SCIENTIFIC ABSTRACT BIRMAN, B. A. - BIRMAN, M. S.
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L o524M7 W(l) OW
ACC NRI AT6013757 1Y) SOURCE CODE: UR/2667/65/000/033/0173
~AUTJIORI )31rman, B. A.
ORG: none*
j 6
TITLE-. Statistical analysis of the factor for converting from the
number of days with pre-
if
cipitation to their recurrenos
19kiy Institut aeroklimatologii.
SOURCEAMoscow. Nanobno-looledovatel' Trudyt no. 33,
1965. Voprosy klimatologil (Problems in climatology), 173-176
TOPIC TAGS: atmospheric precipitation, diurnal variation, statistic
analysis
ABSTRACT: The periods of observational years during which It P
possible to calculate the
factor for converting from the number of days with precipitation to
their recurrence are ex-
amined. The Investigation was carried out on the basis of analyzing
the result of processing
meteorological observations of precipitation for two stations:
Valentin (Soviet Union) and
SaW (Japan). Periods of 5, 10, and 15 y-t. were selected at random
between 1936 and 1962.
The conversion factor was calculated by thla formula
K
nm
L 05248-67
ACC NRI AT6013757
,Aere S Is the number of cases with precipitation, n Is the number
of days with precipitationt
In Is the number of observ.-ktional periods. The results of the
calculation were smoothed out
for three successive months by the moving average method. It was
found that when oalculat-
ing the factor for converting from the number of days with
precipitation to their frequency, a
10-yr period of averaging Is sufficient. The observational years
should be selected at random
in order to obtain a more accurate sampling means of the
conversion factor. A 26-yr period
of observation Is sufficient for calculating the average number of
days with precipitation.
OrIg. art. has: 8 formulas and 1 figure.
SUB CODEs 04,12/ SUBM DATEs hone/ ORIG REF., 005
Cord 2/2
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JA CU. jk)yi -/6A
ACC Nk AT06-02-2-4-2- 5 ' URdE COD - UR/2564/6.17( 110" 6 'k 21
'Iel -- --' !v -~~ - Ln-n
AUTHOR: Izvekov, V. N..; Sy123MM.,. L.A.; 0bukhovskly, Ya. A.;
Dirman. D. 1. t5,;'
ORG: -no-
TITLE: Preparation of single crystals~o refractory compounds from
binary or multicomponei
systems and effect of temperature coniMions of growth on their
form and faceting
SOURCE: AN SSSR. Institut kristallozrafti. Rost kristallov, v. 6,
1965, 116-121
TOPIC TAGS: single crystal growing, cadmium sulfide, aluminum
oxide, tungstate, titanate,
calcium compound, strontium compound, ruby, corundum
,;? /' V t1' __; ---
ABSTRACT: The authors studied the grow of eadmium,sulfide single
crystals from nielts of
cad%kum chloride and iodide and their mixtures,-and-Ithe-CroW-Eh
of single crysla1s of c~ -c-orun-
.qum%?ruby), rutile, strontium titanate and calcium tungstate from
fluorides. CdS single
crystals with a wurtzite lattice were obtained in the 600 - 380C
range from the CdS-CdC12-
Cd12 system. The other (oxide) crystals were grown in platinum
crucibles in the 1200 - 700C
range with slow cooling. An important feature revealed by these
experiments is the dependenci
of the crystal habit of the crystals obtained on the temperature
range of the crystaUlzation.
This phenomenon is explained by differences in the growth rates of
faces having different
crystallographical Indices, particularly surface roughness. Ile
concept of the influence of
1/2
1 11879-66':-
ACC NRI AT6002242
surface roughness on the growth forins of crystals is extended to
binary and multicomponent
systems. Orig. art. has: 6 figures and I table.
SUB CODE: V, I I / SUBM DATE: none/ ORIG REP. 004/ OTH RE F- 005
BMIAN, B. I, p inzli.
Carbon dioxide shielded welding of the in*ernal
chamber of a
refrigerator* Svar, proizve 12,35 D 163o (MIRA
18:9)
.L
1. Vasillkovskiy zavod kholod~llnikvv.
1 4 S A
A L A 2. ft
set
0 8
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004
AdvAulitradcon of swU dons of bromaste S; mourvotic
rtkaft, 1. S. Valrol and 11, N. Hirmoin. NO.
$my". lost. FASJW. ioa. Im. NiZA, liv, ii-12-'111
Ms Iven used by PosvIttv's Wit. on ranirmis Win&
disturbance - fAm dm" of Hr em efirvotitv
In 011"11 W the "SUOUS'. types (of norewtus sittem florr.
clamism-c of ruitottoory peoressirs) while sma doters gave
1w "verak" types (gor"lowtivia"re got its.
This nwthmt was apphrol by the wo,
1burs to 40 vorufastfornic poWnts, who worts, given Or Im a
Perim u# 3 -8 W"Its. Small 4kxwa wtir umat effevrotive 12
tistokqRucomitub Of 6 0- 1 -4)-25 =An- 4-1,41- O"VotTiMlY in
CUM1111111111d" Instsonnix, at ww ineffective Is cum vah"t-
in& so hiscomonia. in 8/6 uf the cascot the effects of Hr Per-
visted for a few sumthmo &her 011 SdMWVZ&U- was dis-
cmtbwd ishk in the athm the bme&W effectil Isomoted
only as Hr was os"nistercol. to nod mm the
osecceripanled by mic-
k= symptoms were
increases in the bkpod Hr. a. A. Carson
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Role of hypnotic and sleep inhibition In the
pathogenesis and -in
the treatment of neurotic syndromes. Zh. vyeshel nerv.
deiat... Pavlova
I no. 1:67-73 Jan-Feb 1951. (CLML 2225)
BIMM, B.N.
