Exercise 11. What does linearization mean, in the case of multidimensional storage?2. Explain why dimension order is important when storing multidimensional data in a linearized array.Exercise 2Considering the R-Tree graphically represented through the MBR with a maximal node size of 3, in Annex 1, perform the following tasks:a. Insert, in this order the following data (each of them will be represented as the small red squares): (“08 Qtr2”, “b”), (“08 Qtr2”, “c”), (“09 Qtr1”, “c”). Represent each step graphically, evidencing the produced split. As split method use the linear cost algorithm and as heuristics, the least enlargement criterion.b. Draw the R-Tree according to the obtained graphical representation of the MBR, after performing exercise 2.a.c. Graphically represent (as in the lecture) the following search ([08 Qtr 2, 08 Qtr 3], [a,c]) on both the MBR representation obtained from exercise 2.a, as well as on the R-Tree representation obtained from 2.b.Exercise 31. UB-Trees:a. What is an UB-Tree and why does it use a Z-curve?b. How big should Z-Regions be and why?c. What mechanism can we use to allow hierarchy restrictions and still obtain good performance with UB-Tree based indexes, and how does it work?2. Bitmap indexes:a. What is a multi-component bitmap index and why is it useful?b. What is the idea behind range-encoded bitmap indexes and why are they useful?
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