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evsjv e¨vKiY I wbwg©wZ mßg †kªwY

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m¤úv`bvq cÖ‡dmi wbiÄb AwaKvix

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[cÖKvkK KZ©„K me©¯^Z¡ msiw¶Z] cix¶vg~jK ms¯‹iY cÖ_g cÖKvk : A‡±vei, 2012

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RvZxq wk¶vµg I cvV¨cy¯—K †evW© miKvi KZ©„K webvg~‡j¨ weZi‡Yi Rb¨ gy`ª‡Y :

m~PxcÎ µwgK bs 1. 2. 3. 4. 5. 5.1 5.2 5.3 5.4 6. 6.1 6.2 7. 8. 9. 10. 10.1 10.2 10.3 10.4 10.5 11. cvV wk‡ivbvg fvlv e¨vKiY aŸwb I eY© mwÜ kã I c` KviK I wefw³ m¤^Ü I m‡¤^vab c` kãiƒc we‡kl‡Yi ÔZiÕ I ÔZgÕ kãMVb DcmM©‡hv‡M kãMVb cÖZ¨q‡hv‡M kãMVb evK¨ weivgwPý evbvb kãv_© GKB k‡ãi wewfbœ A‡_©i cÖ‡qvM wecixZv_©K kã w`‡q evK¨ iPbv m‡gv”PvwiZ wfbœv_©K kã w`‡q evK¨ iPbv GK K_vq cÖKvk evM&aviv Abyaveb `¶Zv c„ôv 1-9 10-11 12-17 18-26 27 27-34 34-38 39-40 41-42 42-45 45-52 52-57 58-62 63-67 68-73 74 74-78 78-82 82-85 85-88 88-90 91 µwgK bs 12. 1. 2. 3. 4. 5. 6. cvV wk‡ivbvg wbwg©wZ : iPbv c„ôv 92-110

7. 8. 9. 10. 11. 12. 13. 12.1 12.2 12.3

Avgv‡`i RvZxq 92 cZvKv Avgv‡`i MÖvg 93 `k©bxq ¯’vb 94 evsjv‡`‡ki b`b`x 96 RvZxq Kwe KvRx 97 bRi“j Bmjvg Kx ai‡bi eB 99 Avgvi co‡Z fv‡jvjv‡M Avgvi Pvicv‡ki 100 cÖK…wZ Avgvi †`Lv GKwU 102 †gjv GKwU w`‡bi 103 w`bwjwc kwn` wgbvi 105 †Uwjwfkb 106 k„•Ljv‡eva 108 my›`ieb 110 mvigg©/mvivsk 111-114 fvem¤úªmviY 114-120 Av‡e`bcÎ I wPwV 121-128

cÖm½-K_v wk¶v RvZxq Rxe‡bi me©‡ZvgyLx Dbœq‡bi c~e©kZ©| Avi `ª“Z cwieZ©bkxj we‡k¦i P¨v‡jÄ †gvKv‡ejv K‡i evsjv‡`k‡K Dbœqb I mg„w×i w`‡K wb‡q hvIqvi Rb¨ cÖ‡qvRb mywkw¶Z Rbkw³| fvlv Av‡›`vjb I gyw³hy‡×i †PZbvq †`k Movi Rb¨ wk¶v_©xi Aš—wbwn©Z †gav I m¤¢vebvi cwic~Y© weKv‡k mvnvh¨ Kiv gva¨wgK wk¶vi Ab¨Zg j¶¨| GQvov cÖv_wgK ¯—‡i AwR©Z wk¶vi †gŠwjK Ávb I `¶Zv m¤cÖmvwiZ I mymsnZ Kivi gva¨‡g D”PZi wk¶vi †hvM¨ K‡i †ZvjvI G ¯—‡ii wk¶vi D‡Ïk¨| ÁvbvR©‡bi GB cÖwµqvi wfZi w`‡q wk¶v_©x‡K †`‡ki A_©‰bwZK, mvgvwRK, mvs¯‹…wZK I cwi‡ekMZ cUf~wgi †cÖw¶‡Z `¶ I †hvM¨ bvMwiK K‡i †ZvjvI gva¨wgK wk¶vi Ab¨Zg we‡eP¨ welq| RvZxq wk¶vbxwZ-2010 Gi j¶¨ I D‡Ïk¨‡K mvg‡b †i‡L cwigvwR©Z n‡q‡Q gva¨wgK ¯—‡ii wk¶vµg| cwigvwR©Z GB wk¶vµ‡g RvZxq Av`k©, j¶¨, D‡Ïk¨ I mgKvjxb Pvwn`vi cÖwZdjb NUv‡bv n‡q‡Q, †mB mv‡_ wk¶v_©x‡`i eqm, †gav I MÖnY ¶gZv Abyhvqx wkLbdj wba©viY Kiv n‡q‡Q| GQvov wk¶v_©xi ˆbwZK I gvbweK g~j¨‡eva †_‡K ïi“ K‡i BwZnvm I HwZn¨ †PZbv, gnvb gyw³hy‡×i †PZbv, wkí-mvwnZ¨-ms¯‹…wZ‡eva, †`k‡cÖg‡eva, cÖK…wZ-†PZbv Ges ag©-eY©-†MvÎ I bvix-cyi“l wbwe©‡k‡l mevi cÖwZ mggh©v`v‡eva RvMÖZ Kivi †Póv Kiv n‡q‡Q| GKwU weÁvbgb¯‹ RvwZ MV‡bi Rb¨ Rxe‡bi cÖwZwU †¶‡Î weÁv‡bi ¯^Ztù~Z© cÖ‡qvM I wWwRUvj evsjv‡`‡ki i~cKí-2021 Gi j¶¨ ev¯—evq‡b wk¶v_©x‡`i m¶g K‡i †Zvjvi †Póv Kiv n‡q‡Q| bZzb GB wk¶vµ‡gi Av‡jv‡K cÖYxZ n‡q‡Q gva¨wgK ¯—‡ii cÖvq mKj cvV¨cy¯—K| D³ cvV¨cy¯—K cÖYq‡b wk¶v_©x‡`i mvg_©¨, cÖeYZv I c~e© AwfÁZv‡K ¸i“‡Z¡i m‡½ we‡ePbv Kiv n‡q‡Q| cvV¨cy¯—K¸‡jvi welq wbe©vPb I Dc¯’vc‡bi †¶‡Î wk¶v_©xi m„Rbkxj cÖwZfvi weKvk mva‡bi w`‡K we‡klfv‡e ¸i“Z¡ †`Iqv n‡q‡Q| evsjv e¨vKiY I wbwg©Z cvV¨cy¯—KwU GKwesk kZ‡Ki m~Pbvj‡Mœ cwiewZ©Z mg‡qi †cª¶vc‡U wk¶v_©x‡`i Pvwn`v I `„wófw½i e¨vcK cwieZ©‡bi cUf~wg‡Z cwigvwR©Z KvwiKzjv‡gi Av‡jv‡K mßg †kªwYi Rb¨ iPbv Kiv n‡q‡Q| GKwesk kZ‡Ki A½xKvi I cÖZ¨q‡K mvg‡b †i‡L cwigvwR©Z wk¶vµ‡gi Av‡jv‡K cvV¨cy¯—KwU iwPZ n‡q‡Q| Kv‡RB cvV¨cy¯—KwUi AviI mg„w×mva‡bi Rb¨ †h‡Kv‡bv MVbg~jK I hyw³m½Z civgk© ¸i“‡Z¡i m‡½ we‡ewPZ n‡e| cvV¨cy¯—K cÖYq‡bi wecyj Kg©h‡Ái g‡a¨ AwZ ¯^í mg‡q cy¯—KwU iwPZ n‡q‡Q| d‡j wKQz fyjΓwU †_‡K †h‡Z cv‡i| cieZ©x ms¯‹iY¸‡jv‡Z cvV¨cy¯—KwU‡K AviI my›`i, †kvfb I ΓwUgy³ Kivi †Póv Ae¨vnZ, _vK‡e| evbv‡bi †¶‡Î Abym„Z n‡q‡Q evsjv GKv‡Wgx KZ…©K cÖYxZ evbvbixwZ| cvV¨cy¯—KwU iPbv, m¤úv`bv, bgybv cÖkœvw` cÖYqb I cÖKvkbvi Kv‡R hviv Avš—wiKfv‡e †gav I kªg w`‡q‡Qb Zuv‡`i ab¨ev` Ávcb KiwQ| cvV¨cy¯—KwU wk¶v_©x‡`i Avbw›`Z cvV I cÖZ¨vwkZ `¶Zv AR©b wbwðZ Ki‡e e‡j Avkv Kwi| cÖ‡dmi †gvt †gv¯—dv KvgvjDwÏb †Pqvig¨vb RvZxq wk¶vµg I cvV¨cy¯—K †evW©, XvKv

1. fvlv gvbyl fvlv-m¤ú‡`i AwaKvix| fve cÖKv‡ki cÖ‡qvRb †_‡KB fvlvi D™¢e| gvby‡li D”PvwiZ A_©en eûRb‡eva¨ aŸwb mgwóB fvlv| ci¯úi fve-wewbg‡qi Rb¨ GK-GK mgv‡Ri gvbyl M‡o Zz‡j‡Q GKGK iKg aŸwbe¨e¯’v| fvlv n‡”Q A_©en cÖYvwje× aŸwb-cÖZxK| gvbyl Zvi KÉwbtm„Z †h aŸwb ev aŸwbmgwói gva¨‡g fve I Abyfw~ Z‡K A‡b¨i Kv‡Q †evaMg¨fv‡e †cuŠ‡Q †`q, Zv-B fvlv (Language)| fvlv gvbe‡Mvôxi me‡P‡q ¸i“Z¡c~Y© I g~j¨evb m¤ú`| mgvRe× gvby‡li cvi¯úwiK fve wewbg‡q fvlv GKwU DbœZ gva¨g| gvbemf¨Zvi weKv‡k fvlvi f~wgKv Acwimxg| Avw`g Kv‡j gvbyl hLb ¸nvevmx, eb¨ I Afe¨ wQj, ZLbI gvbyl wb‡R‡`i g‡a¨ fv‡ei Av`vb-cÖ`vb KiZ| ZLb fve-wewbg‡qi gva¨g wQj Bkviv-Bw½ZA½fw½ BZ¨vw`| G¸‡jv fvlv-weKv‡ki cÖv_wgK i~c wn‡m‡e we‡eP¨| e¯‘Z Avw`Kv‡j gvbyl cvi¯úwiK fve-wewbg‡qi Rb¨ †hme gva¨g e¨envi KiZ †m¸‡jv n‡jv : (K) Bkviv-Bw½Z, (L) A½-cÖZ¨‡½i e¨envi, (M) bvP, (N) wPÎ BZ¨vw`| m„wói cÖ_g hy‡M mf¨Zvi †mvcv‡b cÖ_g c`‡¶c n‡jv msNe× n‡q KvR Kiv| Avi G †_‡KB ˆZwi n‡jv mgvR| Kv‡ji hvÎvq gvbyl hLb msNe×fv‡e emevm Ki‡Z ïiy Kij ZLb †m eyS‡Z cvij †h †Kej Bkviv-Bw½Z, A½-fw½i gva¨‡g g‡bi fve m¤ú~Y©i~‡c cÖKvk Kiv hvq bv| wbiš—i cÖ‡Póv, eyw× Ges mvabvi gva¨‡g Kvjµ‡g gvbyl aŸwbi cÖYvwje× D”PviY I e¨env‡i m¶g n‡jv| gvby‡li KÉwbtm„Z evM&aŸwbB fvlv wn‡m‡e M„nxZ| ejv evûj¨, Bw½‡Zi gva¨‡gI fv‡ei Av`vb-cÖ`vb Kiv hvq, wKš—z KÉaŸwb n‡”Q gvby‡li Abyf‚wZ cÖKv‡ki m‡e©vËg cÖwµqv| KÉaŸwbi gva¨‡g gvbyl m~²vwZm~² fve cÖKv‡k m¶g| ZvB Avgiv fvlv ej‡Z eywS evM&hš¿-m„ó me©Rb‡eva¨ aŸwbmgwó‡K| A_©vr gvbyl Zvi g‡bi fve cÖKvk Kivi Rb¨ KÉ, wRnŸv, Iô, `š—, bvwmKv, gyLweei cÖf…wZ evM&h‡š¿i mvnv‡h¨ †evaMg¨ †h aŸwb ev aŸwbmgwó D”PviY K‡i _v‡K, †mB aŸwb ev aŸwbmgwóB fvlv|

1.1 fvlvi msÁv I ˆewkó¨ msÁv : g‡bi fve cÖKvk Kivi Rb¨ gbyl¨RvwZ Ac‡ii †evaMg¨ †h aŸwb ev aŸwbmgwó D”PviY K‡i _v‡K, Zv‡K fvlv e‡j| fvlvweÁvbxMY wewfbœfv‡e fvlv‡K msÁvwqZ K‡i‡Qb| G cÖm‡½ K‡qKRb cÖL¨vZ fvlvcwʇZi fvlvm¤úwK©Z wPš—vm~Î DׄZ Kiv n‡jv : W±i gyn¤§` knx`yj−vn&i g‡Z, Ôgbyl¨RvwZ †h aŸwb ev aŸwbmKj Øviv g‡bi fve cÖKvk K‡i Zvi bvg fvlv|Õ

2

evsjv e¨vKiY I wbwg©wZ

fvlv m¤ú‡K© W±i mybxwZKzgvi P‡Ævcva¨vq e‡j‡Qb, Ôg‡bi fve cÖKv‡ki Rb¨ evM&h‡š¿i mvnv‡h¨ D”PvwiZ, aŸwbi Øviv wb®úbœ, †Kv‡bv we‡kl mgv‡R e¨eüZ, ¯^Zš¿fv‡e Aew¯’Z, Z_v ev‡K¨ cÖhy³ kãmgwó‡K fvlv e‡j|Õ g~jZ gvby‡li g‡bvfve-cÖKvkK KÉwbtm„Z A_©en aŸwbmgwóB fvlv|

fvlvi ˆewkó¨
1. fvlv KÉwbtm„Z aŸwbi mvnv‡h¨ MwVZ; 2. fvlvi A_©‡`¨vZKZv ¸Y we`¨gvb; 3. fvlv GKwU we‡kl m¤úª`v‡qi g‡a¨ cÖPwjZ I e¨eüZ; 4. fvlv gvby‡li †¯^”QvK…Z AvPiY I Af¨v‡mi mgwó; †`k, Kvj I cwi‡ek‡f‡` fvlvi cv_©K¨ I cwieZ©b N‡U| Avw` gvb‡ei †h fvlv wQj, Kvj cÖev‡n Zv cwiewZ©Z n‡q eû fvlvi Rb¥ w`‡q‡Q| G Rb¨ Avgiv wewfbœ †`‡k wewfbœ fvlvi e¨envi †`L‡Z cvB| †hgb : evsjv‡`‡k Ôevsjv fvlvÕ, Bsj¨v‡Û ÔBs‡iwR fvlvÕ, Rvcv‡b ÔRvcvwb fvlvÕ, ivwkqvq Ôiyk fvlvÕ BZ¨vw`| eZ©gv‡b c„w_ex‡Z mv‡o wZb nvRv‡ii Ici fvlv cÖPwjZ Av‡Q|

1.2 evsjv fvlvi D™¢e I µgweKvk evsjv fvlv nvRvi eQ‡ii cyi‡bv| evsjv fvlvi Drmg~‡j †h fvlvi mÜvb cvIqv hvq, Zvi bvg B‡›`vBD‡ivcxq g~j fvlv| AvR †_‡K cÖvq 5000 nvRvi eQi c~‡e© BD‡iv‡ci ga¨ fvM n‡Z `w¶Y-c~evsk © f~fv‡M B‡›`v-BD‡ivcxq g~j fvlv cÖPwjZ wQj| G B‡›`v-BD‡ivcxq g~j fvlvB n‡jv evsjv fvlvi Avw` Drm| Z‡e G Avw` Drm †_‡K weeZ©‡bi cieZx© av‡cB evsjv fvlvi Rb¥ nqwb| fvlvi ¯^vfvweK cwieZ©b I weeZ©‡bi avivq A‡bK Kvj a‡i A‡bK¸‡jv ¯—i †cwi‡q mßg kZ‡K evsjv fvlvi D™¢e N‡U‡Q| Z‡e evsjv fvlvi D™¢eKvj wbY©‡q cwÊZM‡Yi g‡a¨ gZcv_©K¨ i‡q‡Q| W±i gyn¤§` knx`yj−vn&i g‡Z, evsjv fvlvi D™¢eKvj 650 wLªóvã| Avi W±i mybxwZKzgvi P‡Ævcva¨vq 950 wLªóvã‡K evsjv fvlvi D™¢eKvj e‡j g‡b K‡ib|

1.3 mvay I PwjZ ixwZ : me©bvg I wµqvc‡`i cv_©K¨ evsjv‡`‡ki gvbyl Zv‡`i g‡bi fve cÖKv‡ki Rb¨ †h fvlv e¨envi K‡i, Zvi bvg evsjv fvlv| evsjv‡`‡ki evB‡i fvi‡Zi cwðge½ Ges SvoLÊ, wenvi, Dwol¨v, wÎcyiv, Avmv‡gi KwigMÄ I KvQv‡oi Awaevmx‡`i GKwU As‡ki gvZ…fvlv evsjv| e¯‘Z, †`k-RvwZ-ag© wbwe©‡k‡l evOvwj Rbmgv‡R e¨eüZ kã wb‡q evsjv fvlv MwVZ| evsjv fvlv cÖvq †`o nvRvi eQ‡ii cyi‡bv| `xN©w`b a‡i e¨env‡ii d‡j evsjv fvlvq wewfbœ i~‡ci m„wó n‡q‡Q| D‡j−L¨, c„w_exi me fvlv‡ZB `y‡Uv i~c †`Lv hvq| GKwU

fvlv

3

†jL¨ fvlv| Ab¨wU gy‡Li fvlv| fvlvixwZi w`K †_‡K evsjv fvlvq `ywU i~c ev ixwZ j¶ Kiv hvq| GKwU mvay fvlv Ges AciwU PwjZ fvlv|

mvay fvlv mvay fvlv evsjv fvlvi GKwU cÖvPxb wjwLZ i~c| evsjv mvwn‡Z¨i cÖvPxb I ga¨hy‡M c`¨B wQj fvecÖKv‡ki cÖavb evnb| ga¨hy‡M KwZcq †¶‡Î wPwVcÎ, `wjj-`¯—v‡e‡R M‡`¨i e¨envi †`Lv †M‡jI Zv wQj LyeB mxwgZ| Bs‡iR kvmb cÖwZwôZ nIqvi ci †_‡K evsjv M‡`¨ MÖš’ cÖYq‡bi cÖ‡qvRb †`Lv †`q| 1800 wLªóv‡ã KjKvZvq cÖwZwôZ †dvU© DBwjqvg K‡jR‡K †K›`ª K‡i M`¨PP©v ïiy nq| †mw`bKvi M`¨ †jLKMY M`¨MÖš’ iPbv Ki‡Z wM‡q Zuviv g~jZ wbf©i Ki‡jb mvayR‡bi g‡a¨ e¨eüZ ms¯‹…Z fvlvi Ici| Gfv‡e Dwbk kZ‡K evsjv M‡`¨i †h wjwLZ i~c M‡o I‡V, Zvi bvg †`Iqv nq mvay fvlv| mvay fvlv m¤ú‡K© fvlvPvh© mybxwZKzgvi P‡Ævcva¨vq wj‡L‡Qb, Ômvay fvlv mgMÖ e½‡`‡ki m¤úwË| Gi PP©v me©Î cÖPwjZ _vKv‡Z evOvwji c‡¶ Bnv‡Z †jLv mnR nBqv‡Q|Õ e¯‘Z evsjv M‡`¨i cÖv_wgK ch©v‡q g„Zz¨Äq we`¨vj¼vi, ivg‡gvnb ivq, Ck¦iP›`ª we`¨vmvMi, A¶qKzgvi `Ë cÖgyL cwÊZ ms¯‹…Z fvlvi Abymi‡Y Zrmg kãeûj †h mvwnwZ¨K M`¨ixwZ M‡o †Zv‡jb, Zv-B mvay fvlv wn‡m‡e ¯^xK…Z|

mvay fvlvi cÖvgvY¨ msÁv mvaviY M`¨-mvwn‡Z¨ e¨eüZ ev½vjv fvlv‡K mvay fvlv e‡j| ⎯ W±i mybxwZKzgvi P‡Ævcva¨vq evsjv fvlvi ms¯‹…Z kã-m¤ú` wµqv I me©bvg c‡`i c~Yi~c Ges e¨vKiYwm× Dcv`vb e¨envi © Kwiqv Bs‡iwR M`¨-mvwn‡Z¨i c`web¨vm cÖYvwji Abymi‡Y cwiKwíZ †h bZzb me©Rbxb M`¨ixwZ evsjv mvwn‡Z¨ cÖewZ©Z nq, Zvnv‡K evsjv mvay fvlv e‡j| ⎯ W±i gyn¤§` Gbvgyj nK g~jZ †h fvlvixwZ‡Z wµqvc` I me©bvg c` c~Y©iƒ‡c eZ©gvb _v‡K, Zv-B mvay fvlv| †hgb : Zvnviv †Lwj‡Z‡Q| Dnviv NygvBqv iwnqv‡Q|

PwjZ fvlv
†Kv‡bv GKwU cÖavb fvlvi AvIZvfz³ mgMÖ f‚L‡Êi wewfbœ A‡j wewfbœ K_¨i~c ev †gŠwLK fvlv e¨eüZ nq| gy‡Li fvlv‡K wjwLZ fvlvq e¨envi Kivi D‡Ï‡k¨ PwjZ fvlvi cÖPjb nq| Z‡e mevi gy‡Li fvlvB PwjZ fvlv bq, KviY gy‡Li fvlv AÂj‡f‡` cwieZ©b nq| ZvB wbw`©ó A‡j GKwU wbw`©ó GjvKvi wkw¶Z I wkóR‡bi †gŠwLK fvlv‡K gvb¨ PwjZ fvlv wn‡m‡e ¯^xK…wZ †`Iqv nq| D‡j−L¨ fvMxi_x b`xi ZxieZx© GjvKv I KjKvZvi f`ª I wkw¶Z mgv‡R e¨eüZ †gŠwLK fvlvwU‡K Aí-we¯—i cwigvwR©Z K‡i GKwU me©Rb‡eva¨ Av`k© K_¨ fvlv M‡o †Zvjv nq| GUvB n‡jv evsjvi Av`k© PwjZ fvlv| evsjv fvlvfvlx wkw¶Z RbMY G Av`k© fvlv‡ZB cvi¯úwiK fv‡ei Av`vb-cÖ`vb K‡i _v‡Kb| PwjZ fvlv eZ©gv‡b GKvav‡i †jLvi fvlv I gy‡Li fvlv|

4

evsjv e¨vKiY I wbwg©wZ

PwjZ fvlvi cÖvgvY¨ msÁv
`w¶Y-cwðge‡½ fvMxi_x b`xi ZxieZx© ¯’v‡bi f`ª I wkw¶Z mgv‡R e¨eüZ †gŠwLK fvlv, mgMÖ evsjv‡`‡ki wkw¶Z mgvR KZ…©K †kªô †gŠwLK fvlv e‡j M„nxZ nBqv‡Q| GB †gŠwLK fvlv‡K we‡klfv‡e PwjZ fvlv ejv nq| ⎯ W±i mybxwZKzgvi P‡Ævcva¨vq Z™¢e kã, msKzwPZ wµqv, n«¯^xK…Z me©bvg c` Ges †jL‡Ki g‡bvfve Abymvix c`web¨vm cÖYvjxi e¨envimn †h ¯^”Q›`, PUzj I me©Rbxb mvwnwZ¨K M`¨ixwZ KwjKvZv I fvMxi_x ZxieZx© A‡ji gy‡Li fvlvi Av`‡j Mwoqv DwVqv‡Q, Zvnvi bvg PwjZ fvlv| ⎯ W±i gyn¤§` Gbvgyj nK g~jZ †h fvlvixwZ‡Z wµqvc` I me©bvg c` msw¶ß AvKv‡i e¨eüZ nq, Zv‡K PwjZ fvlv e‡j| †hgb : Zviv †Lj‡Q| Iiv Nywg‡q i‡q‡Q| cÖavbZ wµqvc` I me©bvg c‡`i cv_©K¨ we‡ePbv K‡iB mvay fvlv I PwjZ fvlv wbi~cY Kiv nq| D`vniY¯^i~c ejv hvq : ÔZvnviv cwo‡Z‡QÕ⎯ evK¨wU‡Z `ywU c` Av‡Q| ÔZvnvivÕ me©bvg c` Ges Ôcwo‡Z‡QÕ wµqvc`| mvay fvlvi Dwj−wLZ c` `y‡Uv‡Z me©bvg c` I wµqvc` c~Y©i~‡c e¨eüZ n‡q‡Q| Gevi evK¨wU‡K PwjZ fvlvq i~cvš—i Ki‡j Zvi i~c `uvov‡e ÔZviv co‡QÕ| G‡¶‡Î evK¨wU‡Z ÔZvivÕ me©bvg c` Ges Ôco‡QÕ wµqvc` msw¶ß AvKv‡i e¨eüZ n‡q‡Q| mvay fvlvi wµqvc` : Kwi‡ZwQ, LvBqvwQ, ewj‡ZwQ, hvB‡ZwQ, cwo‡ZwQ, †`wL‡ZwQ BZ¨vw`| PwjZ fvlvi wµqvc` : KiwQ, †L‡qwQ, ejwQ, hvw”Q, cowQ, †`LwQ BZ¨vw`| mvay fvlvi me©bvg c` : Zvnvi, Zvnviv, Zvnv‡`i, Dnv‡`i BZ¨vw`| PwjZ fvlvi me©bvg c` : Zvi, Zviv, Zv‡`i, I‡`i BZ¨vw`|

mvay fvlv I PwjZ fvlvq wµqvc‡`i KwZcq i~c : mvay fvlv Kwie cwoe wjwLe Kwi‡ZwQjvg cwo‡ZwQjvg wjwLqvwQ KwiqvwQ cwoqvwQ cwo‡Z _vwKe Kie coe wjLe KiwQjvg cowQjvg wj‡LwQ K‡iwQ c‡owQ co‡Z _vKe PwjZ fvlv

fvlv Kwi‡ZwQ Kwijvg LvB‡Z‡Q nBZ LvB‡e hvB‡e ewje Kwi‡j hvBI LvBI jBe KwiZvg nBqv KiwQ Kijvg Lv‡”Q n‡Zv Lv‡e hv‡e eje Ki‡j †h‡qv/†hI †L‡qv/ †LI †be KiZvg n‡q

