SCIENTIFIC ABSTRACT VARSHAMOV, L.A. - VARSHAVER, YE.M.

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SCIENTIFIC ABSTRACT
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FISM, L.I., dctsent (Saratov); VARSHMOV, I.A., professor. direktor. V.M..MW I-,"- I a ARGIIIQU-61011 Autonomic changes In sleep therapy of hypertension. Klin.med- 31 no.9:67-70 S '53. (KWA 6:11 ) 1. ftkulltetskays terapevticheskaya klinika lechebnogo fakullteta Saratovskogo meditsinskogo instituta. (Hypertension) (Nervous system) (sleep) r~ A HAT 11 1 -A, --- ---- EXC_I~IZPTI MEDICA Sec.13 Vol.1/9 Cardiavasmdar SePt 57 2672. _YAE_~HAINIOV L. A. et al. Early diagnosis and therapy ol hypertensive disease lor the Purpose oTfi-roTrsy`ra-Wjs ol coronary insufficiency (Russian text) Sovetsk. Med. 1956, f) (it-15) This is a review article based on several observations from the author's clinic. One of the factors contributing to the' development of coronary insufficiency is hyper- tensive disease, which is associated with spasm of the coronary arteries and develop- ment of coronary atherosclerosis.' According to the data, out of 300 patients with coronary insufficiency, hypertension was present in 400/1, (70% had hypertension with atherosclerosis and 30% wil-h functional spasm of coronary arteries). One of the author's coworkers (Markelova) found ECG evidence of coronary insufficiency after exercise in 1/3 of patients with early hypertension. Fischer noticed high irritabi- lity of the cerebral cortex in early hypertension, using the method of optic 'chronaxy- metry'. Also, a cutaneous hyperreactivity was demonstrated in early hypertension. Ivanov noticed an increased peripheral vascular reactivity in early hypertension using oscillornetry as a method of study. Lineikina stressed the appearance of an increased mean arterial pressure as a sign of early hrpertension before elevation of systolic and diastolic pressures. Another sign of ear y hypertension consists of the disturbance of regional relation of blood flow as measured by the pressures in the arteries of the temple and the shoulder. Epifanova demonstrated. early decrease in the content of blood phosphate and labile ATP stores in hypertension. All these data int out, according to the author, that early diagnosis of hypeitemion is possible. he author recommends treatment of this condition in order to prevent the devel?p- T ment of coronail artery disease. The treatment should consist of general supportive 2,6- C ON ro measures aimed at improvement of the tone of the nervous system. Therapeutic exercises, sanatorium regimen and balneological therapy are mentioned. Long I~riods of sleep induced. by means of conditioned reflexes are claimed to be effective. ie author urqcs his readers of the necessity of Y,-nembering the teachin4s.?f Marxism-Leninism. about the intetffelationships bet.-z---. the individual and his surroundings; this interrelationship stresses the important prophylactic value of the correct way of life, as weU as of recreation homes, nightly sanatoria and vacation places. It is concluded that the contemporary understanding of the pathogenesis of hypertensive disease enables one to carry out effectively the prophylaxis of this disease..The conditions created by socialist regime in the author's homeland contain rverythinF that is necessary for the rational solution of this great Soviet health problem hypertension). Surawicz - Burlington, Vt. ......... VARSHMOV, L. I [A I (Dr.) "Coronary Insuffic'ency," report presented at Fifth International Congress uf Medic,ne, (Internal) Philadelphia Pa. April 24-26 1958 Chief Therapy Dep~., Saratov Med Inst a Saratov USSR VARSRAMOVp L.A., red, EPathology of t4 cardiovascalar system] Patollogiia sardechno- sosudistoi sistemy. iarstov, Saratovskos knizlmoe izd-vo, 1959. 