{"id":522,"date":"2025-03-10T17:53:11","date_gmt":"2025-03-10T17:53:11","guid":{"rendered":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/?page_id=522"},"modified":"2025-03-10T17:53:11","modified_gmt":"2025-03-10T17:53:11","slug":"relations","status":"publish","type":"page","link":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/schedule\/relations\/","title":{"rendered":"Relations"},"content":{"rendered":"

Read sections 7.1, 7.2, and 7.3<\/p>\n

    \n
  1. Let S = {1,2,3}. Define a relation R on S which is reflexive.<\/span><\/span>\u00a0<\/span><\/li>\n
  2. Say we have a set which represents the months of the year. <\/span>S = {January, February, March, April, May, June, July, August, September, October, November, December}.<\/span>\u00a0<\/span>Define an equivalence relation R where for x in S, f(x) is the letter that the month starts with.\u00a0<\/span>\u00a0<\/span>Give the equivalence classes (partitions) of S under R.\u00a0<\/span>\u00a0<\/span><\/li>\n
  3. On page 304, a matrix is shown with columns ordered from 0 to 9, and then the columns (and corresponding rows) are rearranged to show a different ordering. Why? What does this new <\/span>ordering<\/span> represent<\/span>?<\/span><\/span>\u00a0<\/span><\/li>\n
  4. Let S = {1,2,3,4,5} and R be a relation on S where R = { (1,1), (1,3), (1,5), (2,2), (2,4), (3,3), (3,5), (4,4), (5,5) }<\/span>\u00a0<\/span>\n

    Is R an order relation on S? Is R a partial ordering on S? Is R a total ordering on S?<\/span>\u00a0<\/span><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    Read sections 7.1, 7.2, and 7.3 Let S = {1,2,3}. Define a relation R on S which is reflexive.\u00a0 Say we have a set which represents the months of the year. S = {January, February, March, April, May, June, July, August, September, October, November, December}.\u00a0Define an equivalence relation R where for x in S, f(x) … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":29,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-522","page","type-page","status-publish"],"_links":{"self":[{"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/pages\/522","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/comments?post=522"}],"version-history":[{"count":3,"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/pages\/522\/revisions"}],"predecessor-version":[{"id":525,"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/pages\/522\/revisions\/525"}],"up":[{"embeddable":true,"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/pages\/29"}],"wp:attachment":[{"href":"https:\/\/eikmeier.sites.grinnell.edu\/csc-208-spring-2025\/wp-json\/wp\/v2\/media?parent=522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}