SCIENTIFIC ABSTRACT VOROBYEV, N.N. - VOROBYEV, P.

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CIA-RDP86-00513R001860820015-0
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December 31, 1967
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SCIENTIFIC ABSTRACT
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VOROBIYEV..,Nikol4y'Nikolayevich; KOPYIDVA, A.N.., red.; AKSLWROD, I.Sh., tekhn. red. (Divisibility'teits] Priznaki delimosti. Moskva, Fimatgiz, 1963. 10 P. (Forliarme lektsii po matematike., no.39) (MIRA 17:~2) VOROBIYEVO N. M., Dr. plWs-Math Sci - (diss) "Randomized common actions in end Pl&Ys,**Lebingradx 19600 13 pp) 260 cop. (Mathematics Institute im Vo A. Steklovj Departffent of Applied Mathematics. AS USSR) (KL,, 42-60, 110) ABRAMOV, S.A., inshener; q](Q8w'aV- inshener; GIAGOUTO N.M., doktor tekhnichaskikh n&ui~_j_r_o_f`e`s`saor,- HUMIS. P.M.. inshener; XWUM. P.S., kandidat tekhaichaskikh nauk; RISKIN, I.T., lushaner; YMYAWKIY, N.A.,-doktor tekhnicheskikh nauk, professor Selecting types of diesels for projected diesel locomotives. Vest. TSUI1 HPS 16 no.2:11-18 Nr '57. (KIRA 10:4) -(Diesel locomotives). VOROBIYEV, U.N. [Fobonaccito numbers] Chisla Fibonachchl. -Moskva# Goso lzd-,vo tokbniko-tcoret.lit-ry., 1951. 46 p. (Populiarrqe lektgil po zA- tematike 9 no,6) (HTRA 14:11) (Numbers, Theory of) (Fibonacci, Loormrdo, fl.1220) VOEBlYIN, 111. N. vOllOBly.~;,j$ 3. 1'1. -- "ContAnictive Calculus (Logic) of Proporitions ',"ith Strow, liermtivn.ll Sub 24 Apr 52., 1,11athe-natic: intit V. A. Steklovj Acad 3ci US'SR, (Dis:ertation for the Degree of Candidate in Physico- I mathe=tical Sciences). SO: Vechernkya floslwa January-December 1952 7. ice Modern Algebra, 11 Apr 52 Associative Systems of 'Ass.6clative Systems," N.. N. Vorldb,' yev ["Dak Aki'Nauk SSSR" Vol L=n, No 5, pp 64l_643 ~As usual set vith one single-valued binary4sso- !;~Utive! e-ration ("multiplicationf") is ca.11id an OP "awlAtive system. The subset T of system 07~ is ealled its left ideal if GT is in T, and right: Idisal Ir ,To Is, in T. The purpose of the cui~rent article is to expound certain results to L-systems 'led main left U-systems are so-c- Ideals; that is,~' i,,;.V=)kOhezatics Modern Algebra 11 Apr! Associative Systems (Cautd) note of the form GX U X for a certain X in, States that L-systems vith unity ca=6t'pofs**s,`-'-, 1: any, augmentative elements Submitted by AciA V. 11'. Feb 52. A# 3 USSR/Mathematics Symbolic Logic 21 Jul 52 Propositional Calculus 7he Constructive Calculus of Propositions With Strong Negation," N. N. Voroblyev Ak.Nauk SSSR" Vol 85, No 3, pp 465-468. Considers certain properties of the propositional .Calculus with strong (Constructive) negation. as .defined by the usual aiioms consisting of 21 tau- tological. forno (e.g., Pz (Q-.)P), etc.) and by. the us7al -schema of imference. in particular, considers strongly equiv formulas, mmely, vhere t-oth P-sQ and -?a -Q,hold true simultaneously (desigmted by P ik SuvmItted by Acad V. r. Eknirnov 12,MaY 52. 235T66 USMIMth=atics - SIrr"bOUC Logic . 1 Aug 52 bleM Of Inferribility in the Constructive of propositions With Strong Negation," Voroblyev "Dok Ak Nauk sssR,, Vol 85, no 4, pp 689-692 In a previous report ("Dok Ak Nauk S=" Vol 859 No 3, 1952) the author derives several theor-r- c(mcernina the constructive calculus Of Pr0POs:L- tions. with strong negation. In the current report the author gives an algorithm Vhich permit$ me to develop formlias inferrible in,.this calculus and thus to ~ distinguish them frCM nwl n errible for=ilas. Submitted by Acad V.I. tiirnov 12 May 52. --- ------- 227T55 Vorob'ev, N. ff. Associative systems of wbkb every sub- syiWm_fi9W'gWty. DoklatTy_7M_aJ7Nat1kS.SSR (NSj 88, 393-396 (IM). (Russian) The author considers associative systems (i.e., semi- groups) 0 such that every subsystem (i.e., sabnernigroup) of 0 contains a unity (two-sided identity element). -Ile shows th, Y 'it a system M h15, this ptopett U nd only It (1) a VAthematiod Revi6wd , *is the Class BUM Of 111"t(J'ally d6joint groups In each of Vol* 14 No* 8 which every element has finite order, and (2) the set of Septa 1953 idempotent elements of 6 is, well-ordered by the division Algebra telatiDn (Et divides E, if FIE2-P.1EI-E3). From this and a theorem of the reviewer [Ann. of Math, (2) 42, 1037-1049 (1941). iliese Rev. 3, 1991 it follows that the structure of such a system 0, can be described explicity [the Ftmi-lattice ' - th i Th P i 3 t i i hi ll - n e rev ewer s eorem x s cax a we n t ng orderA set]. This enables the author to dcscrj 'be the ideals and a utoinorph isms of 0. A system 0 in which eve-y finite) generated wibsystern of OJ contains a unity is simil- iy characterized, the only change being to substitute 11(trutally) ordered" for "well-ordered" in (2). A. A Clifford. V.