SCIENTIFIC ABSTRACT FR:BELYAYEVA, A.I. TO:BELYAYEV, Y.K.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000204600022-6
• Release Decision: RIF
• Original Classification: U
• Document Page Count: 99
• Document Creation Date: November 2, 2016
• Sequence Number: 22
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTR

- ~ ,>~ '
L 23G~~ ....., ..... ~~, _, _ . ~ i
'ACC NR~ A~6~J09~~i0 ... ti~ ,
visible regions. using diffraction spsetro~raphs IyD~'S-~m~ntsDwere~}ade z
a double rism mondchromat~r (I7MR~~) . The mE~asure ;
anc~ P The observed ~~.bsorption bands: are
at ~ ,-2, 20 � ~ .... 6p, '~7 ~ and 2~5~ ` ~,~,
'-~ identified with transi~ians 3.ns3.de the 3d- electrl~n shear of~tone~lof
ion in a cub~.c E:~ystal~ne f~.eld, It is shorn that ne 35
;~ _ the absorption- lines iaF Strongly shifted, awing to shobservedttha~t ~t`t~ .
the NaCoF~ into a ma;~n~,tcal~.y-ordered .state. It i $
N
{. ..
low temperatures the s#ate ~~(~H) splite into ~;wo lines (av ~ 3~ .~~-
one of 'which d~sap~e~r~ when. the-temperature ~.s ra3.sed to ~rOK, ~1~1e
. o~sbil3.ty that- this- ~iplitting is ~:ue to excha~;ge intera~aliobt~~~nec3 t
p sc~zssed although the da .
j tween the ~~aramagnetiG,., Ions is di
~ so far dQ not p.~ove thus completely. Tha d~.scuslsonaof ~~e~Aresu, a;
~mc~~.enski for ir~tereslL in the work and
~ ~,Nlat ~~hk,#.n
:.~-. V, Y~rer~z~ko foa~ a E~seuss~.vn of thearesu~ass. ~nfigurs~ j'~~~~
;. ~ or e P w ~~he measurements. Ox~ig {. ,.:.
,. ~`
~nc~ 1 table ,. ~ t
E SUB CODE: 2O~ SiI~~M DA'~'Et ' ~~Ju1~5f OCR l~F+': ~C?2f OTI~ REIN: O0~
~ _
~~ ~~~
~:~~ hard w... ~..,~~ ~. =.z.~~~.~.
~~
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ACC.'NR~ ~p~oo~~~a ~auRC~ cony: ~~/~~.$~./'~~/~0$/00~~'~7$3/~~?,~'~ ~ ~~
.,. ~ ~ ~:
'. ~ -.:
~ AU'~'~O~S: ^Pre~,, V'.~ ay~e~a~A. ~~~; ~~yrnk~v, P. ~.
ORG: Insi;~~u~~ Qf S~1r~c4nd~ie~or~ ~tN SSSR . Len~,n rad ~Inst~itut
f: poluprovo""~~'"~~ _ rs
.. F ,~
f~
-: ~ TI'~L~: S~ru~~ure of i~ne.rgy ~.eve3.s -and exe~iar~~e ~.n~eract~.c~n of �~t~ . -
.. ions in N~Co~'~ ~
SURGE: I?iz aka, tverd+~go to ~a~ v < ~3,, no . ~, ~Q~E~, ?S3-?$?
~ TGIPIC TAGS: enemy b;~nd sLx~uct~xe,cobalt compiound, sin~~,.e oary~~~a~1, ~ "~
- ~ ~:ght abscyrp~lon, o'ptI~~ tranc~:~~.on ~.~.ne ~h~.~t ~ `:
~ ~~ r
~~ ABSTRA,C~': The authors ~.x~v~;~tiga~ecl the s~ec~ru.m of tic~.1~~:' :~.
:# of NaCoF in the in~earva~. from :5, ~G4 to ~4, QQp em~~' { 2 �- a.3~ ~~.~ . ~ ~-
I:: ~ ~ ~ ~;
.. ~r. ....r.WM~.~r.+..~.~w~..-..+..r..r_,._.....~.r..i~..r.~.~~.~.p.n.~r~.~Yl.~.s ~.� , ,..w~ro..w..~rp:~,,..i ..._:2 ....:.�"~^,'. s.'~.,.,,r.~..-w~+:.~rT.x,. .~j y..
., .
~ ACCESSION NR: ~ Ap401!)2.10 ' ~ ~~ ~' ~ Si0056/64/046/002/0488/0491
AUTHORS: ~ Belyayeva, A. I .; Yeremenko, V. V.
;1
' ti orderin a~n the o tical absorp-
TOPIC TAGS: magnesiuun cazbonate, magnesium c~a,rbonate crystal,
light absorption spe~Mtrum, antif~erromagne~tic ordering, optical ab- ; '.
sorption spectrum, a~atiferromagnetic ordering, optical aknsorgtion ,
spectrum, Neel tempe~ra-ture, manganese fluorides, exchange interaction,;
optical band broaden:Lnq, temperature frequency shift
ABSTRACT: To check ~~n t~s universality of the influence of anti-
, ferromagnetic orderi~nq previously diseovered ~-y the authors {ZhETF
44, 469, s1963~, aimi;lar investigations were carried out on the, ab-
sorption sp�ctra of 1M~nCo~, which' has differenfi: erystal~.ii~~e and f�r-

__.___
_i - ~ ~
t
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Sepa=atinn of L'raniur~ and VaYladium
v i, i ~ : ~ ~ .,. ~ _ ~ ; L ,
the solutions :.n which they are formed, this aramo.~zium salts
were isolated for the i::~resti~;~~tion of the sol.tzbility. It ~`a;~
found ths.t t.le ~,
tlr .:0'."�11:Ci~i' :i,C:~i:;3 ]~.t?Lip~ ~~lie 3,t 1~H cy~-by~~
I.1 thus pH-rar.~e the compositior. e� the precip:ltate dc?ea nat
depend cn the H~'-ion col~cen~tration,> Tt was seen that the
formxt:ior. of the atnmoc~ium zu~ary 1_ t~�imetavans,dsi;e proceeds very
slowly,, Mith urs,nium con~~ent_~"ation;; of 5, 10-Qgwatom~l and a
threefold excess of vanadiurl this process is tE~rmirated at
room tE?IDperaturE only after 3 mal.tr~s. He~~.ting the solutions3 up
to boia.in~ thi increa~,r;,;; thy: fr>:rczE~t~.on v~~:locj.ty of thti-;~ ~aj�anyl
trimrtavanaciate to ~. 4,^tl;;ide~x�able ~l,t~~rGe~ T}I` so~,tzbilities of
rrH~~UC~~,C~H)~YO3~, xx~t~uo2iQ~)(vo3)~,~d~,~ x~o ana
NH~CU~`,(VO~~~~ a~,~ U`p 7xr~rt~ detex~mi.r.ed and ure gi~~en, They are
within tho 81f3.gT1? ttldt of the so'ttbilit~r of tree silverhalo~,Penider�
Condi.t:iors a:re liven ur,de.: which the best separatior: of U(VI~
and Y(V'~ is to be expc~cteda
There are & tablos ar,d n r~fer~;~c:;s, j of whir.h are Sovie~to
Caro 3~,~
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.Separation of Uranium and Vanadium

change of the concentration rat:ic~ U:V in thEZ .solution. In oxde�
to attain a complete formation of the complex ar.ian the
precipitates were analyzed not before 24 hours after the
combina.tiono Since it is possibly to synthesize conpaund~l~rith
a small ratio U;V ~rhexeat the share of vanadium is nat an
integer it can be concluded that one by one all OH=groups in
the complex are substituted by metavanadate-anions VO -. In
dependence on the ratio U;V in t}ie initial solu~Lion the pres.
