SCIENTIFIC ABSTRACT KHAZEN, E.M. - KHAZHIDEKOV, G.
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SCIENTIFIC ABSTRACT
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25030 S/052/61/006/002/006/006
Determination of the density ... CIII/C222
The author seeks the density of the probabilities P(y,16049YnI t) for the
Marko- process Y(t) . (Y I(t)""P Yn(t))'
The investigation is based on the following older results s
Theorem I s Let Y (t) be an n-dimensional Markov process (let almost
all trajectories be continuous) --ttisfying the conditions
lim_~_T MI(yi(t+ At)- Yimlym - icl - YX t t)
lim -S--, ij
Yi(t+ At)-yj(t))I Y M
At-to M I(Yi(t+ At)-yi(t)) B (X-90t
(here Mk ... 1_~ is the conditional mathematical expectation, igj-lg..n)p
where A, B,j tTre functions being continuous together with their de-
rivatives 2 B ij A j K i is a positive definite quadratic form. Then
for the process )r(t) there exists a probability density P(y t) satisfy-
ing the Kolmogorov-equation
Card 2/6
250V
Determination of the density
~P n
+ A Pi .
7t 1 2
i.1 ~Yi i?j-1
S/05 61/006/002/006/006
C111YC222
2
BiJP
Olyidy J t i
(2)
Theorem 2 a Let g(y , t T) be the density of the probability of
the transition from the point 4 to which there corresponds the moment
T7, in the neighborhood of the point V (moment t) for the Markov
process y(t) satisfying the conditions of 'heorem 1. Then g(.V,t
t > V satisfies the equation (2) in the variables yl,...,yn, t In the
variables 111 ... 'In T'O g satisfies the conjugate equation
n n
+ A + 0 (3)
i( -?,, a 7 Bij (1, r)
i1j-1
Besides g(y t for t - 0 where S is the
Delta-function.
Because of the piecewise linear and constant charactertrespectively
of the functions Fi and aij the space decomposes into a number of regions X
Card 3/5
25019 S/or"161,1006/002/006/006
Determination of the density ell, 0222
in which all functions are continuous and differentiable ; the process
described by (1) satisfies the assumptions of theorem 1, where Ai(Y t)
n
2: a a so that P(V t) satisfies (2). On the
ii kol ik jk '
planes by which the above mentioned regions are bounded let P assume
certain values P* , where JP f/~ n be the derivative with respect to
the normal to these planes. Inside every region the solution of (2~ can
be represented in integral form by the boundary values Ph n*
After use of the boundary conditions one obtains a system of linear
integral equations for the determination of the unknowns P~ and
9 P * /al n. The integral form of the solution of (2) in the given region
is found with the aid of the fundanental solution of (2) which is
continued from the region in the whole space. Here the author uses
theorem 2 according to which the fundamental solution of (2) - considered
in the whole space - agrees with the transition probability of a certain
random Markov process. This process is described by linear differential
equations so that Its transition probability can easily be determined.
Card 4/5
2503,9 S/05 61/006/002/006/006
Determination of the density ... C111YC222
The application of the described method for the determination of P(V 't)
is shown by two examples (all-relay system, linear detector).
The author mentions Andrey Nikolayevich Kolmogorov. There are 2 figureo,
5 Soviet-bloc and 5 non-Soviet-bloc references. The references to the
two English-language publications read as follows t J.L. Doob, Veroyat-
nostnyye protsessy (Stochastic processes), M., IL, 1956 , Dressel, The
fundamental solution of the parabolic equation, Duke Math.Journal
7, 166 (1940) ; 13, 61 (1946)-
SUBMITTEDs
October 20, 1960
Card 5/5
h25LO
3/020/62/147/001/908/022,
B100102
AUTHORt Khazon, B. M.
TITLEs Theory of turbulence in nonuniform flows
PERIODICALt Akademiya nauk SSSR. Doklady, T.'147, no. 1, 1962, 6o - 63
TEM The effect of turbulent pulsation on the averaged flow of an incon-
n
pressible viscous fluid is taken into account by the oorrelation funatio,
b (-X",t) . 6V (X,t)6V!(X,t) in equation
out du I OP a (6V (A () OV,
UI VAU(
of the av4r&ged notion* If turbulence is week and if the terms having the
order of,6V 6V 6V are neglooted wheA avero-tng# the Navier-Stokea *qua-
tions gire
Card 1/3
5/02DJ62/147/001/008/022
Theory of turbulence inae6 B104/B102
abil (X, e, t) + ( (J,% (x, 1) ' + Uk (x', bil (x, x', 1) +
of '~Tr;
ab'O (2).
+ bk, + Lu/ bik vAb, + vA,,b,,.
+ 7
OX, OX;
A nonuniform flow is studied in whioh the initial disturbances are such
that the ;maximum measure 1 of turbulence is smaller than the characteristic
measure'L of the averaged flow. Under these conditions the spectral funo-
tion
10
01, (k, x, t) e1kr x - r/2) 6VI (x + r/2) dr,
of the pulsations is introduced which depends on x only implicitly via the
-4
slowly varying function U x
(2) and the derivatives of V(X#t) gives
+ Uk (D, (k, x, aUl' kA, a Oil +
7
ax, W, (4)-
611 2 (Dk I + au, 6q 2.k'rkl (Da 2vks0a.
+ Ou, ( -k-r-
Card 2/3 OXAr TX-k
S/020/62/147/001/008/02i~
'Theory of turbulence in$$# B104/B102
In a detailed study of this system it is shown that a laminar flow becomes
turbulent- in -the -followinguays-The -random vb-rtex-disttirb-anbei---witk~--niki7iI
amplitude increase in a nonuniform flow. If the Reynolds number and the
initial amplitude are such that maximum pulsation amplitude does not exceed
a certain threshold, then the pulsation gradualiy vanishes. Otherwise the
laminar flow becomes turbulento
ASSOCIATIONs Moskovskiy gosudarstvennyy udi'~ersitet-im. M. V. Lomonosoya
(Moscow State University imeni M. V. Loaonosov)
PRESENTEDs August 2, 1962, by A. N. Kolmogorov, Academician
SUBMITTEDs Auguat 2, 1962
Card 3/3
UMNO E.M.
Theory of turhasnas in inhomagensous flows, Dokl. .. - -
AN SSSR 147 no.1:60-63 N 162. (MIU 150-1)
1, Mookowakiy gosudaretvennyy universitst im. M.V. Lomonosova.
Predstavleno akademikom A.N. Kolmogorovym.
(Hydrodynamics) (Turbulence)
KHAZEN, Elm.
