SCIENTIFIC ABSTRACT NIKOLSKIY, S. I. - NIKOLSKIY, S. M.

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• Collection: Scientific Abstracts
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• Sequence Number: 1
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

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ACJ',F,5$I0N W AT5022827 UR/00Q0/65/000/GK)9/(M7/01G2
'rlTLFI Extensive air showers of cosmic rAdiation
SOURCE: Vsesoyuznoye sovnshchanlye po kosmofizicheskomu "pre vlen iyu
,i,.s.sl..e.d-crvaniy__~osmicheaki~h luchey. lst, Yakutsk, 1962, Yasmicheskiye luchi i
prDblomy kosm0iiziki (Cosmic rays and problerns in cosmophysics); trudy so-c5h-
,cchaniyn. Novosibirsk, Redizdat Sib. otd. AN SSSR, 1965, 67-102
TOPIC TAGS: extensive a.'r shower, primiry connicrAy, ru meson, cosmic
it I - '
radiation energy, cosmic radiation c~pos on
ALS"WiCT: This survey of experimental data on extensive Air showers includes
a discussion of- (1) space distrLbution and total nwnber of charged particle@
in extensive air showers at the observational level; (2) spectrum of exu-meive
qir showers relative to the number of particles; (3) mu-misons In exteristve air
showers; (4) fluctuations in the relative number of mu-mesons at the measl,r-
ment level; (5) energy flux carried by the various components of extensive air
showers; (6) energy spectrum of priasary cosmic radiation; (7) seatch for the
-anisotropy of primary coumic radiation. In conclusion, the author states the
basic objective& of future experiments: (1) study of the energy spectrum and
1/2

L Al E r I ritl--6 5
ACCES31MI HR: AT5022527
search for the anisotropy In the apatial distribution of primary cosmic radiation
-At energies E0 > 1019 ev, and (2) study of the chtmical composition of primary
cosmic radiation. Orig. art. has: 8 figures and I tablj.
ASSOCIATICRk FLzichaskiy institut im. P. H, Lebedtvn, A4 SSSR
Institute, AANSSSR)
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AUTHORi ft,zina Ye. A.; Mlkollaklyj 13. 1.; Tuklah,, To. I.; Yakavley, V. 1.
ra
Nuclear-actIve h1gb-ener&y particles and the accompwWing r
,j jx
t=iy-ft Sir 8bQV'MrA_
SOURRCEt Yadernays fitikaj, v. it no. 6# 1965p 1079-1092
. A yy~
TOPIC TAC-Si comic rR measurpmem,' cosmic radiation cmpositionp cosmic my
--shoverpoo-mic ray telescope, i-niLation hodoscopuo spectrum analysis
-ABSM',CT.h The authors report the experiment&l-reaults on the enerU spectrum of
X 1012 to 1014 eV at an elevation of 3W0
nucle&r-active particles in the region 3 A M
above am level, and on the extensive air showers accompanying these psrticler,. The
appaxattis to shown schematically in Fig. 1 of the E'nclosure and consista of two
trays of ionization chambers pl"ed under a thick layer of carbon in a cavity sur-
rounded by lesA shielding. These chambers were used to dttect the high-energy-
nuclear-active particles. Two additional trays of ionization chanbers, under a re.
lativel~f thin layer of 1e&,3) were placed above the carbon to measure the cnergy of
.the elettran-pbaton component of the abower cord. The nw!ber of particles in the
extensive shovers was determined with hodoscapic counters placed both inzediately
above the block of ion-41sation ctambers and at a distance of about 30 meters from the
Card 113

