network theorems - introductory concepts

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  • 7/30/2019 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

    M