network theorems - introductory concepts
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Hetwark Pbearejs * Ihtra`umtary
Mahmepts
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Enemtrim Mirmuits* @ecihitiah
L mirmuit is lh ihtermahhemtiah ac enemtrimln
majpahehts tblt pravi`e l pltb wbere l
murreht mlh cnaw
Ic tbe cnaw is ta oe mahtihuaus. tbere mlh oe ha
dlps ih tbe pltb
Ihtra`ume dlps ih tbe carj ac switmbes. sa we
mlh mahtran majpnetihd l mirmuit
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S?0
S3
S
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Olsim Enemtrimln \ulhtities
Olsim qulhtities7 mblrde.murreht.vantlde lh`pawer
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Murreht. I
Harjlnny we tlnk loaut tbe javejeht ac pasitivemblrdes lntbaudb we khaw tblt. ih deherln. ihjetlnnim mah`umtars murreht resunts craj enemtrahjatiah "mahvehtiahlnny pasitive cnaw)
Pbe sidh ac tbe murreht ih`imltes tbe `iremtiah ac cnaw Pypes ac murreht7
`iremt murreht "`m)7 oltteries lh` saje spemiln deherltars
lnterhltihd murreht "lm)7 bauseban` murreht wbimb vlries
witb tije
I"t)
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Hates ah Murreht
Murreht ih mirmuits is pbysimlnny relnize oy javejeht acenemtrahs
@iremtiah ac murreht just oe spemicie oy lh lrraw
Oy mahvehtiah. murreht iremtiah is ecihe ls cnaw ac pasitivemblrde
Mahvehtiahln murreht iremtiah recers ta tbe javejeht acpasitive mblrdes tbraudb tbe mirmuit
Hate tblt pasitive mblrde is hat cnawihd pbysimlnny
Enemtrahs blve hedltive mblrde lh tbey jave ih tbe appasite
iremtiah ac mahvehtiahln murreht
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MAHSEHPIAH CA_ MU__EHP]
It is losanuteny hemesslry ta ih`imlte tbe `iremtiah ac javejeht ac mblrde`
plrtimnes(
Pbe uhiverslnny lmmepte` mahvehtiah ih enemtrimln ehdiheerihd is tbltmurreht is cnaw ac pasitive mblrdes( Lh` we ih`imlte tbe `iremtiah ac cnaw car
pasitive mblrdes( Pblt ijpnies murreht cnaws aut craj tbe pasitive terjihln
ac tbe olttery lh` cnaws ihta tbe hedltive terjihln(
*PBE _ECE_EHME @I_EMPIAH*
L pasitive vlnue car tbe murreht
ih`imltes cnaw ih tbe `iremtiah ac
tbe lrraw "tbe recerehme
`iremtiah)
L hedltive vlnue car tbe murreht ih`imltes
cnaw ih tbe appasite `iremtiah tblh tbe
recerehme iremtiah
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l o
l
l
lo
o
o
L=
L=
L=
L=
L5 LI lo 5
LI lo =
LI ol =
LI lo =
LI ol =
Vasitive mblrdescnaw nect*ridbt
Vasitive mblrdescnaw ridbt*nect
ollo II
Pbe @auone Ih`ex Hatltiah
Ic tbe ihitiln lh` terjihln ha`es lre nloene` ahemlh ih`imlte tbej ls suo ih`imes car tbe murreht
hlje
l o
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Nemt< EEE ?6? 9
Santlde. S
Santlde is tbe `iccerehme ih eherdy neven ac l uhit
mblrde namlte` lt elmb ac twa paihts ih l mirmuit.
lh` tberecare. represehts tbe eherdy require` ta
jave tbe uhit mblrde craj ahe paiht ta tbe
atber
Mirmuit Enejeht"s)
+ S"t)
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Hates ah Santlde Santlde is tbe eherdy losaroe ar expeh e ls l uhit
mblrde javes tbraudb l mirmuit enejeht
Lhlnadaus ta pressure ih by rlunim systej
Lnsa mlnne patehtiln iccerehme
Mlh oe mrelte oy l seplrltiah ac mblrde
Is l jelsure ac tbe patehtiln oetweeh twa paihts
Santlde pusbes mblrde ih ahe iremtiah
Te use panlrity "+ lh ah oltteries) ta ih imlte wbimbiremtiah tbe mblrde is oeihd pusbe
Santlde is tbe eherdy require ta jave l uhit mblrdetbraudb lh enejeht. jelsure ih vants "S)
wbere v : vantlde ih vantsw : eherdy ih G aunesq : mblrde ih maunajos
v:`w!`q
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Mahvehtiahs Car Santldes
@ecihitiah 7 twa paihts blve l vantlde iccerehtiln ac ahe vant ic ahemaunajo ac mblrde dlihs "ar nases) ahe gaune ac eherdy wbeh itjaves craj ahe paiht ta tbe atber
l
o
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