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Topic: Cartesian

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	Cartesian coordinate system - Wikipedia, the free encyclopedia
		Cartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry.
		The modern Cartesian coordinate system in two dimensions (also called a rectangular coordinate system) is commonly defined by two axes, at right angles to each other, forming a plane (an xy-plane).
		In analytic geometry the Cartesian coordinate system is the foundation for the algebraic manipulation of geometrical shapes.
	en.wikipedia.org /wiki/Cartesian_coordinate_system (1106 words)

	Cartesian closed category - Wikipedia, the free encyclopedia
		The category of all directed graphs is cartesian closed; this is a functor category as explained under functor category.
		In algebraic topology, cartesian closed categories are particularly easy to work with, and it is regrettable that neither the category of topological spaces with continuous maps nor the category of smooth manifolds with smooth maps is cartesian closed.
		Certain cartesian closed categories, the topoi, have been proposed as a general setting for mathematics, instead of traditional set theory.
	www.wikipedia.org /wiki/Cartesian_closed_category (772 words)

	One World, Two Maps (thoughts on the Wikipedia debate). Many-to-Many: (Site not responding. Last check: 2007-11-07)
		Cartesian people assume that any technological change lands you somewhere — reality is just one point of many on the map, and is not especially privileged over other states you could be in.
		Cartesian people want to know, for any change, where you end up, and what the characteristics of the new landscape are.
		When they make mistakes, Cartesian people tend to underestimate the cost in moving from reality to some imagined alternate state, and to overestimate their ability to predict what a global maximum would look like.
	www.corante.com /many/archives/2005/03/09/one_world_two_maps_thoughts_on_the_wikipedia_debate.php (1894 words)

	Cartesian product - Wikipedia, the free encyclopedia
		In mathematics, the Cartesian product (or direct product) of two sets X and Y, denoted X × Y, is the set of all possible ordered pairs whose first component is a member of X and whose second component is a member of Y.
		The Cartesian product is named after René Descartes whose formulation of analytic geometry gave rise to this concept.
		The assertion that the Cartesian product of a non-empty collection of non-empty sets is non-empty is equivalent to the axiom of choice.
	en.wikipedia.org /wiki/Cartesian_product (577 words)

	20th WCP: Cartesian Dualism and the Union of Mind and Body: A Synchronic Interpretation
		Thought and matter are clear and distinct primitive notions that come from reason, whose role is laying the foundations for Cartesian metaphysics and physics, while the primitive notion of union is acquired by the senses and lacks clarity and distinction even while it serves the objective of founding Descartes' moral philosophy.
		Cottinghams Cartesian trialism emerges from the difficulty to regard sensation and imagination as purely mental faculties, due to the fact that they involve the activity of a hybrid unit.
		Bentez argues that while thought and extension are the notions which found the Cartesian metaphysics and physics, the union of mind and body appears as the fundamental notion upon which Descartes builds his moral or practical philosophy.
	www.bu.edu /wcp/Papers/Mode/ModeMonr.htm (2925 words)

	Robert Desgabets
		Although Desgabets himself was not one to adopt Cartesianism in its entirety, in his view his own criticisms perfected and maintained the integrity of the Cartesian principles, while Cordemoy's adoption of atoms and the void was a direct affront to the Cartesian metaphysics.
		Desgabets defends the Cartesian doctrines of sensible qualities, matter, mind-body dualism, mind-body union and interaction in man while criticizing Descartes's argument for the cogito as the first principle of knowledge, the claim that there is such a process as pure intellection, that there are innate ideas, and that ideas have objective reality (pure possibility).
		In his favour, he never strayed from the Cartesian metaphysics, i.e., its substance dualism of mind and matter, substance-mode ontology, mind-body union and interaction, and the view that extension is the essence of matter and thought the essence of mind; and he remained loyal to the Cartesian physics against that of the atomists.
	plato.stanford.edu /entries/desgabets (7067 words)

