SCIENTIFIC INFORMATION REPORT

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• Collection: General CIA Records
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• Document Page Count: 108
• Document Creation Date: November 9, 2016
• Document Release Date: January 4, 1999
• Sequence Number: 1
• Publication Date: September 23, 1960
• Content Type: REPORT

~ ~I r C I N r U K rII 1 U l U
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CENTRAL INTELLIGENCE AGENCY
SCIENTIFIC
INFORMATION REPORT
23- September 1960
Distributed Only By
U.S. DEPARTMENT OF COMMERCE
OFFICE OF TECHNICAL SERVICES
WASHINGTON 25, D.C.
Issued semi-monthly. Annual subscription $28.00 ($4 additional for
foreign mailing). Single copy $2.75.
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Use of funds for printing this publication approved
by the Director of the Bureau of the Budget July 31, 1958.
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PLEASE NOTE
Tliis report presents unevaluated information extracted from
recently received publications of the USSR and Eastern Europe.
The information selected is intended to indicate current scien-
tific developments and activities and is disseminated as an aid
to research in the United States.
SCIENTIFIC INFORMATION REPORT
Communications 23
Components 24
Instruments and Equipment 26
Materials 29
Wave Propagation 32
IV. Engineering 33
Automatic Control Engineering 33
Electrical Engineering 39
Mechanical Engineering 40
Mining Engineering 41
V. Mathematics 43
Table of Contents
Biology
Biochemistry
Microbiology
Page
1
Chemistry 7
Fuels and Propellants 7
Industrial Chemistry 10
Inorganic Chemistry 12
Nuclear Fuels and Reactor Construction Materials 14
Organic Chemistry 19
Radiation Chemistry 21
Radiochemistry 22
III. Electronics 23
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Page
Aerospace Medicine
Behavioral Science
Epidemiology
Experimental Medicine
Immunology and Therapy
Oncology
Pharmacology and Toxicology
Phye iology
Public Health, Hygiene, and Sanitation
Radiology
Veterinary Medicine
Miscellaneous
VII. Metallurgy
Physical Metallurgy
Production Metallurgy
VIII. Physics
Georhysical Instruments
Nuclear Physics
Theoretical Mechanics
IX. Miscellaneous
51
82
82
83
85
85
36
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1. BIOLOGY
Biochemistry
1. Shifts in Energy Levels Linked to Radio-Protective Capacity of
Substances
"Energy Levels of Metastable States of Biological Objects and
the Mechanism in the Action of Certain Radio-Protective Sub-
stances," by I. I. Sapezhinskiy and N. M. Emanuel', Institute
of Chemical Physics, Academy of Sciences USSR; Moscow, Doklad
Akademii Nauk SSSR, Vol 132, No 6, 21 Jun 60, pp 1441-17X3
In previous research by the-authors (DAN, Vol 131, No 5, 60, 1168),
it was shown that the action of gamma irradiation on proteins, DNA, and
RNA leads to the rise of metastable (biradical) states which are analogous
to those observed due to photostimulation of these important chemical
cell components.
In this research, the authors studied the energy levels of metas-
table states to find the pathways of energy migration and the most vul-
nerable sites in various complex biological structures, and also, the
fact that such research may point to possible lines for research on
radio-protective substances.
Results of various tests are discussed and are presented in a
table. They show the close coincidence of the wave lengths (1+93, 495)
which correspond to maximum phosphorescence for DNA, radio-protective
agents, and also for the propyl esters of gallic acid. The authors pre-
sume that the transfer of energy from the triplet level of DNA to the
triplet energy levels of the protective substances, as a result of
which injury to DNA is substantially diminished, is the most probable
explanation. In doing this, the molecule of the protective substance
is transferred from the basic singlet level to the triplet level.
Preliminary tests indicate that the addition of propyl gallate and
isopropyl gallate to a protein solution substantially diminishes the life
span, (t), of the metastable states; and the extinction time of protein
photophosphorescence, in which (t) is diminished by a factor of 1.5-2.0,
is clearly evident.
