Logit-normal distribution - Revision history

en>Qwfp: Various edits to improve layout on windows of lesser width, and to clarify that "logistic normal distribution" multivariate extension in table of contents. Add a couple more refs for that too.

2014-11-04T21:02:24Z

Various edits to improve layout on windows of lesser width, and to clarify that "logistic normal distribution" multivariate extension in table of contents. Add a couple more refs for that too.

← Older revision		Revision as of 23:02, 4 November 2014
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	~~'''Lars Svenonius''' (1927~~, ~~[[Skellefteå]] – September 27, 2010~~, ~~[[Silver Spring~~, ~~Maryland]]) was a Swedish [[logician]]~~ and ~~[[philosopher]]~~.		<br><br>A survival knife is one of the best tools you can use in the wilderness , camping trip or though hiking and backpacking. Survival knives come in quite a few distinctive colors, styles, sizes and brands. I've lengthy had a passion for a very good knife, and as I have discussed already — I carry a pocket knife each day. Just before your survival knife web page is published, I will assessment it and make certain it applies to the submission recommendations for the Wilderness Survival Abilities web page.<br><br>In the event you loved this post along with you wish to receive more info with regards to Spyderco Delica 4 Serrated Review ([http://www.thebestpocketknifereviews.com/spyderco-delica-4-review/ please click the next post]) i implore you to visit the site. 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	~~He was~~ a ~~visiting professor at University of California at Berkeley in 1962-63~~, ~~then held~~ a ~~position at the University of Chicago from 1963–69~~, and ~~was professor of philosophy at~~ the [~~[University of Maryland~~]~~] from 1969~~ to ~~2009~~. ~~He retired in 2009,~~ but ~~was awarded~~ the ~~position of Emeritus Professor,~~ and ~~continued to teach courses and advise students until his death at 83 years~~ of ~~age.~~

	~~He was~~ the ~~first Swedish logician to work on [[model theory]] with his dissertation ''Some problems in Model Theory'' (~~for ~~which~~ the ~~University of Uppsala awarded him~~ a ~~doctorate in 1960)~~. ~~His early work was in formal logic,~~ and ~~he established a reputation~~ for ~~brilliance early in his career with~~ a ~~series of proofs, including an independent proof of~~ [~~[Omega~~-~~categorical theory\|equivalent characterizations of omega~~-~~categorical theories~~]~~]. A 1959 paper of his in ''[[Theoria (philosophy journal)\|Theoria]]'' establishes~~ what is ~~still referred to~~ as ~~the 'Svenonius theorem' on decidability. One~~ of ~~his proponents in Sweden was [[Per Lindström]]~~.<~~ref~~>~~''Handbook of world philosophy'' by John Roy Burr, 1980. ISBN 0-313-22381-5 (page 186)~~<~~/ref~~>

	~~Lars Svenonius' early work~~ was in the ~~field of logic known as model theory,~~ in ~~which properties of~~ the ~~interpretations ("models") of theories are studied~~. This ~~field~~ was the ~~object of intense study~~ and ~~saw great progress in~~ the ~~1950s, largely due~~ to the ~~work of [[Alfred Tarski]] and his students~~ at the ~~University~~ of ~~California, Berkeley~~. At the ~~same time it became much more mathematical, both in techniques and in~~ the ~~concepts used~~. ~~Svenonius' work was~~ of ~~the modern mathematical~~
	~~variety~~.

	~~Svenonius' reputation as~~ a ~~mathematical model theorist was established with~~ the ~~publication~~ of ~~three papers~~ in ~~Theoria~~ in ~~1959 and 1960:~~

	# <~~math~~>~~\aleph_0~~<~~/math~~>~~-categoricity in first-order predicate calculus~~,
	~~# A theorem~~ on ~~permutations in models,~~
	~~# On minimal models of first-order systems~~.

	~~In particular~~, ~~paper (2) contains what is now called "Svenonius' Theorem"~~, ~~an important result on definability of predicates in first order theories~~. ~~Even~~ the ~~statement~~ of ~~this result requires mathematical model-theoretic concepts. It states that if~~ the ~~interpretation of a predicate in any model of a first-order theory~~ is ~~invariant under permutations ("automorphisms") of~~ the ~~model fixing the other predicates~~, ~~then~~ the ~~interpretation of~~ that ~~predicate is definable in every model by a formula involving only the other predicates; furthermore only finitely many such defining formulas are required~~. ~~Beth's earlier [[Beth definability\|definability theorem~~]~~] is~~ a ~~consequence of Svenonius' Theorem~~.