5

mvay fvlv I PwjZ fvlvq me©bvg c‡`i KwZcq i~c : mvay fvlv Zvnvi Zvnv‡`i Zvnv‡Z Zvnviv Zvnv‡K Bnviv Bnv‡`i Dnviv Dnv‡`i Dnv GB Bnv Bnv‡K Kvnvi hvnv Zvi Zv‡`i Zv‡Z Zviv Zv‡K Giv G‡`i Div I‡`i I G GwU G‡K Kvi hv PwjZ fvlv

6 hvnviv Bnvi Kvnv‡K hvnv‡K hviv Gi Kv‡K hv‡K

evsjv e¨vKiY I wbwg©wZ

mvay fvlv I PwjZ fvlvi ˆewkó¨ mvay fvlv I PwjZ fvlv bvbv w`K †_‡K ¯^vZš¿¨gwÊZ| G Dfq fvlvixwZi ˆewkó¨ ch©vqµ‡g Av‡jvPbv Kiv n‡jv :

mvay fvlvi ˆewkó¨
1. mvay fvlvq wµqvc‡`i i~c c~Y©v½| †hgb : KwiqvwQ, wMqvwQ| 2. mvay fvlvq me©bvg c‡`i i~c c~Y©v½| †hgb : Zvnvi, Zvnviv, Zvnv‡`i| 3. mvay fvlvq Abym‡M©i c~Y©i~c e¨eüZ nq| †hgb : nB‡Z, w`qv| 4. mvay fvlvq Zrmg k‡ãi (ms¯‹…Z kã) cÖ‡qvM †ewk| †hgb : n¯—, g¯—K, N„Z, †aŠZ| 5. mvay fvlvi D”PviY ¸i“M¤¢xi| 6. mvay fvlv mywba©vwiZ e¨vKi‡Yi Abymvix| Gi KvVv‡gv mvaviYZ AcwieZ©bxq| 7. mvay fvlv e³…Zv I bvU¨ msjv‡ci Abyc‡hvMx|

PwjZ fvlvi ˆewkó¨
1. PwjZ fvlvq wµqvc‡`i i~c msw¶ß| †hgb : K‡iwQ, wM‡qwQ| 2. PwjZ fvlvq me©bvg c‡`i iƒc msw¶ß| †hgb : Zviv, Zv‡`i| 3. PwjZ fvlvq Abym‡M©i msw¶ß i~c e¨eüZ nq| †hgb : n‡Z, w`‡q| 4. PwjZ fvlvq Z™¢e, Aa©-Zrmg, †`wk I we‡`wk k‡ãi e¨envi †ewk| †hgb : nvZ, gv_v, wN, †avqv| 5. PwjZ fvlvi D”PviY nvjKv I MwZkxj| 6. PwjZ fvlv cwieZ©bkxj| 7. PwjZ fvlv PUzj, Rxeš— I †jvKvqZ|

fvlv

7

mvay I PwjZ ixwZi cv_©K¨ mvay I PwjZ fvlvi ˆewkó¨ †_‡K G fvlvixwZi cv_©K¨ mn‡RB Abyaveb Kiv hvq| wb‡P mvay I PwjZ fvlvi cv_©K¨ D‡j−L Kiv n‡jv : mvay fvlv mvay fvlvq wµqvc‡`i i~c c~Y©v½| †hgb : KwiqvwQ, wMqvwQ| mvay fvlvq me©bvg c‡`i i~cv c~Y©v½| †hgb: Zvnvi, Zvnviv, Zvnv‡`i| mvay fvlvq Zrmg k‡ãi (ms¯‹…Z kã) cÖ‡qvM †ewk| †hgb : n¯—, g¯—K, N„Z, †aŠZ| PwjZ fvlv PwjZ fvlvq wµqvc‡`i i~c msw¶ß| †hgb: K‡iwQ, wM‡qwQ| PwjZ fvlvq me©bvg c‡`i i~c msw¶ß| †hgb : Zvi, Zviv, Zv‡`i| PwjZ fvlvq Z™¢e, Aa©-Zrmg, †`wk I we‡`wk k‡ãi e¨envi †ewk| †hgb : nvZ, gv_v, wN, †avqv| mvay fvlvq Abym‡M©i c~Y©i~c e¨eüZ nq| †hgb : PwjZ fvlvq Abym‡M©i msw¶ß i~c e¨eüZ nB‡Z, w`qv| nq| †hgb : n‡Z, w`‡q| mvay fvlv e³…Zv I bvU¨ msjv‡ci Abyc‡hvMx| PwjZ fvlv e³…Zv I bvU¨ msjv‡ci Dc‡hvMx| mvay fvlv gvwR©Z| PwjZ fvlv PUzj, Rxeš— I †jvKvqZ|

mvay I PwjZ fvlvi bgybv mvay fvlvi bgybv 1. evjKM‡Yi DwPZ, evj¨Kvj Aewa cwikªg Kwi‡Z Af¨vm Kiv, Zvnv nB‡j eo nBqv Abvqv‡m mKj Kg© Kwi‡Z cvwi‡e, ¯^qs Abœ e‡¯¿i †K¬k cvB‡e bv Ges e„× wcZvgvZvi cÖwZcvjb Kwi‡ZI cviM nB‡e| [ †ev‡av`q : Ck¦iP›`ª we`¨vmvMi 2. hvnv Áv‡bi K_v Zvnv cÖPvi nBqv †M‡jB Zvnvi D‡Ïk¨ mdj nBqv †kl nBqv hvq| gvby‡li Ávb m¤^‡Ü b~Zb Avwe®‹v‡ii Øviv cyivZb Avwe®‹vi Av”Qbœ nBqv hvB‡Z‡Q| Kvj hvnv cwʇZi AMg¨ wQj AvR Zvnv Ae©vPxb evj‡Ki Kv‡QI b~Zb b‡n| [mvwn‡Z¨i mvgMÖx : iex›`ªbv_ VvKyi] PwjZ fvlvi bgybv 1. Avgv‡`i g‡b nq G †`‡k jvB‡eªwii mv_©KZv nvmcvZv‡ji PvB‡Z wKQy Kg bq Ges ¯‹zjK‡j‡Ri PvB‡Z GKUz †ewk| G K_v ï‡b A‡b‡K Pg‡K DV‡eb| †KD †KD Avevi †n‡mI DV‡eb; wKš—z Avwg Rvwb, Avwg iwmKZvI KiwQ‡b; hw`I G wel‡q †jvKgZ †h Avgvi g‡Zi mg‡iLvq P‡j bv, †m wel‡q Avwg m¤ú~Y© m‡PZb| [eB cov : cÖg_ †PŠayix] 2. e„‡¶i w`‡K ZvKv‡j Rxe‡bi Zvrch© Dcjwä mnR nq| ZvB, evievi †mw`‡K ZvKv‡bv cÖ‡qvRb| gvwUi im †U‡b wb‡q wb‡R‡K †gvUv‡mvUv K‡i †Zvjv‡ZB e„‡¶i Kv‡Ri mgvwß bq|

8

evsjv e¨vKiY I wbwg©wZ Zv‡K dzj †dvUv‡Z nq, dj aiv‡Z nq| bB‡j Zvi Rxeb Am¤ú~Y© n‡q hv‡e| ZvB e„¶‡K mv_©KZvi cÖZxK wn‡m‡e MÖnY Kivi cÖ‡qvRbxqZv mRxeZv I mv_©KZvi Ggb `„óvš— Avi †bB| [Rxeb I e„¶ : †gvZv‡ni †nv‡mb †PŠayix]

fvlvixwZi cwieZ©b
(K) mvay †_‡K PwjZ mvay ixwZ c‡_ GK hye‡Ki mwnZ Zvnvi mv¶vr nBj| Mdzi Pzc Kwiqv iwnj| cvKv `yB †µvk c_ nuvwUqv ¯‹z‡j we`¨v AR©b Kwi‡Z hvB| Avwg e¨vcviwU eywSqv Avgvi weQvbv ¸UvBqv jBqv Zvnv‡`i ¯’vb Kwiqv w`jvg| Avwgbv Ni nB‡Z `yqv‡i Avwmqv `uvovBj| (L) PwjZ †_‡K mvay PwjZ ixwZ mvay ixwZ `yB PwjZ ixwZ c‡_ GK hye‡Ki m‡½ Zvi †`Lv n‡jv| Mdzi Pzc K‡i iBj| cvKv `y‡µvk c_ †nu‡U ¯‹z‡j we`¨v AR©b Ki‡Z hvB| Avwg e¨vcviUv ey‡S Avgvi weQvbv ¸wU‡q wb‡q Zv‡`i RvqMv K‡i w`jvg| Avwgbv Ni n‡Z `yqv‡i G‡m `uvovj|

†P‡q †`wL, Avgv‡`i ingZ‡K `y cvnvivIqvjv Pvwnqv †`wL, Avgv‡`i ingZ‡K †eu‡a wb‡q Avm‡Q| cvnvivIqvjv euvwaqv jBqv Avwm‡Z‡Q| nvRvi eQi a‡i gvbyl G‡`i †`L‡Q| nvRvi eQi awiqv gvbyl Bnv‡`i †`wL‡Z‡Q|

cv‡kB wKQz `~‡i GKUv kvjyK †`L‡Z cvq cv‡k¦©B wKQz `~‡i GKwU kvjyK †`wL‡Z cvq Imgvb| Imgvb| Avgv‡`i G fxi“Zv wK wPiw`bB †_‡K hv‡e? G K_v ï‡b A‡b‡K Pg‡K DV‡eb| Avgv‡`i GB fxi“Zv wK wPiw`bB _vwKqv hvB‡e? GB K_v ïwbqv A‡b‡K PgwKqv DwV‡eb|

fvlv

9

Abykxjbx
1| fvlv Kv‡K e‡j? 2| evsjv fvlv Kv‡K e‡j? evsjv fvlvi DrcwËi GKwU cwiPq `vI| 3| mvay I PwjZ fvlv Kv‡K e‡j? mvay I PwjZ fvlvixwZi ˆewkó¨mg~n D‡j−L Ki| 4| mvay I PwjZ fvlvixwZi cv_©K¨ †jL| 5| wbgœwjwLZ k㸇jvi PwjZi~c †jL| GB, Bnv‡`i, GKwU, Zvnvi, Dnvi, KwiqvwQjvg, wMqv, KwiZvg, nBe| 6| wbgœwjwLZ k㸇jvi mvayi~c †jL| Zvi, Zviv, G‡`i, Zv‡`i, Div, I‡`i, KBj, PvBj, KiZvg, ïbe, WvKjvg|

Kg©-Abykxjb
1| fve cÖKvk, A_©enZv, evM-hš¿ÑG welq¸‡jv Aš—fz©³ K‡i fvlvi GKwU msÁv ˆZwi Ki|

4| cÖ`Ë k㸇jvi cwiewZ©Z i~c Wvb cv‡ki mwVK N‡i emvI : Kvnv‡K, hvi, Dnv‡`i, Kwijvg, †Pbv, MÖvg¨, c~Rv, eis, Z_vwc, n‡”Q| cÖ`Ë kã mvay PwjZ

10

evsjv e¨vKiY I wbwg©wZ

2. e¨vKiY
2.1 e¨vKiY e¨vKiY fvlvi weÁvbm¤§Z we‡k−l‡Yi kv¯¿| fvlv wewfbœ Dcv`v‡b MwVZ nq Ges wewfbœ ixwZ‡Z e¨eüZ nq| MVb I e¨env‡ii †¶‡Î cÖ‡Z¨K fvlviB wbR¯^ wKQz wbqg-k„•Ljv Av‡Q| G wbqg-k„•Ljv m¤ú‡K© h_vh_ Ávb jvf Ki‡Z n‡j fvlvi wewfbœ Dcv`vb Ges Zv‡`i cvi¯úwiK m¤úK© I †hvMv‡hvM cÖYvwji ¯^i~c we‡k−lY cÖ‡qvRb| fvlvi G ¯^i~c we‡k−lYB Ôe¨vKiYÕ bv‡g AwfwnZ| e¨vKiY kãwU‡K we‡k−lY Ki‡j Avgiv cvB⎯ we (we‡kl) + Av (mg¨K) + √K…+ Ab (Y) (KiY)| G wewk−ó A_© †_‡K Avgiv eyS‡Z cvwi †h Ôe¨vKiYÕ n‡”Q Ôkã ey¨rcv`K I fvlv wbqvgK kv¯¿|Õ e¨vcKfv‡e ejv hvq, e¨vKiY n‡”Q Ôfvlvi D”Q…•Ljv wbeviK, k‡ãi ey¨rcwË I ey¨rcwËMZ A_©wba©viK, c`-mvaK Ges evK¨ iPbv cÖYvwj wba©viK kv¯¿|Õ e¨vKi‡Yi KvR fvlvi Af¨š—ixY k„•Ljv Avwe®‹vi Kiv| fvlvi MVb I e¨env‡ii †¶‡Î cÖ‡Z¨K fvlvi wbR¯^ wKQz wbqgixwZ Av‡Q| Gme wbqgixwZ m¤ú‡K© mg¨K Ávbjvf Ki‡Z n‡j fvlv‡K †f‡O Zvi Dcv`vbmg~‡ni wePvi-we‡k−lY Ges Zv‡`i cvi¯úwiK m¤úK© I †hvMv‡hvM cÖYvwj wbY©q Kiv cÖ‡qvRb| myZivs Ô†h kv‡¯¿i Øviv fvlv‡K we‡k−lY K‡i Gi wewfbœ As‡ki cvi¯úwiK m¤^Ü wbY©q Kiv hvq Zvi bvg e¨vKiY| G ch©v‡q e¨vKiY m¤ú‡K© K‡qKRb L¨vZbvgv fvlvcwʇZi gš—e¨ wb‡P DׄZ n‡jv : W±i mybxwZKzgvi P‡Ævcva¨v‡qi g‡Z, †h we`¨vi Øviv †KvbI fvlv‡K we‡k−lY Kwiqv Zvnvi ¯^i~cwU Av‡jvwPZ nq Ges †mB fvlvi MV‡b I wjL‡b Ges Zvnv‡Z K‡_vcK_‡b ï×-i~‡c Zvnvi cÖ‡qvM Kiv hvq, †mB we`¨v‡K †mB fvlvi e¨vKiY e‡j| fvlv m¤ú‡K© W±i myKzgvi †mb : †h eB‡q fvlvi wePvi I we‡k−lY Av‡Q Zv-B e¨vKiY| gybxi †PŠayix e‡j‡Qb : †h kv‡¯¿ †Kv‡bv fvlvi wewfbœ Dcv`v‡bi cÖK…wZ I ¯^i~‡ci wePvi-we‡k−lY Kiv nq Ges wewfbœ Dcv`v‡bi m¤úK© wbY©q I cÖ‡qvMwewa wek`fv‡e Av‡jvwPZ nq, Zv‡K e¨vKiY e‡j|

evsjv e¨vKiY evsjv fvlv GKwU mg„× fvlv| G fvlvi aŸwbZvwË¡K, i~cZvwË¡K ev MVbMZ wbqgk„•Ljv i‡q‡Q| myZivs †h cy¯—‡K evsjv fvlvi wewfbœ Dcv`v‡bi cÖK…wZ I ¯^i~‡ci wePvi-we‡k−lY Kiv nq Ges wewfbœ Dcv`v‡bi m¤úK© wbY©q I cÖ‡qvMwewa wek`fv‡e Av‡jvwPZ nq, Zv-B evsjv fvlvi e¨vKiY| evsjv e¨vKi‡Yi cÖvgvY¨ msÁv †h kv¯¿ Rvwb‡j ev½vjv fvlv ï×i~‡c wjwL‡Z, cwo‡Z I ewj‡Z cviv hvq, Zvnvi bvg ev½vjv e¨vKiY (Bengali Grammar)| ⎯ W±i gyn¤§` knx`yjvn& †h kv‡¯¿ evsjv fvlvi ¯^i~c I cÖK…wZ mew`K w`‡q Av‡jvPbv K‡i eywS‡q †`Iqv nq, Zv‡K e‡j evsjv fvlvi e¨vKiY ev evsjv e¨vKiY| ⎯ W±i mybxwZKzgvi P‡Ævcva¨vq †h e¨vKiY evsjv fvlvi aŸwb, kã, c`, evK¨ BZ¨vw` we‡k−lY K‡i fvlvi ¯^i~cwU‡K Zz‡j a‡i, Zv‡K evsjv e¨vKiY e‡j| ⎯ †R¨vwZf‚lY PvKx

e¨vKiY

11

2.2 e¨vKiY cv‡Vi cÖ‡qvRbxqZv fvlv‡K we‡k−lY K‡i †`Lvevi †Póv †_‡KB e¨vKi‡Yi D™¢e| j¶Yxq †h Av‡M fvlvi m„wó n‡q‡Q, c‡i fvlv we‡k−lY K‡i e¨vKi‡Yi m„wó n‡q‡Q| fvlvi m‡½ e¨vKi‡Yi m¤úK© IZ‡cÖvZfv‡e RwoZ| fvlv enZv b`xi g‡Zv MwZkxj| wb‡Ri †Lqvj-Lywkg‡Zv Avcb MwZ‡Z fvlv GwM‡q P‡j| d‡j wfbœ wfbœ mg‡q fvlvi g‡a¨ bvbv cwieZ©b mvwaZ nq| e¨vKi‡Yi KvR n‡”Q fvlvi MwZwewa‡K j¶ Kiv Ges fvlv‡K we‡k−lY Kiv| fvlvi †gŠwjK Dcv`vb aŸwb, kã, evK¨⎯G¸‡jvi Af¨š—ixY k„•Ljv Avwe®‹v‡ii Rb¨ e¨vKi‡Yi m„wó n‡q‡Q| e¨vKiY‡K fvlvi msweavb ejv nq| e¨vKiY fvlv‡K wbqš¿Y K‡i bv, Zey e¨vKiY cv‡Vi cÖ‡qvRbxqZv‡K A¯^xKvi Kiv hvq bv| e¨vKiY cvV G Rb¨ cÖ‡qvRb †h⎯ 1. e¨vKiY fvlv‡K we‡k−lY K‡i Zvi ¯^i~c I ˆewkó¨‡K wbi~cY K‡i| 2. e¨vKiY cvV K‡i fvlvi wewfbœ Dcv`v‡bi MVb cÖK…wZ I †m m‡ei myôz e¨envi-wewa m¤ú‡K© Rvbv hvq| 3. e¨vKiY cvV K‡i †jLvq I K_vq fvlv cÖ‡qv‡M ï×Zv i¶v Kiv hvq| 4. e¨vKiY cv‡V fvlvi †mŠ›`h© Abyaveb ¶gZv e„w× cvq| 5. e¨vKiY mvwn‡Z¨i im Av¯^v`‡b mnvqK f‚wgKv cvjb K‡i| 6. e¨vKiY cv‡Vi gva¨‡g Q›`-Aj¼vi wel‡q Ávb jvf Kiv hvq| 7. fvlvi cwieZ©‡bi aviv, wbqg-k„•Ljvi eY©bv I we‡k−lY e¨vKiY cv‡V AewnZ nIqv hvq| myZivs fvlvi Af¨š—ixY k„•Ljv m¤ú‡K© Ávb jvf Ges fvlvi ï× cÖ‡qv‡Mi †¶‡Î e¨vKiY cv‡Vi cÖ‡qvRbxqZv Ab¯^xKvh©|

evsjv e¨vKi‡Yi Av‡jvP¨ welq aŸwb, kã, evK¨, A_© ⎯fvlvi PviwU †gŠwjK Dcv`vb| GB Dcv`vb¸‡jvi Ici wfwË K‡iB me fvlvi e¨vKi‡Y wbgœwjwLZ PviwU wel‡q Av‡jvPbv Kiv nq| evsjv e¨vKiYI Gi e¨wZµg bq| 1. aŸwbZË¡ (Phonetics) 2. kãZË¡ ev iƒcZË¡ (Morphology) 3. evK¨ZË¡ ev c`µg (Syntax) 4. A_©ZË¡ (Semantics)|

Abykxjbx
1| e¨vKiY Kv‡K e‡j? e¨vKiY cv‡Vi cÖ‡qvRbxqZv Av‡jvPbv Ki| 2| evsjv e¨vKiY Kv‡K e‡j? 3| evsjv e¨vKi‡Yi Av‡jvP¨ welq¸‡jv D‡j−L Ki|

12

evsjv e¨vKiY I wbwg©wZ

3. aŸwb I eY© aŸwb fvlvi ¶z`ªZg GKK aŸwb| †Kv‡bv fvlvi D”PvwiZ kã‡K m~²fv‡e we‡k−lY Ki‡j Zvi †h AwefvR¨ ¶z`ªZg Ask cvIqv hvq, Zv-B aŸwb| gvby‡li evM&h‡š¿i mnvqZvq D”PvwiZ aŸwb †_‡KB fvlvi m„wó| e¯‘Z fvlv‡K we‡k−lY Ki‡j PviwU †gŠwjK Dcv`vb cvIqv hvq| GB Dcv`vb¸‡jv n‡jv⎯aŸwb, kã, evK¨ I A_©| gvbyl Zvi g‡bi fve cÖKvk Kivi Rb¨ ÔK_vÕ e‡j| gvby‡li ÔK_vÕ n‡jv A_©hy³ wKQy aŸwb| e¨vKiY kv‡¯¿ gvby‡li KÉwbtm„Z kã ev AvIqvR‡KB aŸwb ejv nq| e¯‘Z A_©‡evaK aŸwbmg~nB gvby‡li wewfbœ fvlvi evM&aŸwb| aŸwbB fvlvi g~j wfwË| W±i mybxwZKzgvi P‡Ævcva¨v‡qi g‡Z, Ô†Kv‡bv fvlvi D”PvwiZ kã‡K we‡k−lY Ki‡j Avgiv KZK¸‡jv aŸwb cvB|Õ ejv evûj¨, cÖwZwU gvbefvlvq _v‡K GK¸”Q aŸwb| Gi msL¨v mvaviYZ ev‡ivwUi †ewk I lvUwUi Kg| GB gywó‡gq msL¨K aŸwbi wewfbœ web¨v‡m M‡o I‡V fvlvi wecyj cwigvY kã| cÖwZwU fvlvi wbR¯^ aŸwbivwki Zvrch©c~Y© ˆewkó¨ i‡q‡Q| A_©vr cÖ‡Z¨K fvlvi aŸwbivwk ci¯ú‡ii m‡½ mnve¯’vb K‡i myk„•Lj aŸwbZvwË¡K wbqg-Kvbyb †g‡b P‡j| g~jZ cÖwZwU fvlvB GKwU mywbw`©ó aŸwbk„•Ljv ev aŸwb-msMV‡bi Aaxb| aŸwb wbM©Z nq gyL w`‡q| aŸwb Drcv`‡b gyL, bvwmKv, KÉ cÖf…wZ evK&-cÖZ¨½ e¨eüZ n‡jI aŸwb Drcv`‡bi g~j Drm n‡jv dzmdzm| dzmdz‡mi mvnv‡h¨ Avgiv k¦vm MÖnY I Z¨vM Kwi| dzmdzm †_‡K evZvm †ewi‡q Avmvi mgq wewfbœ evK&-cÖZ¨‡½i ms¯ú‡k© Av‡m| dzmdzm †_‡K evZvm ¯^ih‡š¿i ga¨ w`‡q †ewi‡q Avmvi mgq gy‡Li wewfbœ RvqMvq Nlv Lvq| GB Nl©‡Yi d‡j gy‡L bvbv ai‡bi aŸwbi m„wó nq| j¶Yxq aŸwb Drcv`‡b dzmdzm GKwU gyL¨ Drcv`K hš¿ n‡jI dzmdzm †_‡K aŸwb Drcbœ nq bv⎯dzmdzm †_‡K †Kej wbM©Z nq evZvm| Avi GB evZv‡mi m‡½ bvbv evK&-cÖZ¨‡½i msN‡l© aŸwbi m„wó nq| A_©vr dzmdzm wbM©Z evZvm ¯^ih‡š¿i ga¨ w`‡q gyLMnŸ‡i cÖ‡e‡ki ci wewfbœ evK&-cÖZ¨‡½i ms¯ú‡k© AvNvZ jvMvi `i“b aŸwb MwVZ ev ˆZwi nq| aŸwb MV‡b wewfbœ evK&cÖZ¨‡½i f‚wgKv AZ¨š— ¸i“Z¡c~Y©|