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2. Joint Presence of Cytochromes and of Succinic Dehydroaenese Revealed
in Cytoplasmic Membranes
"The Cytochrome System in the Cytoplasmatic Membranes of
Micrococcus Lysodeikticus,".by N. S. Gellman, M. A. Lukoyanova
and A. I. Oparin, Institute of Biochemistry imeni A. N. Bach,
Academy of Sciences USSR; Moscow, Biokhimiya, Vol 25, No 3,
May/Jun 60, pp 482-486
The purpose of the research described was to trace the components of
succinic oxidase in the cytoplasmatic membranes and to explain their
connection with succinic dehydrase, the primary dehydrase of succinic
acid.
C PYRG H-fhe authors present the following conclusions:
"Cytochromes of the b, c, and a groups were detected in the cytoplas..
matic membranes of the cells of bacteria Micrococcus lysodeikticus. The
joint presence of cytochromes and of succinic dehydrase indicates the
localization of the succinic oxidase system in the membranes. The sup-
pression of succinic oxidase activity during cell lysis is probably linked
with a disruption in the organization of the enzyme complexes and with
the disruption of the terminal link -- the cytochrome oxidase."
Microbiology
3. Studies of the Diffusion Factor Affecting B. pestis
"The Problem of the Relationship of the Plague Microorganism
to Hyaluronic Acid and the Presence of a Diffusion Factor,"
by I. V. Domaradskiy, G. A. Yaromuk and Z. I. Vasii?yeva,
Irkutsk Scientific Research Antiplague Institute; Moscow,
Zhurnal Mikrobiolo ii E idemiolo ii i Immunobiolo ii, Vol 31,
No 7, Jul 60, pp 113-117
The significance of the diffusion factor (reported by Korobkova) in
the immulopathogenesis of plague is discussed. In considering various
pathogenetic factors affecting B. pestis, the authors included a study
of hyaluronidase, which is reported in this article. They found that
theoretical results disagreed with those of Korobkova.
The presence of hyaluronidase was determined in 20 strains of B.
pestis, one atypical strain of Streptococcus, and strains of Staphy-
lococcus aureus and Cl. perfringens. The B. pestis strains were
avirulent strains EV 1, 17 50.74; and avirulent strains TsD, 94.-96,
119, 125, 143, 435, i83, 485-188, 1435, and 1525. The McLean method
of hyaluronidase determination was employed, with modifications pro-
posed by Mogilevskiy, Kogan and the authors, which eliminated a
number of drawbacks inherent in the Smirnov method.
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The gao gangrene pathc'g n was cultured on a Kitt.-Ta:rozzi medium;
Huttinger and Martin media were used for culturing three other species.
D. pectti.s was cultured on liquid and solid media, and Streptococcus and
Staphylococ::ua, on r{olid media containing 5% blood. Culturing on solid
media was rv axried out for 2448 hours; on liquid, for 20. When. rolid-?,
media were used,, the microbial cell coancent rations were 2109 and 5.10.L0
per ml.
CPYRGHT
The following conclusion is offered.-
"Experiments with standard and I'rerlhly isolated B. pestis strains,,
caawried out on a parallel, basis with three species of microorganisms
known to form hya1uronidase afforded a basis for stating that B. pestis
does not contsin the enzyme hyaluronideze, which causes depolymerization
of hyaluron.i.z! acid in vitro end fa,cstl.itat,es otai.n diffusion in vivo."
4.. Influenza VY sus Re roducsPd. From RICA.
"ReprcduaAion of Influenza Virus With the Aid of Viral Ribo-
nucleic Acid." Report, III. Morphological Aspects of the Virus
Reproduced," by R. Port:)c:sii.a, S. Ihimi.tre,scu, N. I. Ionescu,,
I. Samuel, V. Boeru; Buchareht, _Cnrun:tceri le Academies Republicii
P ultire Ro ir..e:, Vol :LO, No 5, May o, p '
The author' used an electron mieroeccopr_ tc. study the morphology of
influenza virus obtained from RNA extra,r::ted frxn one strain of pure type
A antigen. The morpho1.r.,g1x:aa:L picture a,rd the dimensions of the elementary
bodies of the strain obtained in this mwnner di.d. not differ, on the whole,
from those of the iaaitist-1 strain. The a, erage size of the virus obtained
in the first 'ulture and. al ,.,P of the vc1rue obtained after the first passage
on chick embryo u!e,s 100.'7t0.-7 m ? . These values are the same as those of
the initial virus from which the RNA vas ckf..alned.
