SCIENTIFIC ABSTRACT RABINOVICH, YE. Z. - RABINOVICH, YU. YA.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001343820008-2
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: January 3, 2017
• Document Release Date: August 1, 2000
• Sequence Number: 8
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SOARYAN. Minak KarspetovIch, kand. takhn.nauk; ITANTSOT, Oleg Maksi-
movich, red.; SOLCHAVII. G.Ta., red.;
YBDOTOTA, I.G.. tekhn.red.
(Design and construction of steel tanks for petroleum
products] Prooktirovente i ao-orushonis stalInykh reserwwrov
dlis nefteproduktoy. Moskva, Oos.nauehno-takhn. Izd-vo neft.
i gorno-toplivnol lit-ry, 1961. 323 p. (NM 14:5)
(Petroleum products--Storep)

BEHIJN, 14eyer Abramovich; NAYDIN, Boris Abramovich; RABIIIGVICH, Ye.Z..,
red.; SOLMIX, Q.Ya.p ved. red.; FOLOSINA, tekhn. red.
[Repairing pumps and turbines of petroleum refineries] Remont na-
sosov i turbin neftepererabatyvaiushchik-h zavodov. Moskva, Gos.
nauchno-tekhn.izd-vo neftianoi i gorno-toplivnoi lit-ry, 1961. 227 p.
(MIRA 14:12)
(Petroleum refineries-Equipment and supplies)

RABI'v-'OVIGj red. PIAKSIE,
,j, 'jefir., Zinoviyevich; ARKIBOMEWSKIY, V.A.v
L.Yix. telhn. red.
(Ilydraulics] Gidravlika. lzd.3.p inpr. i perer. Vookva, Gos.
i7A.-vo fiziko-matem, lit-r7j 1961. 1.03 p. (1-aRA 15:2)
(I~Ydraullcs)

KLDENKO, Aleksandr Petrovich; RkBINaVICHj.-Ys.Z., vedushchiy red.;
VORONOVA,, V.V., tekbu.red.

id

YABI,CNSKIY, Vsevolod Sergeyevich; ISAYEV, Ivan Ananlyevich;
11 RARTPI(IVTrT4 Yp Z-- roci-! KRYII('14KnVA-'V.N-- tpkhn- rpd~
a

m
Yc. Z.
.

RABINOVICH. Te.Z., kandidat meditsinskikh nauk
Results of mass prophylactic surveys in industrial enterprises.
Akush. i jin. no-3:54-56 MY-4155. (KLRA 8:10)
1. Iz ginekologichaskogo otdelonlya (zav. Ye.Z.Rabinovich,
konsul'tant-prof. G.K.Cherepakhin) 12-Y bollaitsy g. Gor1kogo
(GENITALIA MALI, neoplasms,
prev. maso survoyB in indust. in Rissia)
(INDUSTRIAL HYGIINZ
in Russia, mass surveys for prev. of female genital
cancer)

Nola
RABINOVICH, Ys.Z., kand.med.nauk
Novocaine-penicillin lumbar,block in the treatmInt of acute
Inflammatory processes of the female genitalia Lwith sunmary in
InglIsh), Akush. I gin. 35 no.-1:79-81 Ja-F 159. (MIRA 12:2)
1. Is ginekologichookogo otdolenlya (zav. Ye.Z. Rabinovich)
12-y bolinitay g. Gorlkogo.
(GYNECOLOGICAL DISIASSS. ther.
procaine lumbar blockI-with penicillin (RUB))
(ANNSTMIA, REGIONAL, in vare dise
lumbar procaine block in gyn. dio., with
penicillin (Run))
(PXNICILTJN, thero Use,
gyne:dIs*, in lumbar procaine block (Rua))

KOCIIIN, Ilikolay Yevgrafovicli; KIBBLI, Illya Afnnaslyevich; ROZE, Nikolay
Vladimirovich; RABIIIOVICH,Ye.Z., redak-tor; GAVRILOV,S.S., tekhni-
cheskiy redaktor
Dsheoretical hydromechanical Teoreticheaknia gidromekhanika. lzd.
5-0e, ispr. i dop. Moskva, Gos.izd-vo tekhniko-teoret.lit- ry. Pt.l.
1955. 560 p. (KLRA 9:2)
(Hydromechanies)

I La
RUMOVICII, YE. Z. -- ------- . - -

HART,
Ch,aracteristics of the flow of molten metals near the crystalli-
zation temperature. Trudy NMI no-23:176-184 158. .
(NIRA 12: 1)

