PHC.
19. Cxexa
nOCTpoeHHH
ceTKH
Y3JIOB
aa
HHTepBaJIe
O~~Ho
_DpH
3TOM
aonycxaerca
CJIyqaH,
xorna
see
TOtlKH
CTbIKa
HHTepBaJIOB
~BJIHIOTCH
rpaaauaxa
pasnena
<pH3HtIeCKHX
cpen, '
_Cepenany
xaxcnoro
aarepnana
hit
npaxea
aa
paCtIeTHbIH
ysen Xk
(ca.
pRC.
19).
3aMeTHM,
lITO
BeHJIy
TaKOH
KOHCTpyKUHH
TOtIKH
x=O,
x--HO H
<pH3HQecKHe
rpaaausr
pasnena
cpen
He
CO'Bnaj(aIOT
c
pac-
·qeTHbIMH
Y3JIaMH
ceTKH.
3 a Me'q a HHe 2. Bo
MHO~HX
IfIpOOJleMaX TeopuH nepeaoca IIPHXOJlllTcSl
BIAHe
..
Jlm'b
pasaoro
pona
$YHKIlHOHaJIbI
'OT
-HeHTpOHBoro
nOJHI,
H811'P;HMep
T'aKH.e:
C [f) = Sp
(rh.
(r)
£tV.
V
rjte
<po(r)
-UJIOTHqcTbfJlo6aJlbHOfO
nOTOKa
HeHTpOHOB,
a
p(r)
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aanaa..
sas
tPyHKIUiH.,B
OJlHOMepHOM
Bap'HaHTe,
KOTOPbIii
MbI ceiiqac
paCCMaTpHBaeM,.
HHTe-
H'
rpaaa
sana
S
f(x)dx
(c B03MO:lKHhlMH
paspbIBaMH
'DO,llhlHTerpaJlbHoii: cl>ymcn-HHB
TOll-
o -
xax
xk±h
lt
/2)
HaHOoJlee
npOCTO
BblqHCJUITbDO
KBaApaTypHoii~oplIYJIe
IJPSlMOyrOJIb~
HHKOB. co cpeA'Heii
opJlHHaTOH:
"
ne N
S
f(x)d"~~
hkf(X/t). (13.10)
0"
k=1
ECJIH
I"
(x)
cymecrayer
nOqTH
BCIO.a.y H3 0
~%
~
HO
H orpaaaseaa, TO norpemaocra
'epOPMyJlhl
(13~lO)
pasaaD
(hI) (h =
max
hk). Ho KaK pas C
norpeWHOCT&1O
roro
lICe
k .
p:op~.nKa
O(h
2
)
(~.
§ 14) llaeT pemeaae sanasa paaaocraas cxeaa, K nocrpoeaaio
xoropoa
MhI
npHcTynaeM..
. "
I1TaK,
eCJI-II
-iIIMeTb"B
,&H.llY
'epOpMyJly
(13.10)-npoCTeA"mylO
a3KBap.p~'fYP~blx
~OPMYJl,
TO
BbI60p
cepenaaa
'HHTepB3J1a
h
k
B xasecrse
Y3JIa
XttMOlK"HO"
npHSRa:r.&
no-
nOJIHHTeJl&HhIM
,llOCTOH,H<:TBOM
KOHCTpYl1pye'MoH
'KOHetIH01>a3HOCTHOH"
.cxexu.
KOHeqHO~pa3HOCTHYIO
cxexy
CTpOHM,
HCnOJIh3yH
TaK"
Ha3bIBaeMhIH
MeTOO
t/JUKTU8HblX
TO'l,eK.
,UJIH
3TOrO
B03bMeM
OJJ.HH··
"H3
HHTepBaJIOBh
k
H
napaaerpsr
cpezra,
COOTBeTcTBylOw:eii
3ToMyHHTepBaJIy,
aenpepus-
HO H
raanxo
np0,lJ.OJI>KUM na
paCCTOHHHe
h
k/2
-anpaso
H
BJIeBO
OT
KOHUOB
HHTepBaJIa
h1f,-.
C1>HKTHBHhle
KOHUbI'
pacmapeaaoro
aarepsana
OTMeTHM
CHMBOJIaMH
all.
H bit (pae. 20). Flonpaayueaaerca, QTO 9Ta"
onepauas
ocymecraneaa ,llJISJ scex
HHTepBaJIOB
hit
(k=
1, 2,
"."j>
.',
N).
I
11k
t----
........
--------+---_-~-,
........
_I
ak
Puc. 20.
KOHCTPyKUHSI
pacurapeaaoro
HHTepBaJl~
72