eipitate is formed from one of the �~hree follow~.ng complex
anions: Uranyl tximetavanadate ~U021;V0 ~ ; urany l hydro.xa�
dimetavf~nadate IIO - 3 3~ -
C 2 (AHJ (VO3) 21 f zirE~nyl di hydra~~ometavanadat e
UO2(OH,12V0~1 rt~, This assumption is in good accord with the
composition of the n~s.tural uranavanadates, Tt is i.mpoxtant when
searchirlg methods for the sep.arr~t i. on of uranium tirzz3 vr~tiad~.um
to kno4v the vs.ltiGS fo.r. the s
olubil_:i.ty of t~lt;;~c~ ura.navariadates
and tho lim~.t;s of the pH-value, within which they remain stable.
The present paper deals with these: questions, Sizice it is
Card 2~4 practicall im ossible to ~,.~
Y P .,Ep~~,r,~,tr the fr~~,~ corzplnx acads fr~~tn
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AUTHORS
t TITLE:
PERIODICAL:
Moract-evski Yu~ V. 5OV~ 75-~3-5-11~2q.
y9 y Belyayeva9 A. I. q Ivarova, L. V.
~._,_ W_.~..~-~----- ___....._.
Separation of Uranium and Vanadium (K voprosu o razdelenii
urana ~ vanadiya~
Zhurna,l analiticheskay khimii9 1455 Val 13, N:r ~, pp ETC-~j?5
(USSR
ABSTRACT.': For the separation of uranium and vanadium various methods
are known (Refs 1 ~q.) , rdany of them s hoyrever, ~i: ve but an in��
complete separation; especially in nearly neuta~al solutions
the separation does not proceed completely. Th:i.s fact leads to
the co;aclusion that uranium and vanadium react with one another
under these conditions. This conception is con#"firmed by the
existence cf uranovanadates in natural minerals and by the
smoothly proceeding synthesis of uranovanadates; in aqueous
solutions. In a previous paper (Ref' S~ the authors had proved
that pE~ntavalent vanadium forms Kith hexavalent uranium in
a,c~uaou~~ solution the complex uranova.nadate-�anian. The cor-
responding acid is as well as its salts but little dissociated
in water and precipitates already in concentratians of 5.1O-3g_
Card 1~4 ion~l. The nomposita_on of th;.s precipitates varies with the
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Country UfiaR
C:~tc~;ory t~~icxobiology, Art~,bioeia and ~~�~bRogis. ~~tibiotica.
' ~r.~ur : Ref 7intx`~-??io1.., ~�;0 2~, 198, ;?a 10;7,1
~: ~~~.
~~u thor }gel a ov ~.I.
7ri~titut, --
T 1t].r sapid J='etho~l oP Letorm3 nation o:f ~.~hlartetran~~rol z�a
Activity (iy '.; av of ~c hatz~e of Exl~eri once )
0'r i~~; ~'ub. : ~.nt:~b3otilci, 1 q5 (, 2, J~,o ~~, > r-~~7
.:~i~~ ;reef : 5u~rex~v3,ai;art of the ac~~;~vity of ohlortet.raaycline by th+
xap~id met,~od i~ aaaomplisha~i in Petri dishes ~1.th tiro
~,t~yers Qf' agar: the 1~Q~+ar layai~ cansisto of 2,~~ agar
can a phaei~hate buffer �Mith e. pH of b.~1,4; tho upper
one, of 1P1.2~ e~gar, Keith 1 j~ mgr' of amine n:9ti~ager~
{yeast digest d le. Hottirigar) and i;" gluaase, The
upper leyer ie~ seeded pith 1~p,, jp million bacillary
spores of the mycaid.es type per cubic oes~timeter of
nutrient agar. Inouba.tion i~ carried out a~~ ~~ fbr
thn first hour, and th~eb e.t ~"o far three howcs. Thin
method shortens the t~,raa needed for determination of
aotivity by i x, hauxe s,nd pxnducel~' orlj-` ~ e1l.cbt
Card: (~'S, �1 f7i'~) divergQnae fxcrm thQ Pe�erally~e,oeepted
biological method-wS. P. Shapov~alava.
1 /1 1~~..31
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iJ c.. :.
~` '' ~ ~ I
r
__�
tt/~a~iair~ - I~ari'Iuenza, Prevention yep ~$
Medicine � Antibiotics
"Egperimex~.tal Application of Antibiotics as a
Prophylaxis A~ainet Grippe," T a 1. Yenke l,--L o -~~~- ~ ~
Belyayeva, bi. L. Rubtaova, M. L. Tarifa, 8. I. L~d.e3.�.
ahteyn, Inet Hial Frophylaycie of Infeet~ona, 1~ pp
"Bav lied" No }
Use of Lyeozyme producsed positive results , Stites
that treatment must be started during initial a~,ge
of disease. Use a~ native atreptaigycin and er~tthrin
under similar ciraw~tenoea did not gips >satis~act~~,.
results .
