SCIENTIFIC ABSTRACT KUZNETSOV, V. F. - KUZNETSOV, V. G.

Document Type: 
Document Number (FOIA) /ESDN (CREST): 
CIA-RDP86-00513R000928210003-6
Release Decision: 
RIF
Original Classification: 
S
Document Page Count: 
100
Document Creation Date: 
November 2, 2016
Document Release Date: 
June 20, 2000
Sequence Number: 
3
Case Number: 
Publication Date: 
December 31, 1967
Content Type: 
SCIENTIFIC ABSTRACT
File: 
AttachmentSize
PDF icon CIA-RDP86-00513R000928210003-6.pdf3.23 MB
Body: 
22394 S/12o/61/000/002/004/042 72 42. E032/3114 AUTHORSs Dulint V.A., Kazanokiy, Yu.A., Kuznetsov, Y.F., and Smirenkinj G.N. TITLEt A single-crystal, fast neutron scintillation spectrometer with discrimination against gamma-rays PERIODICALi Pribory i tokhnika sksperimenta, 1961, No.2, PP-35-41 TEXTs The transformation of the amplitude distribution due to recoil protons into the neutron energy spectrum in the case of a small crystal (negligible multiple neutron scattering) for which the light output depends linearly on the proton enorgyt can easily be carried out by differentiating the experimental spectrum. In fact, in the case of stilbone which was used by the present atithors the relation is not linear and small crystals cannot be used if an adequate counting efficiency Is to be obtained. The light output due to recoil protons and the form of the amplitude distribution due to monoonorgetic neutrons was investigated using a Vtn do Graaf generator and the T(p,n)He3, D(d,n)H*3 and T(d,n)Ho reactions. Neutron on rgies in the following ranges could thus be obtained3 0.375, 4-7.5 and Card l/ 7 R~ 2 M 21394 S/l2o/6l/000/002/Oo4/o42 X032/Z114 A single-crystal, fast neutron scintillation spectrometer with discrimination against gamma-rays 17-22 Mev respectively, Th amplitude distributions due to recoil protons for 4,3 and 16.8 Mev neutrons are shown in Fig.l. The recoil-proton energy distribution F(E) can be obtained from the amplitude distribution 4~(V) with the aid of the following relations (V)dV - P(Z)dE, P(E) 4) [V(Z)l ~ff . F(E) dV dZ a The functions V(E) and dV(E)/dE which are necessary to compute' the neutron spectra are shown in Fig.2. The experimental values of V(E) are well represented by the Birks theory (Ref.1) according to which E E V(E) "--dE' const dER 3) S dIS E 1 + kB,dEI'idx Card 2/ 7 0 0 11394 S/120/61/000/002/004/042 E032/Ell4 A single-crystali fast neutron scintillation spectrometer with discrimination against gamma-rays If dE'/dx is expressed in Mev/cm of the range in air then kB turns out to be 20 cm/Mov, Fig-3 shown the recoil proton spectra for 1.0, 1.8 and 3.6 Mov neutrons. These curves were obtained with a cylindrical stilbene crystal (30 mm diameter, 15 mm long). The curves have a hump at the high energy end which is due to multiple neutron scattering. The latter effect in small for neutron energies greater than about 2 Mev. It can therefore be neglected at the higher energies. Fig.4 shows the energy dependence of the resolution of the aingle-crystal spectrometer. The resolution in the energy range 1-22 Mev can be described by the formula: ILS En /En a .20/ '/"E _n% The efficiency of the spectrometer can be described byt I - exp, r -j(E n)dj (En En E Card 3/ 7 23394 S/l2o/61/000/002/Oo4/o42 E032/E114 A single-crystal, fast neutron scintillation spectrometer with discrimination against gamma-rays where 6E in the differentiation stop for the recoil proton distribution. The efficiency for the above stilbene crystal was found to be about 3% at 2 Mev and about 0.3% at 10 Mev (the differentiation stop was taken to be equal to the energy resolution 4~En)- The discrimination against gamma