Aubrun and Szarek write for quantum information researchers who want to learn asymptotic
geometric analysis or to apply its tools; for mathematicians interested in learning quantum information theory or at least the part of it that is relevant to functional analysis, convex geometry, random matrix theory, and related areas; and for beginning researchers in either field.
RMSE, R2 and asymptotic
correlations were evaluated to compare the effectiveness of the models and coefficients.
is the asymptotic
standard error of equation (1) defined as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] being a consistent estimator of the asymptotic
variance of [?
To illustrate the importance and applications of the asymptotic
expansion approach, consider the following motivational example whose detailed discussions can be found in [17, 18].
Since the most common heat flux profiles reported in the literature are constant [7, 8], linear [8, 9], triangular [10,11], and parabolic  (see Figure 1), this paper is intended, on the one hand, to provide a sound proof for the asymptotic
formulas (1) and (3) and, on the other hand, to derive new asymptotic
formulas for the triangular and parabolic cases.
In a very recent study , using an asymptotic
expansion technique, the asymptotic
equations governing unidirectional wave propagation of small-butfinite amplitude long waves in the nonlinear nonlocal elastic medium were derived.
Key Word: Optimal Homotopy Asymptotic
Method, Korteweg- de Vries equation, Sawada Kotera equation
Using the Gaussian null hypothesis, we use the Durbin (1954)-Wu (1973)-Hausman (1978) technique of exploiting the difference between two consistent estimators to develop a hypothesis test statistic that can detect asymptotic
tail dependence in stock returns data.
However, it is different with  in hypotheses problem formulation and asymptotic
He details the asymptotic
behavior of the statistics and the asymptotic
properties of the tests.
A computationally tractable criterion for the global asymptotic
stability of discrete-time state-delayed systems employing saturation overflow arithmetic is established in Section 3.
The solution of this problem is expressed in terms of the Green's function and the asymptotic
representations of the solutions are considered.
The aim of the present work is to theoretically investigate the asymptotic
behavior, in both the long and short wavelength limits, of the Anderson localization length in 1D hetero-structures obtained by the stacking of non-dispersive RHM (A) and Drude-like dispersive LHM (B) layers.
Non-uniform fringe fields can be obtained by the subtraction of asymptotic
Thus I ended up taking plain and solid geometry and trigonometry in the one school year, in the latter half of which we dealt with asymptotic
curves and the asymptotic