(SANITIZED)UNCLASSIFIED RUSSIAN-LANGUAGE PUBLICATION ON EDUCATION IN THE USSR(SANITIZED)

Document Type: 
Collection: 
Document Number (FOIA) /ESDN (CREST): 
CIA-RDP80-00247A004300040001-8
Release Decision: 
RIPPUB
Original Classification: 
C
Document Page Count: 
58
Document Creation Date: 
December 27, 2016
Document Release Date: 
February 20, 2014
Sequence Number: 
1
Case Number: 
Publication Date: 
December 7, 1964
Content Type: 
REPORT
File: 
AttachmentSize
PDF icon CIA-RDP80-00247A004300040001-8.pdf3.54 MB
Body: 
Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 # eb 50X1-HUM 1.)044 4( Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 eciassi rt Sanitized Copy Approved for Release 2014/02/20 : CIA-RDP80-00247A004300040001-8 LK A 1..1.1710}11-1A.2 XAPAK TEPI-ICT PIRA 131>F4HC.IIHTOIlb nepaoro paapHila N.aoaxTepHoTHKa_ pa6oTbl. Ipocrellume nbigHcneHHH Ha iiticTonbrioki abInHciurrenbHoii manixHe. flocTpoeHHe rpa? .PHICOB. P6.460Ta Ha nepcboparope LutH 011HOH H3 131914HCII.H? Tembix c nporpammtibm ynpannefixem. ,LithrpReH 3Harb; 1-Ipanxna o6pauzeHHH c HacTonbHoti Lsb1H4CIIHTel1bH0A maLuNHOii. BburonHeHHe ,aencTaxil Ha maunfrie, BKnionan aenCTBHA C OTpallaTeribHb1? \ 1 H 1 He/lama. flOilb3OBAHHe innatlxepom X mynbTAnnHHaTo? pom. I Ipanxna oicpyrneHHH peaynbTaTon .aefIcTaHri, HpaBHaa oNpyrneHHH npH 11011b3013aHHH Ta6J1Mma1H. YnoTpe6neHne TaGripth c xcnonbaonanHem in4Hennoil HHTETHOJIHUHH. I/13? 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STAT Declassified in Part-Sanitized Copy Approved for Release 2014/02/20 : CIA-RDPFin_nn Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 OBWAIA KYPC MATEMATVIKI4 06uutil xypc MaTeMaTHKH npeacTasnaeT CO6Oft LleHT- panbaoe aBeHo maremaTHnecxoft noAroTosxx ymaiumxcs. Or ILOCTaHOBKH npeno,czaaawasi 9TOrO xypca BO mHorom 3aBHCHT xanecTso o6rieHma npocbeccHH BbIgHCIIHT3/151 - nporpammHcTa /mix H rao6ofi Apyroti maremaTHmecxott npocIdeccHH/. xypc maremaTHKH sxruotiaeT B ce6a o6u_temaTe- maTHmecxxti maTepHan, Heo6xo.usHmiA2 LIna: a/ oznalaexHst npockeccHefi abitmcnwrena-nporpammucTa H Ltailbaetiweit npaxTwilectioti pa6oTta no 3TOi1 npocPeccHH; 6/ npoonweHma o6pa3oBaHHa B BbICIIIHX ytie6aux 3aae.a.exuax; a/ pa38HTHa maTemaTHqecxoro Kpyro3opa riaLuxxca. 06tuHil xypc MaTeMaTHKH COCTOHT 113 Tpex y4e6Hbix npe.rameroa: "Anre6pa 11 anemeHTapHbie cla pimune, 'Ma- TemaTH4ecxxiti anallH3ff H ffre0MeTpHSIff. 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BO o6uiero meToaHnecxoro noaxolaa rip H xx H3l10)KeHHH. 8 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 firm xsymeHmx ThaemeHTapHble pa3aenob caeayeT npH yao6Hom caymae aaTparxbaTb Taxue Bonpocm, noab.,ie peLeHxe xoTopbtx Tpe6yeT npamenexxx meTo,aoe "bbiculeii"NlaTeM8THKIii C 41pyroA CT0p0111)37 llpH H3rieHH11 'BEACUlmx' paeLlenoa xypca caeayeT axmeHTHpoaaTb pa3moo6pa3mble mx npxno-ilKeHxm x "'enemeHTapHbim 'eon - pocam. 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PaCLL1HpeHHe 1IOH5IT1I1 0 cTeneHH D.aer Ma? repxan LIJIH ynpa)K.HexHil B ToHciaecTeernibm npeoopa3oHa- HH5TX paIIHOliarIbHbIX H Hpp811110Hai1bHbIX IlpH STOM H8BbIK11 aetiCTB1071 H&c( pa,[3.14KatIaMH moryT 6bITb OrPaHHIleHiii KBaL1p8THb1MH pa.o.HKanamx; npeotipa3oHaHrot iipyrHx /14ap',pa1lH0Ha1IbHbIX sbipaxceHlin paccMaTpliBalOTCA B 110pHilKat-HenocpezicTseHHoro npHmeHeHHH CBOACTB cTe- neHH c Lipo6Hbim noKa3aTenem. FlapanneribHo c pacwH- peHmem HOHHTHH 0 cTeneHH HerIalOTCA OT/JellbHbIe CTe? neHHNe cpyriKuHH; B 38Knio4eHHe TeMbl Hp0143BO,LIHTC5I oounth 0630p CBOCICTB cTeneHHow 4iyHKRH4. 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'(TO BbIPa6OTKa HaBbIKOB norapurtHmHtiecKHK orHeceHa nporpammoil K Kypcy BbILIHCIIHTei1bH011 maTemaTaxH. 1.0 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 --4111 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 kypc X Kriacca HaHHHaeTcsi c HarteHmq OCHOB nHHelJ- Ho adire6pbt. Boapocbi, OTHOCALLIHBCR K onpeztenHTensm .11 MATpHUaM, paccmaTpHBaloTcs4 3r_lecb B ,TeCH011 CliF13H C pe.weHHem cHcrem aHHeilHbix ypasHemxii. 3aTem ortpene- 71CfP.'TCN 11011 5ITHO n -mepHoro nexTopa, onepauHH H&C]. BexTopamm, HOHCITHe rnfHef1HOn 3aBHCHMOCTH BOKT0p0B; Bce o(Thine 11011 51THCI HIlmocTpilpyloTcs Ha npHmepax. BOKTOOOB /,'1.By-,tepflb1X H TpexmepHbix/. B x34ecTae np1- meHcq.11151 '''',C 401341,17K HOHRTHa TINHegHOn aare6pH paccmaT- peuleHHq aaLta9 HHHeilHoro nporpam- mH.,,,Jo,,3Ho31. 