NuMMUM"
Results of clinico-physiological determination of
types of the hi&*r
nervous hinction. 2h. vysshel nerv. delat. 1 no.
6:878-M Nov-Doo
1951, (OLML 23'-3)
1, LeningraAL
BIRW, B. N.
I
Work@ of I.P. Payloy In the field of clinical neurologr.
Nevropat.
PsMiat-, Moskva 20 no-627-12 SePt-Oot 51- (CIML 21:4)
1. Leningma.
sow
BIRMAN, B.S.
Development of the Pavlovian theory In clinical
neurology. Zh. vysshei
nerv. deiat. 3 no.1:71-76 Jan-70b 1953. (CLKL 24:2)
1, Author deceased,
BIRMAN, Erzsebat__.''
Foreigh experleness, rolated to the use of time norms.
Epites
. Iesemle 5 40,4 102-105 161.
,-i-'
BIFMAN,_~rz"~e~~ tudomanyos titkar; KRISKA, Jozoef,
fomernok
Present achievements and further tasks of the
Construction
Economy Section, Perma ent Committee on
Architecture. Epites
szemle 7 no.6:17,4-176 163.
1. Epitesugyi 14iniazterium Epitesgazdasagi es
Szervezesi
Intezet (for Birman).
2. Orszagos Tervhivatal Epitesi Foosztalya (for
Kriska).
XOSAP Janos (Budapest); HkWR, Peter; IVANKA,
Istvan; MOLNAR,
Mihaly; BIRMANN, Geza_(Budapeot); ILLES, Janos
(Budapest)
Forum of innovators. Ujit lap 15 no. 16:30 25
Ag 163,
DAVIDOVA, B,, inshonarLILIIN*JL-,I..,....Inshenere
Rev ceramic product@ for finishing houBe exterlors.
Stroitell 2
no.1-1:32 N 1~60 (NLU loti)
(Hollow brick) (Tile)
e length of time spent in
Fratory salmon in conneation with th these fish.
Nnuber of mig 0)
.fresh water and the origin of the migratory form of life
of (NM 6:1
Zool.sbur. 32 no.5:923-931 3-0 '53-
1. Am skoe otdoleniye Tikhookeanskogo Institute, rybnogo
kho%7aVstT&-
(Salmon)
BMUM.I.B.
Iffect of the maximum of solar activity on the conditions
of reproductioa
of Oncorhinchus gorbuscha (Valbsum) Dokl. AN SSSR 103
no.4:717-719 Ag
155. (MLRA 8-11)
1. Azurskoye otdolenlye Tikhookeanskogo
nauchno-inaledovatellskogo in-
stituta rybnogo khosyaystTa I okeanografii. Predstavleno
akademikom
Te.N.Pavlovskim,
(salmon)
BIRMAN, I.B.
local schools of fall-spawning keta in the Amw Basin.
Yop.ikht.
no.7:158-173 156, (KIRA 100)
1e Am=skoye otdoleniye Tikhookenrikogo
nauchnl-issledovatellskogo
instituta morskogo rybnogo khoxyaptTa i okeanografii,
(Am= River-Salmon)
XMNW, I. B
On the causes of one of the pecullariliep in Oncorhynchas
gorbaschs, (Valb.) In the Sea of Japan (with Inglish
summary in
insert). Zool.shur.35 no.11:1681-1684 1) 156. NLRA 10:1)
1. Awurskoye otdolentya Tikhookeanskogv Institute, rybnogo
khosyaystva.
(Japan, Sea of--Salmon)
Wool"
too' Y,,rshic and the popalation of the Azw fall keta
(Oncorhymchus
keta. (Walb.) infrasp. autumnalle). Voj~.ikht. no.8:
157.
NLRA 10: 8)
1.Amurskoys otdoloniya Tikhookeanskoro
nauchno-issledc-,,~Ltellakogo
instituta rybnogo khoz,,raystva i oksanograftl.
(Amur River--Salmon)
(Japan current)
90
AVTHOR.-
Birman, I. B. ")0V/20-122-1-40/44
TITLE:
On the
Distribution and Spawning Migrations of Oncorhynchus
Gorbuscha
lial.b. in the North-Neptern Part of the Pacific (0
,asproBtranenii i nerestovykh.migratsiyakh gorbushi,
(oncorhynchus
gorbuscha Walb.) v severo-zapadnoy chasti Tikhogo
okeana)
PERIODICAL-
Doklady Akademii nauk SbSR, 19~8, Vol 122,
Nr 1, pp 146-148
(USSR)
ABSTRACT:
Since 1955 the author has
investigated the problem mentioned in
the title. Informations
on new salmon types are given only for
the purpose of
comparison. On figure 1 the data obtained in the
years 79~5 and
1957 are combined. Based upon these and other
observations the
author coiild draw the following conclusions:
Before the
occurrence of the Oncorhynchus gorbuscha Walb. in
masses in the
coastal waters of the Kurils (Kurillskaya gryada)
Id alrenay be
l'ound in the east-
and 'Fast Kamchatka it cou
-
wear-ern direction in t~~'whole investigated region and an
either
Bide of it. Towards the'coast the fish move widely dis-
tributed forming a broad front the length of which corresponds
about to that of the mentioned mainland regions (Fig 1). The
Card 1/3
opinion that,there are two compietely separated places
of
I SOV/20-122-1-40/44
On the Distribution and Spawning Migrations of Oncorhynchus
Gorbuscha Walb.
