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Topic: Euclidian

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	Body
		what is intended here by 'euclidian' is that the system is viewed as an assemblage of independent 'closed forms' or 'things' [as in euclidian geometry] which act upon one another in a 'causal' fashion to generate system outcomes.
		while the euclidian approximation leads one to think in terms of 'clean' and 'complete' system interventions (as in moving chess pieces), in reality all systems interventions are 'dirty'.
		dysfunction which arises from the ignoring of evolutionary consequence, as is innate in the euclidian approach, is the analog of ignoring the possibility of infection from 'dirty' surgical intervention.
	www.goodshare.org /asids.htm (4621 words)

	Car Insurance Group - Euclidian
		Euclidian's subsidiary company, Euclidian Underwriting Limited, manages Syndicate 1243 at Lloyds and now has a capacity of £251 million for the 2004 underwriting year of account.
		Euclidian was the first corporate vehicle to start a Lloyds Managing Agency from scratch in 1997, and to establish a new Composite Syndicate – 1243.
		Euclidian Direct Limited provides a full range of broking services that encompass everything from pet, travel, caravan, household and landlord property insurance, tenant buildings and contents and commercial property insurance.
	www.expertcardirectory.co.uk /insurance-group-euclidian.htm (234 words)

	USS Clueless -- The Limits of Mathematics
		Euclidian geometry, the granddaddy of them all, starts as does any mathematical systems with a small set of axioms.
		For instance, in plane geometry, the sum of the angles of a triangle are always a constant, but that's not the case in spherical geometry, where the sum can range from 180 to 540 degrees.
		It's always been an article of faith that space-time was fundamentally Euclidian, yeah, we know that navigation has to use spherical geometry but that's a special case; but if you're travelling in space then you use Euclidian geometry.
	www.electricminds.org /ussclueless/essays/mathematics.htm (1393 words)

	Isometries of the Euclidian Plane
		The group T of translations of the Euclidian plane is a normal subgroup of all the isometries of the plane.
		This is so because it can be shown that any transformation that fixes three or more points that are not on the same line fixes the whole plane and is thus the identity.
		Amazingly, the isometries of the Euclidian plane are a group.
	jwilson.coe.uga.edu /EMT668/EMAT6680.F99/McCallum/WALLPA~1/ISOMET~1.HTM (521 words)

	Statistics Applied to Bioinformatics - Practicals - Clustering with R
		The most familiar distance metric is the Euclidian distance.
		Euclidian distance does is probably not the best metric to reflect the biological concept of co-regulation.
		Test different agglomeration rules (single, average, complete, ward) and distance metrics (Euclidian, Manhattan, correlation,...), and compare each result with the known cancer types.
	www.ucmb.ulb.ac.be /Users/jvanheld/statistics_bioinformatics/practicals/clustering_R.html (777 words)

	Neuro/fuzzy hybrid approach to clustering data - Patent 6904420
		If the determined minimum Euclidian distance is less than or equal to the computed threshold value, then assigning the current input to the cluster corresponding to the minimum distance, and if the determined minimum Euclidian distance is greater than the computed threshold value, then forming a new cluster for the current input.
		Analyzer 560 then determines a minimum Euclidian distance from the computed Euclidian distances and computes a threshold value based on the read data to set granularity for the clustering.
		Then comparator 570 compares the determined minimum Euclidian distance with the computed threshold value, and forms new clusters based on the outcome of the comparison, and further updates cluster weights based on newly formed clusters.
	www.freepatentsonline.com /6904420.html (5676 words)

	[No title]
		And of course he believed that it was in an Euclidian space that this occurred.
		So now we have a Euclidian space with a universal field, which we just said was related to a non-Euclidian space.
		A Euclidian space can be made into a non-Euclidian space by making transformations in the regions where the space is to be curved.
	www.astro.virginia.edu /~dln5q/homepage/ideas/phil350.txt (2557 words)