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T3 Tomei rioaHonoeT noBropwrb maTepHaa, OTHO- CgalHfiC51 h ;.a3nil9mbits.3 pa3Ilenam xypca MaTOM8TAKR, 4TO BecbN4a 13LKHO B C551311 C opeLtcToorummH yi1ailtHIAC51 Bb/- nyckfibmili 3aieHalH / a Tae, B031\40)4KeT 6biTb HPHHAT 6e3 poxa3aTenbcTsa? OT H3rIeHH5 ,LIBACTBHTBIlblibIX qHcen cobepwaeTcs ecTecTaeHHbni nepexop, K H3ymemno t1HCII0BbIX nocneao- HATeAbHOCTeg H MX npepenos. Flpm snepeniii4 BOHSITHSI npepena nocnepoaaTenbHocTH Ba>KHO, 4T06bI yLiaLuaeco cocTasium ce6e scHoe npeacTatineHHe o KoHxpeTHom is IlaCTHOCTH, 4)H3atiecx0m/ cmbicne aToronoHaTHsiii acex nenHmHH, ckHrypHpylommx B ero onpepeneHHH; nponeaeHHe ?He AOKa3aTerIbCTB Bcex Teopem o npepenax Ha ocHone E ?onpeztenemig He o6s3aTenbno. CX0.11HMOCTb MOHO-' TOHHOA orpatutneHHon BOCHBAOHaTellbHOCTH mo)KeT 6bITb ,110Ka3aHa Ha ocHone onpepeneHHs pegcTexTenbHoro 4Hcna KK 6BCKOHellHOCI LIBCCITHLIHOR LIPO6H. B KamecTse oilHoro Ra npHmenettHA noHsTHs npePena nocneponaTenbuocrx 1104e3H0 03H8KOMHTb ytIaLLIHXCH C npHmepamH peuiewas ypasHenHit meTopom HTepauHR. B CB51311 c ckopmynamm cymm apHcPmeTHmecxoik H reomeTpxnecxoti nporpeccHH ynaLuHmcs moryT 6bITb noxa3aHbi H ppyrHe npHmepb1 xo'"' HellHbIX x 6ecxoHemHbix mHcnonbix pspon, p.onycxaiouutx HenocpeacTaeHHoe cymmHposaHHe. Cneppoulas Tema sianseTcs aanepuieHnem Toil tiacTH Kypca maTemaTmm, KOTOPHS nocr$suleHa HaygeHHio oppenb- HbIX KOHKPBTHMX anemeHTapHiax CPYHKUHR, H OAHOHPBMetr- HO noproTannHaaeT nepexopK H3rieHmo o6uutx meTopon HccneponaHms epyimuisik. PaccmoTpeHHe psaa o6LueckyHK- uHoH8nbHbix noHsTmil casabumeTcs ariecb c nonTopeamem 0630POM CHOfiCTB HaysteHubix paHee ckyHmulti. B %mane snemeaTapHbtx flueMOB nocTpoemis rpaCI3HICOB 4)THKUH.11 12 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP8Q-nn94.7nnflil'ZrIntlA nnn Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 paccmarpm.BaeTcm Bompoc o npeo6pa3oBammm rpac1m1ca fsimmtc- HMI npH ammelimom npeo6paaoBammn meaaYmcmmoi-i Ham 38- BHCHNiOn nepememmoil. Bropoe nomyroialse IX Knacca tiocBminaeTcm mariemmio zi.11(1)OpepemumaabBoro mc,/mcnemam. rIpm npoxo>Kaemmmro ,Temb! /Kax H 000TH-2,Ely1OLLIHX Tem maTemaTattecKoro amaiim- aa/ Kpa;.ime E3a2;Hot 4To6b! ytiatilmecm mcmo nOusinu emblc.u. H3y9ae\sbrx noHH-rwi H meroLkoB (B qacrmocrm, 1.)1:3114ecKiiii cmIACH), pa3060811.110E, H ocHOBHbiX. 83a114;)C9,2351X mehuly HWAH, oBRaileam BB>KmeMmlumm mx 1)opmaabmo-Aorm4ecKmA ypoBemb m3no>me Hum :,s:iTypkiaila Ltom-Kem 61,1Tb TaKHM, 4T0Gbr OH 06eCnetiFf- Ban OP.3oilia6o4fiocTb BbiBon.03 npHMeHHTeribli0 K TOmy KnaC- Cy :1)ynKLIs11l, C KOTOpbIM y9autio.lcm ripmgeTcm CTOHKHyrbesi B LuKoHblION: Kypce Fl B npaKTHLIOCKOn c.,a6oTe. 1-13.qminmee yariegemhe cl3opm,r_in.bm0-06ocmoB9Tenbm014 cTopomofi /crpem- nemKe. iKaaaTb Kia).Kfly10 Teopemy B mam6omee cria6blx. opt.:.31)40,Kemm51x, 31loyn0Tpe6aemme mcKyccxaemmbiN?im nper rmBope.taptlimm npH\tepamn Ft T.n.' B LiaHHOm Kypce - ;,..71ecoo6pa3no. ilpm iloKaaaTeabcTBe Teopem moryT HC- nonbaoBaT-Bcci reomeTpmgecKme mexammtiecxxe coo6pa- >KOHHR? NypC X KnaCCa HanffHaC,TCR C mwrorparibmo- ro Cyi.ueCTBOBB.Hkle OnpeLieneHHOr0 FlHTerp- ha inc merrpepbiBmoil (pyHKIIHn ripHHH:viaeTCff 6e3 LIcKaaa-renbc-PBa. 13 qmcne npmmo>meminl mmTerpana yoTa- mamrimBaexcm 061nee Bbipaxxexxe Tpex axamemiti aprymexTa, xoTopbim cooTseTcTayeT Aaxxoe 3HatieHH9 TpHroHomeTpiimecxoti c3yHKI1HH. FlIBBHbie 3HEilieHHA: CMC 31MX aze cg X, atc aze ot, x. ,L10KH3HTB/IbCTBO TOWLieCTB H petnexxe ypassexidi. 6. TpnrosomeTpluiecxxe Teopemw C110)itemol it HX cneacTaxx TparonomeTpugecxxe cpyxximx CyMtvibl it pa3H0CTII aprymexTos. TparotiomeTpwiecxxe cPyxxxxx D.B0iiHOPO H 110.110BHHHoro aprymewra. npeo6pa3osaxste cymMbl H pa3H0CTH TparosomeTpagecxxx 4yxxxixt1 B npossseaeinfe; npeo6paaosaxxe o6paTxoe. Tioxaaarenbcrso Toykaecra peweithe ypassexati. rapmolliviecxxe xone6angs Tyaa, macToTa, Hatienbsaa (-peas. 1-patimx rapmomplecxoro Kone6axxx. flpaseaetme sbipamexxx a i?t cog w 19 ? - Declassified in Part - Sanitized Copy Approved for Release 2014/02/20 : CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 emay rapmotixtiecxoro xone6axxs; cnowexxe x0ne68xxli 7'. FloKa3aTenbsas K HOrapkit,MKKOCKBR: cpyxxxxx / 36 xacon / ElexoTopme cPx3li9ecxxe aaaaqx, npxso,nsuixe K cTe- nexam. C Bp0H3B01IbH1,1MH noxa3aTensmx (peRHOEIKTHBHblit pacnaa x np.). noxsTme o cTenexx c xppauxoxanbabim noxanarenem. 110K83aTerlbHafl 4yHKUM, ee caoticTaa H rpactmx. 1-114cno 're". llorapscPmiulecxas ckyxxxxs, ee CB0ACTB8 H rpactmx. florapxcbm. florapscPm npoxaneaexxs, ,4acTxoro, cTenexx H xoptis. florapuct)maponanse H noTexusponamie anre6pa- tivecxxx abipawerniti. Ilecsruttsble norapmcpmbi. HaTypanb- HUM, norapncpmbi. Flepexoa OT norapscPmon npx otixom OCHOBAHHH K norapxcl)malvt rips apyrom OCHOBaHHH. IlpocTeiluine noxaaaTenbxbie K norapx:Omx,tecxxe ypanaiexxs. Fpackstlecxoe peuiemie ypanflexxii BLaa: 01'= kX -a? 6 M 11. 8. Flonropexxe / 11 1,18COB/. X xnacc /2.1aca B Henenio n nepsom nonyroaxx x 3 ',lace tienlo BO EsTopom nonyroaxx, Bcero 100 ',I/Icon/. 