Relations and Functions

$$N = \{\text{Alan, David, Grace, Mary}\}$$ $$A = \{\text{33 Turing Terrace, ..., 11 Shaw Street}\}$$ $$\begin{align} \{ & \langle\text{Alan, 33 Turing Terrace}\rangle,\\ & \langle\text{David, 66 Hilbert Hill}\rangle,\\ & \langle\text{Grace, 77 Hopper Hollow}\rangle,\\ & \langle\text{Mary, 11 Shaw Street}\rangle\} \subseteq N \times A \end{align}$$

Enrollment Relation

$$\begin{align} E = \{ & \langle\text{Aisha, CSCI 121}\rangle, \langle\text{Aisha, CSCI 122}\rangle,\\ & \langle\text{Aisha, MATH 121}\rangle, \langle\text{Aisha, SPAN 103}\rangle,\\ & \langle\text{Ben, CSCI 121}\rangle, \langle\text{Ben, CSCI 122}\rangle,\\ & \langle\text{Ben, MATH 120}\rangle, \langle\text{Ben, GAME 010}\rangle,\\ & \langle\text{Cam, HIST 107}\rangle, \langle\text{Cam, BIOL 060}\rangle,\\ & \langle\text{Cam, BIOL 102}\rangle, \langle\text{Cam, SPAN 103}\rangle \}\end{align}$$

Circle Relation

Enrollment Function

$$\begin{align} \{ \langle\text{Aisha, \{} & \text{CSCI 121, CSCI 122,} \\ & \text{MATH 121, SPAN 103\}}\rangle, \\ \langle\text{Ben, \{} & \text{CSCI 121, CSCI 122,} \\ & \text{MATH 120, GAME 010\}}\rangle, \\ \langle\text{Cam, \{} & \text{HIST 107, BIOL 060,} \\ & \text{BIOL 102, SPAN 103\}}\rangle \} \end{align}$$