in the North-Western Part of the Pacific
hib6rnation of this type of' salmon is therefore to be
rejected
(Ref 2). The opinion (Refs 1.2) that the main part of
Oncorhynchus gorbuBcha Walb. passes the western part of the
4leutians (Aleutakaya gryada), the Comnander Islands
*mmandarddye) and the eastern shore of Kamchatka south of Cape
Kronotskiy does not correspond to the results of this investi-
gation. The migration of Oncorhynchus gorbuscha Walb. to the
!~-!outh takes only place for a short distance south of the
:-vachinskiy bay (Refs 3,4). As it is known, ths number of
Oncorhynchus gorbuscha Walb. of East Kamchatka is only a frac-
tion of that of West Kamchatka. That part of the Pacific that
borders the Kurils (Kurillskaya gryada) and Hokkaido
(Khokkaydo)
is far more important for the Kamchatka Oncorhynchus gorbuscha
Walb. as a place of feeding and hibernation than the region
south of the Aleutians. The rivers of East Kamchatka are of
far
greater importanc6 for the reproduction of Oncorhynchus
gorbuscha Vialb. than the rivers of West Kamchatka. In this
con-
nection the latter are of far greater importance for the Keta
Cara 2"t and Wrasnaya types of salmon. There are 2 figures
and 6 ref-
,,- BrMUN 1 B
Distribution of some pelagic fishes In the northern part of
the
Atlantic Ocean (with summary in Inglish]. Zool. zhur. 37
no.7:
105 8-1062 JI 13 8. (min n-. 8)
1.1knehatakoys otdolenlys fikhookeanskogo
nauchno-iouladovatellskago
instituta. rybnogo khospystva i okeanografii,Pstropavlovsk-
lanchatskly, (Atlantic Ooean-Pishes, Pelagic)
BIMAW, I.B.
- --l
'Distribution and ol*vning migrations of the salmon
Oncerhynchus
garbushphs W&lb. Dskl. AN SSSR 1.22 no.1:146-148 3 158.
(XINA 111:10)
1.Predstavlono ake4oulten U.N. Pavlovskim.
(Faelf 10 Cason-Salmon)
BIRMO, 1. B,
Nor* on the Influence of Kuroshio on the dymamics of
salmon opulations.
Vop. Ikht. =13SI648 159. (MIRA 13:35
1,1ancahtskoye otdolealys T$Ichooksounkago
nauchno-isaledovatel-
skogo instItuts mors)Dogo rybnogo khotyaystys i
okeanografti (TINRO).
(fteific Ocem-Balmon) (luroshio)
i
~, SIRW, I.S.
Time of the formation of annual rings on scales of the
Pacific
salmon and growth rate of the hu*back salmon. Dokl.AN
SSSR
232 no.5:1187-1190 J* 160. (XM 13t6)
1. UnchiLtskoye otdolentle Tikhookeanskogo
nauchno-issladovatell-
skog'o instituts morskogo rybnogo khoMetva i
okeanografii, Pred-
stayleno akademikon To. 11. Paylovskine
(Scales (Pishes)) (Pacific Ocean-Salmon)
(Growth)
B.IRMAII I B
Q
f7L~~i
Recent data on the marine period of life and sea
fisbaries of
the Pacific-salmon. Trudy Bov. Ikbt. kom. no.10:151-164
160.
(MMA 13:10)
1. Kamchatokove otdoleniye Tikhookeannkogo
nauchno-iseledovatellakogo
instituta morskogo rybnogo khotyaystva I okeanografii
(TISRO).
(Pacific Ocean--Salmon)
PAVLOVSKIY, Ye.N.9 akademik-, glav. red.; MOISEYEV,
P.A., otv. red.;
S-41IRNOVI A.I., zam. otv. red.; BIWX,,-I.BI., red.;
KAGANOVSKIY, A.G., red.; nOGIUS, F.V.p red.; faMUN,
Ye.M., red.; KUMIKUV, I.I.p red; LAGUNOV, I.I., red.;
FANIIII K.I., red.; SaIKO, R.S.p red.; PkUll, II.V.,
red.
[Salmon fisheries of the Far Fast; materials] Lososevoe
kho-
ziaistvo Dallnego Vostoka; materialy. Moskva, Nauka,
1964.
201 p. (MIRA 17:9)
1. Soveshchaniye po voprosam lososevogo khozyaystva
Dallnego
Vostoka. 3d, Pet-opavlovsk-Kamehatskiy, 1960. 2.
Vsesoyuznyy
nauchno-issledo-tatellskiy institut morskogo rybnogo
khozyay-
stva i okeanografii (for Vioiseyev). 3. Kamchatskoye
otdele-
n1ye Tikhookeanskogo nauchno-issledovateliskogo
instituta
rybnogo khozyaystva i okeanografii (for Semko,, Birman,
Krokhin, Kurenkov). 4. Kafedra'ikhtiologii Moskovskogo
uni-
versiteta imeni M.V.Lomonosova (for Smirnov).
BIRMAN) I.B.