9. .1-1xxeiixasi anre6pa H anemexTbi axxeXxoro nporpammxponaans / 50 acon/ ? OnpeaenxTenx sToporo H Tperbero nopsaxon; peule- sae cxcTem J1HM1BbIX ypanitentik c anyms H Tpems mesa"' BOCTIIMMII c nomouado onpemenxTeneil. OnpenenxTenx II -ro nbpsaxa H MX CBOACTBO. Mxxopw, anre6pexttec- late liononxexas anemexTon onpenenxTems; paano>xeRse onpeaenxTeas no nnemewram cTpoxx xnx cron6aa. Pelue- axe CHCTeMbt n JIHHeiiHIAX yp88Heffilll C HOH3BeCTHIAMK no ckopmynam Kpamepa. CarTax xeconmecTxocTs aeon- peaenetwocTs CHCTeMbl JiHHethbIx ypannexml. 20 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 MaTpxua, cnomexxe H ymaoweime MaTpH11. E_IHHHIP? Hag marpaua; o6pa1'tax maTpxua H ee abpthcaelixe. MaTpH,01a2 aanxcb CHCTeMM JIHHefiliblX ypaaxexxii H ee pell1eHH$1. 110HCITHO. 06 Pi -merutom ninieRaom npocTpancrae. rlONSITHO 0 3aaamax xxxefixoro nporpammxpoaaxxx MOTORaX HX peumunts. 10. Komnnexcame tiacaa / 14 qacoa/ 11oriaTite o xomnuexcaom xxcne. Th&1CTB&15 H? xom- nuexcxwma qucnamx B anre6paxmecxon cpopme. Tparoxo- meTpxqecxas cPopma xomnaexcaoro tmcna. Ymitoweinte aeneinte KOMIllleKCHbIX MHCfl B TparonomeTpitmecicon (pop - me. 14313neneliHe xopxx 113 KOMI1l1eKCH0r0 4HCIla, KOpHH 113 eiallHHUM. cDopmyna Myaspa. 11. Maoroxnexm. Ypaaxexxx abiculax cTeneuen / 22 qaca / LIOJ1MMOCTh maoromneaos; aenerme c ocraTxom. 'NKr' pee be3y. OCHOBHAR Teopema anre6pm /6e3 aolca3aTenbcTaa/ ee cnejacTaise. ELILHHCTBeHHOCTb maoroquexa ti cTenexx, aa,clarmoro CBOHMH 3HalieHHAMH B P1+1 Tolmax. Pa3310>KOHHe mnoromneaa C AerICTBHTB1113Hb1MH K03CI4HLIH- eHTaMH Ha JlefiCTBHTellbkible MHOWEITe/IH nepaoli x aTopoft cTeneati. 12. IloaTopme /14 RaCOB/ X1 Knacc / 2 'lace B merm. Boer? TO nacos/. 13. TpaacuemilexTxue ypaanexxx /18 qacoa/ noxaaaTentame ypaamexxx. llorapxcpmxmecxxe ypaa- HelIKA. Tpsroaomerpuxecxxe ypaamexxx. 21 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247Ann4Innn4nnni_sz ? STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20 : CIA-RDP80-00247A004300040001-8 ? 14. 1\om6HawropHica H anemerrrm Teopmx BepoHT-HocTek /22 tlaca/ Pa3merueH1i9, cogeTaH HST H nepecTaHOBKH: Cay,iarnibie CO6bITHA? 110H1THe 0 BepocmiocTm cobbrrHg. 1:3mtmciteHae Bepowraoc-rell B caygae KoHegaoro nong CO- CbITHH. IlecoBmecTAmbie 4 He3aBliC4N4ble COCHATHH. C:10- 4elime H ymaomeHHe BepooTHocTeil E3 Bpocre.t1wHx C;Iy- qa5lx. . I loBropeHHe Kypca "..,?91-4,a6pa g 3nemeHTapHb3e d_IyHKUMH" HeKOTCTWX BonpocoB 1ypca maTemaTwiecKoroaHaaHaa /1.111) 'Jacob/ MA TEN\ AT 1.1Li ECK 1-41 Al -1A.11.13 1:\ Itaacc /4 gaca B Heaemo B nepBom nonyro.naH H 3.1a. L aemo Bo BTopom, Bcero 134 9aca/. 1. 1-13mepeHHe orpa3K03, iei csi 1'0 bnbie smona / 8 48COB LlecsTH4Hoe x3mepekine oTpe3KoB, 1-1oH9THe 06 lippa- LtHomanbubix tiHCTUIX. jaecATHtllible npH6aH>KOHHS HppauH- OHarlbHbIX gitcen. ecTBYreJ1bHhIe sixci.ta riefICTBIlff HHMH. LIHCJI0BaH OCb. 2. u,HcnoBme nocaer_LoBaTeabHocTx H HX lipeae.nbi /26 qacoB/ I 1oH9T4e o HHC.TIOBOH It0Clier_10BareabHOCTH. A.pHCIWOTH- ,ieChail H reameTpriecKas: nporpeccini, Pexyppear Hme COOTHOLUBHHH. Mero.a maremarHtiecKoH Hair4yKu4H. l'IoHHTHe npeiieza. cilHaliziecKHe npamepo. I1pc-aen cymmbi, p/i3HOCTH, npom3BeEteHlut H 9acraoro, C..yine.corBo- BaHae npeaeaa moHoToHHoll orpaHlVieHHOii nocaet_iosaTenb"- HOCTH. Cymma HileHOB 6ecKoHetmorf y6biBaioateH reomeTpxt4ec- K0f1 nporpeccHH. 22 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 3. 06wee noHRTHe o cpyHxuHH. flpegen layHKILIH14 / 24 mace) / 06Luee onpetieneHme dprucumt. Cnoco6bi 38aaHHH :PyHK1.11411. 0603Ha4OHHe 143),HKUHOHai1bH0ii 38BHCHMOCT14 H ero mcnonbaosarme. 13o3pacraHHe 14 y6b1BaHHe cyliK111414: N4/11KCHN4yN4 H MYt- HHNiy.M. eTH hIP H HeLleTHble cPyRKIIHH, cBoticTsa HX rpacimxoB. Fie: ,:i cprixuHH. 06paTHbie ckyliKuHH 14 HX rp8- 1)AKIi. 3nemewrapHbie CTIOCO6b1 TIOCTp0f4HHR rpacpxKori civHx- ? UHP10 Flperten cl3yHKUH14 rip H x--w0=13 . Flpeuen cliyHxuHH npH x a. HoHHTHe acHmnToTbr /BepTxxanbHoti, PO- pH3OHTEIJIbHOR H HaxnoHHoft/. Teopembi o npertenax cjiyHK Heripepbr8HOCTE, 4)3rHKUHH, npamepm paapbisHbix ckyHKLIHCI. BeCKOHe4H0 manble H 6eCK0He4H0 60Jibull4e. CpaBHeHHe 600liconeHHO Mallbtxr, 3KBHBEIlleliTHble 6ecK0Het1H0 manbie. tpn o-rHoweHHH cHHyca K aprymeHry, Koriza aprymeHT cTpemliTcH K Hy1l10. 4. FlpoHaBoaHaH H ee npHnoweHHe /64 Haca/ 3aLiaHH, npHBoaHatHe K 1104151THK) npoHaBormoti; aaaa Ha o HaxoHc.aeHHH mrHoBeHHoh CKOpOCTH )3.131.1>KeHH5t, 3a L1848 c xacaTenbHoil. IloHHTHe o npoHaBoaHofi; mexaHH- gectuti4 reomeTpHHecKHA CA41)1Cn Tip01[380,a140g. 1-10HHTHe Bropori upoil3B0/1H0i1; MeXa1114t1eCKHC1 Cls.4b1CJI BTOpOg npo- H3BOLLHOH. ipoHaBoil.HaH cymmbi, p83H0CTH H npoHaBene- HEM aByx tymutHH. FlpoHaBoD,Hasi cTeneHH c HaTypanbHbim noxaaaTenem. n pou3soaHa mmoroLineHe. F1poH3Bo.ranag 48CTHOr0 Alayx cpyuKuHA. flpoxaBoanact CAOACHOR yHKUMR. FlpoHaBoaHas o6paT- Hen ckyH1UU1414. lpoHaBoaHble 110Ka3aTer1bHOil H norapmcbmkt? gecKok cicvmulik. !Ip011350/21,Hble TpHroHomerpHmecxxx tymutHH. FlpoH3- Botauble BbicLuux 110pHaK013. 