SCIENTIFIC ABSTRACT KOLMEROVA, C. - KOLMOGOROV, A.N.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000823910002-6
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 18, 2001
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

'
5~5
~
ION NR: AP5019226
ACGE
.S

han,-sm is stmxested accorrding't& which NaCI, which initially isadielect-ric-,
wave front into a 3eMi,,aducting s'ate wi'h donor le,,els.
"Me concentration of the donors generated by. the shock wave froL. du-.Ing plastic
0-3
in the condlictior. band are generated asa
Free caxriei-
reaches 3
-
_
.
r-skdt of thermal excitation of ejectmns from the donor ie~mis. Orig. art. rias-
13- rormtaas aad-, -3~~rl

ASSO~"IATIGIN: none
-M

-S
a

v
Cr1rd 2/2

REM
.-
-14 oml k~,

KOLNEROVA,Czaslawa; MIZZ'Xioczyglaw
Cathode follower and Ito use In physiology. Acta physiol. polon. 11
no.21341-344 Mr-AP 160.
1, Z Zakladm Slektroulki Prseowslowej Politsobiniki 61"klej v
Gl1w1cach, X14rovulk: prof. dr Ins. T. SeSajewski; I a Zakladm
Fisjologil Slasklej A. N. v Zabrsu-Rokitnicy. p.o. Klerown":
dr K. Mmusee
(XMTROPHYSIOJWI equip. & suppl.)

KOLKEROWA.7 C. WA90WICZ, B.
Electric-resistance strain gauges. p. 6*
MUM. AUTOHAVM, Y-OTROIA. (Naczelna Organizacja Techniczna)
Wars%ava, Poland. Vol. 5, no. 1. January 1959
Monthly list of East European Accession (EFAI) LCI Vol. 81 noel , July 1959
Uncl,

IDUMBOTO mahinist skshavator46
Work wIthoat Idling, Mot.ugl*5 nco4:12-13 Ap 156. (KM 9:7)
Orusnotak B"In-Strip mftlag)

AY.
Ver'ber'Nonvergenz Von Reihon, Ll'ren Glieder durch don Zufall '-)estimmt
(19 0-
werden. Matem. sb.t 32 25 668-' ,7.
So: Vathematics in the USSRs 1917-1947
edited by Kurosh, A. G.
IS.'arkushevich, A. 1.
Rashavskiyv P. K.
EMscorv-Lenin.grad, 1948

IXI01 7--tw-I
OZ I I Ids a I a 91411QUu1st6lim u a 3"4:a A'v ii 21 m ]I u a p a if u x
A 1 1-2 I_ A_ L

:0
00't Aftl4akda"JI Mm a
0 0 U. &"kftWft~00' 't. scl~. 4. t-pr.- Im
0 Fie Gammon raWm. whvd is this. cakulation of the VOW& am
: (m "W'VISM. cds~~ in twit =the pmjoctim of the path of it Wte

0 pirtkisit mdargig DKIIIIII11M H. A.

a 44 a t3 61 a
~00
00
goo
COO
me
see
now
ae*
%4W&j Ir 4- 041 vitill 3W all all
t2 I
I A
A I I a ow 0 1 Ili Is Ia a 3 1
PrIvIltrorm Ono[,* Ran list
16;09 0 000060400000*00000
0000:6:000000000000*
OT44 o~000000000000*::ol::04io0ooefoooese'soosoo:

-IVLA-. N.
tilim n -n !ntur. 111ptem. SB., 32 (1025', 6L6-667.
0 printsi:.Oe tert
Zur detibing der 'Intuitionistischan loFik, MAII, Z-0 `5 (1932), 58-65-
Tooriya i nr3ktikn v intem-itike. Front nauki i tekhniki, 5 (10,36), 39-12-
Sovremennav AemUka. SB.. Stntey po ~il. 11-item, M., Uchpedgiz (1936),
7-13.
Ylyuton i sov-mmennoye metwaticheskoye myshleniye. V Ivi. ",-,ovkwskly ivAversl-
L un-ta (1a46( 47-52.
,et-paiW~ati Taaaka Wy-utona". M., !zd. 5
Roll russkoy nauki v razvitii teorii veroyatnostey. It, uchen, zap, un-ta, 911. (1947),
47-52.
Zur topologisch-gruppentheogetischan begrundung der geometrie. Gott. Nachr., 2 (1930),
208-210.
Zur begrundung der projektiven geometrie. Ann of math, 33 (1932), 275-276.
L.ur normirbarkeii eines allegneinen.topologischen linearen raunies. Studia math, 5
(1935), 29-33.
Uber die dualitat im anfbau der kombinatorischen topologie. Matem, SB, 1 (43)s (1936)t 97-
102.
Les groups de betti des espaces localement bicampacts. C.Ri Acd. Sci., 202 (1936)3
1144-1147.
Proprietes des groups do betti desespaces localement bicompacts. C.H. Acad. Sci, 202
(1936), 1325-1327.
Les groupas de betti des aspacbe metriques. C.R. Acad. Sci, 202 (1936), 1558-1560.
Cycles relatifs. Theorame de dualite de M.'Alexander. C.H. Acad. Sai., 202 (1936),
1641-1643.
Uber offene abbildungen. Ann.of Math., 38 (1937), 36-38.
Une serie do fourier-lebesque divergente presque partout. Fnnd. Math., 4 '(1923),
324-326.
.(CONTIum)

KOLHOGOROV, A. N.
SUr 11ordre de grandew des coefficients do la aerie de fourier-lebasque. Bull.
Acad..Polonaise (A), (1923), 83-CA.
La definition axiomatique llintegrale. C.R. Acad. S-.J. 180 (1925), 110-111-
Sur la possibilite de la sonmation des series divergentes. C.R. Acad. Sci. 180 (1925),
362-364.
Sur '1a fonctions hamoniques conjuguees at lea series de fourier. Fund. Math, 7
(1925), 23-28.
-Sur une aerie de fourier-lebesque divergente partout. C.R. Acad. Sti. 183.(1926), 1327-
1329.
Untersuchungen uber integralbegriff. Math. Ann. 103 (1930), 654-696.
Sur la, convergence des series des fonctions orthogonales. Math. Z., 26 (1927),
.432-441.
Sur la convergence des series do fourier. S.R. Acad. Sci. 178 (1924)o 303-306.
Sur la convergence des series i&a fourier. ATTI Accad. Naz. Lincei, 3 (1926), 307-310.
4uelques remarques sur l1approximation des fonctions continues Matem. SB, 41 (1934),
99-103.
Uber die beste annalerung von funktionen einer gegebenen funktionenk-lasse.
Ann. of Math., 37 (1936), 107-110.
0 neravenstvakh mezhu verkhnimi grarqami posledovatellriykh proizvodrtykh proizvollnoy
funktsii na beskonechnom intervale. M, uchen, zap, un-ta, 30 (1939), 3-16.
Ein vereiri~achtes beweis des Birkhoff-Mintachinachen ergodensatzes. Matem, 3B.,
Z 367-368.
CONTINUED:

A. N.
Lfber kompaktheit der funktionemengen bei der konvergenz im mittel. Gott nachr. (19.31)
60-63.
Zur normierbarkeit eines allgeme-Ines, topologischen linearen raumes. Studia IlaVI.P
5 (1934),, 29-33.
SO: Mathematics in the UMM, 1917-ol947
edited by Kurosh, A. G.
Harkushevich, A. I.,
Rashavskiy, P. K.
Moscow-Leningrad, 1948

wil (con I t)
(1930), 415-45F, (Yest' rusi-:kiy perevod. Sri. 327)
Sulla forim, gancrale di ur, processo stocastico o.-~oE--:eneo. Atti lccald. naz. lincei,
15 (1931), 805-~T8-
Ancora silla form generl-le di un procosso stoeistico arrc.r-eneo. Atti ;'Lccad. naz.
lincei, 15 (1931), 866-869.
Zur theorie der stetigen zu.'Lalligen pro---esse. Y,ath. 10,8 lj~a/-160.
&ir thaorie der rarloffseheri an. Lath. 112 (1935", 155- 'G.
Osnavnvye ponyatiya teorli veroyatnostey. Ont 1 (1936), 1-P0.
.K. statisticlieskoy teoril la-istal.lizatsil metallov. Ian, ser. matem. (1`237). 355-360.
Tse,)i rarkova sc schetnyr. chislom. vommozImykh sostoyaniy. E., Byull. uu-ta (A), 1:3
(1937), 1-16
Ob analitichasIcUrh metodalch v teorii vcro:~atnostcy. UsepM mllltom, naul~j 5 (1938),
5-41- (Perevod (10)).
Zur topoloaisch-Crunpentheoreti-schen berm-,dur-C, der f, r N' hr
eomtric. Gott. ac 2(1930)
208-a0.
Zur lbavre-n6mg der projelldiv~zri goometrie. .1m. of '.---atll, 33 (1932), 175-176'..

KOIFOGOROV, A. N,
Krivyye v gillbentovskom prostranstve, invariantnyye po otnosheniyu k odnoparametri-
cheskoy gruppe dvizheniy. Dan, 26 (194o),, 6-9.
Spiral' )Inera i nekotoryye drugiye interearWye krivyye-v gill bertovskom prostranstvei::---
Dan, 26-(1940). 115-118.
Statsionarnyye posledovatellnost i v gillbertovom prostranstve. M., ByUl un-ta (A),
2:6 (1941).
Sur la loi des grands nombres. C.R. Aced. Scl., 135 (1927), 919-921.
Ueber die swmen durch den zu fall bestimmter mabhangiger grossen. Math. Aim., 99
(1928), 309-319.
Ueber das gesetz des iterierten logarithmus. Math. Ann., lol (1929), 126-135.
Bemerkungen zu meiner arbeit. Ueber die summen zu falliger grossen. Math. Ann. 102,,
(1929), 484-488.
Sur la loi forte des grands nombres. S. R. Acad. Set., 191 (1930)9 910-912.
Sur la notion de I& moyenne. Atti. Accad. naz. lincei 12 (1930). 388-391.
Ueber die analytischen methoden in der waWrscheinlichkaitsrechnung. 14ath. Ann.; 104

Flatematika. ESE, T. 38 (1938)p 359-401.
Lobachevskiy i matematich"skoye myshleniye XIX veka V ~m. 141kolay Ivanovich lobachev-
skiy. M.-L., GTTI (1943), 87-100.
Nlyuton i sovremennoye matematicheskoye myshleniye. V SB. Mlockovskiy Universitet -
pamyati nlyutona.- M., Izd. un-ta (3.946), 27-42.
Roll russkoy nauki v razvitii teorii veroyatnostey. M., Uchen. zap un-ta, 91 (1947),
53-64.
SO; Mathematics in the USSR, 1917-1947
Edited bf Kuroah, jk.G.,
Markusevich, A.I.,
Rashevskiy, P.K.
Moscow-Leningrad, 1948

KOLMOC;rovt A" N.
"ihe Local Structure of Turbulence in an Incompressible Viscou3._4quidq"%
Dokl2& AN USSR, Val XXXO no 40 1941.

0 # fee

A -to to U-N 1, )v m u a id a ft u- a * if 44 a 46, 41
I to ti it u w
4
L
1L
Am4
-
.
of L -
__
__
_
lop 4" 1
m
t
ut
..R in ~L
s_ -
Of .Go

00 9
00
Of -00
00
00

0 a
00 xb~

0 doe
Aw

: AA
0 ,444

oo
w
LOINAIM CLASWKAIM
Jim
amw off I low so"InT
ualic"t avc a.. M
'
0o
F
IT Po 11 . a-~ ~.t,
0 04090400000964,941 . . . N
t
N ~ on I 1 4 cw 0
I 0t v
W.M....
41000, **fees 00 0

MIMI
MOM
Z_ 1:
7

-0 NaW -4 ~Wqwrowalp
iet qC% 19
t
_
Ik
"W4 o
I
11(lear L hpannt-d by thv x, Denoting scitLar P"l-
wa-sve tkir the- cmdir~an:C4Cj-MiniMUMtEM__

_1 Oft 11131 "4 , hNnnA
is till- (-rt
jCCtI-(3tt7T tier

ft.
on-A.(
that
C roll lts -derived from a. jpIcs and
` l
lit- fliv nornind (IjUltions for the aj and have a sOIU-
~rive thi ir main results by a cumbemme seL of c;Ll(:u Lyn ~ia, V. d"LL-rilu"'In I
6-n; ffgeeb r-a-
- -,%r
-Lie paper is written'ta ShO w
11OW this _c-_-qpdition~ Can be
alic! tv IF~
h it) wri C,
I hal. 11" _!i, of A are -Indom variables
methrxk are ill IsLrate(I is fnljc,,,,, I
M I OBI ISMI 1; 111, .111pi-miriale Mcarl vaiwe Qp~!r4Lwrl,
conaants. We MiLke LY experimental niler-
wd Sim!-
:, 1~ .
M'i ill-!, 1!",- a
:he 1 and r'8. thus -etf rmininp a St-, (if n --I .
, !
w Ivr:~vs Ait =,raruj AIL"l-kx-nW.
in LuJidean N-s cc, T.1j,
_pa_ COMM 'I, ej"
'
- fmq. km
The 11-distribution Ind dem
-
-
-

r= I. ff;_tn. We
5appme that chly
rank of tile ma ",'x IiNtits and o(
oi con riden
7
c
:n, -to
.
_a~ _ C;qUati,, E;.tftg~ Cannoi: ill
the qignificaticc of Ehe dispersion matrix qq,
vcneral k
r
satt, ted; w! seek. thcref"C. the lawt rpa-,Ori - Va.)
A I Prown (Alex,ind-ia
,
V
_0 No .