,~
2~
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~ ~~
Modernization of Die-Forging Equipment S~V~~;658
Ch, I. General 'rpblemn in the Modernization of Die-Forging
Equipment, 5
~~ 1. Aa81e trends in the modernization of die-forging equiF~ment
(V. A. Gordin, Candidate of Technical Sciences) 5
2. The raquii~ements for die-fargin equipment (A. P. Tvanov,
Candidate pf Technical 5cisncea~ 8
Ch. IZ. Modernization of Forging and Die-Forging Steam ~ia7urera l8
1. Hurlmera and their role in modern die-forging equipment
(Z, t4. Girl burg, Engineer) l8
2. The moderr.~ization of steam-distributing ~devtcea of hammsro
(A._ L, Ar3hlCtnax~~, Candidate of Taohnieal Sciences, and
I. I. iCozl;,inskiy, Engineer ) 19
3. Modernization o� ha~runer control and drive (A. ~,.
Ashkinazi, Z. I. Clnzburg, anc'. K. K. Yeu:imov,"Engineer) 26
~. Mocierriitiation and repair of foundations and anvil blocks
of hammers (Xu. V. Belyayev, Candidate a>" Technical SCi-
encea, Z. M, ~Snzbuz~g; �Qn~d I. I. Kozhinalciy) 31
Card 3
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"L ' )
Modernization of die-I~orginS Equipment SOV/565$
on Pxoblems in the i~todernizatian and Operation of Die-Fording
Equipment, held in November 1858 in Leningrad. The Conference
eras called by Leningradskiy Sovet narodno~;o k]~o:;yaystva, So?ctsiya
obrabbtlci metallov davleniyem Leningradskogo ablastr~ogo pravleniya
NTO t~tashprom (Leningrad Council of the National Econor~y, Section
of rlot~tl Press;vorkin, tit thH Lenin ;rod Oblast llaarLl of tha Sr~t-
entific and Technical Society of the I~tachine Industry} and I~~n-
ingradsiciy nekhanicheAkiy institut (Leningrad M~:chanical Enui-
neering Institute}, Aetual problems in the modE?rnization, op~~r-
ation, and ropair of dig:-forging ec~~~ipmt~nt are ~~E?at�rit~d. An+~-
lyses are provided for problems involved in tlyc mechanization and
automation of die-forging and stamping operations. Also in-
eluded are practical data to be used in the modl:rnization of equip-
I ment. No personalities are mentioned, There are 5g reSerences:
56 Soviet, 2 t3erman, and 1 English.
TABLE OF CONTENTS;
Foreword
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3
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s)
1 ~ SOV~5~5a
s:~ r_ i.__'~ t~ ti ~~ '~; ~ ~' ~~ XPIAITATION
E I BOOK K es, and
~:~ , PHAS ' Sc ienc
Candidate of 'fech~ochtiica~.l sciences
Aleksandr Petroviai~syn, Candidate of
' Ivanov, ~itriyevich ~
Vlktor , a (P~oderni-
eds . o obarudc�~iZi3i961, 22n p
s ahtampovochnoE 1~iaaha,
ats iya kuxnc�ehno-Eq~,pment) rtoaCUw ~
' Moderni~ gorging 10,000 copies printed.
xation of Aie-
slip inserted. Z,eehnic~~l Sciences; Ed.
Errata A. p sardine;
Pfedorezov, Candidate �Tech. Ed�~
V. Ye. T~ L, I,aykina; TechnalogY
F:eviP�er: House 1~lachine-Building Engineer.
of PublinEd,gfo;c� Literature on Ye. P. Naumc~v,
Managing ~ artment, MashgiZ)� designers,
(Leningrad p maci~inists, and de_
mended ��r foreman, students
This `took isrs concerned with the mode;;rnbeaused by
pURpOSE: inee uipment. xt maY also
recess enE;
and P n of die..forgin8 eq
sl3nin~, eduaatian. Conference
at schools of 111gher resented, at the
AOE; the book contains material P
COVER
card 1/~
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.~~~~--.1--1~3~'j
The ~'heory of R~.~t,~,xt~~ N,~c~~ar~.~~,~rr~~ of i~ocrk I~ri~~~,s (Gorxt a )
TY~e fc~x~ai~:l.-~e x~~~~~.vei:! we:�e u,t~e~i f~.~r ~cia~hemat~.~al
a~sl.~r~~;~.~, ;i.~~ r3,e~,.~.g~~ing ~;h~; >~b~~yet revolvl.yag mechar~iam;
the c~;rrt.~.c.t of t;he piston w:1t~h tht dr~.ll steel is in-~
~~7.~red try ~r?. 4~~.r cu~~hiorxa A fci~mu~.a ws.s derived for the
deter~;~.na~~.~.en off' the angle a.~ ~rh~.cr~ ~~}~ie d:~~.11 st~~~l turns
dl~r~.r1~ t3I~.~ :v~~ar^~i~t:F?r a~~tTll~~.ng ~rz~~t the dr~.l.l ~~~.s~~ t4
rot~.~:e ~t ~:he ~.a~. blew. The data ors test=s of the de-
4cribea~ ~nt;~t,~4-r~,rive,n z�c~ck dx~~,l~. w~.th rotax~f mechanism is
prP~=e~~t;e~.. ?;t is noted #;hat the cumber of the dri11~
steel ?~~e~~~t~1.~.~.t~.~rxs ~.3bta..~.~red bar c;alculatic~n and ~.z~ t:he
test eb~ec;:~ed vz~v, there~iy conf~:rming the recommended
r-~ethod. f. r~r c,~.lculsi:ion a Three drawings ar. eattached.
~~~.Le
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123-1-137
Translation from: he.ferativrzyy ~hurnal, Mas~hinostroyer~iye, 195;x,
Nr l , p . 264 {USSR )
AUTHOR: Be1y~yev, Yu.V.
TITLE: The Theory of Rotary Mechanisms, of Rock Drills (K teor~.i
povorotnykh mekhanizmov buril'r,~ykh molotkov)
PERIODICAL: In Sbor~nik: Issledovaniye stro~.t. mashie. Moscow,
Mashgiz, 1956, pp. 31-36
ABSTRACT: Work on. the method of designing; and testing percus~aion
rotary mechanit~nas for electrie-arid-Motor driven rock
drills was carried out at the ~3H~ (~G'~' pp ~~OP/`? A 11t
n
ildi
,
g
(All Union Scientific Research Institute o
Road Ma:chinery). In the subvert mechanism the forward
motion is converted into a rot~~ry, at the time of the
impact of two bodies of a detex~nined shape. The general
proble~r~ of the impact of two bodies,.shaped as two tele-
scoped cylinders with spiral fluted surfaces and revolving
about their common axis, is so~.ved. Assuming that the
two colliding bodies are perfectly hard, ~eormulae are
derivect for the determination oP their forward and
angule.iy velocities after the impact.
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lZ~�57-2�Z4=18
On the Estimation of the Degree of Utilization (cont.
for the impact. This coefficient zs determined as the r~itio of the kinetic
energy of the primary bar (the ram prior t.o impact and the lcznetzc energy of
the secondary bar (the operai.ive too11 follow~nt; the impact, assumznf; that the
latter moves with t.hc~ relocit.y of cts crntc~r of ine~rtza; i e. , tl;:~z�c.~l;urclzn~ r-r~y
oscillatory energy. If �}ie z:wo cross- sectional areas are equal, ~y =.f1 I'-f 2
fart' 1 < ~ 2 and ~ ~= ~$,2 ~ P 1, if , Ql > E` where ~ 1 and k z, are the rE?s-
pective lengths of t:he primary and secondary bars; a mare complicated re-~
lationship is establic~hed for the case when tho t:~;~a cross Sec~:~T15 are of
different magnitude. The formulas obi.ained were s erified experimentally;
good agreement with the calculated ~~alues was found for sufficiently long
rams ( .Q1 %dl > Z, where dl is the diz~meter of the cross 5c?ctian of the
ram; a substantial difference appeared far Q 1 /d 1 = 1,
r I, Blekhman
~.. Pneumatic hammers--Performance 2. Machi.Y~es--Performance
:3. Mathematics
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1Z4-57-Z-Z44$
Translation from; Referativnyy zhurna.l, Mekhan:ika, 1957, 1`1r Z, p 133 USSR}
AUTHUR; Belyayev, Yu. V.