23 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20 : CIA-RDP80-00247A004300040001-8 Declassified Teopema Ilarpanma. CBC13b nospacraaaa Kam y6bisaaaa opyalcuma CO 3H8KOM ap0H3BOLLHOfi. HaX0XCLIeHHe aacrpe- mymoa ity/IKLIHH npa ITOMOLLIH npou3ao.cmoti. ilpameueame nponasomfoll K HCCIlell0BaHHIO CPyincumti ii nocTpoeamo rpactamoa. Peweaxe aaztati Ha maxcamym H MHHHMyM C npameaenaem Itp0H3BOLIH04. Aki4xpepeanuan CIVHKIIHH H ero npitmeaeaxe K npa6arr. WaHHOMy BlariffCneHHIO 3H8ReHlitt cPyHKIIHH. LiaCTHWe npoltaaoatime ttlynKLIHH asyx nepemeaawa. FloaTopeame 12 4acoa/. X anacg /3 qaca B nelaemo B nepaom noiiyroiM ii 2 'taut B mei:team BO BTOpOM nonyroamit. acero 95 macoa/ 5. Heonpeaeneaabia lamerpaa /20 macoa/ 3aztama ;wawa/lemma cOyalcuaa no ee npomasoanoli. rlepaoo6pa3aan cpymaillia a HeonpezteneaHblA RaTerpan. OCHOBHble CHOCICTBa aeonpefienemforo aarerpana. ?CHOW" Hwe cPopmyam lorrerpapoaaaaa. FlpocreALuxe carat's 349-"' mem,' nepemennmx. HIHTerpnponanme no qacrsim. 6. Onpeneneambiti unTerpaa / 25 macoa / 3a.raava, npaaorinuate K 11011SITHIO onpezteneamoro mu- Terpana: BblI1HCJIeHlie nnowaita HpHBOJIHHORHOR Tpanemaa, onpeaenexae nyra no AaHHOR cgopocra ttappaerma. On- peneneanm11 maTerpaa KaK nperlea maTerpanbaux cymm. OCHOBHble csoAcraa onpeaenenaoro xaTerpana /6ea ao Ka3aTeabCTBa/. Onpe.aeneanbili warrerpan Kax pucanst nepemeamoro aepasero npeaena mrrerpaposauma. cDopmyna Hbarroaa- Bwiacaenae onpelleneaamx Harerpanoa. Bbituicnenne nnoulaxtelk nnocutx cOaryp rum nomoum onpeileneaaoro awrerpaaag rloacrrue o abpuicaeaxa army- MOB. cl)nattvecame npunomenua maTerpaaa: pa6opa nepemen'' HOU citabloteirrp TIINCeCTH naocaoA cParypia. 24 STAT in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 7. rIpocTeltsune taxclicOepemitHanbHbie ypaaHeHHH / 12 qacoa / Floxsynte 06 06bIKROBBHHOM lilicketeperiumanbtiom ypas- Helms.Lianbable ycnosun. reomwrpirtecHH11 cmbicn .a4c13epennHanbHoro ypasHeHxn nepsoro nopHAra. J.1H4- 4pepeHuHanbHbie ypasHeHms nepsoro nopHara c paaztengio'' ILIHM !MR nepemeHmamx. 8. P a i bi / 26 IIBCOB/ LIRCROBble mud; npHaHaxs ax cxonumocTH (npHama KR ilanam6epa a 11e116Hitua). CTenemdbie pcitabi. Paano" MGM(*) 43yRKIIHH B CTUHHLi paji. PHA Te11/10Pa. Pa340)KeHHe a pg.abt noHaawrenbHolt, norapackmxtiecHolt H TpHroHomeTpHilecxsx cbpucunit BRHOMRallbliblit pn,a. 6HHomHanbHan ckopmyna FibiOTOHL 9.1-10a1'opeHHe /12qacos/ 1X 'mace 411, /2 Race Heaemo B nepaom nonyroAHH a 4 tiaca a He- x:max) BO wropom, acero 122 mace/. 1. B e x. o p /14 macos/ IlomsrrHe o aerrope. Cnowesse a BbIgHTBRRe BeKTO" pos. YmHowease sexTopoa Ha limcno. OcHosHble csoticTsa gefiCTBRii Ha,ct aerropamH. rIpoeHuxsz seirropa Ha 00b. PaanomeHHe serropa no 3.941aHRIAM Hanpaanekumm. Koop- ARlialsbl aerropa. CrancipHoe npoliasenenHe serropos; OCHOBlible caoficTsa cicannpHoro nponsaeneHHH. 2. MeTo,a HooptuutaT / 40 nacos / YpaaHeame npsmoit mom. rlapannenbabie nepneH- Aszynapubte npsimble. flepecegeume npgmbix; Hccneaosa- Hite cscremm asyx ARROARbIX ypasHeHaft c rtaymn Hess- BeCilibIMR? 25 STAT Declassified in Part- Sanitized Copy Approved for Release 2014/02/20 : CIA-RDPsn_nno) ...A7AnnA,,nr,,A^^^. Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 PaCCTOSINHe Me)KIly LLByM TOIIKEIMH. Oltpy)KHOCTb H ee uearp. Flepecetleame ripaMOti C 0Kpy)KH0CTb10, .OByX OK"' pyaceocTe2. Flpooreiiume reomeTpiviecKne mecTe, B TOM =mule annexic. renep6one H nape6ona. FlorinTee o cPynauxa Tlayx nepemeaablx ii ee reomer- pxqecsoe npsocreanemie C 110MOILIblO /IKHHCI yPOBHa. 3. MeTpHtleCKHe COOTHOLII0HKR B TpeyronbanKe H peLuelme Tpeyronmexoe /20 qacoe/ ?MeTpimecame COOTHOLLIeHHA B npamoyronbeom Tpe- yronban/e. Teopemm cmaycoa A KOCHHyCOB. Pewee npamoyronbablx K aocoyronbablx Tpeyronbmucoa. 4. reomeTpirlecalte npeo6pe3osanna /36 macoe/ MHOMEICTBa. 061,GAHHeRHe H nepecegeane MHO>KaCTB. MHONCeCTBa TONIeK Ha ILTIOCKOCTH; re0MeTpliMeCKHO mecTe. COOTBeTCTBHe MHOMeCTB. CammeTpma OTHOCHTeabH0 :memo/. rlapannenbebni ne- peeoc. CHMMaTpKA OTHOCKTeabH0 TORKH. BpallieHHe. HO- MITRE, 0 ABH)KeHHH Ha fillOCKOCTH. FOMOTeTHA. 06Luee norao6aoe npeo6pa3oseene H ero CBA3b c romoTewleii. I-pynnbi reomeTputiecanx npeo6paeoseaxg. 5. n osTopeaue? / 12 qacoe/ X Knacc / 2 viace a asaenio. scero 78 macoa/ CTEPEOMETP1/151 6. AICCROMbl cTepeomeTpau H ex cneacTema /3 caeca/. 7. Flapannenbaocrb B apoorpeacTse / 14 qacos/ Bseamaoe nononcenes Ithy,X .npumbix. ripilanalt naPen" 110AbablX Lova npammx. Yrnm C COOTBeTCTBeHHO napen ,J10abilbIMS cToponame. Yrati oapeuxusaioutexca npammx. 'IlapaanenbaOCTID npamoilH onocaocrs. clapeenenbaocTb nnocsocTelt. Ocaosabre peoloraa napannenbtimx upoexuaft. Flootpoeane .11$06PaXCORNA SMOCK/VC K upoorpeacTseaabis ckgryp. npocTenume sa.aazia aa?noorpoeame H& apoeaum'' OKHO.M Reprence. llepannenbabla nepeaoc B npocTpeacrae. 