-
-l"
401*609640404 o 0410 food
9096099

l,
49
te
MAUI -
-
-00
~4

00 SUJO A.;
.
I
.- 1:1
i

go a
ova 0

00,e
1 .040,
it-so

of
40 *

FF Ite'starbi tole r

See
M6T&LL~AL UUUTW4 CL"WICATON

----
1.40*0 CW
INN ll"Lmo got.

ad a 11 0it a11a 0 9
dig 0 410 0 0;06 000 00 ~40 S 0 0,0 9 0 lie OL Illfee 0 : 4):: v 00 0* If. 0 el o
0 ** 0 0 ~*g * 0 We ~ 0'*-*.* " * * # We # 0) 0 0a so's &

KoIniogoraff, A. and Drilfriev, N. A. Branching vo-
c astic rocesaes. I if Jo:
t~ a
a ~Inwit' T
wun
W
: D
bead ot nai
affjALTid i~
ri mtor who
a "d- ~ Ai~ kth component
is the number of ohiects of type k at time t~ the a process is
then a Markov process and the qrzindir-! !ilf~ry nf
methfxls itdapteA to this special cise. Wtien n = 1, riw
pnxetis t~ecuriles tile bir-h xrx-c--i s t u,];(, ;n.wv --zi;
e pit. R. A~
-66.tvan -a I
netvm&4 i mWdis,,ribtmon, and
sh,~w how simply thc. differential Nuation can be
i1nd tile Eransition probanuities ot asiniple birth process
rfo stochai~t~j?i San
-0
n
la

.1.)t1uoL-,orav, A, N., end Savor, The Wcu- ne contient wirim nmmgmu~v -IyAnt i .1
Cyanov, 13. A.
7~~~bahilifipq
1 i ,, z' i&ur d*un groupe tinal tw tra
Y1 r bran -hink randc m pr,,
Iimu-TT-auk formacon., rnnv;r~!rn, u n ~j
-des
taw iukofrf~_ %WKtg~
~nratribid"
A
-A Ict
Vpm
4
PM tit
'p"
ttuxtv pnerafrtc~7 )~ -, - on
n' xj~ Wappartenant p a, des ~r"Ipeq HaFs' u
qi)_ S1 .t
r)=A(r). es[A(5614~ par ft.eu de. T~, un 6c.-ira ~P_ nu licii de qp~ Ot ~li lieu de fi.:
x) 'I h6orNnc Les relatimi.5
-- =
mint fauL uu Lypefw4if dout
L
i,,q f7t-!r~-, derneurent inva~rialfes, que fl(%
-,I' ~'~s Part;
ICIV(i 111~::
p.~xlwie que deg pkimiul-q du 1,;
".-deurs dt-s '0. pour 1'~- I
Oulawm te "tenle "w imWn"T"mable ctudj6 en detail, -orTj-
dit Ea_-Ll i: '_0
c-L mcnt !e c.-1:-! di,, 11.cf ctu -as discret,
dc ses oat-6,111" previ-ait une r,"! N, ~i 'Y',,i k. N
Sc
75
- C.1w

ilk,
kn ~j*a~j' xii ;)P)!.
S2 U 4
.?Purl U
c.11
aj
(ito
143
V =Mp 1,41111n
". va 'i~ I " '-I .I 'ii
"141stl'
0-4 ii
rur
11?ur ;4U!1
ptml-lp 441 116~ZIA k -I is! E4 J,
=
I. r;ln~
-15 :~~;Aj-jq P#3
U9 P1
kv *A)!fvqUA" b6 vC1 ~kl Sol t;uco!
VWP
P!
Uzi
41A Jul
~ V-1
I i rp,
1*0 2 4f
17*00 -1 f Mir ;16
~j Unj n4paa-. tjo
Mila ;0 Aap
ultra tour-
Jr.
vFm.'1 41-~.' 4.71, Oslo A- 1 '3

mph' I
u xi V, r, 13 If
141111 -j DI 3V Jil. 14u.) 1-~j
19
01.10.1 u," Q-1 I uds:
juj &lIpp; ai
3o a%vap Z) )q
~.-b qu o 'WIN f jx1t I:adc
-oli 1'.0 :11~! pe iuo"j
11 nal 901C q uigq9IJjj
4q
px
1,1% :IAN; .!,r.
10 a
21
4; -)s I APLIO. J~A III J~jcl vq...
.0
I v I ILI; 1Q1 Ul 1110111%1I
I
t If t 11ouq:) 'twiroq'i al;w I I ~laq;
It i LIC
I Ir
I ~-)qj V &III,ul-11.1
'-x ~ MI pwullil"Jil ,JIB T, )U;"
154 ir .14
put CT. I IIm,lljj(, quirlu I~' ,.I -
uc. x-11 ~o jp~~T I-
al u
D ?11~a-v, q'Pss tri 1.401. A

777.

7, ~7-1-

AR V'36 e
16 itiolE I
Y eK~- MULUnA lke~
fmt
-
-
-
:77.

ls;R -

let-
PjXl of
M
,
.
'T

i, 7;w
VA -MIMV -1 t. Z~ - :7 1 1 -
7URP
RAI)- 4374s[-

U
1.j

rjl
!~M
l ti 15, 1 11 ita):"
~

-
i
o I-so.
-wx

41
0
M~ ~j v!i
:,j
aj, k

d

T1 U

it,

l 14.
ILL

Mr. Pi~ L

p aorl M

it

D 'q,

21A
tp,

j
.

t~uo_ .1.11d ittl:)

Vln,.4 jjetlii;.~ j; j4IUo ij-,~
turn 1u;q)(1.) pu;
D'Id 1~ tjU
N\1 ;jAil. M
NOut
0, hold
1.
.11;)(1: ;o lJoIT'AM
.1 n d pb p.1

00
,
I .,; ; -, ~. T, ~

101
UO
XV9, ~11 Ipl." p41 ilp
Ii t' t;

I Is to (kq (TO11

I U I

put

)tpT
1xii t:
lit

nv! .1

VI V

T

01M
Fin I, 1~.

