Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Asymptote> ?p ?o }
- Asymptote abstract "In analytic geometry, an asymptote (/ˈæsɪmptoʊt/) of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity.The word asymptote is derived from the Greek ἀσύμπτωτος (asumptōtos) which means "not falling together", from ἀ priv. + σύν "together" + πτωτ-ός "fallen". The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve.There are potentially three kinds of asymptotes: horizontal, vertical and oblique asymptotes. For curves given by the graph of a function y = ƒ(x), horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound.More generally, one curve is a curvilinear asymptote of another (as opposed to a linear asymptote) if the distance between the two curves tends to zero as they tend to infinity, although the term asymptote by itself is usually reserved for linear asymptotes.Asymptotes convey information about the behavior of curves in the large, and determining the asymptotes of a function is an important step in sketching its graph. The study of asymptotes of functions, construed in a broad sense, forms a part of the subject of asymptotic analysis.".
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- Asymptote wikiPageWikiLink Asymptotic_analysis.
- Asymptote wikiPageWikiLink Asymptotic_curve.
- Asymptote wikiPageWikiLink Big_O_notation.
- Asymptote wikiPageWikiLink Bxc3xa9zouts_theorem.
- Asymptote wikiPageWikiLink Calculus.
- Asymptote wikiPageWikiLink Category:Analytic_geometry.
- Asymptote wikiPageWikiLink Category:Mathematical_analysis.
- Asymptote wikiPageWikiLink Cone.
- Asymptote wikiPageWikiLink Conic.
- Asymptote wikiPageWikiLink Conic_section.
- Asymptote wikiPageWikiLink Conic_sections.
- Asymptote wikiPageWikiLink Continuous_function.
- Asymptote wikiPageWikiLink Curve.
- Asymptote wikiPageWikiLink Curve_sketching.
- Asymptote wikiPageWikiLink Degree_of_a_polynomial.
- Asymptote wikiPageWikiLink Euclidean_division_of_polynomials.
- Asymptote wikiPageWikiLink Field_(mathematics).
- Asymptote wikiPageWikiLink Graph_of_a_function.
- Asymptote wikiPageWikiLink Greek_language.
- Asymptote wikiPageWikiLink Homogeneous_polynomial.
- Asymptote wikiPageWikiLink Homothetic_transformation.
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- Asymptote wikiPageWikiLink Limit_(mathematics).
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- Asymptote wikiPageWikiLink Parabola.
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- Asymptote wikiPageWikiLink Polynomial_greatest_common_divisor.
- Asymptote wikiPageWikiLink Polynomial_long_division.
- Asymptote wikiPageWikiLink Privative_a.
- Asymptote wikiPageWikiLink Privative_alpha.
- Asymptote wikiPageWikiLink Rational_function.
- Asymptote wikiPageWikiLink Real-valued_function.
- Asymptote wikiPageWikiLink Real_function.
- Asymptote wikiPageWikiLink Science_Museum,_London.
- Asymptote wikiPageWikiLink Science_Museum_(London).
- Asymptote wikiPageWikiLink Tangent.
- Asymptote wikiPageWikiLink Unit_hyperbola.
- Asymptote wikiPageWikiLink Vertical_line_test.
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- Asymptote wikiPageWikiLinkText "Asymptote".
- Asymptote wikiPageWikiLinkText "Asymptote#Horizontal_asymptotes".
- Asymptote wikiPageWikiLinkText "Asymptote#Oblique asymptotes".
- Asymptote wikiPageWikiLinkText "Asymptote#Oblique_asymptotes".
- Asymptote wikiPageWikiLinkText "Asymptote#Vertical asymptotes".
- Asymptote wikiPageWikiLinkText "approaches but never quite reaches".
- Asymptote wikiPageWikiLinkText "asymptopic limit".
- Asymptote wikiPageWikiLinkText "asymptote".
- Asymptote wikiPageWikiLinkText "asymptotic value".
- Asymptote wikiPageWikiLinkText "asymptotic".
- Asymptote wikiPageWikiLinkText "asymptotically approaches".
- Asymptote wikiPageWikiLinkText "asymptotically".
- Asymptote wikiPageWikiLinkText "asymptotics".
- Asymptote wikiPageWikiLinkText "asymptoting".
- Asymptote wikiPageWikiLinkText "vertical asymptote".
- Asymptote first "L.P.".
- Asymptote hasPhotoCollection Asymptote.
- Asymptote id "6100".
- Asymptote id "A/a013610".
- Asymptote last "Kuptsov".
- Asymptote title "Asymptote".
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- Asymptote subject Category:Analytic_geometry.
- Asymptote subject Category:Mathematical_analysis.
- Asymptote hypernym Line.
- Asymptote type Field.
- Asymptote type Thing.
- Asymptote comment "In analytic geometry, an asymptote (/ˈæsɪmptoʊt/) of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors.".