26 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 8. FlepneHASIKyngpHocTb B gpocTpaucTae / 25 MilCOB / Onpe.aeneHme nepHeLamynapa K nnocgocTx. Teopebta o lasyx gepneHrimgyngpax. TiocTpoeHme nnocgocTH, gepnex'' AHKV11113H014 X npabsoll, H o6parxag eataaqa. OpToroHanb- Hag npoegugg. rlepneHromyngpm it Hagnomtbie.Teopema o Tpex nepnen.axgynapax. Yron npamon c anOCKOCTION CHMMeTP1la OTHOCHTeablle IMOCKOCTII. AsyrpaHable yrnbi x HX HamepeHme. flepnen.axgyngp able 11110CISOCTIt. CBORCTHO DbLflyKJlbZX mHororpaHHbix yrnog. 9. CHCTeM13 KOOPAHHHT B ?apoarpancTae / 12 %moos / CHCTeMa KOOPAHHHT 13 gpocTpaHcTHe. BegTopm E npocTpaHcTse H ,HERCT131111 /MA HH3411. KOOPAHHHT1,1 1343X'` Topa a npocrpaHcTae. CIE8451pHOe npoxaseaeHme Tpexmep- libiX He gropoa. YpaisHefigg 11PaMOR H 11/10C1LOCTH a npocrpaHcraeHHoil cHcreme goopiamiar. reomeTpiriecgoe gpencTaHneHxe (PyHxuxu 4:mg gepememmix c nomouxbio nosepxHocrx. 10.MH0r0rpaHHHHH / 24 mace / npH33,48THtieCKHS1 11013ePXHOCTbe nPH3Ma. BOXOBEICI it 11011Haa HosepxmocTb- HpH3mbi.06.bem napannenenHneaa it gpxambi. FIHpaboma. CBOACT130 napannenbHmx cettemai gHpamx''' Abl. BOKOBell noaepxHocTb Hxpamx.abi /nonHog H ycgmeH- Hon/. 06sem napamLabt /nonHoil it ycegeaHog/. ilpaganbkibie maororpaHHHHH. 11.11oBTopeume/ 6 macoa/ 27 - STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 AJL_Kmas. /2 %lace a netuemo, Ewer? 70 macoel. 12. Kpyrnme Tena / 20 gacos / lamina oxppuxocTx it nnouxamb xpyre. Lienxxiapatiecxasi noeepxxocTb. 1.1xnximp spamexxx, ero paeaepTxa it noeepxxocTb.. 0672em umnximpa. Komviecxee nosepxxocTb. Koxycm /nozwbi K yceitex- emit/. ex peesepTxx. Boxosee nosepxmocTb xoxyce /non"' HON) it yCIPMHX0r0/. CcOepa H wap. 14so6pamemxe 'nape. Beammeoe nono'' AMMO? nnocxocTx X coepm. flosepxxocTia cctiepm it XX qacTett. 06sem wape it ero macTen. 13. 3nemexTm maTemaTxneceoft norxxx. 3exammxTent.- mmeeamemaxxe K xypcy maTemaTxxx / 20 tiacoe/ BbICKX3b11381XXX H OCHOBlible onepauxx Hata IMMIX: /KW"' rkriecxoe cnoweeme, norkriecxoe ymmoNcemse. oTpxuaxxe; CBS3b c onepauxamx Haiu meomecTsamx. Heo6xo,axmme H AocTaToggme ycnoswg; npgmag H o6pamee Teopemm . Bonpoc o npoxcxoegaexxx maTemaTwtecxxx noftxren. AXCHOMbl, Teopemm it onpeztenexue a anre6pe x reomeT- piut. OnmTime npoxcxowiaeaxe excnom. Floxerxe o6 ex- ceomeTwiecxoti meTo.ae. rpynna. X011b110, none. Teope- Txxo-rpynnosax Tolima epexxxxareomeTpkno. 28 14. floeTopexxe nnexemeTpxx H crepeomeTpxx Pealemma earlam /30 qacos /. STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 BbILIIACIWITEJIbHAA MATEMATNKA Ix XJiiCC - / 2 maca B He 11e.1110 BO BTOPOM nonyrozont, xcero 44 qaca/ I. .Buqxcaexxx no aaLtaxxoli cpopme /24 aca/ Tommie x npx6riaxceimme 4111CAll; a6conxrrnas n OTHO- cirrenbaas norpeumocTx... Beptuge BACPPM. Oxpyrneame micas. FlorpeWHOCTR oxpyrnemxs. FlorpewmocTx a pe- ayAbTaTe apx4)meTimecxxx AORCTBKit mart IIPMCIAMPKOKHMMII qxcnammt. 3Haqauxne uncOpbi. .liopmaabsas cOopma aanacx qxcen. npaaxna .oxpyrnem140 Pe3yabTaTOB npx MaCCOBMX peCileTax. Ta6n011b1 43yNKUM x ItX 061.1111B xaparreptiCTMKele War Ta6axuka, TOLIKOCTb T86/I01IM1 T42611011Elble paamocTs, mtheit- nag HilTepflOZ15lUK a ee ?MCBOIlb30aaaHla ups pa6oTe c _Ta6mtuamx; T86naubi nponopaxoxanbamx qacTefi. ripeticTasnexne (popmyn.ai a BaO nocneaouaTenbxoctx anemerrapamx onepautati /pacnachiaanxe (popmyaba. I lo - px,n.ox nunonxexxix a cnoco6b1.36ffitC0 Bbil4itC1101111111 no WV' .ClaHHO4 ckopmyne. Bbiqxcnexxe axamenxtt Muorognexa no cxeme ropxepa. KOHTPOIlb BbigHC/IeRtel no aa.aaxxon (popmyne. 14cnonb- 30Bekine rpa40xxoa, Ta6111191111bli pa3nOCTegy KOWTPOALIHMX cPopmyn. 29 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300n4nnn1-R STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 2. 14cnonb3osaarde norapecOmos BbIliRCHOHNA / 20 qacos / BbPiXCIIBXXX C nomouabio norapecOmos. riPHBMbl ABPICI"' BMA eau rteceTxtuframs norapscbmamx. Ta6nsubt norapxcia- MOB X XX xcnonb3osaxxe. Floxerxe o ckyssuxosanbnoil uisane. florapectudenecsas insane. TIorapecbmwiecsax immense; o6ocsosanxe OCHOHHIAX AeRCTBX11 Ha Heil. TperosomeTpmmecsme lusanka 1114Heilltif X XX IICHOHb30Bakilie. lipxmepbt abmonsexxx som6axxposatr libIX ilea CT BRA . X vivo /3 gaca B seuemo s sepsom nonyroaxx x 2 qaca B Aemo BO sTopom, Boer?. 95 =tacos/. 3. Liscnessoe peulexxe ypassexxfi / 23 qaca / Csoco6m rpy6o2 011eHX11 Kopaet ypassesek. YTORHOHKe sopeeti c somolubio HHHefiHOR X ssaupa- TIPIHOR XHTepnWISIXXX. MeTOIX XacarenbalaX. COBMeCTX00 npxmexehme MeT0,110B XOpJ H XHCHTeribliblX. MeTo,a wrepauxti 1:61LX ypassexxx c 01XXXM HeX3BeCT" HUM; 120CTIITO4Hble yCHOBXSI CX01XMOCTX xTepaxxoxsoro npouecca. flpx6nxixexsoe gemesue anre6paxmecsxs ypasaesx11 Tpemen K ReTsepTolt cTenesell.MeToxtbz Ilasuoula x Thula. 