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2

N Jhssnch Grkj Hxtrnthrrhstrmnas

By Mne Bhnrfsahy

Ikpyrmc`t © 24>2- 24>9 by Mne Bhnrfsahy



9

Metrkfuitmke

V`ms wkrl ms t`h shquha tk ‑Ne Hxtrnthrrhstrmna Nenaysms‚. Me t`nt wkrl wh prkvmfh

hvmfheih me suppkrt kg t`h mfhn t`nt hxtrnthrrhstrmnas cnvh us kur uemts kg jhnsurhjhet. Me

t`h ikursh kg mt wh fmsikvhrhf w`nt wkuaf shhj n jhssnch grkj hxtrnthrrhstrmnas

hjbhffhf me kur p`ysmis, w`mi` wh fhikfh. Mt shhjs tk sny skjht`mec nbkut t`h Hnrt`krbmtna phrmkf rhanthf tk chkjhtry. V`h wkrl ms fhvhakphf nakec t`h amehs kg n iksjkakcy

fhvhakphf nrkuef t`rhh eujbhrs? =/8, 8/9, nef >8. Gkr t`h krmcme kg t`ksh t`rhh eujbhrs,

rhnf t`ms wkrl, kr t`h bkkl mtshag. Me t`ms pnphr wh kgghr n substmtuth gkr t`h 8/9, kg >>/7

nef fhvhakp t`h bnsms gkr ne nathrenth iksjkakcy tk t`h keh fhvhakphf me t`h prmkr wkrl.Smt` t`ms nffhf fmgghrheih wh nrh nbah tk prkvmfh n syet`hsms kg t`h gmrst iksjkakcy wmt`

t`h ehw keh nef grkj t`nt gmef n akintmke me spnih gkr t`h krmcmes kg t`h `ypkt`htmina

jhssnch grkj hxtrnthrrhstrmnas. Mt tures kut tk bh me t`h snjh rhcmke kg spnih ns t`h Skw!

Ymcena, w`mi` ms t`h keh smcena YHVM (V`h Yhnri` Gkr Hxtrnthrrhstrmna Methaamcheih)rhihmvhf t`nt shhjs tk bh n smcena kg hxtrnthrrhstrmna krmcmes.



6

Cypsy Y`njnemsj Nef V`h Xemvhrsh



8

Jy Iksjmi Nri`nhkakcy ms bnshf ke t`h mfhn t`nt =/8 ms t`h ]me kg t`h Xemvhrsh, 8/9 ms

t`h ]nec kg t`h Xemvhrsh, nef >8 (Jneuha”s eujbhr, J) ms t`h jncmi eujbhr. Smt`t`hsh t`rhh eujbhrs wh ikestruit n Xemvhrsh t`nt shhjs strmlmecay jkrh t`ne

ikmeimfhetna.



7

NH-98

M wrkth n s`krt stkry anst emc`t, inaahf Cypsy Y`njnemsj nef t`h Xemvhrsh nbkut t`h NH-

98 uemt, w`mi` ms t`h uemt me t`h jkvmh nef bkkl 244>? N Ypnih Kfysshy t`nt @NA

rhpkrts wmaa gnma nef fmsiketmeuh ikjjuemintmke tk Hnrt`. M fhimfhf tk rhnf t`h pnssnch

fhnamec wmt` t`h hvhet me 244> nef @NA, t`h s`mp ikjputhr, rhpkrts mt wmaa gnma me wmt`me32 `kurs. Ytrnech, bhinush Wheus ms t`h skurih kg 3.2 me jy Ehptueh hquntmke nef

rhprhshets gnmaurh, w`hrh Jnrs rhprhshets suiihss. Ekt keay t`nt, w`he M ahnrehf t`h

`mc`hst chjntrmn (eujhrmina vnauh) gkr t`h enjh kg t`h @hbrhw Ckf, ]@S@ ms 32 grkj

w`nt Fkvmf Lrngi`kw, t`h Ohwms` Bk`hjmne snmf, mt rhsuathf me jy wkrl ]@S@, Ms`tnr,Nef V`h Ehptueh Hquntmke me jy bkkl, Yht V`hkry 4> Nef 42 Nef 49. Gurt`hr t`ms

ikeehits tk jy bkkl nbkut `kw Tnua Ahvmeske, Msnni Nsmjkv, Nef Nrt`ur I. Ianrlh

hetnecah wmt` jy amgh nef fmsikvhrmhs nbkut t`h Xemvhrsh, inaahf? Gmitmke Rhnamty

Hetnecahjhet? Ahvmeske, Nsmjkv, Nef Ianrlh. Anthay sui` hetnecahjhet `ns pmilhf upme pnih, nef M fke”t `nvh t`h tmjh tk wrmth mt naa kut, but M t`mel t`ms ms kg pnrtmiuanr

mjpkrtneih skjh`kw, sk M nj wrmtmec nbkut mt. @hrh nrh amels tk t`h t`rhh bkkls M oust

jhetmkehf?

Mne Bhnrfsahy

Nucust 8, 24>2



3

I`npthr Keh

Mt just `nvh bhhe >=0= kr >==4 w`he M tkkl n ahnvh kg nbsheih grkj V`h Xemvhrsmty Kg

Krhcke, stufymec Ypnems`, T`ysmis, nef wkrlmec nt t`h stnth kbshrvntkry me Krhcke --

Tmeh Jkuetnme Kbshrvntkry‖tk pursuh ganjheik me Ypnme.

V`h Jkkrs, w`k inrvhf invhs metk t`h `maas gkr rhsmfheih w`he t`hy whrh bumafmec t`h

Na`njbrn Instah ke t`h `maa gnimec t`hj, nbnefkehf t`hj bhgkrh t`h Cypsmhs, kr Rkjn,

`nf nrrmvhf t`hrh me Crnenfn Ypnme. V`h Cypsmhs whrh rhskurihgua hekuc` tk stuiik nef

tmah t`h nbnefkehf invhs, nef tnlh t`hj up gkr `kjhs.

Amvmec me keh sui` invh kwehf by n cypsy s`njne, wns rhnaay ekt n fkwe nef kut

smtuntmke, ns t`hsh `kjhs `nf paujbmec nef cns ikklmec uemts t`nt rne kgg bkttahs kg

prkpneh. Mt wns rhnaay ikjpnrnbah tk amvmec me n Entmvh Njhrmine nfkbh `kjh me EhwJhxmik.

Kg ikursh amvmec me sui` n panih injh wmt` rhspkesmbmamtmhs, nef t`nt meiaufhf wnthrmec mtscnrfhes. V`h Y`njne tkaf jh? ‑Snthr t`h gakwhrs, nef, w`he yku nrh fkeh, rkaa up t`h`ksh nef put mt me t`h invh, kr mt wmaa cht stkahe‚. M `nf stufmhf Instmamne Ypnems` me

ikaahch nef ns sui` n `ksh ms ‑uen jnecuhrn‚, but t`h Y`njne inaahf mt ‑uen ckjn‚ nef

ckjn trnesanths ns rubbhr. Rkaa up t`h `ksh nef put mt nwny w`he yku nrh fkeh wmt` mt?

ckkf nfvmih!

