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Difference between revisions of "Template:AotD"

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===[[Zorn's Lemma]]===
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===[[Joining an ARML team]]===
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'''Zorn's Lemma''' is a [[set theory | set theoretic]] result which is equivalent to the [[Axiom of Choice]].
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Team selection for the [[American Regions Mathematics League]] varies from team to team.
  
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Let <math>A</math> be a [[partially ordered set]].
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Florida ARML sends two teams to ARML each year. The selection criteria for the Florida ARML team takes into consideration several factors:
  
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We say that <math>A</math> is ''inductively ordered'' if every [[totally ordered set | totally ordered]] [[subset]] <math>T</math> of <math>A</math> has an upper bound, i.e., an element <math>a \in A</math> such that for all <math>x\in T</math>, <math>x \le a</math>.  We say that <math>A</math> is ''strictly inductively ordered'' if every totally ordered subset <math>T</math> of <math>A</math> has a [[least upper bound]], i.e., an upper bound <math>a</math> so that if <math>b</math> is an upper bound of <math>T</math>, then <math>a \le b</math>.
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*[[AMC]] and [[AIME]] performance
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*Past [[AMC]], [[AIME]], and [[USAMO]] scores
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*Past [[ARML]] performance
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*FAMAT-designated competitions
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*An annual statewide tryout test 
  
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An element <math>m \in A</math> is [[maximal element | maximal]] if the relation <math>a \ge m</math> implies <math>a=m</math>.  (Note that a set may have several maximal... [[Zorn's Lemma|[more]]]
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The organizers are Jason Wiggins of... [[Joining an ARML team|[more]]]
 
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Revision as of 18:41, 20 December 2007

Joining an ARML team

Team selection for the American Regions Mathematics League varies from team to team.

Florida ARML sends two teams to ARML each year. The selection criteria for the Florida ARML team takes into consideration several factors:

  • AMC and AIME performance
  • Past AMC, AIME, and USAMO scores
  • Past ARML performance
  • FAMAT-designated competitions
  • An annual statewide tryout test

The organizers are Jason Wiggins of... [more]

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