Добавил:
Upload Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:

ИНФОРМАТИКА

.pdf
Скачиваний:
25
Добавлен:
14.03.2016
Размер:
4.58 Mб
Скачать
~ 0 ~ e J I e fHXi .
~ ~ M H Omapa,I - o
BOBMOXHO,KTO-TO
-IIO-

w HUmypHbLe modeau;

w u ~ @ o p myau o ~ m r modeau; w @opmaausaqua.

C e f i Y a c P e Y b I I 0 f i ~ e T06 O Y e H b B a X H O M B H a y K e IIOHRTHH H R T H H modenu. TO CJIOBO M H O r H M 3HaKOMO.

H 3 B a C 3 a H H M a e T C R TeXHHYeCKHM MOAeJIHPOB2LHHeM - CTPOHT MO-

AeJIH ~opa6~1eB,~ T 0 ~ 0 6 H J I e fHJIHi CaMOJIeTOB.

T a m e MOAeJIH

BOCIIPOH3BOART H e K O T O p b I e C B O ~ ~ C TPeELJIbHbIXB ~

Y C T P O ~ ~ C T BH, a -

I I p H M e p @OPMY, C I I O C O ~ H On CJI TaB~a T b , e 3 A H T b HJIH J I e T a T b . MOW- HO IIPHBeCTH H A P Y r H e I I P H M e P b I ~ 0 ~ e J I e fmo6yci: - 3 T 0 MOAeJIb

MaHeEceH B ~ a r a a -~ M~ oeA e n b Y e n o s e r c a , M a I c e T B M ~ C T ~ ~ Ca pKX HOT ~e K~T O p a - MOAeJIb 3 a ~ T p 0 f i K HFOpOAa .

B b 1 m e I I e p e Y H C J I e H b I I I P H M e P b I MaTePHELJIbHbIX

e q e H ~ ~ ~ I B ~namypnbLmuI O T modenxmu.

K ~ Kl T. p a B H J I 0 , M O A ~ J I H ~ ~ ~oM6~aI eB ~IIpeACTaBJIsIeT~ c060fi

CJIOXHYIO CHCTeMY. H a n p ~ ~ e~pB, T O M O ~ HCOCTOHTJ I ~ 113 KOplTY- ca, A s H r a T e m , I c o n e c , p y n e B o r o y n p a s n e H H R , c a n o H a H np. Mo-

A e J I b ~ B T O M O ~ H J I S I IIOCTPOeHHaSI, UIKOJIbHHKOM, M H O r O I I P O q e .

B ~ e f iH, a I I p H M e p , M O X e T OTCYTCTBOBaTb A B H r a T e J I b , 3 J I e K T p O I I H - T a m e , p y J r e B o e y n p a m e H H e H A p y r H e sacmi, p a s ~ e pee M e H b r u e

p a s ~ e p aH a c T o s I r q e r o ~ B T O M O ~ H J I R .

J1106as MOAeJIb BOCIIPOH3BOAHT TOJIbKO T e C B O ~ ~ C TOPHFHHB~ - JIa,-k&bpble ~ O H ~ A O ~ R TYCeJRIO B e K y n p H ee HClTOJIb30BaHHH . Ha- I I p H M e p , M a H e K e H H I I P O H ~ B O A C T B ~~H0H 6~ IM0~O~X H O H a 3 B a T b

MOAeJISMH Y e J I O B e K a . M ~ H ~ HKy X~e HAJIsI TOrO, 9 ~ 0 6 b 1H a H e r 0

M O X H O 6b1n0 H a A e T b O A e X A y AJIR P e K J I a M b I HJIH AJIR Y A O ~ C T B ~ pa60~b1I I O p T H O r O , HO c n o c o 6 ~ o XOAHTb,c ~ ~ MbICJIHTb HJIH p a 3 r O -

B a p H B a T b OT H e r 0 H e T p e 6 y e ~ c R ~. O ~ T O MMYa H e K e H A O J I X e H BOC-

I I P O H ~ B O A H Tn~ ~ m @OPMYb H p a 3 ~ e pY e n o B e Y e c K o r o Tens.

q e J I b C O 3 A a H H R IIPOH3BOACTBeHHOrO p o 6 o ~ aCOBCeM A p y r a R .