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ACCFJ35IDN NR: APWI7950
center of the apparatus. 7be measured energy spectrum cinnat be described by a
pcwtr law with a single expornen't. over tM entire energy rarAe. 71he mean free patho
were detemined for absorption and for rricleon interaction in the atmosphere, and
f(rand to be 120 tLnd 83 g/CM2 respectively, for particle energien above 101-1 eV. An
a-nalyiia of the distribution of the total nurber of particles of eirtqnsive air
shm,erij acconparVing nuclear-active particleg of a giver enerV in the region > 3 x
x 1011! eV lends to the assumption. that a change in the picture of the colilsic7n of
a micleart and the air nuclei takes place at an incident- nucleon enerKi abcr-re 1013
eV. '11-iia change explninc the featurea of the photon ent,ra aplectnu,' in the
I a Icles.
atmosphere and the published data on exteneive air ahov(!ra With 104__ 0 P&A7
Altho,.tgb the spretra of the air shavers could also be attributed to a sharp change
in the ct:mposition of the primary co8mi,: radiation near 103,3 eV, the latter aam-zp-
tio:n Is not borne out by direct balloon and rocket data on the composition of the
primAry radiation. Orig. art. han; 9 figures, 31 for=jlas, an4 3 tables.
ASSOCIATION:r Fizicheskiy institut im. F, N. Labedeva XcAder6l r-auk SSGR (Physics
Institute, AcadeM of Sciences,868H) .
SUBMTrOt O2SeVA MIM 01 BUD CODE: RPP OP
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Card 3/3-

VERNOVI 5.N.; TEGUOV, T.A.; TEFIMDV, N.N.; KMSILINIXOV, L.D.; XtIZIHIN,
A.I.-, MAKSI)CV, S.V.; MTEPMA, N.M.; %IKOLISXIT,,5.j.;
SLEPTSM, Ye.I.,, SHAFFR, Yu,G.
Projectof a- larre setup for studying &xtensive air shawers
in Takutak. Izv-. AN SSSR. Ser. fii. 29 no.9o1690-1692 S 165.,
(MIU 180)

MIKOLISKITI S.I.
... ..... I ..
Prospe~!ta of st,;dying co=Ic rays In the regicto
lzv, AN S!:M.Ser.flzo 29 noolO:1927-1934 0 165.
(PJPA 28110)

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t i, k, !-;. t. * : '-~ : --h !' -.~ i r~ - . . "; . ~ ~ .- I .
, . I ~, I " " (MIRA 1,3:10)
19 1" .. .- I '.

WIZVWA, a. L. NIKOLSKIY
I.ualear active particles in showere vith vari" musber of joirticlea
--,t-p,rt submitted for the 8th rntl. Cmf. ort Cosaic Fayff, (IMPII, J&Lpur rndtr-,,
2-!.4 Dee 1963

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ACC N& APM44M vow
SOW= GOKI VNVW/WMV/"&
AWMRI A-r-MW-A-2-11-8 Kfael-t-'WIPIPW V'rs NOW
Aw ran X.R.1 Olio 0 CIPO 4.1.1 Of-PrA To.
001 Now
TITTAI Plan for a large tastall4clow at Tomtek for ot"r at
.(WVWI. All-Union Omforwom on Omato !!!f ftletes Aftest 1"4/
VOVIKXI A* MR. tawfutire. x4fire r1aletwoftere, V. Co. 0. ties. NOR
IWIC 104101 grimer comic MTO extowlw* air Stwwor. Ovec,6~1-1
tsar" Atetriontten, Comte radiatto" 44pp"Itieft. Comte r"latte" dateetf""
%WTI After a dioc"asten of tfw 41gultic"we at extensive air 660"r6 for the la-
ve6tigaties at altrakfSk margy prisary Comte roye, Sbe awthere brtattip describe an
14SUltattes to be voopteled to the "Kt Coo or tatrow Years 864C "a te"t at latit
Sze x to %be valwisk fastens it to ant9cipatod Oat the tottattatte" Witt ttetd '"ZO-1
nation mawaraing tbw mew Speoccup. Coup"Itted. ad antangwr at priskary cow-10
rate Ott saw"" up to 1.410 WIF. The lantattattoo. tutooded for tareaugettes or WK, -
tewive air sho is, stit ow"floo 46 stations spreed ever an *rwo se as fts. rAc%
statift will 4w e*dppW wtth astatiltattes dentors wtilt 4 total smattive am* at I
an of 4 Got and we um motrat 4484144 - to up. The *mat o"wittwo of astattt- -
Cwd

