SCIENTIFIC ABSTRACT SMIRNOV. V.I. - SMIRNOV, V.I.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001651610011-9
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: August 24, 2000
• Sequence Number: 11
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SHMUL'YAN, Yu.L.; SMIRNOV, V.I., akademik.
Holomorphic bounded matrix-functions with a determinant, identically equal
zero. DALAIT SSSR 93 no.4:625-627 D '53. (MIU 6.11)
1. Akademlya nauk SSSR (for Smirnov). 2. Zhitomirskiv gooudarstvennyy
pedagoglobeskiy institut im. Iv.Franko (for Shmullyan).
(Spaces, Generalized) (Matrices)

SMIRN,OV, V.I.; KUYABKO, Ye.S.; LONIK, Yu.S.; ZLYGHIK, N.K., redaktor;
R.A., tekhnichaskiy redaktor.
[Mikhail Sofronov, Russian mathematician of the middle of the
18th century] Mikhail Sofronov, ruaskii matematik serediny XVIII
veka. Moskva, Izd-vo Akademii mauk SSSR, 1954. 51 P. (INT-RA 7:11)
(Sofronov, Mikhail, 1?29-176o)

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77

LYAPUNOV, A.M.; SRETENSKIY, L.N., otvatstvannyy redaktor; KOLMOGOROV, A.M.,
akademik; SMIRNOV, V.I., akademik; SUBBOTIN. M.Y.: ISHLINSKIY,.A.Yu.;
MIGIRINKO,' k didat fizicheigirikh-matematichaskikh nauk; P2TKF-
VICH, V.V., kandidat fizicheskikh-matematichookikh nail ; GMYOGIMOV,
A.Y., redaktor; ALENEYEVA, T.T., tekhnicheskiy redaktor.
[Collected works] Sobranie sochinenii. MoBkva, Izd-vo Akademii nauk
SSSR. Vol. 1. 1954. 446 p. (ML3& 7:11)
1
~. Chlen-korrespondent Akademii nauk SSSR (for Sretensk' 'y and Subbo-
tin) 2. Deystvitellnyy chlen Akademii nauk SSSR (for Izhlinskiy)
(Liapunov, Aleksandr Mikhailovich, 1857-1918) (Mathematics)

MTRHnVwNMIFM akademik; AKILDV. G.P.. redaktor; VOLCHOX, K.M.. takhnicho-
- 'akiy redaktor
[A course in higher mathematical Kure vyaahei matematiki. Izd- 13-0
stereot1pnos. Moskva, Goa. izd-vo tekhaiko-teoret. lit-z7. Vol.2.
1954. 627 P. (MLHA 8 %4)
(Mathematics)

SMIRNOV, V.I., akademik; AKILOV, G.P., redaktor; VOLCHOK, K.M.,
1~z~--fft?ffifcheskly redaktor.
[Course in higher mathematics] Kure vysehei matematiki, Izd. 0'.
Moskva, Goa. izd-vo tekhniko-teoret. lit-ry. Vol. 3, Pt. 1. 1954.
339 P. (MM 7:11)
(Groups. Theory of) (Transformations (Mathematics))

SMIRNOV, V.I.
- 10. 41''
1--l"
On conjugate functions in many-dimerisional Buclidean space. Part 3.
Vest.len.un.9 no-5:3-17 My 154. (KIRA 9:7)
(Spaces, Generalized) (Differential equations, Partial)

LYAPUNOV, Aleksandr Mikhaylovich, akademik; SRETENSKIY, L.N., redaktor;
KOIADGOROV, A.N., akademik, re&aktor; SMIRNOV." V.I.. akademik,
redaktor; SUBBOTIN, M.F., redaktor; ISHLINSKIT, A.Yu., redaktor;
MIGIRENW, G.S., kandidat fiz.-mat. nauk, redaktor; PETKEVICH,
V.V., kandidat fiz.-mat. nauk, redaktor; KIRRARSKAYA, A.A., tekhni-
cheskiy redaktor.
[Collected works] Sobranie sochinenii. Moskva, Izd,ve Akademii
nauk SSSR. Vol.2. 1956. 472 p. (KT-RA 9:6)
l.Chlen-korrespondent AN SSSR (for Sratenskiy, Subbotin).
2.Deystvitellnyy chlen AN USSR (for Ishlinskiy)
(Dynamics) (Differential equations)

SMIRNDV, Vladimir Ivanovich; akademik,udoptoyen Stalinskoy premii v 1948 godu;
'-~WWV, -G.~P. , redaktor; VOLCHOK, K.M., tekhnicheskiy redaktor.
(Course in higher mathematical Kura vysshei matematiki. Izd. 16-oo.ispr.
Moskva, GosAzd-vo tekhniko-teorati. lit-ry. Vol.l. 1956. 478 p.
(Kathematice) (nu 9:6)

SMIHOV, Vladimir, 4wSjAch, akademiki udostoyan Stalinskoy premii. y 1948 godu;
TOLCHOX. K.M.. takhnicheskly redaktor
[A course in higher mathematical Kara vy9shei matematikis Izd. 14-oa,
ispr, Moskva, Goes izd-vo takhniko-tooret. lit-ry. Vol.2. 1956.
628 p. (nu 9: 7)
(Mathematics)

PHASE I BOOK EXPLOITATION 610
Smirnov,, Vladimir Ivanovich, Academician
Kurs vysshey matematiki. t. 3, ch. 2. (A Course in Higher Mathematics,
v. 3, pt. 2),6th edition. Moscow, Gostekhizdat, 1956, 674 p.
15,000 copies printed.
Ed.: Akilov, G. P.; Tech. Ed.: Volchok, K. M.
PURPOSE: This book is designed as a textbook for students of mechanics
mathematics and physics - mathematics faculties of Soviet State
Universities.
COVERAGE: The basic theory of functions of a complex variable,
including the theory of residues,"and its application to various
calculation processes and to analytic representation of functions,
is given. Conformal mapping is treated with many illustrative
Card 1/ 16

A Course in Higher Mathematics
TABLE OF
CONTENTS:
610
Ch. 1. Fundamentals of the Theory of Functions of a Complex Variable
1. Functions of a complex variable 7
2. Derivative 13
3. Conformal mapping 19
4. integral 22
5. Cauchy theorem 24
6. Basic formula of integral calculus 27
7. Cauchy formula 30
8. Integrals of the Cauchy type 36
9. Conclusions from Cauchy formula [Theorem of Liouville] 39
10. Isolated singular points 40
11. Infinite series with complex terms 43
Card 3/16