3.1 aŸwbi †kªwYwefvM
ÔaŸwbÕi mvaviY A_© †h‡Kv‡bv ai‡bi ÔAvIqvRÕ| wKš—z e¨vKiY I fvlvZ‡Ë¡i cvwifvwlK A‡_© gvby‡li evM&h‡š¿i mvnv‡h¨ ˆZwi AvIqvR‡K aŸwb e‡j| aŸwb `yB cÖKvi| †hgb : K. ¯^iaŸwb I L. e¨ÄbaŸwb|

eY©
†Kv‡bv fvlvi aŸwb¸‡jv‡K wj‡L cÖKvk Kivi Rb¨ †h cÖZxK ev wPý e¨eüZ nq, Zv‡K eY© e‡j| A, Av, K, L cÖf…wZ evsjv fvlvi G‡KKwU aŸwb-cÖZxK ev eY©|

eY©gvjv
†Kv‡bv fvlvi eY©mgwói mywbw`©ó mvRv‡bv µg‡K eY©gvjv e‡j| aŸwb †hgb `yB cÖKvi⎯¯^iaŸwb I e¨ÄbaŸwb; †Zgwb G‡`i wjwLZ cÖZxKI `yB cÖKvi| h_v : ¯^ieY© I e¨ÄbeY©|

aŸwb I eY©

13

¯^iaŸwb I ¯^ieY©
†hme aŸwb Ab¨ aŸwbi mvnvh¨ Qvov wb‡R wb‡R c~Y© I ¯úói~‡c D”PvwiZ nq, Zv‡K ¯^iaŸwb e‡j| Avi GB ¯^iaŸwbi cÖZxK ev wjwLZ i~cB n‡”Q ¯^ieY©| †hgb : A, Av, B, C, D, E, F, G, H, I, J| ¯^ie‡Y©i msL¨v †gvU 11wU|

e¨ÄbaŸwb I e¨ÄbeY©
†hme aŸwb ¯^iaŸwbi mvnvh¨ Qvov wb‡R wb‡R c~Y© ev ¯úói~‡c D”PvwiZ n‡Z cv‡i bv, Zv‡K e¨ÄbaŸwb e‡j| Avi GB e¨ÄbaŸwbi wjwLZ i~cB n‡”Q e¨ÄbeY©| †hgb : K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, _, `, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, X, q, r, s, t, u| e¨Äbe‡Y©i msL¨v †gvU 39wU|

¯^iaŸwbi †kªwYwefvM I D”PviY ˆewkó¨
D”Pvi‡Yi mg‡qi ZviZg¨ Abymv‡i ¯^iaŸwb¸‡jv‡K `ywU fv‡M wef³ Kiv nq| †hgb: K. nª¯^¯^i I L. `xN©¯^i| K. n«¯¯i : †hme ¯^iaŸwb D”Pvi‡Y Kg mgq jv‡M, Zv‡`i‡K n«m¦¯^i e‡j| A, B, D, F n«m¦¯^i| ^ ^ L. `xN©¯i : †hme ¯^iaŸwb D”Pvi‡Y A‡c¶vK…Z †ewk mgq jv‡M, Zv‡`i‡K `xN©¯^i e‡j| Av, C, ^ E, G, H, I, J `xN©¯^i|

¯^iaŸwbi D”PviY ¯’vb I ˆewkó¨ aŸwb A, Av B, C D, E F G, H I, J KÉ Zvjy †VuvU ev Iô g~a©v KÉ I Zvjy KÉ I Iô D”PviY ¯’vb D”PviY ¯’vb Abymv‡i bvg KɨaŸwb Zvje¨ aŸwb Iô¨ aŸwb g~a©b¨ aŸwb KÉZvje¨ aŸwb K‡Évô¨ aŸwb

e¨ÄbaŸwbi †kªwYwefvM I D”PviY ˆewkó¨
D”PviY ˆewkó¨ Abymv‡i e¨ÄbaŸwb cÖavbZ wZb fv‡M wef³| h_v : K. ¯úk©aŸwb, L. Aš—t¯’ aŸwb Ges M. D®§aŸwb|

14

evsjv e¨vKiY I wbwg©wZ

K. ¯úk©aŸwb †hme e¨ÄbaŸwbi D”Pvi‡Y wRf gy‡Li †fZ‡i KÉ, Zvjy, g~a©v, `š—, `š—g~j cÖf…wZ †Kv‡bv bv †Kv‡bv ¯’vb ¯úk© K‡i D”PvwiZ nq, Zv‡`i‡K ¯úk©aŸwb e‡j| K †_‡K g ch©š— GB cuwPkwU aŸwb‡K ¯úk©aŸwb ejv nq| GB ¯úk©aŸwb cuvP iK‡gi n‡Z cv‡i| †hgb : Kɨe¨Äb, Zvje¨e¨Äb, g~a©b¨e¨Äb, `š—¨e¨Äb I Iô¨e¨Äb| L. Aš—t¯’ aŸwb h, q, i, j Ges Aš—t¯’-e GB aŸwb¸‡jvi Ae¯’vb ¯úk©aŸwb I D®§aŸwbi gvSvgvwS e‡j G‡`i‡K Aš— t¯’ aŸwb e‡j| M. D®§aŸwb †hme e¨ÄbaŸwbi D”Pvi‡Y aŸwb¸‡jvi †ik †U‡b ivLv hvq, Zv‡`i‡K D®§aŸwb e‡j| k, l, m, n D®§aŸwb| k, l, m ⎯GB wZbwU aŸwb‡K wkm aŸwbI ejv nq| KviY wkm †`Iqvi m‡½ G aŸwb¸‡jvi mv`„k¨ i‡q‡Q| D”PviY ¯’vb Abymv‡i ¯úk©aŸwbi cuvPwU wefvM i‡q‡Q| g~jZ KÉ, Zvjy, g~a©v, `uvZ I †VuvU ⎯ GB cuvPwU D”PviY ¯’v‡bi Rb¨ ¯úk©aŸwb¸‡jv‡K cuvPwU †kªwY‡Z fvM Kiv n‡q‡Q| GB wefvM¸‡jv‡K eM© e‡j| cÖ_g aŸwbi bvg Abymv‡i e‡M©i bvg wb‡`©k Kiv nq| †hgb : K eM© P eM© U eM© Z eM© c eM© KLMNO PQRST UVWXY Z_`ab cdefg

e¨ÄbaŸwbi D”PviY ¯’vb I ˆewkó¨ aŸwb K, L, M, N, O, n P, Q, R, S, T, q, k U, V, W, X, Y, i, o, p, l Z, _, `, a, b, j, m c, d, e, f, g Zvjy g~a©v `uvZ ev `š— †VuvU ev Iô D”PviY ¯’vb KÉ ev wRnŸvg~j D”PviY ¯’vb Abymv‡i bvg Kɨ ev wRnŸvg~jxq aŸwb Zvje¨ aŸwb g~a©b¨ aŸwb `š—¨ aŸwb Iô¨ aŸwb

aŸwb I eY©

15

KɨaŸwb
†hme aŸwbi D”PviY KÉbvwji DcwifvM ev wRnŸvg~j, Zv‡`i‡K KɨaŸwb e‡j| A, Av, K, L, M, N, O, n KɨaŸwb|

Zvje¨ aŸwb
†hme aŸwbi D”PviY¯’vb Zvjy, Zv‡`i‡K Zvje¨ aŸwb e‡j| B, C, P, Q, R, S, T, q, k Zvje¨ aŸwb|

g~a©b¨ aŸwb
†hme aŸwbi D”PviY¯’vb g~a©v ev Zvjyi AMÖfvM, Zv‡`i‡K g~a©b¨ aŸwb e‡j| F, U, V, W, X, Y, i, o, p, l g~a©b¨ aŸwb |

`š—¨aŸwb
†hme aŸwbi D”PviY¯’vb `š—g~j, Zv‡`i‡K `š—¨aŸwb e‡j| Z, _, `, a, b, j, m `š—¨aŸwb |

Iô¨aŸwb
†hme aŸwbi D”PviY¯’vb Iô, Zv‡`i‡K Iô¨aŸwb e‡j| D, E, c, d, e, f, g Iô¨aŸwb |

KɨZvje¨ aŸwb
†hme aŸwbi D”PviY¯’vb KÉ Ges Zvjy DfqB, Zv‡`i‡K KɨZvje¨ aŸwb e‡j| G, H KɨZvje¨ aŸwb|

K‡Évô¨ aŸwb
†hme aŸwbi D”PviY¯’vb KÉ I Iô, Zv‡`i‡K K‡Évô¨ aŸwb e‡j| I, J K‡Évô¨ aŸwb|

`‡š—Šô¨ aŸwb
†hme aŸwbi D”PviY¯’vb `š— Ges Iô, Zv‡`i‡K `‡š—Šô¨ aŸwb e‡j| Aš—t¯’-e `‡š—Šô¨ aŸwb|

¯ú„ó aŸwb
K-eM© Ges c-e‡M©i cÖ_g, wØZxq, Z…Zxq I PZz_© aŸwb¸‡jvi D”PviYKv‡j gyLwee‡ii we‡kl ¯’vb ¯ú„ó nq e‡j G¸‡jv‡K ¯ú„ó aŸwb e‡j|

N„ó aŸwb
P, Q, R, S ⎯GB aŸwb¸‡jvi D”PviYKv‡j wRnŸv ev Zvjyi ¯ú‡k©i ci ciB Df‡qi g‡a¨ evqyi Nl©YRvZ aŸwb m„wó nq e‡j, G¸‡jv‡K N„óaŸwb e‡j|

bvwmK¨ ev AbybvwmK aŸwb
O, T, Y, g ⎯G¸‡jvi D”PviYKv‡j gyLwee‡ii evZvm bvK w`‡q †ei nq e‡j G¸‡jv‡K bvwmK¨ ev AbybvwmK aŸwb e‡j|

A‡Nvl aŸwb cÖ‡Z¨K e‡M©i cÖ_g `ywU aŸwb Ges k, l, m G¸‡jvi D”PviYKv‡j AvNvZRwbZ †Nvl ev kã m„wó nq bv e‡j, G¸‡jv‡K A‡Nvl aŸwb e‡j| G‡`i‡K k¦vmaŸwbI ejv nq|

16

evsjv e¨vKiY I wbwg©wZ

†Nvl aŸwb e‡M©i wØZxq, Z…Zxq, PZz_© I cÂg aŸwb Ges n G¸‡jvi D”PviYKv‡j AvNvZRwbZ †Nvl ev kã m„wó nq e‡j, G¸‡jv‡K †Nvl aŸwb e‡j| †Nvl aŸwb‡K bv`aŸwbI ejv nq|

AícÖvY aŸwb cÖ‡Z¨K e‡M©i cÖ_g, Z…Zxq I cÂg aŸwbi D”PviYKv‡j evZv‡mi Pv‡ci ¯^íZv _v‡K e‡j, G‡`i‡K AícÖvY aŸwb e‡j| †hgb : K, M, O; P, R, T BZ¨vw`|

gnvcÖvY aŸwb cÖ‡Z¨K e‡M©i wØZxq I PZz_© aŸwbi D”PviYKv‡j evZv‡mi Pv‡ci AvwaK¨ _v‡K e‡j, G‡`i‡K gnvcÖvY aŸwb e‡j| †hgb : L, N; Q, S BZ¨vw`| aŸwb-cÖK…wZ A‡Nvl †Nvl KPUZc MRW`eOTYbg AícÖvY aŸwb gnvcÖvY aŸwb LQV_d NSXaf

civkªqx aŸwb
ÔsÕ ( Aby¯^vi) Ges ÔtÕ (wemM©) GB aŸwb `ywU ¯^Zš¿fv‡e D”PvwiZ n‡Z cv‡i bv e‡j G‡`i‡K civkªqx aŸwb e‡j| G‡`i‡K A‡hvMen aŸwbI e‡j|

3.2 A¨v aŸwbi D”PviY
D”PviY GKwU evPwbK cÖwµqv| fvlvq D”Pvi‡Yi ï×Zv iw¶Z bv n‡j g~j D‡Ïk¨ e¨vnZ nq| g‡bi fve cÖKv‡ki D‡Ï‡k¨ D”PvwiZ A_©‡evaK aŸwb mgwóB fvlv| `yfv‡e aŸwb ev fvlv‡K cÖKvk Kiv hvq| GK. gyL w`‡q D”PviY K‡i; `yB. wj‡L| g‡bi fve wj‡L wKsev D”PviY K‡i †hfv‡eB cÖKvk Kiv †nvK bv †Kb, mswk−ó †¶‡Î h_v_© evbvb I weï× D”PviY Acwinvh©| ï× D”PviY mwVK g‡bvfve cÖKv‡ki mnvqK| c¶vš—‡i, Aï× D”PviY k‡ãi A_©weåvwš— I weK…wZ NUvq| ZvB ï× D”Pvi‡Yi ¸iyZ¡ Acwimxg| ï× D”Pvi‡Yi †¶‡Î cÖwgZ K_¨ fvlvi evnbfw½i AbymiY cÖ‡qvRb| GQvov ¯^iaŸwb I e¨ÄbaŸwbi h_vh_ D”PviY m¤ú‡K© mwVK aviYv _vKv Avek¨K| G QvovI fvlv e¨env‡i AvÂwjKZv cwinvi Kiv Ges D”PviYm~Î m¤ú‡K© mg¨K aviYv AR©b Kiv `iKvi| g‡b ivLv cÖ‡qvRb cÖwZwU aŸwb-cÖZx‡Ki wbR¯^ D”PviY I aŸwbMv¤¢xh© i‡q‡Q| D‡j−L GKvwaK aŸwb wg‡j hLb kã ˆZwi nq, ZLb aŸwb-cÖZx‡Ki D”PviY †Kv_vI AcwiewZ©Z _v‡K Avevi †Kv_vI cwiewZ©Z ev weK…Z n‡q hvq| wb‡P A¨v aŸwbi D”PviYixwZ D‡j−L Kiv n‡jv| evsjv eY©gvjvq eZ©gv‡b e¨eüZ e‡Y©i msL¨v 11wU| G¸‡jv n‡jv : A, Av, B, C, D, E, F, G, H, I, J| cÖwgZ evsjv D”Pvi‡Y †gŠwjK ¯^iaŸwbi msL¨v 7wU| G¸‡jv n‡jv : B, G, A¨v, Av, A, I, D| evsjv gy‡Li fvlvq ¯^iaŸwb A¨-e¨vcKfv‡e e¨eüZ n‡jI GB eY©wUi Rb¨ c„_K †Kv‡bv eY©wPý evsjv eY©gvjvq †bB|

aŸwb I eY©

17

A¨v aŸwbi D”PviY c~‡e©B D‡j−L Kiv n‡q‡Q †h ÔA¨vÕ aŸwbi †Kv‡bv ¯^Zš¿ aŸwb-wPý †bB| K‡qKwU †¶‡Î Av aŸwbi D”PviY A¨v nq| 1. k‡ãi ïiy‡Z hy³ e¨Ä‡bi Á Av-Kvi _vK‡j : ÁvZ [Mu¨v‡Zv] Ávb [Mu¨vb/M¨vb] Ávcb [Mu¨vcb]| 2. h-djv hy³ e¨Ä‡bi m‡½ Av-Kvi ev Av-aŸwbi D”PviY cÖvq †¶‡ÎB A¨v nq| †hgb : L¨vwZ [L¨vwZ] Z¨vM [Z¨vM&] e¨vcvi [e¨vcvi] e¨vKiY [e¨vK‡ivb&]

j¶Yxq k‡ãi g‡a¨ Áv _vK‡j AvÑaŸwb KL‡bv A¨v, KL‡bv Av D”PvwiZ nq| †hgb : weÁvb [weM&Mu¨vb/weM&Muvb&]

Abykxjbx
1| aŸwb Kv‡K e‡j? aŸwb Kq cÖKvi I Kx Kx? D`vniYmn Av‡jvPbv Ki| 2| eY© Kv‡K e‡j? eY© Kq cÖKvi I Kx Kx? D`vniYmn Av‡jvPbv Ki| 3| ¯^iaŸwbi D”PviY¯’vb I ˆewkó¨ D‡j−L Ki| 4| e¨ÄbaŸwbi D”PviY¯’vb I ˆewkó¨mg~n D‡j−L Ki| 5| D`vniYmn msÁv †jL : ¯úk©aŸwb, N„ó aŸwb, bvwmK¨ aŸwb, A‡Nvl aŸwb, †NvlaŸwb, AícÖvY aŸwb, gnvcÖvY aŸwb, civkªqx aŸwb|

Kg©-Abykxjb wb‡Pi e¨ÄbaŸwbi D”PviY ¯’vb I ˆewkó¨ D‡j−L Ki| aŸwb K, L, M, N, O, n P, Q, R, S, T, q, k U, V, W, X, Y, i, o, p, l Z, _, `, a, b, j, m c, d, e, f, g D”PviY ¯’vb D”PviY ¯’vb Abymv‡i bvg

18

evsjv e¨vKiY I wbwg©wZ

4. mwÜ wb‡Pi evK¨wU j¶ Ki⎯ MÖvg-evsjvq GLb Pvwl‡`i N‡i N‡i bevbœ| Dc‡ii ev‡K¨i ÔbevbœÕ kãwU g‡bv‡hvM w`‡q j¶ Ki‡j †`Lv hv‡e †h cvkvcvwk Aew¯’Z ÔbeÕ Ges ÔAbœÕ G `ywU kã `ªyZ D”Pvi‡Yi d‡j ˆZwi n‡q‡Q ÔbevbœÕ kãwU| G‡¶‡Î ÔbeÕ k‡ãi †k‡l wbwnZ ÔAÕ aŸwb Ges ÔAbœÕ k‡ãi cÖ_‡g Aew¯’Z ÔAÕ aŸwb Df‡q wg‡j ÔAvÕ aŸwb n‡q‡Q| †hgb : be + Abœ = bevbœ| (A + A = Av) j¶Yxq †h Avgiv hLb K_v ewj, ZLb A‡bK †¶‡Î `ª“Z D”Pvi‡Yi d‡j cvkvcvwk Aew¯’Z `ywU k‡ãi aŸwb wg‡j GK n‡q hvq, wKsev GKwU aŸwbi cÖfv‡e Ab¨ aŸwb e`‡j hvq ev †jvc cvq| `ªZ D”Pvi‡Yi y d‡j cvkvcvwk Aew¯’Z aŸwbi GB wgjb, cwieZ©b ev we‡jvcB mwÜ bv‡g cwiwPZ| e¯‘Z, ÔmwÜÕ k‡ãi A_© wgjb| GwU aŸwb cwieZ©‡bi GKwU we‡kl cÖwµqv⎯aŸwbi m‡½ aŸwbi wgjbRvZ cÖwµqv| mwÜ ev aŸwbi wgjb bvbvfv‡e n‡Z cv‡i| †hgb : 1. `ywU aŸwbi AvswkK ev c~Y©wgjb| †hgb : kZ + AwaK = kZvwaK [A + A = Av] 2. c~e©aŸwb ev ciaŸwb †jvc| †hgb : wbt + Pq = wbðq [t + P = ð] msÁv : cvkvcvwk Aew¯’Z `ywU aŸwbi wgjb‡K mwÜ e‡j| A_ev, ci¯úi mwbœwnZ `ywU aŸwbi wgjb, cwieZ©b ev wejyw߇K mwÜ e‡j| ⎯ W±i gyn¤§` Gbvgyjn‡Ki g‡Z, GKvwaK aŸwbi wgjb, †jvc ev cwieZ©‡bi bvg mwÜ|

mwÜi cÖ‡qvRbxqZv cvkvcvwk Aew¯’Z `ywU aŸwb `ª“Z D”Pvi‡Yi mgq mwÜi d‡j D”Pvi‡Y ¯^v”Q›`¨ Av‡m Ges D”PviY mnRZi nq| mwÜ fvlv‡K msw¶ß K‡i| †hgb : ÔbeÕ ÔAbœÕ D”Pvi‡Y †h mgq cÖ‡qvRb⎯ ÔbevbœÕ D”Pvi‡Y Zvi †P‡q Kg mgq jv‡M| GQvov ÔbeÕ ÔAbœÕ ej‡Z †h ai‡bi D”PviY-kªg cÖ‡qvRb, ÔbevbœÕ Zvi †P‡q mn‡R D”PvwiZ nq| †Kej ZvB bq⎯ Avjv`vfv‡e ÔbeÕ ÔAbœÕ D”Pvi‡Yi †P‡q GKm‡½ ÔbevbœÕ D”PviY A‡bK †ewk kÖ“wZgayi| A_©vr mwÜ fvlvi aŸwbMZ gvayh©I m¤úv`b K‡i| mwÜi d‡j bZzb bZzb kãI ˆZwi nq| ï× evbvb wjL‡ZI mwÜ mnvqZv K‡i| myZivs Dwj−wLZ w`K¸‡jv we‡ePbvq evsjv fvlvq mwÜi cÖ‡qvRbxqZv Acwimxg|

mwÜi cÖKvi‡f` mwÜ `yB cÖKvi| h_v : 1. ¯^imwÜ I 2. e¨ÄbmwÜ|

mwÜ 1. ¯^imwÜ : ¯^iaŸwbi m‡½ ¯^iaŸwbi wgj‡b †h mwÜ nq, Zv‡K ¯^imwÜ e‡j| †hgb : be + Abœ = bevbœ wng + Avjq = wngvjq A + A = Av A + Av = Av

19

2. e¨ÄbmwÜ : ¯^iaŸwbi m‡½ e¨ÄbaŸwbi, e¨ÄbaŸwbi m‡½ ¯^iaŸwbi wKsev e¨ÄbaŸwbi m‡½ e¨ÄbaŸwbi wgj‡b †h mwÜ nq, Zv‡K e¨ÄbmwÜ e‡j| †hgb : Dr + PviY = D”PviY mr + Rb = m¾b (Z& + P = ”P) (Z& + R = ¾)

wemM©mwÜ : wemM©mwÜ e‡j e¨ÄbmwÜi GKwU cÖKvi‡f` Av‡Q| wemM© (t) n‡”Q ÔiÕ Ges ÔmÕ-Gi msw¶ß i~c| wem‡M©i m‡½ ¯^iaŸwb ev e¨ÄbaŸwbi wgjb‡K wemM©mwÜ e‡j| †hgb : Avwet + Kvi = Avwe®‹vi [t + K = ®‹]

KL‡bv KL‡bv wemM©mw܇K wfbœ GKwU †kªwY‡Z †d‡j mw܇K wZb cÖKvi ejv nq| †h‡nZz ÔtÕ (wemM©) e¨ÄbaŸwbi Aš—M©Z, †m‡nZz wemM©mwÜ e¨ÄbmwÜiB Aš—fz©³| cÖm½Z D‡j−L Kiv cÖ‡qvRb †h evsjv fvlvq bvbv Rv‡Zi kã i‡q‡Q| k‡ãi Drm wePv‡i mw܇K Avevi `yfv‡M fvM Kiv n‡q‡Q : K. Zrmg ev ms¯‹…ZvMZ mwÜ; L. LuvwU evsjv mwÜ| K. Zrmg ev ms¯‹…ZvMZ mwÜ : evsjv fvlvq e¨eüZ Zrmg k‡ãi mwÜ n‡j Zv‡K Zrmg ev ms¯‹…ZvMZ mwÜ e‡j| Zrmg mwÜ ¯^i I e¨Äb †f‡` `yB cÖKvi : K. Zrmg ev ms¯‹…ZvMZ ¯^imwÜ L. Zrmg ev ms¯‹…ZvMZ e¨ÄbmwÜ| L. LuvwU evsjv mwÜ : LuvwU ev PwjZ evsjv kã cvkvcvwk D”Pvi‡Yi mgq †h mwÜ nq, Zv‡K LuvwU evsjv mwÜ ejv nq| Z‡e LuvwU evsjv mwÜi wbqg ms¯‹…Z mwÜi m‡½ †g‡j bv| wKQz wKQz †¶‡Î Zrmg mwÜi wbqg cÖ‡qvM K‡i wfbœ wbq‡g G mwÜ Kiv nq| †hgb : cuvP + †mi = cuvP‡mi, KuvPv + Kjv = KuvPKjv| g~jZ G cÖKv‡ii mwÜB LuvwU evsjv mwÜ| LuvwU evsjv mwÜ `yB cÖKvi| h_v : 1. LuvwU evsjv ¯^imwÜ; 2. LuvwU evsjv e¨ÄbmwÜ|