	National Indemnity Commits $72 Million to Lloyd's Euclidian
		Euclidian's announcement noted that the deal would increase the syndicate's underwriting capacity for the present year to £213 million ($323.7 million).
		Euclidian has been able to raise its capacity by 75 percent for 2002.
		Berkshire Hathaway's commitment is a tribute to the Euclidian Group's success, and a vote of confidence in the Lloyd's market.
	www.insurancejournal.com /news/international/2002/07/04/19622.htm (423 words)

	hyperspace
		The method is quite general, but for this discussion, we will consider only spaces which are subsets of the Euclidian spaces -- the real line, the plane, three dimensional space, and if needed, Euclidian spaces of higher dimension than three.
		The entire x-axis, considered as a subset of the plane, is not compact because it is not bounded, but the circle of radius 2000 about the origin is compact.
		A hyperspace of S is a new space in which the points are compact subsets of S and the distance between points is found using the Hausdorf distance.
	www.spsu.edu /math/stricklen/Hyperspace/hyperspace.htm (1827 words)

	Data Structures and Algorithms for Nearest Neighbor Search in General Metric Spaces
		Of particular interest are spaces that may not be conveniently embedded or approximated in Euclidian space, or where the dimensionality of a Euclidian representation is very high.
		Also relevant are high-dimensional Euclidian settings in which the distribution of data is in some sense of lower dimension and embedded in the space.
		So despite considerable progress for Euclidian space, the development of more general techniques is important; not just because of the problems with high dimension, but also because there is no a priori reason to believe that all or even most useful metrics are Euclidian.
	www.pnylab.com /pny/papers/vptree/vptree (6152 words)

	Worley (Site not responding. Last check: 2007-08-09)
		In the material examples I show below, the material scale is set to 500, the first attribute is white and the second attribute is fl.
		The Euclidian distance computes the real straight line distance between two points.
		To understand them it is better to set the distance to Euclidian and Rooted.
	www.ypoart.com /Downloads/Worley.htm (1396 words)

	Non-Euclidian geometries and theories on Plato's dialogues
		Definition 2: a parallel to a given straight line (D) from a given point A outside this straight line is another straight line (D') including point A and having no intersection with line (D) Let's assume that we stay in two-dimensional geometry for this example.
		But now, let's see what happens if we take our two dimensional "plane" to be the surface of a sphere (which, by the way, happens to be our situation when we draw maps of the earth).
		Non Euclidian geometries try to use other sets of axioms and/or definitions and see whether they can derive from them consistent consequences (consequences that are not contradictory with one another or with the axioms).
	plato-dialogues.org /email/961112_1.htm (1154 words)

	Tertium Organum: Chapter VII
		Non-Euclidian geometry is not metageometry, and non-Euclidian geometry stands in the same relation to metageometry as Euclidian geometry itself.
		The results of non-Euclidian geometry, which have submitted the fundamental axioms of Euclid to a revaluation, and which have found the most complete expression in the works of Bolyai, Gauss, and Lobachevsky, are embraced in the formula:
		Perhaps this last is the most important for the definition of the difference between geometries (Euclidian and non-Euclidian and metageometry).
	www.sacred-texts.com /eso/to/to10.htm (2015 words)

	Using Geometer’s Sketchpad in a Euclidian Geometry class
		Using Geometer’s Sketchpad in a Euclidian Geometry class
		In the Spring of 2002, I student-taught the Euclidian Geometry section of Dr. Bernard Feigenbaum’s class at
		The institutional prejudice appears to be that this text does the most logically consistent and complete treatment of Euclidian geometry of any text they have reviewed.
	homepages.nyu.edu /~cs66/geometry (751 words)

	World Updates; Euclidian shuts syndicate after funding delay.(International)(Euclidian Underwriting Ltd.) - Business ...
		Euclidian Underwriting Ltd. is running off multiline Lloyd's of London syndicate 1243.
		Euclidian is owned by Capital Insurance Holdings P.L.C., which formed earlier this year and hoped to consolidate other small Lloyd's companies into a single publicly traded entity.
		CIH planned to raise [pounds sterling]125 million ($232.5 million) from institutional investors to help capitalize Euclidian's syndicate.
	www.highbeam.com /doc/1G1-125239199.html (162 words)

	Extended euclidian algorithm problem (HELP!!!)
		I'm suppose to use the extended euclidian algorithm, but it has given me such much trouble.
		I get the regular euclidian algorithm, but not the extended one.
		I know its the extended euclidian algorithm which I need to use.
	www.physicsforums.com /showthread.php?p=784869 (362 words)

	Math Forum Discussions
		Re: Request: examples of hard to prove euclidian geometry theorems
		Re: Request: examples of hard to prove euclidian geometry theorems (problems) in your opinion
		The Math Forum is a research and educational enterprise of the Drexel School of Education.
	mathforum.org /kb/thread.jspa?threadID=357476&messageID=1093524 (339 words)

