SCIENTIFIC ABSTRACT VINOGRAD, M.I. - VINOGRAD-FINKEL, F.R.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001859910004-4
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 1, 2001
• Sequence Number: 4
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

VINOGRAD, M.I.; KISKMA, S.A.; "NOVA, A.K.
Accuracy of a quantitative evaluation of the contamination of
tool by inclusions. Zav.lab. 26 no.9slo86-1088 160.
(MIRA 13:9)
:. TS~otrallnyy nauchno-iseledovatellskiy institut chernoy
etallurgit im. I.P.Bardina.
(Steel--Testing)

XALININA, Zoya Miklmylovna; EPARANSKIT, T.G., rateenzent; YYwmD,-N-,.,
red.; SYRCHIHA, X.M., rod,isd-va; TURXINA, Ye.D., takhn.red.
[Defects of alloyed steel] Defekty legirovennykh stalsi.
Sverdlovsk. Goo.nauchno-takhn.izd-vo lit-ry po chernoi I
tsvetnoi metallurgii, Sverdlovskos otd-nis, 1960. 247 p.
(KIRA 14:3)
(Steel alloys--Defects)

V /V 0 C_ r(- 1:2 b j
~)n-i5 Ewr(d)1F,,'r(m)1r:Vre(c)1E;~A (d)/Ei~,?(V)/r-2/E'~,?(t)/E*iiPtk)/E'if?(b)/E*,IP(1 )
-:CZ4ZION NR Am4o46730 BOOK EXPWITATION Pf-4 WW/JD/ S/
UU
Zamarins A, M,j ad, (Corresponding m4mber, Academy of Sciences, U.S.S.R.)gvll
Steel production; handbook (Staloplavilluoyo proizvodatvo; spravochnik),
to 2., Moscow, Izd-vo "Metallurgiya". 1964, 1039 p. illua., biblio.,
tables. Errata @lip inserted. 5,850 copies printed.
TOPIC TAGS: steel, open-heart furnace, quality control, refractory
TABLE OF CONTSIM Cabridgedltj(
Part 8. Thermal engineering
Ch. XV, Fuel and its combustion in an open-hearth furnace (No 1.
IvAnov) -- 535
C4. XV-'. Mechanics of furnace geese in open-hearth furnaces (Go M.
GI'L-1,00 -- 554
Ch. Y"1;1. Heat tranafor in an open-hearth furnac 0 (S'S. Magidno 575
Cho XVIII. Thermal operation of an open-hearth furj~a_ce (Yo. k. Kapustip)
603
Ch. XXX. Auxiliary thermal equipment in steel production (B. G. TurovekjD

IL 17595-65
ACCESSION NR Ax4046730
Part 9o Thermal processes
Ch. XX. Automatic control and regulation of thermal processes in steel
production (A. P. Kopolovich, A. P. Sinchuk, and M. A. LOV V) -- 63o
Ch. XXI. Evaporative cooling of open-hearth furnacas S. 14. Andon'yoy)
720
Ch. xxir. Hot cooling of open-hearth furnaces (A. 1. Tyurin) __ 745
Ch. XXIII. Boilers of open-hearth furnaces (A. I. -11crozhinalkiy) -- 754
Ch. XXIV. Cooling and cleaning convertor gAooa U. I. Bar-a-zIrnakiy) -- 778
Ch. XXV. Supplying steelmaking ahopo with compressed air (G. A. Timochko)
793
Ch. XXVI. Supplying steelmaking shops with oil (G. A. Timoshko) -- 807
Part 10. Methods of quality control and testing
Ch. XXVII. Chemical analyain (P. Ya. Yakavlov) 818
Ch. XXVIII. Spectral an&lyoia (11' N. Sorokira 840
Ch. XXIX. Melting and delivered-quality control of steel (H. 1. Vinograd)
851
Ch. XXX.:; Mechanical testing of metals (P. G. Timoshuk) -- 868
Ch. XXXI4 Analysis of gases in metals arid a;.loys tL_._L.Kunin, T. Ya.
lzmanova, aAd Ye. M. ChistZakova) -r 887
Ch-. XXXII. Determining nonmetallic inclusions and carbide@ (M. M. Shapiro)
Co,d 213

