SCIENTIFIC ABSTRACT ARTYUKHINA, A. - ARTYUKHOV, M. M.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000102310003-1
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: June 6, 2000
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENCEAB

ACC NRi
is assumed constant, and the author determines the deflection
w. Then, using this
expression for thp deflection mid the exact differential
equitticine f.or equilibriump
the author refines the stresses. Two types of boundary
condJAicna are considered:
fixed and hinged edges. For both boundary conditions,
approxime-Ae formulao are
introduced for tho critical value or the tomperatiLre
T (n + 1) (n + 2)
ocr + v) dRT-I(n + 1) a + (n + 2)
where 3.8317 for the fixed edges, 4 2.049 for the hinged edges.
Formulae e e
,,,r
obtained for the dimensionless deflection at the center in the
absence of loads. ~~.
These solutions are compared with known solutions obtained br
the Ritz and Bubnov--
Galerkin methods. From summary. ZT-ranslation of abetrac!7
SUB CODE: 20, 12
Card 2/2 aAj

A- A'-*oindr
Aft-Omm o I _2 [Ar*Jukhinal Aliaksandra]t Gerqr
SDtoiallati
chookogo Truda, chlon'Keumunisticheskoy partii
;3oviotokcgo Suyusa
a 1910 goda
Our "Pravda." Rab.i sial. 38 no.5s2-3 4, 162. (KRA
161:1)
(Ruissian nowopapers)

1. ARTYUKHINA, A.T.
2. USSR (600)
4. Clay-Kalinin Region
7. Report ort the detailed exploratory survey of the tile clay
deposits for the
"Pioner" factory near the town of Kalinin. (Abstract) lzv.
Glav. upre geols
fonG not 21 1947
9. Mon List o Russi Accessiong, Library of Congress, hgrch 195L
Unclassified.

-- - ART ni KUM, - N. - A.
"Phenomena Occuring After Birth In AOITOIS Irradiated
Defore Birth."
report pre5ented at the Coi-Serenco -:.. mfluence of
lonizing Radiation upor. the
Higber DevelQped Pwts of *-'a Central Nerve Syatem, likst.
cX 1119lier fii-rvolis
Activity. AS USSR, IS ~-10 May 1956.

ARTYU]MINA ao---WPPO-
Histopathological study of the central nervowi system in
white rate
in experimental streptococcal infection follouing
prolonged sloop.
Trudy Inst.vyR.nerv.detat. Serepatofiziol,, 3'.:136-347
'57- (MIRA 10W
(MVCUS SYSTEM) ('STRHKOCOCCUB)

USSSR/lIuman and Animl Morphology - PatholoGicn].
Anatmay, S
Abs Jour : Ref Zhur Biol., No 5, 1959, 21645
Author : Artyukhina, N.I.
Inst : Institute of Hi&ior Nervaus Activity of the
Academy
of Scioncea USSR
Title : Iliatopathological Analysis of Contra]. Ni?rvous
Sys-
tem ChanC~eo in Experimental Pnemmcoccal Infection
in White Rats
Orig Pilb Tr. in-ta vysshey narvii. dayat-sti AN SISSR,
ser.
patofiziol., 1957, 3, 81-0-356
AbstrIact No abstract.
Card 1/1

Effect of ionizing radiation on the morphology of the central
nervous system in rabbits in cases of a single 10oal irradiation
of the brain. Trudy Inete vyoonerr.doint. Ser, patofisiol, 41
2)8-251 158 (MIRA 11232)
lo Is kabineta morfologii mozga (savo - prof. H.H.
Alehandrovskaya)
Instituta vyesher nerrnoy deyntellnooti AN SSSRG'
(BRAIN)
(GAMMA RAYS--FHTSIOLMICAL WPTCT)

ARMW INA, N. 1.
.IWW-m-W - in the central nervous isystem and interma
1-001, Histopathological changes
oreene in white rate following exposure to differont dones of
ionizing
radiation in the region of the brains' Trudy Initoryn nerv.
deiat
Sere patofixiole 4-.252-265 13s imlau 1111g)
1e Iz kabineta mofologil mosga (saw. - prof, H.M.,
Aleksandrovskaya)
Instituta Vy8sh deyatellnooti AN SSSRO
(BRA,
(GAMMA RAYS--PHYSIOIOGIGAL)

ARTYUXHINA, N-1-9 KRYAMXO, L.r. (mookva)
lxper~ment~a streptocoocal cardiac fififeation's in white rats;
[wit-a mmary In Xngliahl; Arkh.pat.' 20 no*98,*17-42 B158 (NW lltlO)
1; Is laboratorli eravnitelinoy pptofiziologii I oksperimentalluoy
terspii vy9shey ner7noy deyetelluosti shivotnylb (sav, - prof;
L.I* Kotlyarevskiy) I ka'~ineta morfologii tsentralluoy norvnoy
aistemy
(sav.; - profe' N.M. Aleksandrovskava) Instituta vy:Bshey nervnoy
deyatellno-
ati AN SSR (dir' - chlen-korrespondent'ANN SSSR p:rof. V.S.
Rusinov);
(Rii~ DISUSE. experimental,
streptoof lealcqi In white rate (Rum))
(STREPTOCOCCAL IMOPIONS. experimentRI
heart lesions In white rate (Rua))

ARTYMINA, N.I. (Moskva)
HistOlOgical changes of the central nervous evetem in
experimental
traumatic braln Injury* Evith summary in linglish'].
Arkh.pnt
20 no.10169-73 158 (MIRA 11;12)
1, Is Inatituta vy9ehey nervnoy deyntelluosti Ali SSSR
(diro'
deyetvitel'W chlen ANN SSSR prof. A ,G'
Ivanov-Emolenekiy. may.
laboratoriyey - prof. N.M. Alekeandrov.~aya).
(DIMICEPHALON. physiol'
off. of exper. le:Ione on CNS In doge (Rua))
(CEIMRAL MWOUS STSTRM, physiol;
off. of diencepholic loolono In dogs (Rus))

BORMTAV, R.N.; ARTMMIKA. 11-1.
Diaorder of the higher nervous activity and
morphological changes
In the central nervous system In adronalectomized
animals* Probl.
enAo1c. I gorm. - 5 no.1;17-25 Xy-Jo '59. (HIRk 12:9)
1. Iz laboratorii aravnitellnoy patofisiologii vyashey
norvnoy
dayatellnosti (zav. - prof.L.I.Notlyarevokly) i
kabineta morfologit
teentralluoy nervnoy sistemy (sav. -
prof.H.H.Alokoandrovskaya)
Instituta vyashey nervnoy dayatellnosti Akademii nauk
SSSR (dlr. -
prof.L.G.Voronin).
(CMUL MVOUS SYST104, physiol.
higher nerv. activity, off. of adronalectomy
in rats (Rue))
(CAMILkL CORM, physiol.
off. of adrenalectomy in rate (Rua))
(Ara-MUCTOIff, off.
on cerebral cortex funct. & higher nerv.
activity in,rata.(Rup))