rays in based on the differences in the effective scintillation decay constant for neutrons and gamma rays. The present authors have used the scheme suggested by Birks and described in detail by F.D. Brooks in Nucl. Instrum. and Methods, 1959, 4, 151 (Ref-5). Fig-13 shows neutron spectra for a Po-Be source (curve I - present results, curves 2 and 3 due to B.G. Whitmore and W.B. Backer (Ref.71 Phys.Rev., 1950, 78, 799) and J.0. Elliot and W.I. McGarry and W.R. Faust (Phyn.Rev., 1954, 93, 1348, Ref.8). It is stated that the overall efficiency for neutrons having an energy of 2 Mev has been increased to about 10%. The gamma ray efficiency is lower by a factor of 100. Acknowledgements are expressed to L.D. Gordeyev, Yu.1. Baranov, V.I. Bol'shov and Card 4/ 7 S/12o/61/000/002/004/o42 A single-crystal, fast neutron.... E032/E114 Yu.V. Pankratlyev for assistance in this work. There are 14 figures and references: 2 Soviet and 7 English. SUBMITTED: June 26 1960 P( 48 1414'.."r ,, 44 0 4S 1 4f2 4S i Fig- 3 Card 5/7 Fig. /000 AUTHORSs TITLEs 21j,06 510091611011100610021014 B102/BI38 Loypunakiyo A. I., Abramov, Ao I., Alekoandrov, Tu. A., AnWn,,-.a,I.j Bondarenko, I. I., Gussynov, A. G., -14iiiov, V. I., Kazachkovakiy, 0. D.k_.Njj ~netsov, V. F,, Kuziminov, B. D., Morozov, V. N., SallnikoT, 0. A., Smirankin, G. ff., Soldstov, A. S., UoaohQv, L. I., Tutkin, M. 0. Investigation of the $P-5 (BR-5) fast reactor (spatial and energy distributions of neutrons) PERIODICALt Atoanaya energiya, v. 11, no. 6, 1961, 498 - 505 TEXTs The fast research reactor BR-5 and its experimental equipment is described in brief and some of its neutron spectra are given and discussed. The following date are givens fuel - plutonium oxidel coolant - sodium; reflector - thin layer of natural uranium plus thick layer of nickels power - 5000 kw. The reactor has many vertical and horizontal holes for technical and p1sysioal studies and is well supplied with experimental equipment. Leypunskiy gave a detailed description of the BR-5 reactor at Card I/P 211406 910191611011100610021014 Investigation of the... B102/B138 the Second Geneva Conference (1958). Inside the core the neutrons have energies of more than 100 key which they lose almost completely in passage through reflector and shield. In the outer layers of the shield, -their mean energy does not exceed some tons of *v. In the kev range (E,>50 kev) spectra were measured for the moat important beams and channels. For tb 0 other cases, they were determined from threshold reactions. The soft part of the spectrum within the reflector was determined from the spatial distribution of neutrons with E,!A5 ov, recorded with Cold resonance indi- cators. The total neutron flux was determined only at the points where the Pu 239 fission cross section was constant. Direct neutron r,:Pectrum measurements were carried out in a vertical (0K-70) and a ho antal (B-3) channel using jHe3+Ar)-filled ionization chamber in the first cane and the neutron t=naniasica method with n-hexane in the second. The neutron spectrum of the horizontal channel was also determined by photoemulsions. From the rates of indicator and fission reactions Au 197(n r). U231(n,f) PU239(.,f), T032(. 'f)~ No 23(n,r) Cu 63(a,r), and A127(n.,j,) the abrupt Card 2/s j, 510091611011100610021oli Investigation of the... h102/B130 drop In neutron energy In the Ni reflector one determined, and the activity caused by resonance neutrons (E The fast neutron n ' 4.9 ev). 14 flux (1; n.>1.4 Mov) in the core center was found to be (2-4 t 0-2)-10 and total flux was (0.2 t 0.3)-1014. Exporlmont4l. results were verified by energy-group calculations (16 groups). Good agreement bQtveen theory and experiment was oleo found for the channel spectra. The authors thank 1). 