TITLE; Un the Estimation of the Degree of 1Jtilization of the Impact
Energy in Impact~-type Machines ~Ub otsenke stepeiii ispol' zo~
vaniya energii udara v udarnykil mashinakh~
PERIODICAL: V sb, : Issled, friktsionnykh par i udarnykh mashin. Moscow,
Mashgi.., 1955, pp 35-5Q
ABSTRACT: Examination of machines employing an impact: action, e, g, ,
pneumatic hammers, in which the tt~ol that operates direct?~y
upon thE; product material obtains its energy from an impact
upan it of a specially designed body, namely, a ramming
piston, The author analyzes various methods fo:r the deter-
mination of the efficiency of the impact mechanism of such a
machine; he concludes that none of the existing formulas ap~-
pears adequately satisfactory. He solves the problem of the
longitudinal impact of two elastic free bars having a unifor~:n
cross section, one of which is at rest until the impact, while
the other moves at a constant velocity along its awn axis, and
Gard l~Z he obtains formulas for the kinetic-energy transfer coefficient
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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

,,.,,..........+-1.1-.~ J..+.+~i.J ~�~}...'i,~ ,,c r:.,i~T,.. ;ic.:: ~-..~7,.i.:.ro..~.~.w~+rw~a~wwrwM.Mw�....~ ~ .~,. .....^,.,,~.~r-+-�.~.+--..'
~ACC~_.NR: A3~7~~. ~ .soU~c~ c�DE: uR oo~j6~6~i~7c~%a~~~a39/z j
_i
!AUTHOR: Belyayev, Yu. N, ; T,eonas, V-. B. ~
ORG: Moscow State University im, MA V.. T~omonosov (Maskovskiy gosudarstvenr~yy univer- ,�~
~sitet) �f
~TITI~.: Short-range forces of intermolecular interaction of oxygen and nitrogen. i
!SOURCE: AN SSSR. Doklady, v. 170, no. 5, 1966, 103q-100 .
TOPIC TAGS: intermolecular farce, oxygen, nitrogen, argon, molecular interaction,
elastic scattering, scattering cross .section, relaxation process
I
IA~STRACT: In view ,pf recent interest xn f Me study. ~ .elastic scattering of nitrogen
~and�oxygen molecules in their own gas and by atoms of noble gases, tho authors deter-
'riun~ the parameters K and s of the intermolecular-.inter~.ction potential funct.ian
V(r) = Kars from the energy dependence of the total effective cross seet~.on o:f a beam
off' fast neutral molecules of nitrogen,and oxygen (E~~ 0.6 � 4 kev) in oxygen, nitrogen,
and argon. The principle of the method and the experime~al setup a:re described else-
iwhexe (DAN v. 162, 798, 1965). A table listia~ these parameters and a plot o;P the re-
'sultant~potential curve for the 02 - Oz interaction are presented. The latter is cars-~
pared with potential curves obtained~by.others. The curve obtained from data on the
rel~catian of the molecule vibrations in the gas agrees .poorly with the preset re- ~~
cults, ~.n view of deficiencies in the. present theory off'vibrational relaxation. On the
other Nandi comparison with re~'ined calculations on the basis of a semi-empir;tcal ~
fiord
UDC:
.196.2

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

r
L -.~717-66

ACC NRt Apbp315$4 're ion'
ate. s stems in the energy . 6
potentials describing the interactioninftheeenergy dePen~d.ence of the cross sections
~l kev. Singn~ities were observed molecules. Using
for the scattering of atoms with unclased eltotexpl in the observed scattering
~'~e0} an attempt is mad
the 0-NZ system as ~ example' robability of nonadiabatic electxonic transition.___,
singulaxities and to esti~~ate the P ities reflect sY~~rp changes ~ the ch~,cter '
es can be the consequelnce
It is decided that the observed si Such chew ati,ons
of the in~heraction of atom-molecule distax-ces. fo~� sy~mnetxics,l. aonfigw~
of the crossing of the levels of the electron energy anc~ l table.
has. 1 figux'
of three identical atoms. Or1g. art.
SUBM DATE: 42Jun6E-~ ORTG REF: 4a~~ Obi REF: O41
SUB CODE: ~I
C d ~?
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1 ~ , ._
_ ~ ~ ~ ~, ~ i
,p 1 ~ ...!'is` /irm ^~~_ .v. ....L.L1t.l,i i.. ._. .._. ;~~51.ri... ... .. _.._,. _ r...__ ._� N'~ /~ `~ ~ _
_ w~.l..,.:.~.~..w..:. _ __. _.. Sc~uRaE ca~~: cr~o,~~/~~~/ k / ~. } ~ a~.,
,~cc N~: r+~}C}O;~z~~4
~~
AUK"t~CJR ; �B ~e,~ xu.~.~,.I`l. , SxOna6 V~_~ H �~-
~ t3ity (NaUCt~naa '
~ aRG : Mechanics Iteseaxch institute at the Moscow State. _Un,ivel~ _ _ /~ i,
__~..,,,.._.~_.-._-.~...~. ~ _~..~.~.. _.._...u__
issledovatel'skiy institut mekhaniki pri I~U~..w~.....
~ ~ Features of scattering of fast beams of }~, N. nnd~ 0 atoms in n~olec~.~lar gl~.sea
~I TITLE .
1 (N2, ~2~
~ ntal'no i teoreticheskay fixi~'~� ~'~-a'ma v redaktsiyv. j
SOURCE: Zhurrial eksperi.me Y 4-1 ~
~'rilozheniye, v. a~, no. ~+, 1966, l3 3
xOPIC TAGS: atom scattering, molecular interaction, scattering cross section,
hydrogen, nitrogen, oxygen
< e ase of the invest3.gAtion was tc determine the intexactirocessestial
A~S.TRACT. Th Pux`P
energy neE;ded for a theorems ical calculation of the elastic and inelastic p t
accampanyi~'~fato ""~P^�~ ~ �11is~ons. This was done by scattering fast beams from ,1
star ets using a exper men al setup and the measurement procedure described
g~ 8 ' Kamnev et al, PTE, no 2, 1~2, 1966). Meaa~ '
earlier by one of the authors (with A. B.
surements of the total scattering cross sections were made with xeaaextvre ee~t; w~6!~.
energies from 0.6 to 4 ke-v, using three different detector ang P ~
authors measured the absolute values of the total crOSCtionsioftherenergyic ~emter-
ing of H, N, and 0 atoms'by 02 and N~ molecules as fun rical ~
these data they obtained the parameters of the effective: spherically-sy~et
i/~

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SERGEYEV, V, P, ~ TAit]JQVS~~Y~ p. I,; Mi'~RQ~'ANOVA, N. M,; S~tM~;LEV, N� ~� i
SHABiTNINAy V, 1. ; SK1lU~''50VA, A. T,; VASiL~ T`SOV, V� ~� ;
KRASNOGLA2t)V~ A.F. ; SELYAYEV~WYu. N. ; KtJRAKIN, V. A. ; SfU'14IN,
M. N, ; SERG~,YEV, V. F, ; 2ATgVA, N. A. ; MATVIYEVSI~AYA, E� D� ;
STOPOV, A.1)., otv. red.; LiSOV, V.Ye., regd. i~d-va;
NUVICHKOVA,, N.U. , tekhn. red.
~conomic cooperation and mutual aid in socialist countries]Eko-
nomicheskoe sotrudnichestvo i vzaimopomos;hah' sotsialisticheskikY-
strap. Moskva, Izd-vo Akad. nook SSSR, l'~b2. 272 p.
(MIRA 16.2
1. Akademiya nook SSSR. Institut ekonomik.i mirovoy sotsial~s i-
eheskoy sit;tem4r.