Yk, M wnthr t`h gakwhrs, rkaaup t`h `ksh nef put mt nwny. V`h Y`njne ikjhs tk t`h invh

t`h ehxt fny nef thaas jh M fmfe”t rkaa up t`h `ksh nef put mt nwny, sk mt ckt stkahe, neft`nt M `nf tk buy `mj n ehw keh.

@h ikjhs by t`h invh n ghw fnys anthr, wnlhs jh up nsls jh tk niikjpney `mj kut kg V`h Ynirkjketh, tk skjh panih bhtwhhe t`hrh nef t`h kaf Nrnbmi imty, Nabnmime, tk buy`mj n ehw `ksh.

Mt wnse”t n gnr wnal nt naa, t`h hqumvnahet kg n ghw imty bakils grkj t`h invhs. Sh cht tk

t`h stkrh, w`mi` wns n ikuethr gnimec t`h strhht, ekt keh t`nt yku ikuaf hethr. @h snys tkt`h jne bh`mef t`h ikuethr, cmvh jh 8 jhthrs kg `ksh. V`h jne bh`mef t`h ikuethr

puaahf kgg gmvh jhthrs kg `ksh grkj t`h spmefah, nef iut t`h `ksh tk t`nt ahect`. @h stnthf

n vnauh me phshtns, jnybh 044, kr sk, (nbkut hmc`t fkaanrs nt t`h tmjh) nef t`h Y`njne tkaf

jh tk cmvh t`nt njkuet tk t`h jne bh`mef t`h ikuethr, w`k wns Ypnems`. M pnmf t`h jne,nef wh ahgt.

M inrrmhf t`h `ksh, nef t`h Y`njne wnalhf nakec smfh jh uetma wh nrrmvhf nt `ms invh

w`hrh M wns stnymec. Sh hethrhf t`h invh stkpphf nt t`h wnal wny bhtwhhe amvmec rkkjnef lmti`he, nef `h snmf? ‑gkaakw jh‚. Sh whet t`rkuc` n tueeha t`nt `nf nbkut t`rhh

i`njbhrs me t`h invh, nef hethrhf keh ke kur rmc`t ns wh whrh `hnfmec me, nef wh

stkpphf nef bhgkrh jh wns n ikaahitmke kg w`nt M hstmjnthf tk bh gmgthhe rubbhr `kshs

smttmec ke crkuef. V`h Y`njne tkaf jh tk sht t`h keh M `nf oust bkuc`t `mj ke t`h gakkr



0

wmt` t`h kt`hrs. M fmf, nef wh ahgt t`h i`njbhr, nef `h ahgt t`h invh, nef M rhtrhnthf tk n

ikui` me t`h invh amvmec rkkj.

I`npthr Vwk

Cypsmhs `nvh n wny kg lekwmec t`mecs nbkut n phrske, w`ht`hr kr ekt keh fmsiakshs mt tkt`hj me wkrfs, nef V`h Y`njne wns nwnrh t`nt M ekt keay wkrlhf me Nstrkekjy, but t`nt

jy wkrl me nstrkekjy mevkavhf lekwmec nef fkmec hahitrkemis.

Yk, jnybh n whhl kr twk ngthr M `nf bkuc`t `mj n `ksh, `h injh tk `ms invh w`hrh M wnsstnymec, nef nslhf jh mg M wkuaf bh nbah tk mestnaa ne netheen gkr thahvmsmke nt ne

npnrtjhet w`hrh `ms ehp`hw amvhf.

Yk t`ms tmjh M wns ekt inrrymec n `ksh t`rkuc` V`h Ynirkjketh, but ne netheen.

V`hrh whrh shvhrna kg us ke t`h pntmk, ke n `maa nfonihet tk t`h npnrtjhet kg V`h Y`njne”s

Ehp`hw, mestnaamec ne netheen gkr thahvmsmke rhihptmke.

I`npthr V`rhh

M nj ekw me Ykut`hre Inamgkremn, nt t`h `kush kg jy jkt`hr, mt ms anth nt emc`t, s`h ms n

nsahhp, nef M nj nbkut 26 yhnrs kaf nef M fhimfh tk akkl kut t`h wmefkw, hnst, nirkss V`hNtanetmi, tk Ypnme. Mjjhfmnthay M shh t`h Y`njne, me `ms amvmec rkkj, w`hrh M `nf hnthe n

bkwa kg t`h Cypsy skup inaahf Tui`hrk, nef M ̀ hnr t`h wkrf Netheen. M ekw rhnamzh

w`he M mestnaahf t`h netheen, M `nf bhikjh keh, nef wns rhihmvmec jhssnchs grkj t`hY`njne.

V`h Y`njne”s I`mafrhe whrh ganjheik cumtnrmsts, nef M ahnrehf grkj t`hj, tk pany t`hcumtnr. M nj ekw panymec ganjheik, wmt` mestruitmkes grkj t`h s`njne tk put t`h cypsyspnih prkcrnj metk jy jusmi. M rhnamzh M nj ekt oust ney netheen, but t`h NH98 t`nt

jnagueitmkehf nbknrf V`h Fmsikvhry oust bhgkrh mt nrrmvhf nt t`h paneht Oupmthr me Nrt`ur

I. Ianrlh”s nef Ytneahy Lubrmil”s ‑244>? N Ypnih Kfysshy‚. V`h Y`njne thaas jh,

thahpnt`minaay, t`nt t`ms tmjh t`h jmssmke wke”t gnma.

I`npthr Gkur

M nj wnti`mec Ytnr Snrs nef shh n spnihs`mp, w`mi` ms twk kbakec inpsuahs gaymecikeehithf me tnefhj. V`h Cypsy Y`njne snys tk jh thahpnt`minaay? ‑Fmks hs uen mfhn?

ske fks‚. M uefhrstnef t`nt tk jhne ‑Ckf ms ne mfhn? t`hrh nrh twk hahjhets‚. Yk M ckt`rkuc` amgh bnsmec jy amgh ke t`h eujbhr twk.

I`npthr Gmvh

Keih keh `ns tnsthf Ypnme, t`nt phrske akecs tk rhture. M anef me Jnfrmf, Ekrt`hre Ypnme,

V`h Inpmtka. V`h Ypnemnrfs lekw jy fhstmentmke ms Crnenfn, Ykut`hre Ypnme, V`h CypsyEhmc`bkr`kkf inaahf V`h Ynirkjketh, t`h invhs, nef mjjhfmnthay rhikcemzh M nj uefhr



=

t`h sphaa kg n Cypsy Y`njne, nef w`nt ms jkrh t`nt M nj V`h NH98 Netheen gkr V`h

Cypsy Ypnih Trkcrnj. Ganjheik bhmec ganjheik, t`h Ypnemnrfs fk ekt uefk t`h sphaa,but rhprkcrnj t`h mestruitmkes gkr jh, t`h NH98 Netheen, sk t`nt w`he M nrrmvh bnil me

t`h Xemthf Ytnths, jy ganjheik wmaa ekw stnth t`hmr mfhn kg n spnih prkcrnj. Mt wns kg

ikursh, ganjheik bhmec ganjheik, ne ntthjpt tk kut-fk t`h Cypsy spnih prkcrnj.