P O ~ OA OTJ I X e H BOCIIPOH3BOAHTb H e K O T O P b I e @ H ~ H Y ~ c K ~He~f i c T -

BMSI Y e J I O B e K a : Y M e T b 6 p a ~ Hb I I e p e M e q a T b A e T a J I H , 3 a K P P H B a T b H P a C K P P H B a T b ~ O J I T ~H I I I P . HOAJIR AOCTHXeHHSI 3 T H X qeJIefi

B H e U I H e r O CXOACTBa C YeJIOBeKOM COBCeM H e T p e 6 y e ~ c R .

5 6. C(TOT ~ K MOAeJlHpOBaHHe~

37

C B O ~ ~ C T B ~ M O A ~3aBHCHTJI O T q e J I H

 

MOAeJIHpOBaHHH. M O A ~ JOAHOrO~ &3

T o r 0 XU?

0 6 5 e K ~ a6 y ~ pya 3~H b I M H , eCJIH OHH CO3AaIOTCR AJIR

~ I H @ O P M ~ ~ M OMOAeJIHH ~ I ~

K ~ o MHaTYPHbIX,~ CYqeCTBYIOT e q e U H @ O P ~ U ~ . + U O H I CMOW~- ~ L u H. ~ T ~ Y AIIOHRTb, s T 0 AJIsI HH@OPM~THKLIHMeHHO OHH H

IIpeACTaBJIRIOT H ~ H ~ O J I ~ L U EHI $H T ~ ~ ~ c * .

ECJIHH a T y p H a R MOAeJIb 0 6 a e K ~ MOAeJIEIpOBaHHsI - 3 T 0 er0 @H3&3uecKoe n o ~ o 6 ~TOe , M H @ O P M ~ I & H O H H ~MOAeJIbR - 3 T 0 er$ #. OUHCaHMe. C E O C OOIIElCaHHR~ MOXCeT 6b1~bCaMbIM P a 3 H b I M : B e p -

~ ~ J I ~ H T~. Ie M. CJIOBeCHbIM, OIIHCaHHeM H a eCTeCTBeHHOM R 3 b I K e , M a T e M a T H s e C K H M , I ' p a @ H s e c K H ~ H A p . H a n p n ~ e p u, e p T e X C KO-

p a 6 ~ 1srBnsreTcsr~

ero r p a @ ~ s e c o~ nkn c~a H~ n e M , a c T a n o G ~ I T ~ ,

H H @ O P M ~ I & H O H H OMOAeJIbIO~~ xopa6~1~1(PHC. 2.1).

--3

I

* B H a y K e C y ~ e C T B y e Tewe OAHa Pa3HOBkiAHOCTb ~0~eJIefi: 0 6 p a ~ a e ~ b 1 e

(kiAeWIbHb1e) MOAeJIki.

Hanpki~ep,B Q k i 3 k i ~ e :M a T e p H W I b H a H TOYKa, a6co-

JIIoTHO

T B e p A O e TeJIO,

k i ~ e W I b H b 1 f ira3; B MaTeMaTkiKe: r e 0 M e T p H Y e C K a H

TOYKa,

~ ~ C K O H ~ Y H OkiCnpT .~

C O B P ~ M ~ H MHCTPYMeHTOM~ I M
p a a ~ o e~ a 3 ~ a s e -
np0-

~ 0 p a 6 J I b ,K O M e T a , XMBaSI KJIeTKa; JE6JleHUe T z p ~ p ~ drp03a,b ~ : COJIHeYHOe 3 a T M e H M e ; npOZ@?CC:nOJIeT P a K e T b I , S I ~ e p H b 1 fBBPbIB,i M3-

M e H e H M e CTOMMOCTM a ~ q M f Hi a @ O H A O B O ~ 6~ ~ p ~ e .

--

Tax Xe K a K M H a T Y P H b I e , H H $ O P M ~ ~ M O H H PdOd~ I ~

OAHOI'O

M T o r 0 x e 0 6 n e ~ ~IaI, P ~ ~ H ~

~ H ~AUJ I ~~IPH~ BHH~~ Iqenefi,X~

MO- *

r Y T C Y q e C T B e H H O Pa3JIEIYaTbCSI. -

 

 

 

BOTIIPMMeP . R e p e ~ K 0JIIoASIM

IIPMXOAMTCSI 38IIOJIHSITb BCe-

B 0 3 M O X H b I e ElHKeTbI, JIMUHbIe KaPTOUKM. T a ~ c ~AOICYMeHTbI

M O X H O P a C C M a T p M B a T b K a K pa3JIMUHbIe M H @ O P M ~ ~ M OMOH-H ~ I ~

