Let D be the set of all calendar dates from 4\/30\/1789 to 9\/25\/2014.<\/p>\n
\u2028Let P be the set of names of U.S. presidents.<\/p>\n
\u2028Let F be the set of names of first ladies of the U.S.<\/p>\n
\u2028\u2028Consider the following two functions press : D \u21d2 P where pres(d) is the name of the president of the U.S. on date d (the incumbent on inauguration days, to avoid ambiguity) and lady : P \u21d2 F where lady(p) is the name of the first lady of the U.S. during the presidency of president P.\u2028<\/p>\n
\u20281. Can the composition pres \u00b0 lady be defined? What about lady \u00b0 pres ?<\/p>\n
2. Which of the following functional inverses exist and which do not?\u2028 pres-1, lady-1, (lady\u00b0pres)-1, (pres\u00b0lady)-1 (the -1 should be in superscript)<\/p>\n
Thank you.<\/p>\n","protected":false},"excerpt":{"rendered":"
Let D be the set of all calendar dates from 4\/30\/1789 to 9\/25\/2014. \u2028Let P be the set of names of U.S. presidents. \u2028Let F be the set of names of first ladies of the U.S. \u2028\u2028Consider the following two Read More …<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-70503","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/70503","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=70503"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/70503\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=70503"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=70503"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=70503"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}