L. A. Vasiliev, I. V. Ershov, E. V. Sokolenko, V. I. Ianichkin. Interferometer with diffraction grating used for studying the flow past models in a shock tube . . . 1245
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Submitted 1967-01-01 | RussiaRxiv: ru-196701.85872 | Translated from Russian

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PHYSICS

L. A. Vasiliev, I. V. Ershov, E. V. Sokolenko, V. I. Ianichkin. Interferometer with diffraction grating used for studying the flow past models in a shock tube . . . 1245

B. M. Moiseev, L. I. Fedorov. Complex splitting of nuclear magnetic resonance spectrum of a two-spin system . . . 1249

K. P. Staniukovich. Radiation by elementary particles . . . 1252

G. V. Sholin. Anomalous energy dependence of the polarisation of the radiation of atoms excited by an electron beam . . . 1256

TECHNICAL PHYSICS

A. I. Beliaev, A. I. Iukova. The influence of the third component on the behaviour of impurities in zone-melting of aluminium . . . 1259

Iu. A. Skakov. The nature of disintegration products and the liberation mechanism in the ageing of tempered commercial iron . . . 1263

N. E. Filonenko, V. I. Ivanov, L. I. Feldgun, M. I. Sokhor, L. F. Vereshchagin. Magnesium borides produced under superhigh pressure . . . 1266

V. V. Shevelia, B. I. Kostetskii. The influence of surface-active media on the formation of dislocation structure in the case of fatigue of metals . . . 1270

GEOPHYSICS

E. N. Mikhailova, A. I. Felsenbaum, N. B. Shapiro. On the calculation of ice-field drifts and currents in the Arctic basin . . . 1273

CRYSTALLOGRAPHY

L. D. Kislovskii. Metastable structures in aqueous solutions . . . 1277

ERRATUM

In my article (D. L. Berman, “On the Theory of Interpolation”), published in DAN, vol. 163, no. 3, 1965, the following corrections must be made.

Theorem 1 should be formulated as follows:

The Lagrange interpolation process, constructed for functions from the Dini–Lipschitz class at the nodes (2), converges uniformly on \([-1, 1]\).

Inequality (4) on p. 552 is incorrect.

In Theorem 3, the equality \(\lim_{n\to\infty} H_n(f, 0)=\infty\) should be replaced by the inequality

\[ \overline{\lim}_{n\to\infty} H_n(f,0) > \frac{1}{2}. \]

Equality (6) on p. 553 should have the form

\[ \sum_{j=1}^{2n} \frac{1}{\sin^4 \varphi_j/2} = \frac{16}{3}n^4 + \frac{8}{3}n^2 . \]

D. L. Berman

Submitted for typesetting 3/VI-1967. T. 11033. Signed for printing 31/VII-1967. Print run 1385 copies. Order 2843. Paper format \(70\times108^{1}/_{16}\). Standard printed sheets \(19.95+4\) inserts. Paper sheets \(7^{1}/_{8}\). Publisher’s sheets 21.3.

2nd printing house of the “Nauka” Publishing House. Moscow, Shubinskii Lane, 10.

Submission history

L. A. Vasiliev, I. V. Ershov, E. V. Sokolenko, V. I. Ianichkin. Interferometer with diffraction grating used for studying the flow past models in a shock tube . . . 1245