A Course in Higher Mathematics 610
Ch. II. Conformal Mapping and Plane Field
29. Conformal mapping
30. Linear transformation
31. Linear fractional
32. Function W = z2
33. Function W = I"
1
117
120
transformation 121
132
(z + 133
z
34. Lune and strip 136
35. Fundamental theorem 139
36. Christoffel formula 142
37. Particular cases 149
38. The case of a part of a plane outside a polygon 152
39. Minimum properties in connection with conformal mappings
onto a circle 155
40. Method of conjugate trigonometric series 158
Card 5/16

A Course in Higher Mathematics 610
Ch. III. Application of the Theory of Residues, Entire and.
Fractional Functions
56. Fresnal integrals 215
57. Integration of expressions with trigonometric functions 217
58. Integration of rational fractions 219
59. Certain new types of integrals with trigonometric functions 221
60. Jordan lemma 224
61. Representation of certain functions by contour integrals 226
62. Examples of integrals of many-valued functions 230
63. Integration of a system of linear equatiow with
constant coefficients 234
64. Decomposition of fractional function into partial fractions 240
65. Function ctg z 244
66. Construction of meromorphic function 244
67. Entire functions 246
Card 7/16

A Course In Higher Mathematics
610
84. Analytic continuation
85. Functions of matrices. Preliminary concepts
86. Power series of one matrix
87. Multiplication of power series. Inverse of power series
88. Further investigation of convergence
89. Interpolation polynomials
90. Cayley identity and Sylvester formula
91. Analytic continuation
92. Examples of many-valued functions
93. Systems of linear equations with constant coefficients
94. Functions of several matrices
Ch. V. Linear Differential Equations
95. Expansion of solution in power series
96. Analytic continuation of solution
97. Neighborhood of a singular point
Card 9/16
314
315
316
320
323
328
330
332
335
338
343
347
351
353
Card 10/16

A Course in Higher Mathematics
610
116. Positive parameter values 426
117. Degenerated Gauss equation 427
118, Equations with periodic coefficients 430
119. The case of analytic coefficients 436
120. Systems of linear differential equations 437
121. Regular singular point 440
122. Regular systems 443
123. Representation of solutions in the neighborhood of a
singular point 449
124. Canonic solutions 452
125. Connection with regular solutions of Fuchs type 455
126. The case of arbitrary % 456
127. Expansion in the neighborhood of an irregular singular point 460
128. Expansions in uniformly convergent series 469
Card 11/16

the fom
n,
-noe-
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a n "or-,
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A Course in Higher Mathematics 610
.184. Elliptic coordinates 636
185. Introduction of elliptic functions 637
186. Lame' equation 639
187. Simple pendulum 641.
188. Example of conformal mapping 643
Appendix: Reduction of Matrices to Canonic Form
189. Auxiliary propositions 645
190. The case of simple roots 651
191. First stage of transformation in the case of multiple roots 653
192. Reduction of matrices to canonic form 656
193. Determination of the structure of canonic form 662
194. Example 666
Index 671
AVAILABLE: Library of Congress
Card 16/16 LK/jmr
9-26-58

S 0 V/ 1 -'41- 5 7 - 7 - 7-15-1
TranslaLion frorn: Referativnyy ZhUrnal. IvIckhanika, 1957, Nr 7, p 2 (USSR)
AUTHOR: Smirnov, V. 1.
TITLE: The Mathematical Works of A. N, Krylov. (Address Before a Joint
Meeting of the Academy of Sciences, USSR, and the People's Commis-
sariat for Naval Affairs on December 15th, 1945.) [Maternaticheskiye
raboty A. N, Krylova. (Rechl na sovrnestnom sobranii AN SSSR i
Nar. komissariata Voyen.-Morsk. Flota 15 dek. 1945 g.)]
PERIODICAL: Tr. In-ta istorii yestestvozn. i tekhn. AN SSSR, 1956. Vol 15,
pp 13-23
ABSTRACT: Bibliographic entry
Card 111.11

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r 11, - I s k i v e r A"-, ot
oji December 15, 1r I'MO.,"ena'iche
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A. N. Kny~-c)-,ra.. Rechl ria s-va---Ita AN. SSSR i
.. ~ ~ -' . - -, -Ko~ ~-. ssanlata Vc~.r n*-'i~-,-MC-.'-5"-,r~)90 Kota 1-5
---c- F,
C
Tr. in-t-a !,,;tor~-i yes-'.*Ps-u-vo7,-r,, A-1.1 SSSR,
I Q
-t-5'6, 1-9, pp 13-23
contains a d cm of
work.-, of A.Y,.
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'.I . Ldua.L

SMMOV Vladimir Ivanovich. akademik;.EAKILOY, G.P.,- redairtor: VULCHOK.
. - - =-_ x M. 0- ~!'
X.M., telchnicheakly redaktor I - - t
[A course in higher mathematical Kars vysshei matematiki. Izd- 7-00-
Moskva, Goo. Izd-vo takhniko-teoret. lit-ry. Vol-3. Pt-1. 1956.
328 p. (MLRA 9:12)
(Mathematics)

PORTUGAL' , V.B.; HATANSON, G.I.; ALK VA, V.P.; SMIRNOV, V.I., akademike
red.; CHNBOTAREV. G.A.. prof., doktor fiziko-ma_te_m_6-fi~heskikh
nauk, otvetstvennyy red.; ZENDELI R.Ye., tek-ha.red.
Nathematics and mechanics in the publications of the AcadeTW of
Science of the U.S.S.R.; a bibliography] Matematilm i mekhanika v
izdaniiakh A-kademii nauk SSSR; bibliografiia. Sostavili V.B.Portugall,
G.I.NatanBon, V.P.Alekseyeva. Pod red. Y.I.Smirnova. Moelcva, Tol.3.
1948-1952. 1957, 361 p. (MIRA 11:4)
1. Almdemiya nauk SSSR. Biblioteka
(Bibliograpny-Mathematicsi
(Bibliography--Mechanics)

