an asymptotic curve is a curve always tangent to an asymptotic direction of the surface (where they exist). It is sometimes called an asymptotic line...

construed in a broad sense, forms a part of the subject of asymptotic analysis. The idea that a curve may come arbitrarily close to a line without actually...

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that...

articles related to curves used in mathematics. Acnode Algebraic curve Arc Asymptote Asymptotic curve Barbier's theorem Bézier curve Bézout's theorem Birch...

A receiver operating characteristic curve, or ROC curve, is a graphical plot that illustrates the performance of a binary classifier model (can be used...

Edmund Landau, and others, collectively called Bachmann–Landau notation or asymptotic notation. The letter O was chosen by Bachmann to stand for Ordnung, meaning...

between the witch and its asymptotic line is four times the area of the defining circle, and the volume of revolution of the curve around its defining line...

\right]\,.} where ! ! {\textstyle !!} denotes the double factorial. An asymptotic expansion of the cumulative distribution function for large x can also...

their properties, such as unbiasedness, mean square error, consistency, asymptotic distribution, etc. The construction and comparison of estimators are the...

factors. If (a, b, 0) is a point at infinity of the curve, one says that (a, b) is an asymptotic direction. Setting q = pd the equation of the corresponding...

extended. (in the manner of Schwarzschild folded geometry, or of an asymptotic curve.) The Way was thus opened. The Way's geometry also gave rise to the...

{\displaystyle t} , the curve x ( s , t ) , − ∞ < s < + ∞ {\displaystyle x(s,t),-\infty <s<+\infty } , is an asymptotic curve with s {\displaystyle s}...

fundamental form Gauss–Codazzi–Mainardi equations Dupin indicatrix Asymptotic curve Curvature Principal curvatures Mean curvature Gauss curvature Elliptic...

y ) {\displaystyle (x+\exp(-y),-y)} . The stable manifold is the x-axis, and the unstable manifold is the other asymptotic curve crossing the x-axis....

with different asymptotic behaviour are bounded by possibly one or two types of curves known as Stokes curves and Anti-Stokes Curves. This apparent paradox...

A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac...

parabolic line at the closure of the set of inflection points of the asymptotic curves of the surface. There are two types of cusp: elliptic cusp and hyperbolic...

called the term structure of interest rates. Yield curves are usually upward sloping asymptotically: the longer the maturity, the higher the yield, with...

such curves are rare. Indeed, Goldfeld and later Katz–Sarnak conjectured that in a suitable asymptotic sense (see below), the rank of elliptic curves should...

and statistics, kurtosis (from Greek: κυρτός, kyrtos or kurtos, meaning "curved, arching") refers to the degree of “tailedness” in the probability distribution...

in two directions, the normal curvatures will be zero giving the asymptotic curves for that point. If one of the principal curvatures is zero: κ1κ2 =...

hyperbolas that are asymptotic to the triangle's sides. [1] A deltoid was proposed as a solution to the Kakeya needle problem. Astroid, a curve with four cusps...

(t) is the time. The equation can also be written as the standard asymptotic curve (sometimes termed the independence model): E ( N l , t ) = 1 − e 2...

language) Asymptotic analysis, a method for describing limiting behaviour Asymptotic computational complexity, in theory of computation Asymptotic curve, a concept...

may lead to singularities in the curves; every singularity is asymptotic to a plane. However, spherical curves and curves which can be orthogonally projected...

important aspect in the study of elliptic curves is devising effective ways of counting points on the curve. There have been several approaches to do...

polynomial, x2 − x + 41, now appears as a single curve as x takes the values 0, 1, 2, ... This curve asymptotically approaches a horizontal line in the left half...

Retrieved 2008-02-23. The idea is that there's a quickly-flattening asymptotic curve to the number of expression tree nodes required to implement each new...

theorem that states that the number of asymptotic values attained by a non-constant entire function of order ρ on curves going outwards toward infinite absolute...

pseudospherical surface. Across every point on the surface there are two asymptotic curves. This allows us to construct a distinguished coordinate system for...