VILIKER, David Somenovich; RABINOVICH, Ye.Z., red.: KURASHOVA, N.Ya.,

7

run I WOK zuwrrA?ZON SOV/4199
Leningrad. Polit*1chnichaskiy institut
Sawromannyye dowtithenlys ltteynoao praiz-voiletva. trudy
mabvusovskay nAuchn*-takhn1chc9k*y konforents li (Recent
Ackleveamts In Pounding: Transactions of the S....tific
end Technical Conference of Schools of' Higher FAucation)
11a A 2 336 P. Irrata slip Inserted.
V
hgi , 1960
,
.
a printed.
twa
9,:
Ta. A. Xe'xhendzi. Doctor of Technical Selene
t
i
D
f
e:f
oc
or o
Tschni
94s.t V. 0. Girshov
Ch,
So lances, Professor, and r- P. Lebodev, Docent; RLn&&InS
e4. for Litaratuxa, on X**v7 Machine Building (Leningrad
Bovartment, MasUls) s To. P. Ylsumov* Inginser; Tech. Ids . I
To. ik.,DIu&ok&nskzjys, and L. V., Shchatinins.
PVRPD3Xi ?him book Is Intended for the tochnIcal'personnelL
or foundries. L lt mar be used by students -or the field.
COVINAaRv This collection of &I-tIdles discusses Problem# In
rmuskaing processes. Wividual articles treat the salting ..
at metals and their &11070, mechanization and automation
of costing processes, aspects Of the manufacture Or steel,
soot Irons and nonferrous metal OaStings. No personalities
OM mentioned. lt&Z*r*=*S aCCCW&nr LnAl wiftal articles.
0 W. 'and TAveattgatlon or
m9WINI- -Lsm= 4n. in C.tlni. . r ,
a 5: of .. ....
25
OfL Suspended Admixturve During
-CrWiffisatlOft 32
1"Inovieh. Tot 2. Mechanism of Molten Metal now
35

"-IL- C"Ung ?"parties and the selection or
Awatu
tiWnsthW of Pouring the Zh3 Type (Oxide) Pilm-Forstrig
"loys L 41
6. ast1novLeh. a. 3E Udraulics In dating Systems %6,
9. Lft!tWV' L- 0. Theor7 or Shrinkage Porosity 61
.11. ll=AAXMTMN in A7MXA'TQ?4 IN POWD3X0
'10. She _R, New Methods In Planning Casting Shops
-T
VIMOVI
I:
am nt 0 7T

11. T%qrenko!r,_Z._r- Development of the Manufacture of
-
-
-
Iblid
Rachtnery
1
n6 91
Card 319

-is

SOV/137-59-*7-14596
Translation from; Referativnyy zhurnal. Metallurgiya, 1959, Nr 7, P 56 (USSR)
AUTHOR;
TITIE-
PERIODICAL:
ABSTRACT:
Card 1/2
Rabinovich. Ye.Z
Peculiarities in the Flow,of Molten Metals Near Crystallization
Temperatures
Tr. Moak. neft. in-t, 1958, Nr 23, pp 176-184
It was stated that molteh metals near the solldifleatlon point were
anormal non-Newton liquids. They were not subjected to the law of
Internal friction, and approached the Shvedov-Blnkhgm law. They are
characterized by a'hew,physical property - the Initlal shear stress
depending on the temperature of the molten metal. For molten metals
near thesolidification point the shape of discharge characteristics
changes. In this case they do not pass through the origin, as in the
case of Newton liquids, but through "Ziere points.. The location of
"zero" points on.the ordinate axis is determined by the magnitude of
the initial pressure; it changes depending on the temperatur 8 of the
liquid, (Graphs are presented for Wood's alloy at 97 and 90 Cv paraffin
and water.) In zones.of high temperatures molten metals behave like