Vladimir Ivanovich, skad.: AKUIAW, G.P., red.; VOLOHOK, K.M., takhn. red.
SMIRNOV,
-
[Course in hi7her mathematics] Kurs 7ysshei matematiki. Izd- 3.
Moskva. Goo. Izd-vo tekhniko-teoret. lit-r7. Vol. 4. 1957. 812 p.
(MLRA 11:11)
(Mathematics)

AUTHOR , SMIRNOV YjA_1'_ PA - 2617
TITLE -LiorE-ard Euler (on the Occasion of 25o Anniversary of His Birthday)
(L*onard Eilor (k 25o-lotiyu so dnya rozhdyeAiya - Russian)
PERIODICAL Vestaik Akadowii Naukk SSSR, 1957, Vol 27, Nr 3, pp 61-68 (U.S.S.R.)
Received 7/1957 Reviewed 7/1957
ABSTRACT Leonhard Euler was born at Basel, Switherland, as'th* 30A Of a PrOt4-
stant pastor. He was one of the prominent physicists aid mathematicians
of his time. The author gives a short biography-of Euler in which he
points out that, is accordance with a door** issued by Peter the Great,
the Academy of Science was founded at St.Potersburg in 1724 and that two
friends of Eul*r's Niclas and Daniel Bernoulli, were the first foreign-
ors to become members, and that it was by their instigation that later &1-
so Euler was appointed member ofthe Acadomy-for Mathematics. Ilk 173o
Eulor was appointed professor of ph7sics, and in 1733 professor of mathe-
matics at the Academy. By his work at the Petersburg Academy Eulor ac-
quirod world fame, and is 1741 emperor Frederick Il. invited his to so-
me to Berlin im order to work there. Buler accepted the invitation but he
remained an hozorary-soubir of the Petersburg Academy, kept up sorres-
pondemao with the Aeadomy, and looked after Russian students who same
to Berlin . After having worked at the Berlin Academy for 25 years, some
toRsion. arose between his and the Academy as well as the Eaperor,so
that he accepted am invitation extended by Czarina Catherine II. and re-
turned to St.Potorsburg, where he as well as his sons obtained impor-
Card 1/2 tant Positions. In 1783 Euler died at St.F*tersburg where he was also

16(l) PHASE I BOOK EXPLOITATION SOV/2o18
Smirnov., Vladimir Ivanovich, Academician
-KUU;_9 vysshey matematiki, tam 1 (A Course in Higher Mathematics, Vol 1) 18th ed..
.unrev. Moscowq Fizmalgiz, 1958. 478 p. 25,000 copies printed*
Ed.: G.P. Akilov; Tech. Ed.: K.M. Volchok.
PURPOSE: This book is approved by-the USSR Ministry of Higher Education as a text-
book for students of mechanics-nathematics and 1:hysiceenathematics faculties of un-
iversities and for students of v-tuzes with ex-Lended teaching programs.
COVERAGE: In general, the material found in the book can be found in any standard
textbook on differential and integral calculus. However, the concepts of limits,
continuity of a function', and real numbers are analyzed in greater detail and
with greater exactness. Fundwental properties of polynomials, properties of
complex numbersjand arithmetical operations on them axe discussed in order to
facilitate the integration of rational fractions, expressions containing radicals.,
and other complicated integrals. The author thsank Professor G.M. Fikhtengollts
for help in producing the book. There are no references.
C a rA - 1 /14~-_

ROGOYM, Grigoriy Borisovich. Prinimal ucluistiye 11OSK0Y, A.M.,astronom-
geodezist. SMI1WOT, V.I., red.; FEDOROVA, L.N., red.izd-va;
BYKOVA, T.T., tekhn.red.
(Characteristics of the Norillsk deposit 1, luiving possible
prospecting significance and the efficient method of prospecting
it] 14estorozhdenie Norillsk I, nekotorye ego osoberinosti, me-
gushchie imet' poiskovoe znachenie, i ratsional'naia mtodika ego
razvedki. Moskva, Gos.nauchno-tekhn.izd-vo lit-ry po geologii i
okhrane nedr, 1959. 167 P. (MIRA 13:5)
(Norillsk region--Ore deposits)

SMIRNOV, Vladimir Ivanovich, akademik. Prinitwli uelmotiye: LADYZfOISKAYA,
O.A., prof.; BIRMAN, M.S.; AY.11-OV. G.P., red.; POLISGYA, R.G.,
telchn.red.
[Course in higher mathematics] Kurs vysshei matematiki. Moskva,
Gos.izd-vo fiziko-imtem.lit-ry. Vol.5- 1959. 655 P.
(MIRA 12:10)
(Mathematics)

10-(1)
AUTHO.RS: Si~iirnov, V.I. Linnik, '-,'U.7. SOV/42-141-133-5/22
TITLE: Nikolay Sergeyevich Koshlyakov;in 'Memoriam
-PERIODICAT,: lJspekhi matematicheskikh nauk,1959,vol 14,Nr 3,pp 115-122(USSR)
AB3T-RACT: This is a inemory on Nikolay .-Jergey-evich Koshlyakov,
Corresponding Member, Academy of Sciences, USSR, Doctor of
Physico-Mathematical 'j*cIencos, who died on September 23,1958
at the age of sixty-seven in l'oscow. He was a follower of
A.A. Markov, V.A. Steklov, Ya.V. Uspenskiy, Professor A.A.
Adamov, Yu.V. Sokhotskiy. Pollovers of the deceased are :
I.V. Kurchatovq Academician, D.I. Shcherbakov, Academician,
and Professor L.G. Loytsyanskiy. A list of the publications
of N.S. Koshlyakov fron 1912-1958 with 68 titles is given.
A photo of the deceased is added.
G.F. Voronoy is mentioned in the paper.
Card 1/1

OSTROGMSKIY, Mikhail Vasillyevich., matematikq mekhanik; SHTOKALO, I.z.,
akademik,,otv. red.; GNEDENKO, B.V., akademik., zam. otv. red.; ISH-
I,UISKTY, A.Yu., akademik, zam. otv. red.; BOGOLYUBOV, N.N., ~kademik,
red.; IiEMEZ, Ye.7a., red.; SAVII, G.N.., akademik., red.;'SOKOIDV, Yu.D.,
red.; akademik, red.; YUSHKEVICH, AePo, prof,, red.;
POGIVMSSKIY, I.B.I. dotsent, red.; SHTELIK, V.G.9 red. izd-va; -RAKHLI-
VA.$ N.P., tekhn. red.
[Complete works in three volumes] Polnoe sobranie trudov v trekh to-
makh. Kiev, Izd-vo Akad. nauk- U&%I. Vol.2. 1961. 358 p.
(MIRA 14--11)
1. Pli USSR (for Shtokalo, Gnedenko, Ishlinskiy). 2. Chlen-korrespondent
Ali' USSR (for Remez, Sokolov).
(Mechanics, Analytic)