Serol,?gi.c .:t,n-,restlgat;ions substantiated. the :antigenic similarity of
the strain prepared from RNA to the in{t; sl strain.,? The morphological
data obtained by the autho:rrs -r---rifted their suppe-)aitiorz that a receptive
cell synthesize; a, ccmpiete influenza viii; from the nucleic acid mole-,
cute introduced.
Three graphs shoo the fregi eno.y of appears re of elementary bodies
of the initial tatra.iz3,, of the viral RNA, and of the final virus . Four
electron photoricr. ographr: of the vxaxb:,uia elemerat,axy bodies are included.
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5 . r oot-.anc'l.-Mouth Virus Studies
CPYRGHT
"The Problem of the Modifiability of Types of Foot-and-Mouth
Disease Virits," by V. I. Kiridyakov and S. M. Filippovich;
Naaledstvennost' i Izmenchivost' Rasten , Zhivotnik i Mikroor-
gan1zmcv (Heredity and Modifiability of Plants) Animals and
Microorganisms), 1959, pp 354-359 (from Referativnyy Zhurnal
Biologiya, No 8,25 Apr 60 Abstract No 33593, by G. A. Koslov-
ski~y
"This review of the authors' research presents data collected for
20 years (1937-1959) on types and variants of foot-and-mouth disease
virus isolated in Kazakhstan and neighboring areas. It was established
that types 0 and C foot and.-mouth virus c .i,.sts for a crmparatively brief
period under natural epizootic conditions, changing into variants of type
0 or OA. It was determnined by observation of foot-and mouth disease
epizootic, that the repeated entry of the virus into the immune animal
organism creates specific conditions for metabolism which makes possible
the formation of new antigenic properties of the virus. In experiments
on guinea pigs and cattle, the modification of type characteristics of
the foot-and-mouth virus is achieved by repeated introduction of the same
strain into an immune animal. Modification of the foot-and-mouth virus
occurred in experiments on guinea pigs with standard type strains: with
type 0, after 16-35 infections; with type A., after 9-49 infections; with
type C. after 5-9 infections; with vH,riart O, af"ter. 15-27 infections; on
cattle: with type 0, after 10-11 infections; with a variant of type 0,
after 3 infections; with a variant of type A2, after 3-4 infections;
with type C, after 4 infbctions. Vaxdations of Ta vines depended on the species of
the animal and the immuno)ogical condition of the organism. Modification occurred
mote rapidly in c xtEle than in guinea pigs; in one immune organism, several
strains of virus with different antigenic properties., which were pre-
served without. change for a long time., wer- obtained by repeated infec-
tion with the same type of virus."
6. Dec:omposition of Foot-and-Mouth Virus in Tissue Culture
CPYRGHT
"The Dynamics of Decomposition of the Foot-and-Mouth Virus in
Single-Layer Cultures and. Suspensions of Trypsir_ized Calf Kid-
ney Tissue," by V. A. Sergiyev and M. I. Yashenkina, Dokl.
VASKhNIL (Reports of the All-Union Academy of Agricultural
Sciences imeni Lenin), No I+, 1959, pp 16-18 (from Referativnyy
Zhurnai Biolo rya, No 2, 25 Jan 60, Abstract No 4985, by B. F.
Semenov)
"Single-layer cultures or cell suspensions of trypsinized calf kidney
tissue were infected with a swine strain of type A foot-and-mouth virus
adapted to calf kidney cells. In the one-layer culture liquid, the highest
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viruu titer (106.5 to 107'5 ID50 per ral) was observed within 24 hours
after the beginning of the experiment; during the next 4-6 hours it
remained at the level attained, but decreased sharply after 72 hours
(10L0 to 1026 ID50 per ml). The maximum quantity of virus appeared in
the cell suspensions within six to eight hours after infection; the
titers decreased after 12 hours. It was shown that the one-layer culture
cells remaining intact 24 hours after the addition of infectious material
continued to produce virus after replacement of the medium, but in very
limited amounts."
