Mix Mi+1 Clearly, mij= = {MIN (my + mx + 1) + F1-1³ ³), if i=j if j>i (2.9) ish i, is the minimum, taken over all possible values of k between i and j- 1, of the sum of these three terms. The dynamic programming approach calculates the m;;'s in order of in- creasing difference in the subscripts. We begin by calculating m¡ for all i, then m₁,+ for all i, next mi,i+2, and so on. In this way, the terms m₁k and mk+1,j in (2.9) will be available when we calculate mij. This follows since j - i must be strictly greater than either of k-i and j― (k+1) if k is in the range i≤ k
Mix Mi+1 Clearly, mij= = {MIN (my + mx + 1) + F1-1³ ³), if i=j if j>i (2.9) ish i, is the minimum, taken over all possible values of k between i and j- 1, of the sum of these three terms. The dynamic programming approach calculates the m;;'s in order of in- creasing difference in the subscripts. We begin by calculating m¡ for all i, then m₁,+ for all i, next mi,i+2, and so on. In this way, the terms m₁k and mk+1,j in (2.9) will be available when we calculate mij. This follows since j - i must be strictly greater than either of k-i and j― (k+1) if k is in the range i≤ k
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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My algorithms professor is asking us to learn chain matrix multiplication. I have multiple questions.
1. I need help understanding the dynamic
2. For figure 2.16, are we supposed to compute it row by row or collum by column by column, and why?
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