I`npthr Ymx

M nj bnil me t`h Xemthf Ytnths nef M nj nt t`h `kush kg jy jkt`hr, mt ms emc`t tmjh ncnme,

s`h ms nsahhp, nef M akkl kut t`h wmefkw hnst, nirkss t`h Ntanetmi, tk Ypnme, nef t`ms tmjh Mfk ekt shh t`h amvmec rkkj kg t`h cypsy s`njne, but t`h strhhts kg Jnfrmf nt emc`t, nef naa

t`h phkpah, nef t`h wkrf Oupmthr ikjhs tk jmef nef M nj nbkut tk sny kg ikursh, Oupmthr,

nef V`h Ypnems` methrrupt nef sny ‑]hs, yku nrh rmc`t mt ms t`h anrchst paneht me t`h skanr

systhj, yku nrh rmc`t tk ikesmfhr mt, naa hash wmaa gakw grkj mt.‚

M lekw rntmks, me jnt`hjntmis nrh t`h jkst methrhstmec subohit, amlh pm, t`h rntmk kg t`h

imriujghrheih kg n imriah tk mts fmnjhthr, nef t`h ckafhe rntmk, sk M ikesmfhr t`h rntmk kg t`h krbmt kg Ynture (t`h shikef anrchst paneht me t`h skanr systhj) tk t`h krbmt kg Oupmthr ntt`hmr iakshst npprkni`hs tk V`h Yue, nef gmef mt ms emeh-gmgt`s (emeh ikjpnrhf tk gmvh)

w`mi` fmvmfhf kut ms keh pkmet hmc`t (>.0).

M t`he prkihhf tk t`h ehxt akcmina sthp? ekt rntmks, but prkpkrtmkes. N rntmk ms t`msikjpnrhf tk t`nt, but n prkpkrtmke ms t`ms ms tk t`nt ns t`ms ms tk t`nt. Yk t`h quhstmke ms?

Ynture ms tk Oupmthr ns w`nt ms tk w`nt; Kg ikursh t`h neswhr ms ns Ckaf ms tk Ymavhr. Ckaf

ms fmvmeh< smavhr ms ehxt fkwe ke t`h amst. Kg ikursh keh fkhs ekt ikjpnrh n fkzhekrnechs tk n `nag fkzhe nppahs, but n fkzhe kg keh tk n fkzhe kg t`h kt`hr, mg keh wnets tk

hxtrnit ney lmef kg jhnemec. But ntkjs kg ckaf nef smavhr nrh ekt jhnsurhf me fkzhes,

but me jkahs. Yk M ikjpnrhf n jkah kg ckaf tk n jkah kg smavhr, nef M snmf ek wny, mt msemeh-gmgt`s, nef Ynture ms mefhhf tk Oupmthr ns Ckaf ms tk Ymavhr.

M snmf tk jyshag? @kw gnr fkhs t`ms ck; V`h Y`njne”s ske keih tkaf jh `h wns me akvh

wmt` t`h jkke. Yk M ikjpnrhf t`h rnfmus kg t`h sue, t`h fmstneih grkj mts ihethr tk mts

surgnih tk t`h auenr krbmtna rnfmus, t`h fmstneih grkj t`h ihethr kg t`h hnrt` tk t`h ihethr kg t`h jkke. Mt wns Emeh ikjpnrhf tk Gmvh ncnme!

I`npthr Yhvhe

M `nf gkuef =/8 wns nt t`h irux kg t`h Xemvhrsh, but gkr hvhry yme t`hrh `nf tk bh n ynec.

Emeh gmgt`s wns keh nef hmc`t-thet`s kg t`h wny nrkuef n imriah. V`h keh tkkl yku bnil tkt`h bhcmeemec w`mi` ahgt yku wmt` 0 thet`s. Ekw ck tk hmc`t thet`s me t`h kt`hr fmrhitmke,

mt ms 32 fhcrhhs kg t`h 974 fhcrhhs me n imriah. V`nt ms t`h shpnrntmke bhtwhhe phtnas ke ngmvh-phtnahf gakwhr, n jkst pkpuanr nrrnechjhet. Mefhhf amgh ms lekwe tk `nvh gmvh-gkaf

syjjhtry, t`h p`ysmina, amlh sekwganlhs, smx-gkaf. Fk t`h nackrmt`j kg gmvh-gkaf

syjjhtry me rhvhrsh gkr smx-gkaf syjjhtry, nef yku cht t`h ynec tk t`h yme kg emeh-gmgt`s

ms gmvh-t`mrfs.



>4

Emeh-gmgt`s wns me t`h hahjhets ckaf tk smavhr, Ynture tk Oupmthr, Yue tk jkke. S`hrh wns

gmvh-t`mrfs; Ynat kg ikursh. ‑V`h Ynat Kg V`h Hnrt`‚ ms t`nt w`mi` ms ckkf, oust rhnfY`nlhsphnrh”s ‑Lmec Ahnr‚. Ykfmuj ms t`h jhtna ikjpkehet tk tnbah snat, Tktnssmuj ms,

nsmfh grkj bhmec ne mjpkrtnet ghrtmamzhr, t`h substmtuth gkr Ykfmuj, ns n jhtna ikjpkehet

tk jnlh snat substmtuth. V`h jkanr jnss kg pktnssmuj tk skfmuj ms gmvh tk t`rhh, t`h ynec

tk t`h yme kg emeh-gmgt`s, w`mi` ms ckaf tk smavhr. But juatmpay yme wmt` ynec, t`nt ms emeh-gmgt`s wmt` gmvh-t`mrfs, nef yku cht 9, nef t`h hnrt` ms t`h t`mrf paneht grkj t`h sue.

M t`kuc`t t`h irux kg t`h uemvhrsh just bh t`h fmgghrheih bhtwhhe emeh-gmgt`s nef gmvh-

t`mrfs. M subtrnithf t`h twk nef ckt twk-gmgthhet`s! Vwk ikjpnrhf tk gmgthhe! M `nfbkuc`t t`h Y`njne `ms gmgthhet` rubbhr `ksh, nef ngthr `h jnfh jh metk t`h NH98

Netheen keh kg `ms gmrst trnesjmssmkes tk jh wns? ‑Ckf Ms Ne Mfhn? V`hrh Nrh Vwk

Hahjhets‚.

Mt ms sk kbvmkus, t`h jkst nbuefnet cns me t`h Hnrt` Ntjksp`hrh ms Emtrkche,i`hjmina syjbka >8! Nask, t`h Hnrt` rktnths t`rkuc` >8 fhcrhhs me keh `kur.



>9

V`h Xrneus Hquntmke

M nslhf w`nt ehhfs tk bh fkeh tk skavh Jy Ehptueh Hquntmke, by ckmec fhhp wmt` t`h

cumtnr me Ykahn Tkr Buahrns. M gkuef t`h neswhr wns t`nt M fmfe”t `nvh hekuc`

megkrjntmke tk skavh mt.

V`he M rhnamzhf M ikuaf irhnth t`h ikjpahjhet kg t`h Ehptueh hquntmke by akklmec nt t`h

]nec kg 8/9, smeih t`h Ehptueh hquntmke injh grkj t`h ]me kg =/8.

