Consider a digraph G = (V, E) with edge-weight function w : E → R. The weight of path p = v1 → v2 → L → vk is defined to be

Definition. A directed graph (digraph) G = (V, E) is an ordered pair consisting of • a set V of vertices (singular: vertex)

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1. M. F. Egan, M. Kojima, J. H. Callicott, T. E. Goldberg, B. S. Kolachana, E. Zaistev, A. Bertolino, B. Gold, D. Goldman, M. Dean, B. Lu, (co-corresponding author) and D. R. Weinberger. (2003) The BDNF val66met polymorphism affects activity-dependent secretion of BDNF and human memory and hippocampal function. Cell 112, 257-269

Daniel E Prober is in the Departments of Applied Physics and Physics, Yale University, NewHaven, Connecticut 06520-8284 USA. e-mail: daniel.prober@yale.edu Astronomers crave a detector sensitive enough to detect a single photon and determine its energy. new single-pixel

Wrapping up E coli chemotaxis (L7& L8) Main points of last 2 lectures L7: Biological background what is the function of the individual molecules L8: modeling of all possible chemotactic reactions why doesn't this model reproduce experimentally observed perfect adaptation

1. 设 E 是 1 R 中一族(开的 闭的 半开半闭的)区间的并集. 证明 E 是 Lebesgue 可测集

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