Vertical nigrationi and vertical distribution of salmon in
the sea. Dokl. 'N SSSR 156 no. 2t444-1+47 Pbr 164. (141RA 17:7)
1. Kamchatskoye otdaleniye Tikhookennskogo
nauchno-AS310(iOVatS1'SICOgO
inatituta rybnogo khozyaystva i okeanografii. Predstavleno
akademIkom Ye.N.Pavlovskim.
BIRMAN, I. B.
Some data cn the studY of local schools and strains
of the Kam--
chatka chum salman. Vop. geog. Kamch. no. 2282-87
164
(MIRA 19:1)
.AV
Raw, I.M.
Conference on "UtiliBation of oxygen Systems.*
Prom. anarg.
18 no.12:51-52 D 163. (MIRA 17:1)
SOKOWT, P.M., B.M., prof., doktor skou.noukb oty.red.;
LNTIN, G.Iop kando
skon.nauk, red.; TAYNSEEM, B.S., red.; BIRM, I.Ya., r*d.
Ey"blems in the economic effectiveness of capital
investments
and of now technique@ In building] Toprony
okonomictieskoi affek-
tinosti kapitallnykh vloshenii I novol takhniki v
stroitelletva.
Moskva, Goe.iod-va lit-ry po stroit.. arkhit. I
stroit.matatialan,
1959. 252 p.- (MIRA 12:5)
1. Akadealya stroitelistv'a i arkhitektmLr7. Inatitut
skonomikl
stroitelletva.
(Construction industry-Finanoo)
AGANBETAN, Abel Gazoviob; BEIM, Viktor Danilovich;
.!Akmamlah; K&RAMAIlp Armen Kbachaturovich;
RIMASHEVSWAI
Wataliya Mikbaylww; TRITIYAKOVA, AlIbin
Feoktistovna,-, KONIKOV,
L.A., red.; PONCHAREVA, A.A., tekhn, red*
[Using mathematics and electronic machines in
planningl Primenenie
matenatiki i elektronnoi tekhniki v planirovanii.
Moskvap lod-vo
ekon. 1#~, 1961. 290 p. (MM 14 2 11)
(Rassia-Economic licy) (Economics., Mathematical)
rElectronic analog computers)
B~MMU I
kand. ekon. nauk, starshiy nauchnyy sotr.;
KONIK(YV,, L.A., red.; PONOMAREVA, A.A., tekhn, red,
[The transportation problem in linear programming)
Transport-
naia zadacha lineinogo programmirovaniia, Moskva,
Skonomizdat.,
1962. 270 P. (MIRA 15,6)
1. Institut ekonomW Akademii stroitel'stva i
arkhitektury SSSR
(for Birman).
(Linear programing) (Transportation)
AGANBEGUN, A.G.; BELKIN, V.D.1 BIRM I I ;
KARAPETrAN, A.Kh.;
-RIMEMKAYA,, N.N.; Aor.
Production, distribution apd use of national income
in
the U.84S.R. Nauka i shi4n' 29 no.12:26-27 D 162.
(MM 16:3)
(Income)
CHERNYAVSKIY, VasiIiy Osipovich; BIRmkm, I.Yal.red.;
B&ZLOVA, YeX,
aladshiy' red.; PONOMARK&I-T.-A. 9 tekhms. red.
[Studies on the problems of economic efficiency]0cherki
po
voprosam ekonomicheakoi effektivnosti. Moskva,,
Uonomisdat,
1963. 137 P. (MIRA 16:3)
(Economics)
BIWAN I Ya red.; KWTS, L.Ye., red.j KONIKOV, L.A.,
red.;.
'-~! ~NSJINAYk-VMW,&j G.V.p mlad. red.; PONOMAMA,
A.A.,
tekhn. red.
[Mathematical methods and the problems of production
distribution) Matezaticheskie metody i problenW ra=e-
shcheniia proizvodetva, Moskva, Zkonomizdatp 1963o
347 p.
(MIRA 16:12)
(Bdustries, Location of)
(Economicep Mathematical)
BIIRMV4- Ivor' YakovIevichr GOKHMAN, Viktor
Isaakovich;
retsenzent; LURIYE, A.L., ret-.,enzent;
TNS~~i`01.7'1
Ye.P.., retsenzent; 1.1"RiAYEVSKAYA, G.V.~ red.
(~~ethodological instructions on the use of linear
Program-
ming in the determination of optimum networkq for
transport,
supply, and distribution in enterprise.8)
Natodicheskie uka-
zaniia po opredeleniiu optirallnykh skhem
perevozok, snab.
zheniia i razmeshcheniia predpriiatii s
poi:.oshchliu lineir.o-
go programirovaniia. Moskva., Ekonomika, 19b4. 117
p.
(1-11RA 18: 1)
1. Moscow. Nauchno-isoledovatellskiy institut
ekonomiki
stroitellstva.
SOV/124-58-11-12018
Translation from: Referativnyy zhurnal, Mekhanika, 1958, Nr 11,
p 12 (USSR)
AUTHOR: Birman K R.
TITLE: German Academy of Sciences in Berlin Celebrates Leonhard
Eule,-Is
Z50th Birthday (Prazdnovaniye 250-letiya so dnya rozhdeniya
Leonarda Eylera Germanskoy adademiyey nauk v Berline)
PERIODICAL: V sb.: Vopr. istorii yestestvozn. i tekhn. Nr 5.
Moscow, AN
I SSSR, 1957, pp 217-218
ABSTRACT: An account is given on the gala session of the
general assembly of
the German Academy of Sciences and on the International
Mathematical
Conference held in commemoration of the 250th birthday of
Leonhard
Euler. The themes of the papers read at the conference are
enumerated.
