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To estimate the I/O cost of such a query, you can typically focus on the cost of the lookups If you want to make more accurate estimations, also taking into consideration the seek within the index and the ordered partial scan, feel free to do so; but these parts will be negligible as the range grows larger The I/O cost of a seek operation is 3 reads in our case (number of levels in the index) The I/O cost of the ordered partial scan depends on the number of rows in the range (20 in our case) and the number of rows that fit in an index page (more than 600 in our case).

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CREATE SPATIAL INDEX ZIPCODES_GEOG_IDX ON Zipcodes(GEOG) USING GEOGRAPHY_GRID WITH ( GRIDS = (MEDIUM, MEDIUM, MEDIUM, MEDIUM), CELLS_PER_OBJECT = 16 );

The set S contains how many elements The set S contains how many elements The set S contains Solve for n: |S| = n. elements The set S contains 47 elements.

Question sentence Question-word identi ed Question-word replaced by a ll-in-the-blank Blank lled in to produce the answer sentence Mathematical version of the question

The GEOMETRY grid index decomposes space into a regular set of rectangular cells; the geography grid index cannot do this directly . To obtain its gridding, the GEOGRAPHY index flattens the globe into two square regions and then grids these regions . Essentially, other

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For our query, there's actually no additional read involved for the partial scan; that's because all the keys in the range we are after reside in the leaf page that the seek reached, or they might span an additional page if the first key appears close to the end of the page The I/O cost of the lookup operations will be the number of rows in the range (20 in our case), multiplied by one if the table is a heap, or multiplied by the number of levels in the clustered index (3 in our case) if the table is clustered So you should expect around 23 logical reads in total if you run the query against a heap, and around 63 logical reads if you run it against a clustered table.

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Given a set S, the question in this case ( The set S contains how many elements ) has a well-de ned right answer. That s because the cardinality function, which answers how many elements questions about sets, is a well-de ned function. Numbers that answer a how many question are called cardinal numbers in mathematics because they express the cardinality of a set. The nite cardinal numbers are exactly the nonnegative integers, by the way, although

than this flattening, the indexing procedures and their use are identical . So, as with the GEOMETRY indexes, the preceding syntax can be simplified if the default options are desired:

there are many different in nite cardinal numbers. In nite sets are not all in nite in the same way, one could say. Unfortunately, we won t have a chance to look into that fascinating corner of mathematics here. Table 2-7 offers the same analysis of a similar question and its answer.

Remember that the non-leaf levels of the clustered index typically reside in cache because of all the lookup operations going through it; so you shouldn't concern yourself too much over the seemingly higher cost of the query in the clustered table scenario Figure 3-32 has an illustration of the access method over a heap, and Figure 3-33 shows the execution plan for the query..

DROP INDEX ZIPCODES_GEOG_IDX ON Zipcodes; GO CREATE SPATIAL INDEX Zipcodes_GEOG_Idx ON Zipcodes(GEOG)

TABLE 2-7

The number x appears in the list L in what position The number x appears in the list L in what position The number x appears in the list L in position The number x appears in the list L in the 47th position. None (explanation to follow).

How can we tell if a spatial index is being used for a query For simple queries, this is relatively easy . If we consider the following SELECT query, a non-indexed plan will look something like Figure 14-21 .

Figure 3-33. Nonclustered index seek + ordered partial scan + lookups against a heap (execution plan)

Question sentence Question-word identi ed Question-word replaced by a ll-in-the-blank Blank lled in to produce the answer sentence Mathematical version of the question

DECLARE @point GEOMETRY; SET @point = geometry::Point(8010033.78, 3314652.47, 32768); SELECT * FROM Zipcodes WHERE GEOM.STIntersects(@point) = 1;

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