Qualitative research methods were used to conduct case studies of two secondary schools in Australia, focusing on the provision of support for students with different learning needs. Interview data were used to report differences in collective beliefs, values and descriptions of school practice that foster two contrasting school cultures. One of these school cultures is described as more inclus...

We present a determination of |Vcb| from semileptonic B decays that includes resummation of supposedly large perturbative corrections, originating from the running of the strong coupling. We argue that the low value of the BLM scale found previously for inclusive decays is a manifestation of the renormalon divergence of the perturbative series starting already in third order. A reliable determi...

A series of papers, Hamilton & May (1977), Motro (1982, 1983) and Frank (1986) have developed and generalized a model of dispersal of offspring to random sites in a stable environment. I present an inclusive fitness model for such dispersal behaviour, applicable in diploid or haplodiploid populations with dispersal under offspring or maternal control. This model provides an illustration of the ...

A recent model shows that altruism can evolve with limited migration and variable group sizes, and the authors claim that kin selection cannot provide a sufficient explanation of their results. It is demonstrated, using a recent reformulation of Hamilton's original arguments, that the model falls squarely within the scope of inclusive fitness theory, which furthermore shows how to calculate inc...

If individuals occupy habitats in a way that maximizes their fitness, if they are free to occupy the habitats they choose and if fitness declines with population density, then their abundance across habitats should follow an ideal free distribution. But, if individuals are genetically related, this simple fitness-maximization mechanism breaks down. Habitat occupation should obey Hamilton's rule...

Given M copies of a q-deformed Weyl or Clifford algebra in the defining representation of a quantum group Gq, we determine a prescription to embed them into a unique, inclusive Gq-covariant algebra. The different copies are “coupled” to each other and are naturally ordered into a “chain”. In the case Gq = SLq(N) a modified prescription yields an inclusive algebra which is even explicitly SLq(M)...

The first fully explicit argument is given that broadly supports a widespread belief among whole-organism biologists that natural selection tends to lead to organisms acting as if maximizing their inclusive fitness. The use of optimization programs permits a clear statement of what this belief should be understood to mean, in contradistinction to the common mathematical presumption that it shou...