Abstract
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CORRECTIONS
In the article by N. I. Ershov and Ya. T. Eidus, “Experimental substantiation of the chain mechanism of the heterogeneous-catalytic reaction of olefin hydropolymerization proceeding 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, “The biochemical composition of 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 average long-term salinity; this favored the development of typically Black Sea forms of zooplankton and, conversely, created unfavorable conditions for the development of brackish-water and thermophilic forms of plankton, which in ordinary years produce a strong burst of development in this part of the sea and at this time of year.
In the article by A. S. Kelzon, “Homing 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 incomplete quotients,” published in DAN, vol. 118, no. 5, 1958, the end of p. 864 and the beginning of p. 865 should read:
From this indicator the following consequences are obtained:
I. If (\theta) belongs to ({L}), which rests on ({M}), with row (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\,
\overbrace{\alpha_0}{a}\,
\overbrace{\alpha_{-1}\alpha_0\alpha_1}{a}\,
\overbrace{\alpha_{-2}\alpha_{-1}\alpha_0\alpha_1\alpha_2}{a}\,\ldots,
]
where (a_0, a_1, \ldots, a_k) are arbitrary, and (\alpha_1), (\alpha_{-1}\alpha_0\alpha_1), (\alpha_{-2}\alpha_{-1}\alpha_0\alpha_1\alpha_2 \ldots) are ever longer segments of row (1), symmetric with respect to (\alpha_0), while ({a}) are finite “insertions,” which may be chosen arbitrarily. Owing to the arbitrariness of these insertions, one and the same attainable class ({M}), generally speaking, is supported by a continuum of classes ({L}). In this case every time (\lambda_L = \lambda_M).
T-05972. Signed for printing 24 V 1958. Print run 5400 copies. Order 274.
Paper size (70 \times 108^{1}/{16}). Paper sheets (6^{3}/). 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, Shubinsky Lane, 10.