Fluid flow is governed by nonlinear equations, and as the speed of a fluid increases, stable flow changes to turbulent flow. This article discusses some historical and recent research in understanding how instability occurs. (pp. 1358)
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Familiar identities with grad, div, and curl may be framed as the de Rham complex on an open set in Euclidean space. The corresponding complex on the three-sphere, when considered in a vector form, leads naturally to the Bernstein-Gelfand-Gelfand complex in representation theory. (pp. 1368)
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Writing from the point of view of her own European and French culture, the author describes benefits and also limitations of theoretical and experimental research in mathematics education at the university level. She points also to questions that need to be addressed in the future. (pp. 1377)
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