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AM
14494" casours to saw "ale Im"attas"a wat be W4 as. grAb acatteo Witt be f"11
red with pbsommlespilen; (joco4 e446oft gme, ta awN on *wA statiest few MCOVISINK
the OILI*dww IMUN evempawtvs 0 flowar. to *"uos* once oil& be 00" 4444440f0
NAM 0 SOW OMMIllive avas *C IS *S. ftlass vill be tedsowitt" CnM "w wtv too
stafteas 0A the emend Iftevesee, bv r&"9. It to auttespew sba Ude 601444,4014
will Nomad a a to wwwaft v;;rjrw with somwas Onse"Ime &W 41 ad I 96MMO P
par via - M sweadiffs V. fttg. 44. lass I [Sam Ms 1 446".
so Mil wt @me sot- Q~ws MI MMO on
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plon
ADSTRACT: In ~Icw of dl~t~parii:~y calciiliatvl~,r. an-i
Vri 'I I i t i I t~-. 11 ~-~ I f,t 11 T.") I I i t I f) !, I c I ,I a re-1 1) 1 -,r 1 f
17
C Y C 2 ',-, i I t c 1, t h T) 1. C, v I ri t i, r, 11 r r :1 ri i i r) r ,,0;7
thl,t the p.ros-mtly ured ciaawt,~t explnln "he
~~xtvcme.ly rapld radiation of the parti(704-niumlu-~-v v~~ectrum of ,ihoweri
w1th both 1,arge and small numl-,~r of particles, ,Arxl there lo no explart-
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by an ammint -,.0. 17" In wh i c h I n, lu i c r. ol
[111.n1i'mPtIons 1 t I i of th,-x T-.~-..,y cAr~;n;!c
Plif e ,;
iol 1'a I re s. s !,,t L. r 1 e f I y(.1 1:,~ ~'n c- r, re r e n c
ord Lwnry pioniZation, of ac t o w I t h i I o in I Tia n t c. w, d 3, 1 a t i o n r,
Cleo tron -p'roton componeut increa-m-.,.., on tte one hann, the total
flu.-111 uf pai~tlcles In extir-msive air r1howerri in the stratoiphere, and
ori the other hand decreases the relat-lve numt~~r of nuons In the
f3hower. The mout characterifitic detall ur th~.! now procena la a rapid
Increase In the effective cross nec
Card, 2/3

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'Slill COME! 201 SUPM'DATAE:
Caixi

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AU70;'i: &-,ineva, T. P. Dedenkof L.
ORG: Physics Institute im. P. N. 14bedev, AN SSSR (Fizicheskiy institut. AIN SZZ'k'~
.~.;.Z: Comparison of the cran chAracteristice of extensive atzosp~nric s~.crwers wlth
nucle&r cascade avalanches, calculated under various assumptions regarding nucleor.-
nucleus interactions
SOURCE: Yadernaya fizika, v. 4, no- 3. 1966, 578-584
WPITC TAGS: nucleon interaction, cosmic radiation
IRACT: Experimental data on extensive atmospher1c, showers
,are compared with calculations of nuclear cascade avalanches for
I
:three different assumptions eoneerning the character of the
iolementary Interaction between a nUoleon and a nuolous or an
I
,atom In the atmoophere fluctuations of the shotter production
iheight, and the complex composition of the primary cosmic radia-
:t1on are taken Into account In calculations of the mean character
,istics, Among the considered models for Interaction of the
,nuoleon - nualaus of atmospherio atoms the two-fireball model
results in the least disagreement with experiments. Origo arto has: 4 figures
and 3 tables. CJPRSs 38,7641
SUB CCDE: 20 / SUBM DAM: 15Jan66 ORIG WS 005 OTH W: 002
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On embeddin? thennsm.3 fr.- ilrrirn of ~Iiffersntlil cf rAry
vartables. rrAth Ear no.l.,796-ftl 163.