	Cartesian coordinates - a Whatis.com definition (Site not responding. Last check: 2007-11-07)
		Cartesian coordinates, also called rectangular coordinates, provide a method of rendering graphs and indicating the positions of points on a two-dimensional (2D) surface or in three-dimensional (3D) space.
		The Cartesian coordinate system is used to define positions on computer displays and in virtual reality (VR) renderings.
		The Cartesian plane consists of two perpendicular axes that cross at a central point called the origin.
	whatis.techtarget.com /definition/0,,sid9_gci824296,00.html (427 words)

	cartesian-theory
		The Cartesian structure of space imposes a physical law that all mechanical systems have three degrees of freedom, which explains the shape of a house, a car, an airplane; it is the first principle of all zoological formation and axiomatically predetermines the anatomy of man. The human body is a three-axis Cartesian structure (Fig.
		This Cartesian geometry of mitosis and embryology then is the origin of the Cartesian symmetry of the brain, evidenced in the intersection of the neuraxis, the Medial fissure, and the Central (Rolandic) fissures of the brain- the three Cartesian axes of the brain.
		While the Cartesian theory indicates simply lateralization of the limbic system for N, it now explains the "novel" identification of cortical arousal with E. the Bell-Magendie dichotomy is most visible in the cortex (the motor-sensory strip) which would lead to an identification of E with cortical function.
	proof-of-god.freewebsitehosting.com /cart.html (4916 words)

	Genomic Solutions to Acquire Cartesian Technologies
		Cartesian products meet the needs of scientists in the pharmaceutical, biotech, and life science research markets, helping to automate and increase the process efficiencies in areas such as high-throughput screening, DNA microarray production and combinatorial chemistry.
		Cartesian currently has an install base of 170 microarrayers and is the leader in 1536 well liquid handling for high throughput screening.
		Cartesians' sales for the fiscal year ending October 31, 2001 are projected at over $9 million, with profits in excess of $200,000.
	www.prnewswire.com /cgi-bin/stories.pl?ACCT=104&STORY=/www/story/09-07-2001/0001568104&EDATE= (794 words)

	Solipsism and the Problem of Other Minds [Internet Encyclopedia of Philosophy]
		This Cartesian view of the matter was, in its essentials, accepted by John Locke, the father of modern British empiricism.
		The point which we come to then, in essence, is this: assuming the validity of the Cartesian position, we have to infer that it makes as much or a little sense, on these premises, to attribute any psychological predicate to another human being as it does to attribute it to a table or a rock.
		The Cartesian egocentric view of the mind and of mental events which gives rise both to the spectre of solipsism and attempts to evade it by means of the argument from analogy has its origins in this very misapprehension.
	www.iep.utm.edu /s/solipsis.htm (4283 words)

	Cartesian Product (Site not responding. Last check: 2007-11-07)
		Cartesian product enables you to generate a report containing all combinations of non‑related records or data instances in a multi‑path request.
		Cartesian product is performed on the lowest segment common to all paths, whether or not a field in that segment is referenced.
		When CARTESIAN is set to OFF (the default), the same request results in a report from the CAR data source containing a list of models and standards without logical relationships.
	www.bgsu.edu /offices/its/admin/focus/mf_reports/mrg8.htm (307 words)

	Adventures in Science and Technology - Cartesian Divers Project (Site not responding. Last check: 2007-11-07)
		Air can be compressed much more easily than water, therefore the air inside the Cartesian diver becomes more dense than the water as we push on the sides of the bottle.
		Due to the increase in the relative density of the Cartesian diver, the diver sinks to the bottom of the bottle.
		It is one of Galileo's students, Raffaelo Maggiotti, who first described the Cartesian diver in writing (he called it the Cartesian Devil).
	collections.ic.gc.ca /science/english/phys/projects/pressure.html (533 words)

	natural religion > glossary > Cartesian geometry (Site not responding. Last check: 2007-11-07)
		Cartesian geometry (also known as analytic geometry) was invented by Renee Descartes.
		It is normal, for functions of one variable, to use the x axis to represent the domain of the function and the y axis its range.
		Many of the deep questions in set theory, such as the cardinal number of the continuum, seem to have been motivated by the need to be able to assign a number to every point of a continuous line.
	naturaltheology.net /Glossary/cartesianGeometry.html (941 words)