Nonlinear t1jeory of the geneala of turbulence. Dokle AN
SSSR 153 no.6:12$4-1287 D 163. (~U RA 17: 1)
1. Predstavleno akademikom A.N. Kolmogorovym.
KHA0,71731,.'E. M. (Moscow)
"btatistical theory or vie turbUence formation".
report precented at the 2nd All-Union Congress on Theoretical and Applied -
Mechanics, Moscow, 29 January - 5 February 1964
!.,tr *Aipory of c-7cuxre"ce of n c
,;-~Altkdy, -. 161 no - 4
nor.,"near theoT-r,
O'l r,
yilr 4~ r qn r,
w: . 71-, s r - s u 5
a o ri r, -j f f r, e ~u,:
-I., :'Q3r 'r am the
El a I on a S,
ni r on Sel e,-t ed ut
ON
iirbulpnce This report wn,-i
%nd 18 form-ulAa.
FAqC L M7-7! Y F
ACC NR& AP6033937 SOURCE CODE: UR/0280/66/000/004/0014/0027
AUTHOR: Benenaon, Z. M, (Moscow); Khazen, E. M. (Moscow)
IORG: none
TITLE: Sequential analysis methods in problems of multiple hypothesis recognition
SOURCE: I'll *SSSR. Izvestiya. Te%hnicheskaya kibernetika, no. 4, 1966, 14-27
TOPIC TAGS: mathematic analysis, mathematic method, recognition process, data corrals-
tion, correlation statistics, normal distribution, Markov process
ABSTRACT: The authors consider the problem of distinguishing between multiple hypo-
theses and recognition of hypotheses in the absence of complete informAtion concernin3
the laws governing their distribution. A unified synthesis procedure for rules of se-
quential solution for such problems is proposed. The sequential procedure consists in
constructing a certain function (or.certain statistics) L(xj,...,xm) onthe basis of
observed values Xl,...,x , and a comparison with threshold values. In the general
M
case, these threshold values vary as functions of the time or number of observations.
Optimum variablo threshold values are determined by means of recurrent estimates of
the conditional risk for this function. The selection of the statistics L is perform-
ed with regard to the limitations of the required memory capacitys The sequential
L4~ard 1/3
ACC NR: AP6633937
rulas darivad can bo implamnted with ralAtiva can@, The adqUOrstial a0lution ruI4 In
-Vj be
the presencla of two simple hypotheses is explained as follows.- let (xl,...,x
the conditional probability density of the values Xl,.X2,--- AM observed under condi-
tions when the value of the parameters equals 01.(i a 1,2,). Then, to obtain a solu-
I
Ition, a probability relationis constructed
L. L(. (X,. X1.
PG.
land compared with the thresholds A and B. If r, 2: A, the hypothesis 6 a 01 is assum-
M
ad to be correct, if 1~ S S. the hypothesis 6 = 02 is assumed to be true; if, however,
< LM < A, another observation is carried out to get , is constructed and
M+,;. ~M+l
.compared with the threshold A and D. If 61 and 62. are constants, P ar,%
61 M
own.=ctiona and the experimental conditions do not change during the observation,
then'the thresholds A and B are also constant, independent of the number of observa-
tions. This rule provide's an effective solution for distinguishing between two sim-
ple hypotheses. However, as a fule, the problems involve not twog but many competing
lbypothesos. Furthermore, the conditional probability density may not be known. The
Card 2/3
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BAMAS, B.S.,; GLOD# Vr.D.,; IAIM, L.I.,; IJUOYZOH, A.P.,; TARASOV, G.K.;
NWHU, !.H.(Moskva)
-.0a"POOMM""fte-
Data on the mechanism of action of aminazine. Zhur. nevr. i paikh.
56 no.2:121-138 t56. (HLRA 9:5)
l.VqyenW fakulltet pri Tsentrallnom institute uuovershenstvovaniya
vrachoy, kafedm paikhintrii (tav.-prof. A.V. Snezhnevskiy)
TSentrallnogo instituta Usovershenntvovaniya vrachey i Goeudarstvanny7
institut paikhtatrii (dir.-dotsent D.Te. 14elakhov) Hinisterstva
zdravookhraneniya RSFSR,
(CHUMOWINE, effects.
mechanism of action (Rua))
ZHAMUI, IA.;- nMWS, Ye.l.
Rffect of great drops In barometric pressure on the higher neivous
activity of animalo'(whits rate) during alorointervalsietime. -
!,,3kl. AN SSSR 108 no,5t985-987 JO-156, (MM 9:10)
11 OSentrallrqy instibit peovershenstyawanlya vrachey. Koekvs,Pred-
stavleno akademikou LA. Orbeli.
(ATKOS 0 PmMsuarr~PHYSIOMICAL EMM)
17(10) SOV/177-58-3-13/29
AUTHOR: Khazen, I.M., Colonel of Medical Ser,~ice, Professor
TITLE: On the Regulation of Functions of the Organism During
Radial Acceleration
PERIODICAL: Voyenno-Meditainskiy Zhurnal, 1958, Nr 3, pp 55-60
(USSR)
ABSTRACT: To clarify the regulation of the functions of the orga-
nism during radial acceleration, experiments on animals
were made studying the secretions of the saliva, sto-
mach and intestinal glands, as well as the motion of
an empty stomach (P.M. Suvorov, I.L. Wa~,sfelld, A.S.
Barer). Simultaneously some functions of breathing
and blood circultation were observed; the stomach
secretion of human beings was studied. Experiments
were carried out on ten dogs, and as a rule radial ac-
celeration was followed by a temporary inhibition of
saliva secretion. Changes were particularly marked at
accelerations of 5g/20 sece in the direction pelvis -
head, when the consequences lasted up to 24 hre or
Card 1/3 longer. During acceleration of 3-59/30 secs in the
SOV/177-58-3-13/29
-On the Regulation of Functions of the Organism During Radial Ac-
celeration
direction head - pelvis, and also for 15-30 mine after-
wards, sharp inhibition of the secretory function of
the stomach and even complete cessation of separation
of juices was observed on a human patient. As a re-
sult of repeated accelerations (up to 8 at intervals
over a period of 5-6 days) only a certain tendency to
t--h nges-was--noted- in--the -secretion -of- stomach- -
even ou cia
juice. Analysis of the results shows that while the
effPctB_on_the_wlJxa__g,1ands are-oDerative for a brief
period-, (tens - of~ -minutes) and on theLstomach L glands
-for-a--ifew-hours,--thi)-searetory processes-of-.the--glande-
of tho isolated int0stinal loop are affected for days,
and for weeks in.the case of large accelerations. Stop-
page of breathing, which is often noted at the moment
of maximum load and is generally restore 'd after 10-15
seconds can scarcely-influence the process of intesti-
nal secretion. Intramural innervation cannot be ex-
cluded as an influence on the changes described earlier.