	~~The other two papers include a characterization of theories having only one countable model~~, ~~obtained also by~~ the ~~Polish logican [[Czesław Ryll-Nardzewski]]~~, ~~and results on prime models~~, ~~obtained also by [[Robert Vaught]] at Berkeley~~. ~~All~~ of ~~these results are classics~~ of ~~modern model theory~~.

	~~Presumably as~~ a ~~result of these papers he was named~~ a ~~Visiting Associate Professor at The University of California, Berkeley~~, for ~~1962~~-~~1963, and gave an Invited Address at~~ the ~~International Symposium~~ on the ~~Theory~~ of ~~Models held there in 1963~~. ~~His address was published in the Conference Proceedings (~~The ~~Theory of Models~~, ~~North-Holland Publishing Co~~.~~, 1965) as "On~~ the ~~denumerable models of theories with extra predicates"~~, ~~pp 376–389~~. ~~In this paper he characterizes~~ the ~~countable ("denumerable") structures which~~ can be ~~made into models~~ of a ~~theory by adding interpretations~~ of the ~~extra predicates used in defining~~ the ~~theory. His characterization involves (infinite) expressions beginning with an infinite sequence~~ of ~~alternating quantifiers~~. ~~Such expressions are now interpreted using infinite~~
	two-person games. The importance of this work was only realized after it was rediscovered and extended by Robert Vaught in his work on [[descriptive set theory]] and [[infinitary logic]]s. Svenonius' role is well ~~recognized, for example, by [[Wilfrid Hodges]] who defines "Svenonius games" and "Svenonius sentences" in his encyclopedic treatise Model Theory (Cambridge University Press, 1993).~~

	~~==References==~~
	~~{{Reflist}}~~

	~~==External links==~~
	* [http://www.philosophy.umd.edu/deptwebsite/people/corefaculty/svenonius_lars.html University of Maryland Faculty]
	* [http://www.washingtonpost.~~com/wp~~-~~dyn/content/article/2010/~~10~~/06/AR2010100605442.html Washington Post: Lars Svenonius, 83, emeritus professor of philosophy at U-Md., dies]~~

	~~{{Authority control\|VIAF=26819316}}~~

	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->~~
	~~\| NAME = Svenonius, Lars~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = Swedish logician~~
	~~\| DATE OF BIRTH = 1927~~
	~~\| PLACE OF BIRTH =~~
	~~\| DATE OF DEATH = September 27, 2010~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Svenonius~~, ~~Lars}}~~
	~~[[Category:Swedish logicians]]~~
	~~[[Category:1927 births]]~~
	~~[[Category:2010 deaths]]~~
	~~[[Category:People from Skellefteå Municipality]]~~
	~~[[Category:Swedish philosophers]]~~

en>BeyondNormality: /* External links */

2013-12-10T03:56:30Z

External links

← Older revision		Revision as of 05:56, 10 December 2013
Line 1:		Line 1:
			'''Lars Svenonius''' (1927, [[Skellefteå]] – September 27, 2010, [[Silver Spring, Maryland]]) was a Swedish [[logician]] and [[philosopher]].

			He was a visiting professor at University of California at Berkeley in 1962-63, then held a position at the University of Chicago from 1963–69, and was professor of philosophy at the [[University of Maryland]] from 1969 to 2009. He retired in 2009, but was awarded the position of Emeritus Professor, and continued to teach courses and advise students until his death at 83 years of age.