	Cartesian Coordinates
		In Cartesian coordinate system, one deals with a group of mutually perpendicular axes (or planes).
		For this reason, the Cartesian coordinate system is also called the rectangular coordinate system.
		This is the traditional 3-D Cartesian coordinate system and will be used consistently throughout this website.
	kwon3d.com /theory/crdsys/cart.html (250 words)

	A Philosophical Toy
		In contrast to its hesitant appearance in the history of science, the Cartesian diver is nearly ubiquitous in science teaching.
		The other demonstration is puzzling precisely because a test tube in a bottle appears to reverse the behavior of the Cartesian diver An inverted test tube containing an amount of air insufficient to keep it floating is dropped into a 1.5 liter plastic soft drink bottle.
		Students reach a level of tentative certainty in their knowledge of the Cartesian diver, unsettled with the idea that it may not be possible to find the book where the final truth is written but invigorated with the accomplishment of having thoroughly investigated a compelling physical system.
	www.ed.uiuc.edu /courses/CI241-science-Sp95/resources/philoToy/philoToy.html (4285 words)

	Descartes, Rene. The Columbia Encyclopedia, Sixth Edition. 2001-05
		The more direct followers of Descartes, the Cartesian philosophers, devoted themselves chiefly to the problem of the relation of body and soul, of matter and mind.
		In physical theory his doctrines were formulated as a compromise between his devotion to Roman Catholicism and his commitment to the scientific method, which met opposition in the church officials of the day.
		Mathematics was his greatest interest; building upon the work of others, he originated the Cartesian coordinates and Cartesian curves; he is often said to be the founder of analytical geometry.
	www.bartleby.com /65/de/Descarte.html (753 words)

	Cartesian (Site not responding. Last check: 2007-11-07)
		Normal Cartesian functions (y =...) can be entered into FX Graph with or without the y=.
		Normal Cartesian functions are the most supported type of in FX Graph.
		Cartesian functions are REQUIRED for some of FX Graph's features.
	www.efofex.com /fxgman/cartesian.htm (86 words)

	Dictionary of Philosophy of Mind - skepticism, Cartesian (Site not responding. Last check: 2007-11-07)
		skepticism, Cartesian - Any of a class of skeptical views against empirical knowledge based on the claim that claims to empirical knowledge are defeated by the possibility that we might be deceived insofar as we might be, for example, dreaming, hallucinating, deceived by demons, or brains in vats.
		This kind of premise can be problematic for Cartesian skeptics that want to question empirical knowledge in general, since it itself is a piece of empirical knowledge.
		One defense of premise B is that I might be a brain in a vat.
	www.artsci.wustl.edu /~philos/MindDict/cartesianskepticism.html (1061 words)

	Cartesian coordinates on Encyclopedia.com (Site not responding. Last check: 2007-11-07)
		Cartesians aren't flashy, but they get the job done.
		Where the bodies are buried: Cartesian dispositions in narrative theories of character.(Critical Essay)
		Cartesian Data announces breakthrough in data storage technology for higher capacity, low cost mobile applications; new company's proprietary TMT technology offers alternative to conventional disk drive and FLASH...
	www.encyclopedia.com /html/C/Cartes-coo.asp (498 words)

	Industrial Robots and Factory Automation Equipment - EPSON Robotics
		Cartesian robots, due to the linear nature of their movements, are naturally more precise than rotary motion style robots
		However, typical Cartesian robots have the trade-off of a lower speed for this greater repeatability.
		Additionally, in the past, Cartesian robots have tended to be bulky units which require larger workcells that consume more factory floor space.
	www.robots.epson.com (562 words)

	Chapter 3: Humboldt and the Cartesian Tradition
		The year after Cartesian Linguistics appeared, Hans Aarslef, regarded as a leading scholar in the field, published a major book "in which," Chomsky writes, "he described traditional universal grammar as solely `Cartesian' in origin, completely ignoring the quite obvious Renaissance and earlier origins that are emphasized in Cartesian Linguistics" (31 Mar. 1995).
		The term "Cartesian" is not used here according to its generally accepted definition; Chomsky extends that definition to encompass, as he puts it, "a certain collection of ideas which were not expressed by Descartes, [were] rejected by followers of Descartes, and many first expressed by anti-Cartesians" (31 Mar. 1995).
		The work that Chomsky assigned to the Cartesian corpus, and the tradition of research that the Cartesians had upheld, was, in Chomsky's opinion, more pertinent than the research of contemporary scholars, and certainly more useful than that which was being produced in the field of the history of linguistics.
	cognet.mit.edu /library/books/chomsky/chomsky/3/6.html (915 words)