L 17595-65
.ACCESSION NR AM4046730
Ch. XXXIII. Defectoncopy, (V. S. Tokmakov) -- 910
Ch. XXXIV. Use of radioactive isotopes to study the processes of steel
production -- 924
Part 11. Design
Ch. XXXV. Design of steelmaking ahopa!(O. A. Garbuz and D. T. Martainkovakiy)
.. 932
Part 12. Economics
Ch. XXXVI. Technical-economic Indicators of steel production (G. V. Vitin
and A. G. Lifshita) -- 956
Part 15. Transportation, refractories, oxygen, classification and
characteristics of steels
Ch. XXXVII. Transportation (S. 5 *Borlyand) -- 980
Ch. XXXVIII. Refractories K-A. Lur:Zo) -- 993
Ch. XXXIX. OxigerAD. L. Glizmans;%ko) -- 1009
Ch. XL. Cla-a-a-MRation and char;_c'~:;_ri8tIcs of to 1(N. V. Maiyushina)
1020 '"OIL
SUB CODEt HK SUBMiTTEDI 3OK&y64 NR REY SOVs 279
OTHERs 030
Card 3/3

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VINOGRAD, P.B,: GROBKAN, D.M,
-
Fromer's distinction problems. Usp. mat. nauk 12 n6.5:191-195 157
(Mathematical analysis) (MIRA lOrli)

vil-MRAD, R. S.
VINOGRa, R. ~;., I MUROMOV, V. S.
36077 0 KritichesZoy glub!Lvw Krivoliraywgo potoks. Gidrotekhn. strait-vo, 1949.
no. n, s. io-ii.
SO: lAtopial ZhurrAal Mkh Stat4W, No. 49, 19"

71
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777
EFI,X ISM.
f 71 W f t ~dl - (Xx. -J)
ci 7A

I-- ~ ;. . I_,, 11 0. a
1191vto Examples of Three -Dimensional Manifolds," Usp. Mat. Nauk. Vol. US No. 4 (44),
pp 193-220) 1951.
U-1735, 16 Jan 52

AUTHORs ..Vinograd, R.E. (MOSCOW) 20-119-3-3/65
TITLEs C(~njugate Norms 0 yapunov (Sopryazhennyyc normy Lyapunova)
PERIODICALs Doklady Akademii Nauk, 1958, Vol 119p Nr 3, PP 415-417 (USSR)
ABSTRAM Let En _ IxJ and P - JzJ be conjugate Euclidean spaces;
a base in En, Z - zlp#'slzn a base in iR ;
X a x
""'X
n
1
6
(XqZ) is a conjugate pair of bases, if (x ilzi ) .
ij oa(x)
is a X -norm in En, r(z) a A -norm in En (abstract defini-
tion of the A -norm see Bogdanov [Ref 1] ). Thea and r are
Z 1 it f Ollows LO (xj)+ r(zi) ;/, 0'
conjugate, if from (x
i
i = 1,29...,n .
Six theorems are announced without proof, e.G.: Theorems For
given W(x) and r(z) there always exists a binormal con-
jugate pair of bases, i.e. a pair of bases (X,Z) so that X
is a A -base in En with regard to.ul(x) and Z is simultaneous-
ly a A -base in RE with regard to r(z)..
Z and let A4, be
Theorems Let be max P-)(xi) +r(zi)] - owx
,
the minimum i
of /tt X'z taken over all conjugate pairs (X,Z). Then it is
Card 1/2

Conjugate Norms of Lyapunov 20-119-3-3165
n
/4A, X'Z always if X or 2 are A -bases in E and E
respectively. There are 3 references, 2 of which are Soviet,
and 1 German#
ASSOCIATIONt-Moacovskiy aviatsionnyy tekhnologicheekiy inatitut (Moscow
Aviation-Technological Institute)
PRESENTEDs November 15) 1957,
by I.G.Petrovskiyt Academician
SUBMIT-TED% November, 11, 1957
Card 2/2

lert~~in Prcblrr-,s of --t-ibility Accordir- a
Sub 9 A-~j-" -'-'ci 4c-,~ In.-A of
Order of lenin St, te U iuicni 'I. Lorlonosov. (Disc ert.-ti-nn for the
D-,-ree of Candidate in Physicomathematical Sciences).
Vechernaya -oslrva Jnnuary-Derembor 19',-~2

ussR/mathemtics - Approzination,, Suc- 21 Mar 52
cessive
"Process of Successive Appratimstions for Finding
the gigenralues and Eigenvectors," N. AftLelsv,
.r.. Vinograd, Inst of Math and Meeb, Moscow State U
inami MiTnosov
"Dok Ak Nauk ssn" Vol LM=) No 2, PP 173, 174
Acknmledges utilizing the method Of Successive
approximations for tl~e soln of systems of linear
eqs vt4ch vas expounded in an unpublished rvpor
csf A. M. Lopshits. Considers a linear operator A,
those symmetry is unpresumed, in a u.-dimensional
(reel'or complex) space. Subject process reduces,
for a sultAble choice of the nu.U approximation,
to any eigenvector of operator A. Clarifies the
nature of the ccnvergence. Submitted by Acad'I'. 0.
Petrovskiy 27 Jun 51.
214T%6