V~ T~. red, VOii0NOVSKAYA Ye.V. red.;
S'DIO"OV), ~ . otv. red.; bUROV) i $ 1 9
LOZINSKIYY'S1 IM,Ared.; NATANSON, G,I., red.; IMIARENKO, B.A.,
red.; FAY-NSH,'IDT, V,L., red.; S-',OIZANSKIY, M.L.9 red.; MURASHOVA,
li.Ya., tekhn. red.
[Studies on modern problems in the constructive -theory of func-
tions] Issledovaniia po sovremennym problemam konstruktivnoi
teorii funktsii; sbornik statei. Moskva, Gos.izd-vo fiziko-
matem.l.it-ry, 1961. 368 p. (MIRA 15:1)
(Functional analysis)

BOGOLYUBOVI N.N.2 red.; GIIEDENK0, B.V., red.; PCGP-PEYSSYJY, I.B., red.;
19MEZ., Ye.Ya., red.; q,'II?dIOV,--V.I., red.; SOKOLOV, Yu.D., red.;
SHTOKALO, I.Z., red.; YUSIIKTVICH, A.P., red.; SHIROKOVA, S.A., red.;
YMAAKOVA, Ye.A.J. tekhn. red.
[Pedagogical heritage and documents on the life and work of Mikhail
Vasillevich Ostrogradskii (1.1.1862 - 1.1.1962)]I.Iikhail Vasillevich
Ostrogradskii, 1 ianvaria 1862 - 1 ianvaria 1962; pedagogicheskoe
iiasledieY dokumenty o zhizni i deiatellnosti. Pod red.I.B.Pogre-
bysskogo i A.P.lUshkevicha. 1.'.oskva, Gos.izd-vo fiziko-matem.lit-ry,
1961. 397 p. (MIRA 15:1)
1. Akadeniiya nauk SSSR. Institut matematiki.
(Ostrogradskii, Mikhail Vasillevich, 1801-1861)

a,'IFG'.OV, Vladimir I-vanovich, ak-ademik; AKILOV, G.P., red.; VOLCHOK,
K.M.P tekhn. red.
(Course in higher mathematics) Xurs vysshei matematiki. Izd.19.,
ispr. Moskva, Gos.izd-vo fiziko-matem.lit-ry. Vol.l. 1961.
478 p. (Mathematics) (MIRA 15:1)

ARBUZOV., A.,Yo,r VAVIWV, S),J,, tlkiki.; VOLIFKOVICU, S,.I., ldcad.j
KOCHINA, P.Ya., akad.; IMIQSBERG, akad.; IMBMZON, L.S.,,
akad., FUAY-KOSHITS, A.Ye., akad.; OIRNOV, VJ.-, akad.; FESRIKOV,
V.G., akcad,-~ GHMJYAYEV,'V,I., akad.; KJAPUSTDISKIY, A.F.; KORSHAK,
V.V.; n- AVKOV, S.V.; I.IIKIFOROV, P.M.; PETROV, A.D.; P-,UMVODITEIEV,
A.&; FRISH, S.E.; CHETAYEV, N.G.~ GR-IUTOV, V.K.;.SHOSTAKOVSKIY, M.F.;
ICOZ14ETSOV I.V..' ; MIKUL ISK
.1 red. _0 -TY, S.R., red.; MLWSHOVA, N.Ya..,
tekhn.red.
[1-len of Russian science; essays on prominentt persons in natural
science and technology: Mathematics, mechanics, astronomy, physics,
chemistry) Liudi russkoi nauki, ocherk! o vydaiushchikhsia deiate-
liakh estestvoznaniia i takhniki. matematika, rekhanika, astronomiia,
fizika, khii-.Tia. Hoskva, Gos. izd~vo fi~xilko--materr.. lit-ry, 1961.
599 P. (MIRA 14:10)
1. Chleny-lcorrespandenzly AE SSSR (for Kapustinskiy, Korshak, Kravkov,
Iliki'Lorov, Petrov, Predvoditelevj Frish, Ghetayev, Clwutov, Shootakovskiy).
(Scielitists)

SMIRNOV, Vladimir Ivanovich, akademik; kKILOV, G.P., red.; VOLGHOK,
-- K.M., tekhn. red.
[Course in higher mathematics]Kurs vysshei matematiki. Izd. 18,
stereotipnoe. Moskva~ Gos.izd-vo fiziko-matem.lit-ry, Vol.2.
1962. 628 p. (MLU 15~9)
(Mathematics)

BOGATSKIY, V.V.; SMIRNOV V I ', red.; FEDOROVA, L.N., red. izd-va;
- 7V - '-
BYKOVA-,V. , te~. red.
[Vathematical analysia of test area] Matematicheskii analiz
razvedochnoi seti. Moskva, Gosgeoltekhizdat, 1963. 211 p.
(MIRA 16:7)
(Prospecting)

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SMERNOV,- ---r -Pur~~movllchi W?,,KCJV, Yu.A,, red.
--- --- --- - I - -
in higher mathematical Kurs vysshei ma-lematiki.
Vlosk-va, Nauka. Vol.2. i965. 655 P. (MIRA 18~8)

~-L'15779-66 EWT(d) IJP(c)
~ACcNR, AP6016360 SOURCE CODE: UR70020/65AW064707WO755
23
AUMOR: Gokhberg, I.. Ts.;, Krey.n. H. G.; Smirnov, V. 1. (Academician)
ORG: Institute of Mathematics and Camp~tina,Center, AN MoldSSR, _(Tnstitut matematiki
s %-jehislitelInym tsentrom AN 1162ASSR); Odessa Construction-Enginearing Institute
(Odesskiy inzhenerno-stroitolInyy institutT_
TITIE: Multiplicative representation of the characteristic functions of operbtors
which are close to unitary.operators
SOURCE: AN, SSSR. Doklady, v. 164, no. 4, 1965, 732435
TOPIC TAGS: mathematic vperator, mathamtics, function
'ABSTRACT: The'article shows that previous investigations by the authors on the facto-
rization of operators, in conjunction with various investigations of others (Ve I*
Matsayev, Yu. 1. Iyiibich, B. Sz.-Nagy, and C. Foias), make it possible to obtain a nati_~.,,
representation of*'the charaeterlsti6 fithetlohs of
operators of a comparatively-wide class. The following theorem
a
Is formulateds If operator T C:;~,Cg z with unitary spectrum'
~pqssesses a proper chain dividing the spectrum, Its characteristic'
tfunation e permits the multiplicative representation
T
W
_H%dP([-PHP)_
OVM (6 (ow, S V +
Card 1/2
F
Card
-2/2