N. T. Pashchenko
Card 1/1
BIRMOV K.R. , ~
Unpublished letter by N.I. Lobacbevskii to the Berlin
Academy
of Sciences. Ist. mat. isal. no.l4t623-625 161. (MMA
16:10)
(Lobachevskii, Nikolai Ivanovich, 1793-1856)
-.0
--ADW-L-L G.. inshe
Remodeling al" ~Vports of chain grates In TS-35
boilers*
lCnerget*8 uo.5W Py 160* (KM 1328)
(Boilers)
XHCIROSM, VA., lush.;. BIRKAN, L.G., inxh.
Oontinuous supply of phosphate solution into a
steam
pipeline system. Inergetik 8 no. 12s15 D 160. (MMA
13:12)
(Oteam)
FEI HOKO A.G., inzh.; GANSHINP L.G., in7th.; kDJWp_L-G-p
inzhl
&perience gained in the operation of the leading model of
the
BKZ-100 GH boiler. :Elek. sta. 34 no.8:4-7 Ag 163o (MIRA
16:32)
4
1--l"''''" : 'I.
SILICH31SIO. Ye.l.; WARZ V, V.I.; OROCHKO, D.I.;
VAVUL, A.Ya.; ROBO-
7MVA, Ye.T.; BIRW. M.I.; SFAVOLINA, N.Y.; MASIFA.
M.P.; GON-
CHAROVA, N.V.
In memory of Narita Sergeev" Sadsilovskaia. Trudy
VNIGI no.6-.
146-158 154. (MLRA 7:11)
(Sudzilovskaia, Narita Sergeevna, 1904-1953)
-BIRMAY, M. N.
Opyt skorostnogo stroltel'stva radiotsentra ISochinskogo).
_FFa-perience of rapid installa-
tion of the Sochi radio broadcasting centerj. (vestnik eviazi.
Blektrosviazt. 1947.
no. 5, P. 14-15).
DLC: TK4.V45
SO: Soviet Transportation and Communications, & Bibliography,
Library of Congress,
Reference Department, Washington, 1952, Unclassified-,
B nw"' I,% X.
may
Station Construction
'Uperience in High-speed Construction of a
Radio-center, 11 k N Birman, 2 pp
"Vestnik Voyazi" Vol 7, No 86
Construction details and photos of equipment
1T12
USM/MathenLatics - Approximations Kay/Jun
5 0
"Certg-in Evaluations for the Method of
Steepest
~04 Descent," M. Sh. Birman
"Uspekh Matemat Hauk" Vol V., 110 3 (37),
PP 152-155
Birman improves certain evaluations as
obtained
by L. V, Kantoravich for generalized
method of
steepest descent propcsed by him ("Dok Ak
Nauk
SM" Vol LVI, No '4,, 1947, P 233; "Uspekki
Mate-
mat Nauk" Vol III, No 6,, 1948, p 89).
Method con-
sists in construction of sequence (xn) in
which
163T26
IME/Mathematics Approximations May/.Tun 50~
(Contd)
eleme=t xO is arbitrary but succeeding
elements
owe determined by a :ertain iteration
formula,
iihich leads to system of linear equations.
A
M.SH.
"A Variant of the Method of Successive~~Approxi*~ions"
Vest Leningrad U, Ser Mat, Fiz i Khim; no. 9, pp 69-75, Sep 1952
An application of a variant of the method of successive
approximations to linear
functional egs Ax-f=O in a Hilbertspace. Article is a digest of
authoxi diploma
workdefended $950 in Leni W ad State U imeni Zhdanov, partially
representing
a
a generalization of solution of Ax-f=O (Uch Zap Leningrad
Pedagog Inst imeni A.I.
Gertsena, vol. 64, 1948).
~X, Sh. Birdai;--Leningrad
Definite Operatorse
Xining Inst
DAN SSSR) Vol 91P Role, pp 189-191
States that the principal results in the theory of
semi-bounded self-conjugate extensions of a sym-
,metrical positive-definite operator belong to M. G.
Kreyn - 26(62):3, 43 (1947)). Closely
(Matem Sbor
276TTo
comected.vith this theory are the results of M. I.
Vishik (Trudy Moskow Wtem&t Ob-va [Works of the
Moscow Math Soc], 1 (1952)), who has studied the
more general problem of the "resolvable" extensions,
especially self-conjugate, of an arbitrary operator
possessing a bounded inverse. Supplements here sore
of the results of these two. Presented by Academi,
cian V. I. Smirnow 6 MY 53.
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MR/ Mathentics
Card 1 1/1
Autbors Birman, H& Sho
Title On the spectrum of singular boundary problems for elliptical
differential
equations
Perlcdlcsa Dokl- AN SWR.. 97p yd. 1., 5 - 7., July 19%
Abstract A theorem is formulated according to which a set of
cond"-.sation points
of an operatorls spectrum is not dependent upon the form of the
surface
and boundary conditions. Proof of the theorem, based on a lemma, is
giveN and three theorems, related to the spectrum of singular
boundary
problems for elliptical operators are deducted from the basic
equation.
14 USSR references (1934-1954) and one German reference (1934).
Institution The Leningrad Mining Institute
Presented by Academician,, V. X. Smirnov, April 1954
... ~ I ' ~- . .
, -1 , ~, ~ , I , * -
, - - "; ~'.
