SCIENTIFIC ABSTRACT SKORNYAKOV, G.P. - SKORNYAKOV, N.N.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001651110011-4
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: July 13, 2001
• Sequence Number: 11
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

BURAVLEV, Yuriy Matveyevich; KGRITSKIY, V.G., retsenzent; IVANOVA,
T.F., retsenzent; $~ORgAKOV, G.P., red.; KRYZHOVA, M.L.,
red. izd-va; MATLYUK, R.M.-,.- t.e'~Im. red.
(Effect of structure on the results of the 'ispectrum analysis
of alloys] Vliianie struktury na rezul'taty spektraLlInogo
analiza splavov. Mosk-ra, Metallurgizdat, 1963. 151 P.
(MIRA 16:8)
(Alloys--Metallography) (Spectrum analysis)

SKORNYAKOV G.P.
Fourth Conference on Spectroscopy. Opt. i spektr. 15 n0-1:144
Jl 163, (MIRA 16:8)
(No subject headings)
4:
f

AUTHOR: Eychis, A.Yu.; Skornyakov, G.P.
TITLE: Optical properties of gallium in the visible region of the spectrum
SOURCE: Optika i spektroskopiya, v.16, no.1, 1964, 159-161
TOPIC TAGS: gallium, gallium mirror, solid gallium, refractive index, absorption,
reflection, photoconductivity
ABSTRACT: Among the metals, pure galiium is characterized by high specular luster
in both the solid and liquid states, Moreover, gallium mirrors are not significant-
ly impaired as regards reflecting properties as a result of exposure to air. Despita
the obvious desirability of this metal for mirrors, the optical properties of gal-
lium have not been adequately studied: there have been only a few measurements.of
some optical properties in the solid state and some more detailed measurements in
the liquid state (J,Nathanson,Phys.Rev.49,887,1936; L.G.Schulz,J.Opt.Soc.Amer.47,
64,1957). Accordingly, in the present work there were measured the optical charac-
teristics of gallium in the form of a bulk polycrystalline mirror. The measurements
were carried out by the method of J.R.Beattie (Phil.Mag.46,235,1955) in the spectml
C.,d 14'1-_

ACC.NR: AP4011501
range from 4000 to 8000 X. The uverage results for five series of measurements of
the index of refraction n, the coefficient of absorption k and the coefficient of
reflection R are tabulated and shown in Fig.1 of the Enclosure. The data for the
solid gallium are compared with the results of Nathanson and Schulz for the liquid
metal; significant differences are noted. Also investigated was the photoconducti-
vity as a function of wavelength. The results for the solid specimen is shown by
curve I in Fig.2 of the Enclosure. Curve 2 in this figure is based on the liquid
state data of Schulz. The difference between the behaviors of the photoconductivity
and reflection as a function of wavelength in the solid and liquid states is attri-
buted to occurrence of interband quantum transitions, made possible by the energy
band structure in the crystalline state. Orig.art.has: 2 figures and I table.
ASSOCIATION: none
SU13MIl 15Apr63 DATE ACQ: 14Feb64 ENCL: 01
SUB CODE: PH NR W SOV: 002 OTMR: 008
Cad" iv,

0 KfV )~~ K, 0 V
SUBJECT USSR PHYSICS CARD 1 / 2 PA - 1872
AUTHOR SKORNJAKOV,G.V., TER-MARTIROSJAN,K.A.
TITLE The Three-Body Problem in the Case of Forces of Short Range.
The Scattering of Neutrons of Low Energy by Deuterons.
PERIODICAL &rn.eksp i teor.fia,31,fa8C.5, 775-790 (1956)
Issued: ; / 1957
Also in connection with the problem 6f the mction of three nucleons with low
energy E (if the characteristic dimensions of the system which are determined
by the length ~t - t / rM_E surpass the effective radius r 0 of forces) it is
possible to use a similar development in series according to powers of r 0 as
is used in the problem of the motion of two nucleons. There now follows
the application of the zero-th approximation of this decomposition which
corresponds to the case r ---> 0 (i.e. the theory by BETHE and PEIERLE for two
nucleons) on the scattering of neutrons of 13w energ (E n 4 20 MeV) by deu-
terons. The bound state of three nucleons (H - and H -nuclei) is not in-
vestigated here. 4
In the approximation r -o 0 the wave function I (rl, r of the system
0 -4 -4 2 3
of three nucleona at Qik w Ir i-rkl---" 0(i,k - 1,2,3) satisfies the boundary con-
dition (d ln(Q,T)/dQ ~ Q 0 0 W .a. The problem is here reduced to the
solution of an integral equation for a function depending on three variables.
(In the case of states with a certain moment the function depends only on
Thu e functiOll 01 I'liv -d - - be solvw-
aRREV's fun, - +.'np WaV - I ___j nilption can