7. Cholera Vaccine Production Studied
"A Study of the Technological Process of Cholera Vaccine Pro-
duction by the Deep Method," by Z. Ye. Taranyuk, Sb. Tr. Gor'-
kovsk. N.-I. In-ta Epidemiol. i Gigiyeny (Collection of Works
of the Gor'kiy Scientific Research Institute of Epidemiology
and Hygiene), No 3, 1959, pp 70-80 [from Referativn Zhurnal
Khimiya -- Biologicheska a Khimiya, No 6, 25 Mar 60, Abstract
CPYRGHT No 702]
"The possibility of culti..ring Vibrio cholerae in an aerated liquid
culture medium is indicated. The greatest number of microorganisms are
reproduced in seedings of Vibrio cholerae in bouillon, the polyfabricate
of which contains 300-500 mg% amino nitrogen. Cultures of different ages,
cultured under different conditions, can be used as seeding material. The
culturing of Vibrio cholerae in a reactor can be continued for not more
than 12 hours; after 12 hours the intensity of cell proliferation diminishes.
It is demonstrated that the more microbial cells the initial culture contains,
the higher its immunogenicity. In 56.6% of the microbial suspensions, the
content of microbial bodies decreased from 10 to 70% after treatment with
formalin with respect to the initial number of microorganisms. An increase
in the amount of formalin up to 1% during sterilization of microbial suspen-
sionsof Vibrio cholerae minimizes the decrease in the standard of microbial
suspensions prepared from certain strains of Vibrio cholerae and does not
affect the immunogenicity of the vaccine."
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d. Role of I 'roteins and Nucleic Acids in Heredity of Virus Characteristics
CPYRGHT
"Genetic Problems in virology," by K. S. Sukhov, Nasledstvennost'
i Izmenchivost' Rasteniy, Zhivotnykh i Mikroorganizmov Heredity
and Modifiability of Plants, Animals and Microorganisms), 1959,
pp 161-168 (from Referativn Zhurnal Biolo i a, No 8, 25 Apr 60,
Abstract No 33564
"This article is a critical review of the role of proteins and nucleic
acids in the determination of inherited characteristics of viruses. Verifica-
tion of the fact that bacteri.ophages and pure viral RNA and DNA completely
devoid of protein can stimulate the infection process does not yet have a
definitive experimental basis. It has been proposed that the internal pro-
tein observed in tobacco mosaic viras is a nonremovable component of the
virus, without which its further development and replication is impossible.
The author calls such a structure a 'generative nucleoproteidI."
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II. CHEMISTRY
Fuels and Propellants
9. Detonation Parameters of TNT - Hexogen) Mixtures
"Parameters of the Detonation of Trinitrotoluene-Hexogen Mix-
tures," by A. N. Gremin and G. A. Adadurov, Institute of
Chemical Physics, Academy of Sciences USSR; Moscow, Izvestiya
Akademii Nauk SSSR-Otdeleniye Khimicheskiy Nauk, Nob Jun 60,
pp 1130-1131
It was established that the index of the polytropi.c curve of the
explosion for mixtures of trinitrotoluene with hexogen can be calculated
from the known values of this, index for the individual components.
10. Kinetics of the Thermal Decomposition of Dinitr9?;ydiethy1nitrM9tU_%.
"Kinetics of the Thermal Decomposition of Dinitroxydiethy3mdi '?'-_7_
tramine," by F. I. Duobovitskiy,. I. Rubtsov, V. V. Barzykin,
and G. B. Manelis, Institute of Chemical Physics, Academy of
Sciences USSR; Moscow, Izvestiya Akademii Nauk SSSR - Otdeleni
Khimicheskiy Nauk, No 6 , Jun 60, pp 1126-1128
The kinetics of the thermal decomposition of dinitroxydiethylnitrami,ne
were investigated by three different methods, viz., on the basis of gas
evolution, the changes in weight, and the heat that was evolved. It was
established that the reaction is one of the first order. The velocity
constants of the reaction were determined. The energy of activation and
the exponential factor were calculated.