I'Zolzm, S. V..
ONOW
"Conceming the A4y-;ptotic LUluation ff O'll of the ApproxL-ation by
Means of Fourterla State," Dok. AHtd. hat&, Vol. 32, No. 6, 1941. (Stakloff
Inst. of Math., Acad. of Sci. c1941.

r
, S. 11 -.
r.
IL
"Approxiration by Polynomials of Functions Verifyinp the Lipschitz Condition,"
Dok. Ak Nauk, Vol. 42, No. 3, 1943. (Stakloff Vath. Inst., =R Aced. of
Sci., ci943)

It HKOLISM, S.N.
2, USSR (600)
*works of the Nathamt1oal tustit-ute imeni V.A. Stekl*v.* Uspakhl Mat~mt
Mank. I s Xn. 5-6. 1946
9. ~ Report V-1493. 27 Sep 1951

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"Concerning the Best Approx1ration by Yeans of Polynom-We of Functions Verifying
the Conditionj of Llpschitz," Dok. AYad. Nauk., Vol. 52, No. 1, 1946 (Stekloff
Inst. Path., Acad. !j'ci. c1946)
"Irourier's Series cf the Function of which the lodule of Continuity Is Given,m
Wk. Akad. Vauko Wil. 520 Nu. 3t 1946

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"Fourier Series of Functions Possessing a Derivativq of !-bound larlation," Iz. A~.
Nauk SSR, Ser. Vater-at.., Vol. 13, ho. 6, 1940/. (t'&I.h. rnst. L, eni ;. A. Steklov,
U~ZR Aced. of Sci., 194~!) Article also published in Dok. Ak. Vol. ~5, I-o. 1,
1949.
"Asyrptotically Optirimn Linear Yothod of Approxinatinf- Differprlial Functions
by Polynomials," Dok. Ak. Vauk, C9, Vo. 2, 1949

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Applied Mathematica
"Asymptotically Optima Linear Nothod, of Approxi-
wtftW Differeutial Pmetions by Polynomials," S. K.
vikol'skiy, 4 pp
O'Dok A Sauk WW" Vol L=0 go 2
Demonstrates on* of the possible methods, asymptoti-
tally optimum end linear, for approximating func-
tioce f (s) of clase wro def ined an Interval -1 v1
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lose am* on is Oeoiuu, ftive, ror any rp by V61v.
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USSR)kathematicg - Matheraticiaa Sep/Oct 52
'"rhe Works of Sh. Te. Mikeladzes" S. K. Nikollskiy
"Usp, VAtemat Nauk" Vol 1, K3 5(51),, PP 237-8
Mikeladze$, professor and corr mem, Acad get Georgian
M, was awarded 13 Kar 52 a litalin prize for his
work on approximate methods of mathematical analysis.
Ke Is a prominent Gavlet mathematician and outater-1-
Lug representative of the Tbilisi school, direct
successor to the late Acad A. K. Krylov. Numerous
varks are devoted by him toapplied computational
vAthem&tical analysis,, such as approximate integra-
tion,, interpolation, salutions,, etc.
24M.9

MTV
Approximtion
llftadmtia FormaIss," S. K. Kikol'skly
*18 Ak Nwk SM, S#r V&temt- fol XYlt go 20
ift-196
G=sIders tbe quadmtfe formdas, wkich represent
Aw ortiusr7 own uVloyed in thqt practice, of coi-
Iblaijoa of elassical gaedratic, formles, *zatt
IW polynanials of given power. Studieg the e"a-
m%lon of affroxlmtlons by ouch forma". Subult-
%A by Acei S. 5. Dernshteyn 4 Oat 51.

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IIKO~ISXIT, PROF at X.
IMR/Wfttbemtics - Approxtration Aug 53
"Approximate Representati= of Fur4tiorm," Prof' C. M.
Nikollskiy
Prixoda, Ito a, pp 12-20
States that a large school of mathemticians is work.
ing on the theory of interj?olation in Moscm, Lenta-
gradl, Kier, and Tbilisi (frcm Tbilisi ccoes Sh. Ye.
X'ikeUdzej winner of a StAlin prize in 1952 for his
appr imate integration of differential equations).
Another related school is Vorking on the new con-
atructive approximation theory of functions,, which
was largely developed by S. K. Bemshteynp winner of
a Otalln prize irx 1941 for vorks on approximation;
mmly in Moscovj, L-eningrsd# Darlk*y, YereTen,- Kievt
and Dnepropetrovsk. Further states that X. A.
Larmat;ysvp K. To FAlft1h, &M S. 1. Vllrgglygn (Of
Armenia a.,A conducting new studies on approxim-
tions of camp! -variable functions.