270 P- (MIRA 13:7) (CARDIOVASCUTAR SYSTU--DISMSES) BTRITZT, P.A., prof.; VAESHAMOV, L.A.. prof.; VOLTNSKXY, B.G., dotsent; amsimov, N.-T.-T-d-ofs-e-n-l,--GURYVICH, L.I., dotijent; ZHELYABOVSKIT, G.K., prof.; KARTASHOV, P.P., prof.; KWJETOT, K.P.. dotsent; KRUGLOV, A.N., prof,; XUTANIN, M.P., prof.: LIRINA, V.S., dotsent; LOBKO, I.S., doktor (deceased]; LUKOVA, A.I., prof.; KAMIN, TeJu., prof.; RAUMOV, A.L. kand.med.nauk; FOPOVITAN, I.M., prof.; SCLUN, N.S., kand.med.nauk; TARABUKHIN, U.N., dotsent; TESTITAKOV, K.N.. prof.; TRISHINA, A.A.. kand.med.nauk; UGIYANOVA, A.V., dotsent; FAYN. A.B.. kand.med.mauk; FAKTOROVICH, A.M., dotsent; NUNMRT. A.I.. prof.; FISMM, L.I.. dotsent; CHASOVNIKOVA, Ye.P.. kand.med. nauk; SMKARIN, F.I., prof.; SHAPIRO, Mo.. dotsent; SIVARTS, L.S., prof.; SMJSTERKAN. I.B., dotsent; FOY, A.M., prof.; MYDKAN, S.L., kand.med.nauk; HKITIN, B.A., dotsent, red.; AFANASIYXV, I.A., red.; LULASHKVICR, V., tekha.red. [Concise medical reference book) Kratkil terapevticheskii spra- vochnik. Izd.3., ispr. i dop. Saratov, Saratovskoe knizhn(je Lzd-vo, 1959. 919 p. (MIRA 13:7) 1. Ghlon-korrespondent ANN SSSR (for Tretlyalcov). (KKDICIM--HAMOOKS, MANUALS, ETC.) VARSHAMOV, L.A. , Prof. Engineer's work in the clinic. Biul. Uch. med. sav. 2 no.1:21-23 Ja-F 161; (WDICAL OSTRUMTS AND APPARATUS) (MIRA .14: .10) ABRAI-'OV, M.G.. doktor med. nauk; ALEKSffEV, G.A.. prof.; ASTAFFITO, M.G. Iprof., BURE71KC, V.M.: dots.; IAR~Iik~OV, L.A.p prof.; VIIIOGRADSKIYI A.B., KARPOVA~ G.D.; KASSIPSKIY, I.A., prof.; KUSHKrY, R.O., doktor med. nauk; LIBERMAN, B.I.; LIKHTSIYER, I.B., prof.; LUZHETSKAYA, T.A., kand. med. nauk; MOISEYEV., S.G., prof.; VASONOVA, V.A.t dots.; IIESGOVOI'tOVA, L.I.; POROSHINA, I.I.; PREO&IAZI1121SKlY, A.P., dots.; RADVILI, O.S., prof.; RATNER, M.Ya., doktor med. nauk; RASHEVSKAYA, A.M., prof.,; SEMENDYAYEVA, M.N., kand. med. nauk-, SIGIDIII, Ya.S., kand. med. nauk; ARTEMIYEV, S.G., red. [Therapeutist's handbook] Spravochnik terapevta. Izd.2., ispr. i dop. Mosk-va, Meditsina, 1965. 863 p. (MIRA 18:6) 1. Deystvitelinyy chleen Al-T, SSSR (for Kassirskiy). AUTHOR: Va-rahamov, R.R. TITLE: A-U Sci Conf dedicated to "Radio Day," Moscow, 20-25 MILY 1957- "Structure and Evaluation of the Quantity of Coded Signals mith Correction of Errors." PERIODICAL: Radiotekhnik i Elektronika, Vol. 2, No. 9, pp. 1221-1224, 1957, (USSR) For abstract see L.G. Stolyarov. AUTHORt VARSHAMOV, R.R. 20-5-2/54 TITLE: Estimation of the Number of Signals in Codes With Correction of Errors (Otsenka chisla signalov v kodakh s korrektsi3my oshibok). PERIODICAL: Doklady Akademii Nau~NMFfi,Vol-117,Nr 5,PP-739-741 (USSR) ABSTRACTs The coding method given by Hamming [Ref.21 with the correc- tion of an error is improved and generalized by the author. 1,11ith the aid of the proposed method r errors can be cor- rected, whereby the sufficient conditions which are simul- taneously applied as suppositions are weakened. The method is linear just like Hamming's method, i.e. if the inforda:- tions bl and b" are transmitted by the signals a' and a" , then bl + b" is retransmitted by at + a" . 1 Soviet and 1 foreign reference are quoted. PRESENTED: By A.N. Kolmogorov, Academician, 10 June 1957 SUB14ITTED: 10 June 1957 AVAILABLEs Library of Congress Card 1/1 VARSMVOV~ R.R., Cand Phys M:ath 5ci - (diss) "Problems the gene,ral tfleory of linear coding." ITs, 1959, 10 pp ('Mos Order of Lenin and Order of Labor Apd Banner -tate Univ im LI.V. Loyonosov) 150 copies. Bibliography at end of text (12 titles) (KL, 36-59, 111) - 2 - IL IL Xw- c -P-- (c Is jp 22 OL C .T- ""F L C. *-A- r- 10- cwrft~ wp~ -"p --&Am W~ g P. P. lwfm~ f." -Imm ---P~ l2 (e 10 AM 16 was) M. IL B." M. M, T...!. rmmLftmA ~~um c KKA c Cm - =u "p- q,- r. IL Pr r. OL X.= A. A. C.