USSR /Jbthenatics - Stability .11 fty 52
"A Criterion of Instability in the Sense of
Liapounoff of the Solutions of a Linear System
of Ordinary Differential Equations," R. E.
Vinograd, Inst of Nixth and Wch, Moscow State U
1--ni Lomonosov
"Dok Ak Nauk SSSR" vol 84, No 2, pp 201-204
Considers the stability of the solns of the
trical eq y' a AWY. States that its stability
can be studied in the special case where A(t) -
const by investigation of the eigenvalues in the
231T69
elementary divisors of the matrix A; however,
article states, this method is inapplicable for
variable AW, as shown in e -'es given by
K. P. Persidskiy ("Dissertation," 1946).. (iNw-
sidskiy's exanples are given in present article.
Also states that B. P. Demidovich has shown that
all solns of y' - Ay are simultaneously stable
or not (cf. "Matemat Sbor" 28, 3, 1951). Scub-
mitted by Acad 1. G. Petrovsk-ly 12 Mar 52.
2311R64

MOORAD j R. Ye.
Differential Equations, 11near
Some criteria of boundedness of solutions of a system of two linear differential equa-
tions. Dokl. AN SSSR, 85, No. 2, 1952
9. Monthl List of Russian Accessions, Library of Congress, November 1952 mm, unci.

N -, I ( I, I , ) - a
ll~'~ 11 ~. I ! .1
- , 1\ I , ---~ " ~ ~ -, ll~ I L
, I i
I -
.~l

- - - t ,
:~~ -I V ; I , , , -

P:. edness of solutions of regulrr
atfons with small added terms.
I .4p lit \1,i it fit no PS31, 115 IN 110~i~
N LI,SL~ 11
i he auih")., the vcctu, -i-nalf Ir. equativil
X` -A WX tf (1, X),
wheref(l,0)=O, and 11f(j, xj)-f(l, xj)jj j1'~j(f)jjxj -rig with
f~g(f)dl < -o. A nuiriber of cases where the boundednem of
solutions of the linear system entails the &arne propertv of
the nontinear systein are dicA-u,;EkA, and an ex.Imple, in the
case of variable it (1), whort- this (foes not hold.
R. .9eibnats (Santa Monica, Calif
IF

Vinoprad, R. P... Negative solution of a question on $"-
bility of characteristic exponent" of regular systems.
Akad. r4uk SSSR. Priki. Mat. Meh. 17, 645-650 (1953).
(Russiat.)
Theauthor shows that the characteristic exponents of the
solutions of the nonlinear systern s'-A (I)s+F(I, s) are not
equivalent to thosd of the linear system s'-A (o)z for un.
restrictedvariable matrices A (1), even under strong assump.
tions concerning the order of smallness of the nonlinear
term F(t, z), R. Bellman (Santa Monica, Calif.).

V DIOGIRAD, R. v-. I I A,,, 6 " 3
USSR/Math - 1Mztr-*x Eqs
"Instability of the Characteristic Indices of Regular Systems, " R. E. Vino&rad
DAV SSSR, Vol 91, IT,) 5, pp 999-1002
Discusses the relation between the solutions of the rcgulnr system z' = A(t)z and the
solutions of the aumented- system z' - [1k(t) I EB(t)3z for small f and the usup-1
assumDtions of boundedness and contl:;uity of the matrices A,B. Presented by Acad A. N.
Xolmogorov 11 Jun 53.
26CT83

USSR/Mathematics - Doctoral Dissertation
Card 1/1
Author : Vinograd, R. E.
Title : An assertion of K. P. Persidskiy
Periodical : Usp. mat. nauk, 9, No 2(6o), 125-128, 1954
Abstract : Discussion of a theorem in K. P. Persidskiy's doctoral dissertation
entitled "0 kharakteristicheskikh chislakh differentsiallnykh uraveniy"
(Concerning the characteristic numbers of differential equations),
1946., which also appeared in Izvestiya AN Kazakh SSR, No 1 (1947). The
theorem concerns the comparison of the characteristic numbers (indices)
of the two systems of differential equations V a .%(t)x and y' = A.,(t)y,
where the matrix A.T(t) coincides with A(t) in the interval (0',) and
possesses periodic extension; the case v-*oo is studied. Three USSR
references.
Submitted July 1, 1953