Card 2/3 Increasing accelerations invariably caused cessation
p'ralu-73CUI 1111p0j. 11ance", the Choi -ce-o)T--a-pH-~-siol-ogic-a-1-----
ly well-founded aircrew diet. There are 3 photographs
Card 3/3 and 2 Soviet references.
KIRZF11, 1. H. j (Ur-,R)
--------------
The Dynamics of Changes of Biologically active Substances ir Organism as Affected by
Acceleration of Gravity.
report presented at the 5th Int'l.
Biochemistry Oonrress, Moscow, 10-16 Aug. 1961
, KHAZI24 t I.M.; VAYSMID, I.L.
-Changes in the content
rats under the effe3t
khim 8 no.5&493-497
(Mookva)
of biologically active- embetances in
of radial acceleration. Vopa mede
S-006Z (MIRA 17:4)
0- gAn,
LA la
GO: pat#
~-J~ M-SLATIOM
041,Ixer anximal
_74a f-'_4
rith, 30
a lz for:
T~,
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J6
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Pe
or- 2- min .4-.,-t
Grati
btocl-'
adi,ng- aftal
f
-i ri t e 1 f) ,I I
.53 fl 'i
w V
till,
Wawa wm~ , M-
FEDDROV, I.V.; MWIZEN, I#M,l STURUA, G.G.
Change in the corTelationa between excretions of 17-hydroxyrorti-
costeroids and 5-hydroxyindoleacatic aoids in pilots. Vop. mod.
khim. 9 no.6:583-587 N-D 163. (14IRA 17:10)
C) L; t,iZ, L;
L; v ~4 t: I; w~ C~
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ACC NRt AT6036625
SOURCE COM Ult/0000/66/000/000/0321/0322
AUTHOR: Razumov, M. I.; 1(hason,, 1, tL
ORG: none
Tl=: Functional and histological changes In the liver during acceleration;
*&apar prosonted at the 0onferance on Problem at Space Modicino hold In Moscow
fron 24-27 Vay 19647
SMICE: Isbnforantalya po problemam kosmichaskoy maditsiny, 1966. Problemy
kosmichoskoy meditsiny., (Problems of space medicine); matarialy konferentaliq
Moscow, 19660 321-32.2
TOPIC T&M: biologic acceleration affects livers biologic secretions animal
physiology, biologic metabolism
ABSTMACT:
I a
nie effect of acceleration on processes of intracellular metabolism h s
recently received more attention. Due to its size, abundant blood supply,
and flexibility in the abdomen, unique disorders occur in the liver under the
influence of acceleration.
Studies were conducted on 8 dogs which were exposed once to 8-G chest--
,back acceleration for. 3- min. The animals.-were killed -at various.periods..
Card 1/3
'ACC-t4k1_,&T6036625
after exposure and'always 20 hr after.'feeding. Tissue samples were taken
while the animals were alive under morphine-ether anesthesia and each in-
vestigation was conducted with a control.
The general reaction of the liver during accelerations was characterized
by moderate fatty infiltration of epithelial cells which was observed from tho
second to the thirtieth day after exposure. Cholesterol precipitation was
observed in individual or small groups of epithelial cells.
I%Ieutral fe, globules and trivalent iron was found in the cytoplasm of
Kupffer cells (animals killed 3 days after exposure). Impurities in the form
of brilliant, powerfully refractive crystals of *prismatic form were noted in
the nuclei of many trabecularicells. Theae crystals were noted in paraffin..
frozen, and celluloid sections using various fixing fluids (acetone, ethalone,.
r
Carnoy' s fixing fluid, formalin). Birefringenoe was noted. in pola ized light.
No polysaccharide or lipid components w e r e noted I n the c r y 6a 1 s.
Their protein nature was indicated. In some isolated cells, paired crys-
tals parallel to one another were occasionally noted~ Injury to intracellular
structures of the liver epithelium included nuclear dislocation in the cyto-
plasm and chromatin disruption of nuclear matter. As a resultJ protein syll-
thesis was altered. precipit4tion in nuclear matter results in the formation
2/3
ACC NRs ATG036625
of prismatic crystals. The nl~le`us containing protein crystals together with
.noncrystalline precursors was noted in only a small number.of epithelial
!cells located in internal liver lobules from 3-30 days after exposure. In
i
i a parallel, control experiment, these changes in Kupffer and epithelial cell a
;were not observed.
The altered metabolic processes of hepatic- cells probably depend not
,,only an the direct effect of mechanical forces which Injure the intracellular
'-structure, but on the altered structure of other organs and tissues such as
1.the stomach, pancreas, and small intestine. It is possible that accelerationq.
iintensif-f the liberation of biologically active substances into the blood which
reach liver capillaries and act as specific stimuli of phenoloxidase synthesis
!-in the cytoplasm of Kupffer cells. The activity sharply increased in the
I
Gfirst and second days after.exposure to acceleration. s been ob6erved
The presence of crystalline structures iri'cell nuclei.ha
'ffor the first time. These studies -are being continued on other animal spe-
icies'-.
CW. A. No. 22; ATO Report 66-1167
SUB CODEs 06 SUMI VAISS' OOM"66
Card .1 13
.T, 098)11.-67 ENT(l) SGTB DD/GD
ACC NRt ,,.-~,U:jUU/%) SOURCL C000: UR/000U/66/0U0/000/037jV0377
A'WhIOA: _1J Ons.
ORG:
nono
TITLE: New data on the effect o9.nLcrU=j_tzj_qq-~_on the socrotory and motor functions
of the digestivo system fl-laper presented at the Conference on Problems of Space
~1~_,d i cine. -hold An ~bscqw_
from 24-27 May 196L7
SOURCC: lrbnforontsiya po*problemam lwsmicheakoy moditainy, 1966. Problei,;
Nos"lichoskoy meditsiny. (Problems of space medicine); matorialy konferent Lio
E05cow, 1966, 376-377
TOPIC 'MGS: biologic acceleration effect, digestive system, biologic secrition,
weightlessness
ABSTRACT: duration'
During accelerations which differ in magnitude,direction, and
changes in the function of salivary, gastric, pancreatic, and intestinal
-'glands- occur.- There -is -a-similarity-in-phase-shifts involving seer -etion
and the formation of enzymes (amylase, entdroldnase, trypsir-, a-1crline
phosphatase, and lysozyme). There changes depend both on aeural
humoral regulatory mechanisms o f tissues and organs of the,dige~stkvq~,'..,.
Card /3
L 08841-67
ACC NR, AT60-3-6M
tract as well as on original functional state and the stress magnitude.