21790
S/123/61/000/004/0,12/027
AOO4/A1O4
AUTHOR~. Rabinovich, Ye. Z.
TITLE: On the mechanism of motion of molten metals
P ODICAL: Rex'era-.Ivnyy zhurnal, Mashinostroyeniye, no. 4,, 1961, 3, abstract
4G21. (V sb, "Sovrem. dostizh. liteyn. proiz-va". Moscow-Leningrad,
Mashgiz, 1960Y 35-41)
TEXT: The author investigates the physical basis of tbe.motion of molten
metals. In -.he superheated state~metals move similar to the Newtonian fluids,~
while at reduced temperatures near IV-he crystallization point they move similar
to anomalous Newtonian fluids for which the following dependence is jus.tified:~
To + ,AJ?,, where r6* is the full friction stress, T' = initial shear stress,
0
V A-- viscosi
which, after beirg attained, puts the fluid into motion, ty is
the velocity gradien-r,, At temperatures exceeding considerably the so dir cation
temperature, the melt does not possess any static shear stress (To = 0) . At
temperatures near the solidification temperature the static shear stress grows
abruptly. According to hydraulic data an initial pressure.of H - O'GL is
0 Id
necessary for -the flowing of a fluid of specific gravity along a horizontal
Card 112

21790
S112316110001002110121027
On the mechanism of motion of molten metals A004/A104
cylindrical pipeline of diameter d and length L. If H Ho, the fluid will moire. As a result of theinvestigations
carried out J-he problem of the form of delivery characteristics has been
elucidated.
B. Pushin
[Abstractor's note., Complete translation]
Card 2/2

BUKLER, Teniamin Osherovich; TALTAYNT, Ivan Mikitich,
(Radio-Apparatus and supplies)

pun i Booic mmoruTioN 1184
Bukler, Veniamin Osherovich, ValAy", Ivan Nikitich (Decessed), Uzarinov,
~ile~vich, Angelevich, Naum Ellkhanovich,
Yurly Mikhaylovich,
Begulifovka radioappexatury (Adjustment of FdLdio Communications Equipment)
Moscow, Gosenergoizdat, 1957. 375 p. 20,000 copies printed.
Ed.: Zaukov, V.A.; Tech. ZdB.: Soboleva, Te.M. and Zabrodina, A.A.
PURPOSE: The book Is a textbook for students of technical and vocational schools.
It my also be wed byL the radio Industry,for on-the-job L training of workers as
factory technicians engaged in adjusting and tuning radio equipment.
COVERAGE: The authors provide basieLinformation on the adjustment and tuning of
radio co=mnications equipment. They describe methods of adjusting and tuning
power supply circuits, superheterodyne receivers,,television setsY tranwitters.,
radar equipment, and other,devices. They also describe the testing of radio
couv=ications equIpment. According to the authors the book represents the
first systematic account of techniques employed in adjusting and tunIng various
types of equipment under laboratory conditions and during lot- and mass product-
ion. It is stated tbat the book is based an the program for the radio-tech-,
Card 1/ 6

Adjustment of Radio Commnications (Cont.) 1184
nician's course adopted in schools of the State IgLbor force. It is assumed
that the reader is acquainted with the fundamentals of electricity and radio.
Chapters 1,3,8,10 and Section 4 of Chapter 4 were written by B.O. BukI r;L~
Chapter 6 and Sections 1.2 and 5 of Mapter 4 were written by I.N. Bal",r;
Chapter 9 by YU.M. NLzarlwv; Chapter 2 by YU-I. Fabinovich; ChapUrs 5 and 7
by N.N. Angelevich; and Section,
.; of Chapter *4 by I. N. Vklyayev and Mt. I.
Rabinovich. The authors thank V.A. Volgov for reviewing the manuscript and
V.A. ZhAkov for editing the text. There are 38 references, all Soviet.
TRBM OF CONMN
Ch. 1. Introduction 7
1. Iffect of size*tolerances of radio components and their electrical
paramieterson the amunt of adjustment work to be performed 7
2. Basic definitions of adjustment-operations 8
3. Qpalifications required of factory technicians 10
Ch. 2. NL-asuring Instr nts Used in TWIng Pladio, Equipment 12
1. Purpose and characteristics of md1o measurement
2. Test oscillators used in radio measurement
3. Thstruments for measuring voltaws and currents 31
Card 2/ 6

Adjustment of Radio Communications (Cont.) 3284
4. Wasumment of . radio circuit parameters 38
Catawde-ray oscillograph
6. Freqwncy measurement 62
7- PiPecial. measuring instruments 71-:
Ch. 3. flegmlation of Ptjwer Sources 75
1. General Information 75
2. Waswvrent of.pulse voltages and obtaining the load ebaractaftme
Rectifiers with vacuum-tube and tyts-tube volteas sUbIlizer alresits
4. Adjustivent, of rectifiers vith a vacuum-tUbe voltage stablIlger
circuit 87
5. Adjustment of fLerroresonant voltage stabilizer circuits
Ch. 4. Adjustment and MM-Eng of Superheterodyne Bruadclast Ibeelvers 1012
I. Block diagram and Its, components IOR'.
2. lagram of a MMITerbeter-OdYne receiver
Circuit d 109
3. .
Adjustment and.tuning of individual stages
4., Wustrial adjustment and tuning of sVerbeterodym receivers
during lot- and mass production M
5. Selective checking of basic parameters of receivers
Card 316

