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Topic: Asymptote

	Asymptote - Wikipedia, the free encyclopedia
		An asymptote is a straight line or curve which a curve approaches as one moves along the curve.
		A specific example of asymptotes can be found in the graph of the function f(x) = 1/x, in which two asymptotes are seen: the horizontal line y = 0 and the vertical line x = 0.
		Asymptotes of a graph of a function need not be parallel to the x- or y-axis, as shown by the graph of f(x)=x +1/x, which is asymptotic to the y-axis and the line y = x.
	www.sciencedaily.com /encyclopedia/asymptote (505 words)

	Asymptote (Site not responding. Last check: 2007-08-21)
		An asymptote to a curve is a straight line that the curve approaches in such a manner that it becomes as close as one might wish to the line by going far enough along the line.
		Asymptote New York firm with international portfolio, their projects range from spatial experimentation and installations, to building and urban design, on to computer generated environments and product design.
		Asymptote consulting Planification et coordination de projet, contrôle des coûts sur projets industriels et développement spécifique.
	www.serebella.com /encyclopedia/article-Asymptote.html (538 words)

	Asymptote - Wikipedia
		Eine Asymptote ist eine Tangente in der Unendlichkeit.
		Eine Asymptote ist eine Gerade, der sich die Funktionswerte einer Funktion beliebig weit annähern, diese jedoch nie erreichen.
		Der Begriff der schrägen Asymptote wird manchmal dahingehend verallgemeinert, statt Geraden bestimmte "einfache" Funktionen zuzulassen, die die obige Limes-Bedingung erfüllen.
	de.wikipedia.org /wiki/Asymptote (562 words)

	asymptote - Hutchinson encyclopedia article about asymptote (Site not responding. Last check: 2007-08-21)
		The x and y axes are asymptotes to the graph of xy = constant (a rectangular hyperbola).
		If a point on a curve approaches a straight line such that its distance from the straight line is d, then the line is an asymptote to the curve if limit d tends to zero as the point moves towards infinity.
		Among conic sections (curves obtained by the intersection of a plane and a double cone), a hyperbola has two asymptotes, which in the case of a rectangular hyperbola are at right angles to each other.
	encyclopedia.farlex.com /asymptote (161 words)

	Asymptote (Site not responding. Last check: 2007-08-21)
		An asymptote to a curve is a straight line that the curve approaches in such manner that it becomes as close as might wish to the line by going enough along the line.
		A "real-life" example such an asymptotic relationship would involve a kitten standing 1 m from a box ; and if every hour the kitten walks halfway to the box; this results a situation in which the kitten never the box; because the distance it travels during each hour is more than halfway to the box.
		When an asymptote is not parallel the x or y axes it is an oblique asymptote.
	www.freeglossary.com /Asymptote (460 words)

	Asymptote: FLUX - Lise Anne Couture and Hani Rashid :: books at arcspace.com
		In mathematical terms, the word "asymptote" is defined as a line that a given curve gets closer and closer to, but never touches, as it gets further from the origin towards infinity.
		In architectural terms, Asymptote is the Manhattan-based architectural design and research practice established by Lise Anne Couture and Hani Rashid in 1989.
		Echoing Asymptote's approach, this book presents a seamless trajectory of projects organized in a non-linear fashion and illustrated with installation photographs, collaged photographs, and computer generated diagrams and environments, all in color.
	www.arcspace.com /books/Asymptote_FLUX/flux_book.html (847 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-08-21)
		Near a vertical asymptote x is bounded and y grows without bound, so the left side grows without bound.
		Then the equations of the asymptotes will have the form: 0x + 1y = C or 1x + 0y = C that is, y = C or x = C. Thus in this case, the asymptotes are either horizontal or vertical.
		Thus the horizontal asymptote is y = 0.
	www.mathforum.org /library/drmath/view/52106.html (381 words)

	ARCH'IT allestimenti / Metamorph
		Especially striking and engaging is Asymptote's complete transformation of the enfilade of longitudinal spaces in the Arsenale into a modulating terrain on which over 220 projects are exhibited with models, drawings and video installations.
		For Asymptote the space of exhibition reinterpreted as a place for experimentation is crucial for research and envisioning architectural futures and possibilities.
		Asymptote's transformation of the Cordiere in particular was predicted on a modulating spacial sequence developed by producing a morphing animation involving the actions of torquing and 'stringing' the entire space.
	architettura.supereva.it /allestimenti/20040913/index.htm (1359 words)

	Asymptotes - Free Math Help
		An asymptote is, essentially, a line that a graph approaches, but does not intersect.
		Thus, y=0 is a horizontal asymptote for the function y=1/x.
		The second type of asymptote is the vertical asymptote, which is also a line that the graph approaches but does not intersect.
	www.freemathhelp.com /asymptotes.html (616 words)