During transverse spine-chest accelerations substantial shifts occur at
4 G. At 8 G in the same direction for 3 min, the duration of aftereffect
reaches 10-12 weeks. Along yiil~chancres in secretory processes, dis-
ruption of the coordination of gastric motor periodicity and in partkicul,ar,
the periodicity of the duodenum occurs. The duration of aftereffect. reachE,.S*
almost three weeks. These changes arc associated with a definite char-
acteristic of the stimulus conbined with pathomorphologic . and histochemical!,
disruptions of tissue structures in the digestive-and.oth.er systerns.of the
brganism. The most deleterious shifts were noted in gastrie glands ana
in liver cells. They were observed beginning with the third to the th&tieth
day. These data .Aelp in unr~erstanding changes in the metabolism )f biogenic:
a
,amines: adrenalin, acety1choline, norep~n6phrin, serotohin, and hi-,tamine,
as well as chancres in cholesterol metabolism. It should be noted that all
of these functional and structural disorders take place in the absence of
:any changes in the general state or behavior of animals.
During hypoxia and acceleration, selective disruption of various organs
and tissues of the digestive system occurs which indicates an insufficiency
of neural and humoral mechanisms affecting autonomic regulation. Adaptive i
and corapensatory readjustments are also observed, which not infrequently
2/3
L 080111-67
ACC NR, AIM36679
ioccur without. any connection between functional and skructural disrul'Ations
M the alandular mechanism of the digestivc systan-i. IL is hypothesized
,u
:'that disruption of complex adap'Live and compensatory processes which
determine thc integrity and function of the whole organism is a direct
,~causc of the development of patholog under the effect of extremal stresses.
Gy
Results of these studies revealed the significance of the neuroglandular.
7apparatus of the digestive system as an index of the reaction of the organism
during accelerations. These experiments permit planning practical measures
40r Preventing concealed, well -com pensated disruptions caused by accclera-
L)
,tions. This is of importance because the very same chancres in the secretory -
b
-and motor activity of the stomach have been observed in humans exposed to
,accelerations. Or. a background of prolonged aftereffect, weightlessness
:along with other stimuli characteristic of spaceflight (hypodynamia, etc.
!can cause paradoxical reactions. Diet can have substantial influence in
,thi4 case. The significance of these data relative to.creating physiologic_
:bases p4 space-crew nutrition is evident. LU. A. tb. 22; ATD Report 66-116_7
SUB CODEt 06 SUBM DATEs OOYay66
:ard 3/3
S/138/61/000/003/005/006
A051/A129
AUTHORS: Sandomirskiy, D. M.; Fogel', V. 0.; Khazen, L. Z., and
Khu Yu-Mu
TITLEt The-effec-t-of the-gelatinization process of latex on the change
--of-its heat- and electro-oonduotivity
PERIODICALt Kauohuk I rezina, no. 3, 1961, 26-30
TEXT. The authors have Investigated some simple systems consisting of
latex and a srall quantity of gelatinizing agents, in order to determine the
kinetics of the processes taking place during gelatinization, e. g., changes
in the heat- and electro-conductivity and the drying of the gel formed. A
spherical bicalorimeter (Fig. 1) was used for investigating the heat-conduc-
tivity.. This is a m etal-sphere, surrounded by a thin spherical layer of the
investigated liquid. Under.regular conditions the difference of the temper-
atures of the thermostat medium and the center of the bicalorimeter is ex-
-----presi3ed-by--the--formula.-
tf t (tr-to)e-mv or ln(tf-t) ln(tf-to) mC (1),
Card 1/7
20865
S113 61/000/003/005/006
The effect of the gelatinization process of... A051YA129
where-tf is the thermostat temperature, to --the initial temperature of the
bicalorimeter, t - temperature of the central part of the bicalorimeter cc ,r-
responding to the duration 'C of its heating up, m - rate of heating. Figure
2 shows therelationship of ln(tf-t) to the duration of the heating. The
coefficient of the heat-conductivity of the liquid ;, is deiermined from the
formulat 2
M
D 1 (2),
12 4 - .- -_ -
where I - Dj/D2 is the.ratio, of the internal and external diameters Of the
bicalorimeter; Cjjrj - the thermal capacity of the metal sphere; Cr .. the
volumetric thermal capacity of the investigated liquid. In the expelliments
the method of regular heating of the bicalorimeter was supplemented 13y the
method of stationary internal heating of the sphere, inside of which a heater
was placed. Por the case of stationary heating of the double-layer sphere,
the heat conductivity coefficient is expressed by
QaYer.
F Ve (3a).
The quantity of heat transmitted through the layei N tationari) was deter-
mined from the expenditure of electric energy by ihe Rea er. he method of
OP-rd 2/7
20865
0
3/138/64/000J003/005/0 6'
The effect of the gelatinization process of ... A051/A129
regular conditions was used to determine~the relationship.~. of the latexes
and the gelatinizing mixtures to the temperature,and the stationary condi-
tions method was used for determining the kinetics of the % change during
the gelatinization process and that of syneresis. In order to determine the
effect of gelatinization on the heat-oonductivity, the kinetics of the tem-
perature change relationship to the heat-conductivity was investigated both
for zevertex and latex L-7'(Figs. 3, 4), It was note! that immediately afler
,gelatinizing agents are.introduced into the latex mixture, processes-occur
causing a decrease in the heat-conductivity,of the system. The results-ob-
tained showed that-after,the system has reached a certain degree of stabili-
ty even before the.formation of & solid gel., structures-are formed in it
gradually, which sharply limit its ;dobility in certain sections, hamrering
convectioP.-, diffusion and heat-exchange and thus.docreasing the heat-conduc-
tivity. Th~~-change of.the latter and~that of-the-e_lectro~conductiv.-ty does
not. stop :af,t'e",.' the.formation of - the solid -gels both Cie electric reiietance VX
h6a:t - '_uduc 'Wity- -inbreasa ~,Thw_heat-ooacluo rivity was, ;,epai~a%d -when
and--~the, OG
the discharging;,11it,: reMoVe6-Xx;bm__the -sys',ejai i,'n order-to determine.'~
of_%the-:. ussis, on-.t '1'00'~-6;ctj~t'hy
he- hermia (Fig '5).. p; i a
i__Eea;~.Out- t~'~` 4-b', Lng ePW'iOo1AV3 as wc~:Li-
-'W OFF)
&N
M&
N:
AVI
'F~
IV
V
5!Z
w
7
e# P4
J'A 11M, A 1~- '-v _;1
1A , Ma.
VUZIN, N.M., doktor tokhnichookikh nauk.
"IWO
0 ~
Relative steam consumption under varying conditions of loccuotiv I .
steam engine operation. Obor.trud.Akad.zhal.transp. no-3:103-11.3
'54. (MU 9-8)
(Locomotives)
"Azjw. X.M.-,-Rragessor.
Selecting twa economical turbogenerator having steam extraction.