Morphological changes in the central nervous eyntem and
Internal
organs of white rats treated with prolonged sletyp
therapy in
experimontall:r Induced infections of a highly virulent
strepto-
cocous. Trudy Inst.vve.nerv.doiat.Ber.patofiziol.
6:324-339
159. (HIPA 12: 10)
(MVOUS Sys7m)
(STHMOCOGGAL INFRCTIONS)
(SLHHP--Tmmkpmlc USX)

\;ZZ
Morphological study of the brain and internal
organs of white
rate treated with penicillin in infection&
experimentally in-
duced ifith a highly virulent hemolytic
streptococ-oal culture.
Trudy Inet.vys.aerv.detat.Ser.patofistol. 6:340-349
'59.
(MIRA 12:10)
(BRAIN)
(STMIPTOCOCCAL IMCTIONS)
(PSNICILLIN)

Morphological character of the stractural chaAges In the
central
nervouis eyetem of white rate'during postnatal development
follo-
wing Irradiation of their mothers during pregnitney. Trudy
lost*
vya.uerv.delat. Ber.fixiol. 4:257-270 160. (KIRA 13-t7)
1. Is Tabineta morfologil mozga Instituta vysebey uervnoy
deystell-
nost! AN SSSR. Zavedxwushchiy kabluetom - M.N.
Alek-sandrovskaya.
(NMVM STSUM) (G&NKA RATS--PUSIOWGICM, M7=)

ARTYTLI~~
Struotural aharactarlatics of the synapses of the
motor a%-&&
of the cortex In rats. Arkh, anat., gist. I eubrs 49
no.81
21-28 Ag 165. (MMA 18, 9)
1. Laboratorlya morfologil t3entrallnoy neri-noy
slatemy (Sav.-
prof. M.M. Alsksandrovakaya) Instituta vyashey
nervnoy, dayatell-
nostl I neyrofiziologli AN SSSR, Moskva.

furl-,~Won of Ho v',;l]
."I "o-5:96X-973
'I Cool i-i:l nnyy 13 r~ xl omt vh(t: J!

a
0
ARTYUKHINA, N.M.; KARIMOVA, D.K.
Investigating the KIM-3 measuring instrument. Soob.GAISH
no.104t2l-38 161. (KRA 15:3)
(Optical Instruments)

ARTYUKHINA~ N. M.
I
"Nebula Andromeda." Trudy GAISIi
16, no. 1, 1949.
$0 % MTRA. May 1952

ARTYWHINA, N. 74.
ARTYUKHITIA., N. M. - "Calculation and Investigation of
the Proper Movement of
Stars it, the Region of North Pole Galaxies." Sub 24 Dec
52, Moscow Order
of Lenin Fitate U imeni M. V. Lomonosov. (Dissertation
for the Derree of
Candidate in Mysicomathematical. Sciences).
SO: Vechernaya Moskva january-December 1952

ARTYUKHINA,'N.M.
Proper motions of 132 stare In the region of the
j:slactic north pole.
Soob,GAISH no.81:3-19 152. (XLRA 7$5)
(Stare--Proper motion)

USSR/Astronwq - Stellar Motion Noy/bec 53
"Determination and Investigation of
11%aper Motion
,of Stars in Vicinity of North Pole of
the Galaxv,"
-N.M. Artyukhina~,-ttate Astron. Inst im
Shternberg
Astron Zhur.., Vol 30, No 6, pp 625-630
This work is done vith the purpose of
preparing
a catalog of proper motions of veak
stars in vi-
cinity of the north pole. Measuremuts
were ob-
tained for 1073 stars in ,2h 12m to 12h
32M and
+240 to 290. Indebted to Prof P.P.
Parenago.
Bee 10 Jun 53.

Subject USSR/Astronomy AID P - 376
Card 1/1 Pub. 8 - 6/12
Author Artyukhina, N. M.
Title "bpei-; Motions of the Stars of the Association Cepheus II
Periodical Astron. zhur., v. 31, 31 264-266, My-Je 1954
Abstract The work is devoted to further precision of proper motions
of the stars of the Cepheus II association. B. E. Markar-
yan's deduction about the expansion of this stellar group
is confirmed. Because of the comparative proximity of the
grouIr Jabout 600 parsecs from the sun), data of 17 of its
stars, taken from German, British End two Americaii catalogs,
were studied, and inaccuracies in the stars' proper motions
were corrected for the Inaccurate precession constant of
Newcomb. A table and two graphs are given. 2 references
(one Russian, 1953).
Institution : State Astronomical Institute im. Shternberg
Submitted : November 25, 1953

ARTYUKHINA. N.M.
Determining and owalysing proper motions of stare In the
region of
the 9alactio north poles Trudy GAIN 260-123 155. (MM
1013)
(Stars-Proper motion)

ANTIUKRINAO N.M.
Proper motions of stars In the region of clusters H71 and H20.
Trudy GAISH 270.3-35 156. (MIRA 12;1)
(Stara--Proper motion)

ARTTUKHINA,.,N.M.
Expansion of the association Cepheus 2, Trudy GAISH
27:203-209
156. (MIRA 12:1)
(Stara--Distribution)

30)
SOV/33-35-4-3/25
AUTHORSt
Artyukhiha, P.M. and Kholopov,
P.N.
'
TITLEs
ihe iistribu-tion~of Stellar Density in the Open
Star

Cluster E37 (Raspredeleniye zvezdnoy plotnosti v
rasseyan-

nom zvezdnom skoplenii M37)
PERIODICALt
Astronomicheakiy zhurnal, 1958, Vol 35, Nr 4, PP
524--547(rSSR)
A.BSTRLCTs
The authors present a detailed
investigation of the apparent

and
pace distribution of stare of different types p (red

,z
gia 8)9 swq+t (brightest stars), u and w in the open

cluster
M37- The inTestigations are based on the position#

magnitude
and colour index data of 1885 stare given by

Zeipel and
Lindgren CRef fl . The results are represented

in numerous
diagrams, and compared with each other. The

curves of equal
apparent density show that the groups of

stare have
different centers of concentration which are de-

termined
from these curves. The main object is the study ef

the
radial distiibution of the space density f(r) of the

single
groups with respect to their oenterB of concentration.