NIKOLtmay, 9.90 Meow).
Properties of cartalm classes
table malfolds. gat.abor. 33
of functions of several variables on diffe"nt-
no.2:261-326 5-0 1953. (XUIW 6:9)
(knotions of seviral vartablos)

A/ I K I;-,L , A I ~
.1) 1~ t S-09 I
IMAM, A.T.; PAnOWIT. I.0., akabsalk, *tv*t*t-oWr rvtoktor:
Xmas KITkIASS-smsetitel I otvatetvwmo4o retaktorm.
ft"Hosto of the sized type. A.T.IttmAze. TrWty Vat.lzat, 41
39 P. '53. (Differvattal equattone, Partlal)

W I A" - raw tmW
%wowd Not* on the Extension of Differeutlabl*
VONCtions of May Variables," S. K. Kikollsklys
am last i"Ont Steklow" Aced act UNR
as SMP Vol 68" No 1, PP 17-19
Inwetrates several theorems vhich Ptralt oat
.Ao mtud~r exhaustively the properties of differ-
Imettable functions in any linear spaces of a
ImIc *pat* that are paraUel to the coordinate
amem. Presented by Aced S. K. Bernshten
13 Oct 1952.

"The Prop*rties of Differentiable Fuucticrns of Many
Variables on Closed Szooth Manifolds,," S. V. 11koll
sklyl. Math Inst iowni Sttklov, AcsA Sci, WSR
US MW,, Vol 86j, W6 2,, pp 213-6
Cestinuot a previous vork (ibid. 88, No 1 (1953)).
Comidera functions of certain classes in variouc
*41musional, manifalds, S. PressateX br Acad S. X.
bmsht"u 13 Oct 52.
249M

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um/*tbmtice - Awaximations 21 APC 53
"Best Approxisiatiou of a Ftmction Whose s-th De-
rivative Possesses a Discontinuity of the First
Kind," L L rbragimy, Aterbaydzhan SWA Pleds"ic.
Inst in Imnin, Uku
Dm &qm, Irol 89, go 6, PP 973-9T5
Deri7ation of the asymptotic valim of the best ap-
oxisation, of fuuttion f(x) vho" s-th derivatiYa
a)(z) possesses in the interval -1001 discoutin-
f
uities of the first kind (at least imL one interior
point), vhere a is any real positive. muiber not
259T62
necessarily an integer (the case of ex od4L integer
me considered by S., K. Nikollskiy, DAN GM,
Vol 55, No P- (194M, vhich derivation in con-
nected with n" the be t a oximation of
~jx_~px a ' a7
re(N-00 /9-1(c Mki I = &,b are
real#, Presented by Acad S. 1. Bernahtsyn
25 F" 53-
5

g.WAF
MULL ORL
VOO/Matheastics - Approximation, 21 jun 53
series
"Generalization of One Result of S. M. fflkol'skiy,"
T. 1. Ananov, Math Inst in Steklov, Acad Sci, USSR
wj 880.1 VOL 90, No 6, PP 949-952
Dmonatrate-a several theorem , proved.for the case
a -1 by S. M. Nikol'okly (DAB 83SR, 83, No 1 (1952))f
that govern the Fourier-series expansion of certain.
harmonic functions and the conyergence of the series.
Presented by Acadendclan S. W. Bernshteyn 13 Apr 53.
20,0165

VM/natlisesucs - Approxisotion, 21 Jun 53
Series
"Generalitation of One Result of B. M. Xikollskly,~
T. I. Amenovf Math Inst, is Stekloy, Acad Sci USSR
M SSSRo Vol 90, So 6, PP 949-952,
Dmonstrates, several theoremst proved for tht case
a to I by B. N. Moll skiy (DAN SWR, 83, No 1 (1952))
that govern the Fourier-series expansion of certain
harmonic functions and the convergence of the serles.
Presented by Aca4esilcian S. H. Bernshteyn 13 Apr 53.
26r
,jT65