4. CacTemia ypassessit / 20 tiacos / Peluesse CHCTAMM nxxellsbuc ypaaxeseft meTortom raycca. Komnarruas cxema." Hasownesse o6paTuoA MaTpHLIM. Hpepauxosabie ketteTO/Abl peuiessx CHCTeMbi ypassesnit: npocTas wrepauxs 0 meTou, 3eituenx. ? rIpsmepbi pemexxx cacTem ypassesid 'me TOAOM xrepaLIHR. 30 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A00430ounnn1-R ? Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 5. 1/InTepnon5ium H 3KCTpal101IgLIH5T / 20 tiacos / Ta6muixbie pa 3HOCTH pa3111111H131X nomaKoa H HX npoc? Tell Luxe CBOACTBa. TOIIHOCTb IIHHeRHoti HaTepnorniumi, aa.a.paTiv-Riasi kniTepnonnukin. 3aaatia nocTpoeimst mnorogneaa no ero 3natieHimm. 1414Tepnons1uHon Has cbopmyna flarpan)Ka. VInTepnon211140H?. Hble cl)opmyabi HblOTOHa 111151 paBHOOTCTOSILLIHX y3noe. Flpffmenenme HHTeptIOJIALIHOHHbIX cbopmyn DAR excTpa? nOnSILLHH H o6paTnoti inrrepnonnuHx. Y nnoTHeHme Ta6nxia c nomoutwo HHTep11011,51LIHOHIMIX rkopmyn. 6. LlitcneHnoe naTerpHpoaanne /14 LUICOB/ I1pm6moKenHoe BbILIHCJIeHHe onpe.aenenHbix turrerpanoe kteropam 14 npnmoyronhainKoa H Tpaneunct. cl3opmynaCnmn? coria. I Ipoi3epKa TO'IHOCTS4 pe.3yabTaTa wicriemioro gaTer? plipoisaHast ii3Nteuemiem wara. 7. LI vicawitioe peweHme .E11411.4epeHL1148J1bHbIX ypameHHii /10 tiacoa/ iv\ eToa ;9i4iiepa aim oaaoro .andxpepeHumanbHoro netinsi H CHCTOMbl apicfrPepeHunanbxbix ypasHeanii. FloaTopeHne / 8 qacoa/ l'EMATHLIECKHE MALLII-11-1L-31 11POCPAMMI4POBAH 1/1E lx Knacc /4 LiaCa B HeLtemo BO BTOpOM nonyroaHH, Bcero 88 'lac os/ 1. anexTponnbie uncbpoabie BbrikICIII4TellbHbIe mawxmbi / 4 Liaca / Ha3HEILIPHHe jLIBM. 06bem abruicnxre,ammx pa6oT 31 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 --a B coapememimx 3aaagax. Cxopocrb amnonxemix pa6oTm, oftem nepepa6aTmaaemo11 ku4opmauxa. OCHOBHble ileCTH 3LU3MI HX Haaxagexxe x B3aHMO"' CBC13b. Aplickmewiecxoe ycTpoficTeo, 11.9MHTb, yeTpoticTso ynpaunexxx. BB03. BbIB03. flpkuiummanbaax cxema Maul MHbI. B3aHMO1erICTBHe anemekrron Me1.1.1HHbl. FlpHHUHII pa6oTm meauxxm; KOMeHabl, aapectiocTb. 2. Aptuipmenviecxxe OCHOBbl nporpammxpoaaxxs /10 qacos/ 1/1306pa>Kettile tfliCeil a 1103HUHOHHOR cxcTeme. florpeiu- HOCTM npx 3TOM x3o6pawexxx. Llenme 'IHCJ1 BABownioR clicTeme. Flepeuo.a uenmx cer' H3 3BO14LIHO1 B .aecsTxtumo, H Hao6opoT. npo6xme mxcna B 3BOHI1HOR cincTeme. llorpeumocTx npx x306pa)Kexxx tIHcen B 3B0H11H01 cxcTeme. ApxtrmeTxtiecxxe onepauxx B aBOHtIHOti cremTeme. lie - peeo,a n.po6xmx tiHcen 1(3 3BOPPIHOti CHCTeMbl B CHTII H nao6opoT. TPoximax, 4eTseply4iax, aochmeptiquax, inecTxanua- Txpaqxan CHCTeMbl. CBC(3b 3B0Ht310A, geTeeplitmon BOCbMepHt1H0ti clicTem. 3anncb qHCeA B HOpMel1H30BeHHOM Baize. 3. OCHOBHble CBeLLOHHe 0 nporpammxposamut . / 38 macoa/ I4KHOCTX peLueHHmx ygaLuxmcx 3aga4, ray6HHm noHxmaxxx MM maTemanviecxoro coaep- wauxsi aagalt, cTeneHa CaMOCTOATeTH,HOCTX, npoxeneHHoct ynatuxmcs npx petneaxx 3atlan, g npaxTxttecxoro 3Hage HVISi 381:1114, emy B COOTBeTCTBER C xaarni4xxaiiii01-1Hbitvil4 xaparrepxcTxxamx npucaaithaeTcx xaanxdpxxauxx BbIqMCJIIr Tenx-nporpammxcra Broporo max TINDTber0 /II0BhILLIeHHO ro paapciaa. 40 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 8. Penuemte KBBAKCPKKBUKOHHOR KOMACCKK 3BHOCKTC0 B nporoKon, noammuzaem,bill BCM* KJIBBBMK KOMKOCKK. flpoTottoa Kaarinciamicauktomioro aatieTa COCTBBABBTOK B Asyx 9Kaemnimpax, OAKH 1(3 Koropmx xpaHaTca B uncone, a apyroa-aa npearipmaTix. Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part- Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 *:77113',.5TP)15-065 - BEACM CBCA paccb53 513 monbvioirepHara ,,Na 18 ,..711aTmmec1(19.11x.10?ti.Pm-,,,ApP, ,eisom-roiyippe4mes,notm, ."!0Wifepc.,,40*liliali*O& ? ? iioncoHeHe ?ft . ne:OeniitiOte 'flanbinvO16.?" Ha extieviae II ? VOW A ,4zr nocri ??.,,rlepetleHe ?pie? ss y*. tiro - '4 )?ripm???,,t;?-,,, ? b?-??,t, - ? evil:, nSiiaia'6ar 63eMeTR U '1- ' encH ? , , A. ErTcce.,pe6nra cbtrpaioi He nocnemooto pois aramom Xito4emy-To ocnomminach Apyrax xopowo 3iswioma0.HM WK031 -%; - uenTpe,,MocKpm. 1.1a,..geTeepiorl ,ayia/He...ram.tos,cat--:.11eo'xme pe 1'! 55"Aonos4i owns+ npHt,61Zt-3rb tHaoAssotwoa.,-*,,Hemyt-cle . A is UsIRoB .eAaawipa iesepore AHApei.41lieoiaeaa3rii Aciemoro- _Oat*, yearommoo. Harins co ace crpanbt museum am Mar as peamstimausam neAarortneuntx co- sem* erilasmasu tam. Artribumaimaill mirepaar samemarenen mro sperioAssar a sari ispymteinurra ymetnie mania mans. Kpome arei, y mac CCM norm este Tomato rpm lease aritona? a Kruse, BensarpaAe, Hosocrthapcice. Kam me npoloAar yme6ami Amor a AMMIAKOIMSom warepaa- ire? Kporpamma no mod mamma sue maximums*, ova aro- pese CIO= C aiirmyrcaol. Ho perm npe0Aoneamom wry cnoiracwrb c sAmmosearem. B sworn aerpyAno y6eArerbco. 