20 wb‡P QKvKv‡i mwÜi wefvRb †`Lv‡bv n‡jv : mwÜ
¯^i¯^wÜ

evsjv e¨vKiY I wbwg©wZ

e¨ÄbmwÜ

Zrmg ev ms¯‹…ZvMZ ¯^imwÜ

LuvwU evsjv ¯^imwÜ Zrmg ev ms¯‹…ZvMZ e¨ÄbmwÜ LuvwU evsjv e¨ÄbmwÜ

4.1 e¨ÄbmwÜ : wbqg I D`vniY wb‡P †Kej Zrmg ev ms¯‹…ZvMZ e¨ÄbmwÜi D‡j−L‡hvM¨ KqwU m~Î m¤ú‡K© Av‡jvPbv Kiv n‡jv :

Zrmg ev ms¯‹…ZvMZ e¨ÄbmwÜ e¨Ä‡b-¯^‡i mwÜ wbqg-1 : e‡M©i cÖ_g e¨Ä‡bi (K& / P& / U& / Z& / c) c‡i ¯^iawb _vK‡j e‡M©i cÖ_g e¨Äb ¯’‡j Z…Zxq e¨Äb (M& / R& / W& / `& / e& ) nq| †hgb : K& + ¯^iaŸwb = M& + ¯^iaŸwb : w`K& + Aš— = w`Mš— evK& + A_© = evM_© cÖvK& + D³ = cÖv¸³ evK& + Ck = evMxk P& + ¯^iaŸwb = R& + ¯^iaŸwb : wYP& + Aš— = wYRš— AP& + Aš—v = ARš—v U& + ¯^iaŸwb = W& (o) + ¯^iaŸwb : lU& + Avbb = lovbb lU& + avZz = loavZz Z& + ¯^iaŸwb = `& + ¯^iaŸwb : Zr + Aš— = Z`š— K…r + Aš— = K…`š— mr + B”Qv = mw`”Qv c& + ¯^iaŸwb = e& + ¯^iaŸwb : myc& + Aš— = myeš—

mwÜ

21

¯^‡iÑe¨Ä‡b mwÜ wbqg-2 : ¯^iaŸwbi c‡i Q& _vK‡j Q& ¯’v‡b ”Q nq| †hgb : A + Q& = A”Q& GK + QÎ = GK”QÎ A½+†Q` = A½‡”Q` gyL + Qwe = gy”Qwe Av + Q& = Av”Q& Av + Qbœ = Av”Qbœ Av + Qv`b = Av”Qv`b B + Q& = B”Q& cwi + Q` = cwi”Q` cwi + Qbœ = cwi”Qbœ ¯^ + Q›` = ¯^”Q›` cÖ + Q` = cÖ”Q` e„¶+Qvqv = e„¶”Qvqv K_v + Q‡j = K_v”Q‡j cix¶v + Q‡j = cix¶v”Q‡j cÖwZ + Qwe = cÖwZ”Qwe

e¨Ä‡b-e¨Ä‡b mwÜ wbqg-3 : Z& [r] wKsev `&-Gi c‡i P& wKsev Q& _vK‡j Z& ev `& ¯’v‡b P& nq| †hgb : Z& + P& = ”P `& + P& = ”P Z& + Q& = ”Q `& + Q = ”Q Dr + PviY = D”PviY wec`& + wPš—v = wecw”Pš—v Dr + †Q` = D‡”Q` Z`& + Qwe = Z”Qwe Pjr + wPÎ = Pjw”PÎ Z`& + wPÎ = Zw”PÎ Pjr + Qwe = Pj”Qwe D`& + †Q` = D‡”Q`

wbqg-4 : Z& [ r ] wKsev `& -Gi c‡i R& wKsev S& _vK‡j mw܇Z `y‡q wg‡j ¾ ev À nq| †hgb : Z& + R& = ¾ Dr + Rxeb = D¾xeb mr + Rb = m¾b Abyi~c : D¾xweZ, hve¾xeb, K¾j, RM¾xeb| `& + R& = ¾ wec`& + RbK = wec¾bK Z`& + RvZxq = Z¾vZxq Z& + S& = À Kzr + SwUKv = KzÀwUKv Dr + R¡j = D¾¡j Zr + Rb¨ = Z¾b¨

wbqg-6 : Z& [r] wKsev `& -Gi c‡i W& wKsev X& _vK‡j Z& ev `& ¯’v‡b W& nq| †hgb : Z& + W& = Ç `& + X = W&X Dr + Wxb = DÇxb GZ`& + X°v = GZW&X°v Dr + Wxqgvb = DÇxqgvb

22 wbqg-7 : Z& [r] wKsev `& -Gi c‡i b& _vK‡j mw܇Z `y‡q wg‡j bœ nq| †hgb : Z& + b& = bœ Dr + bZ = DbœZ

evsjv e¨vKiY I wbwg©wZ

Dr + bqb = Dbœqb

wbqg-8 : Z& [r] wKsev `-Gi c‡i g& _vK‡j mw܇Z Z& ev `-Gi ¯’v‡b b& nq| †hgb : Z& + g = b¥ `& + g = b¥ g„r + gq = g„b¥q Z`& + g‡a¨ = Zb¥‡a¨ Clr + gvÎ = Clb¥vÎ

wbqgÑ9 : Z& [r] wKsev `&-Gi c‡i j& _vK‡j mw܇Z `y‡q wg‡j j− nq| †hgb : Z& + j& = j− `& + j& = j− Dr + jvm = Dj−vm Z`& + wjwLZ = Zwj−wLZ Dr + †jL = D‡j−L m¤ú`& + jvf = m¤új−vf

wbqg-10 : Z& [r] wKsev `& -Gi c‡i k& _vK‡j Z& I `& ¯’v‡b P& Ges k& ¯’v‡b Q& nq Ges `y‡q wg‡j ”Q& nq| †hgb : Z& + k& = ”Q Dr + k¦vm = D”Q¡vm Dr + k„•Lj = D”Q…•Lj Dr + kj = D”Qj

wbqg-11 : Z& [r] wKsev `& -Gi c‡i n& _vK‡j Z& I `& ¯’v‡b `& nq Ges n& ¯’v‡b a nq Ges `y‡q wg‡j × (`& + a) nq| †hgb : Z& + n = `& + a& = × Dr + nvi = D×vi `& + n = × Z`& + wnZ = Zw×Z Dr + nZ = D×Z Dr + üZ = DׄZ c` + nwZ = c×wZ

wbqg-12 : b& wKsev g& c‡i _vK‡j e‡M©i cÖ_g aŸwb mw܇Z cÂg aŸwb‡Z cwiYZ nq| †hgb : K& > O& U& > b& Z& > b& w`K& + wbY©q = w`O&wbY©q lU& + gvm = lb¥vm Dr + bqb = Dbœqb wPr + gq = wPb¥q g„r + gq = g„b¥q evK + gq = ev•gq

wbqgÑ13 : Av‡M g& Ges c‡i K& / L& / M& / N& -Gi †h †Kv‡bvwU _vK‡j mw܇Z g& ¯’v‡b Aby¯^vi (s) ev D‡qv (O) nq| †hgb : g& + K& = s K& /O& K Ajg& + Kvi = AjsKvi/ Aj¼vi mg& + Kjb = msKjb/ m¼jb g& + M& = sM /½ g& + N& = sN/ •N mg& + MZ = msMZ/ m½Z mg& + N = msN / m•N Ang& + Kvi = AnsKvi/An¼vi mg& + KxY© = msKxY© /m¼xY© mg& + MxZ = msMxZ/ m½xZ mg& + NvZ = msNvZ /m•NvZ

mwÜ

23

wbqgÑ14 : Av‡M g& Ges c‡i P& †_‡K g& ch©š— eMx©q aŸwbi †h‡Kv‡bvwU _vK‡j c~e©c‡`i g& ¯’v‡b cieZx© eMx©q aŸwbi cÂg aŸwb nq| †hgb : g& + P& =  g& + Z& = š— g& + `& = ›` g& + a& = Ü g& + b& = bœ g& + c& = ¤ú g& + e& = ¤^ mg& + Pq = mÂq mg& + Zvc = mš—vc Mg& + Ze¨ = Mš—e¨ mg& + `k©b = m›`k©b mg& + avb = mÜvb mg& + wbwnZ = mwbœwnZ wKg& + bi = wKbœi mg& + c` = m¤ú` mg& + c~Y© = m¤ú~Y© mg& + ej = m¤^j mg& + wa = mwÜ mg& + wb‡ek = mwbœ‡ek mg& + b¨vm = mbœ¨vm mg& + cÖxwZ = m¤cÖxwZ mg& + cÖwZ = m¤cÖwZ mg& + c~iK = m¤ú~iK mg& + †evab = m‡¤^vab wKg& + wPr = wKwÂr mg& + Îvm = mš¿vm wKg& + Zz = wKš‘

ÁvZe¨ : KL‡bv KL‡bv g& -Gi c‡i e& _vK‡j g& ¯’v‡b s nq| †hgb : g& + e& = s mg& + ev` = msev` mg& + weavb = msweavb mg& + wer = mswer mg& + eiY = mseiY mg& + ea©bv = msea©bv wKg& + ev = wKsev

wbqg-15 : Av‡M g& Ges c‡i Aš—t¯’ e¨Äb (h& /i&/j& / e&) wKsev D®§aŸwbi (k& / m& /n) †h †KvbwU _vK‡j c~e©c‡`i g& ¯’v‡b s (Aby¯^vi) nq| †hgb : g& + h& = sh g& + i& = si g& + j& = sj g& + e& = se g& + k& = sk g& + m& = sm g& + n& = sn mg& + hZ = mshZ mg& + i¶Y = msi¶Y mg& + jvc = msjvc mg& + eiY = mseiY mg& + ev` = msev` mg& + kq = mskq mg& + †kvab = ms‡kvab mg& + mvi = msmvi mg& + nZ = msnZ mg& + nwZ = msnwZ mg& + hy³ = mshy³ mg& + iw¶Z = msiw¶Z mg& + jMœ = msjMœ mg& + ea©bv = msea©bv mg& + weavb = msweavb mg& + †k−l = ms‡k−l mg& + wk−ó = mswk−ó me©g& + mnv = me©smnv mg& + nvi = msnvi mg& + wnZv = mswnZv

24 wbqgÑ16 : P e‡M©i aŸwbi c‡i b& _vK‡j mw܇Z b&-Gi ¯’‡j T nq| †hgb : P& + b& = PT R& + b& = RT hvP& + bv = hvÂv ivR& + bx = ivÁx

evsjv e¨vKiY I wbwg©wZ

wbqg-17 : l& ÑGi c‡i Z& wKsev _& _vK‡j Z-Gi ¯’‡j U& Ges _&-Gi ¯’‡j V& nq| †hgb : l& + Z& = Z& > U& bl& + Z = bó m„l + wZ = m„wó l& + _& = _& > V& ll& + _ = lô e„l& + wZ = e„wó K…l& + wZ = K…wó wbl& + _v = wbôv

wbqgÑ18 : g&-Gi c‡i K… avZz wb®úbœ ÔK…ZÕ, ÔKviÕ, ÔKiYÕ, ÔK…wZÕ BZ¨vw` kã _vK‡j g& ¯’v‡b s nq, Ges m& aŸwbi AvMg nq| †hgb : g& + K…Z = s + m& g& + Kvi = s + m& g& + KiY = s + m& g& + K…wZ = s + m mg& + K…Z = ms¯‹…Z mg& + Kvi = ms¯‹vi mg& + KiY = ms¯‹iY mg& + K…wZ = ms¯‹…wZ

wbqg-19 : D®§eY© (k m n) c‡i _vK‡j c~e©c‡`i †k‡l Aew¯’Z b& aŸwb s-G cwiewZ©Z nq| †hgb: b& + m& = s wnb& + mv = wnsmv wmb& + n = wmsn `b& + kb = `skb

e¨ÄbmwÜ NwUZ k‡ãi D`vniY e¨ÄbmwÜ Aby‡”Q` = Aby + †Q` D×vi = Dr + nvi D”Q¡vm = Dr + k¦vm D˜NvUb = Dr + NvUb DbœZ = Dr + bZ KzR&SwUKv = Kzr + SwUKv RM`xk = RMr + Ck AnsKvi = Ang& + Kvi D”PviY = Dr + PviY D”Q„•Lj = Dr + k„•Lj D‡`¨vM = Dr + †hvM Dbœqb = Dr + bqb Pj”Qwe = Pjr + Qwe RMbœv_ = RMr + bv_ Dj−vm = Dr + jvm D¾¡j = Dr + R¡j D‡j−L = Dr + †jL D`¨g = Dr + `g K…wó = K…l& + wZ wPb¥q = wPr + gq RMb¥q = RMr + gq

mwÜ wYRš— = wYP& + Aš— Zw×Z = Z`& + wnZ w`M&MR = w`K& + MR c×wZ = c`& + nwZ ev•gq = evK& + gq hv”&Tv = hvP& + bv loFZz = lU& + FZz †lvok = lU& + `k mÂq = mg& + Pq ZrKvj = Z`& + Kvj Zb¥‡a¨ = Zr + g‡a¨ `y¨‡jvK = w`e + †jvK cÖwZ”Qwe = cÖwZ + Qwe eb¯úwZ = eb + cwZ ivÁx = ivR& + bx lohš¿ = lU &+ hš¿ m”PwiÎ = mr + PwiÎ msev` = mg& + ev` Zrmg = Z`& + mg w`Mš— = w`K& + Aš— cwi”Q` = cwi + Q` cwi‡”Q` = cwi + †Q` g„b¥q = g„r + gq lô = ll& + _ lY¥vm = lU& + gvm m¾b = mr + Rb msMxZ = mg& + MxZ

25

Abykxjbx
1. mwÜ Kv‡K e‡j? D`vniYmn †jL| 2. mwÜ Kq cÖKvi I Kx Kx? D`vniYmn †jL| 3. mwÜi cÖ‡qvRbxqZv Kx? D`vniY w`‡q eywS‡q `vI| 4. e¨ÄbmwÜ Kv‡K e‡j? D`vniYmn †jL| 5. mwÜe× kã Avjv`v K‡i †`LvI : KzR&SwUKv, Pj”Qwe, RM`xk, ZrKvj, Zrmg, w`Mš—, cwi”Q`, c×wZ, eb¯úwZ, msev`, msMxZ

6. mwÜ Ki :
RMr + bv_ = w`K& + Aš— = cwi + Q` = g„r + gq = mr + Rb = RMr + gq = w`K& + MR = c`& + nwZ = lU& + FZz = mg& + ev` = Z`& + wnZ = w`e + †jvK = eb + cwZ = lU& + `k = mg& + MxZ =

26

evsjv e¨vKiY I wbwg©wZ

Kg©-Abykxjb
1| mwÜi msÁv Ges mwÜi cÖKvi‡f` D‡j−Lc~e©K wewfbœ cÖKvi mwÜi cwiPq GKwU †cv÷vi †ccv‡i my›`i K‡i mvwR‡q †jL|

2| QK Abyhvqx wb‡Pi k㸇jvi mwÜ we‡k−lY Ki Ges mwÜi wbqg †jL : kã bevbœ ï‡f”Qv †`‡e›`ª bx‡jvrcj g‡nvrme kxZvZ© wn‰Zlx BZ¨vw` mwÜ-we‡k−lY mwÜi wbqg

27

5. kã I c`
5.1 KviK I wefw³ evsjv e¨vKi‡Y ÔKviKÕ GKwU mycwiwPZ cÖm½| ÔKviKÕ kãwUi A_©, †h †Kv‡bv KvR ev wµqv m¤úv`b K‡i| ev‡K¨ KZ©vB wµqv m¤úv`b K‡i| myZivs KZ©vB KviK GB iKg g‡b n‡Z cv‡i| wKš—z e¨vKi‡Y ïay KZ©vB KviK bq| KZ©v Kx Ki‡Q, Kvi mvnv‡h¨ Ki‡Q, †Kv_vq Ki‡Q A_©vr wµqv m¤úv`‡bi Aej¤^b, DcKiY, †nZz, ¯’vb, Kvj BZ¨vw` mewKQyB G‡¶‡Î we‡eP¨| wµqv m¤úv`‡b wµqvi m‡½ Hme e¨w³, e¯‘, ¯’vb, Kvj BZ¨vw`i †h m¤úK© i‡q‡Q, e¨vKi‡Y Zv KviK bv‡g AwfwnZ|

Kvi‡Ki msÁv ev‡K¨i Aš—M©Z wµqvc‡`i m‡½ we‡kl¨ I me©bvg c‡`i †h m¤úK©, Zv‡K KviK e‡j|

Kvi‡Ki cÖKvi‡f` evK¨w¯’Z wµqvc‡`i m‡½ we‡kl¨ ev me©bvg c‡`i Qq cÖKv‡ii m¤úK© n‡q _v‡K| GB m¤ú‡K©i wfwˇZ KviK Qq cÖKvi| †hgb : 1. KZ©„KviK, 4. m¤úª`vb KviK, 2. Kg©KviK, 5. Acv`vb KviK I 3. KiY KviK, 6. AwaKiY KviK

wb‡P GKwU ev‡K¨i mvnv‡h¨ GB m¤ú‡K©i m~Îmg~n †`Lv‡bv n‡jv : Ôev`kv bvwmi DwÏb cÖZ¨n mKv‡j ivR‡Kvl n‡Z ¯^n‡¯— `wi`ª‡`i‡K ab `vb Ki‡Zb|Õ 1. †K `vb Ki‡Zb ? ev`kv bvwmi DwÏb (KZ…©KviK) 2. Kx `vb Ki‡Zb? ab (Kg©KviK) 3. Kx Øviv `vb Ki‡Zb? ¯^n‡¯— (KiY KviK) 4. Kv‡`i‡K `vb Ki‡Zb? `wi`ª‡`i‡K (m¤úª`vb KviK) 5. †Kv_v n‡Z `vb Ki‡Zb? ivR‡Kvl n‡Z (Acv`vb KviK) 6. KLb `vb Ki‡Zb? cÖZ¨n mKv‡j (AwaKiY KviK)

KviK wbY©‡qi cÖ‡kœvËi c×wZ
1. wµqv‡K Ô†KÕ Øviv cÖ‡kœi Dˇi cvIqv hv‡e KZ©„KviK| 2. wµqv‡K ÔKx ev Kv‡KÕ Øviv cÖ‡kœi Dˇi cvIqv hv‡e Kg©KviK| 3. wµqv‡K ÔKx ØvivÕ cÖ‡kœi Dˇi cvIqv hv‡e KiY KviK| 4. wµqv‡K ÔKv‡KÕ (¯^Z¡Z¨vM K‡i cÖ`vb) Øviv cÖ‡kœi Dˇi cvIqv hv‡e m¤úª`vb KviK|

28 5. wµqv‡K Ô†Kv_v n‡ZÕ cÖ‡kœi Dˇi cvIqv hv‡e Acv`vb KviK|

evsjv e¨vKiY I wbwg©wZ

6. wµqv‡K Ô†Kv_vqÕ, ÔKLbÕ Øviv cÖ‡kœi Dˇi cvIqv hv‡e AwaKiY KviK|

wefw³ ev‡K¨i k㸇jvi wbw`©ó web¨vm _v‡K| web¨vmB mgMÖ ev‡K¨i A_© ¯úó K‡i †`q| †`Lv hvq, ev‡K¨i h_vh_ A_© Ávc‡bi Rb¨ evK¨w¯’Z bvg k㸇jvi m‡½ KL‡bv KL‡bv eY© ev eY©mgwó hy³ n‡q _v‡K| GB eY© ev eY©mgwói bvg wefw³| evsjv ev‡K¨i c`¸‡jvi cvi¯úwiK m¤ú‡K©i wfwˇZ KviK wb‡`©‡ki Rb¨ GB wefw³¸‡jvi mwe‡kl ¸i“Z¡ i‡q‡Q| A‡bK mgq wefw³i cÖ‡qvRb c‡o bv| wefw³ bv _vK‡j k~b¨ wefw³ (0) a‡i wb‡Z nq| †hgb : mܨvq AvKv‡k Puv` D‡V‡Q| GB ev‡K¨ wZbwU bvg kã Av‡Q mܨv, AvKvk, Puv`| Avi ÔD‡V‡QÕ n‡jv wµqvc`| mgMÖ evK¨wUi A_©MÖvn¨Zvi Rb¨ ÔmܨvÕ k‡ãi m‡½ ÔqÕ, ÔAvKvkÕ k‡ãi m‡½ ÔGÕ hy³ n‡q‡Q| ÔqÕ, ÔGÕ n‡jv wefw³| Puv`-Gi m‡½ †Kv‡bv eY© hy³ nqwb cÖ‡qvRb †bB e‡j| wKš—z e¨vKiYg‡Z, †mLv‡bI wefw³ Av‡Q, Z‡e Zv k~b¨ (0) wefw³| k~b¨ (0) wefw³‡K A-wefw³I ejv nq| mgMÖ evK¨wUi web¨vm GB iKg : mܨvq AvKv‡k Puv` D‡V‡Q| mܨv+q AvKvk+G Puv`+0 I‡V‡Q| GB ev‡K¨i wef³ Ask¸‡jvB (q, G, 0) wefw³| msÁv ev‡K¨ e¨eüZ †h eY© ev eY©mgwó ev‡K¨i A_©MÖvn¨Zvq mvnvh¨ K‡i, Zv‡`i wefw³ ejv nq| wefw³i cÖ‡qvRbxqZv evsjvq Ggb A‡bK evK¨ i‡q‡Q, †h¸‡jv‡Z wµqvc` †bB| †hgb : gv‡V gv‡V ARmª dmj| †QvU †QvU wWwO †bŠKv¸‡jv b`x‡Z fvmgvb| GB RvZxq wµqvnxb A‡bK evK¨ evsjvq i‡q‡Q| wµqv †bB e‡j GB evK¨¸‡jvi Aš—M©Z bvg k㸇jvi KviKI †bB| †mRb¨ ejv nq evsjv evK¨ KviK-cÖavb bq| wKš—z wefw³ Qvov evsjv evK¨ wVKfv‡e MwVZ n‡Z cv‡i bv Ges evK¨I A_©MÖvn¨ nq bv| Ic‡ii `ywU ev‡K¨i wefw³ Zz‡j wb‡j evK¨¸‡jv h_vh_ A_© cÖKvk Ki‡e bv| ÔgvV gvV ARmª dmjÕ wKsev Ô†QvU †QvU wWwO †bŠKv¸‡jv b`x fvmgvbÕ evK¨ wn‡m‡e ÎywUc~Y©| cÖ_g ev‡K¨ ÔGÕ wefw³ (gvV+G), wØZxq ev‡K¨ Ô†ZÕ wefw³ (b`x+†Z) evK¨ `ywUi web¨vm I A_© wVK K‡i w`‡q‡Q| ÔMv‡Qi cvZvq iv‡Zi wkwki †j‡M Av‡QÕ ⎯GB ev‡K¨I Avgiv †`LwQ Gi wefw³ [MvQ+Gi, ivZ+Gi] I ÔqÕ wefw³ [cvZv+q] evK¨wU‡K m¤ú~Y© A_©MÖvn¨

kã I c`

29

K‡i‡Q| bZzev ÔMvQ cvZv ivZ wkwkiÕ †Kv‡bv evK¨ bq| Zvn‡j †evSv hv‡”Q, wefw³ ev‡K¨i Aš—M©Z kã A_©vr c`¸‡jvi g‡a¨ m¤úK© m„wó K‡i Ges ev‡K¨i A_© wbw`©ó K‡i| †mRb¨ evsjv evK¨ wefw³cÖavb| Gi †_‡K evsjv ev‡K¨ wefw³i cÖ‡qvRbxqZv Abyaveb Kiv hvq| Aek¨ me mgq wefw³ w`‡q evsjv fvlv fve cÖKvk Ki‡Z cv‡i bv, †mme †¶‡Î wefw³i ¯’v‡b wefw³-¯’vbxq wKQzkã †hgb ÔØvivÕ, Ôw`‡qÕ, ÔKZ…©KÕ, Ôn‡ZÕ, Ô†_‡KÕ, Ô†P‡qÕ BZ¨vw` e¨eüZ nq|

wefw³i cÖKvi‡f` wefw³ `yB cÖKvi| h_v : 1. kã wefw³ ev bvg wefw³ I 2. wµqv wefw³|

1. kã wefw³ ev bvg wefw³ kã ev bvg c‡`i m‡½ †hme wefw³ hy³ nq, Zv‡K kã wefw³ ev bvg wefw³ e‡j| †hgb : wf¶zK‡K wf¶v `vI| (wf¶zK + †K)