	~~Greetings. Enable me start off by telling you~~ the ~~author~~'~~s name~~ - ~~Gail Yoshioka~~. ~~North Dakota~~ is in which ~~his dwelling is~~. ~~A person~~ of the ~~factors he enjoys most is going~~ to [~~http~~:/~~/Www~~.~~Britannica~~.~~com/search?query=karaoke karaoke] but he~~ are ~~unable to make it his profession~~. ~~Reserving vacations~~ is the ~~place his most important earnings arrives from but before long~~ he~~'ll be~~ on ~~his individual~~. ~~Examine out~~ the ~~most up~~-to-~~date information~~ on his ~~web page:~~ http://www.~~worldtraveljobs~~.nl/~~aspnet_client~~/~~system_web~~/~~Nike-Air-Max-goedkoop~~.~~cfm<br><br>My web page Nike Air Max Goedkoop [~~[http://www.~~worldtraveljobs~~.nl/~~aspnet_client~~/~~system_web~~/~~Nike~~-~~Air~~-~~Max~~-~~goedkoop~~.~~cfm browse around this web~~-~~site~~]]		He was the first Swedish logician to work on [[model theory]] with his dissertation ''Some problems in Model Theory'' (for which the University of Uppsala awarded him a doctorate in 1960). His early work was in formal logic, and he established a reputation for brilliance early in his career with a series of proofs, including an independent proof of [[Omega-categorical theory\|equivalent characterizations of omega-categorical theories]]. A 1959 paper of his in ''[[Theoria (philosophy journal)\|Theoria]]'' establishes what is still referred to as the 'Svenonius theorem' on decidability. One of his proponents in Sweden was [[Per Lindström]].<ref>''Handbook of world philosophy'' by John Roy Burr, 1980. ISBN 0-313-22381-5 (page 186)</ref>

			Lars Svenonius' early work was in the field of logic known as model theory, in which properties of the interpretations ("models") of theories are studied. This field was the object of intense study and saw great progress in the 1950s, largely due to the work of [[Alfred Tarski]] and his students at the University of California, Berkeley. At the same time it became much more mathematical, both in techniques and in the concepts used. Svenonius' work was of the modern mathematical
			variety.

			Svenonius' reputation as a mathematical model theorist was established with the publication of three papers in Theoria in 1959 and 1960:

			# <math>\aleph_0</math>-categoricity in first-order predicate calculus,
			# A theorem on permutations in models,
			# On minimal models of first-order systems.

			In particular, paper (2) contains what is now called "Svenonius' Theorem", an important result on definability of predicates in first order theories. Even the statement of this result requires mathematical model-theoretic concepts. It states that if the interpretation of a predicate in any model of a first-order theory is invariant under permutations ("automorphisms") of the model fixing the other predicates, then the interpretation of that predicate is definable in every model by a formula involving only the other predicates; furthermore only finitely many such defining formulas are required. Beth's earlier [[Beth definability\|definability theorem]] is a consequence of Svenonius' Theorem.

			The other two papers include a characterization of theories having only one countable model, obtained also by the Polish logican [[Czesław Ryll-Nardzewski]], and results on prime models, obtained also by [[Robert Vaught]] at Berkeley. All of these results are classics of modern model theory.

			Presumably as a result of these papers he was named a Visiting Associate Professor at The University of California, Berkeley, for 1962-1963, and gave an Invited Address at the International Symposium on the Theory of Models held there in 1963. His address was published in the Conference Proceedings (The Theory of Models, North-Holland Publishing Co., 1965) as "On the denumerable models of theories with extra predicates", pp 376–389. In this paper he characterizes the countable ("denumerable") structures which can be made into models of a theory by adding interpretations of the extra predicates used in defining the theory. His characterization involves (infinite) expressions beginning with an infinite sequence of alternating quantifiers. Such expressions are now interpreted using infinite
			two-person games. The importance of this work was only realized after it was rediscovered and extended by Robert Vaught in his work on [[descriptive set theory]] and [[infinitary logic]]s. Svenonius' role is well recognized, for example, by [[Wilfrid Hodges]] who defines "Svenonius games" and "Svenonius sentences" in his encyclopedic treatise Model Theory (Cambridge University Press, 1993).

			==References==
			{{Reflist}}

			==External links==
			* [http://www.philosophy.umd.edu/deptwebsite/people/corefaculty/svenonius_lars.html University of Maryland Faculty]
			* [http://www.washingtonpost.com/wp-dyn/content/article/2010/10/06/AR2010100605442.html Washington Post: Lars Svenonius, 83, emeritus professor of philosophy at U-Md., dies]

			{{Authority control\|VIAF=26819316}}

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME = Svenonius, Lars
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = Swedish logician
			\| DATE OF BIRTH = 1927
			\| PLACE OF BIRTH =
			\| DATE OF DEATH = September 27, 2010
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Svenonius, Lars}}
			[[Category:Swedish logicians]]
			[[Category:1927 births]]
			[[Category:2010 deaths]]
			[[Category:People from Skellefteå Municipality]]
			[[Category:Swedish philosophers]]

en>Khazar2: clean up, typos fixed: mid-point → midpoint using AWB (8097)

2012-07-26T04:19:42Z

clean up, typos fixed: mid-point → midpoint using AWB (8097)

New page

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