Ieaoa Joa of Scece ad Eee Reeach IJSER Vo Ie Decembe -4 5687 568X Geeazed Dffeece Seece Sace O Semomed Sace B Ocz Fco A.Sahaaa Aa ofeo G Ie of TechooCombaoeIda. Abac I h aewe defe he eece ace o emomed come ea aceb ocz fco. We ve vao oee ad ao ome co eaoe.th d eeazed ome e of. ewod Ocz fco dffeece eece od ace eece aebacove fco.. ITRODUCTIO Le C ad C be he ea ace of boded covee. Le be he e of a eece X wh come mbe. wh Ldea ad Tzaf[4] have ed a ocz fco o coc he eece ace The ace whee eece ace. fo ome wh om become a Baach ace whch caed a ocz Le zeo eece deoed b... a zeo eeme of X. The ace ae emomed ace b whee X a emomed ace emomed b. whee DEFIITIO A ocz fco a fco [ [ whch coo o-decea ad cove wh fo ad a. Le X be a come ea ace wh zeo eeme... ad X X be a emomed ace wh he emom. deoe he ea ace of a eece X wh he a coodae we oeao. C If ad fo each whee C deoe he e of a come mbe. a caa eece ad he. Le U be he e of a eece come fo a =.Le wh ch ha ad be a eece of ove U mbe ad be a ocz fco. Gve. The we defe he eece ace S X fo ome I h eco he ace eeded o b odc he dffeece oeao. - fo ome Saha... IJSER Decembe - 4
Ieaoa Joa of Scece ad Eee Reeach IJSER Vo Ie Decembe -4 5687 568X Saha... IJSER Decembe - 4 The foow eae w be ed hoho h ae. Le be a eece of c ove ea mbe wh G ad e ma G D.The fo a ad C we have D. DEFIITIO A Seece ace E ad o be od o oma ma wheeve fo a eece of caa wh.teores OF Theoem. Le eece ace a ea ace ove he fed C of come mbe. oof Le ad C I ode o ove we eed o fd ome ch ha Sce Thee e ove mbe ch ha Defe ma D D ece f ad beo o ad C. Whee ma D ece a ea ace. Theoem. The ace a aaomed eed o oa aaomed wh.. f Whee ma oof To ove ha. The baddv of ve foow fom eao o a. ce ad = e we fo f. Fa we ove ha he caa mcao coo. Le be a mbe b defo.. f The
Ieaoa Joa of Scece ad Eee Reeach IJSER Vo Ie Decembe -4 5687 568X Saha... IJSER Decembe - 4.. f wh ee. ce ma he ma. ece.. f ma Ad heefoe covee o zeo whe covee o zeo. ow oe ha ad. Fo aba e be a ove ee ch ha Fo ome. Th me ha Le he defo of cove Sce coo eve whee [ he f coo a zeo. So hee ch ha f fo. Le be ch ha fo he > we have fo >. If we ae m o f we e..soe ARTICULAR CASES We e he foow eece ace fom o v aca vae o. Ta fo a we have fo ome If S = he we have fo ome If fo a ad S = he we have fo ome If we ae ad c he we have fo ome I addo o he above eece ace we have de o aha ad Chodh[5]o a fo a we have TEORE. Le fo each. The oof
Ieaoa Joa of Scece ad Eee Reeach IJSER Vo Ie Decembe -4 5687 568X Saha... IJSER Decembe - 4 Le To ove ha Le he hee e ome ch ha Th me ha fo ffce ae vae of.a fo ome fed. Sce o-decea we e Sce ece. Thee foe To ove ha Le To ove ha Le he hee e ome ch ha Th me ha fo ffce ae vae of. Sce o-decea we e ece. Thee foe To ove Le he hee e ome ch ha Th me ha fo ffce ae vae of.a fo Sce o-decea we e Sce ece. Thee foe ece he oof. TEORE. Le fo each. The. oof Le To ove ha Le he hee e ome ch ha
Ieaoa Joa of Scece ad Eee Reeach IJSER Vo Ie Decembe -4 5687 568X Saha... IJSER Decembe - 4 Th me ha fo ffce ae vae of. Sce o-decea we e Sce Theefoe ece. Theoem. If fo each he If fo each he oof Le To ove ha The hee e ome ch ha Th me ha fo ffce ae vae of. Sce o-decea we e Sce ece Thee foe To ove ha Le he hee e ome ch ha Th me ha fo ffce ae vae of. Sce o-decea we e Theefoe ec e ece he oof. ooo.4 Fo a wo eece ad of ove ea mbe ad a wo emom we have fo a m ad. oof Sce he zeo eeme beo o ad.th he eeco o em.
Ieaoa Joa of Scece ad Eee Reeach IJSER TEORE.5 The eece ace oof Le. od. Le be eece of caa ch ha. The we have fo a ece fo a eece of caa wh fo a wheeve. Theefoe he ace od eece ace. Vo Ie Decembe -4 5687 568X [8]. E. ad R.Coa O eeazed dffeece eece ace Soochow jo.mah.4 995. [9]. I.J.addo Eeme of fcoa aa Camb Uv.e97. []..IZAZ O cea eece ace Caad.ah.B. []. 49869-76. REFERECES []. Cdem A.Beahe eece ace o emomed ace Ida J.e A.ah45-5. []. C.Beaa ad Y.A he eece ace o emomed ace Ida J.e A.ah. 44 59-54. []. I.J.addo Eeme of Fcoa Aa Cambde v. e 97. [4]. J.Ldea ad L.Tzaf O Ocz eece ace Iae J.ah.9779-9. [5]. S.D.aaha ad B.Chodh Seece ace defed b Ocz fco Ida J.e A.ah.599449-48. [6]..Ida ad A.Saha aa The eece ace o emomed ace Ieaoa Joa fo Techooca Reeach Eee.vomee747-478. [7]. I.J.addo Sace of o mabe eece Qa. jo. ah.8 97645-55. Saha... IJSER Decembe - 4