The
core of the cluster is the same for.&II groups. The core

contains for ea6h group a central zone of practically con-
Card 1/2
stant density and a zone of maximum gradient of
density

The Distribution of Stellar Density in the Open
SOV/33-35-4--3/25
Star Cluster M37
which is called the inner zone of the core. These zones are
most sharply defined for the groups p,s and do not coincide
for the four groups under consideration. The authors
particularly direct to the uncertainty in the results which
is caused by their very sensitive dependence on the adopted
positions of the centers of concentration,
There are 13 figures, 8 tables, and 11 references, 3 of
which
are Soviet, 3 American, 3 Swedish, and 2 German.
ASSOCIATIONsGos. astronomicheskiy in-t imeni
P.K.Shternberga
Astronomicheskiy sovet AF SSSR (State Astronomical
Institute
imeni P.K.Shternberg Astronomical Council.S USSR)
SUBMITTED: April 30, 1957
Card 2/2

13
30)
AUTHORS: Ar!pjjd~a 11~.M., and Karimova,D.K. SOV/33-36--i-15/31
TITLE: Meridian Proper Motions of '161 Stars in the Region of the
Belt
of Orion
PERIODICAL: Astronomicheskiy zhurnal, 1959,Vol 36,Nr 1,pp 121-128
(USSR)
~&BSTRACT: In the extensive table 1 the authors list the meridian
proper
Motions of 161 stars in the region of the belt of Orion being
of the spectral types 0 to AO; the probable errore are4+0q.010.
For 140 stars which can be counted as probable members of the
Orion association the dispersion of proper motions and tangential
velocities in each coordinate is detormined under the assumption
that the distance to the association is 400 P The dispersion
of tangential velocities in both coordinates 1 8-9 km/seo; this
result is in good agreement with other results. The authors use
publications of P.I.Bakulin Z-Ref 4_7 and P.P.Parenago f'Ref 51.
There are 2 tables, I figure, and 5 references, 4 of which are
Soviet, and I German.
ASSOCIATIONtOosudaretyennyy aetronomicheskiy inatitut imeni
P.K.Shternberga
(State Astronomical Institute imeni P.K.Shternberg)
SUBMITTED: April 119 1958
Card 1/1

3.14~o
T8013

SOV/355-37-1-13/31
AUTHOR:
na, N. M.

TITLE;
Pbotographic
Proper Motions and the Mean P&rallax

of RW Aur-Type Variable
Star8
PERIODICAL:
Astronomicheskiy zhurnal, 1960, Vol 5'j*, Nr 1,

PP 95-100 (USSR)
ABSTRACT-.
In her previous work (this Journal,
36, Nr 5, 1959)

the author studied the meridian eircle absolute

proper motions of 21 variables of RW type. The mean

parallax
obtained for these stars disagreed with the

value obtained by T.
A. Uranova who used proper motions

that had been derived
photographically for this purpoa~-

The present work demonstrates
that photographic proper

motions of these stars when reduced
41-.o absolute

motions statistically give a value of the mean
parallax

in good agreement with the value derived from meric;lan

circle observations. The proper motions of 21 stars

were derived
by comparing the positions from photographs

Card 1/1'

the -58-cm astrographic catalogues, The
obtained with

Photographic Proper Motions and the Mean -1801-~
Parallax of RW Aur-Type Variable Stars SOV/3~-37-1-13/31
ASSOCIATION;
SUBMITTED:
mean parallax of these stars was found to be 0".0026,
In good agreement w1th the previous value cf 01'.0035.
The author accepts the weighted mean value of 0".0030;
this corresponds to a distance of 300 it
compare-s- favorably with the estirrat.1--d 4,'-stancf-of the
T-a.,sociations and confirms the previo,is1y expressed
opirilon that Uranova used erroneou-- vaLues of absolute
proper motions In her study. There are 6 tables; and
6 sov4.et references.
Sternberg State Astronomical Institote (Gosudarst-
vennyy astronomicheskly 4,n-t Iment, P. K. Shternberga)
June 211, 1959
Card 2,12

ARTYUKHINA, N.K.
Proper motions of 332 stars in the vicinity of open star
cluster
NQC 7209. Trudy GAISH 30-.19&208 161. (MIRA 14t8)
(Stars--Proper motion)

ARTYUKHINAt .
Proper notions of 392 stars in the region of open star
cluster NGO
5855. Trudy QAISH 30 "l (MIRA 1418)
t;52a~r!'O - ion)
--Proper mot

ARTYUKHINA, N.M.
Proper motions of three W UoC--type stare in the region
of
the Pleiades cluster. Per.zvesdy 13 no.5:366-369 Je 161.
(MIU 15-8)
1. GosudarstyenW aBtronomicheskiy institut in.
P.K.Shternberga.
(Stars, Variablei3)

ARTYUKUNA, N.M.; KHOLOPOV, P.N.
Distribution of Btellar density in the cluster M 67-
Astron.zhur.
38 no.6:1039-1054 N-D 161. 041RA 14:11)
1. Gosudarstvennvy astronomicheskiy institut i.m.
P.K.Shteritberga.
(Stara--Cluster) (Starv--Demity)

A.ITYUKRINA, N.M,--
Proper motion of the star 13D 1+0043.24 associated with the nebula
S 213. Astron.zhur. 39 no.3*.549-550 Mtr-.Te 162. (MMA 15:5)
L Gosudarstvamyy astronomichaskiy irwtitut im, )?.K,Shternberga.
(Stara--Proper motion) (Nobtaae)

AAtM2Vj,, N.M.
Distribution of stellar density in the open Praeocepe
d1uster. Astron.zhur. 39 no.6:1050-1057 N-D 162. (KM
15:11)
1. Gosudarstvemyy astronomichookiy institut im.
F,,K, Shternbergas (Stars-Dansity)

'ARTYUKHINA,, N.M.. ~ ,
Positions and proper motions of several novae.
Astron.zhur. 40
no-4t682-690 JI-Ag 163. (MIRA 16t8)
1. Gosudarstvennyy astronomicheskiy institut 4m.
P.K.Shtersbarga.
(Stars, New)

ARTYUKRINA, N.M.; KHOLO-POV, P.N.
List of novae rooomended for the determination of
OoordiUateO
and proper motions. Aotronahur. 39 no.6tIU9-1131 x-D
162.
(MIRA 15:11)
1. Gosudarqtvennyy astronomicheakiy izwtitut im.
P.K. Shternberga. (Stars, New)

ARTYUKHINAP N.M.; KHOUNIOV, P.N.
Open cluster M 37 and the coronas of stAr clusters.
Astroni,
zhur, 40 no.6:1)(11-1111 V-D 163. (MIRA lb; 3.2)
1. Gosudarstvepjnyy astronomicheakiy institut. im.
P.K,Shternbarga.

