In this article we study the

asymptotic behavior of symmetric functions as the number of variables tends to infinity.

In a very recent study [9], 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.

Besides

asymptotic group theory and graph theory, the tools of the proposed research come from probability theory, ergodic theory and statistical mechanics.

He details the

asymptotic behavior of the statistics and the

asymptotic properties of the tests.

And even if you were the only one, according to the

Asymptotic Principle, you would still make a difference.

1]} along striction curves of timelike ruled surface M are called

asymptotic plane, polar plane and central plane, respectively.

2011), and both report the

asymptotic length to be less than 130 mm in each species based on using the von Bertalanffy model to estimated growth parameters.

But, such a continuous sliding-mode controller cannot achieve

asymptotic stabilization since a steady state error is present.

the fitting of certain curves that can be reduced to straight lines by transformation of the Y or X variable, fitting a polynomial curve in X which is often a good approximation to a more complex curve, and the

asymptotic curve and logistic curve which require more complex procedures.

In a recent paper, Lo (2002) derives the explicit expressions for the statistical distribution of the Sharpe ratio using the standard

asymptotic theory under several sets of assumptions for the return-generating process.

This gives a Poincare-type

asymptotic expansion, which is usually divergent for fixed values of z.

However in the Earth frame of reference there should be no change in the

asymptotic speeds after an earth flyby, assuming the validity of Newtonian gravity, at least in these circumstances.

To prove stability estimates and

asymptotic stability for a 2 x 2 system we use the integral representations of the fundamental matrix via

asymptotic solutions, the error estimates, and the time scales calculus.

0 cm from the mid-plane shows an

asymptotic energy of 1.

For each of the 15 statements in the questionnaire, an

asymptotic Kruskal-Wallis H-test was conducted to determine if the differences among the groups could be considered statistically significant or might be attributed to chance variation.