Ew
mi

0 Pill
10

i 41.a4g~g- 41" Lit Ln y ft
I

I
N-IN
N"
%
1 7%
x"11 IX
5
,

C11.1ptv, IX: LcAal lill'it theorel",

(A tile most
invaltvible comn-endillm
work the subicct. and is the more striking
t-m
rtam
i
i
,
m
-at System-ittit; and rig-GFOU8 -"M
Ld-
h
-- ----- --- ---

Sol
do P"
vwslld wa Iwo. do a
jAWArAd
IN Isar %-mk4 dm. to go
=. ow raindly v a I or
at raw
mks. dUft kW pw
growilk of an
T=*
b"u,
PK;Mva" tim tow.
to" Ow Poe* al
mm, a 3-dki"WiWAI
Tbo"Idarw"te.-
carempoJing
fty fimnion Im ibe
8) to a givets womb. - I
9"th.
'w- I:

Ira-

A. M The "Ititfor of a pmblem In the thmry

W1, -"fiim c I ~S iju qt i a n a 7a-

lp
~+6 - B?r t c:btro
6r tcwi6 F4. h
fit
,
V*
ini
nnd in
4;
~
.
,
"
1
,
-UCP
l
Al ~mm I
-
l
WV~ ~Iaal ~r;ait
-I)L~ lot
'Y~
MIIWN~m

t-h-lqui ouf~a-
e -0 it-of thii-iatc~ral Lqua
N
~~--Y)f tyx'~i

and that it can 6-- ,b~-aiucd t;-y
oe r"I"Vrino 11 A.-

e
Source'. mathemd-cal- Reviews-, - IG, go, 101 'li

Vi.
T, I
fin
_V7
1r4
Irv
suix .
sa;mq,
.1 (Art 1
1, 'ej wow
p p
ql
~j it,
It
X'~~,Ypvj 1% UIP-A Utj~ A(l
o, I st ~ V '()I
pu
,y.,
Os: Z V: -it
7
I ilie,
J~~Jj~q vg_ 11614? 10 A T3
Ac
Auto,
T
1-7
rv
.tT 1, Ra

f
.77
P!J!
N "ST
'U X~4 ju ijui~ mo, t
110 10. c t!
U, a, J,
via
P.
J'u jtoD D, I' jp:
0=1 (I) M-,
.1141
iM, P; ii U j ;fql
tt, U3 I
w n i u, I\,
k 'i
J -"a T,
It ttzi)44 ~~,.Oqrx i6d st
If
PA
t., 41
TA
I ~ 10 E-11 DRO jr,
'a koh
q
011 V 9 IW!-~*.-
ui
-tz"
,E
tj,

~4 7
imt. D ~Tumbulmt JF
''Acad, ,:r j:-
ftt! M --of -
dliArib
OF,
~Z; W wllk

Koji-,CGOROV, A.. N. (ACAD. PA 156T91

YAN A. N.-
--l*- mffj ASTI 0VA.,-B.-A.v--KOLVOGORGVJr
2. USSR (6m)
4, Science
7. Entroduction to theory of probabilities and-iia ics statistics. Per. a angl
A. S. Fionina i As As Petrov&. Pod Red. B. A. Seva-stlyanova. Arleyp N.; Bukhj K. R.
(Authors) Fredial..A. N. Ko]lmogorova. Moskva. Izd. Inostr. Lit. 1951.
9. Monthly List of Russian Accessions, Library of Congress, January. .1953. Unclassified.

KOLY,OGOROV,, A.N.
gMgyenko B.V;, gs Kolmogorov, A.N. Viggetlen valo'sAnuse'gi viatoz6k
hatkraloszl 6 Limit distributions f6r sums of independent random variables."]
E
Akad6miai Kiad6.. Budapest,, 1951. 256 pp. 32.00 florints.
Translation of Gnedenko d K imo , PredelInye raspredeleniya dlya sum
simyh slu~ajnyh velian _o gorov
nezavi Sin -rd;a-teh12dat, Moscow-Jeningrad, 1949; these Rev. 12, 8393
The translation is by I. F161des.
SO: Mathematical Review Vol. 14, No. 3, March 1953, pp. 233-340.

IT
A-14'. pn the C A
-&etchti~ a med wh
j AltQ,%ur, glyrn by :1
J. Lably 44jit4ve mm-,, - ca
wy set, avolet (I be
11S
-31 1411 1 -ts element4'ry fe,L:5 1.A*t
- jact"'m dcArod f4r all 4t~S- 1et .... ..
toe subiamil ~c v
iti,41-e -xist* a cpunP
A C~ ua- let tb!6 t f "ti Am 4
0
Se
he jahmum beinj
.1 k 11. ILA t A C, LIA.. fno su.:h (i A t~
A + I-I. A" itxb=t;-'p of b'
.-akle U, for a1l Aea, t e equah
te
fn'
K
;'ates
-111tains The, apdw ij M~Ik
a
11L, and thii tri Surabili t y ia C I
c~ U. V., Lc,%. t to tlhiZl~ surabili
f i1mg
whell ld;t~ft"Oeo:t ntho
y th
t a. se;~, jo
cj~
oi (.-,-ich I r(O)
~n
on &~.
,n%triwti above I an
IM: I tjoi ib are ii~eaicro (1) rfi~
A la:-gest set wglit 40" 1 updel the
u;nons and in s-, (2) ."S c0
CA, thr.i $c
tabuvc ont;
d m(4) - m(A,
dit -L, 4
if ~~e f4jiowing t, TI
is aciountahic 8ub'' IV' J,
mw
couintable wu I ~uai
ncftl constru, -tion
m aome Omple ~-- M.
sem Fcr'~'em--1npjt-. let
~wl let I Z, X2 I-- a
T1
I e t ~d be Om fm~ily all Xts -J*~,):"
t
t. 1 a
101
t;ub--~,rt A (A' Ubesg1w m
lxalaj, it 1-o,thr~IX(g)-oarbj Al's rwl.,
J4.
It

A IN
.111\ on !he
h-iii i
tiL*-, -and
in
'V01 12, No. 2

M om

-77
waffall,15:4a ;14-A

r
n

;A

Mal
So uroo i Fathematical F4view-~ Vc'l NO,

im

KOLMOGOROV, A.11.
188T64

USSR/Matbi-matics Functionals Jul/Aug'.'51,'
"Works of I' M. Gel fand on tbe.Algebraic Problems*
of Functional Analysis," A. N. Kolmogor-ov
"Uspekh Matemat Wau3e' Vol Vt," No 4 (44), pp 184-186
Subject works -won a St&lia prize. Gellfanl s L, c.
ceeded in touching a basic and most fruitful line
of work on reconstructing all of functional analysis,
in the algebraic direction. Modern. mathematics uses
extensively the general geometric and algebraic metb-
Oda by considering, on the one hand, the most di.-
verse systems of objects (functions, lines, etc.) as
a certain geometric entity-- namely-J, space - and, on
'191TS2
1VUR/mathematics Functionals Jul/Aug 51
(Contd)
the other band, diverse systems of objects with the''
operations on them as algebraic for.ms -namely,
groups, rings, or flds. These_ represent 2 direc-
to follow in'mathe tics.
0
191T89

a%
imia/lathealatif.1i Stiatisticas Mtheo JU144-5-1-
matical
*Thw Works of N. V. Sm' nov on the Study of the
Properties of Variational Series and on the Non-
parametric Problem of Mathem ical Statistics,"
A.' 1. Kolmogorov, A. Y. Xhinchin
"Tispekh Matemat Nauk" Vol VI, lqo 4 (44), pp 190-
192
Unti.l recently in math statistics one vas limited
Qxmt exclusively to problem of detg the par&-
seters. FeT example, earlier it was assumed tboLt
distribution function F(x) possesses the
usual gaussian form and'the usual parameters.&
lqiT84
UIMIYAthematics, Statistics, Mathe- Jul/Aug 51
matica
1 0ontd)
CiMft) and sigma (spread) are evaluated from.the
~64eived quantities xl.,, X2., X.- Often such
is artificial in problems. -However,
Bhdrnov considered allpossible types of distri-
bu.tiou functiorz and terms.
19IT84
0
W I

