Asymptote

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Asymptote

In geometry, a line associated with a curve in such a way that the distance between the line and the curve approaches zero as both reach toward infinity. Asymptotes are used in calculus and are computed using limits.
References in periodicals archive ?
Marinca: An ptimal Homotopy Asymptotic Method applied to the steady flow of a fourth grade fluid past a porous plate: Appl.
The power issue arises because the variation in the nonparametric CoVaR and MES estimators increases as the asymptotic tail dependence in stock returns strengthens.
[14], who have studied the problem of diffraction by 2D slender bodies, it was assumed that besides the usual asymptotic parameter k[rho], the geometrical characteristics of the body form another large parameter [LAMBDA] = [rho]/[[rho].sub.t], with which the asymptotic parameter may compete.
Remark 1: The GLR test statistic only uses the asymptotic covariance matrix under [H.sub.0], [[SIGMA].sub.mul,0], and it is unrelated to the asymptotic covariance matrix under [H.sub.1], [[summation].sub.mul,1].
According to [11], the curve a on the surface S is asymptotic if and only if the binormal B(s) of the curve a and the normal [eta](s, [t.sub.0]) of the surface S at any point on the curve a are parallel to each other.
However, the exact analysis is too complicated to render an insight on the impact of CCI and the correlation coefficient [rho]; the asymptotic outage probability is investigated at high SNR regime.
Using this, we show the asymptotic property of [[lambda].sub.opt] in following theorem.
We are constructing an asymptotic solution U(t,x; [epsilon]), V(t, x; [epsilon]) uniformly valid in the indicated interval: [mathematical expression not reproducible] such, that for all [epsilon] [member of] (0, [[epsilon].sub.[mu]]] is true next estimation
From a theoretical point of view, the problem of the derivation of an asymptotic expansion of F(x) is solved.
Marinca, "Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method," Computers & Mathematics with Applications, vol.
Marinca, "An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate," Applied Mathematics Letters, vol.
(1) A unified saturated output feedback (USOF) controller is developed for asymptotic stabilization of spacecraft.