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nepeaoAe

rrucel

ua

p-u.ruofi

cucreMbl

cquclellrtfl

e

d-n'IH)'ro

(Ao+

Ad) HyrKHo

frHTbIBarb,

cpeAcrBaMr{

KaKofi aput}ueruxrr

AoAJKeH

6arrr ocyuqecrBlerr

uepeBoA,

T'. e. B xarotl cncleMe

cqLIcAeHI4q

(p-H'r-

Hori

rrlr,r

d-uvuofi)

AoATKHbI

6blra

sHuoaHeHbl

BCe Heo6xoAHMbIe

4a.a

rrepeBoAa

AericrBar.

flycrr

nepeno,lAo

-+Ao

Ao;rrKeH

ocyrqecrBlttrbcs

cpeAcrBaMu

d-nq-

Hoft

apu{rueruKlr.

B eror'r

clyyae

ilepeBoA [polt3BolbHoro

vucaa A, sa-

AaHHOTO

B CUCTeMe

CqI4CAeHHfl C

OCHOBaHIieM

p,

B

CI{CTeMy

Cr{UCAeHUf

c

ocHoBaHrreNr d

sbrno^Hflercff

no

npaBuLy

3altreuleHufl

npeAycMarpHBa-

rou{eNry

Bbrqr,rcleHne rro,,rlrnorrra

(3.8)

B HoBoIi cucreMe

cqnclenus.

To ecrr

M-rr

I]oA] {eHur d-uqHoro

uso6pa:renuq

Bbipa)KeHnr

(3.8)

Heo6xoMMo

ace

qraQpr,r

oi lI

r{Hclo

p

3aMeI{I4Tb

d-H.rHrrl,.ru

uso6pa-:xeHvflv,vtLt

BbIrIoA-

Hurr apu$rr.rerurrecKfi e

orrepaquld

n

d-H.rHoIi

clacreMe cquclerllts,

flpauH.rro 3aMerqeHHfl

qalqe

Bcero I4cnolb3yercs,

Ar'fl.

upeo6pasoea-

HI{fl

IIECE

US AIO6OII CIICTCMbI CTIIIC

EHAfl

B

ACCflTUIIHY}O.

IIPABH

O

nepeBoAa

AArr

3Toro c,I\rras

I\ro>I(Ho KoHKpeTlI3rrpoBaTb.

llepeeo4

B

Aecs'ruqHyro

crcreMy

uucaa

A,

3a[I4cauHoro

a

p-nvHoii

cllcreMe cqHcAeHHq

B BHAe

A,,:

(o,,an,,

... eo

,

e.t

a.2 ,,, a..le cBoAt4Tcfl

KBbIr{I4cIeHuto3HaqeHutMHoroar^eHa

Aru

:

au

p'

* au-rpn't

+ .. * oopt'*

+ a.l

p't

*

e.rp2

+ .." + a.,

p'^

cpeAcrBaMuAecq'1'u'JHoli

aprlQrreraxra.

Ilprn uepeaoAe cleAyer

[pllAepxuBarbcfl

rrpaBl4,ra coxpaHeul,Ifl

To!I-

HOCTH

trSO6pa.)XeUl'lfr,t{I'zc/ra

B

pa3Hblx

cllcreMax,

rlpuqeM IIoA

ToqHocrbro

noHHMaercff

3HaqeHr.re

eMHI,IIIbI

CaMOTO

M aAIuerO

(npaaoro)

pa3pflAa,

ncnolb3yeMoro

B 3a[I4cI{

tII4c

a B ToIl u.lrt{

uHorl

cracreMe

cqucleHnfl,

Ilycm

reflepb

nepeBoA Ao

-+

Ao

A,ol)KeH

ocyu{ecrBlsrbcs

cpeA-

cTBaMU

p-u.firofr

apnQuerurn.

B

gToM

clyqae

AAfl

uepeBoAia

Alo6oro

qncla

rdc[rro,lrr3yro'r

npaBuuo

geueHun

-

44tt

nepeBoAa

qeaorl

qacru

qr4c^a,

u

npaBu o

yMHoKeHufr-

A

t nepeBoAa

ero

4po6uoti'IacrH.

Ilepenog

qelrt.x

v-ucel.