I "" . I .
bEYEV, V . I . ; KOGHNI-Af, It. 11 . i:~lklli~t NO V I
P~
I. oni iur, behavlor during converter smelting wJth an oxygen-
enriched blow. Trudy Inst. met. UFAN SSSSR no.8:61-68 163.
(MIRA 17-9)

DROBCHENKO, A.T.; M-AZMIIK, V.N.; RMISKIY, B.N.; KHARAIM, V.A.; SMIRNOV, V.I.;
TIKHCNOV, A. 71.
, -ilar-ities of the reduction process for liq,iid slat-,s from copper
Ren
smelting. TSvet. met. 36 no.12:15-18 0 163. (MIRA 17:2)

S:- J'Ov Oor:,.Ya~:
O'.-tical -,.-t"Oa- 0'
Je '60. (,:!-.A
Zo'o-' --o. -o --u,3c)uT)ra-lrlcriiya (-"o:- S,!-.i -nov)
-.,rv,2yi:i:-,
no

YAROSLATrSL7, A.S.; SMIRNOV, V.1.
Metal and sulfur distribut-Ion in the autoclave leachina of zinc
0
conaertrate. Izv. Vys, Ucheba zave, tsvet. met. ? no.5s58-.62 164
(ITIRA 18a1)
1. Kafed-ra tyazhelykh tsvetnykh metallov Urallskogo politekhni-
clieskogo instituta.

0 ~00
v II

CcoWr fusioso and their fuming. V. I. -stflirmlic.
Art
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FC.O. are heale-I will) c at I..."WI,Or- Ow 1, 1. -00
t, C bill n.t PT.1wriv Imillce 1114. /nS.
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The coltiffliel U9011"0111 Of UfAl COPP~t CoPper ginc
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51-iffl0vi V. I.
"The Roasting and Concentration of Copper Ores under Oxidizing Conditions.? It
ONTI, 1938
11 -,W
I

A L a
I I AA 14 U LO ft
A
Desulturftationdurfag the fu I affates.
117 o"Co ~00C`
1
V. 1. Smirnov and V. D. %fishi. T .
.Y lnd~ Ind.
Kirow 1938, No. 5, 3-2N; Khim. Referw. Zhur_ 1. No.
00 11-12, PI-20M).-It was 5hown experimentally that
thr crucible fusion of Cu-contil. substances or their roalt-
Ing at in a neutral atm. (Nt) gives linfilar
so rtsults of the c!"rele of desulfuritation which mrr analojectus
0.0 to the results of the reflected fusion. Calcu4. show that
-tined desulfurization call tit culvd, millici, tit lv Ac-
h
f

0 tian t
e
i on the tasis of the cutopit. of cite itimt,
1 I(S in tile mitt.) - (S in the stein + S lit th,
00 -or the (-all n. of tilt S vAhn,, lit
Z.,,, (S in the mixt.). 1
the mixt. the conterts of tile flight r lulfidc4 which yidd
99 on dis%ocn. firre S fpyrite, chalcopyritr), thr SIIIIAtt74, And
00 the -active solid oxygen" (~pd. 0 Itta tile rc,lucttoll of
j Fet0k, to FeO, from the suffidition of the CU oxidci, and
00 front the di"oen. of the sulfates) wtre taken. lit cus-e tit
an exct*s of the mentimed higher sulfides the desitifuriza-
d O
n,
tion degree can lic accurately det,l. hy tile ault, t
freely qcpg. elementary S. In case ofan el,vess tit ipf a dr-

00
fi, Is
-icacy of tile higher suffides the ticiulfurization drimm
on the active 0 contained in the oxides and the sulfatei;~
0 The expected degree of desulfurizati"n %indvr plAnt condi-
tions can he calcd. preliminarily and then v,rifivd in tile
fall. W. R. lietin
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mch Wri" of t1W. IAMW &M g-- and 'he "pt"
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xaton we v"ified with rreard to tbt disslen. (if PrA
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00 re fossnd: the Inhibiting effmt uf M110 On
All.. d6mm. of FeM (which 6 mnafler than that of C&O).

*41 thc hwrvjm of dismen. from theeffect of AhOo at MW Will

0* almlve, the dtvonipfi. of FcsO* bir CIAO and %f9 at abOve

a UMv with do jumsjon Of ftffil, of jrpI atut Sfgo, and
i
(It,
indimtim of the efftct Of ClAy which 04111it SUPINWt

0 ~vf Ibc fmmstion of aturninaln of PCO. W. R. licon
A $ L A ETALLURGKAL LIT9SATURI CLAISIPOCATAGO
- - -.-- ._- -
ale.,
Iwo t
T _r Ir T
t" A*, ; K, K, a' K"U" 11KKW"
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00 ir of heavy metals. V. 1. Smuttily Oil A- .1. Vt -I.- L 1.
__
L~_
0
NO '-. AI- A
I rud v 0.11. Ind. Iwil- '1939. -0
Kffr,al. Zk"F. 1. No. I 1 12, :11,01 IiL:;S!. flit- It.14711011 Of
I..e't It 'it IIII Ihe Itilfidr, Of he"vY 1110AII %A' 111%ulliKilicif
It.ondit Iftont ill % It: ii Of t lit it cluitacivr
*0 11",1 Of III,- all sysivin. 1-0~
Ve.0., Cuts Cuts zo." I-ep, And
Z,IS Felt 1. ft,.ietiml,; I-L 1.1 ., do, to .'o
*0 aim. of N catchilly lluriti"I from olnoxis. Of (). ['lit
re,ult., fklr LUCII SYSMIS Aft XIVVII Of dUgfilifil. F t' lilt
Ilow~ it high client. uciivity towtaral the %ulfiolv.~ of lit.IV%
00