ARTYUKHINA M.
. I -- _ _.,
Some new possible members of Praesepe cluster.
Astron.zhur. 41
no.21414-416 Mr-Ap 164. (MIRA 17:4)
1. Gosudarstvennyy antronomicheskiy inotitut im.
P.X.Shtern-barga.

A'RrYUKHINA, N.M.; KHOLOPOV, P.N.
Structure, population and dimensions of the star
cluster 14GG
752p Astron. zhur. 41 no-4:743-749 Jl-Ag f64 (MMA
17t8)
1. Gosudarstvennyy astronomicheskiy institut im.
P.K. Shtem-
berga.

A7JTYITK=A,
- - , ". . .
Structure of Praesepe cluster. Antron. zhur. 43 no. 1t132-137
Ja-F 166 (MIRA 19t2)
1. Gosudarstvennyy astronomicheskiy institut imeni P.K. Shtern-
berga. Submitted June 7, 1965.

ARTrUKHGVp A.
More about the "Fram-n" gun camera. Sov. foto 22
no,12:37
D 162,, (Mikk 16-- 1)
(cameras)

SVESIR-THOVA, A.F., nauk; TARIKEA.7iEYEi, P.T., nauchnyy
JulKlilln'two'll, Ye.!-',. ((hiskaya oblast');
ARTTUMOV, A.G. (Orp."Aava
oblast'); BELYAYEV, V.I. (Cmvkaya oblnstl)
Testing trichlorometaphos-3 againt3t warble flien.
Veterinarlia
42 no.11:49-50 N 165* (1,11RA 191l)
1. Sverdlovakaya i~nuchno-isslcdovatellskaya
veterinarnuya
stant-siya (for Sveshnikova,, nirkhaneyev).

RASPOPOV, I.V.; LUXASHOVt G.G.; PLISKANOVSKIY, S.T.;
ARTYUKHOV, B.N.;
TARkSOV, D.A.; ARIMAYEV, V.V.; Prinboali uchat3tiyes
ZKNYUKOV,
V.P.; MEMTSOV, N.S.; GODLEVSKIY, A.I.; LEVCHENKO, G.F.;
IEGTYAREVA, Z.I.; GORLACH, A.A.; YAKUS14ECHKIN, Ye.l. '
Intensifying the sintering process by air preheating and
by
improving the performance of exhaust fans. Stall 23 no.8t
679-682 Ag 163. (KRA 16:9)
1. Zhdanovskiy metallurgiche-.kiy institut i
metnllurgichaskiy
zavod "Azovstall."
(Sintering)

SAFRONKOV, Yu.L.; ARTYUKHOV, F.N.
Automatic device for wrapping rayon packageB. Khim.
volok. no.1s
26-27 162. (MIRA 18s4)

ARTYUKOOV, 0.
,U9 oanteot of hunting photographo 18 lklrotady a tradition.
Sovefoto 21 no.12:L2-Al D 161, (MIRA 14:12)
TPho'iography-Competitions)

.ARTYUlalOV. G
C-
Is there a need for ~photographic studintil In Suv.f'zAn
22 no*8;28-29 Ag 162, (111M 15 -- 7)
(Photographyp Journaliatia)

ARTTUKHOV, G.Ge, elaktromakhanik
Deficiencies of the TGK-3 thermoelectric generator, Avtom., telem. I
avial 2 no,50-0 My '58, (MIRA 11:5)
1,Kotallnikovskara distantei3ra signalizateii i avyazi Severo-
Kavkazakoy dorogi.
(Radio-Receivers and reception--Xquipment and supplies)
(Thermoelectricity)

YA.
"PTYU"",
"jig,
24
Pill!
14 if
JIM
-.:j oil
Hit

ARTYUKHOV, G. Y., LOOILTIER, A. I., PRCHOROV, Y. A.,
'.'TEKI,OV,'KIY, V. I,'.,
NOV, L. A., LEYFUNSV.IY, A. !., AND KlJ";"-,'NTi--OV, V.
A.
'IF-Kporinental sbidier. of some of the physical
fcatur,3s of
BerZ,11bim-nodcrated intermcdiatq reactors."
Report subrdtted f(-r the IAEA Snmimr on the Ph:-sics of
EaFt and Interrediata
Roactors, Viennaf 3-11 Aiig 1961.
Acad. Sci. USSR No:-,cow

ARTYMMOV, G.
Readers' snapshots. Boy, foto 17 no.3t4O-42 W 157. OWL 10W
(Photographs)

ARTYUIaIOV, G.
The child's world. Sov. foto 17 to.9:,27-29 3 157.
(Nm 10:0
(Photography of children)

A n T I 'V~A E-V , u . L' A .
Fotografirovanie zhivotnyk-h (Photography of snimals). Methodike J
tpkhnika fotoe",-mki
e.-k.h. zhivotnykh. Moskva, Sellkhozgiz, 1954. 192 p.
30; Monthly List of Ruefian Accessions, Vol 7. No. 6, Nov. 19154

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Vcwr$- 0.
Ya. ArtyWftV AM I. Kh. Eldus.

1

DoliladyAkati. Naskill.B.S.R. 65, 6310-311111491 On

It"At").

IQ
the light ol Ment investigations, it* extimsive mining-

pheric
showers cannot be considered as mere cascades of

electrons and
photons, the part played by heavy penetrating

and strongly
Ionizing particles In the eneratton and further

history of these
showers Is being Increasingly emphasized.

