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Topic: Diamondsuit

	Diamondsuit - Wikipedia, the free encyclopedia
		In mathematics, and particularly in axiomatic set theory,
		(diamondsuit or diamond) is a certain family of combinatorial principles.
		For a given cardinal number κ and a stationary set
	en.wikipedia.org /wiki/Diamondsuit (140 words)

	APS - 2005 APS April Meeting - Event - Weak Boson Fusion Studies with H$\diamondsuit $ZZ$\diamondsuit $ll$\nu \nu $ and ... (Site not responding. Last check: 2007-10-21)
		Abstract: R8.00002 : Weak Boson Fusion Studies with H$\diamondsuit $ZZ$\diamondsuit $ll$\nu \nu $ and H$\diamondsuit \tau \tau \diamondsuit $l$\nu \nu $ for CMS Experiment
		We report the studies done, by the University of Iowa CMS group, on the sensitivity of the CMS detector for the discovery of the Standard Model Higgs Boson.
		Signal and background rates as well as the final signal significances are evaluated for H$\diamondsuit $ZZ$\diamondsuit $ll$\nu \nu $ and H$\diamondsuit \tau \tau \diamondsuit $l$\nu \nu $ channels via vector boson fusion, in the mass range between 120GeV and 1TeV.
	meetings.aps.org /Meeting/APR05/Event/29358 (131 words)

	MuPAD documentation
		[[Diamondsuit, 7], [Diamondsuit, 8], [Diamondsuit, 9], [Diamondsuit, 10], [Heartsuit, 7], [Heartsuit, 8], [Heartsuit, 9], [Heartsuit, 10], [Spadesuit, 7], [Spadesuit, 8], [Spadesuit, 9], [Spadesuit, 10], [Clubsuit, 7], [Clubsuit, 8], [Clubsuit, 9], [Clubsuit, 10]]
		[[Diamondsuit, 1], [Diamondsuit, 2], [Diamondsuit, 3], [Heartsuit, 1], [Heartsuit, 2], [Heartsuit, 3], [Spadesuit, 1], [Spadesuit, 2], [Spadesuit, 3], [Clubsuit, 1], [Clubsuit, 2], [Clubsuit, 3]]
		{[Diamondsuit, 1], [Diamondsuit, 2]} {[1, Diamondsuit], [2, Diamondsuit]}
	www.mupad.de /doc/30/de/combinat_cartesian.html (252 words)

	[No title]
		\hfill $\diamondsuit$ \smallskip Our next result, Theorem III.4, shows that integrals involving $\zeta$ on an $\epsilon$-neighborhood of the boundary are bounded by expressions of the form $F\cdot \epsilon^s$, where $F$ depends only on $\Omega$, $\Vert \zeta \Vert_p$, $\Vert \nabla\zeta \Vert_p$, and $\Vert \Delta_p\zeta \Vert_{p'}$.
		{\bf Z}\^p_2+k\{\bf Y}\^p_2-kp\{\bf Y}\^{p-2} {\bf Y} \cdot {\bf Z}.$$ \hfill $\diamondsuit$ By combining the lemmas of this section, we obtain the estimates needed for Section III.
		\hfill $\diamondsuit$ \medskip \noindent{\bf Acknowledgments.} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% The authors wish to thank W. Evans, D. Harris, V. Liskevich, and P. Tak\'a\v{c} for their useful conversations and references.
	www.emis.de /journals/EJDE/1999/38/fleckinger-tex (3624 words)

	Theory AxSound (Isabelle repository version)
		To gain validity of the further execution of while, to finally get @{term "(P'\=False\=\) \ s3 Z"} we have to get a hypothesis about the subsequent unfoldings (the whole loop again), too.
		new_xcpt_var vn) \ (new_xcpt_var vn s2) Z" by auto from valid_c2 this valid_A conf_new_xcpt eval_c2 wt_c2 da_c2' show "R \ s3 Z" by (rule validE) qed qed moreover from eval wt da conf_s0 wf have "s3\\(G,L)" by (rule evaln_type_sound [elim_format]) simp ultimately show ?thesis..
		set_lvars empty) \ ((set_lvars empty) s1) Z" by auto from valid_init Q' valid_A conf_s1_empty eval_init wt_init da_init have "(set_lvars l.; R) \ s2 Z" by (rule validE) with s3 l have "R \ s3 Z" by simp moreover from eval wt da conf_s0 wf have "s3\\(G,L)" by (rule evaln_type_sound [elim_format]) simp ultimately show ?thesis..
	isabelle.in.tum.de /Verificard/Bali/AxSound.html (2599 words)

	Atlas: Parametrized diamond principles by Justin Tatch Moore (Site not responding. Last check: 2007-10-21)
		This talk will discuss some of aspects of a class of axioms which are build around the combinatorial principle \diamondsuit of Jensen.
		The relation of these axioms to \diamondsuit is analagous to the relation of statements such as non(
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caik-40.
	atlas-conferences.com /c/a/i/k/40.htm (73 words)

	[DjSh:574] (Site not responding. Last check: 2007-10-21)
		We consider various versions of the $\clubsuit$ principle.
		This principle is a known consequence of $\diamondsuit$.
		It is well known that $\diamondsuit$ is not sensitive to minor changes in its definition, e.g.
	www.math.rutgers.edu /pub/shelah/abstracts/574.html (76 words)