vu, I
SUBJECT USSR PHYSICS CARD 1 2 PA - 1884
AUTHOR SKORNJAKOV,G.V.
TITLE The Three-Body Problem with Forces with Short Range. II.
PERIODICAL Zurn.eksp.i teor.fis,jl,fa8C.6,1046-1054 (1956)
Issued: 1 / 1957
The present work describes an iteration method for the determination of the
wave function and the binding energy of a system of three bodies in the case
of forces with short range. G.V.SKORNJAKOV and K.A.TER-MARTROSJAN (Dokl.Akad.
Nauk,LO-6,425 (1956)) obtained an integral equation for the FOURIER-transformed
wave function of three homogeneous bodies which is here explicitly written
down for the bound state. If the potential V(r) has an infinite effective
radius r it is sufficient for the determination of the wave function in the
0
entire space to know the eigenfunction F(1, 4) at r 4 ro. This makes it pos-
sible to use the iteration method for the determination of the eigenfunction
F and the eigenvalue a if the characteristic dimensions of the system exceed
the effective radius r0 of the forces considerably. The aforementioned inte-
gral equation can, like in the perturbation theory, be solved by the method of
successive approximation. Already when determining the zero-th approximation
of the wave function and of the eigenvalue r0 must be assumed to be finite.
Every further approximation is obtained from the preceding one by multiple
integration. In the case of a0r0x
n
1
2
a
1
Let a labyrinth S be given without infinitely descending chains
and a set A with the zero element 0. To every s C=S there corresponds
a k-digit operation f
over A, where k is the number of elements
s
of IC(s). The arguments of f
have to correspond biuniquely to the
S
elements of T (s) and 0 has to be an idempotent of this operation.
The union of S,A and the system F of the operations f
is called
8
a nerve system (S,A,F). If A consists of two elements, if all f
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Nerve Systems
SOV/42-13-3-21/41
are finite-digit and are defined according to special rules,
then one obtains the nerve net due to Kleene [Ref 2j. For
nerve systems introduced in this manner the author describes
the notions of the isomorphy and equivalence and gives some
theorems, e.g. sufficient conditions for the isomorphy of two
equivalent verve systems, conditions for the existence of a
certain canonic form etc. The results of Kleene on the
representation of events can be transferred to nerve systems
without loops.
There are 2 American references.
Card 2/2

U7. -2
:'_'1:orn, al:ov, L.A. Oloscou)
Y /3
TI TLE: i.onassociative Free T-3ums of Bodies (1ieassotsi,~~tJ=_'%, e :370-
ZY -
bod'nyye'2-sur_ny tel)
PERIODICAL: !,,'E~tematicheskiy 3bornik, 19,58, Vol 44, Nr 3, p7, 29't-312 (USSR)
ABSTI-Lllu"2- In a foritier paper the author [Ref 51 considered rin.r-s in which
each of the equatinns ax = b end ya = b, a / 0 possesses a
unicue solution. These rin,-s were dmoted as"bodies". There
the notion of a free T-extension 77as defined. In the present
,paper ~ theory of nonassociative free T-sums of bodies is re-
voloped.
Theorem: Let A be an al~;cbra ~uithout zero divisors over the
body P, 1-at B be -. closed subaloebra of A. The subbody ~&
%--Mch is -enerated hnr the algebra B in the nonasSociative
free T-extensior Ot of algebra A ard which is an al-ebre. over
P, J's to tho nonnssociative free T-extension of
the alt;cbra 11. Ifere it is B.
Definition- As tile nonassociative T-sum of the bodies
A,,e the author denotes the nonasscciati;-e free T-extenslon Ot
of the nonassociative free sum of these bodies, in siGns
"ard 1/3
C