3sonox na nepsbni ypox. Hamamacb maw Aowropa spannto- maremamprecaux Palm H. A. Cotopoparicaoro. 3Aecb Her npu- abranCs yve6Heix noco6rol, npospeccop Aosonbcroyerar MUM Merlon a ;mama. On mwraer a mmone Hononwrrenbuide newom -11,0 itsonlle (octrositoi 'type no -cpsmsrae neer anaaertax H. K. harroas). CeroAna pemb ruler o arc remax cpasprearal eanneli. elOnpeaeneHilli coaepatar a ce6e crommo NCTHNIA, CROJIANO IllellORCIL mar, ? Hamawaer nemato H. A. Cmoporantimati. ? Komar, :ma HO crreAyer sarrepacaoarbs. 3ro wro-ro me no- armee Ra ypon a cpeArrei miconel B PomArmse pe6ar cpa3y ammo's. A RbICAR 0 TON, VTO sayma nasomrca w marvel:mar ION pumas. Hacmmmui renal Aommen MMCAMTI cmeno, Paranernmecem. -..44Aer warepeareicuma picama o Mein A emillb.CONlallina. Realplinlalt. Ha nasal ymeimioi crpourca AAanae KaNcOog M- oroni. ryiepio y camoro 0010113111111 orm nyaraior o6Mwe crapeAeram rax ana mune ocaolnym immunity, a trarrepxy npu- _ ',YAM= -cPacralorca, -o6pans maretsarnmeacyro royally. Tap sarcrapirraoi marestannte. 3ro o6narts Ham, swamps 6nme acero K apart-mecum sonpocars csroAtunonsro Asa. AocraToll- R0 mum, RTO All6epHOTRIA CTOONTCA TOrsHo MA Aacapernba apoceccas. ? CerOaRa xw 6yaels rosomorb 0 ARcRoeTHIgx rpyrmas Aniarcernm, ? Haman ypom alarmism A. H. Konmoropoo. N mepes neuronic? mum 3T11 manononameme inona ?Spear' no aoace norm peanbaym qsopsy. Hapncosart maremarnmecaro mepreampo cxemy rpyan Asmaearta, AaApes1 Hartonaeorm npea- naraer iliKonbANKam M3f0TOB1176 ee: ((Etna MTh aomnamin, Ate- amain ?praetor:n:1rib wrot rpya c aapranaamit, nenpemenno npacaemma,a 601Y Pail APABBTCTBOBBTle 3T0*, ? rouopwr OH. rarcoe o6paumone (no Aomanuree amanne) maxoArtr npe- Koacomi OMAR y pe61sr. Bbmcanerca, wro Talmo onormaanam yme ecrb, si Am:0mm? muoromucneanan. Ha ypome o 11-m macce c reopnefi opyrunnul nomnnencnoro nammermoro pe6ar aummmar monoRoi noarop Cpasmo-marema- 111MeCKSM Kaye B. H. ApnonbA. Ypox omens uarepecem, 11055e1 no, Arm nocomgermoro. HoAcmararw, ciall0,110-11epexoaoileyanlo cAenarb, Aonycrms, c nnocaocra BI Ha nAOCAOCTs A, MOXcer He Kammer. A BOT A paaprmaa Ann yrim -- pawn% maamy, VTO msmierca xo6orom Tarim. Orser npocr i HeOMmaaH: xacicrl B Broil mute myscroyerca, Newry npormrs, reomerpumeocui noxo a nonanno. trassronor eMaillo 6m: HOC. CneArosprie ypox ? oGarecroorreAmme. 3W45 mar He pas ROMMINUMMTCA ira o6cyremente smanefunne sonpocts maulers spemenn. BoT Fella ApAnnoo roaopra, 9TO mayna CTOROBATCA nanmoii npeassomenbaorr canal. 14 Aymaerca, *Iry amanure a r* r , tit,"'Frrr LV STAT STAT 0 eel:meg a ymos, samesunix palm senakofienue flunmryn, seliaa A TOT eeveo NeNaine WAROARCH. SOT ATO scretasecaoe loom- Tama! H Aupertrop, e ermined ausAersans, Aa a ace apeman- rens =COM 1101.0XT a !MCC* He aarsyro-ro rie6nro Macey. KaatAbsi ymerant ? nnAmarAyammocrb, miasma napairrep, rpe6yronlaii sc ce6e yoaaceinua ranawr, pacnosnarb ?ammo sanparmame aoroporo nopymeno MN, crapmnm nacrammnam. B onbrre pa6orm MAMA Romano nonesnoro Ana scero mine- rs) o6pa3osanna. N, rcomemao, senna xe aocmusanws nowntrom es rarrenei, npymmiinnax Hanna ymenba. Kcrara, armAcmtn A. H. Konmoropos rpa ArmB Immo owe, maone. Herman Y nero Kona= csoKoAnoro apeman, RAN y AMAMI; ThiC.A91 AORTO - via el aanArmaroo nays? Bpems, nomanyii, canoe Aoporoe, RTO ecrb y ymenoro. Ho a Aannom Crtyliae ono se rpwarica spa. 11, nasepaoe, MOM Kamm pa6oramor saxorwr orAaaarb macrb ero rem ate 6naropoAnber saAarram, noropme pematorca BaBlolAKOBCKOfi maone-asrepaare. HA CHH/AMAX: ? Asca,zsemmu II. IC. Ramona 061.FICUROT rommasmamass samosas rpnouranuis. ? V RaaCCROSIt WEI ? amaAramas A. U. KONNIOTO. Pen. ? Ha mecums. ? Bana-rypnmp TeRRINCRCTOB so Spina nepereensa. , Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 FAT ? HEPOnEKTMBN PABBIATIM COAEP1AHM5J MATEMATMUCRON " OBPABOBAHMH B CPE7IHE2 MAE 1118BMT1I mum, smoo1m2 Teximilecuk yp0BeHB coBpemeHHoro apomsnorma npeA5msammT HOBMEIE donee cepesHme TpedoBaum , M8TeM8THIWOROA HOUOTOBIte BunycicHnoB cpeAHeg EMMA. OcnO13,? maH Hen) cemac 00CTOHT B TOME IIT0611 NOWT') OUP maTemeTm- tieemym HynITypy TiamxxcHt Ao6xTi CO3HaTeRBHOPO anagam 3Ha1lYIHMg. BmecTe c?Tem Hedespasnimo, Ha Kamm coAepsammm itamm cpencTBamm aTa genm dvIeT AOOTHrEITLCH? flpM lepexcHom OTHOIlleHHH IC nalcommllemyOR nehui0#Q pa0o- TbI 1.111t031b! HeodxoAxmo mann) H lipmligHTIY18315110 HOBLI ii coBqp- IIICHCTB0BaHilF1 coAepzaHmn odpesoBamm HE 11TO 0006emm0 BaSko, nrm cdnmacemmm IIIKOJILHOPO itypca C maTemaTyinog nit FraynoL Buie HeAaBHo mx paapia cuTancH samHomepHum HmeHmemt X p.0 MaTX14 B opeAlletei mKone. B nocneAHee Bpemil nonozeHme c eo/Betmo onpaBAmBanx He B030 HO OTBIO inytian allerdentu oonemelil xfare- 1431?10.11TAJMOBe XapaNTepHax 00066HHOOTB pasminn eolipemeg maymm, umm, upoimeAcTsa COOTOXT BO B08 BospacTamulem EipoRom 40;40, HGBOHXX maTemaTxxx x ee meTonoB B pasxmtimue o6naeTm maTepme.0- mat EN3HX? HeodxonmmooTL maTemanmecmoro HeelleA0BaHHR HAOT401Ph HNX mayolux npodnem, peuktimm saxmeAmmx Hapumexo3acrs44mm?0- Aati so mmorom eoAekTsyeT pasimmm Ham maTemaTmmm, npkAae, B xapecTHom cmvone HanecTBeHHo HoEmM xapemep. BURBHNOCB ? 