degree of curve

  • 51Hyperelliptic curve cryptography — is similar to elliptic curve cryptography (ECC) insomuch as the algebraic geometry construct of a hyperelliptic curve with an appropriate group law provides an Abelian group on which to do arithmetic. The use of hyperelliptic curves in… …

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  • 52Quartic plane curve — A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation::Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0.This equation has fifteen constants. However, it can be multiplied… …

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  • 53Forgetting curve — A typical representation of the forgetting curve. The forgetting curve hypothesizes the decline of memory retention in time. A related concept is the strength of memory that refers to the durability that memory traces in the brain. The stronger… …

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  • 54Lissajous curve — In mathematics, a Lissajous curve (Lissajous figure or Bowditch curve) is the graph of the system of parametric equations:x=Asin(at+delta),quad y=Bsin(bt),which describes complex harmonic motion. This family of curves was investigated by… …

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  • 55Watt's curve — In mathematics, Watt s curve is a plane algebraic curve of degree six. It is generated by two circles of radius r with centers a distance d apart. A line segment of length ℓ attaches to a point on each of the circles, and the midpoint of the line …

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  • 56Ampersand curve — In mathematics, the ampersand curve is a quartic plane curve given by the equation:: (y^2 x^2)(x 1)(2x 3)=4(x^2+y^2 2x)^2.It is an algebraic curve of genus zero, with three ordinary double points, all in the real plane. By the Plücker formulas,… …

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  • 57Topological degree theory — In mathematics, topological degree theory is a generalization of the winding number of a curve in the complex plane. It can be used to estimate the number of solutions of an equation, and is closely connected to fixed point theory. When one… …

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  • 58Sextic plane curve — A sextic plane curve is a plane curve of the sixth degree.Examples*Astroid *Atriphtaloid *Butterfly curve (algebraic) *Watt s curve …

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  • 59Lorenz curve — A graph which is used in the study of social stratification in order to show the extent to which the actual distribution of a particular good (usually income, earnings, or wealth) deviates from a condition of perfect equality. In the hypothetical …

    Dictionary of sociology

  • 60Singular point in a curve — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …

    The Collaborative International Dictionary of English