2. wµqv wefw³ avZz ev wµqvc‡`i m‡½ †hme wefw³ hy³ nq, Zv‡K wµqv wefw³ e‡j| †hgb : wZwb evwo hv‡eb (√hv + Be& + Gb = hvB‡eb > hv‡eb)| kã wefw³i m‡½ Kvi‡Ki Ges wµqv wefw³i m‡½ Kvj I cyi“‡li cÖZ¨¶ m¤^Ü i‡q‡Q| kã wefw³ ev bvg wefw³ KviK wb‡`©k K‡i e‡j G¸‡jv‡K KviK wefw³I ejv nq| KviK‡f‡` kã wefw³ mvZ cÖKvi| †hgb : cÖ_gv, wØZxqv, Z…Zxqv, PZz_©x, cÂgx, lôx I mßgx| evsjvq A‡bK †¶‡ÎB wefw³nxb c` cvIqv hvq| GB Abycw¯’Z wefw³‡K ejv nq k~b¨ (0) wefw³| GKePb I eûeP‡b KviK wefw³i i~c : wefw³ cÖ_gv wØZxqv Z…Zxqv PZz_x© cÂgx lôx mßgx GKePb k~b¨ (0), A, G, (q), †Z †K, †i, G‡i Øviv, w`qv, KZ©„K †K, †i, G‡i n‡Z, †_‡K, †P‡q i, Gi G, q, †Z, G‡Z eûePb iv, Giv, ¸wj (¸‡jv), MY w`M‡K, w`‡M‡i, †`‡i w`‡Mi Øviv, †`i Øviv, w`M KZ…©K w`M‡K, w`‡M‡i, †`‡i w`‡Mi n‡Z, †`i n‡Z, w`‡Mi †P‡q w`‡Mi, †`i, ¸wji, M‡Yi w`‡M, w`‡M‡Z, ¸wj‡Z

30

evsjv e¨vKiY I wbwg©wZ

1. KZ©„KviK cvwL Wv‡K| †m hvq| eyjeywj‡Z avb †L‡q‡Q| Dwj−wLZ evK¨ wZbwU‡Z Wv‡K, hvq Ges †L‡q‡Q wµqvc`| GB wµqv¸‡jv m¤úv`b Ki‡Q h_vµ‡g cvwL, †m Ges eyjeywj| myZivs cvwL, †m Ges eyjeywj KZ©„KviK| †h wµqv m¤úv`b K‡i Zv‡K KZ©v e‡j Ges wµqvi m‡½ KZ…m¤^Ühy³ c`B KZ…©KviK| © msÁv evK¨w¯’Z †h we‡kl¨ ev me©bvg c` wµqv m¤úbœ K‡i, Zv‡K KZ…©KviK e‡j| KZ©„Kvi‡Ki cÖKvi‡f` wµqv m¤úv`‡bi ˆewPΨ ev ˆewkó¨ Abyhvqx KZ©…KviK Qq cÖKvi| †hgb : K. gyL¨KZ©v : †h wb‡RB wµqv m¤úv`b K‡i, †m-B gyL¨KZ©v| †hgb : †Nvov Mvwo Uv‡b| gyljav‡i e„wó co‡Q| L. cÖ‡hvRK KZ©v : g~j KZ©v hLb Ab¨‡K †Kv‡bv Kv‡R wb‡qvwRZ K‡i wµqv m¤úbœ Kivq, ZLb Zv‡K cÖ‡hvRK KZ©v e‡j| †hgb : gv wkï‡K Puv` †`Lv‡”Qb| GLv‡b ÔgvÕ cÖ‡hvRK KZ©v | M. cÖ‡hvR¨ KZ©v : g~j KZ©vi KiYxq KvR hvi Øviv m¤úvw`Z nq, Zv‡K cÖ‡hvR¨ KZ©v e‡j| †hgb : gv wkï‡K Puv` †`Lv‡”Qb| wk¶K QvÎMY‡K cov‡”Qb| GLv‡b ÔwkïÕ Ges ÔQvÎMYÕ cÖ‡hvR¨ KZ©v | N. e¨wZnvi KZ©v : ev‡K¨i g‡a¨ `ywU KZ©v hLb GK‡Î GKRvZxq wµqv m¤úv`b K‡i, ZLb Zv‡`i e¨wZnvi KZ©v e‡j| †hgb : †mqv‡b †mqv‡b jovB| ev‡N-gwn‡l GK Nv‡U Rj Lvq|

kã I c` KZ…©Kvi‡K wewfbœ wefw³i cÖ‡qvM cÖ_gv wefw³ wØZxqv wefw³ Z…Zxqv wefw³ lôx wefw³ mßgx wefw³ : wknve eB c‡o| : wkgyj‡K †h‡Z n‡e| : bRi“j KZ…©K AwMœexYv iwPZ n‡q‡Q| : Avgvi LvIqv nqwb| : QvM‡j wKbv Lvq|

31

2. Kg©KviK
†Nvov Mvwo Uv‡b| kv‡n` eB c‡o| msÁv : hv‡K Avkªq K‡i KZ©v wµqv m¤úbœ K‡i, Zv‡K Kg©KviK e‡j| Dwj−wLZ evK¨ `ywU‡Z Ô†NvovÕ Ges Ôkv‡n`Õ h_vµ‡g ÔMvwoÕ Ges ÔeBÕ-†K Avkªq K‡i ÔUvbvÕ Ges ÔcovÕ wµqv m¤úbœ K‡i| myZivs ÔMvwoÕ Ges ÔeBÕ Kg©KviK| Kg©Kvi‡K wewfbœ wefw³i cÖ‡qvM cÖ_gv wefw³ : cywjk WvK| wØZxqv wefw³ : Avwg Zv‡K wPwb| lôx wefw³ : †`‡ki †mev Ki| mßgx wefw³ : wRÁvwme R‡b R‡b|

3. KiY KviK
ÔKiYÕ kãwUi A_© hš¿, mnvq ev Dcvq| A_©vr wµqv wb®úwËi e¨vcv‡i hv cÖavb mnvq Zv-B KiY| msÁv : KZ©v hvi mvnv‡h¨ wµqv m¤úv`b K‡i, Zv‡K KiY KviK e‡j| †hgb : †Q‡jiv ej †L‡j| eb¨vq †`k c−vweZ n‡jv| KjgwU †mvbvq †gvov| KiY Kvi‡K mvaviYZ Z…Zxqv wefw³ nq| KiY Kvi‡K wewfbœ wefw³i cÖ‡qvM cÖ_gv wefw³ : †Q‡jiv ej †L‡j| Z…Zxqv wefw³ : Avgiv Kvb Øviv ïwb| cÂgx wefw³ : G mš—vb n‡Z †`‡ki gyL D¾¡j n‡e| lôx wefw³ : Zvi gv_vq jvwVi AvNvZ K‡iv bv| mßgx wefw³ : AvKvk †g‡N XvKv|

32

evsjv e¨vKiY I wbwg©wZ

4. m¤úª`vb KviK
Ôm¤úª`vbÕ A_© †¯^”Qvq `vb| msÁv : hv‡K ¯^Z¡ Z¨vM K‡i †Kv‡bv wKQy `vb Kiv nq, †mB `vb-MÖnxZv‡K m¤úª`vb KviK e‡j| †hgb : wf¶zK‡K wf¶v `vI| AÜR‡b †`n Av‡jv| e¯¿nx‡b e¯¿ `vI| wKš—z Ô¯^Z¡ Z¨vMÕ bv †evSv‡j m¤úª`vb KviK n‡e bv| †hgb : †avcv‡K Kvco `vI| G‡¶‡Î Ô †avcvÕ m¤úª`vb KviK bq KviY Ô†avcv‡KÕ Kvco KL‡bvB ¯^Z¡ Z¨vM K‡i †`Iqv nq bv| ÁvZe¨ : ms¯‹…Z e¨vKi‡Yi Abymi‡Y evsjv fvlvq m¤úª`vb Kvi‡Ki e¨envi P‡j Avm‡Q| wKš—z m¤úª`vb KviK Ges Kg© Kvi‡Ki wefw³ wPý GK| †Kej `v‡bi cÖm‡½ A‡bK e¨vKiY-we‡klÁ m¤úª`vb Kvi‡Ki c„_K Aw¯—Z¡ ¯^xKv‡i A¯^xK…wZ Ávcb K‡i‡Qb| m¤úª`vb Kvi‡K mvaviYZ PZz_x© wefw³ nq| m¤úª`vb Kvi‡K wewfbœ wefw³i cÖ‡qvM cÖ_gv wefw³ PZz_x© wefw³ lôx wefw³ mßgx wefw³ : ¸i“ `w¶Yv `vI| : `wi`ª‡K `vb Ki| : wf¶zK‡`i wf¶v `vI| : `x‡b `qv Ki|

5. Acv`vb KviK msÁv : hv †_‡K †Kv‡bv wKQy wePy¨Z, cwZZ, M„nxZ, RvZ, iw¶Z, weiZ, `~ixf‚Z I Drcbœ Ges hv †`‡L †KD fxZ nq, Zv‡K Acv`vb KviK e‡j| †hgb : wePy¨Z cwZZ M„nxZ RvZ iw¶Z weiZ Drcbœ fxZ : e„¶ †_‡K cvZv S‡i| : †g‡N e„wó nq| : wSbyK †_‡K gy³v †g‡j| : Rwg †_‡K dmj cvB| : wec‡` †gv‡i i¶v Ki| : cv‡c weiZ nI| : wZ‡j ˆZj nq| : my›`ie‡b ev‡Ni fq Av‡Q|

`~ixf‚Z : †`k †_‡K wec` P‡j †M‡Q|

kã I c` Acv`vb Kvi‡K mvaviYZ cÂgx wefw³ nq| Acv`vb Kvi‡K wewfbœ wefw³i cª‡qvM cÖ_gv wefw³ wØZxqv wefw³ Z…Zxqv wefw³ cÂgx wefw³ lôx wefw³ mßgx wefw³ : : : : : : †UªbwU XvKv Qvoj| evev‡K eÇ fq cvB| Zvi †PvL w`‡q cvwb co‡Q| †R‡jiv b`x †_‡K gvQ ai‡Q| ev‡Ni f‡q mK‡j fxZ| `y‡a `B nq|

33

6. AwaKiY KviK msÁv : †h ¯’v‡b, †h Kv‡j ev †h wel‡q wµqv m¤úbœ nq, Zv‡K wµqvi Avavi e‡j| wµqvi Avavi‡K AwaKiY KviK e‡j| †hgb : e‡b evN _v‡K| em‡š— †KvwKj Wv‡K| cÖKvi‡f` A_©‡f‡` AwaKiY KviK Pvi cÖKvi| †hgb : K. ¯’vbvwaKiY; L. KvjvwaKiY; M. welqvwaKiY I N. fvevwaKiY| K. ¯’vbvwaKiY : †h ¯’v‡b wµqv m¤úbœ nq, Zv‡K ¯’vbvwaKiY KviK e‡j| †hgb : R‡j Kzwgi _v‡K| L. KvjvwaKiY : †h Kv‡j wµqv m¤úbœ nq, Zv‡K KvjvwaKiY KviK e‡j| †hgb : ki‡Z kvcjv †dv‡U| M. welqvwaKiY : †Kv‡bv wel‡q `¶Zv ev A¶gZv cÖKv‡k wµqv wb®úbœ n‡j, Zv‡K welqvwaKiY KviK e‡j| †hgb : wZwb Bs‡iwR‡Z fv‡jv| kwdK MwY‡Z KuvPv| N. fvevwaKiY : GKwU wµqv Ab¨ wµqvi Ici wbf©i Ki‡j wbf©ikxj wµqvc`wU fveevP‡K cwiYZ n‡q AwaKiY n‡j, Zv‡K fvevwaKiY KviK e‡j| †hgb : m~‡h©v`‡q AÜKvi `~ixf‚Z nq| G‡¶‡Î ÔAÜKvi `~ixf‚Z nIqvÕ Ôm~‡h©v`‡qiÕ Ici wbf©ikxj| AZGe Ôm~‡h©v`‡qÕ fvevwaKiY KviK| Abyi~c : nvwm‡Z gy³v S‡i| AwaKiY Kvi‡K mvaviYZ mßgx wefw³ nq| wZwb e¨vKi‡Y cwÊZ|

34 AwaKiY Kvi‡K wewfbœ wefw³i cÖ‡qvM cÖ_gv wefw³ wØZxqv wefw³ Z…Zxqv wefw³ cÂgx wefw³ mßgx wefw³ : : : : : Avwg AvMvgx Kvj evwo hve| gb Avgvi bv‡P‡i AvwR‡K| wLwjcv‡b w`‡q JlaUv †L‡q wbI| Qv` †_‡K b`x †`Lv hvq| e‡b evN _v‡K|

evsjv e¨vKiY I wbwg©wZ

5.2 m¤^Ü I m‡¤^vab c` ev‡K¨ wµqvi m‡½ Ab¨vb¨ c‡`i †h m¤^Ü, Zv‡K KviK e‡j| wKš—z wµqvc‡`i m‡½ m¤úK© bv †i‡L †h bvgc` evK¨w¯’Z Ab¨ c‡`i m‡½ m¤úK©hy³ nq, Zv‡K m¤^Ü c` e‡j| †hgb : iv‡gi fvB XvKv hv‡e| GLv‡b Ôiv‡giÕ m‡½ ÔfvB‡qiÕ m¤úK© Av‡Q wKš—z Ôhv‡eÕ wµqvc‡`i m‡½ †Kv‡bv m¤^Ü †bB| myZivs wµqvi m‡½ m¤^Ü c‡`i †Kv‡bv m¤úK© †bB e‡j m¤^Ü c` KviK bq| m¤^Ü c‡`i wefw³ K. m¤^Ü c‡` lôx (ÔiÕ ev ÔGiÕ) wefw³ nq| †hgb : †mvbv + i = †mvbvi (_vjv)| Zv‡iK + Gi = Zv‡i‡Ki (fvB)| L. mgqevPK A‡_© m¤^Ü c‡` Kvi > †Ki wefw³ hy³ nq| †hgb : AvwR + Kvi = AvwRKvi > AvR‡Ki (Lei)| c~‡e© + Kvi = c~‡e©Kvi (NUbv)| m‡¤^vab c` m‡¤^vab A_© ÔAvnŸvbÕ| hv‡K m‡¤^vab ev AvnŸvb K‡i wKQy ejv nq, Zv‡K m‡¤^vab c` e‡j| †hgb : I‡n BKevj, Gw`‡K G‡mv| gvaex, GLv‡b G‡mv| GLv‡b ÔBKevjÕ I ÔgvaexÕ m‡¤^vab c`| KviY Zv‡`i‡K AvnŸvb ev m‡¤^vab K‡i wKQy ejv n‡q‡Q| m‡¤^vab c` ev‡K¨i Ask wKš—z GB m‡¤^vab c‡`i m‡½ ev‡K¨i wµqvc‡`i †Kv‡bv m¤úK© †bB| evK¨w¯’Z wµqvc‡`i m‡½ †Kv‡bv m¤^Ü _v‡K bv e‡j m‡¤^vab c` KviK bq| wewfbœ Kvi‡K GKB wefw³i cÖ‡qvM mKj Kvi‡K Ôk~b¨Õ wefw³i cÖ‡qvM KZ©…Kvi‡K Ôk~b¨Õ wefw³ : myRb ¯‹z‡j hvq|

kã I c` Kg©Kvi‡K Ôk~b¨ Õ wefw³ KiY Kvi‡K Ôk~b¨Õ wefw³ m¤úª`vb Kvi‡K Ôk~b¨Õ wefw³ Acv`vb Kvi‡K Ôk~b¨Õ wefw³ AwaKiY Kvi‡K Ôk~b¨Õ wefw³ : : : : : †Nvov Mvwo Uv‡b| †Q‡jiv ej †L‡j| wf¶v `vI †`wL‡j wf¶zK| †UªbwU XvKv Qvoj| Avgiv Lyjbv hve|

35

mKj Kvi‡K ÔGÕ ev ÔmßgxÕ wefw³i cÖ‡qvM KZ…©Kvi‡K ÔGÕ wefw³ Kg©Kvi‡K ÔGÕ wefw³ KiY Kvi‡K ÔGÕ wefw³ m¤úª`vb Kvi‡K ÔGÕ wefw³ Acv`vb Kvi‡K ÔGÕ wefw³ AwaKiY Kvi‡K ÔGÕ wefw³ : : : : : : cvM‡j wKbv e‡j| wRÁvwme R‡b R‡b| Áv‡b wegj Avb›` jvf nq| `x‡b `qv Ki| wZ‡j ˆZj nq| e‡b evN _v‡K|

†gvUv A¶‡ii c`¸‡jvi KviK I wefw³ wbY©q
A_© Ab_© NUvq| AÜR‡b †`n Av‡jv| Abœnx‡b Abœ `vI| AvKvk †g‡N XvKv| Avgvi fvZ LvIqv n‡jv bv| Avgvi LvIqv n‡jv bv| AvKv‡k Puv` I‡V‡Q| BU-cv_‡ii evwo †ek k³| B‡Ui evwo mn‡R fv‡½ bv| G Kj‡g fv‡jv †jLv nq| G Rwg‡Z †mvbv d‡j| G Kj‡g †ek †jLv hvq| K‡g© k~b¨| m¤úª`v‡b mßgx m¤úª`v‡b mßgx AwaKi‡Y k~b¨ K‡g© k~b¨ KZ…©Kvi‡K lôx AwaKi‡Y mßgx Ki‡Y lôx Ki‡Y lôx Ki‡Y mßgx AwaKi‡Y mßgx Ki‡Y mßgx

36 Kvbœvq †kvK g›`xf‚Z nq| Kv‡Pi wRwbm mn‡R fv‡O| Kvb‡b Kzmyg Kwj mKwj dzwUj| K…lK jv½j Pl‡Q| Kvwji `vM mn‡R I‡V bv| Kv‡R gb `vI| Mvwo †÷kb Qvoj| MM‡b Mi‡R †gN Nb eilv| Muv‡q gv‡b bv Avcwb †gvoj| Miy‡Z Mvwo Uv‡b| ¸iyR‡b Ki fw³/bwZ| M„nnx‡b M„n `vI| MM‡b Mi‡R †gN| †Nvovq Mvwo Uv‡b| N‡i‡Z ågi G‡jv ¸b¸wb‡q| †Pv‡ii f‡q Nyg Av‡m bv| Qv` †_‡K b`x †`Lv hvq| Qv‡` e„wó c‡o| †Q‡jwU A‡¼ KuvPv| QvM‡j wKbv Lvq| Rj‡K Pj| Rj c‡o cvZv b‡o| Rwg‡Z †mvbv d‡j| R‡ji wjLb _v‡K bv| wRÁvwme R‡b R‡b| AwaKi‡Y mßgx Ki‡Y lôx AwaKi‡Y mßgx Ki‡Y k~b¨ m¤^‡Ü lôx K‡g© mßgx Acv`v‡b k~b¨ AwaKi‡Y mßgx KZ…©Kvi‡K mßgx KZ©„Kvi‡K mßgx K‡g© mßgx m¤úª`v‡b mßgx KZ©„Kvi‡K k~b¨ KZ©„Kvi‡K mßgx AwaKi‡Y mßgx Acv`v‡b lôx AwaKi‡Y cÂgx AwaKi‡Y mßgx AwaKi‡Y mßgx KZ©„Kvi‡K mßgx wbwgËv‡_© PZz_x© KZ©„Kvi‡K k~b¨ AwaKi‡Y mßgx Ki‡Y lôx K‡g© mßgx

evsjv e¨vKiY I wbwg©wZ

kã I c` Rx‡e `qv K‡i mvayRb| Áv‡b wegj Avb›` nq| †R‡j gvQ a‡i| R‡j Kzwgi Wv½vq evN| wSby‡K gy³v Av‡Q| UvKvq wKbv nq| †UªbwU XvKv †Q‡o‡Q| UvKvi †jvf fv‡jv bq| Wv³vi WvK| wZwb e¨vKi‡Y cwÊZ| wZ‡j ˆZj nq| wZwb n‡R †M‡Qb| wZwb evwo †bB| Zviv dzUej †L‡j| Zvi a‡g© gwZ Av‡Q| `‡k wg‡j Kwi KvR| `y‡a Qvbv nq| `wi`ª‡K ab `vI| †avcv‡K Kvco `vI| avb †_‡K PvDj nq| abx `wi`ª‡K N„Yv K‡i| †`‡ki Rb¨ cÖvY `vI| w`e †Zvgv kª×v fw³| bZzb av‡b¨ n‡e bevbœ| wb‡Ri †Póvq eo nI| m¤úª`v‡b mßgx Ki‡Y mßgx KZ…©Kvi‡K mßgx AwaKi‡Y mßgx AwaKi‡Y mßgx Ki‡Y mßgx Acv`v‡b k~b¨ m¤^‡Ü lôx K‡g© k~b¨ AwaKi‡Y mßgx Acv`v‡b mßgx wbwgËv‡_© mßgx AwaKi‡Y k~b¨ Ki‡Y k~b¨ AwaKi‡Y mßgx KZ…©Kvi‡K mßgx Acv`v‡b mßgx m¤úª`v‡b PZz_x© K‡g© wØZxqv Acv`v‡b cÂgx K‡g© wØZxqv m¤úª`v‡b lôx m¤úª`v‡b k~b¨ Ki‡Y mßgx Ki‡Y mßgx

37

38 bRiyj KZ©„K AwMœexYv iwPZ nq| b`x‡Z gvQ Av‡Q| wk¶K‡K kª×v KwiI| wkKvwi weovj †Muv‡d †Pbv hvq| kª×vevb j‡f Ávb A‡b¨ Kfz bq| me©wk‡l¨ Ávb †`b ¸i“ gnvkq| m‡ive‡i cÙ R‡b¥| me wSby‡K gy³v wg‡j bv| m~h© DV‡j AÜKvi `~i nq| me©v‡½ e¨_v Jla †`e †Kv_v | mvcy‡o mvc †Ljvq| mgy`ªR‡j jeY Av‡Q| me©f‚‡Z `vb Ki| †m evwo †bB| nv‡Z KvR Ki| ü`q Avgvi bv‡P‡i AvwR‡K| KZ…©Kvi‡K 3qv AwaKi‡Y mßgx Kg©Kvi‡K wØZxqv Ki‡Y mßgx KZ…©Kvi‡K k~b¨ K‡g© mßgx AwaKi‡Y mßgx AwaKi‡Y mßgx K‡g© k~b¨ AwaKi‡Y mßgx KZ„©Kvi‡K k~b¨ AwaKi‡Y mßgx m¤úª`v‡b mßgx AwaKi‡Y k~b¨ Ki‡Y mßgx AwaKi‡Y wØZxqv

evsjv e¨vKiY I wbwg©wZ

Abykxjbx
1| KviK Kv‡K e‡j? KviK Kq cÖKvi I Kx Kx? D`vniYmn cÖ‡Z¨K cÖKvi Kvi‡Ki cwiPq `vI| 2| KviK-wefw³ ej‡Z Kx †evS? GKePb I eûeP‡bi KviK-wefw³i wPý¸‡jv †jL| 3| KZ„©KviK Kv‡K e‡j? KZ©„Kvi‡Ki cÖKvi‡f`¸‡jv D`vniYmn Av‡jvPbv Ki| 4| AwaKiY KviK Kv‡K e‡j? AwaKiY KviK Kq cÖKvi I Kx Kx? cÖ‡Z¨K cÖKv‡ii `ywU K‡i D`vniY `vI| 5| Ôm¤^Ü Ges m‡¤^vab c` KviK bq †Kb? Õ D`vniYmn Av‡jvPbv Ki| 6| mKj Kvi‡K ÔGÕ ev ÔmßgxÕ wefw³i cÖ‡qvM †`LvI| 7| mKj Kvi‡K Ôk~b¨Õ wefw³i cÖ‡qvM †`LvI|

39

5.3 kãi~c
GKwU kã‡K wewfbœ Kvi‡K, m¤^Ü c` wn‡m‡e Ges m‡¤^va‡b e¨envi Ki‡Z n‡j, wefw³ I AbymM© †hvM K‡i mswk−ó k‡ãi †hi~c nq, Zv‡K ejv nq kãi~c| †hgb : evjK + †K = evjK‡K, evjK + Gi = evj‡Ki| wb‡P we‡kl¨ kã ÔgvbylÕ Ges me©bvg kã ÔAvwgÕ, ÔZzwgÕ I Ô†mÕÑ Gi GKeP‡bi I eûeP‡bi kãi~c †`Lv‡bv n‡jv : (K) we‡kl¨ k‡ãi i~c : gvbyl gvbyl KviK KZ©v Kg© KiY m¤cÖ`vb Acv`vb m¤^Ü c` AwaKiY m‡¤^vab GKePb gvbyl, gvby‡l (gvbyl+G) gvbyl‡K (gvbyl+†K) gvbyl Øviv, gvbyl w`qv > w`‡q gvbyl‡K w`‡q gvbyl‡K (gvbyl + †K) gvbyl nB‡Z, gvbyl n‡Z, gvbyl †_‡K, gvby‡li KvQ †_‡K gvby‡li gvby‡li †n gvbyl! eûePb gvby‡liv (gvbyl + Giv) gvbyl¸wj-¸‡jv, gvbylMY, gvbylmKj gvbyl‡`i| gvbylw`M‡K, gvbyl‡`i‡K (w`M+†K) (†`i+†K) gvbyl¸wj Øviv, gvbyl¸wj‡K w`‡q

gvbylw`M nB‡Z, gvbyl‡`i KvQ †_‡K; gvbyl¸wji KvQ †_‡K gvbylw`‡Mi, gvbyl‡`i, gvbyl¸wji gvbylw`‡Mi, gvbylM‡Yi gvbyl¸wji, gvbyl‡`i †n gvbylMY, gvbylme

