SCIENTIFIC ABSTRACT VERTKINA, V.N. - VERTMAN, A.A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001859530002-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 99
• Document Creation Date: November 2, 2016
• Document Release Date: September 1, 2001
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

K.T.; 'T it-M, I'll, Y. '4~' .
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r; f c 3 ir v oj r d ; u Il A- -,r .3 7 f, . . - - ~, kho4. i,", r. . -, %;,-. l;-3.
I - .- -
(mur 1-,:20)

VMKIKA, V. N.
"On the Reaction Between the Aromatic Dian-ines and Dicarboy-111c Acids. IL Reaction of
Benzidi-ae with Phtalic Anbydride.11 Foray-Koshitz) B. A.,and Vertkina, V. H. (p. 365)
SO: Journal of General Chemis (Zhurnal Obshchei Khimii) 1941~2 Volume 14, no. 4-5,

USSR,", heralstry
Card 1/1
Authqrs : Poray-Koshits, B. A.; Efros, L. S.; Vertkina, 7. N.;, and Lutsenko, V. V.
Title : Winaldine derivatives obtained from aromatic amines and simple "l
ethers
Periodtcal : Zhur. Ob. Khim. 24, Ed. 5, 895 - 898, ~~y 1954
A t' ri t' Quinaltilne is a valuable IntormeOiate product used in the synthesis of
iciJ -LT-,ri c '-,anin~l IYR!3. -'~e rear-ti-m of prIm-Ary ar---It4c
9 f~ n-, I P a-, T -ir,; bs~ t ~-,P werqra I ir-t
r. ic, I r
ma t i~rp t -r i T- 3 1 n e
4, 1 - 1
illy
since IPP3.
I ~rrad, The A. F. Fora~,-Kcshits
Institution: The Lensovic-I.- Techrclogical Inatitiate, Lonirr
-lea
Technolog .1
Sui:mit-ted 1953

A-1111A
to fli
2 - -i:
of it
00, ;!
oo i It Radclieftill blivilloillitor with
N W A. loccof Kilitili itim %', N, loIrvtkuts, J";Oo' l'6PML
it? %-% W) 141 AM,
go@ 'i ;"' "" """ mott.. I (I(ki g.) weal. treated vvith to it. 11; the tv."
is, lZilt. -- Athrific anhydride if) 114.4 g. In IN) tv. 'S#COi
1101 Will wag treated with 9.2 it. bensloreut (II-i in d,Ixt. wait tjtd. with IU% %
gitto Yield 14.3
IVi cc. R10111 to irieM 23.8 s. mixed nivokopiltbeloyllienel- trintAirPAtimil.
Five &.4 nit rri-I -a ruinotholphornirl and 4 g. I of it md"'M
i dine. m. :110", arid difilithaittyllienAline. m. atwovit 307*' t. Tj'I'I M%
00 'r Ph'4161o. flit I- its liml IV. MINNI"
its. 311-21~ lo,111clition with pt-2a -10A In
wlth'h twols M..)sjW*I *ilk the 41KIve ArOll solve a IvIlls *,hA flit "At -Ill Ill"duct id"ticist W "h
which apparently is 41'-amino-
Ill 4 IIJU J14 'Mgt treated KnkfUAUY Withh)#. '47,h't litill.1,44plielkyj haVillit 0 110%~UA10419411103 AMIM)
1. the melt ws* Moll"). vinind. Simi t"Ied with V1014 to
Orid a r"idur of [(I K- lot. :Krl* 11"'up. 1 (26.0g.? aft-1:01,9g. It wrtc ttilust.1 to 41101.1orc.
water for 9 hr.. to riew Al, Jr.
i (M. -'WFJ* fto;lt PIINChl; the .1l n,, 1W 11;
eow iI.ror-1, shluttigh a flev %*If, Knolls- V1,61f. a, 41us% it lov ftwins -
It- (after I'lWalm Cly,it". t-w Itaft, m,
i ti"n 440 b'"SY144twoltrif hy wribilind with 11811. oil 'I'll
001111 ! fr,~nf`lll 11 (All lij wag IrvAtell wilh A a. diplithooloyllwast-linor.
ettooled, &old tivated with full V1011 toyitld monuothalml-
bentiline. Similarly. amopht haWyllocrolklift awi moll M
I ykhl the iliphthaloIrlborn sill kite, 4X-liphtlisfinsidulti-
0. Xt. Knotrootalwiff
I low so- 10%V
a .6 ilk a 4~ a 3 1 or
AV to It
twoctito6i fit it a Kern Itstmon Ila
a 0 0 0 0 0 0 0 0 0 0 0 0 * 0 0 0 * 0 0 0 4 0 0 0 0 * 0 0 0 0
a *:* 000 0 0 0 0 W 0 41-0 ol 460600L~000*0
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V5~M*R*J-DIRABURG, X*S., kind. khim. nauk; MAZALI, R.F.;
r-I KARITANOTNAU, IC.Tu.; ?MAY-KOSHITSe B.A., prof.; ULIYAN, K.A.;
WWS, L.S., prof.
Dmiopments In,ths' synthesis of direct dyes. Xhim. nauka i prom.
3 no'W91-212 158. (KIU 11:6)
(Azo dyes)

