SCIENTIFIC ABSTRACT YEROKHIN, N.A. - YEROKHINA, A.A.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001962830002-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: April 3, 2001
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

ANUXOTI T4 $I uslilm"Jn0fi. T.Tjj "WISTAZIS, YoA,, redsk-tor;
FMUTilW,,-A.X., rodaktor: WRIJEOVA, Z.D., tolftlaaskly redaktor
[Bleassembling and assamblUe ths DY-24 treetarl Assbarks I sbarlm
traktorm W-249 Pod reds B.A.Sarktalenitses Moskn, Goveird-vo
sellkhosolit-pyo- 1957. 291 p. 10110)
(Tractors)

-MMaCHN, likolay Georglyevich; KUPUMUM, T.L*; IMCIPp T.T.;
EMLIKUT, SUNUMM. ".. tOkhA.VOd-
[Handbook for %IvorsalO W-249 T-26,j ?-,'= troutors]
9pravochnik po truktoram $Universal" W-249 T-28v T-2bN.
Moskva, Gos.Isd-ve ssl'kb*x.lIt-Vyq 2960. 225 p. (XIRA 13:12)
(Trectors)

YZROKHIN 11 G MTYNOVp D.I.; POIETAMp V.F.) HFROSj V.V.1-
S.A.; FWMAKOV~ A',Iop redej "ilt YMI-fop
fAhns reds
[Ifadermized T-29 row-crop tractors] Moderykikrovannye pro-
PO.LBbMYS traktory T-28. - Mookwip Iied-vo eellkboz. 31t-ryj
x1mmalov i pIWatovj, 1961-9 '279 Pe (MIRA 15 12)
(Traourm),

..... ......
IM I _I. m
Work reimIts. of the Novoolbilrek Intor-Prorima't Coiferewe on the Control of
I& "d 942minthl"is In eattonomms republLoOp' terr-Itarlee and -provinces
of the Vials, Siberia andthe Far Ust. Ned.parm.0*1. purazebole no.4:379-381
M.-Ag ";I. (KLPA 6:9)
(Warial favor), (Wormag Intestiml and parasitic)

YIIROOIN, VA.; SARIKA, I. I.; BMEMOVA, V.P.
lpid,odoloff of tick-borne encephalitis in lovkNilbirisk Province,
Kedspareso L paroselbols 2? no.100-33 A4 1580 '(MIRA 11:4)
lo Is *vosibirskay oblastuoy sanitarno-opidemiologlebaskoy stantsil
QlawrWy vr2ch X.V.Sunins, sav. pare st tologi chaskim otdolou N.M.
Yerokhin)
(=CWHALITIS,, opidatiolody
tlak-borns Oncephalitle (Ru))

Is, I.N.
ll-:.~~
Oomfolrouce on the eradication of fool of diOrlUbothrUslo In
lbwoolbirsk Provinces MWeparasel "so'bolo 26 so,6754-755
11-D $1F?,
(NMU 1314)
(NOVOSIBIRSK PWFIX&--VMNS, ZYMSTIML AWI PARASITIC)

TMOXHIN, N.M.1 OULYAYW, I.A.0 agroneal RUSINOVA, R-X)-, "iiahnyy
Arunne Collective Farm In tbe, Altai Terrltor7 Is striving for
bigher starAards of agriculture, Zenledolle 7 no.12t3O-33
1) 159. MIA 13:3)
2. Predoodatel V kolkhad Imoul Yrmo# iregoryowskogo rayomo
Altayokogo kraya (for Terokb1m). 2., Ulna I11+lftiis
Tojorlyowskor, ~--Axtmw*ep trove (for (kamov). 3. AltayelcIr
zomal1w nanobnoft-m lWimatellookly Inallitut l4a'skago khozya7stva
(for Rusinava).
(AILI&I Territory.-Colrectivo farm)