la
1,. The reaction between FerL), and the heavy
00 :::c1
l2 1. keg place it, L Itagir.4; ill the tirNt Of thirsir IN"-
00 ,i:,O*) Feo. is reduced to Fes0i, and in the sm~jnd (at a
higher temp.) Fe.0. is reduced to FeO in the presence of
00 the suffide. The prr-wnce of silica ihortens
00 reducailin ill Fe.0, and lower% the terup. of 00
thereaction. Max. activity is shown by FvS, and inin. by
cuts. W. R. flerin Z99
f Zoe
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-ITAILLLi`~KIL LITFRA14,af CLASSIFKATICN
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040 -A A iv,,P A 1. AA 0 a M U It a 4~ m
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00 1
00 The efficiencY of bleat fumalces in the smelting of copper
06 And copper-nickel ores. V-1. SMITIbIv. -00
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h -ft~ F- Q IL 1- u M M CE

sided state
Roasting of nickel mat in the sua
.11-1 N I v,h,.va. ef"ve Jtff-l" 1939,
r
lk--~! 1-ibiliti-of r,va~l-
Ninoiat it% (volvt-tited) %tal- List, cxlo,,-
inss
*it - 11.1ilt. it-intiv file following factof~: tcrop., firstrut-
,
9 .
f 111,41, 1W.,sill of I-tHIK finflACC1, Vic. U."111M wrte
1)
I-- in a V11111111 Ilifoll- fit (1111`1111CIT With t0p t-hillsKilig
o
1;
is NMI (-m file flotiorn. atilt with the cliargr
:;
I"s "'nolatum, I Ili Islas. I lal ".I. a Ni flust front
I'lle I'll tit till-
[tic I Wirt Willi,, -nIK S.
son. I ...... Is, . I I I hr 1'.9,tior Mott tie
thlin Ost, C-'l Mut ~11,411,1 IN- polvveized is,
1-21011to-fit. 131 tom, the tbrotutivial alul. of air
l
A
i
(.,I coll-,Itio if millid'. it, -i'le of NI i,; nvvt- -
l,
I
lot Ill, .f file On file t,;1,
0 .IV I I In, t,a~ of I he 11--ight of flo-flu'v front -Op tit L.?;
,ult, a twt-fag lllfo-o~ nollioll fill-flac, of
"fit-It olliv ill Nlight (It efficit-flev. Mfe "it. t-l bir im-fifilloiltv
I o- t.,,111 w1l, I'lliv I V.5"i, Is- than Willi a *0)- 'faflollarv 'IfAl and 1111.11 iguill.,11 tit a Inhobt 10.6r,
,!
i (As t In- Inclea.- in fit,. ratc it charging Aft. plullval...1 by ga~ " 11 .1. 1
.
W Iin ill hoof, of I'm k% kK. liter C11. ro. tit farnal"r vt'l. tna- On, '11.111 11111m,
lubill.1 tit
11,!,.1sAV4-1 the S only- Sligild)-- 1.11) It W-13 not File furna,e i, and 14 c(linpl-I .1111 :11"1
life is, f'-do. , I h, S "'cits,"t to Ir- thall 11.57'. (7) tnr~ which triorn ro,'I'led lows I, ;to "I
a filo, .4 Ni ,%id, i,t ftrint-d mt the -urfacr if al Ille 4ulff fullia:1.
li'm ("Atli. le, "In. 1, further uvre- if 0 Is, Ihc
00 111tvis"r 'J Ill, patmlv. Vor
I :I__ - 1"Itl(" r""e'"llif 11"". w""M Iw neceiary. (M No casking
1)
4 Ille itis"d. 1n.1 via, ,I,,-rvrd durinit roaming. 11
inferfordintr Tronifing pro-
4111, d to.. fill I 1wr r1l" I till) P Ill.. Willi tin, If- of 0
ul,f-d"t ,,, X.,V -10-1-v w1livil isn't j, at -
L A OtTALLURICICS1. LITIMPAIMSE CLAIISIFKATION
40 fps .40.. '-sill
- -
IL 41v o- a.(- - -
Idnail
81
if
U It AT .0 A
IT
; tp r? 1? 01, K Iff it Illf K It It Or
4
'1 41 it 40 45
4 4 A
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It"s
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tie*
If
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sits 0 M so 5 so --
An L % a 3 4A
EW If I i
and:
0 tie 0

,%11RNOV, V.I.
Professor, "Shaft Smelting with Anthrocite", Tsvet. Met. 1,-,, No.7, -.7uly 1939.
ReDort U-1506, 4 Oct. 1951.

SMIRNO~'. V. I.,CHELYSHL-,A, N. L.
Professor, Engineer. "T",e GalcinLng of Ilickel Faynshtr,-y-n (3ic) in -uspension"
Tsvet. Met. 14, No 91 September l;39.
U-1506, 4 Oct. 1951

C* ~j E~a4,
i'le Go --rDS4 D.1 :)f' S~~,rjf~ r ).-,Ii U, rilesF S'e,zls?ly
D I -,,rid Co-f a
)s"on o1. 1 4-11`40).
(:,o I.:. S 4 0 _Taj~ ~_LFSJ,~.aDVai.17a LJ_"_-Jsii 4'1
o-, is eu oy- ins of P wsichl C,.Crai stry, US C;- itca-, -;-r. )f Sciences,
v
TranrlAiot- ATiC-7 062-D
F- -S- -1 030- VV -

0 0
00
so
00
'00
00
00
60
00
09
00
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09
00 0 0 0 60 0 0 0 0 0 a 11, 0 0 0 010 0AA-, 'O's"IF-IFTe a W V V V W V -
0 41 0 0 0 4,411 *1g, 0 0 0 0 a all, 0 0 0
ill. 4 41 t. M 23 14 li h a 211 1`1 a, M J. 'a U is 40
-2 L L a 1, r Q A AYI-A V. OP 1--at 4
- ..z, '.1- . r -00
.10 .".
11 -1--
-00
SWI elmolting of oxidized niCkel orea; la'. 1. ',,ojj MA.
haretilayi, jiffal. 1940, 'No. :i, tV;-;:i
'Indting a,( mi,lized NI mor, ill 01A hirti.i.- u, fititi.
int,oduccd in Rustiii in W34. -'k-WIld talt-Iters are n(i'A
In capatrittilln. S. discus%es V;IriOil% faCtor, accitunting lilt t
in.-Ificirtacy andlow riA,ovvfv. ;anti %iiXXv,Is ituprovement,.