AeJIM UeJIOBeKa. no @ O P M ~OHM OAMHaICOBbIe ( ~ H K ~ T ~aI )II0, CO- A e p x a H M I o - pa3~b1e. H a n p n ~ e pB, J I M Y H O ~K~ a p T o r I K e p a 6 o ~ -

HMKa IIpeAIIPMRTMsI, KOTOPaSI XPaHMTCSI B OTAeJIe KaApOB, 0 H e M HMeIoTCR CJIeAYIolgHe CBeAeHEIsI: @~MEIJIMSI,MMSI, OTqeCTBO, IIOJI, rOA POXAeHHSI, MeCTO POXAeHEIR, HaqMOHaJIbHOCTb, a A p e C

z n B a H M s I , 0 6 p a 3 0 ~ a ~c~ee~, e f i ~ on oen o x e H M e . A B MeAMqMH- c ~ y mK a p T o Y K y T o r 0 x e c a M o r o 4 e n o B e x a 3 a ~ e c e ~cbn1e A y I o q M e H a H H b I e : @~MMJIMs, MMSI, OTUeCTBO, IIOJI, rOA POXAeHMSI, rpyIIIIa

KPOBM, B e c , POCT, X p o H m e c x n e ~ ~ ~ O J I ~ B ~ HBM0S 6I .q e c ~ OXOT~ e -

HMKOB, qJIeHOM ICOTOPOI'O SIBJISIeTCSI 3TOT Xe qeJIOBeK, 0 H e M X p a - HMTCX ~ p e ~ n~f ai 6 0 pc s e , q e ~ ~ fKi . ~ BKn A n T e ,

HMC? - p a 3 H b I e M H @ O P M ~ ~ E I O H HMOAeJIM~~.

AJISI M H @ O P M ~ ~ M O H H OMOAe~- JIEIpOBaHMSI SIBJISIeTCsI K O M n b I o T e p . C er0 IIOMOIIJbIo BOCIIPOM3BO-

AsITCsI C a M b I e

CJIOXHbIe 0 6 ' b e K ~ b I , IIpOqeCCbI, SIBJIeHMR. T ~ I C ~ H

MOHeJIb O ~ ~ I

U H0O~ 0 6 p a X a e ~ c HS Ia 3 K p a H e B BMAe CTaTMUeCKOrO

(H~IIoJ(BEIxHoI'o)

MJIM aHMMMPOBaHHOr0 (IIo,Z&BMXHOI'O) mo6pa-

XeHEISI, M O X e T

COIIPOBOXAaTbCSI BBYKOM, T. e. MCIIOJIb30BaTb

TeXHOJIOI'MIo MYJIbTMMeAM8.

I

I

!

1

I

I

I

I

1

I

I

1

nJISI 0603HaUeHMSI CJIOXHbIX O ~ ' ~ ~ K T OCOCTOSIqMXB , M3 MHO-

X e C T B a B3akIMOCBSI3aHHbIX U a c ~ e f i ,B H a y K e MCnOJIb3yeTCSI T e p -

C O ~ O BOIIMCaHMe
0 6 a e ~ ~ a
I M ~ .

MHH 4CUCmentU*. .B ~ O J I ~ I I I H H C TCJIyYaeB~ O ~ % ~ K T ~ MOAeJIMMPOBaHHR RBJIRIOTCR CJIOXCHbIe CMCTeMbI: IIpMpOAHbIe, T e X H M s e - CKMe, O ~ I ~ ~ C T HBA~p. H H ~ I ~

M o A e J I b - 3TO y n p o I q e H H o e n o ~ o 6 P~e aeJ I b H O r O 0 6 a e K T a , 0%'-

P a X C a I O I q e e CyIIJeCTBeHHbIe C B O ~ ~ C T0B6 ~a e K T a C TOYKM 3 p e H M R q e J I H MOAeJIHpOBaHMR.

M o A e n M 6b1sam~HaTYPHbIMM H H H @ O P M ~ ~ H O H H ~ ~ H @ O P M ~ I J H O H HMOAeJIb~I lTpeACTaBJIReT

0 6 5 e K T a MOAeJIHPOBaHMR.

P a 3 H b 1 ~q e J I R M MOAeJIHpOBaHMsI OAHOI'O M T o r 0 XCe MOI'YT COOTBeTCTBOBaTb p a 3 H b I e MOAeJIH.

