In this article we study the asymptotic
behavior of symmetric functions as the number of variables tends to infinity.
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.
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.