(Communist countries--Foreign economic relations)
(Communist countries--Indus~tries~
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

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APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

~,
': ACC NRc APG03395~3 __ SOU1tC1: CODE: iIR/0291i/G6/00'+/00i/~73Z/07'33
ALi110R: Belyayev, `tu. i?. ; Leonas, V. B.
~ORG: Ptoscow Stare University im. M. V. Lo~~anosov (Moslcovskiy sosudar,;tvennyy
j
universiteC} ~ ~
~TTTLE: Kinetic coefficients of molecular oxygen and nitrogen at high temperatures
~SOt1RCE: Teplofi~.ika vysolcilch temperaCur, v. 4, no. 5, 1966, 7~2-733
r
TOPIC TAGS: Kish temperaL-ure interaction, molecular oxygen, molecular: nitrogen.,
diffusion coeffir.ient, vi,>cosity coefficient ~ intarmol.ecul~r force, m.aleeular ~
interaction ,oxygen, nitrogen i
ABSTRACT: Viscosity, self-diffusion (at constant density p = 10-`' s/rmz), and
counterdiffssion (at 1 atm) coefficients have been calculated for molecular oxygen fi
and nitrogen at 2000 I5000K {see Table 1). The calculation was performed using, ~
previously derived formulas and the parameters of the effective spherically sy~vnetrical
Card 1
i L._._._.__.__.._~3________.._ _ ___._~. U1)Ct~539.196.3:546.17�546.21 ___ +
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

- - ..
-.
+ ~~~
~~` ` =ACC NRe A~B~07097 ,
pa~ame~era a~ px~tenti.ale that are not epherical~y ~yasma~trio from acai~le~r3ng data. are
a~-doubtful va).ue. xhe l~ - Na, i~~- p~ ~ and E}~- 0~ potelnti.als were clz~lculated ,fram the
- N~- Ar and ~2` ,Ax scatter~t>~ dat~- by' the indirect. procedure of I,Amdhir ~ E.A.~a~on, ~
J.BJordan (J.Cliem. PU,ye,, 27~ :377, 1957'),. and +he ree~;~lta were fourxt to be ib goat!
a~~^eeman.�C w~tl~ the .pate~t;~a~a derived clira~itly dram th+eE ~t~� ~ ~ ~i - I~ ,ant} - i~
` ~ scattex.ng stata~ ~tntera~c~l:on patei~t~a).s c~leu).ated by the semi~empiattcal mead oS
JT,Yan~deral;~.ce ~~ a~. (~iT.Chem.. Phys. 30, ]~~3~ 13$x,� 3~t, 51b, X960) t-ere not 3~t~ $gz~ee-
-,
.~ : ant with thasa~ derived +~r+~o~~;y ~x~m kh~ aoattering d~ita, but. sati~~Cactary a~re$ment
_ wad- obt-~inQd `rr~~a~ the ~~gproved ~~e+c~ribigae of t~.~b4e,ador (2~3A T~ .~hn. 2~+p. , R ~+ -88, 19d~~ -
was employed. lnteracti~an--potentials der~,t~ed wi:tb the aid a~ � 'gig t)n~~ory o,P vibratic~el
relaxat~~on of gas mol+act~les byr N~.A~.Ge~reralctiv S.A.Lc-gev (D! ,~~ SSSFt, 14$ ~ 552 ~ 1363;
Itiv. l~N S6SRi. sr~r. ~i~, f. ~?, 1:110, x,963) wexe _uot fax a~;roepuent with !those obtained ~ros+;
the scattering data; -thi:i~ diacrepariGy 1a aa~z~ibed.�tc~ ~xtadequacy of ilia reXaustion the ,
E~~ � ."'; ~ ~id311~=I~A~'Bt~~ 07,~iJ ., ~-{oA~t tt~'a, ~/ ~ ~;~ RS~`~ ao6
� �
. - -
- ~ -
.. ~ ,. r
~ ~"
(. .f
~ Card ~/2! . ~.~ ~' ~ ,
6 , _ ,.# ~
' {
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

__,
.~AC~~Np;o ~?t~7i)87 ti~G~7/`~-~j~-3~+~Itr~3~~3~#~fi~
~. _ ` y
r , G,t�J,~/'~
AuT~aR; He ~r~yav, Yu.K~~~~ Jonas
{,. .. ~ ,
h ~'~ ~ ~ '
Oi~G: ~ fate ttf xs#t~ faa~. K.y.I�cxnanoe~r (,~as~Cavskiy gasudarsttiennyy u~ni~++sr~rit+
_~
xrt ~~'
~` T~ThB: Intexaoleou~ar.!�orce between ox ~ and nitrogen n the repulsive reg,kon
Stt~tJACS; Zhu~rnaX tekhditsh�~koy ~i~i;ki, v. 96, no. 2, 1968, 853-36T
TOPIC TAC9: nitrogen; ~~xygen~ argon, m+~leoular interaction, elastic scatteriaar~g,
it~termoleouhtr ~Corce, g~~s reXaxation, vibrat~a~- arelaxa,tioa
A1dSTRACT: Bxperimentax data on the total crass sectfalAS for elastic scattering of O.fi
to 4 ~te'V oxygen and nitrogen aoleaules by nitrogen and oxygen molecules and. a;rg~rn ato�e
were emp7.o~ed ~c~' calculaate the 'NZ- N2, ~2- A~'r N2- p2~, 4~- ~, ana ~-y- Ar int~eractton
potentials, The expsr~nemtal techr-iques (atx~ presumab-~.y the data tri~eaaelves~ are dis-
cussed elsewhere bg A.g�Kamnev .and Y.B.:Leorias fnAx 355~R, 162, -998, x.9651. Thee inter-~
aCtian potentials were aseunted to have the Para K/rn, where r is th~l distance t~~3trveen
_ the- interact#aag~mo],ecc~~~ea, aa~d the paramotexa K and ~ for the dit~ei~ent potentials wets
calculated. ~roa~ the ene;irgy dependences of the oorre$pc-nditg cross s~fcti+n~. 'xhe N2~
-'' p�tent#~al wee` ~awnd to '~ equal, within the experimental error, to i:he geometric nesan
of the ~a~ NZ and t~- Q8 ,potentials. The feat that the true pvtentilals are not
w spherically aymmetrio ~s discussed, and it is concYudtat that att~ea~>~`s to derive the
Card a:/~ .
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

L cF,34~L~~~'~ L'~d'P(d.)j`T S`~TF'(c) s
'~ ACC NRs AF6t}27727 SQURGE ~~AR : t1R/002fl/68/l6Sd/OA4/0?55/0758!