4007'81'011HO 6031BM0e 111CAO odnacTei coBpemeHnog MaTeMaTTITME Teen CBH3OHHUX CXPETHROg /mammoe nporpammxpoBaHmet nnHerimoo mpo- uammxpoBammet TeopmH BeposTHocTew c maTemaTxtlecmoti oTaTmopfuoit, ? TeOpm miqopmagmiiit npmnoxemmg maTemaTxtlecHoR norm msyleHme HoTopx 3013MOIH0'B cpe,AHe?yi MKON6 X 6Y7CT COAMTBOBATB .Heo0m7xmomy nonmeHxm maTemaTmilemA unBTypil Hapmet cTpOrge- --ro ROMMyliK3M. Bonee Tom B nocneAHee BpemH nonyuna wmpeampesmax ? peOoTa no noAroToBite mApoB maccoBmx HpoOeccrat Bnuetux trim MaT9p7anu:- EHTTAiri roA cexTop odygem maTemaTxxe MHOTHTYT8 06Mer0 ii AORMTeXHVItleOlin0 06pa3oBannn ArIH PCXP HpopoAxT orpnue jitoroTony B cpeAHelA moze nporpammacToa?almcnoTene2. OmiT ,21P4R1/12,C MON noTwieeT BOO (ionBmee pampocspaxenme. PassinHOPO poAa r:sitcneptimeLTu ITOBOAETCH B MOO KBO, AeHxHrpmet HoBoox6wpcxet - MoutAaLcNon.II 3cToNoliDA CCP. B xwie mx ydemeamo Aomasama BOSITOPHOCTL cepLeangro rAsylieHRH liiK0JILIDIKEtM4 maTemaTimm. Tax, B 1=COaX aNcncimmeHTanmoR cpeAlleA monm /axxo-Mae-' MaTINOCM0 yunnNe/ AmAemropom Cxdxpcnoro oTAexemmm AH CCCP. nemoJo rIOAPOTOBRI4 riaituacil K Hayuoil panTe no MaTeMEITHIte xnydono PlayqaeTon Knaccmgemit maTemsTm4ecia2 ananxst snememn '1?,opI4n yHFJM1i itomnimmEoro nop9menncrot adoTpaKTHal azredpa 21Pj1114C BOIIPOOLI? Lienorxtmmii axoneppmehT npoBoAxTcH STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 8-1-00017000?1700VL17Z00-08dCll-V10 OZ/Z0/171-0Z eseeiej .104 panaiddv Ado Pazq!ueS u! PeWsseloeCI ivis 'mpaxuazueoS aealtKp oiniucituctIouh 90 1ziondu umhx4dioxoN 1.50ETIOTIOI vdSan0 xmaicdt xult ox 'dm m rld4o 'uakix E vloomadmo YUlt WITOi ox.ulaashmweed alap dSIxox cuourpo HISHNOCIIAlig xii EMOO ixozeisugxna amhSw d1cam0 xmlioamidayloaa UEIX4dIO HOHhOhOI ?iggkeeocedpoodu GM11110110I xax,xm usamdamoud m mmxuaousdpoadu nolIcahmdzanoaa x amxunmxa aulumoIC oYux (mow Buy .7P.edpo ummloom -eh MI WIZOI OH B 'XGhOI Off1100EOHN HMI (IIVE(MdIe1100Od Ia.Elfaro aWsh mmdIanoaa m odpoxxr a 'donmduex 4neudpo 043100h14d1Oh00,1 'mmixalmax Noze amxmoduS ou uzopu.d ammo wawa woaum vinadou wnuarmox Noxpahmramdoaru n golmaawazoxii-oxmaiadon MXMIUWOION 011111DILEC1'1 X UHHOR9fixdu ndRIEcu amino? agaro xouluuoVaduo unodg aelaTTIou imulModmwdo0 xi mmiown aAIopedeRd ou M XVI IHMHOZEIVIOV00 emlaoduoIpawoo 80XMH(IWOHM A(IIOU0dMWd00 0113ROK WOdOIOX OH 'Int -amdaIun fidopIo ou mem eaopud Xemairop ImomoYadu goon ox 'uodh .UHHH1f U0X0OhMMII4d0,11CO M HOHHOSIOONCOHK-OHNI0d09I uoazuoux oath .SIOOHHOMd0fieS a/CH.100E1E14 Hdp9LIM8 sodSx MUM 4olie ant= IHUOSO011 Tumedaodu aR8141MHB 0,105109hMIOWGION oaoxoehmooevx aox -xenon 014119h012Hg 'OXEDPIXPdX NOHHOM1114red/ OLIO ECIOXY011 plISILT11 -0141X11.4 ONUOI IMY0Xell OHHOHORMall ooxxoraeduexauah OUOXIE t , 'HNIILOt:rOX HQX00111411IMOtIlte HHUHHOECI09/OHN-OXMIOdO9I omaxacud oohopRua emmaxt400duoud OONOGIMM HItHh.GWOH IROIXV(i) amxuaoltaroom M eltoY -OliWORSICOH0111114H4 MAX 'O3ST314 HO& a 11110dEl 00HYOU0011 on -OarOdll W0119014 XUX M MMAH.XOX inumnonn OO119 H OH 6gmrlev ? -daTtoo .0XclUOI OH EMHGEHUp? 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Pe!Ass'eloeCI Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 3. ?cam OT ygawmxcH Ao6mBaTscH paanmqem 110HRTIU 3Ifll, oTpesox- cermeHT, oTpesolt-mHTepBaa, 00AH npamaH hold mmpe 6yAeT me- nouoaoBaTLcH AnH reomeTpmtlecxoro-m3o6pazeHmk qmceal pIs reomeT- pHilecxog mHTepnpeTailmm CBOVICTB anrcdpamgeommx o6pa3ol3 /um, 11710H0B HOCA010BaTeABHOCTMI npeAeaa, xLMCfieHHHX 3HatieHMg a3Ire0p8- MtleCHMX Blqpn0HHt nyHELIMM/. DOHHTMH OCR, cmcTemu oceft xoopAm- HaTI ezeAoBaTeamos 4031gH11 BBP7MTBCH 4ax MOM) panme, CMS paooumm annapaTom. MAesi B3aMMHOOAH030a1JHOPO COOTBeTCTBMH 74011*- Ha CT3TB noBeeAHeBHum cpeAcTBom 13 Q$$51 MKOEBHOPO xypca maTe- maTHXN. TeopeTmgo-mHoxemBeHHym goinlentImp ueAyeT doxee pemmTenT3- HO pacnpocTpaHHTL Ha onpewleHme onepaHmg B apmOmeTmitel anre6pe ii reomeTpliN. 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Bum), caeAyeT CWIT3TB OEKnCOM XXV() 6- 11110 M3 nporpamm anropT4Tma M3B310110E4H gBaApaTHoro KO?HH 'WV 2 Tax xax OH MOP al AaTE:xopolimil npnep 771a aHagomoTBa Tran3[DR C PrTepagmommum MCT 0710M141 STAT Declassified in Part - Sanitized Copy Approved for Release 2014/02/20: CIA-RDP80-00247A004300040001-8 8-1-00017000?1700VL17Z00-08dCll-VIO COM/171-0Z eseeiej -104 panaiddv Ado paz!PeS u! 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