Global Positioning System Reference
In-Depth Information
illustrates how the region (base partition) is partitioned. In this case, the
result of the Similarity Join operation (pairs of restaurants and theatres) on
the dataset T is the union of the pairs in P0 and P1 , and the pairs in P0_P1
where one element belongs to window A and the other one to window B .
We refer to this last type of pair as window links . Figure 3 represents the
repartitioning of the window-pair partition P 0_ P 1 of Fig. 2. In this case,
the set of window links in P 0_ P 1 is the union of the window links in Q 0,
Q 1, Q 0_ Q 1{1} and Q 0_ Q 1{2}. Note that other window-pair combinations,
e.g., { E , C }, { D , F }, { E , D }, and { C , F }, do not form window-pair partitions
because the links that can be identifi ed in these combinations are identifi ed
processing other partitions. Specifi cally, the links in { E , C } and { D , F } are
T
AB
P 0
P 1
εε
AB
P0
P1
P0_P1
Window-pair
Partition
Base Partitions
Fig. 2. Partitioning a base partition.
A
B
A
B
Q1
Q 1
D
E
ε
ε
ED
C
C
F
F
Q 0
Q0_Q1{1}
Q0_Q1{2}
Q0
P0_P1
Window-pair Partitions
Base Partitions
Fig. 3. Partitioning a window-pair partition.
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