.onassociative Tree of ~7odies 39-4 17 - 17 -4 /13
A or for a f ini te number of A Is: Oy = k, XA,,
For nona-csociati-,re frec, sums the si-ris 57 * and 4: nle anT-7-*Gd.
FrODerties of nonassocietire free T-suns:
I. '.he body (I is a nonasgocia, tfve freo T-sum of the, bodie3
A,,(, if and only if a) U A,~, C: 0-' b) 1-,o proper subbody of
contains the set JA, c) Let ~.~ be T-homomorphisms of
the bcdies A,~ into the body L. Then there exists a T,.- homo-
0 of Ot in K, so that G(x) = ~,.(x) for all x r= Aj~
2. If A,4-alE;ebras are without zero divisors and is a non.-
aSSOC'at4Ve free T-extenaion of the algebra A Aj,
it is 1"Fl,'ere is P. nonassociative fr-ae T-ex-
tension of the alaebra Ak
TA yT Aj
and A then it is
I f Cr = z , u
Besides of t"hese th-ree 'the author presents fou-
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1:onassociative Free T-',uns of Bodies 39-44
other ones.
Thcorem: Let L;,'- be a nonassociative free T-sum of the borj4eS
Ot d, and of a certain nonassociative freo body F. Each r,,ub-
body of Or is a nonassociative free T-sum of the ePk
U!, ~y and nerhaps of a further nonassociative free bod-~,.
'1'hcorem: A subbod~r of a nonassociative free bod-1., is itself L,
nonassociative free body.
Three further theorems deal with T-sums with finitely many ;re-
nerators. Finally the author considers invariant properties.
Theorem: In order that two nonassociative free bodies 06 and
,)6- be isomorphic, it is necessary and sufficient that the,
possess equipotent systems of free generators. There are 6
references, 5 of which are Soviet, and 1 French.
SUBIELITTED: ~.7' y ~
23, 1956
AVAILABLE: Librar~ of ConGress
1. [Ungs - i-iathe:ii--tical ar,31ysis
Card 3/3

I Z- - d-,
C
PHASE I BOOK EXPLOITATION SOV/4279
Problemy kibernetiki., vyp. v (Problems of Cybernetics, no. 4) Moscow,
Fizmatgiz, 1960. 257 P. 10,000 copies printed.
Commilers: G.V. Vakalovska-ya, T.L. Gavrilova, B.Yu. Pi1tchak, Ya.I. Starobogatov,
V.S. Shtarkman, and S.V. Yablonskiy; Eds.: G.V. Vakulovskaya., Ya.I. Starobogatov..
and B.I. Finikov; Tech. Ed.: S.N. Akhlamov; Chief Ed.: A.A. Lyapunov.
PURPOSE: This book is intended for mathematicians and scientists interested in the
problems of cybernetics and systems control.
COVERAGE: The book is a collection of articles on cybernetics, the theory of control
systems) information theory, prograsmingp computers, control processes in living
organisms.. and mathematical linguistics. The author thanks the following persons
for their assistance: F. Ya. Vetukhnovskiyp A.P. Yershov, V.M. Zolotarev, V.K.
Korobkov, V.I. Levenshteyn., O.B. Lupanov, B,A, Sevastlyanov., and M.L, Tsetlin.
References accompany several of the articles.
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Problems of Cybernetics., no. 4 SOV/4279
TABLE 01' CONTENTS:
From the Editor 4
1. G12flfftAL PROBLEMS
Lupanov, O.B. On the Asymptotic Values of the Numbers of Graphs
and Networks With n Terminals 5
Skornyakov, L.A. On One Class of Automatons (Nervous systems) 23
II. THEM OF CONTROL SYSTM
Savinov, G.V. Electric Modeling of Homeostatic Systems 37
Madrov, V.I. On the Problem of Determining the Breakdown Probability
in Unilinear Waiting Line Systems of the Mixed Type 45
C ard 2/5

Problems of Cybernetics, no. 4 SOV/4279
III. THEORY OF INFORKATION
Kharkevichip A.A. The Value of Information 53
IV. PFXGRAMKOW
Arsentlyeva., N.G. On Some Transformations of Programing Schemes 59
Fedoseyev, V.A. Methods of Automating Programing on Computers 69
Korolyuk., V.S. On the Concept of an Address Algorithm 95
V. CONFUTEte
Kartsev,, M.A. Logical Methods of Accelerating Multiplication in
Digital Computers 13.1
Card 3/5

Problems of Cyberneticsv no. 4 807/4279
VI. CONML PROMSES IN LIVING ORQANISM
Shmallgauzen, I.I. Bases of the Evolutionary Process in the
Light of Cybernetics ip-1
Malinovskiy, A.A. Types of Biological Control Systems and
Their Adaptive Value 151
Wapalkov., A.V. Some Principles of Brain Operation
VII. PROM= OF HATEDWICAL LINGUISTICS
183
Frumkina, R.M. Some Facts About the Distribution of Hultiroot Verb
Forms in Connection With the Problem of Composing a Dictionary of
Roots for Machine Translation 197
Card 4/5