Sh ush t`h snjh jht`kf ns gkr t`h Ehptueh hquntmke?

Ytnrt wmt` 0 nef nff 8 tk hni` nffmtmkena thrj (wh t`rkw n twmst by ekt stnrtmec wmt` 8)

8/9 :5 0, >9, >0, 29,…

Amst t`h eujbhrs t`nt nrh w`kah eujbhr juatmpahs kg 8/9?

8/9e : >.3, 9.9, 8, 7.3,…

Yubtrnit rhsphitmvh thrjs me t`h shikef shquheih grkj t`ksh me t`h gmrst?

7.9, =.3, >9, >7.9,…

V`ms ms ne nrmt`jhtmi shquheih wmt` ikjjke fmgghrheih 9.9. Mt ine bh wrmtthe?

(n[e) : 9 + 9.9e

V`ms ine bh wrttthe?

Hnrt` Krbmtna # + (Oupmthr Jnss/Ynture Jnss)e : n[e

Ahttmec e : 9 wh gmef n[e : >9

V`h iakshst tk t`ms ms t`h jnss kg Xrneus, w`mi` ms >6.86 hnrt` jnsshs. Mg Ehptueh ms t`h

]me paneht, t`he Xrneus ms t`h ]nec paneht. V`ms ms methrhstmec bhinush M `nf gkuef t`nt

Xrneus nef Ehptueh whrh fmgghrhet jnemghstntmkes kg t`h snjh t`mec. M `nf wrmtthe?

M inaiuanth t`nt t`kuc` Ehptueh ms jkrh jnssmvh t`ne Xrneus, mts vkaujh ms ahss sui` t`nt

t`hmr prkfuits nrh iaksh tk hqumvnahet. Me jnt`?

E[v : vkaujh kg EhptuehE[j : jnss kg Ehptueh

X[v : vkaujh kg Xrneus

X[j : jnss kg Xrneus

(E[v)(E[j) : (X[v)(X[j)



>6

V`h Xemgmintmke Kg Tm nef T`m by Emeh-Gmgt`s

Naa t`nt ms ahgt tk fk ms tk ikesmfhr pm, t`h imriujghrheih kg n imriah tk mts fmnjhthr, nef

p`m, t`h ckafhe rntmk, smeih t`hy nrh twk jkst mjpkrtnet, mg ekt jkst bhnutmgua rntmks me

jnt`hjntmis.

M `nvh gkuef emeh-gmgt`s kiiurs t`rkuc`kut enturh me t`h rktntmke kg phtnas nrkuef n

n gakwhr gkr n jkst pkpuanr nrrnechjhet, me t`h krbmts kg oupmthr tk snture me t`hmr

iakshst npprkni`hs tk t`h sue, me t`h rntmk kg t`h jkanr jnsshs kg ckaf tk smavhr, nef

me t`h rntmk kg t`h skanr rnfmus tk t`h auenr krbmt. M ekw gurt`hr ck ke tk sny t`nt t`ms

emeh-gmgt`s uemgmhs t`h twk jkst mjpkrtnet rntmks me jnt`hjntmis pm nef t`h ckafhe

rntmk (p`m), me t`nt

pm + p`m : 9.>6> + >.7>0 : 6.38=

Bhinush t`h eujbhrs ngthr t`h fhimjna me t`h suj (t`h mjpkrtnet pnrt) nrh 8 nef =

nef 3, t`h nvhrnch kg 8 nef emeh.

M s`kuaf nask amlh tk pkmet kut t`nt t`h gkurt` nef gmgt` eujbhrs ngthr t`h fhimjna mepm nrh 8 nef = nef me p`m t`h t`mrf nef gkurt` eujbhrs ngthr t`h fhimjna nrh keh nefhmc`t w`hrh emeh-gmgt`s fmvmfhf kut ms keh pkmet hmc`t, nef, gurt`hr, t`h gmrst nefshikef eujbhrs ngthr t`h fhimjna me p`m nff up tk jnlh 3, t`h nvhrnch kg = nef 8,nef subtrnit tk jnlh gmvh, nef t`h shikef nef t`mrf fmcmts ngthr t`h fhimjna nff uptk emeh. Yk ekt keay fkhs t`h skanr systhj uemgy pm nef p`m t`rkuc` emeh-gmgt`s, pm

nef p`m tnlhe nakeh hxprhss emeh-gmgt`s me t`h bhst pkssmbah wnys.



>8

Yujjnry Nbkut Emeh-Gmgt`s

Me Yujjnry, t`ms jkst bhnutmgua ikestnet me Enturh, kg emeh-gmgt`s, w`mi` uemgmhs pm nef

t`h ckafhe rntmk, t`h twk jkst bhnutmgua rntmks me jnt`hjntmis, ms t`h jkst pkpuanr

nrrnechjhet kg phtnas nrkuef n gakwhr, nef ms me t`h rntmk kg t`h jkanr jnsshs kg ckaf tk

smavhr, t`h jkst prhimkus kg t`h jhtnas. Keh ikuaf keay cuhss t`nt sui` wkuaf bhektmihnbah t`rkuc`kut t`h uemvhrsh nef wkuaf bh ektmihf by kt`hr methaamchet amgh me t`h

uemvhrsh, nef, ns sui` t`h rhantmkes`mp wkuaf bh mfhna gkr trnesjmssmke kg n jhssnch by

kt`hr methaamchet amgh gkrjs me t`h uemvhrsh tk sny tk t`h rhihmvhr? ‑M nj `hrh nef `nvh

ektmihf mt‚. V`h iurmkus t`mec ms t`nt mt hxmsts me kur skanr systhj me t`h rntmk kg t`h krbmt kg Ynture nt mts iakshst npprkni` tk t`h sue ikjpnrhf tk t`h krbmt kg Oupmthr nt mts iakshst

npprkni` tk t`h sue, jystminaay puttmec t`h Hnrt` nt keh uemt grkj t`h Yue (Oupmthr nef

Ynture bhmec t`h anrchst nef jkst jnssmvh me t`h skanr systhj, t`h Hnrt` t`nt paneht w`mi``nrbkrs methaamchet amgh me t`h Ykanr Yysthj), nef me t`h rntmk kg t`h Yue”s rnfmus tk t`h

krbmtna rnfmus kg t`h jkke (jkke-hnrt` shpnrntmke). V`h quhstmke ms w`y fkhs t`ms

rhantmkes`mp gkr pm nef t`h ckafhe rntmk kg emeh-gmgt`s ekt oust hxmst t`rkuc`kut t`h

Xemvhrsh me ckaf, smavhr, nef phr`nps gakwhr phtna nrrnechjhets, but jkrh akinaay me kurskanr systhj; Fkhs mt jhne `ujnes `nvh skjh lmef kg fmvmeh sphimnaehss me t`h iksjks;

S`mah wh ine lekw t`nt t`h emeh-gmgt`s p`hekjheke wkuaf bh rhprhshethf by ckaf nef

smavhr t`rkuc`kut t`h uemvhrsh, wh iurrhetay ineekt lekw w`ht`hr t`h me`nbmtnets kg kt`hr

stnr systhjs `nvh mt me t`hmr sue (stnr) t`hy krbmt nef n jkke t`nt jmc`t krbmt t`hmr panehtkr me t`h rntmk kg t`h krbmts kg t`h anrchst panehts me t`hmr stnr systhj puttmec t`hmr paneht nt

keh uemt grkj t`hmr stnr. V`h neswhr tk t`ms hemcjn, M t`mel, just bh kg hxtrnkrfmenry

prkguefmty.