Brtpaxtenua

(3.8)

u

(3.9)

4,,r.a

qelblx

qncel

6yayr

nMerb cae4ytoult

tti BI,IA coorB ercrBeHHo

:

Ao=

onx

pn

+ en-r\

r/.'' *.,. * o,

x pr

* co,

(3.10)

Ao=bnxdn

* bn_,xd"-1

+.,.+ brxdr

+ b0,

(3,11)

rAe d/

-

rla$pbl

p-utuoir

cl4creMbl

(0

S o,3

p'1)u

b,

-

ucxouue

rlHQ-

pu

d-u.rHoft

cr{creMbl

(0

S br

< d-tl.

Tax

xar Ao

:

Ao, To Mox(Ho

3arllacarb:

Ao: bnx dn

*

br-,

x

dn-t

+...

+ br

x

dr + bo

,

r4e

b.

-

ucKoMble

quSpEI

g

d-u.IHoIl

cl4creMe

cqI{c eHLIt'

.{4x

oupe4eaeHraa

bo

pa3AeAr,IM

o6e'racrl,I

paBeHcrBa

(3.12)

ua

quclo

d,

upnvelr

a AeBofi

qacrll

upot4 3BeAeM

AeAeHLe,

tto

l3yffcb npaBI4

aMH

p-

trt{Hofi

apu$ueruxr,r

(rax

KaK 3arl}rcb

xracaaAo

a

p-uuuoft

cl4creMe cru4c-

AeHr.rrr

r{3BecrHa).

Bsneruarvl

B

rlacrHoM

lA,/

dl

qe^ylo

u

4po6uyto

qacrr{:

(3.12)

(3.

l3)

flpuuep 3.

Paspr4rr

3

tlucrro

1

2

0

I

a

1

F

2

I

j

1

1,,: r*r,

*rx2,*

lx? *

rx2':11,5,0.

:,

5a:2xB'*7xBt

* 6x80 * 5xB-'

:

190'625'n'

3,u

:

1x 162

*

15x 161 * 3x

160

:

499,0.

IAe/

dl:

lAr/

dl\+

IAe/

dl^,

rrye

lAo/

d]u

-

qerrar

qacrb

alacrrroro

-

HenolHoe

alacrHoe;

I

o"ro^o*l

1A"/

dl":l,

l

-apo6Harrlacrbqacrrloro'

ocmamoK

LUJ

TOK OT

AeAeHus

Ao ua

d.

Ilpaayro

qacrb

[epeuurxeM

B BHAe:

lAe/

dl=b,x

d"-1 *b,-,x

d"2+...+bibo/d.

(3'14)

Y.rurErgafl,

qro

b-

{

d,

npupaagffeM

MexAy

co6oti

nolfreHHble

IIe-

Abre

r4

4po6uue

qacrl{

paBeucrBa

(3.14):

IAe/

dlu:

bnX

dn't +bntxd"'2

1'

'..+ br,

(3.15)

f

o"*o^o*1

l:

bo/d'

LdJ

64 5

a-zro

65

Taxuu o6pasor"r,

uaa4uruft xoeS$uqueur D0

B

pa3lox(eHun

(3.

I l)

oupe.l,e^teTcfl

cooTHoIrreHI{eM

:

fiocxorrrxy

qr4cla

HoAb !I eAHHI{IIa

B o6eux cl4creMax cquctreunff

o6osHa.rarcTcr

oAr.rnaKoBbrMr4

r1u$paun 0

u 1, ro B rrpoqecce

Ae

eHI4s

cpa3y

uolf{uM

ABordtrHbre

uso6paxceul4fl

I4cKoMbIx

IrHSp:

Ar=

tOt t t t.

llpnrvrep

5. Flepeae4eM

traclo

Aro:

75 B IuecrHaAllarepuvHylo

cu-

cTeMy

crrHcAeHHq

c

14

cuoAB3oBaHI{eM

AecfruqHoIi

apuQueruxlt.

llptt-

MeHflfl

Qopruyrru

(3.12)-(3.18)

upn d:

16, uMeeM:

?5: 16

:

(ll);f

4: 16

:

0(4).

I

Ileprrui

ocraroK 1l,o

e 16-pu.rHoli cucreMe

cqucrreHl4fl

o6o3Harla-

eTcr

urecrHaAr{arepraqHofi

quQpoti

B,u, uo3touy oKoHqare^bHo

noly-

qHM:,4,6=

48.

