Starting from flare models of Karličky (Solar Phys. 130, 1990, 347), we present the timedependent numerical simulations of hydrogen plasma excitation and ionization on subsecond time scales. These scales are consistent with the spiky behaviour of the kinetic temperature produced by non-thermal electron beam pulses of very short duration. Self-consistent numerical solution of
time-dependent, NLTE problem for a three-level plus continuum hydrogen atom allows us to predict theoretically the behaviour of
the Hα line intensity variations on subsecond time intervals. We present the Hα temporal profiles, evaluated at the line center and in the wing, which can be qualitatively compared with some recent flare observations obtained with very high (0.1 sec) temporal resolution. and Full version of this contribution was published in Solar Phys. 135 (1991), 65.
Hagler and the first named author introduced a class of hereditarily $l_1$ Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily $l_p$ Banach spaces for $1\leq p<\infty $. Here we use these spaces to introduce a new class of hereditarily $l_p(c_0)$ Banach spaces analogous of the space of Popov. In particular, for $p=1$ the spaces are further examples of hereditarily $l_1$ Banach spaces failing the Schur property.
In [5] and [10], statistical-conservative and $\sigma $-conservative matrices were characterized. In this note we have determined a class of statistical and $\sigma $-conservative matrices studying some inequalities which are analogous to Knopp’s Core Theorem.
In this paper, we study the limit properties of countable nonhomogeneous Markov chains in the generalized gambling system by means of constructing compatible distributions and martingales. By allowing random selection functions to take values in arbitrary intervals, the concept of random selection is generalized. As corollaries, some strong limit theorems and the asymptotic equipartition property (AEP) theorems for countable nonhomogeneous Markov chains in the generalized gambling system are established. Some results obtained are extended.
The empirical moment process is utilized to construct a family of tests for the null hypothesis that a random variable is exponentially distributed. The tests are consistent against the 'new better than used in expectation' (NBUE) class of alternatives. Consistency is shown and the limit null distribution of the test statistic is derived, while efficiency results are also provided. The finite-sample properties of the proposed procedure in comparison to more standard procedures are investigated via simulation.
This paper obtains a class of tight framelet packets on $L^2(\mathbb R^d)$ from the extension principles and constructs the relationships between the basic framelet packets and the associated filters.
Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket $R$-module is $R$ tensor a bracket group.
A graph is called weakly perfect if its chromatic number equals its clique number. In this note a new class of weakly perfect graphs is presented and an explicit formula for the chromatic number of such graphs is given.
The aim of this paper is to rank the words of the Chinese language of the III-V centuries in a number of classes that differ in their grammatical characteristics. The classification undertaken is based on syntactic criteria.