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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 6.055J / 2.038J The Art of Approximation in Science and Engineering Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . 2 Assorted subproblems 9 2.2 Tree representations The structure of a divide-and-conquer estimate, with the steps of subdividing, is hierarchi- cal. An ideal representation of hierarchical structure is a tree. Therefore to illustrate this representation, this section redoes our analysis of the pit spacing using trees. The estimate using the area and capacity of a CDROM is the most elaborate method capacity, area capacity area in Section 2.1 for finding the pit spacing, so lets represent it as a tree. The root of the tree is capacity, area, a tag that reminds us of the method. As the tag suggests, to do the estimate requires finding the capacity and area, so the tree starts with two branches. The area is easy to estimate, so the next step is to subdivide the capacity into easier parts....
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feb08a - MIT OpenCourseWare http://ocw.mit.edu 6.055J /...

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