However. the expriment
of two Ionization chambers (Rat -

or#n&V et &I, ;NM!dy Aqd.
I~suk S. ". 1531(19411))

recording, as a rule. pulses a( un"al
intensity. can be

g
Interpreted lot only as a prod of the presence of heavy

0o
particles, but also as an Indication of nome narrow dense

me 0
birtims ol relativistic
particles present In the general struc-
lure of an extensive sliviver of lesser density. in order to
decide between I%* two possibilities. the authors measured
coincidences Ce and C6. In two groups *1 six "mutem rods -
ally arrarqed. By valn& brass filters end by varying the
distance between the two counter grougs. the conclusion was
rttched tMt the presence of rarrow, slower& alone cannot
account for the ine"ality of pulses In two lontaxtion chim.
berm placed in an extensive atmospheric shower.
&LLLqtGKAL LITER VVIIII CLASSIFICATIC)"
IQ* SIMIJIVO -
4,1441, " Q., ,
'X' J, IN 419
U s &V to -it 41 No it I a
0 0 4b 0 00 0 0 0 0 000 000009
to 0
%o
goo
goo
11490,
tie 0
WOO

US=/Nuclear Physica - Radlation, 21 Bev
Cosmic
Electron
Photon CCxq-'
poneat
"Formation of Righ-Energy Electrons and
Photons
in the Lower Atmospheric Strata by Cosmic
Redi&-
G. T. Zatsepla, L. I.
L. Kh. Rydiza, Pb7s M3st " meni P. N.
LebedeT.~ Aca& Sci USM, * PP'
PDod Ak Naux Mqa" Vol LVM; No 3
IND.
PWsI&8 RadiatIon, 2L Sep 49
(713IXtC 'C~~T'41
Dbsk-i-lbea study of bigt-energy
elo-,c=,ou-photm.
-c4qpohent cozdui;ted'In's--r 1948 on The
Pamirs.
According to confirmed bypothesis,
MKOWYary --C't sar-=tive partic-les are
formed
vhen spi!cisl . shovers are.. generated,
cau ing a
wacleocascade process. P-d ntal slam'
icance
of thIs process must be admitted noT.
only in
deYeloPment of wide shovers but also in
formation
Of high-enerW electron-photon componeat
in lover
ztr--t-- ef,st-arm-pbere.. Submitted %y
Acad D. V.
Skobell-tsyri 22 ~rul 49.

USM/Nuclear Energy - Comic Rays ii
Nov 49
Showers
"Generation of Electron-Photon
Components of
Eigh Energy," G. Ya. Artyukhov, G. T.
Zatsepin,
L. I. Saryche~va, L. Kh. Eydus, 'Phys
Inst Imeni
1~-bedev, Acad Sci USSR, 4 pp
"Dok Ak Nauk SSSR" Vol MIX, No 2
Confirms previous conclusion that
appearance
at average heights of high-energy
electrons is
generally explained by their
generation in the
depths of th-, atmosphere by
nuclear-active par-
~Jcles composing vidle _-4--m-pheric
shco-werse
WA
A-M 157T74
USSR/iquclear Energy - cosmic Rays 11
Nov 49
(Contd)
("special" showers in the air). Data
used vas
gathered in summer 1948 at 31860
meters eleva-
tion v-Ith aid of hodoecopes.
Electrons'and
photons studied had energies ars high
as
2-3 - 109 ev. Submitted 22 Jul 49 by
Acad
D. V. Skobelltsyn.
92M 1157T74

ARTTUKHOVp I.A.~, inzh.,,- YURGENSON, K.A.y inzh.
Utilization of casing-haad gas. Bezop.truda v prom
4 no.12i
16-~17 D 160, ~MIM .141 -1)
1. Neftegazovoye upravleniye Gromeftegaz.
(Gasp Natural)

-- IRTYUKPOVP L K. --BRUY, A. M. -..- TSYYFAI , V. - E.
42438. Reslialltaty Izuchenlya trauorlinykh sevooborotov. B
SP: cisnovnye vyvody
Po polevym opytam Za 1945-1947 GG Nkr. Nauk-Issled. In-T
zernovogo Kboz-Za
lin. Kuybysheva, Krast. opyt. pole). Dnepropetrovsk, 1948,
S. 1~L30.

ARTYUKHO I U
V ~ ~Y, , XAT-RICF, N. 1. 1. MOVARA, % VI.
42446. Sposoby Effektivnogo Ispolbzovaniya Minerelbtykh
Udobreniy pod
yarovuyu psbanitsu. V SB: Oanovnyye vyvocly Po polevyti
opytam ZA 1945-1947 CG
(Ukr. Nauch-Issled. In-T zernovop.:o Khoz-Va IM. kuybysh
ova.
erast. opyt. pole) Dnepropetrovsk, 1948,,S. 42-48.

ARTYUYPOVt 1. K. BORISONIIK, Z. B. j S TOVBU;'T', 1. F.
4,2445. Sroki i sposoby unesenlya minerallrqkh udobrenly pod
)racl%cen'
V SB: Osnovnyre vyvody po polevym olftam Za 1945-1947 GG.
(Ukr. Mauch-Issled.
In-T Zernovolo Khoz-VA IM. kuybysheva. Erast. Opyt. Fo3e).
Dwipropatrovsk, 1948,
S. 49-51.

- - ARTY-UKHOV, 1. -K.
Fertilizing a urass mixture at the time of summer sowing.
Agrobicilogiia, No. 1,
1952. Kandidat Seltakokhozyaystvennykh Nauk. Ukrainskiy
Nauchno--issledovateltakiy
Institut Zernovogo Khozysystva, g. Dnepropetrovsk.
SO; MLRA. June 1952.

V-, 11TROV I. K 'ruj1C1iIN'V.V.
2. UTM, (6CO)
4. Fertilizers and Manures
7. Importance of granulated fertilizers in incrt!asing the yield
of winter wheat on
chernozem soils of the steppe zone of the Ukrainian 3.3.i. I.K.
Artiukhov,
V.V. Turchin, Sov.agron. 11 no. 4, 1959.
9. Monthl List of Russian Accessions, Library of Congreas, APilll,
-1953, Uncl.

u --."7 1
r"-:, Fertill.zin- C;rn en t-- L-mozei- or f,%c
Ch
Lb 'Ai?
T4v rozult-, --we elven of -,~nrl- cindattcA ca the
test of the Ukrainian
of G~Tda Tho increase in (,Tz%%,,, W102.1
(up to 4.;') Lchlcved Ivy rpplylr.~; :AHt-
ral to the preccding cvcp ~nd to
corn itself, tho rLmurc ~iivirl:; better ref-wIta tiwn Wd
1n putua.~A Qh,,I~ "111CII applier! -.~a rosvinLf. 1,liez-A P.:
ill v- e0se of i-:i,

