There can be little doubt that the concept of social systems is central to marketing if we are, as Latour (1993) notes, increasingly enmeshed in hybrid networks of social, ecological, and informational systems. Yet it is surprising to find such a paucity of marketing and consumer research addressing it. This paper advances the idea of social systems in marketing. A social system is what emerges...

In these notes we survey applications of L-systems to the modeling of plants, with an emphasis on the results obtained since the comprehensive presentation of this area in The Algorithmic Beauty of Plants [61]. The new developments include: a better understanding of theoretical issues pertinent to graphical applications of Lsystems, extensions to programming techniques based on L-systems, and a...

Class Meeting # 24: Transport Equations and Burger’s Equation In these notes, we introduce a class of evolution PDEs known as transport equations. Such equations arise in a physical context whenever a quantity is “transported” in a certain direction. Some important physical examples include the mass density flow for an incompressible fluid, and the Boltzmann equation of kinetic theory. We discu...

Acknowledgements This event was made possible by: • The organisers of Greenhouse2009 – especially Mandy Hopkins and Paul Holper, who arranged the venue and provided great support for the workshop, and a perfect workshop environment • Julie Siedses, who helped organise the workshop logistics and took notes during the workshop, making this report possible. Important Disclaimer CSIRO advises that ...

This paper explores a case of teacher professional development in Botswana, where a blended learning solution was attempted. The analysis of the implementation environment reveals deficiencies in policy, schools (workplaces), and training providers. The paper concludes with three recommendations: 1) Schools should support on-going teacher learning in the workplace and should manage ICT resource...

Note that the three vector spaces involved aren’t necessarily the same. What these examples have in common is that in each case, the product is a bilinear map. The tensor product is just another example of a product like this. If V1 and V2 are any two vector spaces over a field F, the tensor product is a bilinear map: V1 × V2 → V1 ⊗ V2 , where V1 ⊗ V2 is a vector space over F. The tricky part i...

8 Browder, F. E., "Strongly nonlinear parabolic boundary value problems," Amer. J. Math., in press. 9 Browder, F. E., "Nonlinear elliptic boundary value problems, II," Trans. Amer. Math. Soc., in press. 10 Browder, F. E., "Nonlinear equations of evolution," Ann. of Math., in press. 11 Browder, F. E., "On a theorem of Beurling and Livingston," Canad. J. Math., in press. 12 Browder, F. E., "Multi...

These are notes of a mini-course given in the Summer School on Symbolic Dynamics, Temuco (Chile), January 1997. The aim is to present some results concerning asymptotic limit laws for the occurrence of asymptotically rare events associated with some symbolic dynamical systems. The results will be mainly presented for shifts of nite type, but there will be left questions of whether these results...

The perception of music depends on many culture-specific factors, but is also constrained by properties of the auditory system. This has been best characterized for those aspects of music that involve pitch. Pitch sequences are heard in terms of relative as well as absolute pitch. Pitch combinations give rise to emergent properties not present in the component notes. In this review we discuss t...