>7

(pm) nef (h)

M `nvh tnalhf nbkut `kw =/8, w`mi` M `nvh gkuef hxmsts me Enturh nef t`h Xemvhrsh,

uemgmhs pm nef t`h ckafhe rntmk (p`m)?

(pm) + (p`m) : 9.>6> + >.7>0 : 6.38=

bhinush t`h gmrst t`rhh eujbhrs ngthr t`h fhimjna nrh 3, 8 nef =. Yhvhe ms t`h nvhrnch kg

emeh nef gmvh, nef t`h shikef eujbhr ms kur 8 me emeh-gmgt`s nef t`h t`mrf eujbhr ms t`h =

me emeh-gmgt`s.

Mt wkuaf shhj =/8 uemgmhs huahr”s eujbhr, h, nef pm, ns whaa?

(pm) + (h) : 9.>6> + 2.3>0 : 8.08=

V`h shikef eujbhr ngthr t`h fhimjna ms t`h 8 me emeh-gmgt`s, nef t`h t`mrf eujbhr ngthr t`h

fhimjna ms t`h = me emeh-gmgt`s. V`h gmrst eujbhr ngthr t`h fhimjna ms hmc`t. V`ms mssmcemgminet bhinush t`h 0 ms t`h 0 me >.0, w`mi` ms =/8 fmvmfhf kut. V`h keh wmaa tnlh ykunaa t`h wny nrkuef n imriah, w`nt ms ahgt ms 4.0.

Mne Bhnrfsahy

Oneunry >3, 24>9



>3

K gkr Hnrt` : >.6=8=3=H>9 ij R gkr Hnrt` : 7,930 lj J gkr Hnrt` : 8.=37H23 c

Hnrt`-Jkke Yhpnrntmke? 9.06H>4 ijYkanr Rnfmus? 7.=8==H>4 ij

Jkanr Jnss kg Ckaf? Nu : >=7.=3

Jkanr Jnss kg Ymavhr? Nc : >43.03

Ynture (jmemjuj fmstneih grkj sue) : =.4>6 NX : >.960H= lj

Oupmthr (jmemjuj fmstneih grkj sue) : 6.=8> NX : 3.64=H0 lj

Oupmthr (jnxmjuj fmstneih grkj t`h sue)? 8.688 NX ~ 8.6 Nstrkekjmina Xemts



>0

Ymx-Gkaf Yyjjhtry (V`h Emeh-Gmgt`s Nackrmt`j me Rhvhrsh)

974/7 : 74

974-74 : 944

944 ’ 74 : 264

264/974 :2/9

(2/9) + > : 8/9

Ikuethrpnrt tk emeh-gmgt`s ms gmvh-t`mrfs.

V`h gmvh-t`mrfs necah ms 74 fhcrhhs.

Ymxtyfhcrhhs ms t`h jhnsurh kg hni` necah me ne hqumanthrna trmnecah, w`mi` ms keh kg t`h

t`rhh thsshaantmec rhcuanr pkayckes. N sekwganlh wmt` hni` nrj shpnrnthf by smxty

fhcrhhs gkrjs n rhcuanr `hxncke wmt` methrena necahs kg >24 fhcrhhs.



>=

V`h ]nec Hahjhets

L : pktnssmuj

En : Ykfmuj

L/En : 9=.>4/22.== : >.3>

8/9 :>.73 ~ >.3

L/En ~ 8/9



24

Ne Nathrenth Iksjkakcy



2>

Me Cypsy ‑Y`njnemsj Nef V`h Xemvhrsh‚ wh tkkl Oupmthr nef Ynture ns t`h bhcmeemec

pkmets ns t`hy nrh ehxt tk keh nekt`hr me t`h skanr systhj, nrh me t`h jmffah kg t`h skanrsysthj by eujbhr, nef inrry jkst kg mts hehrcy kg jktmke nef necuanr jkjhetuj, ns

t`hy nrh t`h jkst jnssmvh smcemgminetay. V`hmr fmstneihs grkj t`h Yue nt iakshst

npprkni`hs nrh nbkut gmvh nef emeh, rhsphitmvhay, puttmec t`h Hnrt` emihay nt keh uemt grkj

t`h Yue. Ns wh gkuef =/8 me t`h jkanr jnss kg ckaf tk t`h jkanr jnss kg smavhr, nef met`h skanr rnfmus tk auenr krbmt, wh inaahf t`ms =/8 t`h ]me kg t`h Xemvhrsh. Jkst

meirhfmbay, bhmec >.0, wmt` t`h keh tnlmec us nrkuef n imriah keih ahnvmec 4.0 kg t`h 974 me

n imriah, wh ekthf ckmec me t`h kt`hr fmrhitmke tk mt wns t`h 32 fhcrhhs me t`h shpnrntmke kg

phtnas me n gmvh-phtna gakwhr nef t`nt, gmvh-gkaf syjjhtry ms typmina tk amgh.

Sh t`he skuc`t t`h ]nec kg smx-gkaf syjjhtry bhinush mt ms typmina tk p`ysmina enturh,

amlh sekwganlhs. Sh snmf mt wns 8/9 smeih mt rhprhshets t`h >24 fhcrhh jhnsurh kg necahs

me n rhcuanr `hxncke nef wh bumat kur uemvhrsh grkj t`hrh, rhsuatmec me t`h XrneusMethcrna, w`mi` wns qumth grumtgua. Aht us, `kwhvhr, t`mel kg ]nec ekt ns 8/9, but akkl nt

t`h necahs bhtwhhe rnfmm kg n rhcuanr `hxncke. Sh `nvh?

974 ’ 74 : 944

944 + 974 : 774

774/974 : >>/7

Sh sny ]me ms =/8 nef ]nec ms >>/7 nef stmil wmt` V`h Cypsy Y`njne”s >8 (Yhh Ne

Hxtrnthrrhstrmna Nenaysms, i`npthr tmtahf ‑Cypsy Y`njnemsj Nef V`h Xemvhrsh‚) nefbumaf kur Iksjkakcy grkj t`hrh.

Sh narhnfy bumat V`h Ehptueh Hquntmke grkj =/8 nef ushf mt wmt` 8/9 tk fhrmvh t`h panehtHurkpmn, but aht us nppay >>/7 me panih kg 8/9?

>>/7 :5 >>/7, >>/9, >>/2, 22/9,… : >.099, 9.773, 8.8, 3.999,…

>>/7 :5 7, 7+>> : >3, >3+>>:20, 20+>>:9=, … : 7, >3, 20, 9=,…

Yubtrnit t`h shikef shquheih grkj t`h gmrst?

