Corrections

In the article by N. I. Ershov and Ya. T. Eidus, “Experimental substantiation of the chain mechanism of the heterogeneous-catalytic hydropolymerization reaction of olefins occurring under the influence of carbon monoxide and hydrogen,” published in DAN, vol. 115, no. 6, 1957, on p. 1127, in Table 1, instead of “Yield per initiator, %,” one should read: “Yield per initiator.”

In the article by Z. A. Vinogradova, “Biochemical composition of the plankton of the Black Sea,” published in DAN, vol. 116, no. 4, 1957, on p. 689, the phrase in lines 11–24 should read:

The salinity in these regions was 3–4‰ higher than in the following year, 1955, and by the same amount higher than the mean long-term salinity, which promoted the development of typically Black Sea forms of zooplankton and, conversely, created unfavorable conditions for the development of brackish-water and heat-loving forms of plankton, which in ordinary years produce in this part of the sea and at this time of year a strong burst of development.

In the article by A. S. Kel’zon, “Self-guidance as a problem of technical cybernetics,” published in DAN, vol. 116, no. 6, 1957, on p. 934, line 23 from the bottom, where it is printed \(\psi = \pi/2\), one should read \(\psi = -\pi/2\); on p. 934, line 5 from the bottom, where it is printed: changes, one should read: is measured.

In the article by A. Vinogradov, B. Delone, and D. Fuks, “On rational approximations to irrational numbers with bounded partial quotients,” published in DAN, vol. 118, no. 5, 1958, the end of p. 864 and the beginning of p. 865 should read:

From this proof the following consequences are obtained:

I. If \(\theta\) belongs to \(\{L\}\), which rests on \(\{M\}\), with series (1) attainable at \(\alpha_0\), then the expansion of \(\theta\) into a continued fraction has the form

\[ \theta = a_0,\ a_1a_2 \ldots a_k\widetilde{\alpha}_0\{a\}\overline{\alpha_{-1}\alpha_0\alpha_1}\{a\}\overline{\alpha_{-2}\alpha_{-1}\alpha_0\alpha_1\alpha_2}\{a\}\ldots, \]

where \(a_0, a_1, \ldots, a_k\) are arbitrary; \(\alpha_1\), \(\overline{\alpha_{-1}\alpha_0\alpha_1}\), \(\overline{\alpha_{-2}\alpha_{-1}\alpha_0\alpha_1\alpha_2}\ldots\) are ever longer segments of series (1), symmetric with respect to \(\alpha_0\), and \(\{a\}\) are finite “insertions,” which may be chosen arbitrarily. In view of the arbitrariness of these insertions, on one and the same attainable class \(\{M\}\) there rests, generally speaking, a continuum of classes \(\{L\}\). Moreover, every time
\(\lambda_L = \lambda_M\).

T-05972 Signed for printing 24 V 1958. Print run 5400 copies. Order 274
Paper format \(70 \times 108^{1}/_{16}\). Paper sheets \(6^{3}/_{4}\). Printed sheets \(18.5 + 3\) inserts. Publisher’s sheets 18.7

2nd Printing House of the Publishing House of the Academy of Sciences of the USSR. Moscow, Shubinskii Lane, 10.