t
\ /,-:: (-) 7- ~~ .1 ~', t ~ ~';

- I I -
~. I .-I

M.

-rfflPvA. Y. - W.
PORAY-KOSHITS, B.A.; MOS, L.S.; MTXINA, V.N.; LUTSINKO, V.V.
Preparation of quinaldins derivatives from aromatic amines and vi-
nyl others. Zhur.ob.khlm. 24 no.5:895-898 My 154. (MLRA 7:8)
1. Laboratoriya takhnologii organicheskikh krasitaley im. A.Te.Po-
ray-Koshitea Leningradskogo takhnologichaskogo Instituta im. Len-
soveta.
(Quinaldins) (Amines) (Ithars)

CARPIVISANJ Olimpia, ing.,- TAFIAN, Mircea, chim.; DAN, V., ing.;
BESLIU, L., ing.; KABA, E., ing.; VERTIEN, P., ing.; DAVID, V., ing.
Experiments for utilizing the hydracyanic acid from the
coke gas. Metalurgia Rum 15 no-5:348-352 My 163.

KCIVAZHENKOV, A.V.. kandidat tekbnicbe9kIkb nauk; PUOOj A.M., kornyy
inzbener; DOKS, M.Te,, gorrqy Inzhener; VZRTLNBI L.K.i gornyy
inzhener. NUMMISM119 '.
Results obtained in converting a quartzite mine to sbort-delay
blasting.. Gor. zhur*' no.4:54-60 Ap '57- KRA 10:5)
1. Institut gornogo dela Akademii nauk SSSR (for Kovazhenkov. Pugo)
2. kombinat KMAruda (for Doks, Vertleyb).'
(Blasting)

. / -, - ,, ! " - , .-- - / I
L, C~ ; - ,, - - ,
PASSIK# M*A,; V3RTLEYB, L,K,
Combino;A'm'e't~od for blasting holes. Biul. T.SNIIM no.2:40-41 '58.
(Blasting) (Mining onginooring) (MRA 1115)

- -... I . 'W.
VERMS, S. 3 -
Storage Batteries.
Uge of iron-nickel storage batteries in electric power stations and substations;
Energ. biul. no. 12, 1951.
9. Monthl List of Russian Accessions, Library of Congress, May 1951,2Uncl.

. 1-4 - 9.4
VMTL:mp t. S.
Ziectric Power Stations.
Use of iron-nickel storage batteries in electric power stations and substations,
Energ. biuly no. 120 1951-
9. Monthl List of Russian Accessions, Library of Congress, May 195Y2 Uncl.