ACC NRt AP6013919 SOURCE 000at MII)207166/000/002/0025/0029
AUTHOR: Yerckhjg,,_jb_5_* (Novosibirsk); Adegavo B# irsibirsk)
ORG: none"
TITIX: Some characteristics of problems In magnetohythv0paimic stablifty theory re-
ducible to a differential equation In which the h1g5eit derivative haa an arbitrary
parameter
SOURCE: Zhurnal lprikladnoy makhaniki i takhnicheskoy fisikl,, no. 2, 1966, 25-29
rOPIC TAGS: sqpatchydrodynamice . Laplace equation , lmwr twdius, differential
tion
ABSTRACT: The authors study the asymptotic pt rtiesi of s6lutions for a fourth or-
der differential equation where the highest derivativet has an arbitrary parmeter. It
Is shown that aimAlarity of asymptotic behavior lis Independent of the value of this
parameter for values of the argument which give zero coefficients art the second deri-
The LaplAtce method is used in ccojunetion with the.:analy-tical properties of
the solutions to otudy the problem for various values of the given parameter. It Is
ishown that the solutions have convergent asymptotic properties to a certain degree for
arbitrary values of this parameter. Specific applications of the proposed theory
jwe considered with regard to the effect which a finite Larmor radius of the tons and
.Ord-1/2

F""MILIHIMMIa MIMMU
L 29600-"
ACC NRs AP60139 9 t-I
ion-ion viscosity have on the development of plasma butability Jn.a wgnetic field
due to longitudinal current. We thank G. K. Zaslavski
.y an for their
useful discussions, Orig. art. has: I figure, 11 formulas .

LM
YEROXHIN, F", 2 insh.; BOMAREVt G., inzh.
Contaotlems BNO magnetic regulAtor, PtomaAroto 5 noolt34,-36 A
162. (KM 15:2)
(ArmouLa,-Governors (Machinery)) (Wliog muhinery)

YERCKKIII, R. (S.Chelyabinek)
Antenna amplif tar. Reutto no.8:47 Aig '60. (Knu 13:9)
(Television) (Amplifiers (Blactranics))

28242
S/581/01/000/000/013/020
D299/D 504
AUTHORS: Rilsina, T.N. and Yerokhin, R.A.
TITLE: The distribution and excretion (if plutonium in dogs at
remote dates after its introduct;ion
SOURCE: Lebedinskiy, A.VP and Moskalev,'Yu..I!., eds. Biologiches-
k,oye deystviye radiataii i voprosy raspredeleniya radio-
aktivnykh izotopov; abornik rabot. ~10scow, Gosatomizdat,
1961p 119-127
TEXT: 'Me aim of the experiment was tP study the distribution
and excretion of plutonium in dogs at reatote dettes.after its intro-
duction, to derive mathematical equations covering the behavior of
plutonium in various organs and tissues imd to assess the possibility
of determining its total content from excretion data. The tests were
run on dogs injected intravenously with PuMi)4 solution. To simu-
late chronic radiation sickness the dogs were injected 4 times at
monthly intervals. The total dose of plutonium wan 0.2~c/kg of the
Card 1/4 1

i 2321s2
S/581/6L/000/000/013/020
The distribution and excretion... D299/0304
animal's weight. Plutonium distribution was studied 3, 6 and 11
months, and 3, 3.5 and 4 years after its introduction. Both expon-
ential. and power models were used for the mathematical description
of the behavior of plutonium in the body, tissues atul excreta, but
the exponential method was found to conform best with the experi-
mental findings. Mathematical calculation of the expressions was
accomplished by the method of least squares. The distribution of
plutonium in the body is shown in tabular and graphic form, broken
down into skeleton, liver,spleen, muscles, lungs, kidneys and other
organs, at the various stages of investiggition. The distibution
was as follows: skeleton 40%, liver 30%, muscles 2.41'a, spleen 2.3%,
lungs 0.4576, kidneys 0.36%. In all organa radioactivity decreased
with time. In the spleen it dropped to 0,49% by, the 600th day and
in the kidneys to 0.12% by the 1000th day. Subtiequently the pluto-
nium content in these organs remained coniltantO The data from the
excretion Of plutonium is broken down into 2 periods: 1) 2nd-23rd
day, 2) fran the 23rd day onwards. For the firt3t 3 weeks plutonium
excretion with the stools was higher than excretion with the urine.
Card 2/4