	[MkSh:375] (Site not responding. Last check: 2007-10-21)
		In this logic, we can give standard compactness proofs of various results.
		Next, we attempt to get compactness results for some other logics without recourse to $\diamondsuit$, i.e., all our results are in ZFC.
		We get the full result for the language where we quantify over automorphisms (isomorphisms) of ordered fields in Theorem 6.4.
	www.math.rutgers.edu /pub/shelarch/abstracts/375.html (206 words)

	[No title]
		For qed use \diamondsuit \font\eightrm=cmr8 \font\eighti=cmti8 \font\eightbf=cmbx8 \headline={\ifnum\pageno=1 \hfill\else% {\tenrm\ifodd\pageno\rightheadline \else \leftheadline\fi}\fi} \def\rightheadline{EJDE--1998/17\hfil linear thermo-viscoelastic model\hfil\folio} \def\leftheadline{\folio\hfil Wei-Jiu Liu \& Graham H. Williams \hfil EJDE--1998/17} \voffset=2\baselineskip \vbox {\eightrm\noindent\baselineskip 9pt % Electronic Journal of Differential Equations, Vol.\ {\eightbf 1998}(1998) No.~17, pp.
		{\rm div}\,\varphi (s)\_0^2]\,ds\,.\cr }$$ By Gronwall's inequality (see [4], p.35), (3.6) follows from (3.12) Similarly, by multiplying the second equation of (3.2) by $\psi$ and integrating over $\Omega\times (0,t)$, we can deduce (3.7).\hfill $\diamondsuit$ In order to establish observability inequalities for the system (3.2), we transform (3.2) into a thermoelastic system.
		\hfil $\diamondsuit$ By Lemma 3.3, we have the following observability inequality for (3.2).
	www.univie.ac.at /EMIS/journals/EJDE/Volumes/1998/17/Liu-tex (2222 words)

	Theory DefiniteAssignmentCorrect (Isabelle repository version)
		with wt_e G have "?Jmp jmps s1" by simp moreover have hyp_then_else: "PROP ?Hyp (In1r (if the_Bool b then c1 else c2)) s1 s2 \".
		moreover have hyp_init: "PROP ?Hyp (In1r (Init C)) (Norm s0) s1 \".
		from NewA.prems obtain wt_init: "Env\init_comp_ty elT\\" and wt_size: "Env\e\-PrimT Integer" by (elim wt_elim_cases) (auto dest: wt_init_comp_ty') have "PROP ?Hyp (In1r (init_comp_ty elT)) (Norm s0) s1 \".
	isabelle.in.tum.de /VerifiCard/Bali/DefiniteAssignmentCorrect.html (4258 words)

	Gary Gruenhage (Site not responding. Last check: 2007-10-21)
		The following question was attributed to V.I. Ponomarev by E.K. van Douwen: If f:X-> Y is a closed surjection, and X is normal, must there be a closed subset Z of X such that the restriction of f to Z is an irreducible closed surjection?
		In his article in the Handbood of Set-theoretic Topology, van Douwen presented a consistent counterexample (\diamondsuit was assumed), in which X was perfectly normal and Y was the space of rational numbers.
		It remained an open question whether or not there was a counterexample in ZFC, or if there were any counterexample with X paracompact.
	www.utm.edu /~jschomme/topology/c/a/a/m/31.htm (157 words)

	GPCRDB Extraction of mutation data from the literature
		B, Internalization kinetics of the wild-type ({bullet}), I130A ({triangleup}), M134A ({flsquare}), and M134D ({diamondsuit}) mutant AT1A receptors were determined as described in Materials and Methods
		The M134D mutation resulted in further impairment of the inositol phosphate response (Fig.
		Alanine scanning of the adjacent residues showed that substitution of Ile130, His132, and Pro133 reduced agonist-induced inositol phosphate signal generation, whereas mutations of Met134 also impaired receptor internalization
	www.gpcr.org /7tm/mutation/SameResidue_Xtext/AG2R_RAT_134_Xtext.html (360 words)

	Book's Preface (Site not responding. Last check: 2007-10-21)
		To order call 1-800-872-7423 or link to Cambridge University Press order page.
		The course presented in this text concentrates on the typical methods of modern set theory: transfinite induction, Zorn's lemma, the continuum hypothesis, Martin's axiom, the diamond principle $\diamondsuit$, and elements of forcing.
		The choice of the topics and the way in which they are presented is subordinate to one purpose -- to get the tools that are most useful in applications, especially in abstract geometry, analysis, topology, and algebra.
	www.math.wvu.edu /~kcies/Preface.html (875 words)

	Paul J. Szeptycki (Site not responding. Last check: 2007-10-21)
		New results on separation in first countable countably paracompact spaces have been obtained: Assuming \diamondsuit for stationary systems, countably paracompact subspaces of \omega
		-collectionwise Hausdorff assuming \diamondsuit* (joint work with K.D. Smith).
		The second result gives an affirmative answer to a question of Steve Watson.
	www.utm.edu /staff/jschomme/topology/c/a/a/m/32.htm (80 words)

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