- - , ,- z~, , -*a ~e,
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_i; ". -C, -zti , ,
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n~- - -- -z 5~ - t~ ...:
" , , ''-
I I
SIMM, M.Sh.
Method of quadratic forms In problems
associated with derivatives of higher
Inglish]. Vest.IOU 12 no-13*42 '57.
with a small parameter
order [with summary In
(MIRA 10:11)
(Calculus of operations)
BIRKAS K 8
Properties of elliptic differential operators vith a
mazinam determi
nation domain (with mumry in Bqgllsb]. Test. WU
no,19:177-183 '57.
(Operators (Mathematics)) (KIU lItl)
AUTHORS; Bakelfm#n, I.Ta,,jirzq.WmM qh.,and SOV/42-13-5-11/15
Ladyzhehskaya, O.A.
TITLEs Solomon Grigorlyevich Mikhlin (on the Occasion of his
50th
Birthday) (Solomon Grigortyevich Mikhlin (K pyatidesyati letiyu
so dnya rozhdaniya))
PERIODICALt.Uspekhi matematicheskikh nauk, 1958, Vol 13, Nr
5,Pp 215-222 (USSR)
ABSTRACT: This is a short biography and a summary of the
scientific
activity of S.,G. Mikhlin with a list of his publications
(1932-1~57) containing 78 papers. There is a photo of Mikhlin.
Card 1/1
SKIRNOV, Vladimir Ivanoviche akedemiki Prinimali
uchastiye: LADYZMSEATA,
O.A., profes- BIRW K-ras- AXILOV, G.P., red.;
FOLISKATA, R.G.,
-
tekhn.red.
[Course In higher nathematicol Knre vysshei
matematiki. Koskva,
Goa.ixd-vo fixiko-mtem.lit-ry. Vol,5, 1959. 653 P.
(MIRA 12:10)
(mathematics)
16(l)
AUTHOR:
Birman,M.Sh. SOV/20-125-3-1/63
TITLEs
Perturbations of Quadratic Forms and the Spectrum of
Singular
Boundary Value Problems (Vozmushoheniya
kvadratichnykh form i
spektr singulyarnykh granichnykh
zadach)
PERIODICAL:
Doklady Akademii nauk 3SSRp1959,V0l
125,Nr 3,PP 471-474(USSR)
ABSTRA.CT:
Lemma : Let A[u,ul ,
C[u,u] be closed. positive-de-finite
quadratic forms in the
Hilbert space R with domains D[A]
D[C] ; A and U are assumed
to be the generated self-adjoint
operators. Let be D(AJ -
DECI ; the form B[u,ul - C[u,u] -
- A(u,ul is assumed to
possess on,D[A) a majoring form,,_1
Bl[u,ul >, JBru,u11 ,
where the compactness of the set A F
in the Bi-mdtric is
assumed to follow from the boundedness.of
a set F in H .
Then A- C is completely continuous from H
in D[A) so that
the condensation spectra ofY and r are
identical.
Several
applications of the lemma are given; e.g.: the con-
densAtion spectra of the Schrddinger operators - Au +P
k(x)u
Pk (x) k - 1.2 are identical, if IP2(x)- P
W1 pi (X)->0
Card 1/ 3
i
Perturbations of quadratic Forms and the Spectrum
SOV/20-125-3-1/63
of Singular Boundary Value Problems
holds for lxl->oo -
The author gives two further lemmata and as their application
the following theorems t 1. In order that the negative spec-
trum of the Schr6dinger operator M , Mu - - h Au - PWU ,
j(x)> 0 , h >0 in L 2 (Em) be discreet(or continuous) for all
h >.O it is necessary and sufficient that each set of functions
which is bounded in the metric.of the integral
(IV ul 2 +,U,2 )dx (or f Vu 12 dx)
m m
is compact in the metric of the integral
S Pjuj2 dx
m
2. In order that the continuous spectrum of the operator
I V 1y -1 )n hy (2n) - p(x)y , p(x)> 0 be identical.for all
Card 2/3 h>O wi;h([O,oD) . it is necessary and sufficient that
2
Perturbations of Quadratio Forms and the Spectrum
SOV/20-125-3-1/63
of Singular Boundary Value Problems
ASSOCIATION:
PRESENTED:
SUBMITTEDt
pdx --,0 holds for x -i-w . In order that the negative
x
spectrum of I be continuous for all h>0 , it is necessary
OD
and sufficierLt that x 2n-1 S p(x)dx->O holds for x ->oD
x
The author mentions I.M. Glazmanj B.S. Pavlov.
There are 11 references, 8 of which are Soviet, and 3
American.
Leningradskiy gosudaretvennyy universitet imeni A.A.Zhdanova
(Leningrad State University imeni A.A. Zhdanov)
December 15, 1958, by V.I. Smirnovy Academician
December 10, 1958
Card 3/3
-44~~ 66716
AUTHOR-. Birma)n, A1*Sh. SOV/20-129-2-1/66
TITLEs on the Spectrum of the Schr6dinger and Dirac Operators
PERIODICALs Doklady Akademii nauk SSSR,1959,Vol 129,Nr 2,pp
239-241(USSR)
ABSTRACTs Consider Mu- - 4u+p(x)u with continuous p(x) in Em. P(X) is
called a K-potential, if ip(x)ldx, extended over an arbi-
trary hypercube of fixed vilume, tends to zero under removal
of the cube from the origin. If, however,_ it is p(x)-P(Ixl)
00
and rj jp(r)jdr-3~0 for r--;-,oD then P(x) is called an R-
I
potential.