,~ ~i i f
A~rrrtaR: Be:l a �v Yu. K,
_....:.~E.::~w-.n~..~ic -"ti`,~-..m:t;,
~4RG: Moscax State Universi~~ im. M. Y, Lanonasav (Moskavs~kiy gasudarstvennyy uni~v�r~
i sites) _ ___
iTITLE: Confidence intervals far functions of many unkno~-rn parameters
~ j
~50URCE: AID SSSR. Aoklady, v. 169, no. 4, 1966, 755-755
TOPIC TAGS: confidence interval, reliability, statistic ainalysis
,AHSTRAGT: An algorithm solution is given for the problem of conatructi.ng the upper
'confidence limit for a concave function ,~~
- -, 4~=1
The input data are values of di, ~ = 1,... ,m, mutually independent randlom quantities
shaving a Poisson distribution Hith parameters ~i. The general problem is fors~ula~ted
i as follows . Given a space ,X of outcomes of trials and a alpaca of pararrneters 8 xh,ich i --
~jdefine the family of probability distributions F8 and An al-algebra of ~x subset$ of JC,~
'~~ and given on the product X x 8 a funct ion f (x , 8) ~lx, -measurable aa~ x f'or each 0 ~ ~
pit is 3*equired to construct a Y-confidence interval for f(x,e), that is to find ~1~i,~.
-measurable functions (x) and {x) such that f
i f
Card l~2 UllC : 519.272.28
l--_--_- -__.__.____ __ __.._ _______.______.___--______._._. ~ t
__ - -_. _~
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liL~/~J ~{/7 7
~~~
. ~Y"aM ~. j,~Y '~
~A~~ NR::t ,. - _ F
~ - - .~_,,.._.,,t.
_ , : 'TAB~B OF' CQN'S'E~'~ ``~~~~~ed~
. preface ~.
,. ~s ~. ~era~nte` .a~' the t,~,ecrx~r off` robi~b~li~ and then~a~ital ~~atietie~.��14
tea. ~. t~raater~:~ti~~ ~`:, xel~ab~l;~y ,.~ . ,~
~: ~ ~~~
~~ .~~ :, ~est~ tae '~"y'~ -' feet z~esu~.ta �~~~:~
.,. g = Sri, he~3~ aP ~~e~~,l~ty_ '~~,~5
E~. ~ Y. ~$aervatxa~a, ~'i.~ho~~~ ~;~is~uc~~~n -...~._ ;
~ ' ~h~. ~'II. ' ~ta~et~~l met~tod~ of ~~t~ ~~txo~1, end rt~~ab ~ ,
fi8$1@~ *~~-~'~'~ - V A~6lE#~ p2'~ti~''~ift1II
`index ~ i~ermrs ~~
F'.:
f ~ ~,
,.; ..
zk ~ ~ _
a

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- - _ _ -
r~ _ - gyp-:, .. .;:1 Y y.. YS' ysL"^S` "'F~ ,-' p ~. .,.... , ._ .....,.: ,. .,.
~'t'tn~~~tk~s_ :~ri~ V1a~~rn~r~ich.. ~iv~;v+~~~ 'Ytt;~:~ ~Cr~nacriyinc~vi~h Sarlov'~nav. A;,~k ' d~ _ .
_-
...~
. .
. ~iathema~ic~l.,me~hads ~~ the th~~xy t~~ ~. b~;lc ch~racterr~tic$ a~ x e13a
.,
~. ~~.ity .and tip sfi,~t~.st~:~a~]. ~~~ , N~t~raa~ci~sl:iy~e ~etody v to�ri a~a~~zhno~
- sti; og~aovn 'Itar~tex~s~iki ne-d_~~n~~a~i- i $tatia~t~cheskiy a~~~,ix~ Ma~ec~r,
"~~" '~5~; - ~ ~ f~~:]us,~ bi'iN..io., index. Erra~ra flip ae~r~d.
Berfea ~irx~e;:_~ i~~,~~~~tem~tich+~ska~ bib7~~ek,~ in~enlxr~ -
!x't~P1C '~J~S: ~matl~~e-tic. ~a~th+ad Btat~s~ic analys~,~ ~ prola~lr3,lity, xe1:L~b~:~.~ty tb~ozy ,
qu~~it~ Qon~~o3.:
~~ �AI~,G~V~S; -, ~s b~a~s,,~re~enta ,; b~ac conaept~ n~ the ma~htp~ic~. me~t~e~s
iri tl~ ~~ i' re~ab~ilty Sid g~'tr@e v plans ~~'or ent3.maticihl~e�a~'t~2'~~t~,Cl~
_._,
0~' "~? i ~'x't~ri ~hc ~'8si~.~~_ off' ~'~@~t~. A~.~G~ ht~i~ ~c~ t88tig. th~r ~io#'i~hc~is,-
t tb@f; h"r x$~,~~~'~'V'a'~i~~~y'~t~~~'i~,~~,,,~~"+~1t~1t~f'e~~!~1~1tr~~'~`v~i?~'! `~c~ ~t~i~~i~# ~{~~UCty~.Qi~' ,y~2!d.+~1~~e}l ~.t~t~~r ` .~
CB:~t,8~1~E~ Co~;~r,, ~?~3B@~1'h~d 4' .die. _boo~ +cRyata~~a ~ r{.M~ 1/.k~~ ! ~ ~i+r6iG~
- f~.rgt cl~ap~er ~~ ~ azt ~~txoduct~. ~~ tl~e th~nx~ t~`pzo'~~b~lity, math+:ti~~ ~~~~
tics and L~pl~ce t~a~o~~ ~e bad is x~ceaded for mathtic~s~r,~s, ~ng3.~~~eirs
- ~ ~ an$ stu~en~a +r'~a~,~.ng` ~i~t~h, pxable~ :gip tk~a tbear~r of px+~ba`b~.3ty. ~ ~scctic~a cue the
be c~cern~ ~ ~' 'p~cod~ct~,~up- is uu~e~'uL ~o tbo~e Working in t~~
~~i~ o~ t~~~~c .. ~COAt]{'~.~ - ~`~
j,, - ~ - t1nC: 51'9
_'
Card ~ ~~- -
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...
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i
. ~~
ACCE35ION NRs AP,3b41h~g ;
TF~OkEM ~. '.If in th~a single-ohann�~. ssrstem defined above of massive service i
. ~ ,,: ~ .
ni th ref'us als the folloring condition i a sati efied s F~~ ,,, ~'~,~� ~ ~ or ~
!Y -. !
or the st~.~ong~er condition H~ a ~, ,s ,~ p~
F1Y _ ,
i s satisfied, theln the flow of. refusals e ~ ~~,~ ^ .. - ~ll :ter ~`o te)~, "r o . ` ~ ` ,

R .. ~. . i
... ~ � e '
'

where Soto)
is i;he Poisson
floe with parameter equal to ~
~
one. l~hen the strongea~ ~
~

;condition is

satj.sfied, wig

alas have l
M ~-Y ~
1
F
~ ~�~' 1
.
; .
E
Theorem ~ is ~
~
/
._
en ~~xtenaion of Theorem 3 to mol.ti.-servi-ce ,,!
~
systems. trig. art. ha,ss ,

' Sq fornnalas. ,.
M
~ ;
~
ASSOCIAT:~ON a None

ObFeb61
DATE ACQ: 17Jun63 ~ ~
~ , '
ENCL: 04 ,:
SUBMITTED:

MM: NO REF SOV: 003 OTHER: 003
-,
SUA CORE :
Card ~,~ - .__. .._.... ---
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

~ACCLS3ION NRs AP~ao~.ge , �
i ~ C~
khere -~jn (~~) ie a generelix~ed Paiaeon flow with dietribut!lon 1luyotion of the ;
'parameter G(~,) . Let F(x) be the distribution fimation oj" the duration between i
S a~dF (x) ~ i j k, 0 < k < ~~ F (-f- 0) ~ 0.
