This article is about the mathematical concept. For the design feature, see Serpentine shape.
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A serpentine curve is a curve whose equation is of the form
Equivalently, it has a parametric representation
,
or functional representation
The curve has an inflection point at the origin. It has local extrema at , with a maximum value of and a minimum value of .
A serpentinecurve is a curve whose equation is of the form x 2 y + a 2 y − a b x = 0 , a b > 0. {\displaystyle x^{2}y+a^{2}y-abx=0,\quad ab>0.} Equivalently...
A serpentine shape is any of certain curved shapes of an object or design, which are suggestive of the shape of a snake (the adjective "serpentine" is...
plane curves include Cubic parabola Folium of Descartes Cissoid of Diocles Conchoid of de Sluze Right strophoid Semicubical parabola Serpentinecurve Trident...
Serpentine or serpentine in Wiktionary, the free dictionary. Serpentine may refer to: Serpentine shape, a shape resembling a serpent Serpentinecurve...
is the common tangent. Also called a serpentinecurve, it is the reverse of a compound curve, and two simple curves bent in opposite directions are on opposite...
A chicane (/ʃɪˈkeɪn/) is a serpentinecurve in a road, added by design rather than dictated by geography. Chicanes add extra turns and are used both in...
The Serpentine (also known as the Serpentine River) is a 40-acre (16 ha) recreational lake in Hyde Park, London, England, created in 1730 at the behest...
sinusoidal, serpentine, ribbon or wavy wall, is an unusual type of structural or garden wall built in a serpentine shape with alternating curves, originally...
Serpentine subgroup (part of the kaolinite-serpentine group in the category of phyllosilicates) are greenish, brownish, or spotted minerals commonly found...
reverse curve which comprises two or more simple curves that has the opposite direction of curvature (sometime known as "S" curve or serpentinecurve). In...
or curve—often seen in architecture and building trades—that has a serpentine- or extended S-shape (sigmoid).: 218 Ogees consist of a "double curve",...
and a theory in art or aesthetics used to describe an S-shaped curved line (a serpentine line) appearing within an object, as the boundary line of an object...
held a burning slow match in a clamp at the end of a small curved lever known as the serpentine. Upon the pull of a lever (or in later models a trigger)...
ideas of beauty was the theory of the Line of Beauty; an S-shaped (serpentine) curved line that excited the attention of the viewer and evoked liveliness...
The interior takes the form of a four-bay apsidal basilica, with a serpentine-curve gallery over the entrance. The gallery has pierced decorative wooden...
the northern toll booth at Ferleiten (near Fusch) with numbered hairpin curves up to Hochtor Pass, with a 1.5 km (0.93 mi) branch-off from Fuscher Törl...
as any Riemann surface that is conformally equivalent to this algebraic curve, and especially the one that is a quotient of the hyperbolic plane H2 by...
proportion in other countries. It is a soft, fibrous silicate mineral in the serpentine subgroup of phyllosilicates; as such, it is distinct from other asbestiform...
The serpentine plasma actuator represents a broad class of plasma actuator. The actuators vary from the standard type in that their electrode geometry...
'meagre genius of the bare and bald', criticizing Brown's smooth, serpentinecurves as bland and unnatural and championing rugged and intricate designs...
enclosed body water slide over three stories tall featuring twists and serpentinecurves, relocated from the former Manteca Waterslides. Screamin' Wombat ProSlide...
Schöllenen ravine and the Tremola, had countless hairpin turns and serpentinecurves, dropping 1,000 m (3,300 ft) in altitude. It posed a huge challenge...
this type of papers. In 2011, Koblitz published "Elliptic curve cryptography: The serpentine course of a paradigm shift" with Ann Hibner Koblitz and Alfred...
phyllosilicate serpentine subgroup with the ideal chemical formula of (Mg,Fe2+)3Si2O5(OH)4. It is the high-pressure polymorph of serpentine and is commonly...
lirelliform apothecia, which are elongated and can be straight, curved, or even serpentine (curved and twisting), usually surrounded by a pale orange-pink margin...
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