	Gregory Hodowanec: Cosmology Note (4-26-05) The Euclidian Universe (Rhysmonic Cosmology)
		Some basic postulates are now defined as they apply to an undisturbed Euclidian Universe.
		At the present time it appears that Euclidian Geometry describes the undisturbed Universe quite well and that there is no need for the other two proposed theoretical geometries!
		Euclidian geometrical methods strictly apply only to an undisturbed Universe.
	www.rexresearch.com /hodorhys/05-4-26.htm (834 words)

	[No title]
		To the god-like observer, those >things aren't odd at all since the god-like creature has an understanding >of the 3rd dimesion.
		I responded to this (and some later points) in a post which might appear to be at variance with another follow-up, which I feel sort of misses the point.
		Spivak's "Comprehensive Introduction to Differential Geometry", a mere 3000 pages, is an excellent resource starting at the undergraduate level.
	www.math.niu.edu /~rusin/known-math/96/diff.geom (3186 words)

	Keen: Psychic Readings: Servers: euclidian
		Until you sign in, the rate you see does not include international long distance charges.
		euclidian Linux Guru: BIND, Sendmail, Qmail, Apache more..
		Euclidian was very helpful, and answered timely all my questions regarding the project I was working on.
	www.keen.com /listingdetails/Servers/euclidian/0-0-0-5256310 (391 words)

	Computer Graphics, Peripheral Vision & Non Euclidian Geometry
		The suggested mapping is closely related to non Euclidian geometry; this ties in with the fact known to psychologists for over fifty years that the perceptual geometry of human visions strongly non Euclidian.
		Thus, if one were to adapt the Turing test for artificial intelligence to computer vision, then non Euclidian geometry can be expected to play a key role in any attempt to satisfy that the test.
		Building on these ideas, the paper demonstrates that computer graphics has a great deal to lean from non Euclidian geometry, and that in turn computer graphics can contribute significantly to the intelligent application of non Euclidian geometryies to real life problems.
	ideas.repec.org /p/iim/iimawp/852.html (475 words)

	2 3D SU(2) YM theory and Euclidian Gravity
		The reformulation of a YM theory as a ``strong gravity'' is based on the idea that it can exist combination of YM fields which can be define a new metric on space-time.
		Here I present Lunev reformulation with just some modification in the goal to adapt it to our problem.
		(3) It will appears that the minus sign in (1) is necessary in the goal to obtain an euclidian gravity and not an antigravity.
	theory.gsi.de /~brindy/PUBLI/SolEYM/node2.html (257 words)

	IRRV - The Institute of Revenues Rating & Valuation (Site not responding. Last check: 2007-08-09)
		Euclidian Benefits System - Interactive e-learning system for Benefits staff (David Magor)
		A guide to Euclidian Benefits for the manager, for the trainer and for the student (Sean Langley)
		Euclidian Benefits - online training package makes learning 'fun'!
	www.irrv.net /Euclidianitem.asp?id=454 (130 words)

	Euclidian Literary (Site not responding. Last check: 2007-08-09)
		I remember all their faces but, not all the names.
		From this group of euclidians, I am still in touch with Harry Sutton, Doyne Heffley, Devoe Cowell, George Wheeler and Alice Gilmore (April,1998) the deceased now known to me are Ernest Daniel, John Paxton, Raymond Taylor, and Robert Gilmore.
		The Dictionary says: Euclidian: Of or pertaining to Euclid: accordant with the axioms and postulates of his geometry.
	members.aol.com /crongey707/euclid.htm (297 words)

	Euclidian Plc Information \| Business.com
		Euclidian plc became a publicly held company in october 1994.
		The group operates as an investment company providing shareholders with the opportunity to participate in the Lloyds insurance market.
		Negotiated with over 140+ of the top BD's from one central spot.
	www.business.com /directory/financial_services/investment_banking_and_brokerage/brokerage_dealers/euclidian_plc/profile (83 words)

	Math Forum Discussions
		I wonder if I could ask for your help on something.
		maths course I'm doing at school, we're studying the Euclidian algorithm.
		Now, I'm able to understand and use it to find the g.c.d.
	mathforum.org /kb/thread.jspa?threadID=535167&messageID=1620212 (105 words)

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