Butterfly curve

Butterfly curve

There are two plane curves called the butterfly curve, one algebraic and one transcendental:

*Butterfly curve (algebraic)
*Butterfly curve (transcendental)


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  • Butterfly curve (transcendental) — [ curve (click for larger image).] The butterfly curve is a transcendental plane curve discovered by Temple H. Fay. The curve is given by the parametric equations::x = sin(t) left(e^{cos(t)} 2cos(4t) sin^5left({t over 12} ight) ight):y = cos(t)… …   Wikipedia

  • Butterfly curve (algebraic) — In mathematics, the algebraic butterfly curve is a plane algebraic curve of degree six, given by the equation :x^6 + y^6 = x^2. The butterfly curve has a single singularity with delta invariant three, which means it is a curve of genus seven. The …   Wikipedia

  • Butterfly (disambiguation) — A butterfly is a flying insect.Butterfly or butterflies may also refer to:* Butterfly (dinghy), a popular one design single handed sailboat * Butterfly (options), a combination option trade strategy * Butterfly ballot, a type of a ballot that was …   Wikipedia

  • Butterfly (montagnes russes) — Éléments de montagnes russes Traduit de l anglais en:Roller coaster elements Les montagnes russes se composent de nombreux éléments. Ces éléments peuvent être purement techniques (frein, harnais...) ou avoir comme but d offrir des sensations aux… …   Wikipédia en Français

  • Butterfly shift — A non parallel shift in the yield curve involving the height of the curve. The New York Times Financial Glossary …   Financial and business terms

  • butterfly shift — A nonparallel shift in the yield curve involving the height of the curve. Bloomberg Financial Dictionary …   Financial and business terms

  • Sextic plane curve — A sextic plane curve is a plane curve of the sixth degree.Examples*Astroid *Atriphtaloid *Butterfly curve (algebraic) *Watt s curve …   Wikipedia

  • Negative Butterfly — A non parallel yield curve shift in which long and short term yields decrease by a greater degree than intermediate rates. This yield curve shift effectively humps the curve, adding to the curvature of the yield curve. For example, a negative… …   Investment dictionary

  • Positive Butterfly — A non parallel yield curve shift in which short and long term rates shift upward by a greater magnitude than medium term rates. This yield curve shift effectively humps the curve, adding to its curvature. A non parallel shift in the yield curve… …   Investment dictionary

  • Flattening of the yield curve — A change in the yield curve where the spread between the yield on a long term and short term Treasury has decreased. Compare steepening of the yield curve and butterfly shift. The New York Times Financial Glossary …   Financial and business terms

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