MWERM94A MIA
USSR)'Soil Science MUneral Fertilizcr~,. J-11
Abs Jour Ref Zhur - Biol-, No 3, 1958, 1052'',
Author Artvukhov. I.K.
Inst Academy of Science U1,.SSR
Title Combining 1,tanure and Mtnernl Pertili-,.ers in Field-Cro))
Rotation on the Stopper, of the Ll)r'11,11-d
Orig Pub Mestn. organ. vidobreniya U3',"111, K'Lyev, X-vid
1957, P-7-44.
Abstract The author discussco the influence of m.,jiure, ulion catabi-
ned with mtneral fertilizers, on bTaln crop naid on
their phasal development. Ilia findinas im. bw't'll on tile
results of uKuiy years of exoeriments conductr-ml oil tile
Erastov Experimental Field Onepropetrov*k-tyri obl.-rtst')
and at the Zherebkov Sci lies Station )f Field Husaandry
Card 1/2

/A id
USSR/J~ultivated Plants - Grains. M-2
Abs Jour Rof Zhur - Biol,) Wo 20) 1950) 91605
Author ArtyuWiov, I.K.
Inst AS Ukrainian SSR
Titlc The Influence of tio Joint Application of Manuro and
Mineral Fortilinero on tho Wintor Vniont Yiold in Relation
to the Preceding Crops.
Oria Pub V sb.: Mesti. orgar. udobreniya USSR. Kiyev, W USSSR, 1957,
66-75.
Abstract Conclusions are drawn from axperinanta.1 results made by
the Ukraine Institute of Grain Economy and inny experi-
ment stations on black soils of Ukraine SSR Steppe Zone.
An increase in the winter whent yield on fallowa was noted
when riincral phosphorous and potasslixa fertilizers were
applied together with mnure under the plant.
Cnrd 1/2
- 19
Uard 2/2

-116iv11)T.- K
USSR / Cultivatod Plants. Cercals.
Abs Jour i Rot Zhur - Biol., No 8, 1956, No 34657
Authors :_Artyukhov, I. K.; Zolotov, V. I.; Ryabuahko, G. V.
Im3t :vAcaT0-my--3T-Tc-T0-nccs USSIR (kiev)
Thle : Effectivonoss of Organic and Mineral Ferti-
lizors ill gasic and Cluater'lip~plivations to Corn
and Sunflowers.
Orig Pub : V. sb.: Mestn. orSan- udobraniya USSR, Kiov,
AN USSR, 1957, 76-86.
Abatract : No abstract.
Card 1/1

ARTYUIM07o IoX*, kand. 8al'GkOkhOzY8qstvGnn*% nauk;
RYABU'MIXO,, G,V,
Inoreasing the effect of minaral and orgazlo fertilizers
on gunflollpers
in the steppe sons of the Ukrainian 1&;S.R; Agrobiclogila
no'2195-100
" 00.
0 N& 11W
I; Voeooy=ny7 nauchno-issledovatellOdy Institut kuhumay,,
DAspro..
petrovsk. (UkrAine-Omflowers) (Ifertilizere anA manures)

ARI-iIJKF,OV, losif Konstantinovich, kand.
sellkhoz.nmik: ZADONTSEVA.Iss
------- WuAjd URSH, akademik, red.; LIM SMkYA,, q. 1.
-,
-2a ;nslk .1,
'j,'ied., GLUSIII,'O,G.I.(111ushko,11.I.10 tokhn.rod.
[Effective measuzes for corn fertilization] Efoktyvni
za-t-
khody udobrennia kukurudzy. Dripropetrovalk,
Dnipropetrovslke
krWzhkove vyd-vo, 1961. 24 P. NIHA 15:7)
h Direktor Vseso5,ixznogo iinuchno-isgledovatellokogo
instituta
kukiu-uzy i Vsesoyuznaya akaderAya sell
skokhovyaystvennykh nauk
im. V.1.1,enina (for Zadont-vev).
(Ukraino-Corn O-Iaizo))-Fertilizors and manures)

ARTYUKHOV, I.K., kand. sellskokhoz. nauk
Effectiveness of fertilizers in the steppe of the Ukraine.
Zendedelie 26 no.1:26-33 Ja'64. 1,..qIRA 17:5)
1. Voesoyuznyy nauchno-issledovatellskiy institut ku3,,uruzy,,

4T
L A . L I S I A
4
-A 'Utwastioa of Baltic &halt$ for the ener T suppl) of
ConinVed and sumundirtlis I q1I III,.% ) k"IlI
No. 4, l7-L.)j(j4j7j. 00
pillmashle Jklik. 41.11t. J. K 1. 1111hrl 111.111 1,11, Skill.
-0
.11 tkhl' ill 4.1111 It 1 %1.1-1
prt Inn -if stude owl vAlle A l1w 111--- 11.1,
64.. 4.&1 MI
ID
00 OW111tv It kg
6A.. ORIVIII
.00
09
0
ot%
o0 10 0
~**Oetoooooloeo
we 0
1o 0
0
vq:
%o
-0
'.'Igoe
ago
.00
be 0
bee
�~-i i4' 4
t, 7111 An I a 'Id 0 it
dna:
go 0 0000 00 0 0 N 000 0
00000090000

ARTYUKHOV) 1. 14.
PA 1ST6
MR/Shale Aug 1947
Fuel 00me.-Tation
"Efficient Utilization of Baltic Shale," I. M.
Artyukhov, 3 pp
"Za Mconomiyu Topliva" No 8
Old method of Incinerating schists in layer farnacee
was most uneconomical. Therefore, there was in-
traduced a low-temperature diatillation of shale) con-
ducted in tunnel furnaces, where temperatures rise to
450 - 5500 C. Diagrams of ~ttrnaces. There is also a
me-thod of continuous gasi-f .~;ation of shale which is
carried out by means of lInch-type gas generators.
18T6

ARTYUXHQY--Ivan Hikhaylovich, kandiclat takhnichookikh
nauk; SHORIN,
Serafim Ilikolayevich, doktor tekhnicheekikh nauk;
NOVOCHADOV, A.D.,
redaktor; KONYASHINA, A.D., takhnichookly redaktor
[Gas supply) Gazoonabzhenie. Moskva, lzd-vo
Hinisterstva kommunall-
nogo khoiciaistva RSFSR, 1956, 325 P- (KLRA 9:9)
(Gas supplv)

KOKURIN, A.D., A]ITTMOV,, I-K, ZVTAGINA, K-F-
Continuoixe Iron and steam method for the production of hydrogen.
Trudy LTI n0-51:30-38 '59- (MMA 1:1:8)
(Rldrogen) '(Iron ores) (coal)

jiRITIUKHOV, I.M.
Now method of converting hydrocarbons with the parpose of obtain-
ing ganee to be-uedd Lu organic synthesis. Izv*iys.ucheb6Sav*;
khiw..i kbim.tekh. 2 do.5:784-789 159. (MIRA 1318)
1. V'sesoyuzmyy nauchno-iBsledovatellakly institut neftekhisicbeekikh
protsessov VNIIUYTInIM.
(Hidrocarbons)
Whemistry, qrganic--Synthesie)

