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www.in.govJan 24, 2022 · Ragen Hatcher Democratic State Representative, District 003 1/10/2022 Maureen Bauer Democratic State Representative, District 006 1/6/2022 Patricia A. (Pat) Boy Democratic State Representative, District 009 1/6/2022 ... Kevin Hunter Democratic Allen County Sheriff 1/7/2022 Ed Byers Democratic Clark County Sheriff 1/5/2022
Allen Hatcher - Cornell University
pi.math.cornell.eduTo motivate the definition of a vector bundle let us consider tangent vectors to the unit 2 sphere S2 in R3. At each point x∈S2 there is a tangent plane P x. This is a 2 dimensional vector space with the point xas its zero vector 0x. Vectors vx∈Px are thought of as arrows with their tail at x. If we regard a vector vxin Pxas a vector in R 3,