Theorem 1: If the X-potential p(x) is bounded, then the con-
densation spectrum of X is identical with [0,00). if P(X) 2 the dim b(Lo 4~) or its defeat number becomes infini-
te.
...,,...ASSOCIATION: LeningrAdskiy gosudars.ty.eniiyy.universitet im. A.A.
Zhdanova (Leningiad.: State Universi -tyI'im. A.A. Zhdanov)
SUBMITTED: October 2t 1961
BMIAN, M.Sh.
Perturbations of the continuous spectrum of a singular
elliptic
onerator due to changes in the boundary or in boundary
conditions,
Vest. LGU 17 no.l-.22-55 162. (14IRA 1-5:1)
(Boundary value problems) (operators (mathematics))
3/02 62/143/003/001/029
BI 12YBI 02
AUTHM Birman, M.--Sh.
TITLE: Conditions of the existence of wave operators
PERIODICAL: Akademiya nau~'SSSR. Doklady# v. 143, no,'39 1962t 506-509
TEXT: The author considers two selfadjoint operators A and A in a
1 2
Hilbert space -Xk are the subspaces of in which Ak operate absolutely
continu=sly- are the corresponding projection operators. It has been
Pk
proved by other authors that there are limiting operators
U+(A2tAl) lim exp(iA 2t) exp (-iA It)PJ#
t4 +,P
U (A19A lim exp(iA t)exp(-iA t)P
+ 2 t 1 2 2t
if (A2 A,) is a kernel operator* In this paper, it is demonstrated
that
Card V2
3/020/62/143/003/001/029
Conditions of the existence of wave ... B112/B102
there are limiting operators
U (Ak,Al) - U~ -1 -n n) (k 1),
+ _(Ak-jAl ~_(Ak tA-
if A and A are positively definite, if (A' - A, is completely
1 2 -n 2
continuous, and if (A - A_n) is a kernel operator. There are 7
2 1
references: 2 Soviet and 5 non-Soviet. The Engliah-language
references
aret M. Rosenblum, Pacif. J. Math., 2, no. 1 (1957), T. Kato, J.
Math.
Soc. Japany Ao. 2 (1957), T. Kato, Proo. Japan Acadol 31, no* 5
0957),
S. T. Kuroda, J. Math. Soc. Japan I, lit no 3 (1959), 11, 12y non 3
t
(1960). S. T. Kuroda, Nuovo Cim.t 12, no. 5 6959).
ASSOCIATIONs Leningradekiy govudarstvennyy universitet im. A. A.
Zhdanova
(Leningrad State University imeni A. A. Zhdanov)
PRESENTEDs November 13, 1961, by V. I. Smirnov, Academician
SUBMITTEDs November 10, 1961
Card 2/2
5/020/62/144/003/001/030
B112/B104
AUTHORSt Birman M Sh and Kreyn, M. G.
TITLE: Theory of wave and scattering operators
PMODICAL; Akademiya nauk SSSR. Doklady, v. 144, no. 3, 1962, 475-478
TEXT: T~e.-Qnncept of wave operator:sis applied to the case of a pair of
unitary operators. For unitary operators different from*kernel operatoiraq
the existence of such wave operators is established. Carrying out a
Cayley transformation, the authors obtain wave operators for a pair of
selfadjoint operators under an unambiguous condition concerning the kernel
difference of the resolvents. Using wave operators, a scattering operator
is set up in a well-known manner, which serves to generate an S-matrix
'(scattering matrix). Certain spectral properties of the scattering matrix
are investigated.
ASSCCIAtIONs Leningradskiy gosudarstvannyy universitet im. A. A. Z"hdanova
(Leningrad State University imeni A. A. Zbdanov).Odeaskiy
inzhenerno'stroitellny-v institut (Odessa Construction
Card 1/2
3/020/62/144/003/001/030
Theory of wave and ... B112/B104
EnGineering Institute)
PRESENTED; JanuarY 5, 1962, by V. I. Smirnov, Academician
SUBMITTED: December 27, 1961
Card 2/2
4/020/62/147/d05/003/032
P172[BI12
JTHOR:
At Birmant X. Sh.,
TITLE: A test, for the existence of wave.operatoke
PERIODICAL. Akademiya nauk 333R* Dpklady# Ys 147t no, 5t 1962t
1008-1009'
TECT: In a Hilbert space self-adjoint operAtors:H and H are given.