3. Pinkhaeikt N. N. Ariatorkhov, and the reactor personnel for assistance. There are 10 figures, 2,tableng and 2 Soviet references, SUBMITTLI)i August 17, 1961 Table 1. lteso*tion cross sections in the core cer)ter. Legcnds (i) Renotion'l (2) experimentl (3) a o5joulated, given In barns. Pigil~- Neutron trannmisolon spectrum (n-hqxeqe) for the horizontal' channel B-3. Card 31p'7 L 149~2-6) E:PF(n)-2/SWT(m)/BDS AFFTC/ASD/SSD PU~4 DM AMEWWNIRI AP3003980 8/0069/63/025/001/00(i4/0066 63 AMORSt Tu. Aeo B=d&r*nkoq 19 191 tuxn*tnov. V Pop Resterov, To Okolovich, Ve Noo Sm1reukin, 0, No. TITLE# Number of prompt neutrons and kinetic energy of ft!Mnts a low-numa 11 fission of U sup 235 SOURCEs Atommya energlya, vs 159 not 19 1963t 64-" TOPIC TAGSi prompt neutrong Vsup 2359 kinetic energy ofiLasion fragment# Fowler hypothesis ABW RACT iAccording to Fowler's hypothesing the kinetic energy of the fission fragment does not depend on the excitation erergy of the splitting atemo from vhicli it follows that the average number of prompt neutrons (aenopen*) is Im. creasing linearly with the increase of the energy % of neutrons producing flesione For large %# this approximately valid,, but may not--be correct for low %* The present work vas conducted In order to investigate the lover E range In greater detail. The data sought are Important practicallyp and my he?p to clarify the nature of tbelLssion channels and the mechanism uhich produces the distribution of the observed energy. U235 was used targetl the reaction T(p# Alpha) was pro- 1/2 Card L 14932-63 ACCESSION NHs AP3003980 duced with an electrostatic ginerstoro The correlation between In and agnovano to presented in three f Igureso The results are discuestdo "ph* authors Givress their deep appreciation to A. -I. I*Yrwm--kiy for attention and constant Interest to workp to Le N, Ueachey and V* No, for ftitful discussion of expartmentaf rewilts, and eratitude to V. 1. Polvehow. Le D. OoEdmyovaa and Up 1, rokhmm for help with the work and partiallpation in various stages of antunmentso" Orig. art, haso 3 figuns,. ASSOCIATIONs none SUBMTEDs 04Aug62 MR Me 08Aue63 ]MCLs 00 -$"I - -003 Cord 272 T4f'~A. n 2 R r f- r) e ,en c- rgy q 17. t 1 9:3 i on, AT4C148278 TR 2 3') L '1', . . . mzEumt7m:urn ot the corrp cf-u (4 1. s h ow-n zhat 0., 1 ' r a can opien up at energies iilp to f-yr.,tatircrn anerqy' 2 pLua-uim;u vi an energy gap In the lcvel apectrum of the I-rans4-Uon nucleus, W Iikewiae explain tha observed decrease -in the number of a-econdary ftsaion neut-rons neal- 2.2 C"LeV. Other m, a .1 at a are inte rpreted in ji I_lt 0[ th(_~Se eSU I ,Is Orlig. N'? -PET . - . . ~ - , , : - , L. I.; RABOTNOV, N. S.; SMIREIM,70. N.; USACHEV, L. N., CYbninsk "Effects of energy gap in channel opcctrum on the fission process." report submitted for Intl Conf on Low & Medium Energies Nuclear Physics) Paris, 2-8 jul 64. L,'~Z D,;japlrig capw~!.ty of a !rt a 'I. Mctlk-~vskly in3litut (-,UTTW3 elt~,(f t Tx. Wri nk i korrienclovana kmVedroy avtomat.l.Rl' I upravip-ty-uoh h. M, %.s hn YUKHOV, V.V., inzh.; KII MM4-_V inzh. 4F- p Automatic device for regulating the voltage of storage batteries. Elek. eta. 33 no.8t85-86 Ag 162. (NIRA 15t8) (Voltage regulators) (Storage batteries) GORBUNOV, Pavel Petrovich; jg%~~ Tladjm4r 2- SrIch. PLATOMOT. ppo S.A., red.; MMIKOVA, A.N., takhn.red. (Radio engineering and its applications] Rediotakhnike i so primenenis. Nookya, Voon.ixd-vo Y--va obor.5309 1960. 375 p. (HIRA 1N12) (Radio, Kilitery) 1-01 KUZNETSOV, V.F., inzh. I:---'.