Adjustment of Radio Communications (Coat.) n84
Ch. 5. Adjustment and Tuning of a Television Receiver 16o.
1. ftnufteturing and constructional feat&es of television recelvors 160
2. Characteristics of a television signal 161
3. Block diagram and its componeants 162
4. Adjuattent and tuning of the radio-freqtzency stage 174
5- Checking and tuning kt talevision receiver 177
Ch. 6. Adjustment and Tuning of Individual Btages of Radar lbeeivers
1. General information on the operating principle of a radar Y*ceivar IN
2~ TUning of 14deo-amplifier stages 191
3. Toming of Mitectors and limiters 201
4. Tuning the intermediate-frecpiency amplifier 203
Ch- 7- Adjustment and Tuning of Fladio Transmitters 211
1. Transidtter block-diagram and Its components 211
2. ftaLng the master oscillator 214
3. Ttming the buffer stage 222
4 Timing the Voltage - and power-amplifier *Ages 225~
5: Checking and timing the entire transmitter 230
Card V6

Adjustment of Radio Communications (Cont.) U84
Ch 8 Adjustment I and Tuning of Fladar' Tranadtter Components
1. Pmetion of imdividual, components
2. Hadar parameters to be adjusted and checked. Basic tyjps of
control and hwasurizg .1mipment.
3. Fkdar modulator
4. Napetron oscillators
5. Waveguides
Ch. 9. Indicators and Their Adjustment
1 General Aspects 275
2. Basic types of indicators 276
3. Pk3wer supply circuits. Fbeusing and deflecting systems of
cathode-ray tubes 207
4. RwW sweep circuits 20
5. Flange marker circuits 316
6. Azivu+.h sweep circuits 320
7. Working with basic Instruments in adjusting the Indicator Aevices 332
Ch. 10. Testing of Radio Equipment 339
1. Test conditions and checking of radio eTApvmnt operation In
special test laboratories "9
2. Equipment for climatic testing 341
3- Equipment for special testing 345
Card 5/6

AUTHOR: Shifrin, K.S. and Rabinovich, YU.I. 49-12-?/16
TITLE: Spectral Indicatrices of Large r Drops and Spectral
Polarisation of Hainbovis (Spektrallnve indikatrisy krupnykh
kapel' vody i spektrallnaya polyarizatsiya radug)
PERIODICAL: Izvestiya Akademii vauk SSSR, Seriya Geofizicheskaya,
1957, vo.12, pp. 1491 - 1506 (USSR).
ABSTRACT; Applying formulae of geometrical optics and taking into.
consideration the m(h) characteristics for liquid water
(m - refractive coefficient), the spectral indicatrices of
scattering of light on'large water drops are calculated.for that
part of the spectrum where the absorption by water can be dis-.
regarded (near ultra-violet, visible and near infra-red ranges).
The polarisation of coloured arcs(j* rainbows is calculated.
The tables of the indicatrices for various values of n
are calculated in way as lp - earlier paper of
.in an
e sr . -m o d
one of the authorsttNef 21; for each value ofn-,f-i r ers of
scattering are caldulated and, thereby, about 99.8% of the-
light scattered by a drop is taken into consideration. Indica-
trices were calcul8ted for scattler;ng angles 0 = 0.11 2. and 5
and for steps of 5 each up to 180 separately for.the s and
p components. The results of the calculations are entered
(;ardl/3 in Table 6, pp. 1494 1502. The calculations carried out in

WK_
49-12-?/16
Spectral Indicatrices of Large Water Drops and Spectral Polarisation
of Rainbows.
the paper enable evaluating the accuracy with which the depen-.
dence of n on X can be disregarded inside a given spectral.
range, i.e. to what extent the drop can be considered as
being "grey". Usually, this is done for the entire visible,
range and, generally, for the entire here considered spectral
range. For water drops, the magnitude of n can be assumed
constant and equalling 1.3300 for the entire range. In cal-
culating the intensity according to the formulae of geom*rical
optics, the model of the "grey" drop results in an error which,
for most angles, does not exceed _~ 10% and, therefore, taking
into consideration change of n as a function of X? calculated
according to accurate diffraction formulae, the error will be
of about the same magnitude. This is important since all the
tabulation of accurate formulae for scattering on a drop is
made for n = 1.3300 and is usually applied for calcultions
within a wide range of the spectrum in which n cannot be
considered constant. The here described calculations can also
be applied for any large spherical particles for which the
relative refraction coefficient is within the range 1.3200 to
uard2/3 1.3450. There are 4 figures, ? tables and 2 Slavic references.

