14 research outputs found
Music Education in South Africa
In this time of extreme national difficulty and uncertainty about the future, South Africa\u27s entire educational system is faltering as political and economic disruption overwhelms the nation\u27s social structure. As South Africa\u27s music educators face the difficulties of changing the traditions of segregation and overemphasis upon Western music forms, they are finding strength in sharing information and their visions for the future of South Africa
MUSICS OF THE WORLD'S CULTURES: A SOURCE BOOK FOR MUSIC EDUCATORS, editors: Barbara Lundquist and C.K. Szego with Bruno Nettl, Ramon Santos and Einar Solbu, published by the Callaway International Resource Centre for Music Education (CIRCME) for the International Society for Music Education (ISME), 1998. 234 pp.
Category Theoretic Analysis of Hierarchical Protein Materials and Social Networks
Materials in biology span all the scales from Angstroms to meters and typically consist of complex hierarchical assemblies of simple building blocks. Here we describe an application of category theory to describe structural and resulting functional properties of biological protein materials by developing so-called ologs. An olog is like a “concept web” or “semantic network” except that it follows a rigorous mathematical formulation based on category theory. This key difference ensures that an olog is unambiguous, highly adaptable to evolution and change, and suitable for sharing concepts with other olog. We consider simple cases of beta-helical and amyloid-like protein filaments subjected to axial extension and develop an olog representation of their structural and resulting mechanical properties. We also construct a representation of a social network in which people send text-messages to their nearest neighbors and act as a team to perform a task. We show that the olog for the protein and the olog for the social network feature identical category-theoretic representations, and we proceed to precisely explicate the analogy or isomorphism between them. The examples presented here demonstrate that the intrinsic nature of a complex system, which in particular includes a precise relationship between structure and function at different hierarchical levels, can be effectively represented by an olog. This, in turn, allows for comparative studies between disparate materials or fields of application, and results in novel approaches to derive functionality in the design of de novo hierarchical systems. We discuss opportunities and challenges associated with the description of complex biological materials by using ologs as a powerful tool for analysis and design in the context of materiomics, and we present the potential impact of this approach for engineering, life sciences, and medicine.Presidential Early Career Award for Scientists and Engineers (N000141010562)United States. Army Research Office. Multidisciplinary University Research Initiative (W911NF0910541)United States. Office of Naval Research (grant N000141010841)Massachusetts Institute of Technology. Dept. of MathematicsStudienstiftung des deutschen VolkesClark BarwickJacob Luri