-- - -- --- ---.--VERTLIB,-Ya.M.- -- --- - -- - . ----
Chronic suppurative otitis media and tumor simulating contralateral
abeeas of the brain. Vest. otorin. 22 no-4:88-89 -Te-Ag 160#
(MIRA 13;12)
(BRAIN--ABSCESS) (EAR-DISEASES)

VERTLIB, Ya.M. - I
Otogenic liquorrhea. Zhur. ush.,, nos. i gorl.bol. 22 no.1:83-94
Ja-F 162. (MIRA 15: 5)
1. Iz otdoleniya bolezney uklia., gorla i nosa (zav. - A.V.Tonyayev)
Ullyanovskoy oblastnoy bollaitsy.
(W,DISEASZS) (CEREBROSPIVAL FLUID)

YEVDOKIMOVv P,P.I, VERTLIB9 Ya,M. (Ullyanovsk)
Otitis and allergy. Out-of-town conference of the Moscow Institute
for Diseases of the Ear, Throat~ and Nose. Kaz, mod, zhur.
no. 2:103-104 Mr-Ap 161. (MIRA 14:4)
(EAR-DISEASES) (ALLERGY)

L 00740-M EWT(x)/EPT(C)/T EWIDJ'
ACCESSION NR: AP5021990
A
AUTHORt G4rzanov. G. Ye.j VInner, G.
UP40266/65/000/014/0065/0065
665.4/.5A .
Naloletkow To. K ; Bo
Uvanchik.- Ta. P r. gdanovl Sh.-K.,
77 1
Granat.
T. P#j
,I
A. ".I Sulantsevat
r Gussan. H. a. I �hAns, F. T ~ so!jrnov,
,f --4y 17 YL
TITLE1 A method for producing hydraulic fluid.' Class 23, No. 172947
SOURCES nyullaten' Lzobrqtoniy I tovamykh snakov, no. 14, 1"59 65
TOPIC TAGSj hydraulic fluid, petroleum product
ABSTRACT: This Author's Certificate introduces a method for producing hydraulic
fluid based an petroleum products. The efficiency of the fluid at low tempera-
tures is improved by using a volosite distillate with 4 flesh point of LIS-1200C
and a viscosity of less than 2200 centistokes at -400C.
ASSOCIATIONt Vauchno-Issledovatellskly Institut organizatall, sekhanizatsill
Card

L 0076044
ACCESSION MRS AIPS021290
StMNITTEW I'MuS64 lXCLs 00 SUB Covel rp
vo mer wvt ooo amll 000

VIRTLIB, Ya.Ye.; GRUSHMVMMO, V. I.; FAVIDTA., I.F,
Axperimental Industrial allwlation of pbsnol In the
presence of the KU-2 cation exchange resin. Xbim.i tekh,
toplai masel 5 no.5:12-16 My 160. MU 13:7)
1, Taroslavskiy neftepererabatyvay-ushchiy savod im. D.Z.
Mendeleyeva.
(Phenol) (AlIqlation)

5/180/62/000/006/00VO22
E193/E383

-AUTHORS: Vertman A.A., Samarin, A.M. and Filippov, Ye.S,
(Moscowt
TITLE: Viscosity and electrical conductivity of liquid
nickel-carbon alloys
PERIODICAL: Akademiya nauk SSSR. Izvestiya. Otdoleniye
tekhnicheskikh nauk. Metallurgiya i toplivo,
no. 6, 1962, 37 - 42
TEXT: in continuation of an earlier work (Izv. AN SSSR, OTN,
Metallurgiya i toplivo, 1960, no. 6, 162-167) the authors have
determined the concentration-dependence of viscosity and elec-
trical conductivity of liquid nickel-carbon alloys in the 0-2-3%
carbon range.- The results are reproduced in Fig. 4, where. the
viscojity (-~, contistokes') and electrical resistivity p4jdm)
of the alloys-at temperatures indicated by each curve are plotted
against the' carbon content (C, wto%) of the alloy. Since it had
been shown earlier (Y.M. Glazov, A.A. Vertman - Sb. Stroyeniye i
avoystv vhidkikh'metallov (Symposium. Structure and properties
of liquid metals), Izd-vo AN SSSR, 1960, 124-137) that the via-
Cosit sotherms of eutectiferous systems passed through a
C
d
ar