6.>73, >9.999, 22.8, 9>.773,…

Ekw wh gmef t`h ikjjke fmgghrheih bhtwhhe thrjs me t`h antthr? =.>77, =.>73, =.>73,…

(n[e) : n + (e->)f : 6.>73+(e->)=.>73 : 6.>73 + =.>73e ’ =.>73 : =.>73e-8

Vry e:9? =.>73(9) ’ 8 : 23.84> ’ 8 : 22.84> (wkrls)



22

Kur hquntmke ms?

(n[e) : =.>73e ’8

Sh ektmih t`ms ine bh wrmtthe?

\(Ynture Krbmt)/(Hnrt` Krbmt)Ze ’ (Oupmthr Krbmtna #) : (n[e)

V`h Ehptueh Hquntmke gkr e:9 cnvh Ehptueh jnsshs, t`h Xrneus hquntmke gkr e:9 cnvh

Xrneus jnsshs. V`ms hquntmke gkr e:9 cmvhs iaksh tk t`h tmat kg t`h Hnrt` (29.8 fhcrhhs) men gkrj t`nt ms hxnitay `nag kg t`h 68 fhcrhhs me n squnrh wmt` mts fmnckena frnwe me. Me t`h

spmrmt kg kur gmrst iksjkakcy bumat upke =/8, 8/9, nef >8, wh wmaa inaa t`ms hquntmke V`h

Hnrt` Hquntmke.



29

N Jhssnch Grkj Hxtrnthrrhstrmnas



26

Ne Neimhet Jhssnch Grkj Hxtrnthrrhstrmnas; (Wkats Nef Hrcs)

Jy bkkl N V`krkuc` Fmjhesmkena Nenaysms ms nbkut `kw M prkvmfhhvmfheih me suppkrt kg t`h mfhn t`nt hxtrnthrrhstrmnas cnvh us kur uemts kg jhnsurhjhet, amlh t`h gkkt, t`h jhthr, t`h shikef, me Neimhet tmjhs fhspmth

t`h `mstkry t`nt thaas us t`h jhtrmi systhj ms jkfhre, nef t`h gkkt-pkuefsysthj, phr`nps n amttah njbmcukus me mts `mstkry. M t`mel nakec t`h wny mefkmec t`ms M jny `nvh gkuef ne heirypthf jhssnch grkj hxtrnthrrhstrmnas met`h eujbhr?

2.4222>>440

Meskgnr ns mt injh tk us grkj enturna ikestnets amlh t`h i`nrch kg ne hahitrke,t`h krbmtna phrmkf kg t`h Hnrt`, nef eujbhrs wh mevhethf amlh t`h jhnsurh kg hahitrkjktmvh pkthetmna, t`h vkat. V`h mfhn ms t`nt hxtrnthrrhstrmnas skjh`kwtkaf us tk jhnsurh hahitrkjktmvh pkthetmna wmt` n uemt kg vkats bhinush mt

wkuaf prkfuih t`h nbkvh eujbhr. M nj methrhsthf me mt bhinush kg t`hrhphtmtmke kg kehs nef twks, nef t`h shpnrntmke kg eujbhrs by zhrks.

Aht us akkl nt t`h pnrt ngthr t`h fhimjna. Mt ms?

4222>>440

Mt ms t`h shikef eujbhr t`rhh tmjhs, t`h gmrst eujbhr twk tmjhs nef t`h anst

eujbhr ms t`h eujbhr kg fmcmts t`nt prhihfh mt.

V`h t`rhh twks nef t`h twk kehs nff up tk t`h anst fmcmt, hmc`t.

V`h twk kehs nff up tk hni` kg t`h t`rhh twks.

Ehvhr `nvh M fmvmfhf kut fntn ikeihremec t`h skanr systhj nef enturnaikestnets nef ckt n eujbhr sk strnech. Xsunaay M cht stugg amlh

>.92788603Kr

>.7777773

Nef



28

9.>6>

Kr

>.7>0

Mg neykeh `ns ne mfhn ns tk `kw tk fhirypt mt, pahnsh aht jh lekw (M t`mel t`hgmrst npprkni` wkuaf bh tk akkl metk bmenry, kr ney rhanthf ikeihpt). Jy gmrstnpprkni` ms t`nt mt ms skjh lmef kg bmenry ikfmec kr kt`hr ikfmec gkr n imriumt.Gmef t`h imriumt nef akkl nt w`nt mt fkhs, tk shh w`nt t`hy wkuaf bh trymec tkthaa us. @hrh ms `kw mt wns fhrmvhf?

N fmkfh ms jnfh kg smamike (snef) fkphf wmt` p`ksp`krkus nef bkrke, naa

enturnaay kiiurrmec hahjhets jnfh (gkrchf) me methrmkr kg stnrs. N smamike

fmkfh ehhfs 4.7 vkats tk ikefuit n iurrhet. Me n fmkfh cnth n `mc` vkatnch ms

smx vkats nef t`h imriumt ms ke nef n akw vkatnch, kr crkuef (zhrk), t`h imriumt

ms kgg. Kgg ms ikfmec gkr zhrk nef ke ms ikfmec gkr >. _hrks nef kehs ine bh

struec tkcht`hr tk jnlh eujbhrs, nef ahtthrs me t`h nap`nbht.

Jneuha, t`h Cypsy Y`njne, snmf? ‑Ckf ms ne Mfhn, V`hrh nrh twk hahjhets.‚

Sh ine tnlh t`ms tk bh kur ]me nef ]nec kg =/8 nef 8/9. Akw vkatnch nef

t`h imriumt ms kgg< `mc` vkatnch nef t`h imriumt ms ke. V`hsh, ncnme, nrh t`h twk

hahjhets kg t`h Y`njne”s yme nef ynec.

Bhinush yku `nvh tk rue n fmkfh nt ahnst 4.7 vkats, t`ms ms subtrnithf grkj t`h

smx vkats t`nt ture t`h fmkfh ke, sk rhnaay mt kphrnths ke samc`tay ahss t`ne smxvkats. V`ms vkatnch frkp kg 4.7 Wkats me t`h imriumt ms w`nt wh wnet tk akkl

nt. Sh wmaa hvnaunth t`h vkatnch frkp kvhr t`h Y`njne”s jysthrmkus >8

shikefs nef kbtnme ne njkuet kg pkwhr, t`he nppay t`nt pkwhr kvhr keh yhnr

’ t`h tmjh mt tnlhs t`h hnrt` tk ck nrkuef t`h Yue. Sh `nvh narhnfy gkuef

t`nt t`h Y`njne”s >8 ekt keay uemgmhs jhthrs wmt` t`h uemvhrsh, but jhthrs

wmt` ghht, njnzmecay me t`h Xrneus Methcrna kutamehf bkt` me V`h Hxpakmts Kg

Jneuha nef Gurt`hr Hxpakmts Kg Jneuha.



27

Ekw wh fk t`h inaiuantmke?

Keh hahitrke vkat ms t`h hehrcy kg ne hahitrke gnaamec t`rkuc` n pkthetmnafmgghrheih kg keh vkat, w`mi` ms hquna tk >.742H->= Okuahs.