F
A f
A
.

run-

7-7-77

%~ViOV

d6

A-0

'for
on

W:'-iwiZ'7m u
b"w, ;M. niv.
,-u6enye,
-
-
-(R
)
um
an
F-
hi I k "pi-Irithinfirditelymapy:-
T
auth considersl ar oy
or

tes-and
itifi6nary, transition ~'POONmtie~ to
'
-
-
-
' `
3.
~
:
1
jni
of-lrinsi
I ip
lkobabfh'"~
*Jfie
-
-
''
-
at
lint "'s Pigs) I;
vwwer shivri~
4imimid th
,.
'
-
hfa-tho'~ 52'~' (1,94
r
LTmns~l Ame
la
Oves
AT
,
,
Is -
q~ He-.,g-im';-
in im fud -All
g so- vaii,existo ,
te

LI
_
,
as" bomww-
--, - -
d", 4
qe
i
i M"-F'4e, thi beA-
-a sinile i9xi6'6f-i':E-*~vdW Ili "thi WtWffe-x
-
4:
"
tjow:f 46
tii
ton pubabifidee.
*ard diff 004 ~
i'
~
-
-
' 0
exam givef
iiaM.
am n0
lon
Swe ikh6 t6 thoologkd
ger
--Pa- Pke
'
`-
-
327--M1
by W, L (jyA8;
Sd "
N
[Ahn
(1951);thekRev.13,959].-

DMONE, B. N.; rMOSH,, A. G.;.KOT-MOGOROV, A. N.; MAMOV, A. A.; GELFORD, A. 0.).
IMMAN, N. N.; VILEMIN, K. Ya.
Algebra
Development of algebra. Usp.nat.nauk 7 No. 3, 1952.
2
9. Month List of Russian Accessions, Library of Congress, Novembar 1951, Uncl.

v
.US SR/Mithematics Prize Winnirs Sep/Oat 52
'Viathematical-Life in the'USSR- Works Winning a
Stalin Prize," A. N. Kolmogorav
'Usp Matemat Nauk" Vol 7, No-501), PP P-34-7
Dr of Phys-Math Sci S. N. Mergelyan awarded prize
in 1951 for works on constructive theory of func-
tions, main results of which were expounded in.his
article 'Uniform Approximations of Functions of a
Complex Variable" (ibid., 7, No 2 (1952)). S. M.
Nikollskly's prize-winning works during 1949-1951
represent the culmination of 10 years, work in his
sirgle program e__L approximations of functions follow-
Ing-the. iuveatigatione ofiS. 94-Bernshteyu.
~242T78

YOTY-OWROV, A. N.
gjj 611 drWyjjMj
C a
WSR 1 YAY 52
"Problem Concerning Roistance, and Velocity Pro-
file During Tmrbulent Flow in Pipes," Acad A. M.
v
-.10 Dok Ak Nauk SSSR" Vol LMIV, No 1, pp 29, 30
:.Discusses.subject-formulas of P. K. Konakov, A. D.
AlItshUlr andrNikuradze. States that G. A. Gurzhi-
yenko's assertion concern~~ng the small influence
of a wall on indications of micro-setting is fully
~'founded by expts. Submitted 19 Mar 52.
224T93

FITN", B.A.; X019000HOT, A.#., akademik.
Velocity of & water current at & sudden increase of depth. Isy.Air SSSR
Otd.tekh.nauk noo4:512-322 Ap 153. (M12A 6t8)
(Hydrodynamics),

USSR/wth9..mtLc-s Probability Ott': 53
"Certain Wbrks of Recent'Yeare in the Field of
Limit, Theore.= of .Probability, Theory, A.N.
i, Kolwgorov
,.Vest. Mos Univ., Ser Fizikomat i Yest Bauk -No 7
19-38L.
3i ny'
ntions h1s.'and. V. Gnedenko's Predell ye
H~Lspredeleniya d1ya Summ Rezavis imykh ~ Sluchap~.'
nykh Velichin (Lizmtt.. Distribution*8 for. Sums o
f
Chancp.~antlties),. 1549. . Refers,to,
rks of':.R.L. Dobrushin (Izv An'S6
related vo
17, 19534-Yu. V. Prokhorov (usp mat Nauk.,,8,~
273T93L,
...No 3, 1953; DAN SSSE', 83, 1952)~- 'D'.G. Meyzler,
~'.,O.S. Parasyuk, ane.T;. L. Rvachepva (Dan SSSR,~,
6
(4u'948; Ukr Mat Zhiir, 9-20, 1949);'-.'~'le.L.Evacheva
dy,jnst ~*,I. i Mekh An, Uzbek SSR, No 10, part I
1953),".t.Yu. V. Linnik and~'N.'A. Sapogov (izv AN
SSSR 13 V*9);,SP- Kh.- SJLrazhdindv-- (Dc;rI-SSSR-P
84, :19521-.

KOIFMROVI A. 1% Acad.
"Certain Questions of the Qualitative Theory of Dynamic System with an
Integral Invariant.* report giben at the A-11-University Scientific Conference
"Lononosay Lectures". Vest* Make Unot NO*6, 1953
Traralation.U-7895, 1 Mar 56

KOXXOGOROT, A.N..
Some work, of recent years on boundary theoress In the theory of probs-
billtles, Vest.Mookun, 8 noolo:29-38 0 1539 (NM 7:1)
(Chains (1kthematics))

GILIFAND, I.M.; GRAIVp X.I.; KOLHOGOROV, A.H., akademik.
Unitary representations.of a real unimodular group (principal non-degener-
ate series). Izv.Aff SSSR 17 no-3:189-248 MY-Je 133. Oaju 6.--5
1. Akademiya Nauk SSSR (for Tolzogorov).

