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Explore the mathematical concept of Taylor coefficients in smooth functions through the moment summation approach in this 49-minute lecture by Avner Kiro from the University of Toronto. Delivered as part of the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry at the Fields Institute, delve into advanced mathematical techniques and their applications in analysis and geometry. Gain insights into this specialized topic and its relevance in the field of tame geometry.