(L) me©bvg k‡ãi i~c : Avwg, Zzwg, †m

Avwg
KviK GKePb eûePb KZ©v Avwg Avgiv, Avgiv-me, Avgiv-mK‡j Kg© I Avgv‡K Avgvw`M‡K > Avgv‡`i, Avgv‡`i‡K m¤cÖ`vb KiY Avgv Øviv, Avgvi Øviv Avgv‡K w`qv Avgvw`‡Mi Øviv, Avgv‡`i Øviv, Avgv‡`i‡K > w`‡q w`‡q

40 Acv`vb m¤^Ü AwaKiY

evsjv e¨vKiY I wbwg©wZ Avgv nB‡Z > n‡Z Avgvi KvQ †_‡K Avgvw`M nB‡Z, Avgvw`‡Mi wbKU nB‡Z, Avgv‡`i KvQ †_‡K Avgvi, †gvi (c‡`¨) Avgvw`‡Mi > Avgv‡`i, †gv‡`i (c‡`¨) Avgv mevKvi (c‡`¨) Avgv‡Z, Avgvi g‡a¨ Avgvw`‡M‡Z, Avgvw`‡Mi g‡a¨ > Avgv‡`i g‡a¨

Zzwg
KviK GKePb KZ©v Zzwg Kg© I †Zvgv‡K m¤cÖ`vb KiY †Zvgvi Øviv, †Zvgv‡K w`qv > w`‡q Avcv`vb eûePb †Zvgiv, †Zvgiv me †Zvgvw`M‡K, †Zvgv‡`‡K, †Zvgv‡`i‡K

mš^Ü AwaKiY

†Zvgvw`‡Mi Øviv, †Zvgv‡`i Øviv, †Zvgvw`M‡K w`qv, †Zvgv‡`i w`‡q †Zvgv nB‡Z > n‡Z, †Zvgvi wbKU †Zvgvw`M nB‡Z, †Zvgvw`‡Mi wbKU nB‡Z, nB‡Z, †Zvgvi KvQ †_‡K †Zvgv‡`i KvQ †_‡K, †Zvgvw`‡Mi > †Zvgv‡`i †Zvgv mevKvi †Zvgvi Ze (c‡`¨) †Zvgvw`‡Mi > †Zvgv‡`i, †Zvgv mevKvi (c‡`¨) †Zvgvw`‡M‡Z, †Zvgvw`‡Mi g‡a¨, †Zvgvw`‡M‡Z, †Zvgvw`‡Mi g‡a¨, †Zvgv‡`i g‡a¨ †Zvgv‡`i g‡a¨

†m
KviK KZ©v Kg© m¤cÖ`vb KiY Acv`vb m¤^Ü AwaKiY †m I Zvnv‡K > Zv‡K GKePb eûePb Zvnviv > Zviv, Zviv me Zvnvw`M‡K > Zv‡`‡K, Zv‡`i‡K

Zvnv Øviv, Zvnvi Øviv, Zvnv‡K w`‡q, Zvnvw`M Øviv, Zvnv‡`i Øviv, Zv‡`i w`‡q Zv‡K w`‡q Zvnv nB‡Z, Zvnvi wbKU nB‡Z, Zvi Zvnvw`M nB‡Z, Zvnvw`‡Mi wbKU nB‡Z KvQ †_‡K, Zvi KvQ †_‡K Zvnvi, Zvi, Zm¨ Zv‡`i KvQ †_‡K, Zvnvw`‡Mi, Zvnv‡`i > Zv‡`i Zvnv‡Z, Zvnvi g‡a¨ > Zv‡Z, Zvi Zvnvw`‡M‡Z, Zvnvw`‡Mi g‡a¨ g‡a¨

kãi~c

41

5.4 we‡kl‡Yi ÔZiÕ I ÔZgÕ
ÔÑZiÕ Av‡cw¶K DrKl©evPK ev AcKl©evPK cÖZ¨q Ges ÔÑZgÕ eû e¯‘ ev e¨w³i g‡a¨ GKR‡bi me©vwaK DrKl© ev AcKl©‡evaK cÖZ¨q| `yywU e¯‘ ev e¨w³i g‡a¨ Zzjbv Ki‡Z ms¯‹…‡Zi wbqgvbymv‡i we‡kl‡Yi m‡½ ÔÑZiÕ cÖZ¨q hy³ nq Ges `y‡qi †ewk e¨w³ ev e¯‘i g‡a¨ Zzjbv †evSv‡Z we‡kl‡Yi m‡½ hy³ nq ÔÑZgÕ cÖZ¨q| †gvUK_v, ms¯‹…Z wbqg Abyhvqx `y‡qi g‡a¨ Zzjbv Ki‡Z n‡j we‡kl‡Yi m‡½ ÔÑZiÕ Ges eûi m‡½ Zzjbv Ki‡Z n‡j ÔÑZgÕ †hvM nq| ÔZiÕ Ges ÔZgÕ G `ywU cÖZ¨q‡K GKÎ K‡i n‡q‡Q⎯ ÔZiZgÕ Ñ hvi A_© ÔKg-†ewkÕ| j¶Yxq ÔZviZg¨Õ kãwUI ÔZiZgÕ †_‡K ˆZwi| †hgb : ZiZg + h = ZviZg¨|

ÔZiÕ Ges ÔZgÕ -Gi cÖ‡qvM g~j we‡klY kã e„nr ¶y`ª gnr KwVb RwUj `xN© cÖk¯— ÔÑZiÕ ÔÑZgÕ Gi ev‡K¨ cÖ‡qvM 1. P›`ª c„w_ex A‡c¶v ¶y`ªZi| 2. wngvjq c„w_exi D”PZg ce©Z| 3. mvnviv we‡k¦i `xN©Zg mgy`ª‰mKZ| 4. K·evRvi we‡k¦i `xN©Zg mgy`‰mKZ| 5. gvjØxc evsjv‡`‡ki †P‡q ¶y`ªZi| 6. MxZv wgZv A‡c¶v AwaKZi †gavex| 7. †gNbv evsjv‡`‡ki `xN©Zg b`x| e„nËi ¶y`ªZi gnËi KwVbZi RwUjZi `xN©Zi cÖk¯—Zi Zi-†hv‡M e„nËg ¶y`ªZg gnËg KwVbZg RwUjZg `xN©Zg cÖk¯—Zg Zg-†hvM

42

evsjv e¨vKiY I wbwg©wZ

(L) ÔZviZvg¨Õ †evSv‡Z ms¯‹…Z Cqm& (`yB‡qi g‡a¨) I Bô (eûi g‡a¨) cÖZ¨q e¨eüZ nq| †hgb : g~j we‡klY kã ¸i“ e„× ejer Cqm&-†hv‡M Mixqm& > Mixqvb elx©qm& > elx©qvb ejxqm& > ejxqvb Bô-†hv‡M Mwiô †R¨ô ewjô

we‡kl‡Yi ZviZg¨ †evSv‡bvi Rb¨ ms¯‹…Z ixwZ LuvwU evsjv‡ZI cÖPwjZ| Z‡e evsjv fvlvi wKQz wbR¯^ ixwZI Av‡Q| `y‡qi g‡a¨ Zzjbvq †P‡q, PvB‡Z, A‡c¶v cÖf…wZ Abym‡M©i e¨envi nq| †hgb: †Rg&‡mi †P‡q †hv‡md †ewk ejevb| ivg A‡c¶v k¨vg eyw×gvb| eûi m‡½ Zzjbvq Ôme©v‡c¶vÕ, Ôme‡P‡qÕ, ÔmePvB‡ZÕ, ÔmK‡ji g‡a¨Õ, Ômevi PvB‡ZÕ cÖf…wZ e¨eüZ nq| †hgb: cïi g‡a¨ n¯—x me©v‡c¶v e„nr| Mv‡Qi g‡a¨ eUMvQ me‡P‡q wekvj| mePvB‡Z fv‡jv †LRyi im Avi kx‡Zi wcVv|

6. kãMVb kã GK ev GKvwaK aŸwbi mgš^‡q ˆZwi A_©‡evaK I D”PviY‡hvM¨ GKK‡K ejv nq kã| A_©vr aŸwbi A_©c~Y© wgjb NU‡j Zv‡K kã e‡j| †hgb : ÔKÕ, ÔjÕ Ges ÔgÕ wZbwU aŸwb| G aŸwb wZbwUi wgwjZ i~c n‡jv ÔKjgÕ| ÔKjgÕ Ggb GKwU e¯‘‡K †evSv‡”Q, hv w`‡q †jLv hvq| ÔKjgÕÑ ÔKÕ, ÔjÕ, ÔgÕ aŸwbmgwói wgwjZ i~c, hv A_©c~Y©| myZivs ÔKjgÕ k‡ãi ⎯ GKwU `„óvš—| k‡ãi MVb MVbMZ w`K †_‡K kã `ywU †kªwY‡Z wef³ : K. †gŠwjK kã I L. mvwaZ kã| K. †gŠwjK kã : †hme kã we‡k−lY Kiv hvq bv ev †f‡O Avjv`v Kiv hvq bv, †m¸‡jv‡K †gŠwjK kã e‡j| †hgb : Avg, eB, Kjg BZ¨vw`| †gŠwjK kã MV‡bi cÖ_g Dcvq e‡Y©i m‡½ eY© †hvM| †hgb :

kãi~c Av + g = Avg e + B = eB K + j + g = Kjg BZ¨vw`|

43

cÖm½Z D‡j−L¨ ¯^ie‡Y©i msw¶ß i~c‡K ÔKviÕ Ges e¨Äbe‡Y©i msw¶ß i~c‡K ÔdjvÕ ejv nq| mij e‡Y©i m‡½ ÔKviÕ ev ÔdjvÕ †hvM K‡i kã MVb Kiv hvq| wb‡P ÔKviÕ I ÔdjvÕ †hv‡M kã MV‡bi D`vniY cÖ`Ë n‡jv : ÔKviÕ †hvM K‡i K& + A = K, j& + Av = jv `y‡Uvi wgj‡b K + jv = Kjv Dchy©³ D`vni‡Y K&-Gi m‡½ ÔAÕ hy³ n‡q cÖ_‡g ÔKÕ n‡q‡Q Ges j&-Gi m‡½ ÔAvÕ hy³ n‡q ÔjvÕ n‡q‡Q| ÔKÕ I ÔjvÕ wgwjZ n‡q ÔKjvÕ kãwU MwVZ n‡q‡Q| D‡j−L¨ A-Gi †Kv‡bv msw¶ß i~c †bB| AÑe¨Ä‡bi m‡½ Aš—jx©b n‡q hvq| †hgb : K& + A = K, L& + A = L| ÔdjvÕ †hvM K‡i hÑdjv (¨) iÑdjv ( ª) g-djv ( ¥ ) : : : K& + h K& + i Z& + g `& + g n& + g eÑdjv ( ) : m& + e k& + e = K¨| = µ| = Z¥| = Ù| = þ| = ¯^| = k¦| D`vniY : evK¨, HK¨, AvwaK¨| D`vniY : Pµ, eµ| D`vniY : AvZ¥| D`vniY : cÙ| D`vniY : eªvþY| D`vniY : wbt¯^| D`vniY : Ak¦, wek¦|

i-Gi Av‡iKwU msw¶ß i~c n‡”Q †id [ ©]| †id e‡Y©i kx‡l© hy³ nq| †hgb : K©| D`vniY : AK©, ZK©, mZK©| L. mvwaZ kã : †hme kã‡K we‡k−lY Ki‡j Avjv`v A_©‡evaK kã cvIqv hvq, †m¸‡jv‡K mvwaZ kã e‡j| mvaviYZ †Kv‡bv †gŠwjK ev wfwË k‡ãi m‡½ wewfbœ e¨vKiwYK Dcv`vb hy³ n‡q mvwaZ kã MwVZ nq| k‡ãi A_©-ˆewP‡Î¨i Rb¨ bvbvfv‡e k‡ãi i~c-i~cvš—i mvab Kiv nq| wewfbœ A‡_© e¨env‡ivc‡hvMx K‡i †Kv‡bv kã ev kãvs‡ki m‡½ Ab¨ kã ev kãvs‡ki wgj‡b bZzb bZzb kã MwVZ n‡q _v‡K|

44

evsjv e¨vKiY I wbwg©wZ

ÔkãMVbÕ ej‡Z mvaviYfv‡e Avgiv kã m„wói cÖwµqv‡K ey‡S _vwK| evsjv fvlv GKwU MwZkxj fvlv| we‡k¦i Hk¦h©gwÊZ Acivci fvlvi g‡Zv evsjv fvlvi kãm¤¢vi Kv‡ji MwZavivq wewfbœ Dcv‡q MwVZ bZzb bZzb kã Øviv mg„× n‡q‡Q| bZzb kãMV‡bi ixwZwm× GB cÖwµqv‡K kãMVb ejv nq| DcmM©, cÖZ¨q, mwÜ, mgvm cÖf…wZ Dcv‡q kã MwVZ nq| †hgb : 1. DcmM©‡hv‡M kã MVb : k‡ãi c~‡e© DcmM© hy³ n‡q bZzb A_©‡evaK kã MwVZ nq| †hgb : A + †Pbv cÖ + fvZ Kvi + Lvbv = A‡Pbv = cÖfvZ = KviLvbv Abv + e„wó cÖwZ + ev` Mi + wgj = Abve„wó = cÖwZev` = Miwgj

2. mwÜi mvnv‡h¨ kã MVb : ci¯úi mwbœwnZ `ywU aŸwbi wgj‡b ev cwieZ©‡b bZyb kã MwVZ nq| †hgb : we`¨v + Avjq BwZ + Avw` †bŠ + BK = we`¨vjq = BZ¨vw` = bvweK iwe + B›`ª w`K& + Aš— cwi + Q` = iex›`ª = w`Mš— = cwi”Q`

3. cÖZ¨q‡hv‡M kã MVb : kã ev avZzi c‡i cÖZ¨q hy³ n‡q bZzb kã MwVZ nq| †hgb : wgVv + AvB Pj& + Aš— wegvb + BK = wgVvB = Pjš— = ˆegvwbK Kzmyg + BZ K… + Ze¨ gby + A = KzmywgZ = KZ©e¨ = gvbe

4. mgv‡mi mvnv‡h¨ kã MVb : ci¯úi m¤úK©hy³ `yB ev Z‡ZvwaK c‡`i GKc‡` cwiYZ nIqvi gva¨‡g bZzb kã MwVZ nq| †hgb : gvZv I wcZv w`b w`b = gvZv-wcZv = cÖwZw`b wmsn wPwýZ Avmb = wmsnvmb welv` i~c wmÜz = welv`wmÜz

5. c` cwieZ©‡bi mvnv‡h¨ kã MVb : c` cwieZ©‡bi gva¨‡gI bZzb kã MwVZ nq| †hgb : A½ (we‡kl¨) > Avw½K (we‡klY)| ce©Z (we‡kl¨) > cve©Z¨ (we‡klY)| G Qvov kã‰ØZ Ges cÖev`-cÖeP‡bi mvnv‡h¨I kã MVb Kiv hvq| evsjv fvlvq kã MV‡bi wbqg Rvbv _vK‡j †Kvb kã e¨vKiYMZ †Kvb †kªwY‡Z c‡o †m m¤ú‡K© aviYv jvf Kiv hvq Ges eûj cÖPwjZ k‡ãi e`‡j bZzb bZzb kã MVb K‡i fve cÖKv‡ki †¶‡Î ˆewPΨ m„wó Kiv hvq| m‡e©vcwi fvlv‡K ï×fv‡e ej‡Z, co‡Z, wjL‡Z Ges fvlvi kãfvÊvi‡K mg„× Ki‡Z kãMVb m¤ú‡K© my¯úó aviYv

kãi~c _vKv cÖ‡qvRb|

45

we‡kl‡Yi ZviZg¨ †Kv‡bv e¨w³ ev e¯‘i m‡½ Aci e¨w³ ev e¯‘i we‡kl ¸Y, Ae¯’v BZ¨vw` Zzjbv Kiv hvq| Gfv‡e Zzjbvq fv‡jv-g›`, Kg-†ewk ev DrKl©-AcKl© †evSv‡bv n‡q _v‡K| G ai‡bi Zzjbv Kiv‡K we‡kl‡Yi ZviZg¨ e‡j| we‡kl‡Yi ZviZg¨ cÖKv‡ki Rb¨ evsjv I ms¯‹…Z `ywU ixwZ Av‡Q| evsjv ixwZ (K) `yB‡qi g‡a¨ Zzjbvq, hvi m‡½ Zzjbv Kiv nq Zvi c‡i ÔA‡c¶vÕ, Ô†P‡qÕ cÖf…wZ AbymM© hy³ nq| †hgb: PvUMuvi †P‡q XvKv eo kni| iƒcv A‡c¶v †mvbv `vwg BZ¨vw`| (L) eûi g‡a¨ Zzjbvq GKwUi DrKl© ev AcKl© Rvb‡Z n‡j Ôme©v‡c¶vÕ, Ôme‡P‡qÕ, ÔmK‡ji †P‡qÕ BZ¨vw` c` ev evK¨vsk e¨eüZ nq| †hgb : G QvÎwU me‡P‡q fv‡jv| †m mK‡ji †P‡q fv‡jv †j‡L BZ¨vw`| ms¯‹…Z ixwZ (K) `yB‡qi gv‡S Zzjbvq we‡klY k‡ãi †k‡l ÔZiÕ cÖZ¨q Ges `yB‡qi †ewki gv‡S Zzjbvq ÔZgÕ cÖZ¨q hy³ nq| †hgb : evN A‡c¶v nvwZ e„nËi| Muv‡q wZwbB weÁZg| K‡qKwU `„óvš— : g~j we‡kl‡Yi kã ¶z`ª `xN© gnr e„nr cÖk¯— Zi-†hv‡M ¶z`ªZi `xN©Zi gnËi e„nËi cÖk¯—Zi Zg-†hv‡M ¶z`ªZg `xN©Zg gnËg e„nËg cÖk¯—Zg

6.1 DcmM©‡hv‡M kãMVb evsjv fvlvq Ggb KZK¸‡jv Ae¨qm~PK kãvsk Av‡Q, †h¸‡jv KL‡bvB ¯^vaxb c` wn‡m‡e ev‡K¨ e¨eüZ n‡Z cv‡i bv| e¯‘Z, †hme Ae¨q-kã avZz ev bvg k‡ãi c~‡e© e‡m k㸇jvi A‡_©i m‡¼vPb, m¤cÖmviY ev Ab¨ †Kv‡bv cwieZ©b mvab K‡i, H me Ae¨q kãB DcmM©bv‡g cwiwPZ| D`vniY wn‡m‡e D‡j−L Kiv hvq : †hgb ÔfvZÕ GKwU kã| Gi c~‡e© ÔcÖÕ Ae¨qwU hy³ n‡j nq ÔcÖfvZÕ⎯hvi A_© ÔcÖZy¨lÕ ev ÔcÖvZtKvjÕ| ÔbvgÕ k‡ãi c~‡e© ÔcÖÕ †hvM Ki‡j nq ÔcÖYvgÕ ⎯ hvi A_© ÔAwfev`bÕ ev Ôbg¯‹viÕ| ÔMwZÕ k‡ãi c~‡e© ÔcÖÕ †hvM Ki‡j nq ÔcÖMwZÕ ⎯ hvi A_© ÔmvgvwRK AMÖMwZÕ ev Ômg„w×Õ| GLv‡b GKB DcmM© GKvwaK A_©‡`¨vZbvi m„wó K‡i‡Q| Avevi DcmM©‡f‡` k‡ãi A_© m¤ú~Y© e`‡j †h‡Z cv‡i| †hgb : ÔbvgÕ k‡ãi c~‡e© ÔmyÕ DcmM© hy³ n‡j nq ÔmybvgÕ| Ôe`Õ

46

evsjv e¨vKiY I wbwg©wZ

DcmM© hy³ n‡j nq Ôe`bvg|Õ j¶Yxq †h ÔmybvgÕ I Ôe`bvgÕ ⎯G kã `y‡Uvi A_© m¤ú~Y© Avjv`v| Gfv‡e wewfbœ kã ev avZzi c~‡e© wewfbœ Ae¨qm~PK kãvsk hy³ n‡q bZzb bZzb kã ˆZwi K‡i| msÁv : †hme Ae¨qm~PK kãvsk avZz ev k‡ãi c~‡e© hy³ n‡q bZzb kã MVbc~e©K A‡_©i m¤úªmviY, ms‡KvPb ev cwieZ©b mvab K‡i, Zv‡`i‡K DcmM© e‡j| cÖvgvY¨ msÁv kã ev avZzi Avw`‡Z hv †hvM nq Zv‡K e‡j DcmM©| ⎯ W±i iv‡gk¦i kÕ wb‡P ÔbvgÕ g~j k‡ãi m‡½ wewfbœ DcmM©‡hv‡M kãMV‡bi GKwU †jLwPÎ cÖ`Ë n‡jv : DcmM© cÖ cwi my e` bvg (bvg) g~jkã

DcmM©‡hv‡M MwVZ kã cÖYvg cwiYvg mybvg e`bvg

Dcm‡M©i Kvh©vewj : DcmM© GKai‡bi Dcm„wó| DcmM©‡hv‡M k‡ãi †h ai‡bi cwieZ©b N‡U Zv cÖavbZ wbgœi~c : 1. bZzb A_©‡evaK kã ˆZwi nq 2. k‡ãi A‡_©i c~Y©Zv mvwaZ nq 3. k‡ãi A‡_©i m¤úªmviY N‡U 4. k‡ãi A‡_©i ms‡KvPb N‡U Ges 5. k‡ãi A‡_©i cwieZ©b mvwaZ nq| Dcm‡M©i A_©‡`¨vZKZv Dcm‡M©i wbR¯^ †Kv‡bv A_© †bB wKš—z Giv A‡_©i †`¨vZK| DcmM© Ab¨ kã ev avZzi c~‡e© hy³ n‡q bZzb kã ˆZwi ev k‡ãi A‡_©i m¤úªmviY, ms‡KvPb ev cwieZ©b NUv‡Z cv‡i| †hgb : nv A + fvZ = nvfvZ (bZzb kã) + fve = Afve (A‡_©i ms‡KvPb) cwi + c~Y© = cwic~Y© (A‡_©i m¤úªmviY) Dc + K_v = DcK_v ( A‡_©i cwieZ©b) wKš—z ÔnvÕ, ÔcwiÕ, ÔAÕ, ÔDcÕ ÑG¸‡jvi Avjv`v †Kv‡bv A_© †bB| kã ev avZzi m‡½ hy³ bv n‡j DcmM©

kãi~c

47

†Kv‡bv A_© cÖKvk Ki‡Z cv‡i bv| A_©vr DcmM© ¯^vaxbfv‡e e¨eüZ n‡q A_©‡`¨vZbv m„wó Ki‡Z A¶g| wKš—z hLbB Giv avZz ev k‡ãi c~‡e© e‡m, ZLbB G‡`i A_©‡`¨vZKZv kw³ m„wó nq| †hgb : ÔnviÕ kãwUi c~‡e© wewfbœ DcmM© †hv‡M A‡bK¸‡jv A_©‡`¨vZK kã MwVZ n‡Z cv‡i :

DcmM© Av Abv cÖ cwi Dc we

g~j kã

nvi

DcmM©‡hv‡M MwVZ kã Avnvi (†fvRb) Abvnvi (Dcevm) cÖnvi (wbMÖn) cwinvi (eR©b) Dcnvi (Dc‡XŠKb) wenvi (ågY)

Dc‡ii †jLwP‡Î Av, Abv, cÖ, cwi, Dc, we DcmM©¸‡jvi ¯^vaxb †Kv‡bv A_© †bB| wKš‘ G DcmM©¸‡jv ÔnviÕ k‡ãi c~‡e© hy³ n‡q A_©‡evaK GKvwaK kã ˆZwi K‡i‡Q| myZivs ejv hvq Dcm‡M©i ¯^vaxb †Kv‡bv A_© †bB wKš—z A_©‡`¨vZKZv Av‡Q| Dcm‡M©i cÖ‡qvRbxqZv evsjv fvlvq DcmM© LyeB ¸i“Z¡c~Y© Dcv`vb| DcmM© kã ev avZzi c~‡e© e‡m bZzb kã MVb K‡i Ges A‡_©i ms‡KvPb, m¤úªmviY ev cwieZ©b NUvq| DcmM© bZzb kã m„wó K‡i fvlvi kãfvÊvi‡K mg„× K‡i| e¯‘Z kãMVb I A‡_©i w`K †_‡K ˆewPΨ m„wó KivB Dcm‡M©i KvR| DcmM© A_©nxb n‡jI G‡`i mv_©K cÖ‡qv‡M fvlvi Af¨š—ixY kw³ I Hk¦h© e„w× cvq| Dcm‡M©i †kªwYwefvM DcmM© wZb cÖKvi| †hgb : 1. evsjv DcmM©, 2. Zrmg (ms¯‹…Z) DcmM© I 3. we‡`wk (ˆefvwlK) DcmM©|