Keh Okuah ms >4,444,444 hrcs

(4.7 Wkats)(>.742H->= Okuahs) : =.7>2H-24 Okuahs

(=.7>2H-24 Okuahs)(>4,444,444 hrcs/Okuah) : =.7>2H->9 hrcs

(=.7>2H->9hrcs)/(>8 shikefs) : 7.640H->6 hrcs/shikef

978.28 * 26 * 74 * 74 : 9>,883,744 shikefs/yhnr

(7.640H->6 hrcs/shi)(9>,883,744 shikefs) : 2.4222>>440 jmirkhrcs : 2.4

jmirkhrcs

Mt ms najkst hxnitay twk jmirkhrcs! (Ms t`h twk jmirkhrcs prkjptmec t`nt whfhikfh t`h jhssnch me bmenry;)



23

Fhikfmec V`h Jhssnch

V`h jhssnch ms?

4222>>440

V`h 222 nffs up tk smx, w`mi` me bmenry ms >>4. V`h ehxt shcjhetms >>44, w`mi` ms n embbah, nef ms t`h eujbhr >2. V`ms shcjhet msme bmenry tk bhcme wmt`. V`h anst fmcmt ms ne hmc`t, w`mi` ms >444 mebmenry. V`us wh `nvh, meiaufmec t`h gmrst fmcmt, n zhrk, w`mi` ms nbmt?

(4) (>>4) (>>44) (>444)

Sh wrmth t`ms ns t`rhh embbahs?

(4>>4) (>>44) (>444)

V`us 4222>>440 trnesanths ns 4>>4 >>44 >444

S`mi` nrh t`h t`rhh eujbhrs?

7, >2, 0

V`hsh t`rhh eujbhrs fmvmfh emihay metk t`h 974 fhcrhhs kg n imriah?

974/>2 : 94 974/7 : 74 974/0 : 68

V`hsh nrh t`h necahs me t`h t`rhh sphimna trmnecahs wmt` w`mi` whine wrmth kut t`h trmckekjhtrmi gueitmkes kg mjpkrtnet necahs meiakshf gkrj?

94-74-=4 74-74-74 68-68-=4

7, >2, 0 `nvh t̀ h ikjjke fhekjmentkr kg twk. V`ms cmvhs us t`ht`rhh eujbhrs 9, 7, 6?

976



20

S`mi` ms vhry iaksh tk t`h eujbhr kg Hnrt` fnys me n yhnr (978).Nrh hxtrnthrrhstrmnas pkmetmec kut t`nt t`h eujbhr kg Hnrt` fnys me nyhnr nrh iakshay ikeehithf tk t`h t`rhh sphimna trmnecahs; V`heujbhr me bmenry ms methrhstmec, bhinush t`h kehs sirkaa kgg grkjrmc`t tk ahgt embbah tk embbah, keh fmcmt nt n tmjh.



2=

V`h Krmcme Kg V`h Hxtrnthrrhstrmna Jhssnch Ms Me V`h Ynjh TanihNs V`h Skw! Ymcena



94

Sh `nvh t`h Ehptueh Hquntmke?

3.2x ’6

Sh `nvh t`h Xrneus Hquntmke

9.9x + 9

Nef ekw wmt` kur nathrenth iksjkakcy wh `nvh V`h Hnrt`Hquntmke?

=x-8

Smt` t`rhh hquntmkes wh ine wrmth t`h pnrnjhthrmzhf hquntmkes me

9-fmjhesmkena spnih, pnrnjhthrmzhf me thrjs kg t, gkr x, y, nef z.Sh ine wrmth grkj t`nt g(x,y,z) nef gmef t`h crnfmhet vhitkr, krekrjna tk t`h hquntmke kg n paneh me kt`hr wkrfs, nef grkj t`nt nrhcmke me spnih.



9>

x(t ) :97

8t " 6

y(t ) :99

>4t + 9

z(t ) : =t " 8

8 x +24

97:

>4 y " 94

99:

z +8

=

8

97 x "

>4

99 y "

>

= z +

>4

>>: 4

# g : $8/97,">4/99,">/=%

n:8/97 b:->4/99

i : (8/97)2+ (>4/99)

2: 4.4=>0+4.4>= : 4.9920

f:->/=

tne" : b /n

" : #78.980k

tne$ : f /i

$ : #>0.67k

-78.980 fhcrhhs/>8 fhcrhhs/`kur :-6.9832 `kurs

26 44 44 ’ 6.9832 : >=.7620 `kurs

RN? >=` 90j 96s

Fhi? ->0 fhcrhhs 23 jmeuths 97 shikefs



92



99

Sh `nf t`rhh hquntmkes? V`h Ehptueh Hquntmke (fhrmvhf grkj t`h yme kg emeh-gmgt`s), V`h

Xrneus Hquntmke (fhrmvhf grkj t`h ynec kg gmvh-t`mrfs), nef V`h Hnrt` Hquntmke (fhrmvhfgrkj t`h nathrenth ynec kg hahvhe-smxt`s). Smt` t`rhh hquntmkes, wh ikuaf irhnth t`h

hquntmke kg n paneh me t`rhh fmjhesmkes. Sh gkuef t`h ekrjna vhitkr tk t`h paneh nef

fhfuihf grkj mts krmhetntmke fhcrhhs me, nef inaahf mt rmc`t nsihesmke nef mts fhcrhhs up

nef inaahf mt fhiamentmke. Fhiamentmke ms narhnfy me fhcrhhs, but wh `nf tk ikevhrt fhcrhhsme metk `kurs, jmeuths nef shikefs. Sh ekthf me fkmec ns sui` t`nt keih ncnme t`h Cypsy

Y`njne”s >8 uemgmhs twk systhjs kg jhnsurhjhet me t`nt t`hrh nrh >8 fhcrhhs tk hni`

`kur kg rmc`t nsihesmke. V`nt ms tk sny t`nt t`h Hnrt` rktnths t`rkuc` >8 fhcrhhs hvhry

`kur (974/26 :>8). V`ms ms mjpkrtnet bhinush t`ms jny bh nt t`h bnsms kg kur jysthry. Mwrkth nbkut w`y M t`mel wh `nvh n 26 `kur fny nef 974 fhcrhhs me n imriah me jy i`npthr

tmtahf V`h Fneih Kg V`h @hnvhes me jy bkkl Ne Hxtrnthrrhstrmna Nenaysms.

Bnil tk w`nt wh whrh fkmec? Sh fhrmvhf grkj t`h ekrjna vhitkr? (8/97, ->4/99, ->/=) nakintmke ke t`h ihahstmna sp`hrh kg >=` 90j 96s nef ’>0 fhcrhhs 23” 97‚ n rhcmke me t`h

ikesthaantmke Yncmttnrmus. V`h iakshst prkjmehet stnr tk t`ms M gkuef wns @F >06098 nef

nask ehnr, wns R`k 4> Yncmttnrmus. M gkuef t`ms ke t`h sly i`nrts me t`h grhhfkweaknfnbah sly i`nrtmec skgtwnrh inaahf Inrths fu Imha. Sh wmaa jnlh n cuhss t`nt t`hhxtrnthrrhstrmnas, w`k t`hkrhtminaay ahgt us n jhssnch, ns M fhfuihf grkj t`h enturh kg

hahitrkemis, nrh grkj t`nt rhcmke kg spnih.

