clinical teams. Conclusions: We saw a 3% increase in total appointment bookings and a 7% reduction in cancellations/non-attendance compared to the same period in 2019. Based on our experience and the literature, effective distributed teams have leaders that connect via video at least weekly; focus on transparency and output over micromanagement; prioritise staff relationships and err towards overcommunication.
The emergent themes provide clues as to how complexity is constructed and interpreted across the system of involved agencies and interest groups. The implications these findings have for the development and evaluation of this community capacity-building project were examined from the perspective of constructing interventions that address both top-down and bottom-up processes.
The long-hand square root algorithm, when implemented in binary arithmetic, produces immediately the analytic result (as opposed to the successive approximations generated by the Newton-Raphson method). It also uses only addition, subtraction, and bits shifts; it is related to the binary integer division algorithm, but is in fact a simpler procedure.
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