Plane curves

Kappa curve

In geometry, the kappa curve or Gutschoven's curve is a two-dimensional algebraic curve resembling the Greek letter ϰ (kappa). The kappa curve was first studied by around 1662. In the history of mathematics, it is remembered as one of the first examples of Isaac Barrow's application of rudimentary calculus methods to determine the tangent of a curve. Isaac Newton and Johann Bernoulli continued the studies of this curve subsequently. Using the Cartesian coordinate system it can be expressed as or, using parametric equations, In polar coordinates its equation is even simpler: It has two vertical asymptotes at x = ±a, shown as dashed blue lines in the figure at right. The kappa curve's curvature: Tangential angle: (Wikipedia).

Kappa curve
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Etale Theta - part 3 - Interior/Cuspidal Cyclotome and the cover Xu

Here is what we do: *explain the cyclotome appearing in the two step nilpotent quotient of Delta. This cyclotome is used for coefficients for the Kummer class of the Jacobi Theta function. *We construct covers Xu of a punctured elliptic curve which depends on a choice of l-torsion subgrou

From playlist Etale Theta

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From playlist Summer of Math Exposition Youtube Videos

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From playlist Etale Theta

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From playlist Mathematics 1A (Calculus)

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From playlist Quick Machine Learning Concepts

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From playlist Calculus

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From playlist The Riemann Zeta Function

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From playlist Calculus

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From playlist Topics In Birational Geometry

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From playlist Mathematics

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From playlist CALCULUS 3 CH 3 VECTOR CALCULUS

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From playlist Mathematics

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From playlist Mathematics

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Yilin Wang - 1/4 The Loewner Energy at the Crossroad of Random Conformal Geometry (...)

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From playlist Topics In Birational Geometry

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From playlist Mathematics

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From playlist Spring 2018

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From playlist The Riemann Zeta Function

Related pages

Johann Bernoulli | Infinitesimal | Algebraic curve | Isaac Newton | Cartesian coordinate system | Curvature | Geometry | Parametric equation | Asymptote | Tangent