-.- Modeling the electromechanical turning system of an ESh-50/125 walking excavator, Izv, vys, ucheb, zav.; gor. zhur. 6 no.10:147-154 163. (NIRA 17:2) 1. Moskovskiy institut radioelektroniki i gornoy elektromekhaniki. NECHAYEVO A.A.1 G014BERGp V.S.j KUZNETSOVp V.F. Tedhnology of a system for the purification of dril1ing mud, Trudy KNII N? no,170~-66 162. Experimental investigation of the hydrooyclone purification of drilling mud, Ibid.t67-87 (MIRA 170) KUZNETS , insh. Tooting of Dr AZhHts 10-3-1,5 bronze hardness. Metalloved. i terms obr, met, no,8t46 Ag 162. (MIRA 15sllY . (Brorse-te sting) (Hardne ss--Te sting) E KUZZIETSOV, V.F.; rVANTSOV, L.I. Results of the use of tissue preparatims on the collective and state farms in the Russian Federation. VeterinarJia 40no.8:9-10 Ag 163. (IffRA 17 110) 1. Zamestitell nachallnika Upravlonlya veterinarii Mi-.1isterstva proizvodstva i zagotovok sel'skokhozyaystvennykh produktov RS-rSR. IMU!VXa4p4lj Yo lolfich; ITANOT, K.A., redaktor; TIUIDNOTA, Te.A. W.Wo-w"w'. ~ , _ ,#qr-l vsi~i~ ty, iodaktor. (Navigation] Navigataiia, Moskva. Izd-vo "Morekol transports 1956. 367 pe (Kl-'RA 9:6) (Navigation) KMNETSOV. V.G., starshiy inshener. - I In Us= a~-'Iieating of the oil vell bottom. Iffaftlanik 2 no.ltl6-17 Ja 157. MR& lOt2) 1. 3-V promysel Neftepromyslovogo upravleniya Mmdyshenneft'. (Oil wells) KULIIZTS(YV V.G.; DMCIJEV, V.I.; IUIYAZEV, V.S. Some problems of the petrography of the old weathered silpoe of the Zirabulak-Zi"tdinskiye Mountains (western Uzbekistan), Trudy MINKHiGP no.251334-317 159. (MIRA 15:5) (Uzbekistan-Weathoring) XUZUTSOV, V.(L: 11"CIM. V.I. Litholo&7 of the horlson 12 (lower Albian) in Kagan structures (western Uzbekistan) WA the paleogeograpby at the tive of its formation. Trudy NYWHIGP no.27s256-265 160. (KIR& 13:9) (Uzbekistan-Rocks. Sedimentary) (Usbakistan"Faleogeograpby) KUZNk:TSOV, V.G. Conditiona governing Ue formation of oil pools In Pashiya layers of the Bol'ohekinell flexure. Gaol. nefti i gaza 5 no. 3:40-43 Mr 161. (MIRA 14:4) 1. Wentraltnaya nauchno-ioaledovatellskaya laboratoriya treata Orenburgneft,4;azrazvedka, (Orenburg Province-Petroleum geology) BSLOKRYLOVA~ T.G.;,qZZT=4 VjLG,. MOZHAMI N.S. Oil potential of the Lower Carboniferous of western Orenburg Provinces Geol. nefti i gaza 6 no.12t/+l-" D 162. (MPU l5tl2) 1. TSentralInaya nauchno-ispledovatel'skaya laboratoriya tresta Ore:nburgneftegazrazv*Aka. (Orenburg Province-Petroleum geology) KUZUETSOV, V.G. Features of the oil-bearing Lower Carboniferow sediments of Orenburg Province. Trudy MINKFiGP no.431298-306 163. (MRA 17:4) GRACHEVSKIY, M.M.; KHMEZOV, 1821- Paleogeography of the Bobrikovskii time in the central trans-Volga region. Dokl. AN SSSR 150 no.lil46-148 Yq 163. (WRA 1616) 1. Pred~tavleno akademikom D.V.Nalivkinym. (Volga Valley-Paleogeography) Kul"ITETZIOV7 V.C.. r ~r, Typen of ventdorlc no In OrenbLu*g 1r-3vll!(X, nrld AO,~r,(enL reglww. I-ady V14IGNI no.36t 210--218 163. (MIR-A 17:9) K11"'NETSOV Oil Mid gfu jx;tun'~.111,1 oc "he 'nf tile Upp-r Ajv,nilan-huzmai otago, iii OranLniri7 fvvinceo TrrD rise u?hebo mr.; no"O' I E;az 7 Wflbk 18cZ) t~azovoy promy-sh- KIJ21ETSOV V.G. Simple and effective method for examining feces for helminth ova. Med. paraz. I paraz. bol. 33 no.12105-108 Ja-F t64 (KIRA 18-.1) I A UZI '%r CraT E~ 'in ~i I--zf 3 1 IIIC10006166looolooololoolo ACC NR, AT6o3652z 100 Alri.10M Vikhrovp A* 1.1 Kolomonukiy, A@ Vel SmirennVg L, No Dudkin, Ve Yboi Kovalay. Yo&J4 Ku4M-tWhJAQh-, OI.G: none TrIMS: Principlea of calculating chielding from coamic radiation fp-aper prosontod at the Conforonce on Problems of