Trudy KTZI no.2:86-100 '55. (KLRA 9:11)
(Steam turbines)
BgKiSHMVICH. 1.I., kandidat takWitcheakikh wA%i:c; BOGIN. UJI.. kandidat
takhnichaskikh nauk; BYKOV, Ya.l.. inshaner: VIASOV. 1.I., londidat
takhnichaskikh oauk; GRITSEVSKIT, M.Te., inzhener; GRUM. L.O.,
inzhener, GURVICH, Y.G., inzhener; DAVYDOV, V.N., inEhanarl M-
SHOV, I.M., kandidat tekhnicheakikh nauk; ZASORIN, S.N., kandidat
tekhatchaskikh nauk; IYANOV, I.I., kandidat tekhnicheskikh nauk;
KRAUKLIS, A.A., inzhoner, JMWOV, L.B., inzhener; IAPIN. Y.B..
inzhensr; IASTOYSKIY, V~P.. dotsent; LATUNIN, H.I., inzhener;
MARVAOT, K.G.# professor. doktor takhnicheakild, nauk.- MAM]ATIOV.
R.L. professor. doktor takhnialieskikh nauk; NIKANOROV, V.A.. la2he-
ner; OSXOLKOV, K.U., inzhoner; OKHOSHIU,L.I., inzhener; PARMOV,
K.A.,.dotsent, kandidat tekhnichesitikh nauk; PERTSOVSKIY. L.M.,
iU2heAer;. POPOV. I.P., in2haner: KR51flFAYg B.G., lnzhener; RATTER,
M.P., inthener; ROSSLrAVSKlY, G.I., dotsent, kandidat tekhnichetakikh
nauk; RUOY, I.I., kandidat teklmichnskikh nauk; RYSHKOVSKIY, I.Ya.,
doteent, kandidat telChnickwiskildn nauk; RYABKOV, A.Ya., professor
(deceased.1; TAGER, S.A.. keindidat tokhnicheakikh nauk;-~~".,
professor, doktor tekhnicheskikh nauk; CRERNYSHEY, M.A., doktor
tekhnichuskikh nauk; Will, L.Ya.. professor, doktor tekhnicheal:ikh
nauk; IVitBIFAV, B.U., doteent; AMNNGV. I.Ya.. dotsent, kandidat
tekhnicheskikh nauk-, ARKHAIJUIVSKiY, A.S., inzhaner; BARZIM, P.V.,
professor, doktor tekhnIcheskikh nauk; BARNGARD, K.A., kandidat
tekhnic)mkikh nat*; BUROYOr, N.Ye.. dotsent, kanAidat tekhnic'meskikh
nauk; B03DANOV, ll,&., Imloner; BOGDANOV, N.K., kandidat takhnLche-
skikh nauk-, VINNICINSKO. N.G.. dotseat, kandidat ekonomichaskikh nauk;
(Continued on next card)
ISMOVICH, I.I.--(continued) Card 2.
VASIL'YEV, V.P.; GONCHAROV, N.G., Inzhener; DIRIBAS, A.T., tnzhaner;
DOBROS.WLISXIY, K.M., dotsent, kandidat tekhnichaskikh nauk; DOGACH,
B.A., kandidat tekhaicheakikh nauk; YHYINOV, G.P., kandidat telchni-
chesirikh nauk.- 7SKBLIIIOV, 3.V., professor, doktor tekhnicheskikh
nauk; ZARALLO, H.L., kandidat tekhnicheakikh nauk; WIN. K.P..
kandidat tekhnich,3sklkh nauk.- XARWINIKOV. A.D., kandidat takhaicbe-
skikh naak; KAPLUS. F.Sh., Inrhener; KANSHIN, M.D.; NOCHREV, F.P..
professor. doktor tekhnichmakikh nauk; XOGAH. L.A., kandidat tekhni-
cheskikh nauk; MXHMIN. S.Y., inzhener; LNVASHOY, A.D., inzhoner;
HUMIMOVIGH, B.H., dotsent, kandidat takhnicheakikh nauk; MARTYNOV,
M.S.j inzhener; MALI, O.K., inzhoners, NIKITIN. V.D.0 professor@
kandidat tekhnichookikh naak; PADNYA, V.A., Inshener; PANTBUYNT, P.I.,
kandidat tekbnicheakikh nauk; MROV, A.P., professor, doktor tekhni-
cheskik*h nauk; POVOROZHINKO, V.Y., professor$ doktor tokhnichaskikh
nauk; PISKAREV, I.T., dotsent, kandidat tekhnicheskikh nauk-. STSRGMYV,
Yeo$,, kandidat takhnichaskikh nsuk; SIKONOV, K.S., kandidat tekhni-
chakikh neuk; SIMAHOVSKIY, M.A., inshener; SUYAZOV, I.G., InzIlenerl
TAIDAYEV, F.Ya,, inshener; TIOCRIOV, K.K., kandidat takhnichockikh
nauk; USHAKOV, II.Ya,, inthenr; USFANSKIT, V.K., inzhener; FILIMUll,
N.D., laindidat takhnichaskikh nauk; M0011TOV, G.V., inthener;
KHOKUMV. L.P., inshenr; CHURNORODIX, G.I., professor, doktoi?
tekhnichookikh nauk; SHAMAYAV, HAI., inthener; SHAYIRKIN, B.L,
inthener- YAWSPIN, S.I,, inzhoner; GRANOVSKIT, P.G.p redaktor;
TIS~ A.Ii, redektor-,-ISAY,'V, I.P., Aotsen-t. kandidat takhai-
cbeekilch nank, :redaktor; KLIMOY,'. 1.Y., dotsent kandidat tekhni-a-beekikh- -7
(Continued on next card)
BENESHETICH, I-I-T-- (continued) Card 3.
nauk, radaktor; HARKOV, H.V., inzhaner, rodaktor; KALININ, T.K.,
inzhener, radaktor; SUFABOV, Y.N., professor, redaktor; SIDCROV. U.I.,
inzhener, redaktor; GHRONIXUS, B.Ye., kandidat tekhnichaskikh nauk,
red.nktor; ROBNW, R.I., otvatstvenrqy redektor
LTechnical reference manual for railroad engineers] Takhnichaskii
spravochnik zhelaznodorozhalka. Moskva. Goo. transp.shol-dor. izd-yo.
Vol.10. LElectric power supply for railroads) Xnergoonabshento sbales-
-X.G.Har-kvardt. 1956. 1080 . VolMe
nykh doror. Otv.rad. toma p
(Operation of railroads) Skspluntateiia zheleznvkh dorog. Otv. red.
toma R.I.Robell. 1956. 739 p. (KIRA 10:2)
1. Gblen-korrespondent Akademit. nauk SSSR (for Petrov)
(Electric railroads) (ftilroads-Hanagement)
SOV/124-57-3-2957
Translation from: Referativnyy zhurnal. Mekhanika, 1957, Nr 3, p 45 (USSR)
AUTHOR- Khazen, M. M.