DOBRUSHM, R.L.; KOLMGORDV, A.I~.,akademik.
66~- "
Boundary theorem@ for a Markoff chain of two forms. Izv.AN SM Sor.mat.
17 no.4:7.92-330 JI-Ag '53. (" 6;7)
(Probabilities)

PUGACMW. V.S.; KOZXOGMV. A.N.. akadexAk.
General correlation theory of randou functions. Ixv.AN SSSR Ser.mat. 17 no.5;
4oi-42o 6_0 '53. (NM 6:10)
1. Akademiya nauk SSSR (for Kolmogcrov). (Correlation (Statistics))

XOU-1,000ROV) A* No
USSR/Mathematics - Markov Chains
1 Fay 53
"Ergodic Principle for Nonhomogeneous Markov Chains," T.A. Sarymsakov, Active
Member, Acad Sci Uzbek SSR, Central Viatic State U
DAN SSSR, Vol 90, No 1, pp 25-28
Considers a six,ple norhomogeneous and discrete Markov chain with uniquely
possible and disjoint states w1042, ... W., which is completely detd by the
assignment of a sequence of stochastic matrices (V.1. Rorianovskiy, Act&
Math. 66, 174 (1935); A..N. Y L (1938);
'&SJLo orov, Usp Pat Nauk, No 5
S.N. Bernshteyn, Teoi-F'ya'7iroqaVn-ost-e-y, Theory of Probabilities, 4th ed,
1948). Ak=//pij(k)Hf (k=1,2 .... ; i,j=1,2,.,,s), where p (k) is the
conditional probability that state wi remaining at momenti4k will pass
over to state wj-at moment tk+1 (i.e.t in one step). Presented 22 Deo 52.
259T70

AMAIN, G.Ya.; KOIKOGOROT, Aj.. akademik.
.Congruence relations in distributiTO structures with zero elements. Dokl.
AN SWR 90 no.4:485-W6 Je '53* (NLRA 6:5 )
1, Akadowlya Nauk SSSR (for Kolmogorov). : (Gongruences (Goometry))
i

HIMATV, . sh,Tq.;__XQPQGMVLA.W., akademik.
-Theory of the constructionof interpolation formalas. Dokl.AN SSSR 90 no.
4:503-506 Js 153. IMM 6:5)
1. Akademlya ;auk SSSR (for Kalmogorov). 2. Thillaskiy matematicheskiy
institut Akadoull nauk Grusinskoy SSR (for Mik*ladze). (Interpolation)

BARI, N.K.; J%Kqg2&oVj A.N.. almdmik.
GoneralizMlon Of lg*qm&litl~s of S.N. B.-rusht*in aud A.A. Markove D@kle
AN SSSR 90 me.5:701-702 Jo '53. (bMU 6:5)
I
j..Akademiya N&Lk SWR (for Kelmogerev). (Is*.qtalitiss (mathematics))

YAGLOM, A.M.; PINSKIR. M.S. "MMEL4:L~ akademik.
Random processes with fixed increments of the n-th order. D,okl.Aff SSSR,
90 no-5:731-734 JO '539 (KGU 6 -- 5 )
I.:Akademiya Nauk SSSR (for Kolmogorov). (Probabilities)

XHAPLANOV, M.G.; IIIPI;qOG01101'. A-1., akademik.
Spectral theory of matrixes in an analytical space. Dokl. AN OU 90
.ito.6.-969-972 Je '53- OCAA 6:6)
L Rostovskiy gasudarst venvyy univ*raltat im. V.N.Nolotova (for Khaplanov).
2. Akedemlya nauk =U (1',-r Kolmogorov).
(Matrixes) (Spaces, Generalived)

KRASNOGELISKIY, M.A.; POLOVITSMY, A.I.; KOLMOGOROT, A.N., akademik.
Variational-methods in the problem for points of bifurcation. Dokl. AN
SSSR 91 no.1:19-22 JI 153. (nU 6:6)
1. Akademiya nauk SSSR (for Kolmogoror).
(Spaces. Generalized) (Calculus of variations)

SOBOLRY, V.I.; NOLKWOROV, A.M., akademik.
Semiordered measurse of sets, measurable functions, and certain abstract
integrals. Dokl. AN SSSR 91 no.1:23-26 il 153. (NLRA 6:6)
1. Voronezhakiy gosudarstvennyy universitet. 2. Akademiya nauk 3WR (for
Kolmogorov). (Integrals) (Aggregates)

DYNKIN, Ye.B.; KOLMOGOROT, A.I., akademik.
Construction of primitive cycles in compact Lie groups. Dokl.AN SWR 91
no.2:201-204 JI 153. (NLRA 6:6)
1. Akademiya nank SSSR (for Kolmogorov). (Topology) (Groups. Theory of)

XOIKOGOROV A.N. akademik; KOKRISMHBV. 1.K.
-
Solvability of construction problems of the second order in the Lob&chevski
plane. with the aid of a hypercompass or compass and oricompass. Dokl.AN
SM 91 no-3:453-456 JI 151. (KLOL 6:7)
1. Rostovskly gosudaretvatMy universitat iment V.M.Nolotova (for Mokri-
shchev). 2. Akademiya nauk SM (for Kolmogorov). (Geometry, Plans)

USnN KIY, V.A.; XUNOGOROV, A.M., akademik.
Ggdelts theorem &ad the theory of algorisms. Dokl.AN S=M 91 no.4:
737-740 Ag '53- (NZU 6:8
1. Akudenlyu uwak (for rolsogorov).
(Aggregatu) (Algorles)

VINOGRAD, R.N.;. KOLMM~ROV, A.N.. akademik.
Instability of characteristic Indexes of proper systems. Dokl.An WSH 91
no-5:999-1002 Ag '53. (MLVA 6:8)
1. Akademiya nauk SSSR (for 11olmogorov). Olatrizes)

DYNKIN, E.J.; KOIXOGOROV. A.M., akademik.
,---------
Momological characteristics of hamomorphlems in compact Lie groups. Dokl.
AN SSSR 91 no.5!1007-1009 Ag '5). (HM 618)
1. Akademiya nauk SSSR (for Xolmogorov). (Groups. Continuous)
I

ROMTYANSKIT, A.M.; KOLMOGOROV, A.M., almdemik.
...................
Integral repreeentations of the degree of mapping. Dokl.AN SSSR 91 no.5:
1019-1021 Ag 153. (MLHA 6:8)
1. Almdemiya nauk SSSR (for Kolmogorov). 2. Kookovskiy khimiko-tekhnologi-
cheskiy institut uWasnoy prouWahlennosti. (Surfaces, Representation of)

KHARAZOV. Y.F.; NOIXOGOROV, A.N.,. akademik.
One class of linear equations with symmetrizable operators. DoIkLAN SSSR 91
no-5:1023-1026 Ag '53. (KM 6:8)
1. A)mdemiya nauk SSSR (for lolmogorov). 2. 7bilieskiy matem.aticheskiy
institut im. A.Razmadze Akademii nauk Grux.M.
(Diffevintial equations)

EM
ALIBER, S.I., KOLK(MROV, A.X.. akademik.
Houlogs of a space of surfams and their applicatio.; to variational calculus,
DALAS Un 91 uo*6:1237-1240 Ag '53. (WRA 6.- 8 )
1. Akademiya na& SM (for Kolmogorov). 2. Tomskiy gosudarstvennyy universi-
tat im. V.Y.Rdybysheya. (Topology) (Oalculus of variations)