- 12 (c 1# An tj "MI L M. Mo- rn.- tW 10 C~Sb*MLU' atim r W. Tocamougles, @-&sty Me Am. A. C. P"Of (INFIRM), PIMPOW, S/(,58/6j/"/004t-3i/G42 4,~S-a 0 A0Q1/AIO1 AUTHOR: Varshamov. R.R. TITLEi On the method of linear coding with correction of errors in signals transmitted PERIODICALs Referativnyy zhurnal. PIzIka, no 4, 1961, 375, abstract 4ZhV6 ("8b. tr. Nauchno-tekhn. o-vo radlotekhn. i elektrosvyazi im. A.S. Popova!', 1959, no 3, 4-~ - 48) TED(Tt The author describes the main ideas of the linear coding method with a posible correction of r :? I errors; the mathematical formalism of the Abel group theory is employed in the.method. [Abstracter's note: Complete translation.] Card 1/1 VARSHAMOV, R. ft. and OSTIANU, V. M. "Application of finite fields to synthesis of reliable switching structures" report submitted for the Intl. Symposium on Relay Systems and Finite Automata Theory (IFAC), Moscow, 24 Sep-2 Oct 1962. - VARSHAMOV, R. R. ; OSTPIT, V. M. "Application of the Theory of Finite Fields to the Synthesis of Relay Mechan- isms Using Excess." report presented at the Symp on Relay Systems Theory & Finite Automata, Moscow, 24 Sep-2 Oct 62. VARSHAMOV, R.R. (U.S.E.R.) Mathematical theory of the aspnetric codIng system. Re-i nath Roum. 10 no.2:165-169 165. 1. Submitted June 3, 1964. "CESSION NR: AP4044823 S/0280/64/000/OD4/0053/0053 AUTHOR: Varshamov, R.R. (-K)scow) TITLE: Mathernatical methods for increasing the reliability of real communications systems SOURCE: AN SSSR. Izvestiya. Tekhnichoskaya kiberneLika, no. 4, IM, 53-58 TOPIC TAGS: reliability, communication system reliability, system noiso, coding, decoding, sampled data systom, l1near signal system, corrccting codo ABSTRACT: A sampled-data communications system having a noise source with an arbitrary statistical structure is examined. The principal object investigated, shown in 'Fig. I of the Enclosure, is a general system transmitting signals along a single Invariant channel. Ile signal and noise are nssumed to be statistical in nature and it is also assumed that the coding and decoding devices operato perfectly. Thus, the only source of errors is the channel noise which corrupts tho individual symbols of the trans- mitted signal. no purpose of coding Is. to decreaiie the effect of noise of a given character and intensity as much as possible. Commonly, the modern theory of coding Investigates only signal systems having constant and independent channel distortions of the separate ..Card- ACCESSION NR: AP4044823 symbols rif the transmitted signal, since any deviation, however small, from this claBsic-~ version highly complicates the analysis. The use of such an idealized mathe tatical.model is limited. It is therefore of practical Importance to solve the basic j. -oblem of coding for the broadest assumptions concerning the statistical structure of the r. ise sources and intelligence. This problem is solved for linear coding. The solution is used for the formulation of the necessary and sufficient condition for the existence of linear signal systems, used in conjunction with a binary correcting code, which are Immune to a special type of noise represented by a sequence of units arising independently and at random in the channel. The mathematical formulation of the con- dition obtained can be used for constructing such codes. Orig. art. has: 47 formulas and Ifigure. ASSOCIATION: none SUBMITTED: 020ct63 ENCL: 01 BUD CODE: DP NO REF SOV: 002 07TIER: 002 Card 2/3 'ACCESSION NR: AP4044823 ENCLOSURE: 01 j 1 3 5 -7 8 10 ~2 Fig. 1. Block diagram cf a commun Ications system. 'Legend: 1. Source of communication; 2. Communication; 3. Coding device; 4. Signal; 5. Channel; 6. Noise source; 7. Corrupted signal; 8. Decoding device; 9. Communication; 10. Receiver. ,Card 3/3 L ASI),(a)-5/AFETR/ESDt. dp)/ESD(t)~ --ACGM510N-NR--- r*correct nalq.