1. evsjv DcmM© evsjv DcmM© †gvU GKzkwU : A, ANv, AR, Abv, Av, Avo, Avb, Ave, BwZ, Dbv (Dbv), K`, Kz, wb, cvwZ, we, fi, ivg, m, mv, my, nv|

48 evsjv DcmM©‡hv‡M kã MVb : DcmM© A ANv AR Abv Av Avo Avb Ave BwZ Db (Dbv) K`& Kz wb cvwZ we fi ivg m mv my nv D`vniY

evsjv e¨vKiY I wbwg©wZ

AKvR, AwPb, ARvbv, ALywk, A‡Pbv, Awgj, AKvj, A‡ejv, Abo| ANvPÊx, ANvivg| ARcvovMuv, ARg~L, ARcyKzi| © Abve„wó, Abv`i, Abv`vq, Abvm„wó, AbvPvi, Abvgy‡Lv, Abv`i, Abv`vq| AvKuvov, Av‡avqv, Avjywb, Avgvcv, AvNvUv, AvKvU, AvKvj, AvKvVv| Avo‡Pv‡L, Avobq‡b, Avocvjv, Avo ¶¨vc¨v, Avo‡Kvjv, AvoMov| Avb‡Kviv, AvbPvb, Avbgbv| AveQvqv, AveWvj| BwZKZ©e¨, BwZc~‡e©, BwZK_v, BwZnvm| DbcuvRy‡i, Dwbk, Dbel©v| K`‡ej, K`h©, K`vKvi| KzAf¨vm, KzK_v, Kzm½, KzbRi, KzKvg, Kzhk| wbLuyZ, wb‡LuvR, wbLiPv, wbfvuR, wb‡iU, wbjvR, wb‡Uvj, wb‡iU| cvwZKvK, cvwZnuvm, cvwZ‡jey, cvZKzqv| wef~uB, wedj, wec_, we‡`k, we‡Rvo| ficyi, fi‡cU, fi`ycyi, fimܨv, fiw`b, fimuvS| ivgQvMj, ivg`v| mwVK, mie, mjvR, mUvb, m‡Rvi, m‡L`, mÁvb| mv‡Rvqvb, mvwRiv| myLei, myw`b, mybRi, mybvg, my‡WŠj| nvwc‡Z¨k, nvfv‡Z, nvN‡i, nvûZvk|

kãi~c ev‡K¨ evsjv DcmM©hy³ k‡ãi cÖ‡qvM 1. 2. 3. 4. 5. 6. 7. 8. 9. A ANv AR Abv Av Avo Avb Ave BwZ : †jvKwU Avgvi A‡Pbv| : ANvivg e‡jB †m Ggb KvÊ K‡i e‡m‡Q| : ARcvovMuv‡q wk¶vi Av‡jv Qwo‡q w`‡Z n‡e| : Abve„wó‡Z G eQi dm‡ji we¯—i ¶wZ n‡q‡Q| : Av‡avqv †c−‡U Lvevi †L‡Z †bB| : wgZv wiZvi w`‡K Avo‡Pv‡L ZvwK‡q Av‡Q| : mš—v‡bi Rb¨ gv‡qi gb memgqB AvbPvb K‡i| : Avov‡j AveWv‡j Kv‡iv mgv‡jvPbv Ki‡Z †bB| : BwZnvm †_‡K mK‡jiB wk¶v †bIqv DwPZ| : ÔDbvfv‡Z `ybv ej|Õ : K`‡e‡j cÖPzi wfUvwgb Av‡Q| : Kzm½ Kzdj e‡q Av‡b| : †g‡qwUi m~wPKg© LyeB wbLuyZ| : wS‡ji R‡j cvwZnuvm †f‡m †eov‡”Q| : mvabv KL‡bv wed‡j hvq bv| : GLb fi`yci, GKUz c‡i †ei nI| y : ivgQvM‡ji ev”PvUv wZwos wewos K‡i jvdv‡”Q| : mwVK Dˇi wUKwPý `vI| : jovB‡q wRZ‡Z n‡j mv‡Rvqvb †jvKB cÖ‡qvRb| : mrKg© mybvg e‡q Av‡b| : nvfv‡Z †Q‡jUvi Rb¨ gv‡qi KZ nvwc‡Z¨k|

49

10. Db/Dbv 11. K`& 12. Kz 13. wb 14. cvwZ 15. we 16. fi 17. ivg 18. m 19. mv 20. my 21. nv

2. Zrmg ev ms¯‹…Z DcmM© evsjv fvlvq eû ms¯‹…Z kã AweK…Zfv‡e e¨eüZ n‡”Q| †mB m‡½ Zrmg DcmM©I ms¯‹…Z k‡ãi c~‡e© e‡m bZzb kã ˆZwi K‡i A‡_©i ms‡KvPb ev m¤úªmviY NUv‡”Q| D‡j−L¨ LuvwU evsjv DcmM© †hgb LuvwU

50

evsjv e¨vKiY I wbwg©wZ

evsjv k‡ãi c~‡e© e‡m, †Zgwb Zrmg DcmM©I Zrmg (ms¯‹…Z) k‡ãi c~‡e© e‡m| Zrmg ev ms¯‹…Z Dcm‡M©i msL¨v wekwU : cÖ, civ, Ac, mg, wb, Aby, Ae, wbi, `yi, we, Awa, my, Dr, cwi, cÖwZ, AwZ, Awc, Awf, Dc, Av| Zrmg ev ms¯‹…Z DcmM©‡hv‡M kãMVb : DcmM© cÖ civ Ac mg& wb Aby Ae wbi& `yi& we Awa my Dr cwi cÖwZ Awf AwZ Awc Dc Av : : : : : : : : : : : : : : : : : : : : D`vniY cÖKvk, cÖfvZ, cÖPjb, cÖMwZ, cÖnvi, cÖZvc, cÖfve, cÖ‡Póv, cÖ‡ek, cÖPvi, cÖkvLv, cÖ`vb| civgk©, civaxb, civµg, civKvôv, civqY, civRq, civfe| Acgvb, AcKvi, AcPq, Acev`, AcKg©, Ace¨q, Achk, Ace¨vL¨v, AcmviY, Acg„Zz¨| mgv`i, mgvMZ, m¤§yL, m¤ú~Y©, msev`, mshg, m¤§vb, mgwaK| wb_i, wbevm, wbMg, wbPq, wbe„wË, wbeviY, wb`vN, wbM~p, wb®‹jyl, wb®‹vg| AbyZvc, AbyMÖn, AbyMvgx, AbyR, AbyPi, Abyev`, Abyi~c, AbyKiY, AbymiY, Aby¶Y| AeKvk, Aemi, AeÁv, Aegvbbv, AeMZ, AeMvnb, Ae‡iva, AeZiY, Ae‡ivnY| wbi¶i, wbRx©e, wbin¼vi, wbav©iY, wb‡`©k, wbY©q, wbf©q, wbM©Z, wbev©mb, wbix¶Y, wbi¼zk| `yfvM¨, `y`©kv, `yb©vg, `yjf, `yMg, `yR©q, `yN©Ubv, `yw`©b, `ybx©wZ, `yej, `y‡h©vM| © © © © weRq, wec¶, weÁvb, weï×, weﮋ, weeY©, wek„•Lj, wedj, wePiY, we‡¶c, weKvi, wech©q| AwaKvi, AwacwZ, Awaevmx, AwaKZ©v, Awa‡ekb, Awael©, AwabvqK, AwaKZ©v, Awaôvb| myKÉ, myKw… Z, mybxj, myMg, myjf, myKwVb, myaxi, myPZzi, myig¨, mywbcyY, my`~i, myPwiÎ| Drme, Drw¶ß, D`MÖxe, D‡Ëvjb, DËß, Drdzj−, DrmyK, Drcv`b, D”PviY, D‡Ïk¨| cwicK¡, cwic~Y©, cwigvY, cwi‡kl, cwimxgv, cwikªg, cwiZvc, cwiPvjK, cwi`k©b| cÖwZ`vb, cÖwZKvi, cÖwZwµqv, cÖwZev`, cÖwZ‡ekx, cÖZx¶v, cÖwZg~wZ©, cÖwZaŸwb, cÖwZw`b| Awfe¨w³, AwfÁ, Awff‚Z, Awfavb, Awfbq, Awfhvb, Awfmvi, AwfgyL, Awfev`b| AwZKvq, AZ¨vPvi (AwZ + AvPvi), AwZkq, AwZµg, AwZwi³, AZ¨š— (AwZ + Aš—)| AwcwbwnZ, AwcwbwnwZ, Awcavb| DcKvi, DcK~j, DcKÉ, DcØxc, Dceb, DcMÖn, DcmvMi, Dc‡bZv, Dcbqb (ˆcZv)| AvKÉ, AvgiY, Avmgy`ª, Avi³, Avfvm, Av`vb, AvMgb, AvMÖn, Avnvi, Avi³|

kãi~c ev‡K¨ Zrmg ev ms¯‹…Z DcmM©h³ k‡ãi cÖ‡qvM y cÖ civ Ac mg& wb Ae Aby wbi `yi we my Dr Awa cwi cÖwZ Dc Awf Awc AwZ Av : : : : : : ÔcÖfv‡Z DwVj iwe †jvwnZ eiY|Õ ÔcivR‡q W‡i bv exi|Õ Ace¨q `vwi`ª¨ †W‡K Av‡b| AwZw_ mgv`‡i Kvc©Y¨ AbywPZ| GLbB e„wó bvg‡e, Zv‡K †h‡Z wbeviY Ki| mgv‡Ri Kj¨v‡Y cÖ‡Z¨‡KiB Ae`vb ivLv DwPZ |

51

: AbyMn K‡i GKUz evB‡i Avmyb| Ö : ¸iyR‡bi wb‡`©k Agvb¨ K‡iv bv| : `yRb weØvb n‡jI cwiZ¨vR¨| © : : : : : : : : : : : j¶ cÖv‡Yi wewbg‡q Avgiv weRq wQwb‡q G‡bwQ| myRjv-mydjv km¨-k¨vgjv Avgv‡`i GB evsjv‡`k| Pvwl‡`i N‡i N‡i bev‡bœi Drme| wb‡Ri AwaKvi wb‡R‡KB ey‡S wb‡Z n‡e| wnsmvi cwiYvg KL‡bvB fv‡jv nq bv| Ab¨v‡qi cÖwZev` Ki‡Z n‡e| DcKvixi DcKvi ¯^xKvi Kiv DwPZ| dinv` mv‡ne GKRb AwfÁ wk¶K| AwcwbwnwZ aŸwb cwieZ©‡bi GKwU D‡j−L‡hvM¨ wbqg| el©vKv‡j AwZwi³ e„wócvZ nIqvB ¯^vfvweK| AvKÉ †fvR‡b ¯^v¯’¨nvwb N‡U|

Abykxjbx
1| DcmM© Kv‡K e‡j? D`vniY `vI| 2| Dcm‡M©i cÖ‡qvRbxqZv Kx? D‡j−L Ki| 3| DcmM© Kq cÖKvi I Kx Kx| 4| evsjv DcmM© KqwU? †h‡Kv‡bv cuvPwU evsjv DcmM© Øviv wZbwU K‡i kã ˆZwi Ki|

52

evsjv e¨vKiY I wbwg©wZ 5| Zrmg ev ms¯‹…Z DcmM© ej‡Z Kx †evS? Zrmg ev ms¯‹…Z DcmM© KqwU I Kx Kx? 6| cuvPwU we‡`wk Dcm‡M©i cÖ‡qvM †`wL‡q evK¨ iPbv Ki| 7| cuvPwU Aviwe I cuvPwU dviwm Dcm‡M©i Øviv GKwU K‡i kã ˆZwi Ki|

Kg©-Abykxjb
1| cÖ, Kvi, cÖwZ, Ae, Av, Awf, Aby, wd, A, Abv, ei, ivg, nv, Kg⎯ DcmM©¸‡jv wb‡Pi Q‡K mwVK †kªwY‡Z web¨¯— Ki| evsjv DcmM© Zrmg (ms¯‹…Z) DcmM© we‡`wk DcmM©

6.2 cÖZ¨q‡hv‡M kãMVb
K…r I Zw×Z `yai‡bi cÖZ¨qB kã MV‡bi mnvqK| Ôhv c‡i hy³ nq Zv-B cÖZ¨q|Õ myZivs †h eY© ev eY©mgwó avZz ev cÖvwZcw`‡Ki m‡½ hy³ n‡q bZzb kã MVb K‡i Zv-B cÖZ¨q| fvlvi mg„w× k‡ãi Dci wbf©ikxj| †h fvlvq hZ †ewk kã Av‡Q, †m fvlv ZZ †ewk mg„×| evsjv fvlvq kã MV‡bi GKwU Ab¨Zg ixwZ n‡”Q cÖZ¨q| wKš—z cÖZ¨‡qi wb‡Ri †Kv‡bv ¯^vaxb A_© †bB| msÁv : †h eY© ev eY©mgwó avZz ev k‡ãi c‡i hy³ n‡q bZzb A_©‡evaK kã MVb K‡i, Zv‡K cÖZ¨q e‡j| W±i gyn¤§` knx`yj−vn&i g‡Z, avZz ev k‡ãi DËi wfbœ wfbœ A‡_© †h eY© ev eY©mg~n hy³ nBqv kã cÖ¯—zZ nq, Zvnvw`M‡K cÖZ¨q e‡j| †hgb : nvZ + Av = nvZv; gby + A = gvbe; √Pj& + Aš— = Pjš—; √K… + AK = KviK| GLv‡b, Ô AvÕ, ÔAÕ, ÔAš—Õ, Ges ÔAKÕ -G¸‡jv cÖZ¨q| ÔnvZÕ, ÔgbyÕ bvg-cÖK…wZ Ges Pj&Õ, ÔK…Õ wµqvcÖK…wZ| cÖZ¨‡qi †kªwYwefvM : cÖZ¨q cÖavbZ `yB cÖKvi| h_v : 1. K…r cÖZ¨q I 2. Zw×Z cÖZ¨q|

K…r cÖZ¨q : avZzi c‡i †h cÖZ¨q hy³ n‡q bZzb kã MVb K‡i, Zv‡K K…r cÖZ¨q e‡j| †hgb : √ai& + Av = aiv √Wze& + Dix = Wzeix y √`„k& + h = `„k¨ BZ¨vw`|

kãi~c Zw×Z cÖZ¨q : k‡ãi c‡i †h cÖZ¨q hy³ n‡q bZzb kã MVb K‡i Zv‡K Zw×Z cÖZ¨q e‡j| †hgb : evN + Av = evNv †mvbv + Avwj = †mvbvwj mßvn + BK = mvßvwnK BZ¨vw`|

53

K…r cÖZ¨q Ges Zw×Z cÖZ¨‡qi g‡a¨ Avevi fvM i‡q‡Q : K…r cÖZ¨q `ycÖKvi| h_v : K. ms¯‹…Z K…r cÖZ¨q I L. evsjv K…r cÖZ¨q| Zw×Z cÖZ¨q wZb cÖKvi| h_v : K. ms¯‹…Z Zw×Z cÖZ¨q; L. evsjv Zw×Z cÖZ¨q I M. we‡`wk Zw×Z cÖZ¨q| K. ms¯‹…Z K…r cÖZ¨q : ms¯‹…Z wbqgvbyhvqx H fvlvi avZzi m‡½ †hme ms¯‹…Z cÖZ¨q hy³ n‡q bZzb kã MwVZ nq, Zv‡`i ms¯‹…Z K…r cÖZ¨q e‡j| †hgb : √K… + Ze¨ = KZ©e¨; √`„k& + Ab = `k©b BZ¨vw`| evsjv K…r cÖZ¨q : ms¯‹…Z ev Zrmg avZz weewR©Z evsjv avZzi m‡½ cÖvK…Z fvlv †_‡K AvMZ †hme cÖZ¨q hy³ n‡q bZzb kã MwVZ nq, Zv‡`i evsjv K…r cÖZ¨q e‡j| †hgb : √ bvP& + Ab = bvPb; √Wze& + Aš— = Wzeš— BZ¨vw`| ms¯‹…Z Zw×Z cÖZ¨q : †h Zw×Z cÖZ¨q ms¯‹…Z ev Zrmg k‡ãi m‡½ hy³ n‡q bZzb kã MVb K‡i, Zv‡K ms¯‹…Z Zw×Z cÖZ¨q e‡j| †hgb : gby + ò = gvbe; †jvK + wòK = †jŠwKK BZ¨vw`| evsjv Zw×Z cÖZ¨q : evsjv fvlvq e¨eüZ ms¯‹…Z I we‡`wk cÖZ¨q e¨ZxZ evwK cÖZ¨q¸‡jv‡K evsjv Zw×Z cÖZ¨q e‡j| †hgb : evN + Av = evNv; Ni + Avwg = Nivwg BZ¨vw`| we‡`wk Zw×Z cÖZ¨q : k‡ãi †k‡l †hme we‡`wk cÖZ¨q hy³ n‡q bZzb kã MVb K‡i, Zv‡`i we‡`wk Zw×Z cÖZ¨q e‡j| †hgb : Wv³vi + Lvbv = Wv³viLvbv, awo + evR = awoevR BZ¨vw`|

L.

K. L. M.

cÖZ¨‡qi gva¨‡g kãMV‡bi †¶‡Î ÔcÖK…wZÕ I ÔcÖvwZcw`KÕ G `ywU welq m¤ú‡K© aviYv _vKv cÖ‡qvRb| cÖK…wZ : kã ev avZzi g~jB n‡”Q cÖK…wZ| A_©vr Ô†gŠwjK k‡ãi †h Ask‡K Avi †Kv‡bvfv‡eB we‡k−lY Kiv m¤¢e bq, Zv‡K ejv nq cÖK„wZ|Õ A_ev, fvlvq hvi we‡k−lY m¤¢e bq, Ggb †gŠwjK kã‡K cÖK…wZ e‡j| kã wKsev c` †_‡K cÖZ¨q I wefw³ AcmviY Ki‡j cÖK…wZ Ask cvIqv hvq| cÖK…wZ `ycÖKvi| h_v : (K) wµqv-cÖK…wZ ev avZz , (L) bvg-cÖK…wZ ev msÁv cÖK…wZ|

54

evsjv e¨vKiY I wbwg©wZ

(K) wµqv-cÖK…wZ : cÖZ¨q-wb®úbœ k‡ãi we‡k−l‡Y †gŠwjK fve-†`¨vZK †h Ask cvIqv hvq, Zv hw` Ae¯’vb, MwZ ev Ab¨ †Kv‡bv cÖKv‡ii wµqv †evSvq, Zv‡K wµqv-cÖK…wZ e‡j| †hgb : √Pj&, √co&, √ivL&, √`„k&, √K… cÖfw… Z wµqv-cÖK…wZ| [Pjš— = Pj& (wµqv-cÖK…wZ) + Aš— (cÖZ¨q)] (L) bvg-cÖK…wZ : cÖZ¨q-wb®úbœ k‡ãi we‡k−l‡Y †gŠwjK fve-†`¨vZK †h Ask cvIqv hvq, Zv hw` †Kv‡bv `ªe¨, RvwZ, ¸Y ev †Kv‡bv c`v_©‡K †evSvq, Zv‡K bvg -cÖK…wZ e‡j| †hgb : gv, Puv`, MvQ, cÖf…wZ bvg-cÖK…wZ| nvZj = nvZ ( bvg-cÖK…wZ) + Aj (cÖZ¨q) ] cÖvwZcw`K : wefw³nxb bvg kã‡K cÖvwZcw`K e‡j| †hgb : nvZ, eB, Kjg, gvQ BZ¨vw`| cÖZ¨q m¤ú‡K© ÁvZe¨ 1. wµqvevPK kãg~‡ji †¶‡Î avZz wPý (√) e¨eüZ nq| †hgb : √Pj& + Aš— = Pjš—; √cV& + AK = cvVK| 2. ÔavZzÕ I ÔcÖZ¨qÕÑDfq‡K GKm‡½ D”PviY Kivi mgq avZzi Aš—¨aŸwb Ges cÖZ¨‡qi Avw`aŸwb A‡bK †¶‡Î ci¯ú‡ii cÖfv‡e mgZv cÖvß nq| †hgb : √Kuv`& + bv = Kvbœv; √iuva& + bv = ivbœv| Dwj−wLZ D`vni‡Y avZzi Aš—¨aŸwb Ô`&Õ I Ôa&Õ cÖZ¨‡qi Avw`aŸwb ÔbÕ-Gi mgZv cÖvß n‡q‡Q| K…r Ges Zw×Z cÖZ¨‡qi msL¨v A‡bK| wb‡P cª‡qvRbxq wKQymsL¨K cÖZ¨‡qi gva¨‡g kã MV‡bi D`vniY cÖ`Ë n‡jv : K. ms¯‹…Z K…r cÖZ¨q‡hv‡M kãMVb 1. A (AP&) √cV& + A = cvV 2. Abxq (Abxqi&) √K… + Abxq = KiYxq √¯§„ + Abxq = ¯§iYxq 3. wZ (w³) √K… + wZ = K…wZ √wR + A = Rq √cv + Abxq = cvbxq √`„k& + Abxq = `k©bxq √K…l& + wZ = K…wó √`„k& + wZ = `„wó

√K…Z& + wZ = KxwZ©

L. evsjv K…r cÖZ¨q
1. A √Kuv`& + A = Kuv` √ai& + A = ai √Pj& + A = Pj √co& + A = co √Kuv`& + Ab = Kuv`b √bvP& + Ab = bvPb

2. Ab > Ib

kãi~c 3. AvBZ 4. Avwb √WvK& + AvBZ = WvKvBZ > WvKvZ √R¡vj& + Avwb = R¡vjvwb √†me& + AvBZ = †mevBZ > †mev‡qZ √Lv + DKv = LvDKv > †L‡Kv √KvU& + wZ = KvUwZ

55

√SuvK& + Avwb = SuvKvwb √wbo& + Avwb = wbovwb

5. DK, DKv √wgk& + DK = wgïK 6. wZ √DV& + wZ = DVwZ √NvU& + wZ = NvUwZ

K. ms¯‹…Z Zw×Z cÖZ¨q
1. A (ò, AY&) gby + A = gvbe `by + A = `vbe gay + A = gvae

2. Avqb (òvqb&, dK&) bi + Avqb = bvivqY Øxc + Avqb = ˆØcvqb ivg + Avqb = ivgvqY 4. BK (wòK, VK&) 5. C (Bb, Bbx) 6. Cq (òxq, Q) Rj + Cq = Rjxq 7. Z¡ gvZ… + Z¡ = gvZ…Z¡ AvZ¥b& + Cq = AvZ¥xq gvbe + Cq = gvbexq gbyl¨ + Z¡ = gbyl¨Z¡ åvZ… + Z¡ = åvZ…Z¡ i~c + evb = i~cevb ivóª + Cq = ivóªxq A¶i + BK = Av¶wiK BwZnvm + BK = HwZnvwmK ab + C = abx myL + C = myLx el© + BK = evwl©K n¯— + C = n¯—x