4-11 1 L-
Is. r.
2 11
83 rr
8v
R A-M Ir
ft.
29
it
'w%; zi

BUIMM, Venia n Osherovich-,, RABINOVICH, Yurly Izrailevich; ANGEUVICH,
N.B.,Inzh.. retsenzent; GIRSHKAN, G.Kh., inzhretsenzent;
LOKONOSOV, S.Ya., inzh., retsenzent; RUBINCHIE, U.K., inzh..
retsenzent; YRDOSEM, D.N., red.; ZHITNIKOVA, O.S.. tekha.red.
[Asoembling of radio equipment] Sborka radioapparatury. Koskva,
Gos.energ.izd-vo. 1960. 347 P. (KIRA 13:12)
(Radio--Equipment and supplieo)
------------

10
n a
14
T f'
3,1
Av
"i
j'i 1; 4 N

S/16 62/088766/059/093
D228YD304
AJU ca Rabinovich, Yu. I.
I T LE zhe dilution factor in the
Vertical distribution o U
I sphere
lower tropo
TIE" TO.)'C-L: Referativnyy ,hurnal, Geofizika,,no. 6, 1962, 27, ab-~-
stract 6B188 (V sb. Aktinometriya i atmosfern. optika,
Gidrometeoizdat, 19061, 146-149)
TEXT: T"'he dilution factor was determined from the data of solar,,
radiation measureaen-cs at different leveLrabove,the ground surface
i.n zeveral s-oec-zrai areas. Measuremen's were con-dUcted by means of
nirovided with interference filters with maximum
ss-; ons, a- 400, 500, 600, 700 and
900 Data are cited
abou-. -~Iia change in ~.he aerosol dilution faczor with aititude near
;2he dependence of the aerosol dilution factor on the.
T 'he
alTi-cude is cescribed fairly well by an exponential formula o 4,
type: b = b e:cD(- Sz). Diver-ences between the experimental and the
0
-calcula-.ed factors do not exceed 15 20%. Aerosol dilution factors
Card 1/2

37-065
I
S/1 69/62j 006/059/093
'Ver-~, ca-L d- stribution of
D228/D304
n-ave a com,)lex relation to the wave-length; on an average they di-
-,-nish with increasing wave-len-th, except for the area in. the vi-
1,11,11-cy of 950 ir~'- where there are wacer-vapor bands. Abstracter's..
note: Complete tranalation.-7
r - d

S/169/61/0001/bIl/0,37/06-1
D228/D304
AUTHOR; Rabinovich, Yu,Iz
TITLE-. VPr-,.1---a1 distrib~iiion of aerosol weakening in the
ti~upoiqr)here
PERIODICAL: Referativnyy zhurnal, Geofizika~ no. 11, 11961, 27,
abstract 11B194 (Tr. Gl, geofiz. obse.-v., no.:
196-1, 18 - 25)
TEXT: The results of aircraft measurements of the vertical distri-,-
bution of the spectral aerosol coefficients of weakening !o a
height of about 6UOO - 7000 m in the 0.4 - 1 0 p region are exam-1-
ned. The possibility of approximating experimental data Lc ein expo-..
nential relationship is appraisedo The spectral relations af the
coefficient of weakening are considered under dif'ferent
[Abstractor's note: Complete translationi.
k-oard 1/1