- ARTYUKHOV., I.M.
Modeling of reaction systems in certain processes of the
heterogenous conversioA of hydrocarbons. Zhur. prikl.
Ithim. 33 no.11:2512-2520 N 160. WRA 14:4)
I. Vaesoyuznyy nauchno-ionledovatellskiy ins itut neftekhimi-
aheskikb protsessov. (Hydrocarbons)

PHASE I BOOK EXPLOITATION SCIV/5480
Artyukhov, Ivan Mikhaylovich
Okielitelina,ya konversiya uglevod6rodov (Oxidative
Conversion of Hydrocarbons)
Leningrad, Gostoptakhizdat, 1961. 90 p. (Seriest
Vsesqpiznyy nauchno-
issladovatellskiy institut neftekhimichaskikh protsessov.
Trudy, vyp. 4)
Errata slip inserted. 3sOOO Copies printed.
Sponsoring Agency: Gosudarstvenn" komitat Soveta Ministrov
SSSR po khimii..
Scientific Ed.: D.V. Mushenko; Executive Fd.t M.G.
Deshalyt; Tec.-,. Ed.: I.M.
Gennad'yeva.
PURPOSE: This bouk is intended for engineers and scientists
in the petroleum and
chemical industries.
COVERAGEt The book contains the transactions of the
All-Urdon Scientific Research
Institute for Petro2sum Chemistry Processes (VNIINeftek1t)
and treats problems
in applied and theoretical chemistry. The book is part of a
series to be pub-
lished under the general title Termicheskaya i
katalioheskaya konversiya
Card::q~

OxidaiJve Conversion of Hydrocarbons SOV/5480
uglevodorodov (Thermal and Catalytic Ccnversion of
Hydrocarbons). The work
treats processes of hydrocarbon conversion to produce
iritial products for
petroleum chemical industries. Experimental data aad
theoretical problems in
the oxidative corversion of hydrocarbons are reviewed, and
some generalizations
on pyrolysis and dehydrogenation are made. Special attention
is given to a
purportedly now method of hydrocarbon conversion developed
under the guidance of
the author (Refs. 1 - 4] and based on the use of iron as an
oxygen carrier. The
author thanks V.I. Lyubomirova, V. I. Sedoval N. T.
Kiryakina, and A.P. Khitrov.
There are 9 references, all Soviet.
TABLE OF CONTRITS:
Introduction
3
Ch. 1. Raw Materials Used in Oxidative Conversion 5
Ch. II. Theoretical Features of Oxidative
Hydrocarbon-Convorsion
Processes 10
Card--,21~-
4

ARTYUKHOV, Ivan Mikhayl ch4-kiUS11,001 D.V., nauchnyy red.;
Di;SHALYT, M.G.,
2yL
GaNAD'YEVA, I.M., takhn.red.
[Oxidativo conversion of hydrocarbons] Okislitollnaia
konversi~a
uglovodorodov. Leningrady Gos .. nauchn.-tekhn.i:;d-vo
neft,i gorno-
topli~noi lit-ry. Leniftgr. otd-nie, 1(,~61. 90 ji.
(Vsesbiuznyi nauchno-
insledovatellskii institut neftakhimicheakikh protsessov.
Trudyp
n0.4) (Oxidation) (MIRA 14:7)

ARTYUKHCYV,l I.M.
Metfods for the development of experimental data in nodelip'g- the
proceeses of heterogeneous chomical transformation of aubdtanceFj.
XhimA tekh.to~I.i masel 6 no.1203-57 D!1,61. (MIPA l5a)
1. Yeesoyawyy nauchno-issiedavateltakiy institut neftekhimicheokikh
protsessov,
(chemical reactions) (Chemical models)

ARMUOVS I.M. DINERo I.S.p VASILIVYEVp S.F.v LAPIDESs
A.A., MOSINp A.M.
Production of olefins by pyrolysis of petroleum
products.
Peport presented at the l2th ~'onference on high
molecular weight compounds
devoted, to monomeraj, Bakup 3-7 April 62

GORISLAVE7S) 5.P. [Iforyslavets', S.P.), kand. tvkhn.
n~iuk- KOZ111AN, A.P.)
y
kand. tekhn. nauk; MAYOROV, V.I., kiind. tekhn. nauk-,
MUEMNA, T.N.
[MukhJna, T.M.), kand. tekhn. nauk; ARTYUKHOV, I.M.,
kand. tekhn.
nauk
Block steam superheaters. Kh1m. prom. no.4t29-30 O-D
164.
(FJRA 1,8:~)

ARTYUKHOV, M.; MACH, N.
bank and the struggle with additions. Fin. SvSII 22 no.7:
81-83 J3. 161. (HIM 1417)
1. Starobty kontroler-rovizor Krannodarokoy krayovoy kontory
Stroybanka (Ifor Artyukhov). 2. Starshiy ekonomist Krasnadarskoy
krayevoy kontory Stroybanka (for Tkach).
(Banks and banking)
(Construction industry"Auditing and inspaction).

Xk=3n'ISTKIY. V.A. [Kakuievvstlkyi, V.A.],
kand.tekhn.nauk;-A~T=~~Oy,
M!A~.inzh.
Building surfaces up by pulsation welding. Mekh.
oil'. hosp. 11
no.9:3-5 S 160. Mectric welding) (MIRA 13:9)

KAKUYEVITSKIYP V.A., kand,tekhn,nauk.1 ARTYUKTIOVv &A0
FaUque qtrength of GAZ engine crankshafts. Avt.prom. 28
no.n,
34-36 N 162. (MMA 10:1)
1. Ukrainskiy dorozhno-transportnyy
nauchno-Issleelovatellakiy
inatitut. (Cra,48 and crankshafts-Tecting)

TROYEI?OLISX.TYp V.N.p Inzh.; DIVErHV,, P.A.o inzho; ARTYUKOV, M.I.,
inzh.
Electric contac+ welding in rail-welding trainsi Trano. stroi.
13 no.W4,17 Ag 1630 NIRA 17:2)

ti ~% 1 Y j I t I tz, I!
' I* I - - -- --- --- - - --- -
.I. U-17ENTOV, 'I.I.; -CATYUKOY, II.L.
2. U33R (600)
4. nlectric Welding
7. Automatic welding of rods under flux, Eng. V.I. Elementuov, M.L.
Artjukov, Avtog.delo.
24 no. 4, 1953.
9. Monthly List of Russian Accessions, Library of Congress, APHIL
1953, Uncl.