11. Chain-Thermal Propagation of Flames in the Case of Two Active Centers
"The Theory of Chain-Thermal Propagation of Flame; Part I Two Active Centers" by L. A. Lovachev, Institute of Chemical
Physics, Academy of Sciences USSR; Moscow, Izvesti a Akademii
Nauk SSSR - Otdeleniye Khimieheski.kh Nauk, No6,Jun 60, pp
1022-1029
For a chain reaction with two active centers which successively react
with the initial substances and regenerate each other, a relation has been
derived on the basis, of which the velocity of flame propagation can be
determined under consideration of the diffusion of these active centers
and al,3o of the rate'of generation and velocity of quadratic termination
of chains. The theoretical values of the velocity of flame propagation
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have been calculated for two canes of the conthLucctioti o:C c0t1orine-1aydrogen
mixtures o The va].'eiea were fou.'i't to 'be i!~ ftrt,i;jsfeei;c,'ry agreement with
experimental data. The chr?racter*,, atJ cc c.: the mu7a,tio:ic between the
velocity of flame propagation and the pressure and temperature of combus-
tion have been cons idered :Croce a qualitative sta.idpoint, starting from
a aolutiots in whic, the diffusion of two active centers was considered
&:.d cornpared with the results the; follow front the analysis of e simplified
scheme postulating an v tivr~ center of one species only.
12. MechanLsm of gatioi2 o! ]3t :_' om? rz i1eterogeneous Exothe n a,1
"Relaxation Mec',oatir3t1 of Propagation of BLl3:'n::'ct3 .tn - el.e ogen-ous
Exothermal Systamo : Par. 2" by Z. 1. Fur (Loninarrad,) ; Moscow,
Zhurnal Fi; icheskoy Vol 34, No 6, Sun 60, pp 1299-1306
The hypothesis proposed, z'ela't:'r. g the velocity of p'ropagat. o:r. of burn-
ing with the :neat tra s:Ce;? in 'the condensed phase and only ; nci i ractly
accounting for the '?S ':1.^'~;:? cF~ of -L-!,.e cher:!tical react'i ons over the temperature
of combustion TB acid the tertpe::?a'';u:7a of the reaction p.-codwcts T , made
it possible to give a c;yrste:ttat::c ex-planation of tic Phenomena obse::'ved
duz'i,r:g the 'Narni:.ig of s:-)me belie;'o,s;eneoT, exoth.e 'tai s1?s'L?ernr3, 9.. cluc?ing
phenomena that L!,! not l rz~nd t'aef s ;? v eS to :i nto2 Iretat' oil by theories
ralating the velocity of Fr3pagatio:?, oy burniniT only frith chemical re-
actioil kinetics. Calcu"Le:P,ilx1 carries. (iY', w:1- h. t,,!'!e aid of the fo:cmulas
obtained 'ti:i.ttl P-1-1. l. this
Tlaka6 it ^Ia.GO::E3~~..: to C;rkleC?t i^'d,t the l'1C1CtG'~ for tit?
proposed mecnaa.:nism
of 'D'ram n car 3'E f3 pe..~ ..t. ie ' t + - . ,~ , PrOC?-
s e ..;1 L e:st t_-, the Fbc.,.,t. )r -syc~:-.
esses teki:3g place Li :thew s"yrste o .
At the sartr' 1;i iCCe tole h.-put'netjs :i..l'Go1 vas t? 111119n r o::, assaniptions
that do ?.iot have a physice::. bas-la. That means thvt it re-
quires f:rther Ci'3 v I::lojyi - t'..i t a Cow :ra,iz, ad of C~'!li"'Lon e
011ye'_"UF'Ci ) nPast be
t e ;?1iiJ..L u for x -- - co. We assume that %0 "(u)" 0 and
that 41(u) has continuous derivatives up to the fourth order. Several
theorems were shown valid without the assumption that t) "(u) # 0.
67. It Cycle for a System of Two Nonlinear Differential Equations
"Existence of a Limit Cycle for a System of Two Nonlinear
Differential Equations," by S. A. Markosyan, Leninakan
Pedagogical : ' :.titute imeni M. Nalbandyan; Yerevan,
Doklady Akademiya Nauk Armyanskoy SSR, Vol 30, No 1,
May 60, PP 13-18
In the present work sufficient conditions are established by a
"geometric method" for the existence of a limit cycle of a system the
form
d = If(x)+ (9(Y) ] P(x, Y)
(1)
kY : [g(x)+ *(Y)] Q(x, Y).
at
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One partial case of this ayutun ic; also conHidor. ed.