..,.
o ~ i
Assume that ~Zi~ are mutuallg independent uniformly distributed random vigriableP~ :i .
;with distribution ttiinction G y {x) ~ G{x/~ ), where G(x) i;s the distribution funci~ion
'of a nonnegative random variab7.e. H(t) denotes the mean ,natnber oP outputs in the }
;interval (~J, t) unc(er the cc>ndition that at the initial morosnt there was a call ai;
i
the input flow. ~, o~
} Fir = ~ F (x) dl~Y (x) = S F (T x) G (x)� ~
~ o
r t
f r ~
! � `
Fi,c ~ ~ Ft (x) dG~ (x) "' S F~(Yx) dG (x), .w_.
y u o
as ~ '.
~ o
., -
Card.._.3~
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

L 18515-6:~. ~_. _. _~.~._,
ACCESSI CN 1~IR t.___ ~~1~5g � ...-..f--...__..~ ._.~._.. _~_....__ ~._ _. ~ '
';~~' ~a1 ~--~0 P~~~ tom)>o}-~o for an~tL1,~Q~?Q, thin the oat~pat flog is naturally aBelled ;
lr� i
~f~~ "THEOREM 1. If tha input flox ~ (4) ie auoh that for some ~,>o u:ni~'orn~ly in ~a~.~.'
;intervals of finit~y length Q ~~. ,
1!m P n~ - ~ > ~ ~~0
IQ-..~~ ~ i ~ j I . _ } .~
-~~ ~ .
ror any ~ > o, than for y -~ 0
~ ......._ ,_...,..a
~nhere ~o {Q) ie ~~ Poisson flow wl.th intensity ~, . The random floe '~ (4) is cQL1tid
;generalized Poisson flow ~arith distribution function of the parameteven`on) the s ~e,e ,
exists a random �variable ~ ~ 0 with diatri.bution function Q~(?~) gi.
' ~~prabability fial~d, so that the flow ~ (n) undex the condition ~ _ ~,is Poisson ~~ith
;parameter ~, for almost all values of ~, . ~ �
THEOREM 2. If uniformly in all intervals Q of f inj:te length for any E > 0 and
a random varieble ~ ~ 0, j~~~~ ~~~ 0(~.), +tt~)
!Im P ~ > ~ ~ 0,
. 1e1_.oo ~ ~ I a i _ ~ "
.. then ~Y C T / LYl! ~ ~r J �~'~ (~)~
Card 2~ - -- _..._ _
,.
APPROVED FOR RELEASE. 06/23/11 CIA-RDP86-005138000204600022-6

~ ~ .5:~.w.._r_.~._._~.~~.~~c~w ~~s_... ~F~rc/ASS/~s~-3/r~~c.~~.~:~~'~~~., ~ .
AccESSra~. r~~ ~r~ou~g s/oo~x/~~/oo~/aa~/oz~r~/ca~~~
` THORs Belyayey~ Ytt. K. , (MosooN~ ~, ~~~
~TiTLE: Limit theorama~ fnr rearing flow
SCURCEs Teariya veroyatnai~tey i yerye pri.meneniya~ rr. B~ no. 2~ 1963, l7~�18~.
1TOPT.C TACTss Pais~son seas service stem aid 1e-ah~xsnel stem random fl~~~-
P~ ~ sY , g a9' ,
a ~ .~
AB,,,TRACTs Fora .large c1A,es of random P~.o~ns it ~s proved, that after soma rearin~~
~operationa the re,sult~.ng flows tend �to a Poisson flog. Theorem 1 is s. generaliz~sR
tion of a kno~-n result obtained by A. Renyi. The rssulte~ of theorems 3 an~ ~, are
`connected with tho investigation of output flaws far some service eg~te, fi9.~ as
shown belo�~r. B,y r d ,~ ~ (4) rve mean a random additive function of the
interval A taking~~~i i'~nt~~dr values 4,1,2,.... Zf ~ e~r~e mutually independent
random variables, then the corresponding flow is called f'~1,~ ~~ b ~ ca a ~ o~,.
ale sa thPt the flow (.a carver es in robabili to the flog ~) as _r d,
Y `~ ~ ) g P t3'' ~ ~'
if for any choj.c a of interval Al, , .. yam and evhc+le number~- kl, ..., km
1-m P (r~Y (A~) = k~~ t - "~~ mk - P (11(~~) = k~..t = '~~ m~�
i .. Y...p _..__ __. ..~ .._...,... ,._ ...
Card r
._ ~.__.__._.._.._....__.._.._.___ .____..____..,_._.___._____._~_-.-- -__~ _.. ._ ._,_r
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Transactions of the Sixth Conference ~Cont.,~
58. Belyayev~,,, Yu,~_.K,~, "Ruled" Markov Pr�ce+3ses and Their
"" ppllcation to Problems in the Theory +af Reliability
59e Bobrov, A, A., and D. ~ 2, Arov. ~ Floras off' Random Events
Without Aftereffect
60. Bondareva, 0. H. Existence o~ a So~ut;ion C�inciding
With the kernel in a Qame of n Persons .
Sad'/'6371
309
325
337
61, Oirsar7ov, Z~, V, P~.nimax Problems in t)r~e Theory 'of Dif-
fusion Processes ~ ~ 339
62. Onedenko, B, V, , Yu. I~. Belyayev, and .I. N, novalenkQ,
Basin Trends of Investigations in the 'theory of Queues' 3~1
63. Kovalenko, I, N, On a Method in the Theory of Queues 357
6~. Kolch:in, V. fir, Some Problems in the Thheory of Dynamic
Qames ~Sq
1'ransactifc;r~ of 1;ha bth C+~nf. �n Pr~b b~.l.ty '~Y~~o~y .:nd ~at?~~:matioal S v,~tbst:.cs and
oP the Syrp~posiw~, on Distr;ibut3ons in ItuTi:~ita-Ditrwnsional SpaGas hold in V~,l'xyaxs,
~-1Q Sap ~6t3. Vi.l~~yus '~~~ospa]~3tizdwt Dit SS::, 192. 193 g. 2~4~? aopias pri.m~ad
,.