USSR/Mathematics - Stability
Card 1/1
Author ! Vinograd, R. E.
Title : New demonstration of Perron's theorem and certain properties of
normal systems
Periodical : Usp. mat. nauk, 9, Nc 2(60), 129-136, 1951,
Abstract : Simplifies Perron's demonstration of the theorem that there exists a
unitary transformation x U(t)y which reduces the linear system of
differential equations xI A(t)x to the form y z S(t)y, where S(t)
is a triangular matrix. Also obtains certain properties of regular
systems which supplement the theorem. Such a transformation is
essential in the study of the stability of solutions of xI = A(t)x+f(t,x)
Reference: S. P. Diliberto, On systems of ordinary differential equa-
tions, Contributions to the theory of nonlinear oscillations, 1950.
Submitted February 20, 1953

UM/Hathematics Singular Foints
card 1/1 Pub. 22 4/51
.Authors I Vinognad., R. E.
. I - I a, - VA M-Owl ~
Title I A comment on a critical case of the stability of a singular point ona plane
PeriodiCal I Dok, M4 S3SR 101/2, 209-212, Mar 11, 1955
-Abstraot I A series of theorems is prenented for the purpose of showing a new method
of analysis of the atabilitv (in the light of Lyapunorls theory) or sin-
gular points on a plane. One ~'!.23R reference (191f2). Grdpha.
institution: Mining Institute, Tula
Prusented by: Lcademician A. N. Kolxiogorov, Ducenbcr 14, 1-954

VINOGRAD,R.B.
Instability of minor characteristic Indexes In a proper system.
Dokl. AN SSS 103 no.4:541-544 Ag'55- (MIRA 8:11)
1. Tul'skly Cornyy institut. Predstavleno akademikom I.G.Petrov-
skim.
(Calculus, Integral)

SUBJECT USSR/MATHEMATICS/Differantial equations CARD 1/2 PG - 12 4
AUTHOR VINOGRAD R.E.
TITLE Necessary aT sufficient criteria for the behavior of the
solutions of a regalary system.
PERIODICAL Mat. Sbornik, n. Sur. 38,L 23-50 (1956)
reviewed 7/1956
The author 'm roves the results of an earlier paper.(`Uapechi.Mat.Nauk.2.,_
129-136 (1954 ). He treats the "regularity" of the (vectorially writt "n
system yl A t)y, where the matri-x A(t) sball have bounded elements, Beside
of the notions of the earlier paper there appear the Gram's determinants
Gilp ...V of the vectors Y,114-yi The author considers a fundamental
:Lk k *
system of solutions 71,...,7 n with the corresponding characteristic exponent~a
N i .= X( Vyij ). Let the veotors decrmpose into groups such that for every
group holds
NA +1
q-1 nq-, aq q
Now the author showes For.the regularity of the initial system it is sufficient
that every group Yn W ... t-ynq has a Gram's determinant G for which there
exists x [G] and equals (n -nq-.1) Aft-q. Then the f-andamental system ~7il is

Mat. Sbornik, n. Ser. 18., 23-50 (1956) CARD 2/2 PG - 124
normal and the numbers -Ai are Its axaLt Qhara3teristic exponents (i.e. with
"lim" instead of I'lim sup"). Paxther it Js Bhowni Ttc system is regular t*.111-Irl
and only then if for-all. Gtam's determlnartu (K..,p2p ... pn) there
exists A(G] . For the proofs the aathor essenrially uses the theorem of
Perron (transformation of the system In x' - P(t)x with the triangular
matrix P(t)).and auxiliary theorems an the behavior of -1 t p(t)dt. By
t
counterexamples it is shown that the asSUMDZions of the first theorem car.
not be diminished essential1y.

0 :~A,4 tr
- - -------- - ---- ---- -------
v,,imuslicher-il-Ah. Uon~L.
f jile WFtwr

V INOGM, R - I-,-(M2&krA) -
Inapplicability of the method of characteristic values to the
atudr of nonlinear differential equations. Hat.obor. 41(83)
no.4;431-438 AP 157. (MLRA 10-7)
(Differential equations)

AUTHOR: Vinograd, R.B. (Moscow) 39-2-4/6
TITLE: On the Central Characteristic Index of a System of Diff-
erential Equations. (0 tsentr;TEm kharakteristicheskom
pokazatele sistemy differentsia:fnykh uravneniy)
PERIODICAL: Matematicheskiy Sbornik, 1957 Vol.42(84) No.2
pp. k7 - 222 (US'SR)
ABSTRACT: Consider an n-th order system of linear differential
equations, eq. (1) with a piece-wise, continuous, Ingeneral,
complex matrix A(t) which is bounded for 0 t
sup JAMI = M