Problems of Cybernetics, no. 4
SOV/4279
Kula,gina, O.S. On Machine Translation From French Into Russian.
II. Algorithm for Translation From French Into Russian 207
AVAILAM: Library of Congress
Card 5/5 AC/pw/MaS
10-3-6o

SKORITYAKOV. L.A.-
i
Modules with an autodual structure of submodules. Sib. mat. zhur.
1 no.2:238-241 J1-Ag 160. (MIn 13-.12)
(Algebra, Linear)

R02WFEL'D, B.A., SKORNYAKOV, I"A.
Colloguium on algebraical and topological foundations of geom-
6try held at Utrechts Usp* mat. nauk 15 no.2:237-244 mr-Ap 16o.
(MIRA 13:9)
(Geometry)

88329
S/038/60/024/004/005/01OXX
X.S400 C 111/ C 333
AUTHOR: Skornyakov, L. A.
TITLE: ir-o-jective Mappings of Modules
PERIODICAL: Izvestiya Akademii nauk SSSR, Seriya matematicheskaya,
1960, Vol. 24, No. 4, PP- 511-520
TEXT: A module is defined to be a left unitary module over an
associative ring with unit. The element a of the F-module A is
called free, if Aa = 0 is possible only for X= 0. The F-module
is called admissible, if
M 1. For arbitrary x, Y) Z 6 A there exists a free element w 6- A
such that (Fx + Fy + Fz) n Fw = 0.
M 2. If t G A, x, y, u are free elements from A and Fx 1,Fy, Fu [) Ft
* 0, then there exists a free element w such that
Fw n F. = Fw n FY = Fw n Fu = Fw n Ft = 0.
Let L(A) denote the structure of the submodules of the module A,
which contains all submodules admitting a finite system of
generators. The isomorphic mapping S --~ S4of a structure L(A) on
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S/038~68W4/004/005/010XX
C 111 C 333
Projective Mappings of Modules
a structure L(B) is called projective mappinG of the F-module A
on the G-module B, if
P 1. to every a A there exists a b B so that (Fa)* Gb.
P 2. to every b B there exists an a A so that (Fa)*' Gb~
P 3. there exists a free element u~~ A such that (Fu)* = Gul,
where ul is free.
A pair of isomophic mappings of the ring P on the iing G
and a --i a 6,
of the group A on the group B is denoted as semi-
linear transformation of the F-module A on the G-module B, if
6- 6- r, -
(cW- a)= 1114 ~;~ for arbitrary F, a C'-- A. The semilinear
transformation induces a projective mapping of A on B, where
L(A) and L(B) consist of all submodules of the corresponding
modules.
Theorem: Let F be an associative rin- with unit 1 in which from
0
-
I it follows that 1 holds for a certain ~ E~- F.
Every projective mapping S S of the admissible F-module A
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S/038/60/024/004/005/01OXX
C 111/ C 333
Projective Mappings of Modules
on a G-module 3 is then induced by a semilinear transformation.
The theorem generalizes the first fundamental law of projective
geometry (see (Ref.1)) and the theorem on the structure
isomorphisms of a belian groups (see (Ref.2)).
The proof essentially follows the scheme of (Ref.1).
There are 6 references: 3 Soviet and 3 American.
FAbstracter's note: (Ref.1) is the book of R. Baer: Linear Algebra
and Projective Geometry3.
PRESENTED: by A. J. Malltsev, Academician
SUBMITTED: MaY 7, 1959
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/6,/600
6907
S/020/60/131/04/11/073
AUTHOR: Skornyakov, L.A.
. .-------------- J~
TITLE: ructural Isomorphism of Moduli Over Regular Rings
PERIODICAL: Doklady Akademii nauk SSSR, 1960, Vol.131, No.4, pp.756-757.
TEXT: Let Fn be a free unitary modulus with n generators over the regular
ring F. LetoQF n) be the Dedekind structure which is generated by the sub-
moduli of Fn with finitely many generators (compare (Ref.3)).
Theorem 2: Let F and G be regular rings, n?~3; let the structure QF n ) be
complete and continuous. Then every isomorphism 9 of the structure '(Pn)
onto the structure 1-(G n) is induced by a semilinear mapping a of the
modulus Fn onto the modulus G n' i.e. 0(S) ={G7(x);xr.Sjfor every S E: r (Pn)
(rn
Theorem 3: Let F and G be regular rings; let Z . ) be complete and continuous;
Let 9 be an isomorphism of jl_(F n) onto Z (Gm); 3