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major ramifications on query execution plans, and also influences how queries should be formulated to maximize performance It is important to consider these factors as well as your partitioning objectives when partitioning an existing table or designing a new one A major design consideration is that partitioned indexes must contain the partitioning column, either as part of the key or as an included column The partitioning column is required to be part of the clustered index key as well as part of unique index keys, including those that support primary key and unique constraints With nonunique nonclustered indexes, the partitioning column can be an included column if not already part of the index key.

Boolean Algebra Boolean algebra is a system of mathematical logic using the numbers 0 and 1 with the operations AND (multiplication), OR (addition), and NOT (negation) Combinations of these operations are NAND (NOT AND) and NOR (NOT OR) This peculiar form of mathematical logic, which gets its name from the nineteenth-century British mathematician George Boole, is used in the design of digital logic circuits Symbology In Boolean algebra, the AND operation, also called logical conjunction, is written using an asterisk (*), a multiplication symbol ( ), or by running two characters together, for example, X*Y The NOT operation, also called logical inversion, is denoted by placing a tilde (~) over the quantity, as a minus sign ( ) or dash (-) followed by the quantity, as a lazy inverted L ( ) followed by the quantity, or as the quantity followed by an accent or prime sign ( ) An example is X The OR operation, also called logical disjunction, is written using a plus sign (+), for example, X + Y The foregoing are the symbols used by engineers Table 26-1A shows the values of these functions, where 0 indicates falsity and 1 indicates truth In mathematics and philosophy courses involving logic, you may see other symbols used for conjunction and disjunction The AND operation in some texts is denoted by a detached arrowTable 26-1A

If you don t want the partitioning column in a unique index key, the index must be partitioned differently, or not at all, and you must forgo the benefits of alignment for efficiently switching data in and out of tables ( 31, Some practical issues in table partitioning, discusses partition switching in detail) Partitioning adds another dimension to query and index tuning As I mentioned earlier, query execution plans that use a partitioned table or index include operators and/or filters to access only those partitions needed Each partition needed during query execution will require a separate scan or seek If the partitioning column value is specified as a constant in the query, SQL Server can invoke the partition function at query compile time The resultant execution plan will include partition number constants for the needed partitions, and unneeded partitions will not be accessed This is static partition elimination.

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When a query specifies the partitioning column value as a parameter or variable, the execution plan will use the partition function at run time to determine the required partition(s) and avoid those not needed This is dynamic partition elimination The worst performance case is when the partitioning column value isn t specified in the query and all partitions must be accessed Performance of a partitioned table/ index scan without partition elimination is usually the same or better than the same query against a nonpartitioned version A massive data skew between partitions can worsen scan performance, especially in SQL Server 2005 On the other hand, performance of index seeks without partition elimination will likely be worse than that of a nonpartitioned index, because a nonpartitioned index requires only a single seek, whereas a partitioned index without partition elimination requires one seek per partition.

Theorem (logic equation) X+0 = X X*1 = X X+1 = 1 X*0 = 0 X+X = X X*X = X ( X) = X X+( X) = 1 X*( X) = 0 X+Y = Y+X X*Y = Y*X X+(X*Y) = X X*( Y)+Y = X+Y X+Y+Z = (X+Y)+Z = X+(Y+Z) X*Y*Z = (X*Y)*Z = X*(Y*Z) X*(Y+Z) = (X*Y)+(X*Z) (X+Y) = ( X)*( Y) (X*Y) = ( X)+( Y) What it s called OR identity AND identity