Ilepeaog

npaBu

bnbrx

gpo6efr. Bupa;renua

(3.8)

u

(3,9)

au

upa-

Bx,lrbHorl

4po6u

6yayr lrMerb cle4ytouluti

BHA coorBercrBeHHo:

f

or*o*o*f

bo:

d

"L

,

l:

ocmamox,

r.

e. boflBl.aercn

ocrarKoM

orAeAeHHfl

Aouad.

floao:xuu:

Atr:

IAo/

dlu: b.xd"-1

+bn_r

xdn'2+...*b,.

TorAa

Ato

6yAer

qor.uu

quc

oM

LI

K

HeMy Mo)KHo

rrpl{MeHurb ry )Ke ca-

rvryro rpoqeAypyMjr onpeAe^eHr{f

c^eAyuqero xoesQHIII{eHra

b,

u t.4.

Sror

npoqecc npoAoDKaercfl

Ao

rex nop,

uoKa Herrolnoe

qacrHoe

He cTaHeT

paBHbIM

HOIIO:

(3.16)

(3.17)

lAir/

dlo: 0,

(3.18)

llocxorrary

Bce ouepaql4lI

BblflolHflIorcff B cl{creMe crrt4cleHut

c

ocHoBaHHeM

p,

To B

3TOfi

X(e ClrcTeMe 6yayr

[o^rreHbl LIcKoMbIe

KO-

s$$raqxenru b,,

rto3Torvty

ux aeo6xoAuMo 3a[ucars

d-N.rrrotl

qn$pofi.

flpaau.ro

AerreHur

qaule

Bcero

ucrrolb3yercfl

44-a

npeo6pasoBaHlll

r1elbrx

trucel

I4g

A,ecffTr,rrrHoli

a,rrro6yro

ApyrFo

cucreMy

cquc eHufl.

Taxnu o6pa3oM,

npaBr4lo nepeBoAa

IIeAbIx

rrficel

lr3

p-I4qHoft

cuc-

TeMbr

crrHc^eHr.Iq

B d-u.rHyro

cpeAcTBaMI4

p-I-rtrHofi

apusirletnxn

uo-

:xer

6rrru cQoptuyaupoBaHo

B cleAyloqeM

BIdAe.

,A,tn

nepesoga

qeAoro

uucta

A^us

p-uuuort

cucmeM*

cuucAeHun

B cucmeMy cqucteHun

c ocaoaanden

d aeo1xogumo

Ao

pa3gelumb

c ocmamxoM

(<naqeton)

He

qucuo

d, sanucannoe

s moil t<e

p-utuoi

cuc'

merue. 3areu

HenolHoe

rracrHoe,

nolfreHHoe or

raKoro

AeAeHHg,

Hyx(Ho

cHoBa

pa3Ae

HTr,

c

ocTaTKorr.r

Ha

d

H T.

A.,

[oKa [oc^eAHee

no^r{eHHoe

HeIIoJ\HOe

qacrHoe

He

craHer

paBHr,rM

Ho Io. llpe4c'raaneHueM

ql4c^a

Ae B

nosoft cncreN{e cqLrcAeHLrE

6y4et

nocae4oBarelbHocrb ocrarKoB

AeAeHIaq,

nso6paxeHHurx d-nquofi

rlnQpoft 14 3arucaHHllx

B nopsAKe, o6parnou

[optAKy I{x [o^yr{eHl,rfi ,

Ilpurvrep

4. Ilepeaep,eM

ql4clo

Aro

:

47 B

ABoLIrrHyIo

cPlcreMy

c I4c-

no^b3o BaHr.reM

.a,ectrHtrHorl

apu$uerrtxu.

IIpNue Hrr

Sopruryrral

(3.12)-(3.18)

upr.t d:2, nueevr:

47:2:23(l);

4

23:2:

11(l);

I

11:2:5(1);

I

5:2:2(ll;

I

2:2: l(01;

I

1 :2

:

0(1).

I

66

Ao: d-rx

p''

+ a-rX

p''

1..'* a--x

p'+'..,

Ao=

b-,

x

d't * b-,

x

d'2 +...+ b--

x

d'^ +..',

(3.1e)

(3.20)

\

rAe cr

-

r{prspbr

p-n.rrroli

cucreMbl

(0

<

a-<

P-1)u b,

-

ucxouue

quS-

pu

d-u.ruorl

cncreMbr

(0

S bi < d-1).