24124 2,
31581 1
./O1./000/000/013/020
The distribution and excretion.*. D299/D304
At later stages excretion rwith the urine was 2-3 times that with
the stools. The correlation between daily excretion %rith the stools
I'
M and excrettion with the urine (UU) is expressed as:
9/U'- - 2.84e-0.05L3t9 2 44 t 4 23,
9/U- - 0.867e-0.0021t., t ~O :23;
The correlation between the basic quantitieis of radioactive element
in the skeleton and the liver remained invw~iable at 1.34. This
justifies the attempt to find a constant governirqg the excretion
of plutonium Erom the system. Coefficients of excretion (the excre-
table fraction of plutonium expressed as a percentage of that con-
tained in the body) were calculated to assess the plutonium content
in the body. The coefficient is presented graphically. Usingr the
expressions for the coefficient:
Kexcr a 0.206e-0.08t 2 4 t 4 23,
Kexcr - 0.03270-0031t, t > 23,
Card 3/4

t 24,,-,
S/'581/61/000/000/01-3/020
The distribution and excretion... D299/D304
the plutonium content in a dog can be assessed from the daily total
of plutonium excretion. There are 4 figures, 3 tables and 10 ref-
erences: 3 SC5~viit-bloc and 7 non-Soviet-bloo. The 4 most recent
references to English-language publications read as follows: 11.
Liscko, 14. Kisieleski, Amer. J. Pathol., 29, 305 (1953); J. Schu-
bert, J. Lab. Clin. Med., 34, 313 (1949); B.J. Stover, D.R. Ather-
ton, N. Keller, Rad. Research, 9, 188 (1958); B.J. Stover, D.R.
Atherton, N. Keller, Rad. Research, 10, 130 (1956).
-card 4/4

44INSO
1A
1010215
AUTHORS 1, Rysinav T.N, and Yerokhing R.A.
!PITLr,,:. Distribution and excrotionof plutonium at remote
periods after administration to 40ge
~SOIURCM s. Plutoniy-239; raspredeleniyo,.biol.ogichookoye deystviyeF
uskoreniye vyvodeniya. Ed. by k.V, Lebod.inekly and
YU,,I. I-Tockc-lev. Moscowt Medgias 1S162p.;12-18
Tho metabolism of'plutonium in larger w0mal a and in man
had been insufficientiy studied. Sx-veriments were carried out on 15
adAt dogn weighing 18-20 kgp -Mh 4 iv.' irt fiatts of plutonium nitrate
dopia waw0.2p4/kg.b4,WO
(pHj2*O) at monthly intervnls. The totV
Seven dogs warts iLlso subject.e to a 4aily gappa-irradititibn of lOr
d
during.5 monthima The distribution- of plutoniiud.,-,ins studied wV~~in
ij,"Caid, 1/2

M2/62/000/000/002/021
IC115/1215
DintribUtion and excretion of plutonium...
3
-54 months. The plutonium excretion was exnpined continuously for
21 months. The determimation of pl%tonium in Aimee and excre~iona
was performed by- Anoineration witi), rubaoquent application of a carried
aad radiometric method. 73% of the injocte4 plutonium was still pre-
sent in the orgnnism, 3.months after administration '400 in the
bones and about 30% in the liver. The excretion rate varied for the-
varioua organs. The effective half-life period for-the bones ifas
calculated to be equal to about 4000 years, whereas no regularity was V~
figund for the liver. The #roatest oxorotion-rate wao-found within
the first 3-4 days (1-42-0.19%/24 hours). The quantitles excreted
by, the kidneys were the same au those excreted in'feces dUring the
first 6 months, but one and a half to twice as much later on., Ganma-'.,
irradiation did not affect the distributiori nor-the excretion rate of
~-Plutonium in doas., There are 1 figurc and 4 tablei,
U Card 2/2

TITM. Strontium 90 wtabollon 1n thA orgar
A oalcium eur1chied diet
SOURCH: Maditainskaya radioloqlLyas 10p n
TOPIC TAGS: rats stronti
960, caloiUMV:10c
metabolism
ABSTRACT: A twies of experimatts candt
folmal-a rata to determins ths otirlso 14: Cal
I i96
1~1 fi! maintained -on
0' 66-72
'01h tive isotopep
male mid
6n 2
4mxl~ohed diet ~on

