Additionally, \({{{\boldsymbol{\varepsilon }}}\left({{{\boldsymbol{\omega }}}{{{\boldsymbol{,}}}{{{\bf{k}}}\right)\) is the dielectric tensor, and \({{{\bf{D}}}\left({{{\boldsymbol{\omega }}}{{{\boldsymbol{,}}}{{{\bf{k}}}\right)\) is the coefficient matrix, ...
We study under which conditions the pseudo-differential operator with the symbol gives rise to a Feller semigroup if the symbol of the perturbation B depends merely measurably on x. If the symbol—or, equivalently, the characteristics—of a Lévy-type operator satisfies suitable smoothness ...
Then \(\varSigma ^*\) denotes the set of strings over the alphabet \(\varSigma \) including the empty string \(\varepsilon \). The length of a string w is denoted by |w|, and the number of occurrences of a symbol a in a string w by \(|w|_a\). A language is any subset...
On the other hand, knowing the value of(and that it is attained for), we can define a further notion of optimal-constantA, “relative” to. More precisely we define For the sake of generality we will actually consideralso in the so-calledsubcritical case, meaning that we enlarge the class...
Finally, to determine the strength of the results, the magnitude of the effect was evaluated by epsilon-squared (ε2), as it is considered a less biased effect size estimator compared to others [27]. The outcomes for each group are represented as median, interquartile range and the minimum...