# asymptote

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Related to asymptotic: Asymptotic curve

## asymptote

a straight line that is closely approached by a plane curve so that the perpendicular distance between them decreases to zero as the distance from the origin increases to infinity
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## asymptote

[′as·əm‚tōt]
(mathematics)
A line approached by a curve in the limit as the curve approaches infinity.
The limit of the tangents to a curve as the point of contact approaches infinity.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Basic mathematical theory of Optimal Homotopy Asymptotic Method OHAM is used to the following equation:
To better understand our hypothesis test results, we perform simulations to evaluate the performance of our hypothesis tests for nested alternative return distributions, some with asymptotic tail dependence, and others that are asymptotically tail independent.
The next step in the asymptotic procedure is to choose the scales of the coordinates.
In section 5, asymptotic distribution and computational complexity of the proposed test statistic are given.
The goal of the study is to construct the parametric representation of surface from a given pseudo null curve and derive the necessary and sufficient conditions for the given pseudo null curve to be an isoparametric and asymptotic on the parametric surface.
(iii) Based on the asymptotic analysis of the outage probability, we propose a power allocation scheme to improve the system's performance and the proposed scheme can lead to SNR performance gains of more than 1dB compared to the equal power allocation scheme.
This direct method is given theoretical justification by asymptotic theory of the penalized spline estimator.
In this paper, we construct an asymptotic approximation uniformly valid in the long time interval t ~ [[epsilon].sup.-1] and determine the appearance conditions of the resonant wave interactions.
In order to derive the asymptotic expansion of F(x) for large x, it is convenient to rewrite F(x) in the form
Herisanu, "Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer," International Communications in Heat and Mass Transfer, vol.
According to the optimal homotopy asymptotic method [718], the following is the extended formulation for system of boundary value problems:
Recently, Su and Zheng [16] present a unified saturated PD control framework to achieve asymptotic stabilization.

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