- --&
rl-4 ~ 07-r. rl ILH
2/3
WINE

A," C NRt AP6014669 sOUIM: MW M/110:41/6,15/010/010/00 7A%1
AUTHOR: -jj&okhinji Be At-Srolddni R4 A,:; Kbqhix~nl~(~ 11. !A To in4voKY, L A
Tornove
ORGI none
93
TOLE: Gamma-spectirmetria intravital dete'Mtfiation of' Iyu in tlle~ it
1011 19~ 5;p, 3
SUIRCE: Neditsins&:aya radiologiya, v. 108,.
TOPIC TAGS: plutoviumt gamma spectromet4r# raU016gY, 61DOr ~
it!ium,, 4iAntillation
sriectrometer, phoUmultipliqr, pulse analyzerp:;pulse amolitwjivo rat, liver/AT-24
photomultiplier Al' 100 J
pulse ana,~Uner
ABSTRACT: ' The restlit 11, V-Q. '.-hVntU do,teoliah, Ok Ll po~qlb ity of
3 of an me]
aL and AWAI thim orr'giijism ~t. means of
-the direct Intravital measurement OtT
:a qgIntillAtion gma-spectrometeAr-a resented# The Orinpipal Col nts
Aa t IMck
ofthe spectrometer used were% a NaI(T15 scintinatton' ' 20 In"
-ar.d 40 mm in dimeterp'with an FW-21# photamultipUpr 4 an Palle-
'Ouplitude enalyzer4l~ Mdte rata.mrs jtix6n lpt~&*6houa
Pu, in the forn of the nitrite salt PU P11-1 valil~i 6f 26(31 in the
i I ~' Lao
ir mi. ro ' ?~O t the 'Witra
ampi ;tof itc wries per ratj or in tho fom 0
w
JA h a pH of 2-9., in the amoulit of :9.72 idcr~ciut4.qj~, pe:~ rat. The
Pu- and contents of the rat orgamim were! dea4urad &1.4011'r ifter-
ward as weU as at Intervau of 3L$ 2,9 4g! So - 16~ 32p ~ and, 64* so : t=9
--tivity varled identicallar in rats Intratrachda1v pq~- and Am241
d 1.q
iL2

ACC NRI AP6014669'
nhtratest toward Us 16th d~r' the activity div
150%; and toward thib- enci of the t, 63%
V29 mtent of Pli IffXsed'ed thatTm%* Th a
ai.-tivity folloming adminiatritio"fi- of tho ~V nk
dAV 14MV, 729 43..Ss and 22.0p, VOSP,
0
day#
In
lthp 30ttij,
666e tunf-~

85-9-11/33
AUTHORS: Somenov M., Correspondent or Kr7i,ya nodiny; YerokhIn S.,
Deputy Chief Arbiter of Competitions; Kuznwte_o_v_1_._0_7Mef
Arbiter of Competitions; Orlgorenko A., Chief Arbiter of
competitions
TITLK:: At the 4~aces of - the BeginniM of Zonal Competitions
01a startakh zonA2,nykh norevnovanly)
PERIODICAL: XW Iya Rod1ny 195Ts Nr 9s pp. 18-9 (MR)
ABSTRACT: A composite report on the zonal oomptitions of aircraft
model builders of the aeroclubs of the Centrals Volga,
Siberia and Far Eastern competition xones, consisting of
4 letters from local correspondents of Kryllya Rodiny.
The competitiona were hold for the selection of-model-
builder teams destined to participate In the forthcoming
All-Union competitions. S W lar prep&ratory competitions
were also organized In the Northorns CentAl-Black-Earthp
North Caucasian and Ural zones. No reportafrom these
last five zones appear In the present Nr 9 Issue of
Kryllya Rodiny. All four letters, written along the
fiame pattern., give a succlVat descript0h of the organi-
sation of the competitions and cite the clubs and the
Card 1/2 Individual sportsmen having shown best results. The