.11111C of which have Marva& fivt
-it inirtilhirt,f ill praviie, -00
'rite improventeutssugg"lled :are along the following lines: -00
fictter pfepn. of the ore. iii-aprovctuvritbin roast ing, control .00
n( charge compel. and ais contuniption. control of charge
voU, sing control ainted to inapraravr the iniviting o( and 400
ofes with the use of noin. adsln%. of lioaroone, use of fluor- =00
qpar, etc. Other inaprovenlarn1% kliggeord are: recovery
if Ni front slags, crallcrtion of dust, I reatruent of ore% high
in Nix, anti ifiaprovellients in the design of the furnaces.
Daniloff
:0 0
AS..SLA blIALLiPUCAL LITFRATILOr CLAWfICA71C
It
bit SSAVIOW; opiat Kit WU KItIt tot
0 0 0 0 0
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i
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was
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12 1 V
No it I Nalk end
6 0 lob

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Ot, pliv WI.L11" wilopux tio ultialivullaw.%
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tit 'r-hil ".11117 -V.) I cm-pa 'a (wG1 --girl -pallZ) VA4.1uplis, 00

... .... ....
00, ..... 00
11141- 00
100
0 Ion., I 111410,194 0.1 w 111"1114
diltiod
-
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00

t of

4, 1 is it A 04
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,ftA 0 0 0 0 a 0 0 9 0 0 0 0 -1
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Muft- *_A 0- -9 _11 0- 0, 0 0 0 0 0 0 to 0 to 0 :ie
It 4k 0 0 0 0 0 0

I arriperaturr conditions fa The tocriffillon of copper
and I
nickel silicates. %' I Sj%tANW~A%1' A 11 .4"mw
Irmdy 1".&I 1"d 14. pit. (%b 78. Khme
N... It; p. 73; Ci- ~ I As_ 37. P44I
ON31. Mixture Imirv lCuto + &0. aiml 2.Nk -
Sio, wrrr ignited sit ticusperatur" up to 1001), Intl 13M,
C .1vilic-Clivirly.in anstakeilib"Visfallifuld N. lbriflikiltil
fillsturr. wvfq., Itentc-1 with Wicefivii tail-mit'% 1.1 di-at,t
the It" ot,141- 4 Cis fAr ;. NHI UJ%it6n) ailml Ni (SA,. IlCl
%4umpti), anti the iclupcratuce slid kineckb of thicluffisus-
ti,xi J Cis and Ni silicates awc detscrissimmid. 71w fortnis-
tilm .4 Cis Sifirmits, twaim eyvis shissialf llst firing of the
furnace unit ~Iis vigorously forr I to 2 hr. at lW)'.
he pf-blet a brigitt t%hwb cubic. Thr
'MmAll.'st 4 N1 %ilh-ate briffill at *W)* it) MO* tifilet Isili-
;
I i.mi fm I fir, A lonst" isidtion not bitly it," not inerva,,ir
thr Y0.1 "f thr Alivisfir but may 11CCIVA-C it.

e
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RNOV, V~SlLrf T"ANOWMI
NI/ 5
61~ .5
T
Metallurgiya Medi i Nelllzel~ya (Yetuallurgy of Copper and Nickel) Sverdlovsk
1950.
592 T). Port-, Diagrs., Tables.
"Literatura": P. (592)

otra~ha tei (Iaverber,~toy-j &~ejting) Tieorlya I Prakt-lika. lzl. 3. Pe-,-ar.,
nava Irlavira - 11
1952-
I Do-pol.
=.
3?
S~q: .115
1952

mw/iainerals Idetallurgy
card 1A Pub - 12-3 4/13
Authors Sminiovp Ve Iss 14eme Correspo Kazakh Acad. Scis
Title About the quantity and elasticity of blasting in shaft-furnace smelting
Periodical Vast. AN Kaze SSRP 11/21 14-48., Feb 1954
Abstract An analysis is made of the factors involved in shaft-furnace work
where careful calculations are~.required for S12e and form of the
tuyeres, due to elasticity.and pressure of the air. A study is made
of methods for proper distribution of the gases during blasting in
order to attain the highest efficiency. Five Russian references (1939-.
1953)-
Instituticn t

SMIRNOV, V~I.; KIIUDYAKL)V, I.F.
Problems of the mechanization of labor-consuming operations in non-
ferrous metallurgical plants. Vest.AH Kazakh.SSR 11 no.4:37-J~2 AP '54-
(KLRA 7:5)
(Metallurgical plants)

SMIRNOV. V.1.
Yally utilize the productive power of metallurgical plants
of Xazakhatan. Vest.AN lazakh.SAR 11 no.9:28-30 5 '54.
(MLRL 8:2)
1. Chlen-korrespondent Akademii nauk KazMR.
(Nazakhetan-Metallurgical plants)

SMIRNOV Vasil 4jvanovich, -Drof., dokt. tekhnicheakikh nauk ;
4N' V.A., reduktor; KOViLLENKC, N.I., tekhnicheakly
radaktor.
[5haft furnaces in the metallurgy of non-ferrous metalml.
Shakhtnaia plavka v metallurgii tevfttnyl-.h metallov. Sverdlovsk,
Goo. nauchno-takhn.1zd-vo lit-ry po chernoi il.tevetnol metalli-r-
g1l. Sverdlovskoe otd-nle, 1955, 520 p. (MLHA 8:8)
(Smelting furnaces)

SMIRNOV,V.I.
Pyrometallurgical processes and their importance in the development
of Kazakh metallurgy. Vest.AN Kazakh.SSR 11 n0-10:14-19 0'55-
(MLRA 9:1)
1. Deyetvitellnyy chlen AN XazSSR
(Kazakhstan--Metallurgy)

SMIRNOV, V.I.. professor; KLYUYEVA, A.V., Indrii,ner.
- rii~ws'-t'lgation of forehearth accretions. TSvet.met. 28 no.1:46-48
Ja-F 155. (MIRA 10:10)
(Blast furnaces)

N-A t
ogsible,m-aik~dV~o'-fiW: atractlo-a, the U al to ar
smalters. Alclai. 1056,~
35-O.-Tha In it g gm in Os"used . id th~ Urn
whire are dist-u-is'M A, krIq a';' proble-nil fo'r flivesugat'son
art iu
F,