The problems of existence of limit cycl -'s for the syeitcm (1) with.
(y) - y, q(x) A x were considered in the works. by the author apps sr--
ing in DAN Arm SSR, Vol 23, No 4, 1956, pp 15,3-1.59 cut Izve-, t;i' Vysshilth
Uchebnyh Zauedeni.y, Matematika, No 2, 1959, pp 114-121.
In the present work it is assumed that the origin of coordinates for
the system (1) is a unique singular point on the entire plar.ie and that
the right sides, of the equations in question are defined, continuous on
the entire plane, and satisfy the L.psch~.tz eor:?dition in every bounded
fart of that plane. Existence of the limit cycle is proved with the help
of the known theorem of Bendictson.. The limit cycle always exists in a
to ;-shaped.region not containing the singular, point, through the
bound- o1 which the integral. curves ocdy pass or only emerge. In this
ca5ou the inner boundary of the ring may coincide with the singular point.
(. 8. Expansion of a Boundary Value Problem for an L+tegrrodifferential.
Equation in Terms of Eigenfuxactiona
"Expansion in terms of Ei}zenfunctions of a Boundary Value
Problem for an Integrodifferential Equation :Having a
Retarded Argument," by A. B. Nersesyan, Institute of
Mathematics and Mechanics, Academy of Sciences, Armenian
SSR; Yerevan, Izvesti Akadc. rii Nauk Armyansko SSR
Seriya Fiziko-Matematicheskikh Nauk, Vol 12, No 6, Nov/
Dec 59, pp 37-
A boundary value problem of the Sturm-?Liouville type is investigated
fora differential equation of the second. order having a retarded argument.
A problem of this type, in a somewhat less general presentation, was
considered in the work by S. B. Norkio.,, "Concerning a Boundary Value
Problem of the Sturm-Liouville Type for a Differential Equation of the
Second Order Having a Retarded. Argument," Izv. V,ysshikh Uch. Zav.,
matematika, No 6(7), 1958; however, only asymptotic fommlas for eige?n-
functions were obtained by him. The problem concernI g expansion in
terms of eigenfunctions remained. open.
Mutually conjugate boundary value problems for an integrodifferential
operator having a retarded argument are presented in section 1 and
asymptote for the eigenfunctions and e3.genvalues is studied.
In section 2 a Green function is constructed for the considered
integrodifferential operator.
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In section 3 a biorthogonal system of eigen and .adjoint functions
of mutually conjugate boundary value problems is constructed and. the
asymptotic formulas are made more exact.
For the limitations defined in section 1 theorems are proved
concerning the expansion in terms of Frig; n and. adjoint functions,
uniform convergence with ordinary Fourier series and convergence In. the
mean.
The author expresses appreciation for the advice given him by his
teacher and M. M. Dzhrbashyan, Academician of the Academy of Sciences
Armenian SSR.
69. Class of Systematic Codes Considered
"Concerning; One Class of Systematic Codes," by V. I. Leven-
shteyn, Mathematics Institute imer i V. A. Steklov, Academy
of Sciences USSR; Moscow, Doklady Akademii Nauk SSSR V.-)l
131, No 5, Apr 60, pp 1011-101
A class of systematic codes is considered with detection and correc-
tion of errors which are obtained during utilization of one of the algori-
thms of code construction proposed by V. I. Siforov in his work e.ppearing
in Radiotekhnika i Elektrorika Vol 1, No 2, p 131, 1956. The power of
the codes of the considered class is within those limits which are known
at the present time for the maximum power, of codes. Certain properties
of these codes are investigated and methods to reduce overshooting during
their practical construction are indicated.
70. Reduction of Order of Integrodifferential Equations
"Reduction of the Order of Integrodifferential Equations
With Ordinary Derivatives satisfying a Given Lie Group,"
by Yu. K. Uzakov, Tashkent Textile Institute; Tasnkent,
Izvcstiya Akademii Nauk UzSSR, seri? Fiziko-Matematicheskikh
Nauk, Vol 2, May 60, pp 10.20
The first problems concerning application of the theory of S. Lie
groups to integrodifferential equations with constant limits were con-
sidered in the work of 1. S. Arzhanykh, "Application of Lie groups to
integrodifferential equations" Nauchnaya Sessiya AN UzSSR 9-114.
