# Relations and Functions --- <!-- ## Relation Between Names and Addresses --> | Name | Address | |-------|-------------------| | Alan | 33 Turing Terrace | | David | 66 Hilbert Hill | | Grace | 77 Hopper Hollow | | Mary | 11 Shaw Street | \\[ 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} \\] <!-- .element: class="fragment" --> --- ## 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 <img src="circle.png"> --- ## 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} \\]