AUTHOR s
Avtyukhov, M.L. I 1:,-2-1k~0
TITLEt
On a Ilethod for
Counting the Tnt3g-Xal Pointfi An

Polyhedra (Ob odnom metode
scheta tselykh tochelt v

mnoaoErannikakh)

SSSR
PERIODICAM
Doklady Akademii Nauk/,_1956, Vol I 18,11r 2, 1)1 'A

ADSrIPEACT:
The author considers an n-dimensional int(wal
roint ILttice

and attributes according to a very
co.,npli,,atid j.c!tL~d a cer-

tain weight to each element
of the lattic-D (lattice, points

and different-dimensional
hyperplaner. thr,)ugh th,: lattice

points). The method then
is extended to t'ie polylicdri lying

in such a "lattice
space". The weight of a polyh~_droi, tlius

define proves to
be additive for algebraic aidition c~f the

polyhedra. Under
restriction to certain 11tipecial polyhOdra"

the author
obtains as his main result the theorems

The weight of each
special parallolohedroti is eqi,,al to ',;Iho

n-dimonalonal
volumt) of tho pnrallolohodron.

Three further theorems
contain a general i2,rLt i on

rollaries of the fundamental
theorem.

As a special c ase one obtains Ehrhart's rEwilt

the
number of intogral points in the polygcii alth IjItagMI
(,'nrd I/

On a Mfethod for Counting the MMtegM3. Points in
n-Dimenelonal 20-116-2-1/60
,Polyhedra
corners. There !a I non-Soviet reference.
'PRESMITEDs Jul.,( 1, 1957, by IX'. Vinogradov, Aoademiclan
SUBMITTEDs June 24, 1957
AUILABLE t Library of Congress
Card 2/2

89984
B/039/60/0-51/004/006/007XX
/1. /640 lll/ C 3.53
AIITHORs Artyukhov, M. M. (Ordzhonikidze)
TITLE: Pormulas for the number of solutions oT some systems
of linear diophantic, inequalities
PERIODICAL: Matematicheskiy abornik, v. 51, no. 4, 1960, 501-514
TEXT: The author considers the system
m < f .4 )A
I M 1 as I I
m2 f2 M2' M
m f 4e- M
n n 2A n.
where f aix1 + a i x 2+ + ai X lp2j..., n The determi-
nant n
all ainji.
>0
Card l/ 8 ani ann

89984
S1039 60/051/004/006/007XX
Formulas for the number of C Ill C 333
To the system (1) there corresponds an n-dimensional
parallelogram P.
The k-dimensional boundary parallelograms of P whioh
are defined by
k inequalities of the type (1) and by n-k equations f,
" M i are
denoted by P . Let a be integerl the greatest co:rmon
divisor d(i)
. k iia a is assumed to be equal to 1
of the numbers a i9 i i
fDr all i. For the matrix
ai11 ai 12 . . . . . ai n
ai21 a1 22 a1 2n
aisI ai s2 a1 9n
composed of s(1 "="- s~5 n) different rows of (1), let
r(i int..
i.)denote the square root of the sum of the sjuares
ol'a
Card 21 a

89984
3/039/60/05i/004/006/007M
Formulas for the number of 0 ill/ C 333
highest determinants of the matrix; d(i the greatest
1, It Y" 'a
common divisor of the highost determinants of the matrix. Lot Aij
be the algobraic complemen of aij in Let T(:~) be the greatest
common divisor of the A A A Let T("ily i ... ' is)
'2"'*' in 29
be the greatest common d sor of th
Ir (il) I T ('2)1 T(i,). Let ,"-i - Mi - mi
4f
For the volumes of P and Pk there hold the formulE.s
V(P) &-2 . . . n-1' (4)
V(Pk) jk-leki 6-'-12 d1lik 6 (ik+l' ik+2'**" in) - (5)
The author gives a series of further auxiliary formulas with
geometric
interpretation.
In the following the author makes further restrictions. The
system
Card 3/8

89984
S/039 60/,351/004/006/007xx
Formulas for the number of 0 111~ 0 333
(1) is considered only for~the case eAi- W , where Xi
are
4
natural numbers. An integen solution satisfying (1)
without equality
signs ic denoted as internal solution, all other
Integer solutions
are denotel as peripheric solutions. The weight ol an
internal
solution is defined to be 1, the weight of a
pejipheric solution
which satisfies k equations is defined to be 2 . Let
~ be the sum
of all weights of the solutions (weightened number of
solutions).
Let ',p be the rigorous number of the solutions. If
then (1) is called a translated-inteirer system. If,
moreover, the system fl - MV f2 - M2' "' fn - M11 is
solvable in
integers, then (1) is called integer.
Theorem D For a translated-integer system (1) it
always holds
n-1 X1 X2. "'Xn (19)
IC F
VM r-M.. n)
Card 4/8

89984
S/039 60/C'51/004/006/007,U
Formulas for the number of C 111~ C 333
Corollarys If in (1) all the M i are non-integer,
then
kp-,Fn-I )~ X2... A n
Theorem 113 If in the mixed system
Mdc f
I= 1 i -Mi,
m f A'-' M
2 2 W4 2
..............
M .4 m (20)
k 'k fk =r k
fk+I Mk+1'
f, k+2Mk+2'
f
n n
Card 5/6

89984
S/039/60/051/004/006/007xx
Formulas for the number of ill/ C 333
xjj
it holds M T M
'(i) all i - 1,2,..., k, Eind
for all I k+l, ..., n, where are natural numbers,
and.:if*to every integer solution of (20) there is
assigned a weight
1 if the solution satisfies all the strict inoqualitieS
of the system,
while to the solution there is assigned the weight 1/2
, if the
solution satisfies s equations from the k first lime of
(1), then
it holds
4k-1 Al d(k+l, k+2,..., n) (21)
-C(1)t(2). ..
for the number of the a ions of (20) weightened in this
way.
Theorem IM If (1) is a nteger system, then
Card 618

Formulas for the number of
n k-1
k-O 1 Ir i. 1 2< i x i xi Mr +
k-i 1 20' k 1).C('2)" '7k
There is 1 Soviet-bloc reference.
SUBMITTEDs December 22, 1958
Card 6/8

,Mj)~OVI M.M. (Ordzhonikidze)
Problem of the number of integral points in some
tetrahedra. Mat.
abor. 57 no.1:3-12 My 162, (MIRA 1685)
(Aggregates) (Tetrahedra)