191+7, AN UzSSR, 191.7. In the works by the author, appearing in 17y.
AN UzSSR ser. Fiz.-Mat, Nauk, No 3 and No 1+, 1958,9 integrodifferential
equations of the first and second order were constructed satisfying a
given Lie group.
.. 11.6
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In the present work construction of integrodifferential equations
with ordinary derivatives, satisfying a given Lie group was investigated
further, and in particular, an equation of the following form was con-
sidered:
H(x,Y(x), y'(x), y"(x), . . . , y(n)(x) ) =
b
a K(x,Y(x), Y'(x), Y"(x), . . . y(k) (x),
Y( 0, Y'(0, Y"( 0. . . ,y( Z)( ~) ) d~ ,
where a and b are constants, and the whole numbers n, k, Z are fixed.
71. Analysis Problems of Markoff Processes
"Markoff Processes and the Problems of Anal.-?sis Associated with
Them," by Ye. B. Dynkin; Moscow, Us ekhi Matematicheskikh Nauk,
Vol 15, No 2(92), Mar/Apr 60, pp 3-2
The article was divided into the following sections:
1. Introduction
2. General problems of the theory of Markoff processes
3. Form of an infinitesimal operator, generalized diffusion processes
4. Harmonic, subharmonic, and superharmonic functions associated
with a Markoff process
5. Additive functionals and associations with their transformation
of Markoff processes
6. Stochastic integral equations
7. Boundary value problem theory of differential equations and
asymptotic behavior of trajectories
8. Conclusion
47
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72. Solvability of Mixed Problems Discussed
"Concerning the Solvability of Mixed Problems for Hyper-
bolic and Parabolic Equations," by V. A. Il'in; Moscow,
Us ekhi Matematicheskikh Nauk, Vol 15, No 2(92), Mar/
Apr 60, pp 97-15
? CPYRGHTThe content of the above work is as follows:
Chapter 1. Summary of the works concerning a mixed problem
Part 1 Formal system of the Fourier method
Part 2, Summary of the results contained in educational literature
Part 3 Investigations pertaining to the wave equation
Part 4 Generalized solution of a common hyperbolic equation
Part 5 Further investigation of a hyperbolic equation
Part 6 Concerning determination of a classical solution and its
uniqueness
Part 7 Solvability of a mixed problem for a hyperbolic
equation in an arbitrary normal cylinder
Part 8 Basic of the Fourier method for a parabolic equation in an
arbitrary normal cylinder
Chapter 2. Uniqueness of the classical solution in an arbitrary
normal cylinder
Part 9 Theory concerning the uniqueness of a weak classical solution
Part 10 Existence of finite energy for almost all t
Chapter 3., Convergence of a basic bilinear series
Part 11 Resume of several results from the theory of an elliptic
equation
Part 12 Convergence of a basic bilinear series of eigenfunctions
Part 13 Convergence of a bilinear series of first derivatives
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 Part 14. Convergence of a bilinear series of second derivatives
Chapter ll. Auxiliary assertions concerning the order of Fourier co-
efficients
Part 15 Two preliminary lemmas
Part 16 Basic lemmas concerning the order of Fourier coefficients
Chapter 5. Solvability of a mixed problem for a hyperbolic equation in
an arbitrary normal cylinder
Part 1.7 Proof of theorem 8
Part 18 Analysis of the conditions of theorem 8
Chapter 6. Basis of the Fourier method for a parabolic equation in an
arbitrary normal cylinder
Part 19 Proof of theorem 9
Bibliography
73? Distributions of Differences and Quotients of Order Statistics
"On the Distribution Functions of the Differences and
Quotients of Order Statistics," by H-J Rossberg, Berlin-
Leipzig; Berlin, Mathematische Nachrichten, No 1/2,
Jan/Feb 60, pp 37-79
Let xl, x2, ...,xn be independent probability values with the same
distribution function P { xi .