Unformatted text preview: v /∂ p k ( p ∗ , w ∗ ) ] / [ ∂ v /∂ w ( p ∗ , w ∗ ) ] = x k ( p ∗ , w ∗ ). Dual Problems In normal discourse, we consider the following two statements to be equivalent: 1. The maximal distance a turtle can travel in 1 day is 1 km. 2. The minimal time it takes a turtle to travel 1 km is 1 day. This equivalence actually relies on two “hidden” assumptions: a. ±or (1) to imply (2) we need to assume the turtle travels a posi-tive distance in any period of time. Contrast this with the case in which the turtle’s speed is 2 km/day but, after half a day,...
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- Fall '10
- Vector Space, Dual problem, p∗, Duality