s/i8o/62/Ooo/oo6/ooi/022
Viscosity and ease 2193/E383
minimum at the eutectic composition (i.e. in ~he alloy in which
the relatively weaker forces binding dissimilar atoms prodominatedX
the curves reproduced in Fig. 4 indicated that the Ni-C eutectic
was formed at 1.35% against,the published :value of 2.0-2-5% C. The
constitution diagram of the M-C system was therefore reinvestigated
by thermal and metallographic analysis; ' the results showed that
the eutectic was, in fact, formed at approximately 1-3-1-4% C-
It was concluded, consequently, that the minima an the viscosity
and electrical-~;resistivity isotherms were associated with the facts/
that the short-range orderinherent in solid eutectic alloyq was
retained on melting; increasing the concentration of either Ni
or C in the alloy brought about an increase in the proportion of
the relatively stronger forces between'similar atoms which, in
turn, increased the viscosity of the alloy. The existence of
viscosity hysteresis was also established. This effect was
attributed to the existence of microscopic arrays of C atoms in
the alloy-, those dissolved partially on melting, as a,rasult of
which their sizo during subsequent cooling was smaller than during.
heating, this difference being reflected in the 'viscosity of the,
alloy,. The presence of a shqrp minimum in the concentration-'
Card ZA

s/18062/ooo/oWool/022
Viscosity and .... F,193/9383
dependence of the activation energy for the viscous flow of Ni-C
alloys.was also'attributed to the effect of microscopic arrays of
C atoms. The. conc entration-dependaftc e of the ratio
TB
(where and CTB denote, respectively-, reBiStiVJLty Of the
allay in the liquid and solid states at the eutectic temperature)
was also determined. The value of CTB , practically constant
in the hypo-cutectic alloys, increased sharply in the hyper-
e.Utectic range. This effect was attributed to partial dissolution
of the carbon micro-arrays on melting. The general conclusion was
.,that.the formation of carbon micro-arrays wa4-a property common
!to-all three systems of the Ni-C iyatem which represent a limiting
case of microheterogeneous -eutectic alloys, with projperties,
approaching those of' a colloidal soiu'tion. There'are 7 figures6
SUBMITTED: may 8, 1962
Card 3/4

.Viscosity and ....
Fig. -11:
Y,

MSO,
ff iFa

IS6

J.

s/18o/62/000/006/001/022
BILO/E383

'777~,
-.: I

Card

L 19686-63 Z;iP (q)/EWT (m)/BDS/SPT(n)-2/E.-JT (B)ILS (v)/-!:'PR AIF.FTC/A$D
Scs,6- Pu-4/Pe-4/Ps-4 ' IW7W1JD1XVI1JG1JT
ACCEPSION NR: AP3005832 S/0279/63/000/004/0175/0176,---
AUTHOR: Vertman, A.
TITLE.: Seminaron the problems of research on therrnophy
properties of substances at high temperatures [Held at Novosibirsk,
-.0 April 19631
SOURCE: AN SSSR. Izvestiya. Metallurgiya i gornoye delo, no. 4,
1963, 175 176
TOPIC TAGS: matal, alkali metal, refractory natal. high tempera-
ture specific heat; high temperature heat conductivity, high tam-.!
paracure electric conductivity, liquid state theory, liquid state
physics, investipocive method, metal thernophysical property,_
alkali metal thermophysical property, refracto 1- thd-im-ophys-
ica.1 propor,V,_Jleat-ma-sa--L-xcii-an 6. 'd in fn' a r
MISTRACT; 'The fourth,Siberian seminar on hoat-mass exchanke was
haLd at the Institut toplofiziki SO AN SS R nat tute or-ho
-cs i n N ovo s ib i r s k , 9 - 10 Ap rtr-1-9-6-3 -.AU-6Vt-TO'O--
Card lit 4