- it -e.rro, ..n"y,mme r c eth oiMiket7 A' ~T GSi in co e t rror.*corr ct, e St ~fr. Mo- .7midift-syste it -an asy 4rical. binar i Ttjwqi~wel-(h~Lv ng_ different distortion probabilities for different pulses) are briefly conaidered. Values of n, :r, and M are assessed which makes possible finding M signal immune to r asymmetrical errors out of N possible signals-, a set of N sequences of the form: (xi. where xitakes on only two values, 0 and 1, is considered. Formulas for top and bottom evaluation of the maximurn number of sign als requixed for a code capable of correcting r asymmetrical errors are developed. Ong. art, has; 10 formulas. ASSOCIATION: none suBmirTED04 .97MaY64 ENCL: 00 NO REF SOV: 001 SUB CODE. DII OTHER: 000 caro 1/1 ACCESSIM NR: APk*1394 6/OoW/6%/l56/006/l0/ S. UkcaderntctaO AUTHOR, Varshawvj R. R.; Kulebakin, V MTIS: Concerning one tawrem of the theory of polynomial reducibility "'SOURCE. AN'SSSR. Doklady*, Y. 156j, no. 6., i964l i3DS-13u TOPIC TAGS: eyberneticso control theory~ porly;aoiiial reducibility,, Galois fields# ~Irreductble polynomial 'ABSTRACT: The tbeor7 of the reducibility of PD3,vnomials Is essential In the modern theory of linear coding. One of iti difficult and Important problems is the. synthesis of irreducible polynomials of a givea degree. The present conmunication- ''deals with this problem,, Polynomials am considered with coefficients belonging :to the Galois field* By using methods of the number theory) conditions are ;-~~.'estdblished for the divisIbUlty of-polynomials of a certain type by one another& A basic theorem Is then prayed fran which four theorem of special cases of irre - ducible po3jvnom1als are derived* OrIgs arts ban: no figuresp 6 erjuationso. Institut icmi and ASSOCIATICK avtdmatiki I taknekhaniki (Institute of Automet, ACCESSION MR3 AP4042783 S/0020/64/157/003/OS46/0548 AUTHOR: Varshamov, R. R.; --,01QLE: On some features of linear codes which correct asymmetrical errors SOURCE: AN SSSR. Doklady*, v. 157, no. 3, 1964, 546-548 TOPIC TAGS: coding, error correction coding, cybernetics, automatic control theory ABSTRACT: Coding with an asymmetrical discrete channel (defined as a channel with unequal probabilities of distortin--~ of different .elements of the message) has been less thoroughly investigated than with a symmetrical channel. The article is devcted to a rigor- ous mathematical formulation of the problem and to a proof that it is impossible to obtain-new, stronger results if the widely used linear coding method is employed in the theory. The following are 1/3. A=9919= MR.- -- AP4042783 pxoved-- Leumma 1. To be able to correct r asymmetrical errors it Is netmmmary and sufficient to have the pairwise distances between the used signals be not-smaller than d - 2r + 1. Corollary: The norm of each nonzero element of a vector space immune to r asym- metrical error is not smaller than r + 1. Theorem: For any n-zero of the function Vr W W (x 2r) - 2r. there holds true the equality .0 r) (n r). where G(n, r) is the aggregate of all.possible subspaces of dimen- sionality mr(n) immune to g symmetrical errors, and G(n, r) in the aggregate of all subspaces of dimensionality Fr (a) immune to.K asymmetrical* errors. Orig. art. has 1 7 formulas. Pmeented by Academician V. s. Kulebakin. 2/3 ACCESSION NR: AP4042783 ASSOCIATIONs Institut avtomatiki i telemekhaniki (Institute of Automation and Tolemechanics) SUBMITTEDs 26Feb64 ENCLs 00 .SUB CODE: MA, DP NR REF SM 002 OTHERs 001 3/3 VARSHAACIV, C,--me ~harac~k-ri-31.icp~ of linear --cJes corre~-~tng aeymm.;-trical Dckl. AN SSSR 157 no-3;15-,'~-.5418 J! ~64~ 'IMTRk 1-tz;'I) -1, avf~omat~k.! ,. -E:dqt&v'.er1 ak,-d~m-lk-,m ~ I I n, , P, %r.";. Kulebak~,ny,.n, V,ARISRAK)VP R.R. (Moskva) Mathematical methods for increasing the rellsbllit,7 of real commiri!cation systems. Izv. All SSSR. Takh, kIb. no.4i53-58 JI-Ag 164. (MIRA !?