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Topic: Clubsuit

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	[DjSh:574] (Site not responding. Last check: 2007-10-31)
		We consider various versions of the clubsuit principle.
		This principle is a known consequence of diamondsuit.
		We show however, that this is not true for clubsuit.
	www.math.rutgers.edu /pub/shelah/all/574_abs.html (76 words)

	[No title] (Site not responding. Last check: 2007-10-31)
		\begin{center} $n = 9$ $ \begin{array}{lcl} odd & & even \\ \clubsuit \clubsuit \clubsuit \clubsuit & & \clubsuit \clubsuit \clubsuit \clubsuit \clubsuit \\ \clubsuit \clubsuit \clubsuit & \Longleftrightarrow & \clubsuit \clubsuit \clubsuit \clubsuit \\ \clubsuit \clubsuit \end{array} $ \end{center} \vspace{1in}...Except when n is of the form $\frac{3k^2 \pm k}{2}$.
		In this case, there is one partition with no partner: \begin{center} $n = 7$ $ \begin{array}{lcc} even \\ \clubsuit \clubsuit \clubsuit \clubsuit & \Longleftrightarrow & ?
		\\ \clubsuit \clubsuit \clubsuit & & \end{array} $ \end{center} \end{slide}
	www.rose-hulman.edu /Users/reu/reu99/cukiermd/Public/franklin (100 words)

	combinat::cartesian -- Cartesian product of sets
		{[Clubsuit, 7], [Clubsuit, 8], [Clubsuit, 9], [Clubsuit, 10], [Spadesuit, 7], [Spadesuit, 8], [Spadesuit, 9], [Spadesuit, 10], [Heartsuit, 7], [Heartsuit, 8], [Heartsuit, 9], [Heartsuit, 10], [Diamondsuit, 7], [Diamondsuit, 8], [Diamondsuit, 9], [Diamondsuit, 10]}
		Note that the result is returned as a list.
		{[Clubsuit, 1], [Clubsuit, 2], [Clubsuit, 3], [Spadesuit, 1], [Spadesuit, 2], [Spadesuit, 3], [Heartsuit, 1], [Heartsuit, 2], [Heartsuit, 3], [Diamondsuit, 1], [Diamondsuit, 2], [Diamondsuit, 3]}
	www.mupad.de /doc/25/de/combinat/cartesian.shtml (244 words)

	Citebase - On versions of clubsuit on cardinals larger than aleph1 (Site not responding. Last check: 2007-10-31)
		On versions of clubsuit on cardinals larger than aleph
		Both results are also connected to an earlier result of Dzamonja and Shelah in which they showed that a certain version of clubsuit holds at a successor of singular just in ZFC.
		The first result here shows that a result of math.LO/9601219 can to a certain extent be extended to the successor of a regular.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:math/9911228 (254 words)

	Club (disambiguation) - Wikipedia, the free encyclopedia
		For cards of the trefoil-marked suit of playing cards, or that suit as a whole, see suit.
		For the symbol used in set theory, see clubsuit
		For the Irish brand name for soft drinks, see CandC.
	en.wikipedia.org /wiki/Club_(disambiguation) (285 words)

	2002-15: On Nash-solvability in pure stationary strategies of finite games with perfect information which may have ... (Site not responding. Last check: 2007-10-31)
		It is easy to demonstrate that already zero-sum games with two players may not be solvable.
		Yet, Nash-solvability turns into an exciting open problem under the following simple additional condition: ($\clubsuit$) all local costs are non-negative, i.e.
		In all examples, which we were able to analyze, games satisfying condition ($\clubsuit$) turned out to be properly Nash-solvable, yet the Nash-solvability of such games is an open problem.
	dimacs.rutgers.edu /TechnicalReports/abstracts/2002/2002-15.html (491 words)

	[No title]
		Be sure to show on the stack all variables, parameters, and dynamic and static environment chains.
		(10 points) \par Assume you have a programming language with four operators, %emacs-mathOK $\clubsuit$, $\diamondsuit$, $\heartsuit$, and $\spadesuit$, with left-to-right associativity and the following operator precedence rules: \smallskip\noindent {\settabs\+\indent&Highest precedence\qquad&\cr \+&Highest precedence&$\clubsuit$\cr \+&Middle precedence&$\diamondsuit\quad\heartsuit$\cr \+&Lowest precedence&$\spadesuit$\cr} \smallskip\noindent Show both the tree form (Fig.
		6-2, page 153) and postfix notation for the expression: $$(a\ \diamondsuit\ b\ \spadesuit\ c) \ \heartsuit\ d\ \clubsuit\ e\ \diamondsuit\ (f \clubsuit g)$$ \vfil\eject\noindent Problem 4.
	www.cs.unca.edu /~brock/classes/Spring2003/107/lectures/TeX.txt (625 words)

	AMCA: Iterated Forcing and CH by Todd Eisworth (Site not responding. Last check: 2007-10-31)
		In particular, we will discuss the author's joint work with Roitman on proving the consistency of CH with no Ostaszewski spaces.
		If time permits, we will talk a bit about a strong negation of \clubsuit that is compatible with CH.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts.
	at.yorku.ca /c/a/a/b/61.htm (96 words)

	[No title]
		This is a slower paced course for freshmen who have no substantial background in mathematics but who are interested in mathematics.
		Most of the material taken from the Glimpses is from the clubsuit sections.
		The course is currently running; for more information see the honors_news and honors_syllabus_01 in the Honors_Courses directory.
	carp.rutgers.edu /gtoth/Glimpses/Glimpses_Syllabi (615 words)

	Publications (Site not responding. Last check: 2007-10-31)
		This leads to a natural equivalence notion for gaps about which we answer questions by constructing many simultaneous gaps.
		The first result is proved in ZFC while new combinatorial hypotheses generalizing clubsuit are introduced to prove the second result.
		The cohomology theory is introduced with enough generality to be applicable to other questions in set theory.
	www.iguanavonnegut.net /pubs.html (238 words)

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