L 1 Q'86- - 6
A C C 1. S S 1 ON 1: R: AP3005832---,-'
rep.-resantatives o fscientifi;2 research organizations from Moscow,
Leningrad, Kie,v,, and other cities participated in the seminar.
The keynote speaker., I. I. Novikov, Corresponding member, Academy
of Sciences SSSR,-stated that th~-main problems were the accumula-
tion of,.data on properties of substances at temperatures ranging
frota near absolute zero to that of plasma, development of essential-
ly new methods,of measuring properties of condensed phases at tem-
peratures up to 3000-5000C, and development of liquid state theory.
1%. N. Solov'yev (Novosibirsk) reported on the results of measuring
the electric conductivity of alkal-i---m-qta-~sl it temperatures up to
00,0G'. A. N; Solov'yev and A. B. Kaplun (Novosibirsk) described
the dependence of liquid metal ~~i sco6icy on volume and suggested
an improved formula for viscosity determination. Yu. S. Tralin
.(No.,"cow)'presented data on the velocity of sound in molten alkali
metals.. ..11cat conauctivity of tungsten. molybdenum, and nio'jium at
temperatures above 2000C was discussed by 0: A. Krayev and A. A.
Sri- "makh (Novosibirsk)-. A. A. Vartman (*Hoscow) described methods
of investigation of viscosity, electric condUctivity, surface ten-
siori, density, magnetic susceptibility, specific heat, and mixing
Card 2/4

L-49686-63
AF CESSION NR; APX005832
hoat for molten iron alloys in the 1506-2000C range. 'A- n_q-mb a ro f"
re?orts , among then a report of Y.e.,_j __Elo;_un2v -(Le-nihr, - d) , dealt
experimen~-LI...method-s--of md'a' - - *
- j suring, specific hear.and hea, con-
du.privity of metals and nonmetallic- materials and described tI,_
copHidarabla advantagas of pulse mathods and also of the pliito-
grpphic method of temperature measurement. Ya. A. Kraftmakhor
(,,;ovosibirsk) measured the specific heat of tungsten at tempera-
t4res up to 3000C, molybdenum, up to 2200C, and niobLum, up to
2400C. A sharp increase in the rate of specific heat rise wi'th
temperature was ascribed to an increasing-number of vacancies.
P. Filij)pov, Yurch-ak, and Dy*gayskaya spoke on the funda-
-mentals of.measu_rTn_gsp6cific heat by the method of surface tem-
perature waves. The metho.d, in principle, can be applied to solid
as-well as to li~,-uid,'macals in a wide temperature range. E. V.
Matizen (Novosi 'b i i~-k)',: d 6 stribed a precisLon adiabatic highz'temnara-
ture calorine~a'r,,for,'date'tmination of thi,. specific heat of sub-.
stances at' tenpe-eaturcs*-~`U'P'to 2600C. V. V. Fesenko (Kiev) investi!
gated the haat'conductLvity OV-3tantalun and molybdanum`4arbides--'jin
the 25ob-3500C range. Professor S. S. Kutatel-a-d-ze, who directed
the work of the seminar, praised the higH ex-p--e-r-I'mental level of
Card 314

L 19686-63
ACCESSIO N NR: AP3005832'
works in the field of high temperature measurements, but noted a
lack of thoorati.cal and summarizing works dealing with the physics
of condensed systems and, particularly, of the liquid state.
ASS6CIATIONg -none
SUBMITTED: 00- DATE ACQ: llSep63 ENCL: 00
SUB CODE: MA ML NO REF SOV: 000 OTHER: 000
Card 4 4

VMMO Harietts.; KOVACS, S.
Heohanism of the hnpotWomic control of TSH neoretiont experimenta
in vitro* Act& physiolt &cad* aoi, Bmgo 26 no,4029-335 165
1. Institute of Physiolog7o 'University Medical Schoolt Pace*

KOVACS, S.; V!RTES
, Marietta
The effect of hypothalamic lesion on the biosynthesis of thyroid
hormones. Acta physiol. acad. sci.,hung. 23 no.l.-21-25 163.
1, Institute of Physiology, Medical University Pecs.
(ELECTROCOAGULATIOV) (HYPOTHALAMUS) (TYROSINE)
(IODINE ISOTOPFZ, DIAGNOSTIC) (THYROID.GLAND)