	Architecture Internet Cyberspace : Arquitectura Internet y Ciberespacio
		Asymptote was founded in 1989 and is well recognized in architectural circles for competitions and installations that explore the relationship between the digital and physical worlds.
		This commission was for Asymptote a unique opportunity to build what they have been experimenting for almost a decade.
		Asymptote was just contracted for another high-profile cyber-real project: The" Guggenheim Virtual Museum" for the prestigious Guggenheim Foundation in New York.
	members.tripod.com /wwwandia/art/100.html (918 words)

	Wired News: NYSE Gets 'Ramped' Up
		Asymptote architect Hani Rashid and his team are also working with manufacturers to develop innovative tools for interacting with the mass of data, such as VRML "binoculars" to deliver 3D images.
		For Asymptote, which is also slated to design an ambitious "Virtual Museum" for the Guggenheim Museum in New York, the NYSE project is another opportunity to gain street credibility -- Wall Street style -- as a firm that can visualize and execute elegant, effective structures in real space as well as virtual space.
		Asymptote's radical vision for the Gateway, named the Steel Cloud, was a structure a third of a mile long designed to occupy the airspace above the Hollywood Freeway.
	www.wired.com /news/culture/0,1284,15051,00.html (898 words)

	.: the snow show \| participants - architects :. (Site not responding. Last check: 2007-08-21)
		The mathematical term 'asymptote' is defined as the infinite approach of a hyperbolic curve to a line of stasis without ever reaching a zero state.The firm Asymptote embodies this moniker as an embrace and a departure from architecture, by examining it through digital technologies and paradigms of the human spatial domain.
		Asymptote a design, architecture, and research practice was founded in 1989 in New York City, by Lise Anne Couture and Hani Rashid.
		At the moment Asymptote is completing design work on their next large scale building work the FLUX Exhibition Pavilion in the Fiera in Bologna, Italy.
	www.thesnowshow.net /participants/architects/asymptote.php (608 words)

	Sztuka Architektury (Site not responding. Last check: 2007-08-21)
		Projekt autorstwa Asymptote dla Wirtualnego Muzeum Guggenheim to dostępny w Internecie interaktywny environment architekturalny wygenerowany w celu doświadczenia sztuki stworzonej specjalnie dla medium cyfrowego.
		Asymptote zaprojektowało także Knoll A3 - nowy system biur dla Knoll International, będący próbą zastosowania nowych technologii i futurystycznych tendencji w otoczeniu biurowym, oraz A3i - w pełni interaktywną wielowymiarową stronę internetową dla produktu A3.
		Asymptote cieszy się szerokim uznaniem na polu artystycznym jako biuro realizujące projekty od wielkich instalacji w przestrzeni publicznej po mniejszej skali multimedialne projekty w galeriach sztuki współczesnej.
	www.sztuka-architektury.pl /index.php?ID_PAGE=546 (519 words)

	Brother Where Art Thou?
		So their first collaboration — the Institute of Contemporary Art-commissioned "stratascape Asymptote" — is a coup not only for this city’s most progressive gallery, but for brothers so famously iconographic.
		Asymptote’s concept for new model architecture is that it reads and writes space, tackling first the rethinking of issues and solutions, flushing out all cliche, then re-entering the client’s mind anew with a fresh virtual look at another reality.
		Hani discovered new ways in which people cohabit a space, whether communicating or seeking privacy, by recognizing new protocols and behaviors, many of which were tempered by virtual relations — even down to what exists between clothing worn and digital interfaces used.
	www.citypaper.net /articles/120601/ae.brothers.shtml (1039 words)

	Asymptotes: Examples
		The vertical asymptotes (and any restrictions on the domain) come from the zeroes of the denominator, so I'll set the denominator equal to zero and solve.
		Since the degree of the numerator is one greater than the degree of the denominator, I'll have a slant asymptote (not a horizontal one), and I'll find the slant asymptote by long division.
		This last case is not the norm for slant asymptotes, but you should expect to see at least one problem of this type, including perhaps on the test.
	www.purplemath.com /modules/asymtote4.htm (573 words)

	asymptote - strategic tools
		Asymptote Inc. is located in Ontario, Canada with services provided in North America and Europe.
		Asymptote Inc. was founded in 1995 to assist organizations in managing uncertainty and designing successful futures.
		The principle of Asymptote is Rick Fenton, PhD, PEng, with over 20 years experience applying scientific concepts to the challenges facing organizations.
	www.asymptote-inc.com /contact.html (134 words)

	Asymptote (Site not responding. Last check: 2007-08-21)
		For it was nothing other than the path of the dancer's soul; and he doubted if it could be found unless the operator imagines himself at the puppet's center of gravity - that is, in other words, dance.
		The term "asymptote" describes a paradox, both in a mathematical and in a metaphorical sense: two elements, e.g.
		The idea for the installation "Asymptote" is based on the essay "Über das Marionettentheater" by Heinrich von Kleist from 1801, involving a dancer, who takes marionettes as his model.
	www.ok-centrum.at /english/ausstellungen/cyberarts00/stanley.html (349 words)

	freshmeat.net: Project details for Asymptote (Site not responding. Last check: 2007-08-21)
		Asymptote is a powerful descriptive vector graphics language for technical drawing, inspired by MetaPost but with an improved C++-like syntax.
		Asymptote is a programming language as opposed to just a graphics program.
		This release extends Asymptote to three dimensions, with the addition of triple and guide3 types and projections.
	www.webwarper.net /ww/freshmeat.net/releases/201938 (264 words)