85-~-11/33
At the Places of The Beginning of Zonal Competitions (Cont.
letter of M. Semenov, reporting from Silicatnaya (Mookovskaya
Oblast') on the competitions hold in the Central zone stresses
the high quality of the 1957 showings of certain clubs and
aeroclubs,, and quotas figures. Other letters come from
XMbarovsk (S. Yerokhin, Par Eastern zone) Novosibirsk
U. Kuznal;sov, Siberia zone), and Saratov (A. Orlgorenko.,
Volga zono). The article contains no information of scientific
Interest. 3 photos.
AVAILABLE: Library of Congress
Card ~/2

TZROKHm. S. %4~',
On 1,,he Bl"k So&. Toon.snano 23 no.6s2 Jo 059.
(NIDA 12.-12)
1, Zaveduyushebly voyenno-fiskallturqu otdolos Krymakogo
obkom Vmesorusnogo Leninskogo kommuntatichaskolgo snyusa
maladezhi.
/ A.-
t,mimea-waval clucation)

YEROXHIN S (Morillsk)
Transportation of goods In containers In the North S*V.tcn
36 no.l2s45-46 D 162. (MrRA 16sli
(Russia,, Northern-Frelght-and frelghtage;
(Norillsk-Gontainers)

... ............ 4-1 1. V~ AI
L 57538-6~; Drr(d)/W(*)/EWO(o)/EWA(d)/WP(T)/T/ SWP(t)1W('WW(bV
(I)/EHA(c) Ff -h- JD/bV
EWFMAWY
ACCESMS XRs MM178
4; GOURCZ:
Far. ski. MetaMirglymp Abe# 5DW
AUMMs Vd. we BA", IF@ 140) RaZIMOM mqdli~lj
XhgSj"kiy, X. YO; Murpe Lo No)
TnLgt IncraulAg accurse7 In the probiatism of We _vmIW Woe a ty" 114
or= SOMI Ibo pvols~" evms besshms tr4his TWO as Ns# lbuuuVL3p%
v
TAGSs mMAI t", nta ur" minull amount "dd" waim
U4 WAOntle sqmmtue.
TWMATM: To article demoostratem the Vossibility of mungUtur* UMN with
,dismoUrs of 76., 83, and 89 m with a v%U tbickness of 3.25 an vader isidetim
techwlogr. A rUWy,vvA mode of the lufLummm of tbe'ftm of the bowUg IvaUumm*
:oi2 the accunkey of the v&U tbIckneos of roUed tuWsp and tbie - A __Cy of Using
ion oxtomatic mlU'blt idth as wovaLuatioe of oook-1.06 in valmitiA Imoo 2t JAI
lesto2labed Valk wItb a redistribution of Vie,deffictuatIcs botmm *a JUO -ad
of MIS aftwass am (tut lot vith a aft"" Im "mms"

AIM ..........
illillvolwill-11 J1111 fill AT
IA=M= Nts
I of U I M)p %in j of "in Woo Is
40
cwd

OffArEK, A., I-Land. md. naii1c; YTEROKIIIN, V., mladshiy nowhrvy 4lotrildnik
The pilriL In an am-orgency nituation. Graztld, okv~ 22 rv,,209-21
F 16 5. (141RA 182 ,r)

In - ri IN,
Handl4mg of tJw wRaketa-33w on the MUL PiVOra ROCh trarmp,
21 no,6:" Jo 162. iMM 15:7)
1. Inshener-impektor sudokhodnoy inapektaii. Ryamanskogo
Uchaetka*
(01m River-PLotim hulls)

XUI)RYAVTbXV. A.$., profossor, ro&iktor; TM(Sid"I JLAmpm**"ktor; ZIULNUCYA,
L.M.. redektor; KOFTWU, L.P., 49k'tor; RaOT. S.I.. te'ihnichatkV
rodektor
[labor oconowles] Bkonomiko trude. Odebreno Uchowm sovetom Hockov-
skot VSbFD r knehosgve uchobn"a posoblis. [Moskva] led-vo VT*SPS
Praftsdat. 1957. 1476 p. Num 10: 10)
(labor and labartug clopses)