0 6 a e K T MOAeJIHpOBaHMR CJIeAyeT P a C C M a T p H B a T b K a K CHCTeMY - q e J I O e , COCTOsIIIJee M3 B3aHMOCBR38HHbIX 9 a c T e f i .

@ o p M a J I M 3 a q M R e C T b p e 3 y J I b T a T I I e p e X O A a OT P e a J I b H b I X CBOGCTBM O A ~ J I H P Y ~ MCHCTeMbIO ~ ~ K HX @ O P M ~ J I ~ H O0M6Y0 3 ~ a ~ e -

HMIO B 0 I I p e ~ e J I e H H o f i~ H ~ K O BCMCTeMeO~~.

Ocnosnb~emenzb~napazpa@a:

lcapma lcalc un@opmaquortna~nzodenb; ltepmexu u cxenzbi;

zpa@ulc - nzodenb npoqecca.

MOXHOJIEZ H a 3 B a T b E Z H @ O P M ~ ~ E Z O H H O ~ ~ MOAeJIbKI ICaPTY MeCTHOCTEZ (PHC. 2.2)? B ~ ~ Y C J I O B H OMOXHO!, B o - ~ ~ P B ~K UIpXm ,U OnEZ-

CbIBaeT ICOHKpeTHYIO MeCTHOCTb, KOTOpaR RBJIReTCR AJIR H e e 06%-

elcmonz nzodenuposanua. BO-BTOP~IX,zpa@uueclcaa un@opfia-

qua. K a p ~ ac o 3 ~ a e ~c conpedenewoii~

qenbm: c ee n o l v z o q b m

M O X H O A O ~ ~ ~ TA 0~ HYXHOI'OC R

HaCeJIeHHOI'O IIYHICTa. K ~ o TOI'O,M ~

EZCnOJIb3yR J I P i ~ e f i K yH yrIEZTbIBaSI M ~ C U I TK~a P~T b I , M O X H O O l l p e -

2.3).

AeJIHTb PaCCTORHHe MeXCAy p a 3 J I H 9 H b I M H IIYHKTaMH. O A H ~ KHHO -

KaIcHX 60~1eeI I O A ~ O ~ HC ~B I~XA ~ H0 HaCeJIeHHbIX~ ~

IIyHKTaX, KpO-

M e HX n o n o x c e H H R , 3 ~ Iac a p T a H e A a e T .

 

~ P Y ~ H M3HaKOMbIMH B a M I I p H M e p a M H r p a @ H s e c K H x HH@OP-

M a q H O H H b I X ~ 0 ~ e J I eRBJIRIoTCRfi s e p T e X C H , CXeMbI, r p a @ H I c H . YepmeXC A O J I X e H 6 b 1 ~ bO g e H b TOsHbIM, H a H e M YICa3bIBaIoTCR

BCe H ~ O ~ X O A H Mpa ~3 MI e~p b I . H a n p ~ ~ espe p,T e X C ~ O J I TH~y X e H AJIR TOI'O, 9~06b1,rJIRAR H a H e r o , T O K a P b MOT BbITOgHTb 6 0 n ~H a CTaHKe (PXC.

y CXeMbI 3 J I e I c ~ p H s e ~ I c 0 UeIIHfi H e T HHKaICOrO BHeLUHerO CXOA-

c T s a c peanb~ofi3 ~ 1 e ~ ~ p ~ s eqenbmc~of(PHCi . 2.4). 3 n e ~ ~ p o n p ~ -

60pb1( J I ~ M I I o W C ~HCT09HHK, TOKa, KOHAeHCaTOP, CO~TPOTEIBJI~?HH~) ~:1--3 0 6 p&a ~ e C~HbM1 B O J I H g e C K H M H 3 H a ~ K afM H ,-a JIHHHHT+- 3TO COeAH-

non ma*

H a m r q n e HX I~POBOAHHECH J I ~ E C T ~ H Y ~ CTKo KOa~. O~ J I ~ E C T P H ~ ~ C E C ~ R

C X e M a H y X H a AJIX TOTO, 9 ~ 0 6 b 1IIOHRTb IIPHH4HII p a 6 0 ~ b 1UeIIH,

Y T O ~ MOECHO~I 6 b 1 ~ 1 0PaCCYHTaTb B ~ e fTOECHi

H HaIIPRECeHHR, 9TO-

6b1 IIPH c 6 o p 1 c e VeIIH IIpaBHJIbHO COeAElHHTb ee 3JIeMeHTbI.