V
Category: USSR Physical Chemistry
Thermodynamics. Thermochemistry. Equilibrium. Physico-
chemical analysis. Phase transitions. B-8
Abs Jour: Referat Zhur-Khimiya, No 9, 1957, 29889
Author : Smirnov V. I., Tikhonov A. I.
Inst :Ac-aa-ew-F-of--gciences USSR
Title :Equilibrium of Interaction of the Chlorides of Cobalt, Nickel and
Copper ieith Oxygen
Orig Pub: Izv. AN SSSR, Otd. tekhn. n., 1956, No 9, 48-54
Abstract: Description of the layout of a circulation unit and of the method
investigating the equilibrium in the chloride - oxygen system.
Approach to the state of equilibrium is effected from two sides.
Calculation of K is carried out on the basis of determination of
change in gas pressure ~-, p, and at small L, p, also from the results
of analysis of the gaseons phase for the chlorine content. Decompo-
sition of CoCl.;- and NiCl, by the oxygen takes place in a single stage
according to the reactions: 3COC1, -20 Z ' C070 -- 3cl~ (1) and
Coa-d 1/2 -16-

SIAIRNOV, V.I., akademik.
Means of developing the metallurgy of nonferrous metals of
Kazakhstan. Vest.AN Kazakh.SSR 12 no-4:3-7 Ap '56. (MIRA 9-8)
1. Akademiya nauk Kazakhakoy SSa.
(Nonferrous metal Industries)

SMIRNOV, V.I., professor.
'
Feasible zinc extraction mtthods for Ural copper smelting plants.
TSvet. mat. 29 no.1:35-40 J& 156. (MLRA 9:6)
(Ur;-.1 -tloLmtains--Copper--Metalliirg7) (Zinc-Matallurgy)

SMIRNOV, V.I., professor; FOILTKAROV, A.N., inzhenar.
"Selenium and tellurium production.' D.M.IUkhtamov. Reviewed by
V.I.Smirnov, A.N.PO1UkfiLrOV, TSvetamet.29 n0-1:78-79 Ja 156.
(Selanium)(Tallurium)(Iukhtanov) (MLELA 9:6)

SMUMOV. V.I.; YABLOI-ISKIY, Yu.A.; KLYUYEVA. A.V.
---- ft
Examination of slugs at the Irtysh copper smelting plant. TSV*t.met.
29 no.9:22-24 S 156. (Miju 9:10)
(Irtysh Vallv--Copper--Metallurgy)

KHRUSHCHOV, N.A.; KOSOV, B.M.; POLIKARPOCHKIN, V.V.; BRITAYEV, M.D.; TAR OV.
A.G.; SHCE3RBAKOV, A.V.; KREYT3R, V-M-. glavnyy red.; SHATAIA)V, Ye.T.,
zamestitell glavnogo red.: YKROFZM,'B.N., red.; MMKOV. D.A., red.;
EIIASHIKOV. V.I.. red.; NIFONTOV, R.T., red.; red.,
YAKZHIN, A.A., red.; VMW, I.V., red. izd-va; AVMIYZVA, ?.A.,
takhn. red.
[Prospecting for mo)vbdenum, tungsten. tin, bismuth, antinomV,
and mercury deposits Razvedka mestorozhdenii molibdena. vollframa,
oldva, vismata, surlmy i rtuti. Moskva, Goo. nauchno-takhn. izd-vo
lit-r7 po geol. I okhrane nedr. 1957. 130 Pe (Metodicheekle ukazantia
po proizvodstvu, geologo-razvedochnykh rabot, no.6). (MIELA 11:1)
(Ore deposits) (Prospectirg)l

i 1. .. ~i I
GINZBURG, Illya Isaakovich; SMIRNOV , redaktor; GODOVIKOVA, L.A.,
redaktor izda tell stvi? 4&TIk*A-. tekhnicheskiy redaktor
C&rperience in the development of theoretical principles for
geochemical methods of prospecting for nonferrous and rare
metals] Opyt razrabotki teoreticheekikh o8nov geokhimicheakikh
metodov poiskov rud tsvetnykh i redkikh metallov. Moskva, Goa.
nauchno-tekhn. izd-vo lit-ry po geol. t okhrane nedr. 1957. 298 p.
(Prospecting) (MLPA 10:8)

1 3 7 - 5 8 --": -
Translation from Referativnyy zhurnal. Metallurgiya, 1958, Nr 4 p 66 fUSSR.)
A UTFIOR Smirnov, V. 1.
TITLE- 40 Year~i of Developt-rient. o( Copper and Nickel IMetaillurgy in
the USSR (Raz,,.itiye metallurgii rnedi i nikelya v SSSR za 40 Ief)
PERIODICAL. BYLII. tsvetn. metallurgi-J, 1957, Nr 19-20, pp 40-45
ABSTRACT- Bibliographic enfry
Mp-ta.1-11,,,rgy--Deveiepment--TJSS.R 2 1 per-ApplIca
-opr
Wckel-Appi-JI-catioDs
Card 1/1

136-10-
3/13
AUTHOR: Smirnov, V.I.
TITLE: Scientific Developments in the Field of the Metallurgy-of
Heavy Non-Ferrous Metals in the Forty Years of Soviet Rule
(Razvitiye nauki v oblasti metallur~'11 tyaz.helykh tsvetnykh
metallov za 40 let sovetskoy vlasti)
PE-RIODICAL:TsvetWe Metallyl 1957, Nr 10, pp-.15-23 (U3SR)
ABSTRACT: After a brief review of the development of the non-ferrous
metals industry and its scientific services the author out-
lines the"cardinal features of Soviet practic 'e in the pro-
duction of copper, lead, zinc, nickel, cobalt. Among
exampled original Soviet contributiobs he cites the extract-
ion of cobalt from nickel-works converter slags, fluidized-
bed roasting and sulphatization of complex materials, and
states that works planning and the training of -rulmerous en-
gineers and designers have been carried out in sp!,~cial in-
3titutes founded in the early years of the regime. In the
development in the USSR of the science of heavy non-ferrous
metals the author distinguishes three periods,. the first, in
the twenties, when old copper-smelting works were being
repaired and started, and there were no special research
Card 1/2

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