&qg' Ii -M M-7&- gg Controlled processes and the theory of games. Yest.Ion.un. Jo no-11:49 N 155. (Games, r1beory of) (KMA 9:3) 124-11-13019 A Translation from: Referativnyy Zhurnal, Mekhanika, 1957, Nr. 11, p. 103 (USSR) AUTHOR: Vorotfyev, N. N. TITLE: Flexure and Torsion of a Plane, Curved Beam of Small Curvature and with an Arbitrary Cross-Section. (Izgib ploskogo krivogo brusa maloy krivizny s proizvolInyrn poperechnyrn secheniyem) PERIODICAL: ABSTRACT: Card 1/2 Nauch. tr. Novocherkassk! politekhn. in-ta. , 1955, Vol 29 (43)pp 65-78 Calculation of beams having a small degree of curvature along a circular axis and a cross-section arbitrarily oriented with respect to the plane of curvature of the beam. External forces are assumed to be directed in an arbitrary manner, either as distributed loads or as concentrated forces. The case of a section oriented symmetrically relative to the plane of curvature is obtained as a special case from the general formulas. Castigliano's theorem is employed in the establishment of the fundamental differential equations, Six basic parameters, entering into the -expressions of the internal forces and moments acting in any given section of the beam, are determined in each specific case from the boundary conditions. For a closed ring general formulas are set up to express these parameters in terms of IVY IZ4-11-13019 ~A b Flexure and Torsion of a Plane, Curved Beam of Small Curvature and with an r Arbitrary Cross-Section (continued). the external loads. Unfortunately, the Author does not adduce any examples to show how much more complicated a practical calculation becomes in the general case as compared to the solution of a beam Flel (N. L.' Ku2!min) having a symmetrical cross-section relative to the plane of curvature, Card 2/2 W-V~ -Znv-v~~ ~Ki Yly N. N. -Theory of ldeals of ansoci&tive 8YvtsmS*.Uch.zAP~,Pad-lnst. Gerts. 103:31-73 135. (MLRA 10:3) (Groups, Theory o MM, 4 NIA5153 -.0 R mmm!", MIR, V) 44-1-161 Translation frcm: referativnyy Mirnalp Matematikap 1957., Nr 1,, pe 21 (USSR) AMECH: Voroblyev., No No 1~ TZW: on the Canonle Papreaentationo of Elements of Symmetrical Association Systems (0 kanonichookikh predatavleniyakh elementov simetricheakikh aBgotsii%tIvnYkh sistem) PMODICAL: Uch. zap. Ualngro goo, pedo in-tap 1955) 103P FP~ T5-82, ABSTPACT: Iat H be an arbitrary set. Semigroup C of all such mappings p (almost analogoas substitutions) of the sat X Into itself; for wb1ch M-pM Is a finite set, Is examined, Mw number of elements of tb1s set is called the defeat of an almost Identical od"110MICtw po let A be a subset of semigroup C., consisting of all transpositions and of one arbitrary fixed., almost Identical substitution vith a unit defect* Among different finite-acupooltions of elements of set A, some special canonic ccupooltions are of Importance; It Is proved that any element of sem1group C can be represented as one of these canonIc ccupooitions. To 0 B 0 LYaP1En Card 1/1 Associative firstemm, any loft ideal of which contains a unit elexent I* Uch.sapo?ad. Inst, Garts. 103:83-90 155. (x2A 10.-3) (Groups. Theory of) mRPM-37 -77MR5,75R." IWW, Uders, 1913- ITAK,,.N.N. (translator];,PITROV, T.Y.()ranslator]; T 4 w la t XHUSUp A.P. Ctr iel"ator ; tr*W, Tu#Vv, redaktor [Statistical theory with engineering applications. Translated from the Inglish) Matematicheskala statiatiks s takhatchaekiml priloshe- niiami., Parevod s anglilokogo N.I..Yorobleya, V.V.Patrova I A.P. Xhusu. Pol red. IU.T.Linnika, Moskva, Izd-vo Inostrannot lit-r7, 1956. 664 p. (MIRA 10:3) (Mathematical siatistice) Uvrob't v 'A), 'AUTHOR: VOROBIXW", ~.' N. 20-5-1/54 TITLE: Redaood Strategies for Games in a Generalized Form ( Pedutsirovan- nyr strategii. dlya.igr v obobahchannoy..forms) PERIODICAM Doklady Akad.Nauk SSSR.., 1957,Vol-115,Nr.5,pp-855-857 (USSR) ABSTRiM The present paper is a generalization of some results of Kuhn LRef 1,7 . Let v denote aa-ar-bitrary alternatIva of the'amoant of. information U U. If in U.the i-th.player moveav then Tx (U) denotes.the family j of al-1--amourts.-of-information V for which a) V G I b) V