I

 

Cxema - TO r p a Q n ~ e c ~ o0e~ 0 6 p a x e c~o~c Tea s a H CTPYECTY-

 

P b I cJIoXCHO~~CHCTeMbI.

 

C K a P T a M H , 9 e P T e X a M H , CXeMaMH, r p a @ H K a ~BbI~ HMeJIH AeJIO H P a H b I I I e . ~ ~ O C TP aOH b I I I e BbI H X H e CBZ3bIBaJIH C IIOHRTH- e M H H @ O P M ~ ~ H O H HMOAeJIH~ ~ .

H ~ ~ J I R A H C~II MO CHO ~ ~ M IIpeACTaBJIeHHZ H H @ O P M ~ I I , H O H H ~ I X

~ o ~ e n eRfBiJ I Z ~ T C Z r p a @ ~ s e c l c x eH B O ~ ~ ~ X ~ H HKapmS T .:1, s e p T e - X H , CXeMbI, I'pa@HKH.

3. ICa~asr@ o p ~rap a @ ~ s e c ~ oMfoiA e n x ( ~ a p ~cxeiwa,, s e p T e x ,

rpa-

@MK) I I p H M e H M M a AJISI 0 ~ 0 6 p a x e ~ M IIpOI&eCCOB?S ~ ~ M B ~

AIIpr?H- T ~

M e p b I .

 

 

 

4. n O C T p 0 f i T e I'pa@HseCKyI € I M O A e J I b

C O ~ C T B ~ H HYOC~II~e B a e M O C T H IIO

ABYM P a 3 J I H Y H b I M A H C q H I I J I H H a M

I I I K o J I ~ H oI~I p~O I ' p a M M b I ( C a ~ O f i

J I I O ~ E I M OM~ ~c a ~ 0 f Ui H ~ J I I O ~ H M O ~ ~C# I) I. p O I ' ~ 0 3 l l p y f i ~IIOe 3 ~ 0 fMOAei

-

J I H CBOG ,4aJIbHefiIIIMfi IIpOI&eCC 0 6 y s e ~ A~a sH H b I M n p e A M e T a M .

 

E q e O A H O ~p~ a ~ n p ~ ~ ~ p@a0 p~M 0ef i ~H H~ @~O fP Mi ~ ~ H O H H O ~ ~

M o A e n M s s m e T c s I npxmoyzonbnax mabnuqa, c o c T o a q a a

~ 1 3

CTPOK II C T O J I ~ ~ O B~. c ~ o J I ~ ~ o BT ~ H~

JM IHaCTOJIbKO~M ~

TIPMBbIP-

HO, UTO AJI8 IIX IIOHIIMaHHR O ~ ~ I U HHOe T

P ~ ~ ~ ~AOIIOJIHIITeJIbC R

-

HbIX 0 6 ' b ~ c ~ e ~ I I f i .

 

 

 

B I c a s e c T s e n p x M e p a p a c c M o T p n M T ~ ~ J I I I U 2Y.1.

~ P I COCTaBJIeHHII T ~ ~ J I E I I BJ ~HI e e BKJIIO9aeTCR JIIILUb T 8 MH-

@ o p M a ~ I I a , KOTOpasl

M H T e p e C y e T

IIOJIb30BaTeJIR . Hanpx-i~ep,

K p O M e T e X C B ~ A ~ H0 KHIII'aX,I ~

KOTOPbIe BKJIIOPeHbI B ~a6~1x-i-

Q y 2.1, CYqeCTBYIOT

II APYI'Me:

 

M3AaTeJIbCTB0,

ICOJIIIUeCTBO

C T p a H I I U , CTOIIMOCTb.

O A H ~ KAOJ I 8

COCTaBHTeJIR

T ~ ~ J I E I I 2&.1~ I

6b1no AOCTaTOsHO

C B ~ A ~ H HKOTOpbIe~ ,

IIO3BOJIRIOT OTJIIIUElTb

OAHY ICHIII'Y

OT

~pyI'0fi ( C T O J I ~ ~ ~I A B Ta ,O *~H a a s a ~ ~ e , ,

* l ? o ~ *II) H ~ ~ ~ KTHEk iIr y H a nomcax KHIIXH~IX c~ennaxcefi(CTOJI-

6eq c I I o n x a * ) .