TITLE: Discharge Rates and Pressures of Steam and Gas Turbines Under
Operational Conditions Other Than the Design Condition (Rafikhody
i davleniya pri neraschetnykh naloviyakh raboty parovoy i gazovoy
turbin)
PERIODICAL: Tr. Mook. tranap,-ekon. in-ta, 1956, Vol 3, pp 167-176
ABSTRACT: The coaditions of operation are investigated for a group of reactive
stages of a turbine operating outside the design range on the
premise of subcritical flow. From the equation of continuity, and
assuming the velocity coefficient to be constant, the author obtains
an equation for the determination of the steam discharge rate
through the turbine. The expression obtained differs somewhat
from the analogous FWgel formula. Comparison of test data with
-the-results -of the -calculations shows '.hat the-magnitude of
error in the calculation increases, attaining as much as 4-50/a.
Card 1/1 for operations of the turbine far outside of its design range.
L. I. Kiselev
MU I KIM.* doktor tekhnicheskikh imik, professor.
Tariable operating conditions of the exhaust steam blast pipe
and turbines on locomotives. Sbor.trud " shel.transp.no.4:
145-176 156. (MM 10:2)
(Locomotives)
MWn, M.Y-. prof., doktor tekhn.nauk..
......................
Technical and economic efficiency of using gas turbine locomotives.
Zhel.dor.transp. 39 no.9:20-25 5 157. (min 10:10)
(Gas turbine locomotives)
KHAZINI _jklP.MiMbAnalaWk
ETechnical and economic effectiveness of gas-turbine locomotives]
Takhniko-akonoolaheskala offektivaost' gstoturbovotas KoeLva.#
Tranazheldorisdats 1957* 67 P. (MMA 14:4)
(Gas-turbina locomotives)
INA23N, Moisay Mikhaylovich, prof., doktor takhn-n8uk; ZHIRITSKIT, G.S.,
prof., doktor takhn,nauk, ssoluxhannyy dayatell nauki i takhniki,
reteensent; RMCHMO, L,A.g kand,tothn,nouk, red@; MM)VZWA#
N.A.-. tokhn.red.--
[Gas turbines for locomotives] Lokomotivnye gazoturbinnye
ustanovki. Moskva. Yess.isdatellsko-poligr.ob*edinania 9-va
putei soobshcheniiat 1960. 419 p. (HIM 1339)
(Clao-turbine locomotives)
KHAZZN, 14.M prof .
Determining the torque of a traction gas turbine. Trudy MIIT
no.138:20-34 161, (MIRA 14:12)
(Gas turbines-Testing)
S/26!j 62/000/014/010/016
1007/1207
AUTHOR: Khazcn, M. M.
TITLE: On the determination of the torque in traction gas-turbines
PERIODICAL: Rcferativnyy zhurnal, otdcl'nyy vypusk. 42. Si1ovyyc ustanovki, no. 14, 1962, 32, absteact
42.14.197 (Tr. Mosk. in-ta inzh. zh.-d. transp. no. i38, 1961, 20-34)
TEXT: An equation relating the torque in gas-turbine stages to the rotational speed has bccn derived
from the continuity and energy equations as well as from the velocity-triangle expressions. Other equations
have been obtained for determining the turbine reaction rate and the gas flow through the turbate stages
in dependence on the rotational speed. I 'Russian Abstracter's note: As it results from the author's calculation,
upon sudden reduction of turbinc-rotor velocity (down to zero), the gas flow through the turbine tends to
increase by 20 % as compared with the rated value. Calculations and experiments by other authors have shown
that in the most favorabie-cascl i.e. at a high reaction rate and small pressure drop in the stages the gas flow
through the turbine stages only increases by 3-5 % and not by 20 % at a low reaction rate as assumed by the
author.]
(Abstracter's note: Complete translation.]
Card III
KHAZEN, 1-loing 1,11".liqlovich; IVANOV, Igor' Ivanovich; AROEOVICH.
,-Mon '=WfeF ~,-~-,YEV, A.A., kand. tekJm. nauk, dot's.
retsenzent; EELINIK, V.A., inzh.) red.
'lloat and power systGzs] Teplosilavoe klioziaistvo. Moskva,
'..ranuport$ 1964. 329 P. (M.IRA 17:8)
1. Leningradskiy in5titut inzhenerov zheleznodorozhnogo trans-
porta (for Yemolayev).
KHA?FN, M,M. prof.
-- -.1-_.,__k_..,. __
consi~bncharacteriatics of a gas-turbine plant in electric
power stations. Trudy M1IT no. 179180-91 164.
Significance of the boosting of the initial parameters of the
steam in heat and electric power plants. Ibid. t 1 :7)
.41
KHAZENI) Z., prepodavatelf
Graphic works on mechanical drawing. Prof.-tek-h. obr. 21 no.10:
19 0 161, (MMA 17: 11)
1. Profesolonallno-takhnicheskoye uchilinhche No.2 Moskovskoy
oblasti.
-- - - - ---- -- -.-- - - - --.- ---- ------ -- -- ---
GRINSHPUNq L*Teo, moVor mede'slubby.# E-JAZINSOIL - b -,A~djv1uzh*~
_Vital
kandemadenauk - I -- *-I , - .II '-
Carriers of Breslau-type bacteria, Toan.-med'zhur, n0.1200 D 155
0
(MLIA 2281)
(BALMMOMU TYPRIXURIUX)
KHAZINSON. L.B.; BIRGER. M.O.
Using filter paper dines for deteraining the sensitiveness of
dysentaric pathogens to antibiotics* Iabodelo 2 no-3:23-25
my-je 156. (KIRA 9:10)
(BACTERIA, PATHOUNIC) (ANTIBIOTICS)
K 7-
SOMOVI G.P..; IMAZANSON, L.B.
lmnj~'&.h of Incubation in dysantary. Zhur.mikrobiolspido I Irmun,
28:nool;.16-17 A '57- (MIRA 10:3
I., IsM Toonno-morskogo infoktalonnogo gospitalys
(DYSINTRY BACIT"BY pbratology,
iucub;tion time (Run)).
SOMOV, O.Ps; MAMMON, J,.B.
Some clinical bacteriological chnracteriatice of the cArrying of
dysentery pathoge -no in Ohenlthy" perRons. Zhur.mikrobiol.epid. i
immun.,oupplement for 1956.49-50 --157 (9 IR.A 11: 3)
(SHIGSLLA)
13
SOMOV, G.P.-, KHAZI2150M. L.B.
Jdpidemiological characteristics of the carr7ing of bhigella
k-eenteriae by normal subjects. Zhur.mikrobiol.epicl. i immun.