KOVACS#S*; S,M.; KOVISI,Gy.
2ffect of ivpothaumlc lesions on t ~1 activity of the pituitary-
thyroid sys-Ifeme 3xperimuts -1. 1 on the rate Acta pbysiol.
bmng. 17 no-3:295-300 160.
1, Institr.~e of Physiology, Medical Univernity, Pecs.
(HYPOTHALAMUS physiol)
(1CDINX metab)
(TMOID GLM pbysiol)
(PITUITARY GLAND ANTERICH physiol)

KOVACS, S.; 'VERTES, M.
The effect of posterior pituitary hormones on the function of the
anterior pituitary-thyroid system in vitro. Acts. physiol. akad. sci.
hung. 21 no.1:69-72 162.
1. Institute of Physiology, Medical University, Pecs.
(PITUITARY GLVi-D, POSTMIOR hormones)
(PITUITARY GLAND, ANTERIOR pbysiology)
(THYROID GLAND physiology)

VERTES,, 0. Andras (Budapest., B,,, Szalay u,10)
An 18th-century H%mgarian paper in psychology; an essay by
Kih&17 Fronius cu the wild man of Brasso, Magy pszichol szemle
17 noi,1:50-59 '60.
1. Magyar Tudomanyos Akademia llyelvtudoman Intezete (igazgato:
d.r. Nemeth Gyula egyatemi tanar, alademilcuor.

L 2A4 -~-66 -K~
ACC NP's AP6=672- SOURCE CODSt UR~0199/65/06gt6o3r,068-6-FO69-11
AUTHOM Vertroym, B# A*
ORGs
TITIL, t Som,3 -ways of linearization and approximate solution of nonlinear functional
equations
SOURCES Sibirskly matematicheskiy thurStal, v. 6, no- 3, 1965, 68"91
TOPIC TAGSt nonlinear equation, functional equation
wdr-
Is,-
ABSTRAM In this article so~*~methods an proposed and investigated for lineariza-
tion and solution of nonlinear equations which am olose to the tangent ad secant
methods, including mi:xed mathodso Th-F-ro"aMto obtained offer a basis for Convergence
of the two-dimensional analog of the secant nothodo which goes back to Gauss* The
diecusaion. is vrosentad in the form of a lemma, theorem, eM proofa Orig, art* hase
__22 formulas Zim-7
SUB CODES 22 SUM Mrst 22J=64 [-dtld R8Ft OTH MFt W2

r,., ar
xn a:-'.

cm-~ I r-E I I- v- - - I - - . . - - -
. U - r ~ v A , - -.- , - , , -- -11-11 1 - -, - - I ~ I - ;, I - , , I . , ~ , - , =

i
- I
i
I'm
. - I . I - I I., ~ -1
. I .

32480
1~, 14400 S/044/61/000/010/046/051
C111/C222
AUTHORt Vertgeym, B.A.
'Ic-
TITLEs Some theorems on the convergence of the method of Newton
PERIODICALs Referativnyy zhurnal. Matematika, no. 10, 1961, 41,
abstract 10 V 244. (I'Sb. nauchn. tr. Permsk. politekhn. in-t",
1960 , no. 7, vyp- 1, 3 - 28)
TEXT: According to the methods developed by L.V. Kantorovich the author
investigates the conditions of convergence of the method of Newton for
the functional equations P(x) - 0, where y - P(x) is a nonlinear
operation, x and y are elements of certain spaces X and Y of the type of
Banach. The author considers classes of equations characterized by one
of the following assumptions on 'the operation P 1 1) there exists the
Frechet derivative PI(x) satisfying the H61der condition
11 P, (XI) - P'(X2) 11 _4 K 11 x, - x 2 11 "'- 'where d,(C 4 c.-, 4 1 ) , and K are
certain constants ; 2) Pt(z) is continuous in the neighborhood of the
initial approximation. Results relating to this question are published
Card 1/5 e

