 Solution

ID: past-exam-of-the-probability-statistics-and-options-ii-course-of-the-university-of-oxford/2010/p/p3/a/solution

x

from

U_{n}

is an element

u_{*} \in U_{n}

satisfying

∥ x - u_{*} ∥ = u \in U_{n} in f ∥ x - u ∥

. This is a minimum over the specified approximation subspace, not over all of

H

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