IOR Jouna of Mahmac IOR-JM -IN: 78-578 -IN: 39-765X. Voum 3 Iu 4 V. III Ju. u. 7 PP 38-4 www.oouna.o m o Rcumn fo a n ad Manow m wh wo hhod Dffn och fo In-Dcon x Havn Coad Waa. Ravchan ;. nvaan an Pofo n Mahmac RP nnn Co RM ROUP Iunau ch-6 5 am Nadu Inda. Pofo mu P & Rach Damn of Mahmac ho H Co ch-6 7 am Nadu Inda. Coondn uho:. Ravchan ac: on a ac whnv a man oanzaon a oc dcon uch a von of a a ucu. I no w o ma cumn fqun du o co faco. nc dcon conqunc a oac n nau a w annd cumn oc h nd of h hou. h ocv of h n a o ud h om of m o cumn fo a n ad manow m un an unvaa cumn oc ad on hoc mod aoach. In h a h vaanc of m o cumn oand whn h m ha oona mao hhod fo cumuav o n manow waa du o aon fom a qunc of xchana conan coad xonna om vaa h n- x m a ndndn dnca dud xonna om vaa v h n-oc dcon m fom h a omc oc o an od ac. numca ud of h anaca u fo h fomanc mau how ha man vaanc of m o cumn h nca o dca accodn a h ava o of manow nca o h ava n dcon m dca. Kwod: n ad manow m; dffn dcon x och; coad waa; omc oc; od ac; unvaa oc of cumn nvovn wo hhod vaanc of m o cumn. --------------------------------------------------------------------------------------------------------------------------------------- Da of umon: -8-7 Da of accanc: 6-8-7 --------------------------------------------------------------------------------------------------------------------------------------- I. Inoducon on a common hnomnon n man oanzaon. h ad o h don of manow. Rcumn on v occaon of don of manow no adva nc v cumn nvov co. Hnc h cumuav don of manow md ach a v cad h hhod. If h oa o of manow xcd h hhod h acv n h oanzaon w affcd hnc cumn com nca. In 3 h auho hav dcud h manow annn mod Maovan nwa hoc aoach. In 4 h auho ha udd h om of m o cumn fo a n ad manow m whn h o of manow fom a qunc of xchana conan coad xonna dud om vaa. In 5 h auho ha nad h ud of h om of m o cumn fo a n ad manow m ncooan an n h vn of cumuav o of manow du o aon con h hhod condn oona mao hhod fo h cumuav o of manow n h manow m. In a h aov cd wo aumd ha aon a ac nananou a dcon och. h aumon no ac a h acua aon w a ac on a x on whch ma o ma no concd wh dcon on. h ac an no accoun fo h f m n 6 h vaanc of m o cumn oand whn h n-dcon m x m a ndndn dnca dud xonna om vaa un unvaa oc fo cumn Laac anfom n h ana. In 8 9 h auho hav udd h om whn ndcon m fom a qunc of xchana conan coad xonna om vaa a omc oc an od ac cv. Rcn n 3 4 h auho hav udd h wo n 6 8 9 condn oona mao hhod whch a vaaon fom h wo of 5 n h conx of condn non-nananou x a dcon och. In h n a fo a n ad manow m a mahmaca mod conucd n whch aon du o oc dcon a ac a x on h a oona mao hhod a cono m fo h cumuav o of manow. unvaa oc of cumn ad on hoc mod aoach ud o dmn h vaanc DOI:.979/578-343384 www.oouna.o 38 Pa
m o Rcumn Fo n ad Manow m Wh wo hhod Dffn och of m o cumn whn h m ha dffn och fo oc dcon x. h n a xnd h ach wo n 3 4 whn o of manow fom a qunc of xchana conan coad xonna dud om vaa. II. Mod Dcon Cond an oanzaon an dcon a om och n a v dcon man och a om num of on qu h oanzaon. h an aocad o of manow f a on qu. I aumd ha h o of manow na cumuav. L X h connuou om vaa nn h amoun of don of manow o of man hou caud a h h x on h oa o of manow u o h f x on. I aumd ha X a xchana conan coad xonna om vaa wh man α α>. L M. h duon of z n =3.L h coaon wn X X wh n x z dz a wh a h man of X =3 L U h connuou om vaa nn h m wn h - h h oc dcon. L W h connuou om vaa nn h m wn h - h h x m. I aumd haw a ndndn dnca dud xonna om vaa wh oa dn funcon. oa duon funcon. man. L N h num of x on n n. L Y h oona hhod v fo h cumuav don of manow n h oanzaon wh oa dn funcon h. foown an xonna duon wh man. L Z Y < Z h mao hhod v fo h cumuav don of manow n h oanzaon wh oa dn funcon h. foown an xonna duon wh man.l h oa ha h oanzaon no on fo cumn whn oona hhod xcdd h cumuav o of manow. L q h oa ha v oc dcon ha x of onn. q = coond o h ca wh x a mo aumd ha q. L h om vaa dnon h m o cumn wh oa duon funcon L. dn funcon. man vaanc V. L a. h Laac anfom of a.. h unvaa CUM oc of cumn mod n h a ad a foow: Rcumn don whnv h cumuav o of manow n h oanzaon xcd h mao hhod. h oanzaon ma o ma no o fo cumn f h cumuav o of manow xcd h oona hhod. Fom h cumn oc w no ha P P N P h aw of oa oa w hav P Y nc Y fom w P Y / Y Y dp Y III. Man Ru P N P Y P x Z a ndndn wh oa dn funcon h. duon M. cv P Y M h d 3.L DOI:.979/578-343384 www.oouna.o 39 Pa