	Graphs of Logarithmic Functions
		The properties such as domain, range, vertical asymptotes and intercepts of the graphs of these functions are also examined in details.
		Close to the vertical asymptote x = -2, the graph of f decreases without bound as x approaches -2 from the right.
		By examining function f it is easy to show that this is an even function and its graph is symmetric with respect to the y axis.
	www.analyzemath.com /Graphing/GraphLogarithmicFunction.html (1023 words)

	0.75 in (Site not responding. Last check: 2007-08-21)
		[Asymptotes]An asymptote is a line, vertical, horizontal, or slanted, which the graph of the function approximates ``near infinity''.
		A vertical asymptote is a vertical line x = a, where a is a point at which the function has an infinite limit.
		Usually, but not always, vertical asymptotes are places where the denominator of the expression for f(x) has value 0.
	www.lehigh.edu /~dlj0/courses/51ss100-21-23.html (873 words)

	Asymptotes
		A line d is an asymptote of a curve C if and only if the limit of the distance from a point P of C to d is zero, if P recedes indefinitely along the curve.
		If an asymptote is parallel with the y-axis, we call it a vertical asymptote.
		If an asymptote is parallel with the x-axis, we call it a horizontal asymptote.
	www.ping.be /~ping1339/asym.htm (542 words)

	Asymptote (Site not responding. Last check: 2007-08-21)
		An asymptote to a curve is a straight line that the curve approaches in such a manner that it becomes as close as one might wish to the line by going farenough along the line.
		A curve approaching a horizontal asymptote (such as in the precedingexample's
		When an asymptote is not parallel tothe x or y axes, it is called an oblique asymptote.
	www.therfcc.org /asymptote-211192.html (252 words)

	Archinect : Books : Asymptote: Flux
		Asymptote, an award-winning New York City-based architectural firm, expands the boundaries of traditional practice with work that ranges from buildings and urban design to computer-generated environments.
		Recognized internationally as both cutting-edge architects and virtual-reality artists, Asymptote partners Lise Anne Couture and Hani Rashid have designed and written the first book to document their 'real world' (as opposed to virtual) projects completed since 1995.
		Asymptote presents a seamless trajectory of projects organized in a non-linear fashion and illustrated with installation photographs, collaged photographs, and computer-generated diagrams and environments.
	www.archinect.com /books/detail.php?id=219_0_25_0_M24 (237 words)

	Horizontal Asymptotes
		Whereas vertical asymptotes are sacred ground, horizontal asymptotes are just useful suggestions.
		Whereas vertical asymptotes indicate very specific behavior (on the graph), usually close to the origin, horizontal asymptotes indicate general behavior far off to the sides of the graph.
		In this example, the degree on the numerator and denominator was the same, and the horizontal asymptote was the horizontal line found by dividing the leading coefficients of the two polynomials.
	www.purplemath.com /modules/asymtote2.htm (519 words)

	wer-weiss-was \| "Asymptote" \| aus Forum Mathematik und Physik
		Asymptote (M i c h a e l W e b e r, 22.2.2005 15:19)
		Wenn ich hier nun eine Polynomdivision durchführe verliere ich den überblick.
		Wir sind gerade in der Schule damit beschäftigt den verlauf von irgendwelchen Funktionen mithilfe von Nullstellen, Polstellen und Asymptote zumindest abzuschätzen..
	www.wer-weiss-was.de /theme50/article2746668.html (681 words)

	graphPr2
		b) both a horizontal asymptote and a slanted asymptote.
		crosses its horizontal asymptote, and if the graph has symmetry around the origin or the y-axis.
		crosses its horizontal asymptote or slanted asymptote (if there is one), and if the graph has symmetry around the origin or the y-axis.
	www.math.ucdavis.edu /~marx/graphPr2/graphPr2.html (558 words)

	Math Forum - Ask Dr. Math Archives: Asymptotes
		Find the domain, intercepts, asymptotes, critical points, points of inflection, and graph of the function: y = 3x^4-4x^3-12x^2.
		For the function (x-4)/x^2 there is a horizontal asymptote at y=0; however, at x=4 y=0 the graph of the function does intersect the line that is supposed to be the asymptote.
		The Math Forum is a research and educational enterprise of the Drexel School of Education.
	www.mathforum.org /library/drmath/sets/select/dm_asymptote.html (361 words)

	Asymptote homepage
		Asymptote is a leading specialist in controlled solidification research and product development, based in Cambridge, UK.
		Our expertise in freezing and crystallisation covers a wide variety of applications including cryopreservation, food and drink manufacture, freeze drying and scale control.
		This website is to provide information on Asymptote and its products and services.
	www.asymptote.co.uk (127 words)

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