YEROXHINgV.A,.
.Roconditioning of used tirem Iii the Sverdlovsk Jutombile Tire
PUnt, IauchA rose 22 no,/#j4"9 Ap 163. (Km 16t6)
1. Sverdlovskly shinqy savod. I
(9yordlovsk-Tir". Rubbe"apai-rim)

KARVELEVO K.N.; 7EROKHIN, V.A.
Expe:rlmental re-treading section of the Sverdlovsk Ilre Factory.
h6clb. i rez. 20 no,6:38-40 Jo 161. (MnA 1416)
l..Sverdlovskiy shinny zavod.
(Sverdlovsk-Tires, Rubber)

YXROXRIN, V. A,
Daylefo for the presobg * --or Meet rubber in t1tv reWr,
landh4f i res. 22 no. 6s 4849.. 4 16~. (#IRA 26 17)
1.~Svordlovskiy sbiniv sawode
(Timm, lkbber-Upskrift)

. z, - t , I I ~ 4i
AUTHOR t Yerfthing V,D, 12-1-15/26
TITLIs Boris Konstantinovich manteyfell
PERIODICALi Isvestlys, Vessolusnoso Geogrefloheskogo Obohohostvaj 19580
lo PP 79 - 80 (USSR)
ABSTRACTs The article in a short biography of B,K. ftateyfell
(18!~6 - 1957)p & well known Soviet archeologist and pheno-
log:Lmtg who resided at Novgorod.
AVAILABLIs Libirazy of Congress
Card 1/1

3(5) SOV/12-91-2-19/21
AUTHOR: Yerokhin, V,Do. Morzhovj BoA#
TITLE: The Inspection of the Society's Branches and De-
partments
PERIODICAL: Izvestiya VsesoyuznogoO5eografieheskogo obshchestva,
1959, Nr 2, pp 201 - 2 (USSR)
ABSTRACT: The authors inform the readers that inspections of
the following branches of the Society were carried
out during the months of May and June 1958: Buryat;
East Siberian; Krasnoya~rsk; Wovosibirsk; Omsk;
Tyumed (by inspector V.D. Yerokhin); Yaroslavl';
Gorkliy;Kazanl-, Mari (by inspector B.A. Norzhov);
Kuybyshev; Saratov; Stalingrad (by inspector M.I.
Lopatin). All these branches, except the Mari, in-
creased their activities. But-a number of defects
were also pointed out, namely the lack of cooperation
with the staffs of the scieutific bodies and the ab-
sence of the records of p.~oceedings, etc.
Card 1/1

MILAMp D.Lp kwA.toklm.nauk, 4W=n V D.9 inub.
-nn moth*& an me oi& car the don
in
Of TrUMP, Ntr0l. 11 noolSIS-20 ;a

AUTHOR: Erokbi V. 52-111-1-8/9
TITLE: 3 e-entropy of a Discrete Randoz Variable.
(&-entropiya diskretnogo sluchaynogo ob"ekta.)
PWRIODICAL: Teoriya veroyatnostey,i yeye rimenenija, 1958,
Vol.IlIt Nr.lq pp. 103-107- (USSIR)
ABSTRACT: Let ; be a randoz variable which takes on (abstract)
Vdfues X19 x2v ... I xn with probabilities
denotes another
P2.9 P29 0009 pal ...
random variable with
9k F(V =xk) > 09 qk 1
-1 M, :A (W;)
atLd
or p (17" *1 (W2)
6
IAIt H inf , W:Lj 102), (Bqol)
Wi-
Card 0
1/3 where J is the amouat of information about To contained

The E-entropy of a Discrete Random Variable. 52-111-1-8/9
in It is shown that H i(P mad " 2( 1) a re
we Wrl
equal. The paper gives the precise fo:Luula for their
COMMOn value H,(&) as well as for distAbutions P
for which the infinnim in Eq.1 is attainedt
H13 q) Pk 10% [n(0) - 1) 0 log -(1-6)log 1-6
Pk >0 (Eq.11)
If Ir V is the probability M3,trix for the economic
code 6irmissible probability distribution when the
lower bound in Eq.1 is attained) then
rkl = C~k q1(41)0 Fkk = QO%kqk1 (Eq.13)
Card where 0 9 .c_- P1 # and CLO Ml P & a & P CL are
2/3 positive numbers such that a., const = '? if