1 2
Pk ( k a 1p2) denotesthe projector of Hk onto an absolutely
continuous
subspace Kato, J. Math. Soc.:Japan, Y. no. 2, 1957)- U It U Z
~k (T.' 2
are unitary operators# Conditions are soughtJor'.1he existence of
strong
iim'iting values (wave operators)
"m *xP('H,.t) exP (-'Ekt)pk
n -n
W+ (Uk'%) lim viue Pe., r1 1$2)
Card 1/3
.9/020/62/147/005/003/032
A test for the existence of
B172/B112
The'concept of the admissiblet.function 'ty(x) is'definede A denotes the
totality of a finiLe number,:oT pairwise disjunct intervals
(akb k) ak< bk::r-ak+1* k a 1,,.*1m1 of the real axis where al a -oo and
bm ft oo are not omitted. The function J(z) is regular in an open set
of the complex plane containing A and has real values for 4E besides
I(A) should be >0. The~intervals (Zk', rbk)t Ak 1(ak + O)l
'~k - T(bk - 0) are assumed to have no common pbinte, If ak -00 (bkW 00),
then the corresponding end point ak(bk) is singular. The function T(z)
is called admissible for operators H
IIIH21 if their spectra are contained
in the closed shall of A and if their eigenvalu*s are inconsistent with
singular and points. Furthermorep
Uk a OV I Uk - (~c-")(Hk+'I) Uk
k - 112 is written. Rencepthe following theorem is valid: If J(Z) is
admissible for NO 112 and if
Card 2/3
8/0?0/62/147/605/003/032
A test for the existence of B172/Bli2
+ +
H2
then the strong limiting values W+ (Rk s He 'W+ (ilk p136.) t exist
where
W
W (Hk'He) Wt(iklie) + 7k Us
is the class of the kernel operatorse.-
ASSOCIATION: Leningradskiy gosudarstYennyy.unfversitet im. A. As
Zhdanova
(Leningrad State University imeni A* A. Zhdanov)
'PRESENTED:. June 23, 1962t by Vo I. Smirnovp Academician
-SUBMITTED: June 20, 1962
BIMN) M.Sh,
Conditions for the existence of wave operators. Izv.
AN SSSR.
tar. mat. 27 no.Xs883-906 JI-Ag 163. (MIR& 1698)
(Operators (Mathematics))
ACCESSION NR: AP4025106 S/0020/64/155/003/0506/0508
;,AUTHORS: Birman, M. Sh.; Entinap S. B.
'TITLE:A stationary, approach into the abstract theory of dispersion
4SOURCE: AN SSSR. Doklady*l v., 155, nos 3, 1964o 506-508
ITOPIC TAGS: dispersion, dispersion theory, abstract dispersion
.,theory, Hilbert space, self conjugate operator, self adjoint
opera.
tor,, wave operator, finite dimensional perturbation
ABSTRACT: This paper gives a foundation for the so-called station-
ary sequence of dispersion theory within the framework of the
iabstract theory of operators. Convenient representations of wave
operators and operators of scattering through limiting values of
[resolvents are given in the assumptions concerning perturbation#
ione practical and convenient method for computing the S-matrix is
jalso given. A new purely "stationary" proof of the Rosenblum- Kato
theorem (M. Rosenblumy Pacife Journ. Math v 7 (1957), no. 1;
IT. Kato, Journ. Math, Soc, Japan vol. 9 119571, no. 2; Proce
n Acad.j vol 33 (1957), no. J) concerning the existence of wave
Loixerators is obtained at the same time. The methodological
advantage.
CWd_ 1/2_
ACCESSION NR: AP4025106
~of the method presented herein is the absence of a passage to the
:limit from finite-dimensional perturbations. This makes it pos-
sible to transfer the obtained results to a case of more generalized
perturbations, which makes them particularly applicable in a three-
quantum scattering problem., Author also notes that the
~relation
4W
Id (EjQ*p*ftfg)fdX1p_jd?-
Md. 9)
.-1s a "correct" notation for the well-known Lippman-Schwinger equa-
,tiono Origo art@ has: 7 qquations.
ASSOCIATION: Leningradskiy gosudarstvennyy* universitet, im. A. A.-
danova
h (Leningrad State University)
SUBMITTED: 29Nov63
DATE ACQ; 17Apr64 ENCL: 00
SUB CODE: M NR MW SOV: 008 cnn: oo6
~Card~ 2/2
BIMN, M.Sh.
-- 1~--
Neal sign of the mdatence of ways operators. DAL AN
SWR
159 no.5485-4ft N 164 (MMA 18d)
Is Laningradskiy go*uA&rotvwnyy unimmitat ims A.Av
Zhdanova.
Predstayleno akademikou Vol* Saimov7wo
1.
ACC N, AP6018490
SOURCE CODEI lililOO2016511-6.1~'1006112231.122'0
AUTHORs; Dirman M, ze
M. 5h.
OW i Lan d State UniversLq imo A*Aa Zhdanoy(Leningradskiy
gosudarmlvamyy univ
e~
sitet)
TITIEs Stielt-jes double operator Integrals
SOURCEt AN BSBR* Dokladys ve 165# no* 6p 3965p 1223-1226
TOPIC TAGSt. Hilbert space., porturbationgimathematics operatorg
complex function
ABSTRACTs: The article Investigates,?P!rators in a Hilb s ce
~.,given by integrals
of the forms Q cp (%, 1%) MILT dEx ~6
rhere FA, .E x aa!6 any two orthogonal unit -tex nsi6ns;' T is a
bounded
ct:r rM
is a complex Am on Integrals of fon
loperat
or in ,k
apparently first appeared in the 1-joez of Yu. L. Wetskiy and S. G.
Kr*,n
e&tjow of analytic perturbation theory. The
in connection with certain V1
-L
purpose of the present article is a systematic study of the
properties 0"
(A, /t and the
operator Q in relationship to the behavior of function T
qroperties of -oj5eriD~tor T. The---suthors elucidate the question
of the sen3e
in which integrals (1) ought to be -,indiwittocd, and establiah
interrelation-
ships between various possible.definitions of the-integral.-This
paper was pre-
sented by Acadelcian V. I. &drnov on 3 Ma63.965-,' Orig, art* hass 6
formulas. /JMS
SUB COMI .12 SUBM DATEt 09AFr65 7 0 a REFt 016
Card 2A * (Ijt) TIM .07..397-12-5-13,88-2,617,21Ae,32!