BERIMMKIY, Tu.M.; KOLKOGOROV, A.N., Wmdemik.
ff~pe-rcomplsz systems constructed on Sturm-Liouville equation on the somiaxis.
Dokl..AN SM 91 no.6;1243-1248 Ag 653. 6.8)
1..Akademlys. nank SSSR (for Iralmogerov). .2. Institut matematiki Akademii
uauk Ukrainskoy SSR. (Topology) (Differential equations)

BEIDWI, D.L., KOD-IOGOROV -, A.U., akademik.
Aimroximation of periodic functions by linear, trigonometric polynomial Opera-
tions. DokI.AN SSSR 91 no.6:124q-1252 Ae, 153. (MWA 6:6)
1. &.ademiya nwik WM (for Kolmogorov). (Functions, Periodic) (POIY
I nomiale-)

GAIMURG, I.M.; XOTMOGOROV. 1L.U., akw1emik.
AnDroximation of functions with a given module of continuity, by P.L.Cheby-
aWev's or-ma. Dold.AN SM 91 tio.6:1253-1256 Ag 153. WIK2- 6:8)
1. Akademiya nauk SM (for lolmogorov). 2. Daepropetrovskiy dosudaretvennyy
universitet. (runctione)

SMUUIOV, Yu.; KOLMOGOROV, A.H., akudemik.
Corapletenena of uniform spaces und spacea of i)roximity. Dokl.AK- =R 91
no.6:1281-1284 Aj,, '53- 6: 8
1. Al:adenVa nauk SSSH (for loliaogorov). (Topology) (Spaces, Generalized)

IMARA OV, D.F.; KOIMOGOROV, A.K.. Ldcademik.
Theory of symietrizable operators, depending polynoraially on the p&.rameter.
Dokl.AN WSR 91 no.6:1255-1237 Av- '53. (ML2& 6.-8)
1. Akademiya naifc SM (for Kolmogorov). 2. Tbilisskiy juttewitiallebkiy
institut im. A.Mizmadze Altudemii nauk Grusinskoy SO.
(Functional analysis)

rMUMCM, S.Ta.; ZOIKOGOROV. A.N., almdemik.
Oertain non-linear extremal problemm for bounded analytic functions. Dokl.AN
SWR 92 no.2:243-245 S 153. (KLMA 6:9)
1. Akademiya nxak SM (for folmogorov). 21. Toletakiy gosudarstTennyy uchitell-
skiy Institut (for Xhavinson). (PUnctions, Analytic) ~ I
t

FRAMI, F,I.; JEOIXOGMT, A.I., akademik.
Theory of movement In suspended depositions. DokI.AN =R 92 no.2;247-250
(NLRA 6:9)
1. Akademlya nauk SSSR (for Kolsoprov). 2, Kirgizakty gczud&ratTOnAYY uni-
ftej~jnj es
versitet (for Prawd'). (Fluid
(Sed4mentation and 4"osition)

MTIOMA , Sh.Te.; KOIMOGOROV. akademik.
Expansion of finite differences from functions in differencee of its deriva-
tive. Dok-LAH SSSR 92 no.3:479-482 5 153. (ML" 6:9)
1. Akademiya nauk SSSR (for Kolmogorov). 2. Hatematicheskiy Institut Aka-
demii nauk Gruzinskoy SSR (for Mikeladze). (Difference equations)

ORLOV, S.-4.;,,KOLNWOROV, A.N., Wmdemik.
Defeat index for liniardifferential operators. DokI.AH S= 92 no-3:483-
486 S 151. (MMA 6-9)
1. Akademiya nauk SAX (for Kolmogorov).
(C~nerators (Mathematics)) (Differential equations. Linear)

'~OADDBM, D.K.; KOLKOGOROV. A.N.,,akademik.
.......
One theory of the theory of homologies in groups. Dokl.AN SSSR 92 no.4:703-
705 0 '53. (MUA 6:9)
1. Akademiya nauk SUR (for Kolmagorov*). 2. Leningradakiy gosudaretvenuyy
univereitet im. A.A.Zhdanova (for Kolmogorov). (Groups, Theory of)

BXRZWSKIT, Yu.)L; VOIXOGOROT, A.N., akademik.
Proper franction analysis of partial lifference equations. Dokl.AN SSSR 93
no.1:54 N 153. (HLHA 6:10)
1. Akmdeuiya nonk SSSR (for loloogoro-r). 2. Institut matematiki Akademii
nauk Ukrainskoy SIM (for Beresanskiy). (Difference eqa&tions)

MONIN, A.S.,; OBUKHOT, A.M.; 101MOOCROV, A.N., akademik.
w9w"U"'W"
Dimensionless characteristics of turbulence in the surface layer of the
atmosphere. Dokl.AN SM 93 no.2:257-260 N '53. (MLRA 6:10)
1. Akademlya nauk GM (for lolmogorov). 2. Geofisicheskiy institut Akademii
nank SSSR (for Monin and Obukhov). (Atmosphere)

BERZUMKIY, TV.M.; KOIX(XMOV, A.W., akademik.
Unique determination of the Schr5dinger equation by itis spectral function.
Doki.AW MR 93 no.4:591-694 D 153. (NUIA 6:11)
1. Akademiya nauk SM (for golsogorov). 2..Institut matematiki Akademii
nank Ukrainskoy SSR (for Berexanskiy).
(Geometry, Differential--Projective)

~g~:t,-.-~t~,,,. - -,,
, - I , . :: ~ I .,-'

KW-9, M.G.; NOINOGOROV, A.M. akademik.
Certain cases of effective determination of the density of a haterogenous
string by Its spectral function. DALAY SSSR 93 no.4:61?-620 D '53.
(HLPA 6:11)
1. Akademiya nauk SSSR (for Kolmogorov).
(Vibration) (Kathematical physics)

KOLMOGOROV, A.R., akadealk; SOROKIN. I.S., rodaktor; GUMM, A.. tekhni-
adaktor.
[The profession of a mathematician] 0 professil matemattka. lad.
2-e, dop. Moskva, Goo. ixd-vo 03ovetaksta nauka.0 1954. 29 P.
(Math*matice &a a profession) (MI" 7:31)
1

