analysis of expressions (1), (2) is important because of the various applications in representation theory, statistical mechanics and probability, including:
2], various asymptotic
equations describing unidirectional wave propagation of small-but-finite amplitude long waves have been derived.
Similarly, from the definitions of the asymptotic
curve and the geodesic curve and from the equation S* = S we say the asymptotic
curve and geodesic curve in M is the asymptotic
curve and geodesic curve in M*, too.
In this field study, it was found that the asymptotic
length is significantly less than 130 mm, and therefore this size limit seems to be inadequate in this fishing zone.
In other words, sliding PID controller provide asymptotic
stabilization of rigid body attitude completely rejecting external disturbances.
or logistic regressions are best fitted using statistical software employing non-linear estimation methods.
the central limit theorem shows that the asymptotic
distribution of M is given by:
The purpose of this paper is to analyze some features of this modification, namely the convergence properties of the modified asymptotic
series and some techniques that can be used to compute the confluent hypergeometric functions involved in the approximation.
infinity]] after determining the osculating hyperbolic trajectory, as discussed in , as well as the right ascension and declination of the asymptotic
SC velocity vectors [V.
In this paper we study asymptotic
stability of a system of linear dynamic equations on a time scale [T.
Among more modern adaptations are found an expressionist sketch of Joan by Bertold Brecht (1922) and the asymptotic
story of Isaac Bashevis Singer, Yentl (1962).
It is found that the Johansen tests with small samples are biased toward rejecting the null hypotheses more often than what asymptotic
theory suggests, even after the test statistics are adjusted by Sims's correction.