For the regular limit case, i.e., a rectangular case, the distribution is the exponential distribution with the freedom of unity, while in the chaotic case, i.e., the stadium case, it is the Wigner distribution with a degree of freedom of two.
It seemed to me that people were accepting my stories in toto — stories that are chaotic in many cases, missing logicality at times, and in which the composition of reality has been rearranged.
In both cases, chaotic phenomena were observed.
However, in most cases, chaotic behaviors they observed were obtained only by numerical simulations and have not been proved rigorously.
However, their behavior has been shown to be chaotic in some cases; posing difficulties to their modeling and quantizer design.
In all other cases, chaotic opiate users are initially cared for in a specialist addiction clinic and their care then transferred to general practice when stable.
A special grand jury in Manhattan has declined to indict a man at the center of a chaotic police-shooting case in Harlem last summer in which police officers who were breaking up a block party ended up firing 46 bullets, several of them striking the man.
A day after the announcement that a special grand jury had declined to indict him, a man at the center of a chaotic police-shooting case in Harlem recalled being struck by a barrage of gunfire last August as officers broke up a block party.
For instance (Smith 1998, pp. 181 2), (Chaos\(_{te})\) A discrete map is chaotic just in case it exhibits topological entropy: Let \(f\) be a discrete map and \(\{W_{i}\}\) be a partition of a bounded region \(W\) containing a probability measure which is invariant under \(f\).
In the Finnish case, chaotic conditions, particularly at the start of the war, provided an additional reason to recruit child soldiers; military leaders took whoever they could get their hands on.