L4

f.; is v4 fjo

KAU0Tj A.A.1 PAUD"W!,~ 1.0., Wadoolk. rodaktorl XIZDLIMT# S#Xogr prq~
fooser; USOMY, LJ.. rodaktort ANOW. I.A.6 TvmWMVIffY-%-
daktwo
"10007 Of "rlVm- TrWy lkt.lost. 1413-3," 1510, (Nm 815)
: (Alpelow)

KofflKof.K.K.; PWRCNSrff.I.G,.. akadvalk. rodaktor; SIR IMLY I
proteamr. re6Wktor; III Iff.A.Z., redsktar; MAROWAJO.D.- at-
cbmidy rWk&tor
(lawastidatlem an tka hometople tkany at coutionowas supplagp.
ftxt 1. Algebraic Ummmy of system*. Mart 2. ftiunLI systams,
AM SOW ban~* SAW.1 14814dwodla Pe cometarldhookel tss~rll
moreffoleft otobwaskadi. 1. AlcabralakeekwA te"lla Staten. 11.
Natumlluals slatomm, I constortabooldl tip. Nookwa, ted-we Made-
all somh ~. 1955. 158 P. (Aka4mila amak ~. lktomtlckmldl
imatitut. TruAr. vol. 46) (KM 8:9)
(courerma awrime)

NOYIXOV, P.R.; FBIMUrr. I.0., Wademik,. rodaktorr, pro-
foosert. GtWF. Ir.P'.,, rod&kttrg FOLTAWTA, vw~j6%W9Fpmrrq-
daktw*
A4priftmic uatact"bilLW of Ow wort Ideattir problem I& the tbso&7
dwswo Truo lkMast. WI-L40 155. (Nm 6:5)
(a OV 0 Tbmr of)

A&MARMIM.P.S.; MROFSM.I.G., ekAWimlk;
Tdpolfttcal theoressi of duality. part 1.
lost, 60.4825-110 155.
(Topology)
NIECILOSKIT.S.K., professor
closed note. Trudy gat.
(OWU IS-M)

m i -, - 1,1=0 S616
lonsavokw
taoqmUor fw perlodle ftattle"s wp4oatoamko It MOIC219422
10-F '56. (OZ" 9:6)
(IM""Iflog (K&*hfMtj49)) (PMWtl4GS, F*rlOdlG)

1190TOCKtro SONS
61Z03-212
OIW fmdlr of rwwttoual jlpwc*4. U;wp.mat. Muk 11 ".
N-D 156, (Swre, Goserallsed) (NM 1613)

salize? VBW/UTMOUTICS./Theory of functions CLRD 1/1 PO - 777
AUTMOR SIXOTOISKI S.M. (rip-.epru)
TITLE Compactness of the clang*@ a of functions of
several variables. P
PUIODICAL Isvestija Akad.9auk 20. 611-622 (1956)
reviewed 5/1957
The author investigates the cospaotness of the classes 11 of
p
diffor*nttable functions of several variables which were already treated by
the author In other papers (K&t.Sbornik,n.Ser. ML 261-326 (1953)1 ibid. LOLL
243-266 (1956)). In the class being defined for arbitrary positive numbers .
r a metric Is IntroducedZin, the sense of this aetric of 5 a got
I P
2 of functions f to bounded by the oonotant M, thou this set for arbitrary
ri -O,)14pCae being
p r
defined in two-dimensional domains 2. (The definition of N( (0) is given
**go by Mol'ski In lateSbornik,aAer. ML 261-526 (19534 In the *Pon
domain 0 lot be given a piecewlso smooth curve Ir, where the smooth pieces have
a continuous cocoa& derivative and form with eashother the angles CK which
satisfy the Inequation 0 < K4 2 IK The function f belonging to (r) (a) Induces
a periodic (period , length of r itat funation
Lass 2(4) (as* Nat.5boralk,n.Stre 10
an r which can belong to a periodic a] P*
245-268 (1956))- Then the following theorems are valid*
I* If 0