	Information: Resurrection of the Cartesian Physics
		In this regard, the Cartesian physics prior to Newtonian successor is perceptive enough to appreciate the significance of signaling and communication in the local perspective.
		The Cartesian physics was rescued by forcing it to abandon its adherence to the issue of communication among the participating material bodies.
		The Cartesian physics, on the other hand, is explicit in directly facing the issue of those material configurations being local both in space and in time by way of appreciating the role of signaling and communication.
	bio.nagaokaut.ac.jp /~matsuno/preprints/RESURREC.htm (4426 words)

	Technology Opportunity: Robust and Efficient Generation of Cartesian Meshes for CFD (Site not responding. Last check: 2007-11-07)
		Fundamentally, in Cartesian approaches, one trades the case-specific problem of generating a body-fitted surface mesh for the more general problem of computing and characterizing intersections between hexahedral mesh cells and body surfaces.
		Thus, all difficulties associated with meshing a given geometry are restricted to a lower-order manifold that constitutes the wetted surface of the geometry.
		Unlike the surface cells of a body-fitted mesh, the cells of a Cartesian mesh that intersect the surface are describable without describing the surface itself.
	ctoserver.arc.nasa.gov /techopps/cfd.html (590 words)

	SVG Cartesian Viewport (Site not responding. Last check: 2007-11-07)
		When dealing with the presentation of graphs, a cartesian coordinate system (y-axis up) is more advantageous than SVG's (y-axis down).
		I show you a simple way to establish a cartesian viewport inside your SVG document, based on group transforms.
		Take care of the side effect when using text in this cartesian viewport, that it is (unequally) scaled and reflected.
	www.mecxpert.de /svg/cartesian.html (221 words)

	Antoine Le Grand
		In England, he taught philosophy and theology, advocating Catholicism and eventually Cartesianism, the latter being as unpopular as the former was perilous.
		This problem is especially acute for Cartesians who held that there is a modal difference between what is found at the level of sensory perception and intellection, such that impressions cannot contain any of the properties found at the level of ideas.
		He later rejected this view of the passions and argued the Cartesian view that the passions ought to be trained (not expunged) in the moral life.
	plato.stanford.edu /entries/legrand (4191 words)

	Cartesian (Site not responding. Last check: 2007-11-07)
		It is the locus of a point P whose distances s and t from two fixed points S and T satisfy s + mt = a.
		The curve was also studied by Newton in his classification of cubic curves.
		1 then the Cartesian Oval C is a central conic while if m = a/c then the curve is a Limacon of Pascal (Étienne Pascal).
	www-groups.dcs.st-and.ac.uk /~history/Curves/Cartesian.html (136 words)

	Cartesian Corp - Home Page
		Cartesian was formed with the goal of combining the expertise of craftsman with the technology of today to solidify a foundation for first class manufacturing.
		To this solid foundation we have added the systems and trained personnel to efficiently supply our customers with the parts, services, and value, they need to be competitive.
		Cartesian Corp. has a wide range of customers varying from the railroad, diesel power supply, agricultural, trucking, building, and even decorative and advertising industries.
	www.cartcorp.com (203 words)

	Test: Anyone can draw a map - why innovation is neither Radial nor Cartesian
		At the risk of sounding even more 'cartesian', this is a ridiculous over-simplification, and artificially polarises the debate we were having about the impact of folksonomies as an innovation.
		He then extends the cartesian analogy to explain why only companies who have a monopoly - or think they do - engage in pure research, as cartesian approaches to innovation require more resources over longer periods of time.
		Instead of innovation being depicted as a single line, it is a complex network of innovations and communities [click here to see this illustrated in a pop-up window].
	www.test.org.uk /archives/002393.html (1049 words)

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