bA33l.K73 TREASURE ISLAND BOOK REVIEW AID 777 - H
KbLMOGOROV, A. N., FOMIN, S. V.
ELEMENTY TEORII'FUNKTS1Y I FUNKTSIONALMOGO ANALIZA. VyPusk I
METRICHESKIYE I NORMIROVANME PROSTRANSTVA (Elements of the t~,eory
of functions and functional analysis. Issue I: Metrical and
normed spaces). Izdatellstvo Moskovskogo Univer3iteta, 1954.
153 P.
This textbook was written by A. N. Kolmoggroff, one of the out-
standing Ruesian Scientist mathematicians, assisted by Profedsor
S. V. Fomin, for student3 of graduate schools in the mathematical
faculty of Russian universities.
The first chapter of. this text is devoted to a brief exposition
of some basic ideas of the theory of sets in which modern functional
analysis is needed. A more extensive text on this subject of the
introduction to the general theory of sets and functions has been
written by another outstanding Russian mathematician, P. S. ,
Alexandroff. This text Is recommended-by Kolmogoroff as an addi-
tional text to his first chapter (P. 5). For more extensive study
of the whole field of the theory of sets, the fundamental book on
this subject, the Grundzage der Mengenlehre, written by F. Hausdorff,
1/3
KOLMOGOROV, A. N., FOMIN, S. V., Elementy teorii . . .
AID 777 - 14
was'translated from the German into Russian in 1936. (The first
German edition of this book was reprinted in the U.S.A. in 19491.
The second, third and fourth Chapters on metrical spaces, linear
normed spaces, and linear operational equations respectivelyj, are
written on the basis of the modern theory of func-tional analysis.,
in whose creation Kolmogoroff took part by writing many articles.
The most famous of his articles Include:
I. Ober die analytiSChen Methoden der Wahracheinlichkeitvrechnung.
Math. Annalen, 104 (1931) 415-458.
ii. Sulla forma generale di un processo stocustico omogneo. (Un
problema di Bruno de Finetti)-l"Atti Accad. naz. Lincei, Rend.,
(6) 15 (1932) 805-808, 866-869.
III. Zur Normierbarkeit eines algemeinen topologischen linearen
Raumes. Studia Math., 5 (1934) 29-33.
A very impoitant..supplement called "Generalized functions" van
added to the third chapter - Linear normed spaces
2/3

KOLMOGOROV, A. N., FOMINI S. V., Elementy teoril . . . AID 777 - M
In this supplement the method of determining of generalized
functions, constructed by the Russian scientist S. L. Sobolev
was used. This method was ublished in several articles in
Russia in 1935-1936 (p. 129~.
3/3

LYAPUNOV, A.M.; SRITMKIY, LA.,- otyatstvennyy.redaktor; IMOGOROT, A.M.,
akadenik; SMIRNOV, V.I., aMdexik; SUBBOTIN, N.Y.; lsmffiftfr.'~'VM;
MIGIRMO, G.S., kandidat fixicheikikh-matenaticheskikh nauk; PSTM
VICH, Y.T., kandidat fixichask1kh-matematiohaskikh nauk; GWOGINOV,
A.Y.. redaktor; ALMMIUVA. T.T., tekhnicheakly redaktor.
[Collected works] Sobraule sochinsuii. Moskva, Izd-vo Akadexii nauk
SSSR. Vol. 1. 1954. 446 p. (ULU 7~11)
1. Chlen-korrespondent Akademii nau SSSR (for Sretenskly and Subbo-
tin) 2. Doyetvitellun-,chlen Akademli nauk SSSR (for-Ishlinakiy)
Wapmnov, Aleksandr Kikhailovich, 1857-1918) (Mathematics)

UA
nX

u
ne,
-
kwam and. urrrlzvlqteL)Unc
-dir T16pi

I
t
U
P
which (~s lIr o
thr rf-'()St 4b---"" dwillu
-
-
ilau EO
ca f MIS 8j)edffIc orn
Lln~
'
-

A 4 Id
J_ A IV
LT LS, jj
-FD-76T
s
_t"K
d f
A Pu
O

enysics
o
n
.
mp
p
Card 1/2 : Pub 129-4/24
Author : Kolmogoroy;:-_A. N.
Title W A. VelikcanoVls.new variant.of his*gravitational theory of motion
of suspension pumps
Periodical Vest.. Mosk. un., Ser. Fizikomat, i yest. nauk,.:Vol 9, No 2, 41-:45
MbIr 1954
Abstract The author- claims that the new variant ,M. A. Velikanov, "Motioa .
of suspension pumps,-," Vest. Mosk. un.,-No. 8, 1953) of Velikanov.'511
gravitational theory" of the transfer of suspended particles by-a
turbulent'current,-fir.-st propose Id by Velikanov :W 1944, leads to coii-
clusions so paradoxical and so roughly inconsistent with daily ex-
perience that the theory's defective basis hasbecome particularly
evident ,. Velikanov's fundamental idea of the role of the "energy
of suspension", which is essentially correct, is here analyzed for
any errors and also for the possibility ot its more correct development.
MW author refers-to a related work of G. I
. Barenblatt (Motion-of
'
suspended particles in a turbulent current," Prikl. mat. i makh.,
17, No- 3, 26i_42P 1953)o
(no institution).
Submitted: December 16,

ma/Mathematics - Mechanics

KOIX akact.; URMSKIY. V-V-, prof.. otv.red.
[Program in the theory of probability; for the Xechsnics~,Nsthemtics
FamIty, Major: uthematicb] Programme po teorii verotatnoott
dlia mekhaniko-matematicheakogo fakallteta. SpetsiallnoBtl - mts-
watiks. 1956. 1 p. (KPA 11:3)
16 KOBCOWS Universitet,
(Probabilities)

ILUSARDROV, A.D, , redaktor; KOjfi ff'OY4 'A imde iki redaktor; LATRM!MT,
X.Ae # aQemik, redaifbi;,B'T-v IW' ?V.. redamktor izdatellstva; FOLI-
tw .
VANOVA, Ye.B., tekhniclAakiy radalctor; UTANKOVA, Te.T.,, tekhaicbookiy
redaktor
Elbuslialtia's 10 Oft 12 t kance] Nateutlke.-se.
00. as hod$$ andL algalf
abdirshants, metody i suachami9o Moskyao Vol.l. 1956s 294 Pe vole2e
1956. 395 p. Vol-3. 1956. 336 p. (KERA 9:12)
I* Akadestya nauk SSSR. Hateastichasidy institut. 2. Chlen-
korrespondent AN $S= (for Aleksan(trov)
(Hatbamitics)

I
LTAPMV, Aleksandr Mikhaylovich, Wmdemik; SEEMSKIT, L.N., radaktor-,
XDIMGOBDV, A.N.. akedemik, redak-ter; SKIRWV, V.I., akademik,
"722- !WN, K.Y., redaktar; ISHLINSKIT, A.Tu., redaktor;
MIGIREM, G.S., kandidat fis.-mat. nauk, redaktor; PZTKNVICH, '.
V.V,. kandidat fis.-mat. nauk, redaktorl KIRNARSWA, A.A., takhni-
chemkiy redaktor.
[Collected works] Sobranle sochinenit. Moskva, Izdrve Ak--4emil
nauk SSSR. Vol.2. 1956. 472 p. (ML 9:6)
l.Chlen-korrespondtnt AN SSSR (for Sretenskiy Subbotin).
2.DeystvitelInyy chlen AM USSR (fp:; Ishlinskl;)
(Dynamics) (Difftrenti-I equations)