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Beyond orderly generation

Another variation of orderly generation is also worth mentioning McKay s enumeration by canonical construction path [192] restricts extensions to those structures where the new edges are taken from a certain orbit of the automorphism group. [Pg.180]

Speed plays an important role in structure enumeration, but only few theoretical results about the computational complexity are known. Goldberg s work [91] proves that the results in orderly enumeration can be computed with polynomial delay, and a paper of Luks [188] shows that isomorphism testing of molecular graphs can be done in polynomial time. [Pg.180]


Detained Darnings. After the equity earnings are subtracted from the net after-tax earnings, the balance is called the retained earnings and represents an iacrease ia equity. The retained earnings can be visualized theoretically as the new cash generated beyond that needed to provide for a return to iavestors and an orderly retirement of the investment. [Pg.447]

The mass dependence of the correction of order a Za) beyond the reduced mass factor is properly described by the expression in (3.7) as was proved in [11, 12]. In the same way as for the case of the leading relativistic correction in (3.4), the result in (3.7) is exact in the small mass ratio m/M, since in the framework of the effective Dirac equation all corrections of order Za) are generated by the kernels with one-photon exchange. In some earlier papers the reduced mass factors in (3.7) were expanded up to first order in the small mass ratio m/M. Nowadays it is important to preserve an exact mass dependence in (3.7) because current experiments may be able to detect quadratic mass corrections (about 2 kHz for the IS level in hydrogen) to the leading nonrecoil Lamb shift contribution. [Pg.24]


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Beyond

Orderly generation

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