31258
S/53 61/000/118/003/0-04
D.218YD302
AUTHORS: Aabinox-Lr~ ~_I.,.and,Guseva, L. No
TITLE:, ~Experimental studies of the spectral transparency of
the atmosphere
SOURCE: Leningrad. Glavnaya geofizicheakaya observatoriya.
Trudy. No.. 118, 1961. Issledovaniya radia'tsionnykh
protsessov, 69-76
TEXT: The authors describe st udies of the spectral transparency of
the atmosphere, whose aim was to obtain more accurate average va.-
lues for the transparency coefficient in the visible part of the
spectrum for different geographical locations and times of year. A
further ai,-a was to obtain correlations between the spectral trans-
parency coefficients and the overall actinometric measurements. The
apparatus employed in the measurements is illustrated schematically
in Fig. 1. The emf produced in.the actinometer by the incident ra-
diation gives rise to the current ii in the curcuit I and this is
Card

i on Tme Arciosure) a I
derived,, aid the. drift
Card!
13
M OqUSToIO13B 01 InVOWUVW.
rate ia defined by-
(Af
el
L 4 95-65
.97
ACCEMON NRt AP50IM94

I I jig-
130

2
ACC NRt AP60023'19 SOURCE COLE: UR/0373/65/000/006/0049/0M

e1 7
AUTHORSt Klimov, D. M, (Moscow); ~~binqyich
, Yu. I. (Moscow)
~
,
ORG: none
A3
4
TITLE: On kinematic errors of inertial navigation systems L4
SOURCE: ANISSSR. Izvestiya. Mekhanika,, no 6 1965, 49-52
TOPIC TAGSt inertial navigation, error analysis, inertial guidance,gyroseopop
stabilized platform

ABSTRACT: The motion of an orthogonal trihedron in considered,along whose axes
gauges are placed to measure angular velocity projections.- The analysis consists of
~
estimating the errors existingLin such a measurement. The coordinates of the trl-
F5;~'_hedron are giv
b_v relative to a moving set of coordinates oil L'-
::,
Fig. 1). The angles (P and are def3mcd by

fp* = p Cos X; + r
sin
.
X* = q + (p si n X - r Cos x) tg V
A'= ~r Cos X - p sin 2) aft 4p~ L
ojeetions OfLthe t
r are the pr r1hedron angular velocities on the
where p
q
,
,
axes. The errors in p, q, r are assumed to be ~11, given by
Card 113

tulas for two 1~ftds of i
ad. Nauk SSSR (Z!.S.)
3stantially those usually
l
and its inverse and are 01
infinity [cf. A. Pfluger,
(1935)]. By the intro,-~
ition, howeveri the two
a ncw relationship and,
nique is included. The
in Cauchy's theorem.
i follows. If f(z) is regu-
or Izi >p~ and sati5fi
e first idnd of Laplace
>p) defines g(s) in the
contour extends to cc
aialytic continuation of i
by rotating this radius
tW type ~near, infinity.,
!nt branches of g(z) for,
)z-1fdr, where the con..
i extends to infinity:in
'first form'of tran5form"
,
orde f in
r o integration

ere results the in
tegral
which, from the calculus
- from 27rif(--;x) by a6`
functions envisaged the
1i inverse of the ~cond
in,tegrar function. Con-
inverse of the first ii, the
nore complicated. Con-:.
dirstort the contour into
6>0 11)..
I> 0 laize, sma
ise,the intekral definin
9
infinity, in the diTection
bef? prnoeeda much. a$
ion between the 106
convex- envelope Tof the
sults and methods are
A. J. Macinlyre,
At-
q

xv? _L
r
R ibinovia Yu L .4 proof ot the closure oftertain -singular
kad; Nauk SSSR (N,S.) 61, 2i35-_2'1_'8__'(j NOOL. the J. and the J dJ.1dv- are- 0~1 - for
"u's.
ou-1.49-higher than--
Under consideration. are kernels K(.v, y) defined 'In that of J,, then K(.v, is closl~4'in thoclass of fjiv-tlons
yZib) and d
ving a Lipschitz , crivattv.c.
'd f
of:--.form Ix - y I -II(X, *Y), IX-YI* log jX~YIII(Xi Y), Theic results-are.proved with,the. it 0 the following
X-Y (1 '52)
A~,IMX-YIOII(Xi Y_), Ox, Y)IX-Y10 log Ix YIIA-V, Y),
'where A(x,y)-I.fcr yx; 11 aitid and']] is bounded, then
its partial derivatives of nil nrders are continuous in A. Let
DI aqOgl. A39uming that DIK > 0 (in 4) and W(X, y)u(y)dy= D",K-Cu(y)-U(X)Idy
DMI JQx, y)dy < 0
+u(x)DO K(x, y)dy,
(for the author proves the following. (1) It a,similar. (but more complex) formula holds. when is has..
ID"KI