I
522-111-1-8/9
The e-entropy of a Discrete Random Variable.
c~k- >' 0; cLk = Pic if qk 0;
CL0 S - ]I@ + s Z Pic; 9k=(Pk-9)/(s-MO)
qk --7' 0
il.' only q. 0 has n ponSible values,
has m e-O n possible values). There is 1
Soviet reference
SUBMITUDit Novomber 18g 1957.
A,VAIIABIBI-, Library of Congress.
1. Probability (Statistics)-Applicatiow 2. Matrix algebra
Card 3/3

AUTHORs Yerokhin, V SOV/42-13-6-8/33
"n Y
TITLEs --ftfTo-nnection Between Metric Dimension and Harmonic Capacity
(Svyazf mezhdu metricheskoy razmernostlyu i garmonioheskoy
yomkostlyu)
PERIODICALt Uspekhi matematichaskikh nauk, 1958,Vol 13,Nr 6,Vp 81-88 (USSR)
ABSTRACTs Lot E be a subset of the Rn measurable according to Borel,
let 0n(E) be the n-dimensional capacity of the set El lot
.? (Q,P) be the distance of the points Q and PI - lot f ( S ) bo a
coritinuouspnon-negativolnon-dooreasing funotion defined on
old S.C 1; lot mfbe the metric (of the type of Caratheodory)
outer measure defined with the aid of,?. 'I
Theorems Let satisfy the conditionir )d& 09 then also c (E)> 0
n
is valid.
Theorems Let satisfy the conditions
lim inf 2-n > 0
Card 1/2 5 -Jk- o

The Connection Between Metric Dimension and Harmonic
Capacity
130V/42-13-6-8/33
lim inf log I'> 0 (n-2).
go, --,> 0
If ,'.'or a Borel set 3 the measure m (1) is 6'-flnite
Y
(i.o. E can be covered by the sum of countAlDly many B--eets
of finits measure), then a (9) - 0.
The oonditions of the theoPems are minimai.
There are 5 references, 3 of which ails SoviiBt, I German,
and 1 Polish.
SUBMITTZDs April 9, 1957
Card 2/2

AUTHORt Yerokhin.-LD, 20-120-4-1/6 7
TITLEt On Conformal Transfortations of tbe Rings and on the Fundament-
al Base of the Space of the Punctions A.-nalytic In an Elementary
Neighborhood of an Arbitrary Continuum (0 k onformnykh preobrazo-
vaniyakh kolets i ob, oanovnom. bazise proetranstva, funktsiy,
analiticheskikh v elementernay okrestnosti proizvollnogo
kontinuuma)
PERIODICALt Doklady Akademii nauk SSSR,1958?Vol 120P Nr 4tpp689-692 (USSR)
ABSTRACTs Let G be a simply connected domain of tho z-plane and let K
be a bounded continuum in Go Let A ]c be the class of all
G
functions f(z) analytic in G with the norm 11fd - max f(z)
Z 6 K
Generalizing the results of Fabeir (Rdt 2,~j the author shows
that there always exist a sequence of, functions e W
n
analyticKin G and linearly Independent which form a base in the
space A G t whereby this base iwty be denoted as the Ymost
effective one" inasmuch as the decomposition of an arbitrary
function,-*ith respect to anothe:v base on 1r convcr-cs sloviox
U
Card 1/2

On Conformal Transformations of the Rings and an the 20-120-4-1/67
'qundamental Base of the Space of the Functions Analytic In an ~-,Iementary
Neighborhood of an Arbitrary Continuum
than the decomposition with tespect to the a In (z). From the
polynomials
akek(z) an "asymptaticallr' minimum E -not
L
o
can be obtained for suitable n, n:--Ilog in the compact
K
alass f(z)e A G O, p>/1 I f (z) 11r sup (~,111 I
'zi < r
f (Z) P r ~",r If (z)) P Idz i1/p
J)
f (Z) 2) The class H
p,r r2 If (2)1 P jdz I p,r
I z Pl~r
io formed by the the functions f(z) anal$rtic far (I ~zl