~12) VAW"lf.A,M,0vf I?J%. V.!, N , v . , 1~ I ~ (1 1'. ~ .,I r: 11 -~-7 - ----- -- -1 E s t Ji ma 7, n -, ~- s I 8-rr. a- I r, -U. ~ tp- :~ - ~a f:-a~,s ;:.i- -~ Nilem. 2~,* T-, i,~s j ;..! , L I , - -1'. (%17 -7 --' . --P-A - ~~) 'MiSI~AMUV, 01~;.Ava) E-Almaticn c~ .,p .!. 4,c 7". . " ..-- ~ '1 .1 in nal error corr(l~.tlc;n- J tclem. 25 N' 11,4 (,..i !~ II "'; : I ) L 41047-65 C-11*.D-4-f-rr--V-T%d)/T/F-WP(I Pg_4/Pj_d-`/Pk_4/Pq_4 IJP(C) GG138 ACCESSION NIX: AP5006Z79 S/0103/65/0Z6/00Z/0Z88/0Z92 I UTHOR- Varshamov, R. R. (Moscow); Tenenellts, G. M. (Moscow) T1 ILE., Code correcting single asymmetrical errors SOURCE: Avtomatika i telemelchanika, v. 26, no. Z, 1965, 288-292 TOPIC TAGS: -error correcting code, binary cod & V ABSTRACT; An asymmetrical - generally speaking, nonlinear single-error- c o-rr-ec-ting tin-Iary --- Code 1V=,Yj-fajimd (mod)!t+1), (where are binary "a" is- an integer satisfying tne condition 0!.'~~ a < ais considered numbers,, whose capacity- (number of signals) is greater than that of a corresponding maximum syrarnetrical code and also greateir than the capacity of W. H. Kim and C. V. Freiman's code (IRE Trans., v. 1T-15. no. 2, June 1959). Orig. art. has: Card 1/2 AC(I-ESSION NR- JkP5010567 UR/0020 /65/161/1-1103/05,t0 054 3 AUT110R: VFtrahamov, R. R. - I TITLE: One arithmetical function applicable to the coding theory -SO.UR,(;E:. AN SSSR. Doklady, v. 161, no. 3, 1965, 540-543 '~TPPIC STAGS:- -,ccultnvi theor -ARSTWAXT f-Th, rtias-, -i cludi -4--r-thm&of-recurrent e of this ToVe P- U5 -valmat I C P to! ftuictiorfi K,,,, (Z) 1, are Inveatigated. Also, conditiona of zero we of We Irregular K,,, '(z) are found. The K al v function. ljo connected with the capacity of special efficient nonvymmetrical aeV- ,Card L 5015-66 EWT(d) ACC NRI AP5025853 UR/0020/66/164,/004/0767/0760 AUTHOR: Varshamov,_R. R. TITLE-. The theory of assymmetric codes tj SOURCE: AN SSSR. Doldady, v. 164, no. 4, 1965, 757-760 TOPIC TAGS: error correcting code, coding communication coding ABSTRACT: Recently, several researchers have studied the synthesis of codes used during transmission through assymmetric chamiels (W. 11. Kin, C. V. Freiman, TRE Trans. Inform Theory, 5, 2, 62, 1959; R R. Varshamov, DAN, JL57, no. 3, 1964). However, In the theory! of asymmetric codes nothing is known about the upper and lower limits of the maximum pos- sible number of signals In error correction codes. Consequently, the precent author 1) studie thoroughly the mathematical stiucture and charactorlstic peculiarities of asymmetric codes; and 2) establishes criteria for the lower and upper limits for the maximum possible numbor of nignals in crdes with asymmetric error correction. The paper presents this material in the form of definitions, one lemma, ar I the proof of two theorems. Presented by Academician AN SSSR V. S. Kulebaldn. Orig. art. has: 18 formulas. ASSOCIATION. Institut avtomatfld I telemelthanild (Institute of automation and telomechanies) SUBMITTYI); 14Jan65 ENCL: 00 SUB CODE: DP - MA JtEF SOV: 092 OTHER: 002 47 AI~C Nki AT6030869 SOURCE CODE: UR/0000/66/000/000/0117/0133 AUTHOR: Varshamov R. R. ORG: none ITITLE: Mathematical methods for increasing the reliability of information transmis- ;sion through an asymmetric channel !SOURCE:, Moscow. Institut avtomatiki i telemekhaniki. Abstraktnaya i strukturnayt teo- J.riya releynykh ustroystv (Abstract and structural theory of relay devices). Mc,,;ow, lIzd-vo Nauka, 1966, 117-133 !TOPIC TAGS: error correcting code, encoding theory, error minimization "ABSTRACT: 2-asynpetric distortions and the necessary and sufficient condition for the !existence of codes capable of correcting ril-asymmetric errors are defined. Upper and lower limits are established for the maximum possible number of signals in a code with correction of repeated asymmetric distortions. The topological singularities of line- binary optimal asymmetric codes are investigated, and a theorem on the invariancy oi the maximal subspaces with respect to the nature of distortion is proved. A new, r most effective (among the known) class of asymmetric codes, immune to small distor- tions of the type +1, -1, is considered. Two arithmetic functions, useful in the en- coding theory, are investigated. The asymmetric channel of communication is defined Card * A-- --AT 6 -0 -3- 0 8 6 9 as one in which the probabilities of erroneous transmission of different symbols are I which' transmission, !unequal. As an example of an asymmetric a system can be cited, in a threshold detector is used as the decision element. Signals with amplitudes below the threshold are not transmitted. The codes which are designed to correct this condi- tion are called asymmetric. The present work is devoted to deepening the understand- ing of the mathematical structure and characteristic properties of asymmetric codes, tc the investigation of general conformity of their internal structure, and to the estab- lishment of the theoretical 'existence limits of the codes capable of correcting multi- ple asymmetric errors. The following specific topics are considered in detail: 1) Conditions for correction of asymmetric errors--L'orma 1. To correct rn(q)-asymmetric errors it is necessary and sufficient that any 0 ejGF(q)Q(0) is the distance between any two utilized 0(0) mutually representative signals, x and y is greater than d=2r + + 1, i. e., PO Y) > 1 2~_+ 1. GF(q) is a field containing the elements subject to asymmetric distortion. P(X,Y) = x-y. 6 is sane value from the field GF(q). Lemiza 2. For a binary code to be cap- able of correcting r asymmetric errors, it is necessary and sufficient that for any different pair of utilized signals x and y, the cot-idition 5(x,y) k 2r + 1 be fulfilled. 2) Upper.limit of the number of sig;,-,ials in codes with correction of W- asymmetric errors. Aeorem 1. The maximtgn Trumber of signals in any code cor rd ACC NR, AT6030869'- ~ing r, A (q) -asymmetric errors is q(n*j) V-0 where q Yj (q lftv, Cv CV V-0 .=O(V>a).! 13) Lower limit of signals in the same type of code. Theorem 2. The minimum number of' isignals in the best possible code correcting rg(O)-asymmetric errors is (r sic 0-0) r ir-V V.A, + (q W)v (W en P V-0 9-0 where 'r 2r-V-t CV.0 Ln. "' E 6) (q (O)v (0) 1)' C1 (n. 1) (V-D) 04 1) (V-0 V-0 1 0 V+V.t V.V+i a 'Isignum function", and conforms to the definition 00 4) Certain topological Isingularities of linear asymmetric codes. Theorem on invariancy of optical linear Icorrecting codes with respect to the nature of distortion. benma J. The norm of each element of a vector space immune to r asymnetric errors i.s greater than r + 1 . 5 ACC NRs A716030869 .Le=a 4. Two isometric and isomorphic vector spaces H and Ht are immune to the iden- tical number,of asymmetric errors. Theorem 3. Far each n-th zero of the function V (x) there is an equality G(n,r) = U(n,r). 5),A class of asymmetrical codes immune .r to small distortions. 6) A method for synthesis of asymmetric codes for correction of !small distortions. 