Some theorems on the convergence ...
S/04 1~ 000/010/046/051
C111PC2822
in other papers of the author (R Zh Mat, 1958, 3304 ; 1959. 6022). The
method of Newton is applied to the system of differential equations
9 T d,? . 'D 4 3 . ~,LL)
x + Q ( "d x Y -5,y -7-x--~
, ? T T
A T IP
x Y y x
ghich describes a plane stationary convective motion of a fluid 011-:.
fills up a cylindric region ; the boundary conditions
Tj ht'(-.,) YJ I- - D Y I - - 0
n
are given on the boundary F of the plane region D (plane cylindric
section) .; here i T -- temperature, ~p - flow ftinction 1 i -- coordin-;tt.(-
of a point on the botj-Aaiy and h -- constants. Known reniiltq
Card 2/3

3200
S/044/61/000/010/046/051
Some theorems on the convergence ... CI11/C222
(Lineykin, P.S., Ob uravneniyakh teplovoy konvektsii LOn equations ot
heat convection] Prikl. matem. i mekhan. 1951, 15, 4) on the convergen:e
of succossive approximations for the equations of heat convection are
improved.
[Abstracter's note : Complete translation.]
Card 3/3

32525
3 's-v '? S/044/61/000/011/048/049
C111/C444
AUTHOR: Vertgeym, B. A.
TITLE: On the approximative solution of the equations of heat
convection
PERIODICAL: Referativnyy zhurnal, Matematika, no. 11, 1961, 43-44
abstract 11V249. (Sb. nauchn. tr. Permsk. gorm. in-t,
1959, no. 4, 67-78
TEXTt One describes the solution of the plane problem of statio-
nary convection in a homogeneous liquid which fills an horizontal
cylindric domain, where the temperature is given on the boundary. In
order to decide whether it is possible to apply the Newton method for
the determination of the convergence domain of the approximative
solution method the case is considered where the given domain is a
circle and where the temperature on the bounaary is linear distributed
under missing convection. The problem leads to a system of non-linear
integral equations which is understood as a functional equation in a
space of Banach type. The calculation can be reduced to the solution
of the harmonic and of the biharmonic ecuation in a circlf!, or one can
use different kinds of the modified successive approsimations of Newton.
Card 1/2

32525
S/044/61/000/011/046/045
On the approximative solution of . . . C11I/C444
The convergence of the approximative solutions to the solution of
the functional equation is proved, One estimates the norms of the
integral operators connectPd with the Green functions. Lf
EAbotrne,terlo note: Complete tranalution.]
Card 2/2

- tz
"On the question of the central interest of the perscnaIitY Of rdlo " - P. 57
Voyenno Meditsinskiy Zhurnal, No. 3, 1962

N;3
Nil
8!1
d
Aj
d:J

VERTGEYM, B. A., Cand Phys-Nath Sci -- (dins) "on Gortain
-. W--Mw~
Methods of the Approximate Solution of Nonlinear Functional
Equations." Molotov, 1957. 13 PP (Min of Higher Education
USSR, Molotov State Univ Im, A. M. Gorikiy), 100 copies.
Bibliography at the end of the text (11 titles). (KL, 47-57, 85)

AUTHORt Vertgeym, 20-119-1-2/52
TITLEs _& t~e ipproximate Construction of Certain Conformal Mappings
(0 priblizhennom postroyenii nekotorykh konformnykh otobrazheniy)
PERIODICALs Doklady Ikademii Nauk, 1958, Vol 119, Nr 1, pp 12-14 (USSR)
ABSTRLCT: The author considers the conformal mapping of the unit circle
jzI< 1 onto a domain of the w-plane which contains the origin
w0 - 0 and which is bounded by a simple closed, not star-shaped
contour L defined by the equation
W a exp Ifl(t) + if 2(t)1.
Here let f 1 aaf f2 be two times continuously differentiable,
f (t+2r-) - f (t+21t) (t)+21r, (fj)2+(f2,)2' 2 >0,
1 1(t)1 f2 f2 ;i:d
f"(t k-1,2.
k 1) - fk.'(t2)1 1