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m o Rcumn Fo n ad Manow m Wh wo hhod Dffn och wh c f c c q f f c q c q c q c q f f. 8 Vaanc of m o cumn fo ca can comud fom 6 7 8. Ca: U fom an od ac wh h am of z aocad wh h od ac cd fom an xonna ouaon of ndndn dnca dud n-oc dcon m wh h common duon F. vn a n ca. L F. f. u u h duon h oa dn funcon of h cd fom h am of z fom h xonna ouaon 4 nown ha f F f F... u uo f f u. Fom 4 5 9 w U h od ac. Fom h ho of od ac 9 wh q q Vaanc of m o cumn whn f f can comud fom u. uo f f u. Fom 4 5 9 w 3 wh q q q q Vaanc of m o cumn whn f f u can comud fom 3 4 5 6. Rma: Vaanc on m o cumn fo h ca whn U 4 5 6 a qunc of ndndn dnca dud xonna om vaa can oand an c n ca. No: Whn ou u fo ca a wh h u n 9 fo h manow m havn on on hhod whch h mao hhod. DOI:.979/578-343384 www.oouna.o 4 Pa
m o Rcumn Fo n ad Manow m Wh wo hhod Dffn och Whn c ou u n ca a wh h u n 6 fo h manow m havn on on hhod whch h mao hhod. Whn c ou u fo ca a wh h u n fo h manow m wh wo hhod havn o of manow a ndndn dnca dud xonna om vaa. IV. Fndn Fom h aov u h foown ovaon a nd whch a wh a.. Whn α nca n a h oh aam fxd h ava o of manow nca. hfo h man vaanc of m o cumn nca.. λ nca on h ava h n-dcon m dca conqun h man vaanc of m o cumn dca whn h oh aam a fxd. 3. h man vaanc of h m o cumn dca o nca accodn a c> o c< nc h omc oc of n-oc dcon m ochaca dcan whn c> ncan whn c<. V. Concuon h n wo conu o h xn au n h n ha h mod dcud n h a a nw n h conx of condn aa on x on on h m ax fo aon h movn a v maon on nananou aon a dcon och aocan a oa fo an dcon o hav x on ovon of oona mao hhod. Fom h oanzaon on of vw ou mod a mo ua han h coondn mod wh nananou aon a dcon och a h ovon of x on a whch aon acua a ac oon h m o cumn. I ood o ud h n wo whn h o of manow oc a omc oc h m ha a ac u ouc. Rfnc D. J. ahoomw ochac mod fo oca oc Nw Yo John W on 973. D. J. ahoomw F. ndw Fo aca chnqu fo manow annn Nw Yo John W on 979. 3 R. C. nod K.. Maha Manow annn mod Nw Yo Noh-Ho 977. 4 J. u Duon of h maxmum of ahmc man of coad om vaa nn. Mahmaca ac 6 995 94-3. 5 J.. h Caa Conuon o h ud on om ochac mod n manow annn docoa d. haahdaan Unv uchaa. 6. Dv. nvaan Vaanc of m o cumn fo n ad manow m wh dffn och fo dcon x Innaona Jouna of Rach n Mahmac Comuaon 4 3-7. 7 J. Mdh ochac oc W an cond don Nw Dh 994. 8. Dv. nvaan xcd m o cumn n a n ad manow m wh dffn och fo dcon x havn coad n-dcon m un unvaa oc of cumn an cadmc Rach Jouna of Mudcna 3 4 57-58. 9. Dv. nvaan ochac mod fo m o cumn n a n ad manow m wh dffn och fo dcon x havn n- dcon m a omc oc cond Innaona Confnc on un nac Innc ICI 4.. Dv. nvaan xcd m o cumn fo a n ad manow m wh dffn och fo dcon x wh n- dcon m a an od ac Innaona Jouna of Innovav Rach n cnc nnn chnoo 48 5 757-75.. Ravchan. nvaan Vaanc of m o cumn fo a n ad manow m wh wo hhod havn dffn och fo dcon x Indan Jouna of d Rach 5 5 6-64.. Ravchan. nvaan m o cumn fo a n ad manow m wh wo hhod dffn och fo x coad n-dcon Innaona Rach Jouna of Naua d cnc 5 9-38. 3. Ravchan. nvaan m o cumn fo a n ad manow m wh wo hhod dffn och fo x omc n-dcon IOR Jouna of Mahmac V. III 5 9-3. 4. Ravchan. nvaan m o cumn fo a n ad manow m wh wo hhod dffn och fo n-dcon a an od ac x Innaona Jouna Of nnn nd cnc 56 5 4-8.. Ravchan. m o Rcumn fo a n ad Manow m wh wo hhod Dffn och fo In-Dcon x Havn Coad Waa. IOR Jouna of Mahmac IOR-JM vo. 3 no. 4 7. 38 4. DOI:.979/578-343384 www.oouna.o 4 Pa