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~35g?
s jo52/~~~~oo~ fool/oo.>/005
An exj~.mpie of stochastic o ~ C 111/ (% 333
time (ts t ~ ~~,~ t) s and to jump into the Sint x< a' with
p ( , ) probability
~. t ~ ~(~!. t) ~ If p hogrevers fi(t) ~ (xs 2) at the moment t9 then let
~ (t ~-,~, t, ~. (.x ~~ts 2) ~-it probability 1 ~ ~ ~1; ~ ~ (~ t) a~std let
a~ jump rota the point (xsi) ~~ake plane ~r:~th prob~~bility ~ t ~. ~ (~t)o
In mooring over the interval I.~ (I~) there takes place a transition
into i;he point (t1s2)((~1s1)) under reaching the upper flower) interval
li.mito Under these ausumptions there exists an ergodic distribution,
yea 8~ A~ Sevast9yan+av (Refs 3s Ergodicheskaya teorema dlya
max�kov:skikh :protsessov i yeye prilozheniye k tele~fonnym aistemam s
otka~a~.mi ~~E:rgodic theorem for ~arkov processes and its application
to telephone systems with oancellation ~ v Teoriya. veroyato i yeye
primena IIy ~ (1g~7~;, 106~116)~ If this ergodic distribution is taken
as initial d:lstribut~;on for ~(t)9 then one obtains a stationary
~arkov process with niixing~
The author considers the process ~'(t) ~ x, if ^~(t) (x,i)o As functaa~
of ~'' ft), ;fi(t) is a ;-tationary process with mixing, but not a ldarkov
one~~~ f t) -~ d'~'~dt ('~~ (t) is assumed to be separabld:) exists in the
sense of the convergence in the quadratic mean; fi(t) is a stationary
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�Kt r
~~,, b140
AUTHORs Belyayev, Xuo
TITLE; .fin axa.mple of
PERIODIGALs ~'eori~�a veray,
1619 101�-103
e358~.
s/o5z/61/o06/001/oo3/oaf
C 111/ C 333
Ko
stochastic process with mixing
~:tnostPy a. yaye primeneniye, v� 69 nou 19
TEXTS The b~uthor constructs a stationary random process ~ (t),
oo ~ t ~ ~ oa with mixing which attains tyro values, where the
dispe.rsion~ elf the integral
p
fi(t) dt
0
f.s bounded f'or p --�3 00 0
The author c.ensiders a ~Iarkov process, the phase space of which
vonsists of I1 W ~ m1b t1) and I~ ~ (~19 ~~~ ~~ Let ~(t) _ (x,i), if
at the moment t the process is in the point x ~ i (i ~ 1,z)~, If at
the moment t the process ryas in (x91), then it i.; assumed to pass over
~..nto 'the state (x ~ 1~.ty 1) with probability 1 ~ ~�~ t t ,(~ (~ t) in the ~
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FOR REL Q-~ - 06/ /1 1 - IA-
~5 X95 7
Analytical R,e~ndom Prooesses SOV/52-~w4-b/13
:theorem t~: If the covariance funotion of a stationary proc~ass
:Le an eni;ire function of the exponential type, where the
+aorrespoYiding exponent is ~ (~ , then almost all sample functions
are entire functions of the exponential type9 v~here the
~3xponent~: are ~,6' .
`t'heorem ~:. Let ~(t}, -oo.C t.~ ~ be a process with a baundeel
speotxum the co aritince funotion of which is
r'i(
C6~ B(~} ~ ei~~.dF(~~ .
Then for a7,most all sample functions there holds the formula
(7} (t, W}'~'� kT~ si~~
~f Go...~(w ' w} ~ ~
where w>"w i.s arbitrarily fixed.
card 2/3
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o? 95 ~,., ~ ~ ~ 3
~6(1)9~6(2~
AUTgpR:
TSTLE~
ses
Bslyaye~'9Yu�K� ~959g
~" ti~;a~. Ra~~~m proo ~~ yeye px~menen~`~~.; ~~ inn .9 i~
Ana1y ost~y i~~,It~ in ~ ~ -~
TEOx~,ya."i~x 49 p~ a~~,ed a'na~~t~, ~ ~ , d
Vol. 4 9 , s ~~ ~,xe fi r..al~
Odom ~x,cs~~ ~ ~ ple funot~'r~~i.on D' g ~ ~ ~~ ~~ ~do~ ~pxa~e~s
T1ie xat o~ a.tg ~,n the '~~~ 9 ~ .tn xs.n
almoot ~'~~ L.ont~nus't~ on once .~unet'~o t ~ r ~,nen
tf,o~l ~ .o~e.x~� os (t ~ o
The xp'~ ~ ~ n the ne~Qh.~orhQOd ood o to_ ` on c,f tY~sorem ~ ~s
o='
~ h
ana~yi'~"C the no1E;~~'box the cond~.t~. , ; or,.t~~'3'
is e,nelytiG in i an pxQGesseg nri. o~ a ~y~~~r
x~em 2'� Fdx pf�~.c~.ent� oova~xianoe ~~n~t~.~
Theo ~ ~ ^ ~ Me ne{,~ass~~
' ~n ~~d.r tha{ the
ne r, a s3 s axy and p ~ ~,,, ~ ~:, x
pER~p~xCAL~
A~gTRApT'
Theorem o~a,~ ~ ,~.~ a g an.a`1~~ 1
e.~ of dF ~~~:~
~ ~ t
ro~~es~ B( ~k oa
E
n~~ su~~iG~ent that
~, .: ~ --ems
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sov/5~-3-~3-~/~
4n the Unboundedness of the Sample Functions of Gaussian Fr.o;;f,sses
then such t can be found far E3-0 for any natural P3 that:
~R (nt)i~E for n = 15o,~~N
(Lemma 2) ~ If ~~~ and ~yn1 are two independent sf~quenc es
of random numbers urith stationary distribution and onE~ of
them is not limited by the probability 1 , then the sequence
xn +- yn is also not limited by the probability 1 {:Ge~ana 3) o
herefa e it can be stated that a .stationary Gaussian pracE~ss
with the probability 1 of containing a continuous s;~ectral
function is unbounded (Theorem 1), Ors if a spectral fund-~
ion of the stationary Gaussian process has cc~ntinuaus compon-
ents, t;he:a the process is unbaunde~d with the probability 1
{Theorem .2), Tn the case of the stationary Gaussian :Processes
with discrete spectral functions, bath the boundednes,s ar~d un-~
boundedness may occur with the prababili~ty 1.. Tf the ,jum~~s
of spectral functions
bk = F{~,k + 0) -~ F(~~) and
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A~TxoR : ~e~,,~ ~
TITLE: Uxt. the Uribounde~dness of the Sample Functions of Gaussian
Processes (Q neogranichennosti vyborochnykh ~'unktsiy
Gaussovskikh protsessov)
PERIODICAL: Teori;ya veroyatnostey i yeye p:rimeneniya, ~.g53e: Val 39
Nr 3, AP 351--35~+ (USSR)
.ABSTRACT: The spectral functions of ttae s~atianary ~r~ussian ~~~ro~
ceases are characterised by their ~~ontinuous camponen~~s.
The spectral function F(~,) of sw~h a process is a nan-~
decreasinEa function which can be defined as a. sum (1),, where
Fl (1l) - :function of jumps q F2 (~) ~- absolutely c ant:i.nuous
fuaction.o, For the processes where F~(7~) + F~(~,) ~; t) s
i.e. wher~~ the spectral functions s~ontain the continuous com-
ponents, almost all the sample fun~~tions are unboundcdn ~.n
ordinary ~~rocess {x(t) ~ - oo < t ~ -~ op~ is called ttx~.bt>unded
with the probability 1 if Eq. (2) is satisfied for ~~ ~ 0~
Then, for the finite population 2~~(tnlgp~a~t~)? the ex-
pression (3) can be found (Lemma 1). Also if:
Card 1/~
1"
~ S~R(t)~ dtw3 Q(T~>~ )
~ o
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