FIpu srou:

Ao:

b-rx

d-t + b-rx

d-2 *

...*

b-^x

d"^'

(3'21)

.Ar.r-n

onpe4eleHvfl

b-,

yuno:ruM

o6e

qacru

paBeHcrBa

(3'21)

Ha uHc-

Ao

d,

upr4qeM

B ^eBori

rracrl{

[poH3BeAeM

yMHox(eHI4e, no^b3ytcb

rrpa-

BnAaMH

p-uvHoft

apuouernxn

(tar

KaK 3anl,Icb

trHc^a

Ao z

p-uuuotrr

cr{cTeMe

cs?rc^eHHf

lr3BecrHa).

Blp,eararr

B npold3BeAeuun

[A.x

d]

qe-

Ayro

H

4po6Hyto

qacru:

(3.22)

IA"

x

a1

=

b-, * b-rx

d't +... + b..

x

d--+r

+ ',.

.

(3.23)

Y.rurbrsas,

.rro

0<b-<d,

upnpaBHgeM

Mex(Ay co6ofi

nolfregHble

qelbre

u

4po6uue

rIacrLI

paBencrBa

(3,23):

[Ao

x

d]o

:

b_,,

(3.241

[Ao

x

d]o

:

b-rx

d-t +..,

*b-,

x

d-'+r +.'.

.

lAox

dl:

IAox

dl,,*

[Ao

x

d]o,

r4e

[Ao

"

dlo

lle/lat

qacrb

npollsBe.d,eHnt;

[Ao

x

d]o

-

4po6nax

aracrb

rIpoI{3BeAeHHr.

flpaapo

rracrb

nepe[I4llreM

B

BHAe:

67

Tanuu o6pasor"r, rraa4runfi xosQ$r,u1Hent b-,

B

pa3lox(eHuu

(3.21)

orrpeAe^reTcfl

cooTHorrreHueM :

b_r:

lAot

dlo.

flonoxuu:

At

o:

IAot

dlo b-rx d't +... +b_-

x

d''+r +... .

ussegenurt, senuceHHbtx

B

nopngKe ux notweHun u usodpax<ennux

d-u.tuot

yurppoi,

Ectu mpedyeMan moqHocmb nepeBoga.tucla.

A, cocmaatnem

j

suaxoa nocue 3annmoft, mo npege buan adconomnan

noipewnocmu npu

gmoM

psBHnemcn

d'u+t) /

2,

Ilpnuep 6. Flepeae4eM

qr,rclo

A

ro:

0.2 B

ABor.rrrHyro

cqcreMy

cauc-

AerrHr c

r,rcrro^b3oBaHr,reM

cpeAcrB

AecrrruqHoir

apu$uerr.rxu. flpuue-

HeHHe

Qopr'rya

(

3.

23)

-

(

3.25)

upHao4rar

x

rarori uocleAoBarelbHocrr,r

Aeficrsufi:

0.2x2

:

0.4

:

0 + 0.4=b-,

:

0;

0,4x2

:

0.8

:

0 + 0.8+b-,

:

0;

0,8x2: 1.6: 1+0.6

=+

b.,

:

l1

0.6x2

:

1.2: |

+ 0.2+b_o:

I ur.4.

Ecan

4ecau4rrHar 4po6r

Aro:0,2 rBl-sercfl

TorrHbrM

qrdcloM,

To B

pe3y^bTaTe

rrepeBoAa B

ABor.rqHyro

clrcTeMy cqEc^eHr.fi uo^rleHa ue-

pr.roAnqecKaa

4po6rA,

=

0.(00I I)

(e

cxo6xax

yKa3au

uepr.ro4

4po6N).

flpnuep 7. llepeae4eM

trr4clo A,o

:

0.36

B BocbMepr{rrHyro u uecr-

[aAqaTepHqHyro

crrcTeMbr

csrlc^eHHfl c ]rcrro^b3oBaHr{eM cpeAcTB

Ae-

cRrurrHoft apaSuerurr. llpuueuun

Sopnynrr

(3.231- (3.25),

uorryuur.,r:

0.36x8:2.88

:2*

0.BB+b_,:2;

I

0.8BxB

:

7.08

:7

*0.08+

b.r:7;

I

0.08x8:0.64:0 * 0,64=b-.:0"t.a.

