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<tr><td align="left">Acknowledgements (p. 877):<br /><font color="darkgreen">"I am grateful to Dr. M. Clement whose careful scrutiny of the analysis helped the elimination of a number of oversights and obscurities; he also generously programmed for machine calculations<sup>1</sup>, the characteristic equation (both in its finite and asymptotic forms) for the determination of its roots.  I am equally grateful to Dr. N. R. Lebovitz for many clarifying discussions and particularly for his examination of Riemann's criterion for determining the stability of his figures and demonstration of the place where he erred.  I am also indebted to Miss Donna Elbert for her continued patience in assisting with these investigations; in this particular instance it was most essential."<br />

"The research reported in this paper has in part been supported by the Office of Naval Research under contract Nonr-2121(24) with the University of Chicago."

<sup>1</sup>The machine calculations were performed with an IBM 1620 computer at the Yerkes Observatory.</font>
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