- Research opportunity w/ Prof. Aguilar
- Project on “Linear Algebra and Graph Theory at Work: Analysis of Dynamic Networks”
- Looking for student research assistants for spring and summer
- Paid job
- To apply send resume, statement of interest, and contact info for 2 references to Prof. Aguilar by December 9
- SOFIs
- “Available through Knightweb”
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- Section 7.1
- Relation R from A to B is subset of A × B
- Build (mathematical) relations from (social) family relationships
- The family of King Henry VIII
- Henry VII married Elizabeth of York, and had children
- Arthur
- Margaret
- Henry VIII
- Arthur married Katherine of Aragon
- Henry VIII married Katherine of Aragon, and had child
- Mary
- Henry VIII married Anne Boleyn, and had child
- Elizabeth I
- Henry VIII married Jane Seymour, and had child
- Edward VI
- Henry VIII married Anne of Cleves
- Henry VIII married Katherine Howard
- Henry VIII married Katherine Parr
- Henry VII married Elizabeth of York, and had children
- A “Married To” relation ⊆ A × A
- “Married To” = { (Henry VII, Elizabeth of York), (Arthur, Katherine of A), (Elizabeth of York, Henry VII), … }
- A = people = { Henry VII, Arthur, Elizabeth of York, Katherine of A, … }
- A “Child of” relation
- The family of King Henry VIII
- Relations on more than 2 values (n-ary relations)
- Amazon database is an example of a relation between photos, descriptions, prices, reviews, …
- Problem set
- Equivalence relations
- Read section 7.2