I

Taxurr o6pa3oM,4:0.270,

rrpu sroM npeAelbHafi a6colJorHafl rro-

rperuHocrb

paBHa

B'4/2

-

2'13.

0.36x 16

:

5.76

:

5*0.76 +b.,

:

5;

I

0.76

x

B

:

12.16

:

12

* 0.16

=+

b.,:

l2ut.

g.

+

tlHc.rro

12,0 a 16-lrvHori cracrene at"arru""t

o6oeHa.raercx

qaQpoli

C,u,

nogrolry oKoHqareASHo

rrolf{uu A,u

:

0.5C, upu

groM

npeAerr}-

Hag

a6corrrorHafl

norpeurHocrb

paBna

16'3/2

:

2-t3.

Oco6oro

BHr4MaHr4q 3aclyx(LrBaer c,ryvafi

[epeBoA,a

qrce,r

H3

oA-

lloti

cNcreubr

cslrcleHun B

Apyryrc,

KorAa ocHoBaHllr

AaHHbIx

ctrcreM

('qHcleHlrt

p

u d caxsaHbl

paBeHcrBoM

p

:

dK, r4e K-

qerroe

lrolorKrr-

f'elbHoe

qprclo.

B

grou

clfrae

[epeBoA

us

d-u.rHoli

B

p-I4rrHyro

c?Icre-

My crrncleHurr

Moxer

6urr

ocyutrecrBleH

no

cleAyrcu{eMy

npaBLI

y.

(3.2s)

TorAa Ato 6yp,er upanralrHori

4po6rro

r.r K HeMy Mo)r(Ho [prrrvrenr4Tb

ry

rKe caMyro

npor{eAypy

Mr

oupeAe^eHr{s c^eAyroqero xosQQuqn-

enra b-, n r.

4.

Sror npoqecc

npoAo,,rrKaercr

Ao

rex rrop,

noKa

Apo6naa

rracrb

npo-

H3BeAeHHtr He

craHer

paeuofi

Holro:

[.Atoxd]o:0,

(3.26)

H ra He

6y4er:4ocrurnyra rpe6yeMafi ToqHocrb upeAcraBleHr4a

rrucla.

IIpu uepeeo4e npu6araxenHux

4po6eri

ras

o4Hori cucreMbr crrucle-

HHfl B

Apyry&o

neo6xo4ur,ro [pr4Aep)KnBarbcr

cleAyroudero

npaB?na.

Ecrru ep,unraqa MlaAruero

pa3pflAa

sr{cla A, ea4auHoro a

p-ravnorYr

cr{creMe cqncleHnfl, ecrb

p'&,

To B

ero d-lrrHori 3arracu cleAyer coxpa-

HHTbjr

pa3prAoB

rrocle 3anRrofr, rAe,l

yAoBlerBoprer ycloBrlrc:

4i

>

pk/2

>

d'(i+l)

,

oKpyrlqrr nocAeAHroro

ocraBlrreMyro

qerQpy

o6br.rHbrM cuoco6ou.

llocnoalxy Bce onepaqulr Bbrrrolr{rrrorcfl B cr{creMe cyucJreHufl

c

oc-

HoBaHr{eM

p,

To B

grofi

x(e

cncreMe

6yayr rrolfreHbr xcKoMbre

xoeQSu-

q[enrhr

b,,

noerorry rax Heo6xo4rauo

sanncarr d-ravnoft

qnQporl.

Flpaa*r-

Ao

yMHo)KeHHt

qau{e

Bcero ncfiolb3yerca

.a4a

upeo6pa3oBaur{r irpaBuab-

Hux

4po6eli

H3

AecflTurrHofi

a aro6yro

A,pyryro

cracreMy crruc eHrarr,

Tarurvr o6paaovr, rrpaBrllo [epeBoAa rrpaBr{ buhrx

4po6erZ

vs

p-ra'.r-

uofi cucrenbr

crrncleHr4n

e

d-zuHyro cpeAcrBaMr{

p-munoit

apuSuern-

Klr rvro)Ker

6urs cQopuylr4poBaHo

B

cleAyrcqeM

Br{Ae.

y'4a

nepesoga npaeau,noi

gpodu

A, us

p-uunofr

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Акулов О.А., Медведев Н.В. Информатика. Базовый курс

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