Space Hodicino hold in Moscow from 24 to 27 May 1966J. SOURCO: Konforontuiya po problomam kosmichoolwy modituiny, i966. ProblopV koopdchou- koy moditairxy. (Problems of space medicine); m~torialy konforontaii, Hoacow, 1966, loc TOPIC TAGSs apacecraft shielding, radiation protection solar flare, cosmic radiation biologic effect, radiation shielding cosmonaut frbn~ high-energy corpuscular ABSMACT.. The problem of shielding the' radiations is formulated in the following manner: for given conditions (trajectory, flight duration, etc.), the main-shielding requirements must :be determined (type and thickness of material, arrangement of shielding, ;etc. ) in order to protect cosmonauts from irradiation in greater thazi per- I :rnissible doses with Tninimum additional weight of the shielding. -This article describes a paper In which: 1) Chief aspects of methods of calcu- lating. sh~ekdii.~g were examined, 2) Mean tissue doses for monoeneri. "ti Cord 1/2 ell N proton fluxes, for proton spectra from solar flares and the Earth's radia- tion belts were c&*Iaulated. 3) On the basis of these data sample shieldin calculations' for some spaceflight trajectories were made. 4) The question 041 the reliability of'radiation protection of a spacecraft was discussed. At the end of the Ipaper the'main princi plea of designing shielding for-.--, ,140#~d spa i4!ed. 221 ATD hiporC 9)4W were form,. SUB cost 06t 180 22 SM Wits 00i*r66 Card --2L2-' SOURCE COD91 VJV0363/6~/001/007/1027/1038 ACC NRI AP50~29W AUTHORt Yallseyev, As A Yarembasht Yes I 1_10anetsovt V. Go; Antonova, L, 1,; Stoyanteovat-:Z. F, ORGs Institute of General and Inor-Ganic Chemistry Imo N. S. XuriKkko 5 Academy of Sciences SSSA-';(Insifiti hdiO7 i_iFei_ria_nT4ifii_s_ko7i Wait Akademil nauk SM-R) TITLEs X ray phase an&lysis of Asthanum tellurides SOURCEt AN SSSR. levestiya.lNeorganichesklys materialyt vo f. no* 7. 1965S 1027-1038 70PIC TAGS: 6re earth elemen~p'l&thanum compound, tellurldep phase diagram, crystal chemistry% arystal-lattice parameter ABSTRACTs Crystallophemical properties of lanthanum tellurides have been studied ,by x-ray phase analysis and differential thermal analysis of the polycry9talline samples which were synthe;1sed by a technique proviousIr described by the authors ghe neorgan khimli,,99,8 6'(1964 9 ff. The complete phase diagram of the La-Te System was established for the first time on the basis of the now data. 110mo- geneity limits of the six Identified phases were determined. e of the six phas*sp La2T95, was detected for the first time, The phase Previo~jri dent If led as La4T97 a of was fowkd to be L&Tel.We Cgetallographic charac risti of all phases were given.,_The exidtance of the MTO A and ItTO phasesp vhere.-M is a rare earth element from Ce to Sat Was pre;;W2~~ the growWe of crystallochemical analogy cewd 1/2 UDC% 546.,6541241s$48.19 AP%222rh between the rare-earth tellurides of other tnws, Orige art, hast 8 tables mid 5 f Igureso SUB COM 07 SUIN RAIXI ORIG AWS 006 MR 191PI Oil Ccwd 212 ,cc* R,'Ar6o36526' SOURCE CODEs /M/000/0099/0090 N AUTHORI Vesolovukiy, Le No; Gribovt Be So; Kuznotsov, Ve Go,* Sakovich, V. Ae ORG: none MILE: Heasuremont of absorbed doses of intermediate noutrons ff-apor presented at the Conference on Problems of Space Ifedioine hold in 11.oscow frovi 24 to 27 Lay 1966J. SOURCE: Konferentaiya Po Problonam k6amichookoy moditsiny, 1966. Prol)lovV koardeb 1coy m-ditairy, (Problovis of space Wdicino); matorial~y konforontaii, Moscow, 1966, TOPIC"eAGS: noutron radiation biologic offoct, cosrde radiation biologic effect, radiation shielding, radiation protection, radiation dosimotry ABSTRAM: Study of the edectiveness of biological shielding of a nuclear reactor ,showed that the most convenient method of detecting intermediate -energy neutrons is neutron detection with preliminary moderation. The sensitivity of such detectors depends on' moderator thickness, and also on the geometry of the mode rator-de te ctor system as a wfiole. Detectors with isotropic sensi- -tivity received the most attention, In order to study the angular characteris- tics of neutron fluxes,'a directional neutron detector with variable moderator thickness was created for biological shielding. The sensitivity of the de- tector was investipt.ed with monoenergetic neutrons in the.range 30 kev to 13 Mev. It was found that ~se' of different"moder'~tor thicicn'esse*s peimitsi measurement both 6f neutron fluxes in the energy range 30 kev-18 Mev, and of the ph sical and biological dosesproduced by them,/ff. A. No. 22-;-AM Report 66-3.1J6 suB coDr!,3 o6 suBH DATEt oomay66 Card 2/2 '-W7~ ACC N-R% SOMS CODS-t - E,1666-61661661~ldbdlooq�10100 Au7,,.(n,: Vjkhrov, A. I*; Dudkin, Vs Yoq' K(YvaU'!, Ye. Yo., Kumotoov, V. G.; Srdronnyy. L. N& OLIG; nono, TITI;-,: Evaluation of radiation hazard during a flight to the moon fapor proaontod at the Conforonco on Problems of Space Hodicine hold in Moscow from 24 to 27 'NaY 1966.1 SOMICO: Konforontsiya po problomam koamichoulcoy mditsirky, i966. ProblorV 1counichou-1 koy rrditainye (Probloma of space modicino); matorialy konforontaii, moscow, 1966, 1 99-100 1 TOPIC TAGS: lunar spaceflightj cosmic radiation biologic effect, radiation dosimotryi raaiation protection, solar flare, radiation pormissilolo dono ABSTRACT: During *iunar flight and lunar landing cosmonauts will be exp .osed, to Ille'Earth's radiation bellk;s, galactic space radiation, corpuscular radiation from solar flares, and lunar radiation itself. It has been calculated that during passage through the Earth's radiation belts, which win take approxi-:, rnately 30 min, the mean tissue dose will not exceed 3-5 rem. On the 11 ',30-day lunar flight the dose from galactic 6pace radiation win amount to I approximately 4-8 rem. Solar flares rej~resent the. greatest radiation. 7 Atc_'Nk,__A' hazard "Lor lunar -fligl~t. With~ shielding of ^-1 g/cmF the surface"dose- can reach %, 10 4 rem from a high-intensity flare. If the cosmonaut stays, in a Yadiation she ~' er during a solar flare, the obtained dose can be lowered to 50 rem or 1(!ss. The probability of an intense solar flare during a period of maximum solar activity is around 1dja (for a 30-day period). Doses from galactic space radiation-and corpuscular radiation are determining factors on the A"unar surface, ~be contribution to the total dose from natural And induced raWation is no more than several percent. However, doses Irom galacUc sp-ice radiation and corpuscular radiation on the lunar surface are two times less than in space, due to shie b the Moon itself. 6_3167 fa. ~A. No. 2z; ATD Report, 6 suB coms o6, 18, 22 / SUB14 DATE& OOM&y66 ACC NRa AP6011361 SOURCE CODE; UR/0206/66/006/002/0336/0342 AMIOR: Kuznetsov, V. G. (Pam ORG: none TITLE: Algorithms for finding general solutions to systems of linear Inequalities SOURCE; Zhurnal vychislitellnoy matematiki I matematicheskoy fiziki, v, 6, no. 2, 1966, 336-342 TOPIC TAGS: algebraic equation, linear equation, linear inequality A13STRACT: Ai are proposed for solving in a finite number of steps various systems of linear inequalities with real coefficients. Each successive algorithm es- sentially reduces to the first, which is an algorithm for a homogeneous system of rank n. The second is for a system of rank r