I I p e ~ n o n a r a e ~ c UTOs~, B c e n o n K n n p o H y M e p o s a -

HbI M, ICPOMe TOrO, I C a X ~ 0 f iICHHre IIPMCBOeH C B O ~M~H B e H T a P -

H ~ I BH O M e p ( c ~ o n 6 e qe H o ~ e p * ) .

T a 6 ~ 1 ~ q2a.1 - 3TO U H @ O ~ J ~ ~ U ~ U OxodenbH H U ~

KHMXHOI'O

@ O H A ~A O M ~ I I ~I MH~~J I ~M ~O T ~ I C M .

 

T a 6 ~ 1 ~ qMaO X e T O T p a X a T b ~ e I C O T O p b 1 f iIIpOqeCC,

IIpOMCXOJ(S3-

~ M f BOi B p e M e H H ( T ~ ~ J 2I .2).

 

1

I

11 16.03.04

1

Eea OCWKOB I

0

1

750

1

62

11

18.03.04

 

A 0 ~ n b

3,4

 

745

 

 

 

19.03.04

 

Eea OCWKOB

5 2

 

760

 

87

 

~ O I C ~

~

~ CHMMaJIHCbM S I

B TeYeHMe II8TM AH&

B OAHO M TO Xe

B p e M I I CYTOIC. ~ J I S I A I IH. a T ~ ~ J I M ~JIerICOY ,

CPaBHMTb p a 3 H b I e AHM

IIO T e M I I e p a T y p e , BJIaXHOCTM M IIp. A a H H y I o ~ a 6 n ~ qMOXCHOy

P a C C M a T p H B a T b K a K U H @ O ~ ~ ~ . ~ U ~ U O Hjl~0deJLbM Y H , npOqeCCU U3jl.ze-

IteFtua C O C ~ L O J Z H U Jnozodb~Z

.

 

 

 

 

Ta6n~qb12.1 M 2.2 OTHOC~ITCS K ~ a ~ 6 o nYeaec T o ~ c n o ~ r b a y e -

MOMY T H I I y ~ a 6 n ~ kqI X. 6

y

~ Hea 3~b I B a T b

ma6nuzf.amu mUnU

c c 0 6 . b e ~ m - C ~ O I Z CB~ ~O AOH) >O .~CTpOKe~

T ~ I C O GT ~ ~ J I ECOAepI~~-I

XMTCSI MH@OPM~I&MSI06 OAHOM 0 6 ' b e ~ ~(KHHE~e B M ~ J I M O T ~ K ~

HJIM COCTORHMe IIOTOJ(b1 B 12-00B ~ a H H b I f~i

e ~ bCTOJI~U,~I) . - OT-

A e J I b H b I e XapaKTepMCTElKM ( C B O ~ ~ C T B0~6)' b e I C T o ~ .

 

K O H ~ Y H O CTPOICH, EI C T O J I ~ B~ ~T I~ ~ J I M U2.~1XM 2.2 M O X H O IIO-

MeHSITb MeCTaMM, I I O B e p H y T b MX H a 90'.

M H O ~ TaICA ~ M AeJIaIoT .

T o r ~ aCTPOICM ~ Y J ( Y TCOOTBeTCTBOBaTb C B O ~ ~ C T B ~aMC, T O J I ~ -~ ~ I

0 6 ' b e I C T a ~ .HO~ a u Be C ~ ~ a O6 J I M q b CTPOXT1

T ~ I CYTO,

CTPOIC B HMX

60~1bme,Y e M C T O J I ~ ~ O BKaIc.

I I p a B M n o ,

O ~ ' ~ ~ K T ~OOBJ I ~ I I I Y~ e, M

CBOGCTB.

 

 

 

 

 

~ P Y ~ HP aMC I I p O C T p a H e H H b I M THIIOM T

~ ~ J SIBJISIIOTCSIM ~

T ~ ~ J I M -

4bI, O T p a X a I o u M e B3aMMOCBSI3M M e X A y p a 3 H b I M M

0 6 ' b e I C T a ~ M .

H a a o s e ~MX ma6nuzf.amu muna ~co6.aexm-06~elemvBOT. no-

H S T H ~ IICaXAOMY~~ IIIICOJIbHMICY I I P M M e P ~ a 6 n ~ qyCIIeBaeM0CTMb 1

( T ~ ~ J 2I .3).