7) Investigation of arithmetic functions related to the informa- tion theory. . The functions are of the type N1 Aj -+nana I (mod P%+i) O;C&- 0. where n-1 a r". p. (a) Yj Y. f-O 1-0 4/5 ACC NR& AT6030869 I.Thoorem 4. ror any integer n, satisfying condition (q + 11 > 0), Ithe identity (q K W n,q 'holds. Theorem 5. For any U-th*root of the equation (q + 1)ox 0(mod n t 1) (o 0) Ithere is an e;quality V.. 0-,I 6. There is an asymptotic formula A n-loa, n K n. jj(O)2 Orig. art. has: 35 formulas. SUB CODE: 12/ SUBM DATE: 06Jun65/ ORIG RM 005/ OTH REF: 003 Card 5 ACC NRs AR7004287 SOURCE CODEs UR/0274/66/000/011/AOIO/Ao'o;O~l: AUTHOR: Varshamov, Re R. TITLR: Mathematical theory of asymmetrical codes SOURCE: Ref. zh. Radiotekhnika I elektrosvyaz0v Abae lIA75 REF SOURCE: 5b. 2-ya Vses. konferentsiya po teorii kodir, i yeyo prilozh. Sekta. 1. Ch*2.p Me, be g-, 39-51 TOPIC TAGS: error detecting code, error correcting code C ( f, 0 ir Z~arrej " ov~ ABSTRACT: The mathematical structure and general laws of internal structure of asymmetrical codes are explored; the codes are Intended for detecting and correcting errors in transmission over an asymmetrical channel (that has ursequal preliabilities of fault for various elementary signals). Conditions of correction of asymmetrical errors are considered. Upper and lower limits of the number of elements in the codes 'ing multiple asymmetrical errors are determined. Distinctive features of correcu I linear asymmetrical codes are analyzed; it is proven that nearly for any natural number n, the linear optimal code of a length n.which is stable with respect to r asymmatrical errors, is alao suitable for correcting r symmetrical ovireors. A class of asymmetrical codes stable to small distortion is considered. Bibliography of 1 2 titles. N.-S. [Translation of abstract] SUB CODE: 12 109 .--A 4/4 MUMMIYANI, T,6)4p gewraluqw =atalnskcW au2WW; VARS"JAIUM# YU.Ifto PodPolkandk nofttalnakoy alr:htv -------- - PrImary raaction to irradialdm; a roviow ot the Utersture, Vow* md. zhw. no..lOs2G-U, 0 165. (Hn?A 18 s21) L 27630-66 EWT(m) ACC K AN7018367 SOURCE CODE: UR/0241/661011/_001700127001) AUTHOR: Varshamov, Yu. L. ORG: litary-Medical Order of Lenin AcadeM im. S. M. KJxpx,_Jejdn"ad no- _~VoyerL meditsinskaya ordena Lenina akademiya) TITLE: Mechanism of the origin of vomiting in the period of primary reaction to radiation SOURCE: Meditsinskaya radiologiya, v. 11, no. 1, 1966~ 12-14 TOPIC TAGSs dog,'raflex activity, radiation biologic effest, drug effect, x ray irradiation, pharmacology ABSTRACT: _iResults of the experimento which ikiere earrIed out on dogs .to detetmine the extent to which the central and reflex mechanisms ~partiolpate In the origin of'vomitiniF In the period of prinary re- action to radiation, and the efficaoy of aminazine when used as an antlemetic drug are reported In the artiole. In model experiments .prior to the Irradiation# vomiting was-Indueed in the animals by .the administration of apomorphine In a dose of 0.1 milligrams per 'kilogram body weight; the Internal administration of copper sulfate iin a dose of 10-15 milligrams per k1logram body weights and the excit"ation of a skin loop on the external cervical section of the-. tragus nerve. In further tests the dogs were subjected to x-ray irradiation with doses of 250 and 500 r. Vomiting developed In the :_aniinals.on,the.day.after irradiation -with 500 r.. Aminazine, a Card 1/2 UD.01: 617-001.28-106:616.33 -008.2-0912 ACC NRt AP6018367 pharmacological analyzer which in sicall dosen selectively blocks 'the chemorecqptor of the trigger zone and makes it possible to Aetermine the mechanism of vomiting was' administered to the animals., The drug in a dose of three milligrams per kilogram body weight ar- restod the Initial vomiting and prevented the onset of further attacks-* 1, ,Doses of 250 r induced vomiting onl3rin combination with apomophine, ,a drug which causes a central type of vomiting, The experiments- .established that aminazine arrests eiDomophlne-induced vomiting,.but, does not prevent reflex vomiting induced by copper sulfate and the .excitation of the skin loop, an IndIcation that aminazine acts as 'a