28 ao.8:130-131 Ag 157. (KIRA 11:2)
1. Is saniterno-spidemiologichaskoy laboratorli. Yladivostok.
(DYSEIVERY. VACILIARY, tranamis 8ion
carriage by normal subjects (RUBI)
AISFMLSS, I.N.; :FRII)W, KW-,iHIHA, T.A.; STENIYA, YO-S-; MUZZNSON, L.B.;
TARASOVA, Ye.F.
Influenza pandemio of 1937 andcartain epidemiological and virological
characteristics of influenza in Leningrad. Vop. virus 4 no.1: ja-T 159
t Un 12:4)
1. Ieningradskiy institut epideniologii. mikrobiologii i. gigiyevq Inent,
Pastern. leningradakaya gorodakaya annitarno-epidemiclogicheakaya etant~-
stv.a i 39-ya poliklinika.
(INFLUENU, epidemiol.
in Russia (Ras))
NOVI)GORODSKAYA, S.M.; KHAZENSON.L.B.
Coli enteritis and principles for -the organization of its
control among young children. Pedlatriia no-5131-36 161.
-(KIRA
1. Tz laboratoril kIshecbx**h infektsli (rukovoditell E.M.
Novogorodakaya) i sektora opidemiologii (rukovoditell I.M.
Ansheles) Instituta, epidemlologlip mikrobiologiJ i gigiyeny
Imeni Pesters, (dix. -_ kandmed.nauk Mae Nikitinj zame
dire po nauchnoy ohasti - prof* Kell* Tokarevicb).
(ESCMUCHIA COLT)
NOVGORODSKAYA, E~M.; KUZENSONt L.B.
Certain epidemiological rules in colkenteritig~jr infants. SO-*
med. 25 no-.236E~-74 F 161,- (MIT % 14:3)
infektsiy OM
1--j- - 1z -- labdivit&U. ldv*4~
Institiita imeni PasUra--(- 4--d)-e
(ESOMWORU"C"xi) (INTESTUM-DISEAM)
7 C I
Vj M24n "&A# 44Mj, TS*A&
Za M.,mas of metiirological fao.tore an the Inaidenae'of ftau-
mmpm amd aoute oatumb -of Vas -4615pbutory tracta. trudy 1.4m.i"
ipidA mikzcobloi. 222266-173 064 (HIM 16#2)
) i sektora opid=i'
aboratorii pi'l- lmdman
vtm 0-
TJL Anshelee jd**&i@dj)'jAnim,&&kcgo iwtitaull
imeni Pkatera i oteela klimatolooaj
spidamidloCil i mikrobiologii
Mavnoy goofizichookoy observ torii (sav. TeF. ftstukh).
UMIYMAM.-MUEM) (LERINMAD-CATAM)
RMINGRAD-4MTHERPw XWTAL MD AYSIOWGICAL UnC")
KHAZEISON L*B.
~ -I
some probleImig of the-epidemlolo& of colienteritiso Trudd Ian* I .-.
Inst, apido i raikrobiol, 210-14'60o (MIRA 16;65
1. Iz aektora apidemiologii i laboratorli kia)iecbnykh infektaiy
laningradskorp in,,;tituta opidemiologii, mikrobiologii i gigiye-
ny Lmeni Pastura,
(ESCIMICHIA GCOLI) (ILTESTINES-DISBASES)
KHAZE11"Soll I L.B.
Characteristics of colienteritiB foci developing ~n day nur-
series. Trudy let. inst. epid. i mikrobiol. 21*.15-23160.
1 (MIRA 16:6)
sqltora opidenAologii i laboratorii kishechnykh infektaiy
ny imeni Pastera.
(IMMIGRAD--ESCIMICHIA GOLI)
(LENIIIMAD-INTF,STIli-ES-DISEASES)
KRAZENSMI, I.B.
. Characteristico of colienteritis foci devolop:biry in haspitaloo ,
Ti%~4v Len. inst. epid. i mikroblol. 21124-32160.
ObURA 16:6)
.-I. Tz aektora epideiniologii i laboratorii kishechnykh in-
fe'kisiy Loningr--dskogo instituta epidemioloC:-Up mil-robiolo-
gii i giglyony imeni Pastera.
(ESCHERICIIIA COLI) (INTESTIIES-DTSEASES)
LOSETA, A.G.; KHAZENSON, L.B.; DIYACHKOVA, Ye.A.; MONOSOVA, S.M.
ClOW outbreak of diseases caused by anteropatilogenio
Eochirichia coli of the serological type 03.11, Trudy Ian.
inst. epid. i mikrobiol. 21:33-39160. (MIRA 16:6)
1. Iz kaXedry pediatrii I Ioningradskogo meditainskogo in-
W.tuta, sektors, epidemiologii i laboratoril Icishechnyle-h
inNktoiy Lenintradskogo instituts. apidemiologii, mil-ro-
biologii i gigiyeny imeni Pastara, Permy teningradskoy
detskoy tollnitsy i Sanitamo-epidemiologicheako3 i9tantsii
Cktyabrlskogo rayona'tenirgrada.
(LENIIIMAD-ESCHERICRIA COLI)
(MUNMAD-121TESTINES-DISMES)
MM1.8011j, L.B.
Evaluation of the epidemiological significance of conva-
lescents following colienteritis. Zhur. mikrobiol., spid.
i immm. 42 no.7t82-65 J1 165. (MIRA 18:32)
1. Institut epidemiclogii i mikrobiologii imeni Pastera,
laningrad.
T,ITAZEITSW, 1:.If.
Some epidemiological regularities of colienteritis. Trudy
Irk. 1= no. 7010-318 r62 Offuu 19:1)
L Iz sektora epidemiologii Leningradskogo instituta epidemio-
logii i mikrobiologii Imeni Pastera.
L 4872-66
ACC NR, AP5026565 SOUP-CE CODE: uR/o286/65/000/019/0128/0128%1
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TTTLF: Pneumohydraulic shock absorber. Class 63, No. 175401
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(Greatest results with least expenditures] Naibol'shie rezull-
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MZHAU" LX4"
The 'moNmIsm of catalytic dinerliation of acetylene. rxv. AN
Arm, SSR Sbr, khts, nauk 10 no,2:77-81 157. (MIRA 10112)
1. Yerevauskly goaudaretvennyy universitst im. 7.X. Molotov&,
Mfedm-:f iskhimii. ---- - - ~ - r
(Acetylesis) (Polymerization)
KHAZHAMN, L.T.
Machaniism of catalytic dimerization of acetylene. Dokl.AN Arm.=
24 no.2:67-72 157o (MIRA 10:4)
1. Yere-ranskiy gosudaretvanW universitet Im. Y.M.Holotovs.
Predstavleno G.Kh.Bunystyanom.
