database The select, project and rename operations are called____. Select one: a. Binary operations. b. Ternary Operations. c. None of the above. d. Unary operations.
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Key Concepts
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Determine which of the following binary operations are associative: (a) the operation $\star$ on $\mathbb{Z}$ defined by $a \star b=a-b$ (b) the operation $\star$ on $\mathbb{R}$ defined by $a \star b=a+b+a b$ (c) the operation $\star$ on $\mathbb{Q}$ defined by $a \star b=\frac{a+b}{5}$ (d) the operation $\star$ on $\mathbb{Z} \times \mathbb{Z}$ defined by $(a, b) \star(c, d)=(a d+b c, b d)$ (e) the operation $\star$ on $\mathbb{Q}-\{0\}$ defined by $a \star b=\frac{a}{b}$.
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Find which of the binary operations are commutative and which are associative. Let $\mathrm{A}=\mathbf{N} \times \mathbf{N}$ and $*$ be the binary operation on A defined by $$ (a, b) *(c, d)=(a+c, b+d) $$
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a) What are the operations that correspond to the query expressed using this SQL statement? $$ \begin{array}{l}{\text { SELECT Supplier, Project }} \\ {\text { FROM Part-needs, Parts, inventory }} \\ {\text { WHERE Quantity \leq } 10}\end{array} $$ b) What is the output of this query given the databases in Tables 11 and 12 as input?
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