In mathematics, and more particularly in order theory, several different types of ordered set have been studied.
They include:
Cyclic orders, orderings in which triples of elements are either clockwise or counterclockwise
Lattices, partial orders in which each pair of elements has a greatest lower bound and a least upper bound. Many different types of lattice have been studied; see map of lattices for a list.
Partially ordered sets (or posets), orderings in which some pairs are comparable and others might not be
Preorders, a generalization of partial orders allowing ties (represented as equivalences and distinct from incomparabilities)
Semiorders, partial orders determined by comparison of numerical values, in which values that are too close to each other are incomparable; a subfamily of partial orders with certain restrictions
Total orders, orderings that specify, for every two distinct elements, which one is less than the other
Weak orders, generalizations of total orders allowing ties (represented either as equivalences or, in strict weak orders, as transitive incomparabilities)
... argued Republicans had no choice but to slash funding for that widely used health insurance program in order to reach their goal of cutting $880 billion from a set of programs that includes Medicaid.
The court in a unanimous decision turned down Kaul's request to bar Musk from handing out $1 million checks to attendees of the event just minutes before the rally was set to begin in Green Bay.
Related. ‘A female Donald Trump’. how Gina Rinehart is pushing the Maga message in Australia ... He goes on to say ... McKenzie and others should be set aside, and there should be a judgment in favour of Roberts-Smith – or that a new trial should be ordered ... .
PresidentDonald Trump signs an executive order on TikTok in the Oval Office of the White House, in Washington.(AP file). Trump set the April 5 deadline in January for TikTok to find a non-Chinese buyer or face a U.S ... ALSO READ ... ALSO READ ... business.
AndrewVaughn picked a good time to get his first hit of the season ...It’s not surprising that the offense is struggling ... There’s no set batting order yet, as is evident by the designated Nick Maton batting leadoff for the first time on Sunday ... ....
The first objective of developing a new urban area is to create the "urban buzz" ...Streets support micro and small businesses, and create jobs ... Modernist architects tend to surround their buildings with sterile landscapes, in order to set them apart ... .
Chef Bai Yajuan used a microphone to read the dishes aloud. Six bowls of varying shapes and sizes, arranged in a set order, each containing a different dish, were served ... It was built with a donation from an entrepreneur whose sister is also blind ... .
President Trump's executive order seeking broad changes to how elections are run in the U.S ... Trump’s order calls for the federal voter registration form to be amended so prospective voters must provide documentary proof of citizenship, such as a U.S.
Earlier this year, Trump had already set the tone for his administration\u2019s gender policies by signing an executive order recognising only two sexes\u2014male and female\u2014and declaring that ...