(Acetylene) (Polymerization)
AROYAN, A.A.; KHAZHAKYAN, L.V.; ARUTYUNV-A-N, A.V.; GRIGORYAN, G.L.
Anomalous chloromthylation of methyl ester of o-isopro-
poxybenzoic acid. Izv. AN Arm.SSR.Khim.naO~i 17 no. 21
176-183 t64. (MTRA 17:6)
1. Institut tonkoy organichaskoy ~himii AN Armyanskoy SO.
-xt
45;
TERZYAN, A.G.; SAFRAZB~KW R.R.; KHAZWYAN, L.V.; TATEVOSYAN G.T.
Derivatives a."indole. -Report_No.gt Products of rutaecarpim,
reduction with lithlum alwdv= hydride. Izv.AN Arm,,SSR.Khim.
nauki-- 3.4--".#4s393-399 161.
1. inatitutt-c-nkoy arganicheakoy kbimli AN Armyanskoy SSR.
(LA016)
KHAZHAKYAN,_~.V.; MMTARYAN, A.V.; GRY10RUN, G.L.; TATETSYAN, C.T.
Derivatives of indole. Report No.12: Structure of benzyliden e
and some of its derivatives*. Two Art ArmeSSR.Khim- nauki, 16 t2mtlll - - --- -
181-189 163 jMIRA 17t8)
1. Institut tonkoy organicheakoy khimii AN ArmSSR.
KHAZHALIYA, G. YA.
0 konformnom otobrazheriiJL dvukhsvyaznyM oblastey na kol'too. Tbilisi, Trudy Hatem.
In-ta. Gr. fil. AN, 1 (1937),--89-105-
S0: Mathematics in thet USSR, 1917-1947.
edited by Juroah, A. G.
tiarkuahevich, A. L.
R
I
ashevskiy, P. K.
Moscow-6eningrad, 1948
KHAZIIALIYA, G. YA.
K teorii konfor=ykh otobrazheniy dvukh"znykh oblastay, tbilisip trudy matem.
In-ta. Gr. ?i1. An., 4 (19J8)0 123-134.
SO: Mathematics in the USSR) 1917-1947.
edited by Jurosh, A. G.
Markushevich, A. L.
Hashevskiy, P. K.
Moscow-Leningrad, 1948
KHAZHALIYA. G. YA.
K toorii konformnykb otobrazheniy dvukhavyaznykh oblastey, DAN, 20 (1938), 75-78.
SO: -14athematics-in -the -USSR, --- ___
edited by Jurosh, A. G.
Yarkushevich, A. L.
Rashey3kiy, P. K.
Moscow-Leningrad, 1948
KHAZIALIYA. G. YA.
K teorii konformnykh otobrlDheniy dvukhsVaznykh oblastey. Matem. SB., 8 (50),
(197 -
40)~,97--W6
SO: Mathematics in the USSR, 1917-1947.
edited by Jurosh. A. G.
Markushevich. A. L.
Rashevskiy, P. K.
I-loscow-Leningrad, 1948
KHA','IfALIYA, G. YA.
K toorii konformnykh otobrazheniy duukheVaznykh oblastay. Dan. 26 (1940), 558-559-
S0: Mathematics in the USSR, 1917-1947.
edited by Jurosh, A. G.,
Markushevich, A. L.
Rashevskiy, P. K.
Moscow-Leningrad, 1948
KHAZHALIYA, G. YA.
Ob oduom minimAllnom svoystve konforunogo oto~razheniya dvukhsvyaznykh oblastay.
Kutaisi, trudy ped. In-ta, 3 (1941).
SO: Mathematics in the! US3R, 1917-1947-
edited by Jurosh, A. G.,
Parkushevich, A. L.
Rashevskiy, P. K.
Moscovi-Leningrad, 1?1~8
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USSR (6oo)
Surfaces., Representation of
Some covering theorems for functions regular in doubly connected
regions, Trudy Mat. inst. AN Gruz. '33R, 18, 1951-
9. Monthl List of Rutisian Accessions, Library of Congress, April 1953, Uncl.
T
SUBMUT
AUTHOR
TITLE
PERIODICAL
U'_-ZFJMATHEMATICS/Theory o',' functions CARD 1 PG 433
CWALIJA G,Ja.
On the stationary MoveiRiAt of a:fluid in a tube of nearly
circular cylindric form.
Mat.Sbornik, n Ser. 38L 93-106 (1956)
reviewed 12/19;6
The author eeduoes s.formula, for-the approx1mativesolution of-the problem
of the flow of an idsal-fluid with axial-symmetry.in a-tube which-differs
few from a circular cylinder. If thereby the x-axis is taken as symmetry-
axis and if the x,y-plane is a plane passing through the axis in which the
boundary curve is given by y a y(x), then the final formula is
V ~ _H (1 + .1 yy, .1 Y12) + R
WY3 4 4 V
Here V denotes the desired velocity of the flow in an arbitrary point of the
boundary curve, H the quantity of the flowing out in the unit time and Ri
a very small remaining term which serves for the estimation of the approximatione
The assumptions are as followss 1) For finite mean velocity the magnitudes
y~x), yl(x),, y"(x) and yl"(x) are to be uniformly small with respect to xj
2 for the determination of V only those terms are taken into account which
are small (if second order with respect to y(x)p yl(x' and y"(x).
Mat.Sbornil:v n. Ser,. 18. 93-106 ( 1956) CARD 2/2 PG - 433
The applied method Is that of the conformal representation where the author
generalizes a formula due to M.A. Lavrentlev (conformal representations with
applicatio:as to certain questions of Machaniost Moscow 1946t p.118, formula 108)
which reZers to the determination of the elongation of a small strip
O< y< y(x).of the x9y-plane under conformal mapping onto a linearly bounded
strip O< V,4H/2 of the u,v-plane. Here u(%,y) means the velocity potential
and v(x9y) the stream function. ote
The main theorem had already been published by the author in a short n
(Doklady Akad. Nauk 22L 465-468 (1954))l here she gives a detailed proof
and estimations for the exactness of the formula.
67058
0 (to SOV/44--59-9-9002
Tranblatiort'from: Ret.ferativnyy zhurnal.Matematika,1959,Nr 9,p 67 (USSR)
AUTHOR%.Xht&zhaliyat(;.Ya,
TITLE: 6n~a::Wov-erl-ni; Theorem- for- Functions Regular in Doubly. Connected Domains
PERIODICALI Tr.Kutaisak goo.ped.in-ta,1956,18,251-256
ABSTRACTs Let 7_--be-a family of (unique) functions f(z) regular and schlicht
in the annulus DR(l < I z I < R) and f or which I f (z) 1 72), 1 for Z- 6 Dand
R
(z)
dz 1, where 1--r