central antlemetic; the successful. application of aminazine in .primary reaction to radiation pointst to the oentral mechanism of :the origin of' voolting; the development of vomiting as a result of ithe combined action of a radiation dose of 250 r and apomophine also I indicates the oen-tral meoharAsm of the origin of vomiting In primary_: reaction t-o-r-a-dA-a-tion, taiAS) SUB CODE: 06 SUBM DATE: .23Mar64"' CIRIG REF 1006 CT it MF 010 Card 2/2' (Cil.1 WM/ChOMiBtr7 Qystallization, Card Authors t Refedovp V. D., and Varshav, N. A. Title Investigation of isomorphous co-crystallization of tetraphenyl derivative.-ti of Pb, Sn and Si Periodical Zhur..-fiz. khim. 281 Ed. 6, 981 - 964, June 1954 Abstract I The applicability of the V. G. Kblor)in law to systems in which metal- organic compounds (phenyl derivatives) of Fb, Sn, and Si serve as macro- arxi micro-components, was investigated. Roentgenographic data are presented on the isomorphism for t(itraphenyl-Pbj Sn and Si derivatives with an explanation of,the isomorphic problem. The determination of the va..ue of fractionation coefficientt, J, for above Pientioned systems by the application of the isomorphic co-crystallization method., is described. Foitr USSR references. Tables. Institution Submitted Novembor 29, 1952 VARMAVA, Boris Efimovich, 1900-1927. A dictionaz7 on psychology. Moskva, Oos. uchebao-pedugog. izd-vc., 1931. 206 p. (51-54079) BF31,V3 1. Psychology - Dictionaries - fbissian. 1. Vygotskii, Lay Semenovich, 1896-1934, it. au. VARSHAVCHIK, I.I., inzh. Static calculating models of elactric systems. glek.sta. 31 no.2:52-56 F 160. 04IRA 13:5) (Blectric w3tworks-Blectromochanical analogies) C I L V& ROZEMSTVENSKAYA, Z.i VARSHLVER, A* Bank control over distribution costs in trade. Den. t krs4.12 no.4:44-45 0154. (MLR& 8:2) (Marketing-Costs) (Banks and banking) AUTHOR: Varshaver, B.A. TITLE : A-U Sci Conf dedicated to "Radio Day, " Moscow 20-25 May 1957. "Theory of Carrying Capacity In Binary Transmission," PERIODICAL: Radiotekhnika i Elektroniake, Vol. 2, No. 9, pp. 1221-1224, 1957P (USSR) For abstract see L.G. Stolyarov. ~ VARSHAVER, BIAS Theory Of the transmission of discrete signals vith fluctuation noises. Trudy M no.29;272-292 137. (HIRA 1313) (Information theory) VAR.SHAVER. B. A., Cand Tech Sol -- (dlFle) "Certain J& 'CF&IwWwwww&~ of the transmission of discrote sippals during fluctu-- ating interferences. I Moo, 1958, 15 PP. *jwa (Min higher Ed USSR, Moe Order of Lenin Fbwer Xxj;xgIxwKxxIxgtxKKxxbmt Eng Inst), 100 copies. (KL 9-c-8, 117) - 64 - VARMAYSR, B.A. Traffic capacity in the transmisnion of signals with several discrete values. Naucb.dok-l.vys.i3hkoly,- radintekh. i elektron, no.1:46-50 58. (MIRA 12:1) 1. Kafedra ig~io~rfye~mnykb ustro,,rRtv Moskovskogo energetiche- ijkngo instituta. (Information theory) --__V,kRSHAVER, B.A. Calculation of error probabilitioo in decoding; one represen- tation of the binomial law of distribution of probabilities. Nauch.dokl.vys.shkoly; radiotekh. i alsk-tron,no-1:51-53 1 58. (MIRA 12:1) 1. Kafedra radlopriyomTWkh ustroyrtv Moskovskogo energotiche- skogo instituta. (Information theor7) A4100 AUTHORs vars~~V-en-~--A* 89559 310441601000100B10311035 V111/0222 TITLEs On the theory of the receiver being ideal in the sense of Koteltnikov PERIODICALs Referativm" zhurnal. Matexatika, no.8, 1960t 178-179P abstract no. 9332. Sb. tx-. Nauchno-tekhn..o-va radiotekhr.. i elektrosvyasi im. A.S.Popova, 1958, n0.9, 20-34 TEXTs Lot be an n-dimenoional random vector the probability density p (X) of which,igi x - (VIP ... 0C ') - If the components R n are independentp normally distributedt and if they have the me!in value 0 and the same dispersion then from the inequality n 2 n 2 F- Xi Y. there evidently follairs the inequality p n(x)