Yncmttnrmus ms n rmi` sujjhr ikesthaantmke gkr us `hrh me t`h Ekrt`hre @hjmsp`hrh, w`mi`ms me t`h fmrhitmke kg t`h ihethr kg t`h cnanxy.



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98

V`h Skw Ymcena Nef Jy Ymcena

V`h prkohitmke by jy inaiuantmke t`rkuc` jy iksjkakcy kg yme, ynec, nef >8 gkr t`h

krmcme kg jy jhssnch grkj hxtrnthrrhstrmnas wns skjhw`hrh me t`h hnsthrejkst pnrt kg t`h

ikesthaantmke Yncmttnrmus. V`ms `npphes tk bh t`h snjh panih w`hrh t`h keh pkssmbah namhe

smcena wns fhthithf me t`h Yhnri` Gkr Hxtrnthrrhstrmna Methaamcheih (YHVM). Mt wns inaahf‑V`h Skw Ymcena‚ bhinush ke Nucust >8, >=33 t`h bmc hnr netheen rhihmvhf skjht`mec

t`nt shhjhf ekt amlh stnr ekmsh, but hxnitay w`nt t`hy whrh akklmec gkr me ne

hxtrnthrrhstrmna smcena. Mts enjh ms w`nt mt ms bhinush t`h nstrkekjhr ke futy, Ohrry R.

H`jne wrkth ‑Skw!‚ ehxt tk t`h eujbhrs w`he t`hy injh me. Meirhfmbay, mt ansthf t`hguaa 32 shikefs t`nt t`h Bmc Hnr netheen amsthehf gkr mt. M sny meirhfmbah bhinush M ̀ nvh

jhetmkehf t`h mjpkrtneih kg 32, ekt oust me jy Ehptueh hquntmke ’ gkr w`mi` jy akintmke

me spnih wns fhrmvhf me pnrt ’ but bhinush kg mts ikeehitmke tk t`h Cypsy Y`njne”s NH-

98 netheen nef mts rhantmke tk 32 me t`h jkvmh ‑244>? N Ypnih Kfysshy‚. V`h hstmjntmkekg t`h ikkrfmenths gkr t`h krmcme kg t`h Skw smcena nrh twk?

>=`22j26.76s

>=`28j>3.4>s

Smt` fhiamentmke kg?

-27 Fhcrhhs 28 jmeuths >3.4> s

V`nt ms nbkut 2.8 fhcrhhs grkj t`h stnr crkup I`m Yncmttnrrm

Mt ms vhry iaksh tk jy inaiuantmke gkr ne hxtrnthrrhstrmna imvmamzntmke t`nt M ghha `mf n

jhssnch me kur p`ysmis, w`mi` M inaiuanth tk bh ehnr @F >06098 nef hxnitay nt?

>=` 90j 96s

->0 Fhcrhhs 23 jmeuths 97 shikefs

V`h thahsikph t`nt fhthithf t`h Skw Ymcena wns nt K`mk Shsahyne Xemvhrsmty Fhanwnrh,K`mk inaahf V`h Thrlmes Kbshrvntkry.

Mne Bhnrfsahy Jny 7, 24>9



97

V`h Jkst Bmznrrh Ytkry Hvhr Vkaf

Fmf hxtrnthrrhstrmnas rhnaay netmimpnth, w`he t`hy shet us me >=33 n trnesjmssmke grkj t`h

ikesthaantmke Yncmttnrmus, t`nt ansthf 32 shikefs (YHVM”s Skw Ymcena) t`nt, n Cypsy

Y`njne, nrkuef >==4, wkuaf jnlh jh metk V`h NH-98 Netheen kg 244>? N Ypnih

Kfysshy t`nt t`h s`mp ikjputhr, @NA, wkuaf sny wkuaf gnma wmt`me 32 `kurs, t`h snjh 32kg t`h Skw Ymcena; Fmf t`hy lekw t`h trnesjmssmkes M wkuaf rhihmvh grkj t`h Cypsy

Y`njne, Jneuha, wkuaf ahnf ekt oust tk t`h fmsikvhry kg n jhssnch hjbhffhf me kur

p`ysmis, but n systhj kg t`rhh hquntmkes t`nt wkuaf pkmet tk t`h snjh rhcmke kg spnih ns

t`h Skw Ymcena, t`h ikesthaantmke Yncmttnrmus, gkr t`h krmcme kg jy jhssnch;

V`ms ms t`h snjh 32 t`nt ms me t`h 4.32 nstrkekjmina uemts kg Wheus grkj t`h Yue. Mt ms t`h

snjh 32 t`nt ms t`h eujbhr kg yhnrs gkr keh fhcrhh kg prhihssmke kg t`h Hnrt`”s

Hqumekxhs. Mt ms t`h snjh 32 kg t`h `mc`hst chjntrmn kg t`h @hbrhw Ckf, ]@S@, nefgurt`hr Wheus wns t`h Tntrkehss kg Emehvh` (Ms`tnr) w`hrh V`h Emehvh` Ikestnet wns

gkuef me Jhskpktnjmn, me Neimhet Yujhrmne iany iuehmgkrj tnbahts, n ikestnet t`nt ms t`h

ikjjke fhekjmentkr gkr naa ihahstmna iyiahs me kur skanr systhj.

Mne Bhnrfsahy

Oueh >6, 24>9



93

N Tkssmbah Jhnemec Kg V`h NH-98 Netheen

Tuttmec jyshag tk t`melmec nbkut t`h jhnemec kg t`h NH-98 netheenme 244>? N Ypnih Kfysshy, M wkuaf sny mt ms, me t`h gmaj, t`h turenrkuef pkmet gkr ùjnelmef bhtwhhe bhmec n bhmec t`nt fhphefs kethièkakcy nef n bhmec w`k ms ambhrnthf grkj thièkakcy< bhtwhhebhmec stmaa ne nph, nat`kuc` keh t`nt ms spnihgnrmec, nef t`hstnri`maf. @kw ms t`ms phrtmehet tk jy ikeehitmke bhtwhhe nehxtrnthrrhstrmna jhssnch, t`h Skw! smcena (furntmke 32 shikefs)nef t`h tmjh hstmjnth by @NA kg nt ahnst 32 `kurs bhgkrh gnmaurh kg t`h NH-98 uemt; Jy 3.2 me jy Ehptueh Hquntmke nef jyfmsikvhry kg w`nt shhjs tk bh n jhssnch hjbhffhf me kur p`ysmisgrkj hxtrnthrrhstrmnas grkj t`h snjh rhcmke kg spnih ns t`h Skw!smcena (Yncmttnrmus); Mt wkuaf shhj tk mefminth, mg jy

methrprhtntmkes kg t`h jnt` nrh ikrrhit, t`nt hxtrnthrrhstrmnas nrhthaamec us wh nrh nt n ture nrkuef pkmet kurshavhs, ekw, kr t`nt t`hynrh ckmec tk mevmth us metk sthaanr skimhty skke.



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A Message From ETs

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