8. evb (eZzc&)

ab + evb = abevb

Ávb + evb = Ávbevb

9. gvb& (gr, gZzc&) eyw× + gvb& = eyw×gvb ax + gvb& = axgvb kw³ + gvb& = kw³gvb

L. evsjv Zw×Z cÖZ¨q
1. AK 2. Aj †Xvj + AK = †XvjK nvZ + Aj = nvZj †bvj + AK = †bvjK `xN + Aj = `xNj †Pvi + Av = †Pviv Kvb + AvB = KvbvB †Mvj + AK = †MvjK

kxZ + Aj = kxZj MvQ + Av = MvQv †evb + AvB = †evbvB

3. Av KuvP + Av = KuvPv 4. AvB wbg + AvB = wbgvB 5. AvBZ > AvZ&

†mev + AvBZ = †mevBZ

m½ + AvBZ = mv½vBZ>mv½vZ aybv + AvwP = aybvwP

6. AvwP †eO& + AvwP = †eOvwP 7. Avb& > Av‡bv 8. Avwb

Nvg + AvwP = NvgvwP

RyZv + Avb& = RyZvb > RyZv‡bv

†eZ + Avb& = †eZvb > †eZv‡bv †Pve + Avwb = †Pvevwb

Zj + Avwb = Zjvwb

bvK + Avwb = bvKvwb

56 9. Avwg 10. Avi& cvKv + Avwg = cvKvwg Kvg + Avi = Kvgvi †Q‡j + Avwg = †Q‡jwg Kzg + Avi = Kzgvi

evsjv e¨vKiY I wbwg©wZ BZi + Avwg = BZivwg

Pvg + Avi = Pvgvi KvÊ + Avix = KvÊvix ; KvÊvwi

11. Avix ; Avwi 12. Dqv > I 13. gq

Kuvmv + Avix = Kuvmvix; Kuvmvwi MvQ + Dqv = MvQyqv > †M‡Qv

Muv + Dqv = MuvDqv > †Mu‡qv Rj + gq = Rjgq

Kv`v + gq = Kv`vgq

Ni + gq = Nigq

M. we‡`wk Zw×Z cÖZ¨q
1. Avbv, Avwb 2. Lvbv 3. †Lvi evey + Avbv = eveyqvbv mv‡nwe + Avbv = mv‡nweqvbv bRi + Avbv = bRivbv

gyw` + Lvbv = gyw`Lvbv Nyl + †Lvi = Nyl‡Lvi

Qvcv + Lvbv = QvcvLvbv †bkv + †Lvi = †bkv‡Lvi nvivg + †Lvi = nvivg‡Lvi

4. Mi > Ki 5. wMwi

Kvwi + Mi = KvwiMi, KvwiKi

Rv`y + Mi = Rv`yMi, Rv`yKi †Kivwb + wMwi = †KivwbwMwi

evey + wMwi = eveywMwi

gy‡U + wMwi = gy‡UwMwi

kãi~c

57

Abykxjbx
1| cÖZ¨q Kv‡K e‡j? cÖZ¨q Kq cÖKvi I Kx Kx ? cÖ‡Z¨K cÖKv‡ii `ywU K‡i D`vniY `vI| 2| K…r cÖZ¨q I Zw×Z cÖZ¨q Kv‡K e‡j? cÖ‡Z¨KwUi `ywU K‡i D`vniY `vI| 3| cÖK…wZ Kv‡K e‡j? cÖK…wZ Kq cÖKvi I Kx Kx? D`vniYmn eywS‡q `vI| 4| wb‡Pi k㸇jvi cÖK…wZ I cªZ¨q wbY©q Ki : Avaywj, Dw³, Doš—, HwZnvwmK, IKvjZbvgv, KZ©e¨, KviK, K…lK, †Ljbv, †L‡Kv, †Q‡jwg, R¨vš—, †R‡j, Rwg`vi, `k©b, cvVK, cvbmv, †evgvi“, eveyqvbv, †fŠ‡MvwjK, wgZvwj, wgïK, †gŠwLK, iuvaywb, †ikgx, †j‡Vj, †jŠwKK, mI`vMi, muvZvi“, mvcy‡o, nj‡`, nvUz‡i|

Kg©-Abykxjb
1. GKwU †cv÷vi †ccv‡i wb‡Pi msÁv¸‡jv mvBb †cb Øviv wjwce× Ki| cÖZ¨q :

K…r cÖZ¨q : Zw×Z cÖZ¨q : cÖK…wZ :

wµqv-cÖK…wZ : bvg-cÖK…wZ : 2. cÖ`Ë k㸇jvi cÖZ¨‡qi bvgmn cÖK…wZ I cÖZ¨q wbY©q K‡i wb‡`©kg‡Zv wb‡Pi Q‡K mvRvI : cÖ`Ë kã `k©bxq †`kxq Mš—e¨ D”PZi bxwjgv cÖK…wZ + cÖZ¨q cÖZ¨‡qi bvg

58

evsjv e¨vKiY I wbwg©wZ

7. evK¨
7.1 ev‡K¨i mvaviY MVb : D‡Ïk¨ I we‡aq n¨vcx GKwU cyZzj evbv‡Z Pvq| KvwKgv ejvB‡K Lye fv‡jvevm‡Zb| jvB‡eªwi RvwZi mf¨Zv I DbœwZi gvb`Ê| ZLb Avgvi eqm †Z‡iv eQ‡ii †ewk bq| Zzwg wK wjL‡Z PvI dz‡ji g‡Zv KweZv? fvlvi g~j DcKiY evK¨| Dc‡ii evK¨¸‡jv‡Z c~Y©v½ I A_©cY© e³e¨ cÖKvk †c‡q‡Q| ci¯úi ~ m¤úK©hy³ GKvwaK c` GK‡Î wgwjZ nIqvi Kvi‡YB e³e¨ ¯úó I cwic~Y©fv‡e cÖKvwkZ n‡q‡Q| D‡j−L¨ cÖwZwU ev‡K¨i wewfbœ c‡`i g‡a¨ cvi¯úwiK m¤^Ü ev Aš^q †hgb Av‡Q, †Zgwb Av‡Q MVbMZ ¯^qsm¤ú~Y©Zv Ges e³‡e¨i A_©enZv| myZivs †Kv‡bv fvlvq †h Dw³i mv_©KZv Av‡Q Ges MV‡bi w`K †_‡K hv ¯^qsm¤c~Y©, †m ai‡bi GKK Dw³B e¨vKiY kv‡¯¿ evK¨ wn‡m‡e cwiwPZ| msÁv : †h myweb¨¯— c`mgwó Øviv †Kv‡bv wel‡q e³vi g‡bvfve m¤ú~Yi~‡c cÖKvwkZ nq, Zv‡K evK¨ © e‡j| hw` ejv nq ⎯ 1. Ô†gŠwj GKwU ... |Õ 2. ÔPvI g‡Zv KweZv dz‡ji wK wjL‡Z Zzwg?Õ 3. ÔgvQ¸‡jv AvKv‡k D‡o †eov‡”Q|Õ G¸‡jv ev‡K¨i g‡a¨ c‡o bv| KviY Ô†gŠwj GKwUÕ ej‡j g‡bi fve Am¤ú~Y© †_‡K hvq| ÔPvI g‡Zv KweZv dz‡ji wK wjL‡Z Zzwg?Õ G‡¶‡Î Awš^Z c`¸‡jv LyeB wehy³| Avi ÔgvQ¸‡jv AvKv‡k D‡o †eov‡”Q|Õ Ñ ej‡j A_©MZ I fveMZ mgš^‡qi Afve cwijw¶Z nq| KviY, gvQ KL‡bv AvKv‡k Do‡Z cv‡i bv| D`vniY¸‡jv evK¨ wn‡m‡e mv_©K n‡e hLb ejv n‡e ⎯ 1. †gŠwj GKwU cyZzj evbv‡Z Pvq| 2. Zzwg wK dz‡ji g‡Zv KweZv wjL‡Z PvI? 3. cvwL¸‡jv AvKv‡k D‡o †eov‡”Q| evK¨‡K m¤ú~Y© Kivi Rb¨ cÖ‡qvRb AvKv•¶vi wbe„wË| Avi mymsnZ Kivi Rb¨ cÖ‡qvRb †hvM¨Zv I AvmwË| myZivs GKwU mv_©K ev‡K¨i wfwË AvKv•¶v, †hvM¨Zv I AvmwËi Ici cÖwZwôZ| GB wZbwU

evK¨

59

wel‡qi †Kv‡bv GKUvi Afve NU‡j evK¨ wbi_©K n‡q c‡o| myZivs mv_©K ev‡K¨i wZbwU ¸Y _vKv Avek¨K| †hgb : 1. AvKv•¶v; 2. †hvM¨Zv; 3. AvmwË| 1. AvKv•¶v : ev‡K¨i A_© cwi®‹vifv‡e †evSvi Rb¨ GK c‡`i ci Ab¨ c` †kvbvi †h B”Qv Zv-B AvKv•¶v| †hgb : ÔAvwg wM‡q †`LjvgÕ⎯ G‡Z AvKv•¶vi wbe„wË nq bv| hLb ejv nq ⎯ ÔAvwg wM‡q †`Ljvg Zviv P‡j †M‡Q|Õ GLb GwU GKwU evK¨ n‡jv| †Kbbv G K_v ejvi c‡i Avi wKQz Rvbvi AvKv•¶v _v‡K bv| 2. †hvM¨Zv : ev‡K¨i ga¨Kvi c`mg~‡ni Aš—M©Z Ges fveMZ wgje܇bi bvg †hvM¨Zv| el©vKv‡j AwZwi³ e„wócv‡Z eb¨v nq| GwU GKwU †hvM¨Zvm¤úbœ evK¨| wKš‘ ÔMÖx®§Kv‡j cÖLi †iŠ‡`ª eb¨v nq|Õ ⎯ ej‡j evK¨wU AmsjMœ g‡b n‡e Ges fve cÖKv‡ki †hvM¨Zv nviv‡e| KviY cÖLi †iŠ‡`ª KL‡bv eb¨v nq bv| 3. AvmwË : ev‡K¨i c`¸‡jv‡K mwVK RvqMvq mwbœweó Kivi bvg AvmwË| A_ev, ev‡K¨i A_©m½wZ i¶vi Rb¨ myk„•Lj c`web¨vmB AvmwË| QzwU‡Z XvKv Zviv cy‡Rvq hv‡eb⎯ G‡Z GKwU m¤ú~Y© ev‡K¨i me¸‡jv c`B Av‡Q, wKš‘ AvmwËi Afv‡e evK¨ nqwb| c`¸wj A_©m½wZ i¶v K‡i wVKg‡Zv mvRv‡jB evK¨ n‡e| Zviv cy‡Rvi QzwU‡Z XvKv hv‡eb| mvaviYZ cÖwZwU ev‡K¨i `ywU cÖavb Ask _v‡K : 1. D‡Ïk¨ I 2. we‡aq 1. D‡Ïk¨ : ev‡K¨i †h As‡k hvi m¤ú‡K© wKQy ejv nq, Zv‡K D‡Ïk¨ e‡j| 2. we‡aq : ev‡K¨ D‡Ïk¨ m¤ú‡K© hv ejv nq, Zv‡K we‡aq e‡j| †hgb : k¨vgv ¯‹z‡j hvq| GLv‡b Ôk¨vgvÕ D‡Ïk¨ Ges Ô¯‹z‡j hvqÕ we‡aq| KviY evK¨wU‡Z Ôk¨vgvÕ m¤ú‡K© ejv n‡q‡Q| ZvB Ôk¨vgvÕ c`wU D‡Ïk¨| we‡aq n‡”Q ev‡K¨i Ô¯‹z‡j hvqÕ AskwU| KviY Ô¯‹z‡j hvqÕ K_vwU k¨vgv m¤ú‡K© ejv n‡q‡Q| we‡aq As‡k Aek¨B GKwU mgvwcKv wµqv _v‡K| fvlvi †mŠ›`h© ea©‡b wKsev e³‡e¨i ¯úóZvi Rb¨ evK¨ m¤úªmvi‡Yi cÖ‡qvRb nq| evK¨‡K m¤úªmvwiZ Ki‡Z n‡j Zvi D‡Ïk¨ I we‡a‡qi c~‡e© Ges c‡i †m¸‡jvi cwi‡cvlK wn‡m‡e bvbviKg kã †hvM Ki‡Z nq| Z‡e D‡Ïk¨ I we‡aq m¤úªmvi‡Yi i‡q‡Q KwZcq wbqg| mvaviYZ ev‡K¨i KZ…©KviKB g~j D‡Ïk¨ nq| D‡Ïk¨wU we‡kl¨ c` n‡j we‡klY ev Ab¨ †Kv‡bv c` ev c`mgwó Øviv D‡Ï‡k¨i m¤úªmviY Kiv hvq| c¶vš—‡i, mgvwcKv wµqvB we‡aq As‡ki g~j|

60

evsjv e¨vKiY I wbwg©wZ

D‡Ïk¨ I we‡a‡qi m¤úªmviY ev‡K¨ ÔD‡Ïk¨Õ cÖ_‡g I Ôwe‡aqÕ c‡i e‡m| evK¨ `xN© n‡j D‡Ïk¨ I we‡aq m¤úªmvwiZ nq| †hgb: D‡Ï‡k¨i m¤úªmviY m¤úªmviY iwK‡ei AZ¨vPvix we‡a‡qi m¤úªmviY D‡Ïk¨ gqbv wZwb m¤úªmviY fv‡jv Rvg¸‡jv †hfv‡eB †nvK we‡aq †L‡q †d‡j‡Q AvR Avm‡eb D‡Ïk¨ fvB ivRv we‡aq G‡m‡Q wbnZ n‡q‡Q

7.2 ev‡K¨i MVbMZ †kªwYwefvM (mij, RwUj I †hŠwMK evK¨) MVbMZ w`K †_‡K evK¨ wZb cÖKvi| h_v : 1. mij evK¨; 2. RwUj ev wgkª evK¨ I 3. †hŠwMK evK¨|

1. mij evK¨ †h ev‡K¨ GKwUgvÎ KZ©v (D‡Ïk¨) Ges GKwUgvÎ mgvwcKv wµqv (we‡aq) _v‡K, Zv‡K mij evK¨ e‡j| †hgb : dyj dz‡U‡Q| †Q‡jiv †Ljv K‡i| GLv‡b ÔdzjÕ Ges Ô†Q‡jivÕ KZ©v ev D‡Ïk¨ Ges Ôdz‡U‡QÕ, Ô†Ljv K‡iÕ mgvwcKv wµqv ev we‡aq| 2. RwUj ev wgkª evK¨ †h ev‡K¨i g‡a¨ GKwU cÖavb evK¨ _v‡K Ges GKvwaK evK¨‡K cÖavb ev‡K¨i Ici wbf©ikxj †`Lv hvq, Zv‡K RwUj ev wgkª evK¨ e‡j| A_ev, Ab¨fv‡e ejv hvq, †h ev‡K¨ GKwU cÖavb LÊev‡K¨i GK ev GKvwaK AvwkªZ evK¨ ci¯úi mv‡c¶fv‡e e¨eüZ nq, Zv‡K RwUj ev wgkª evK¨ e‡j| †hgb : †h cwikªg K‡i, †mB myL jvf K‡i| whwb mrc‡_ P‡jb, wZwb myLx nb| AvwkªZ evK¨ †h cwikªg K‡i, whwb mrc‡_ P‡jb, cÖavb LÊ evK¨ †mB myL jvf K‡i| wZwb myLx nb|

evK¨

61

3. †hŠwMK evK¨ ci¯úi wbi‡c¶ `yB ev Z‡ZvwaK mij ev RwUj evK¨ wgwjZ n‡q hLb GKwU m¤ú~Y© evK¨ MVb K‡i, ZLb Zv‡K †hŠwMK evK¨ e‡j| †hgb : wZwb A_©kvjx wKš—z wkw¶Z bb| wn‡gj wbqwgZ cov‡kvbv K‡i ZvB †m cÖ_g nq| †hŠwMK ev‡K¨i Aš—M©Z wbi‡c¶ evK¨¸‡jv I, Ges, wKš—z, A_ev, A_P, wKsev, eis, Z_vwc, myZivs, AZGe, †h‡nZz, †hb cÖf…wZ Ae¨q‡hv‡M mshy³ _v‡K| evK¨ MV‡bi wbqg evK¨ MwVZ nq kã w`‡q Ges ev‡K¨i Aš—M©Z cÖ‡Z¨KwU kã‡K ejv nq c`| ev‡K¨ e¨eüZ cÖ‡Z¨KwU kã ev c` mvRv‡bvi mywbw`©ó wbqg Av‡Q| ev‡K¨ c` ms¯’vcbvi G c×wZ‡KB ev‡K¨i c` ms¯’vcb ixwZ ev c`µg ejv nq| fvlvi ï× I mv_©K cÖ‡qv‡Mi Rb¨ c` ms¯’vcb ixwZ m¤ú‡K© ¯úó aviYv _vKv cÖ‡qvRb| ev‡K¨ c‡`i G‡jv‡g‡jv e¨envi n‡j g‡bi fve mv_©Kfv‡e cÖKvwkZ nq bv| †hgb : ÔfvB `yB Avgiv hvB XvKvÕ ej‡j †Kv‡bv A_© †evSv hvq bv, wKš—z H k㸇jv Gfv‡e c`µg Abyhvqx mvRv‡j A_© ¯úó n‡q I‡V| †hgb : ÔAvgiv `yB fvB XvKv hvB|Õ ev‡K¨ c` emv‡bvi KwZcq cÖPwjZ wbqg GLv‡b †`Lv‡bv n‡jv| †hgb : 1. ev‡K¨ me‡P‡q cÖPwjZ c`web¨vm n‡”Q KZ©v cÖ_‡g, Kg© gv‡S Ges wµqv †k‡l| †hgb : Avwg eB cwo| †K evwo hvq| 2. wµqv we‡klY wµqvi Av‡M e‡m| †hgb : ivbv WzK‡i Kuv`‡Q| iwnZ `ª“Z nuvU‡Q| 3. ev‡K¨ Kg© _vK‡j wµqv we‡klY K‡g©i Av‡M e‡m| †hgb : gvgyb bxi‡e eB co‡Q| wk¶K †Rv‡i PveyK Kl‡Qb| 4. mgqevPK I ¯’vbevPK c` K‡g©i Av‡M e‡m| †hgb : Kvj K‡jR eÜ wQj| Avwg e„n¯úwZevi XvKv hve| 5. bv-†evaK Ae¨q AmgvwcKv wµqvi c‡i e‡m| †hgb : Avwg LvBwb| †K cov †k‡Lwb? 6. cÖkœ‡evaK me©bvg wµqvi Av‡M e‡m| †hgb : Avcwb Kx Pvb? AvKv‡k Kx †`LQ?

62 7. we‡aq we‡klY we‡k‡l¨i c‡i e‡m| †hgb : †Q‡jUv eyw×gvb| gvbylwU †evKv| 8. we‡kl we‡kl †¶‡Î m¤^Ü c` we‡k‡l¨i c‡iI e‡m| †hgb : gyLwU †Zvgvi wKš—z my›`i| cÖvY Zvi Lye k³|

evsjv e¨vKiY I wbwg©wZ

Z‡e g‡b ivL‡Z n‡e, GB c`web¨vm AcwieZ©bxq welq bq| e³vi g‡bvfve, ejvi we‡kl aviv ev ÷vBj I cvwicvwk¦©K welqvw`i Ici wbf©i K‡i c`web¨vm ixwZ †Kgb n‡e|

Abykxjbx
1| evK¨ ej‡Z Kx †evS? GKwU mv_©K evK¨ MV‡bi †¶‡Î Kx Kx ¸Y ev ˆewkó¨ _vKv Avek¨K? D`vniYmn Av‡jvPbv Ki| 2| D‡Ïk¨ I we‡aq Kv‡K e‡j? D`vniYmn Av‡jvPbv Ki|

Kg©-Abykxjb
1| GKwU mv_©K ev‡K¨i ÔAvKv•¶vÕ, Ô†hvM¨ZvÕ I ÔAvmwËÕ ¸‡Yi Av‡jvPbv GKwU †cv÷v‡i cwimw¾Z Ki|

63

8. weivgwPý
8.1 Kgv I EaŸ©Kgvi e¨envi wjwLZ ev‡K¨ †Q` ev weivg †evSv‡bvi Rb¨ †hme wPý e¨envi Kiv nq, Zv‡`i mvaviYZ †Q`wPý ev weivgwPý ejv nq| ev‡K¨i A_© wVK wVK †evSv‡bvi Rb¨ ev‡K¨i g‡a¨ GK ev GKvwaK RvqMvq Aí mgq wKsev †ewk mgq _vgvi cÖ‡qvRb nq| GQvov ev‡K¨i †k‡l †Zv Aek¨B _vg‡Z nq| GB _vgvi mvaviY bvg weivg| Avgiv hLb K_v ewj, ZLb GKwU ev‡K¨i meUzKz Ask GK wbk¦v‡m D”PviY Ki‡Z cvwi bv| dzmdz‡m evqy-m‡qi ev dzmdzm‡K wekªvg †`Iqvi Rb¨ k¦vmhš¿ gv‡S gv‡S _v‡g| Z‡e GB _vgvi g‡a¨ i‡q‡Q GKwU wbq‡gi avivevwnKZv| †Kbbv, bv †_‡g GKbvMv‡o weivgnxbfv‡e K_v e‡j †M‡j A‡_©i wecwË NU‡Z cv‡i| †hgb : ÔZzwg ILv‡b †h‡qv bv †M‡jB MʇMvj n‡e|Õ evK¨wU‡Z †h fve cÖKvwkZ n‡q‡Q Zv g~jZ †mLv‡b †M‡jB MʇMvj n‡e| wKš‘ evK¨wU‡Z hw` cÖ‡qvRbxq weivgwPý e¨envi Kiv nq Zvn‡j A_©wUB cv‡ë hvq : Zzwg ILv‡b †h‡qv, bv †M‡jB MʇMvj n‡e| Avevi weivgwPý Ab¨fv‡e web¨¯— Ki‡j A‡_©i †¶‡Î we‡kl cwieZ©b N‡U : Zzwg ILv‡b †h‡qv bv, †M‡jB MʇMvj n‡e| †h‡Kv‡bv fvlvq †jL¨-i~‡c weivg wP‡ýi e¨envi Acwinvh©| myZivs †jLvi †¶‡Î e³e¨‡K h_vh_fv‡e cÖKvk Ges Zvi A_©‡K my¯úófv‡e Dc¯’vc‡bi Rb¨ †hme wPý e¨eüZ nq, †m¸‡jv‡K †Q` ev weivgwPý e‡j| weivgwPý e³e¨‡K ev †jLvi fvlv‡K †evaMg¨ my¯úó I myweb¨¯— K‡i| †Q` ev weivgwP‡ýi KvR : 1. ev‡K¨ e¨eüZ c`¸”Q‡K fve Abymv‡i A_©en Kiv| 2. evK¨vsk msMÖw_Z I c„_K Kiv| 3. ev‡K¨i mgvwß wb‡`©k Kiv|

64

evsjv e¨vKiY I wbwg©wZ

weivgwP‡ýi cwiPq : evsjv fvlvq e¨eüZ weivgwPý¸‡jvi bvg, AvKvi I weiv‡gi mgq D‡j−L K‡i wb‡P GKwU ZvwjKv †`Iqv n‡jv : µwgK 1 2 3 4 5 6 7 8 9 10 11 12 Kgv †mwg‡Kvjb `uvwo ev c~Y©‡”Q` wRÁvmv ev cÖkœ‡evaK wPý we¯§q wPý †Kvjb †Kvjb W¨vk W¨vk nvB‡db B‡jK ev †jvc wPý D×…wZ wPý eª¨v‡KU ev eÜbx wPý weivgwP‡ýi bvg AvK…wZ , ; | ? ! : :Ñ — ⎯ , ÒÓ ( ) {} [] 13 14 15 16 17 18 avZz †`¨vZK wPý cieZx© i~c‡evaK wPý c~e©eZx© i~c‡evaK wPý mgvb wPý eR©b wPý ms‡¶cY wPý √ < > = ... . weiwZKvj 1 (GK) ej‡Z †h mgq jv‡M| 1 (GK) ejvi wظY mgqKvj| 1 (GK) †m‡KÛ Kvj cwigvY| H H H H H †Kv‡bvi~c weiwZi cÖ‡qvRb †bB| H 1 (GK) ej‡Z †h mgq jv‡M| †Kv‡bv i~c weiwZi cÖ‡qvRb †bB| H H H H H H H H

eZ©gvb Aa¨v‡q Kgv (,) I EaŸ© (Õ) m¤ú‡K© Av‡jvPbv Kiv n‡jv :

weivgwPý

65

1. Kgv (,) : Kgv-†K evsjvq cv`‡”Q` ejv nq| Kgvi g~j KvR c~Y© GKwU evK¨‡K fvevbymv‡i GKvwaK As‡k fvM Kiv| †h‡Kv‡bv iPbvq `uvwo (|) Qvov Ab¨ me weivgwP‡ýi g‡a¨ Kgvi e¨envi me‡P‡q †ewk| cÖKv‡k mswk−ó c‡`i ci wb‡Pi w`‡K e¨eüZ nq| iPbvi aib Ges fve cwiùzU‡b †jL‡Ki AvKv•¶vi Dc‡i Kgvi e¨envi wbf©ikxj| Kgv (,)-i weiwZKvj 1 (GK) ej‡Z hZUzKz mgq cÖ‡qvRb ZZUzKz cwigvY| Kgv (,) e¨env‡ii mvaviY ˆewkó¨ 1. ev‡K¨ A_©-wefvM †`Lvevi Rb¨ †hLv‡b ¯^í weiwZi cÖ‡qvRb, †mLv‡b Kgv e¨eüZ nq| †hgb : DbœwZ PvI, DbœwZ cv‡e cwikª‡g| 2. ev‡K¨ GKB c`wewkó GKvwaK kã cvkvcvwk e¨eüZ n‡j †kl c`wU Qvov evwK¸‡jvi g‡a¨ GK ev GKvwaK Kgv e¨envi K‡i GKRvZxq c`‡K c„_K Kiv nq| †hgb : we‡kl¨ c‡`i c‡i : mvjvg, eiKZ, iwdK, ReŸvi ⎯ gvZ…fvlvi gh©v`v i¶vq Av‡Z¥vrmM© K‡i‡Qb| Kgvi D`vniY : we‡klY c‡`i c‡i Kgvi D`vniY : mr, webqx, Aa¨emvqx, cwikªgx QvÎivB Rxe‡b mvdj¨ jvf K‡i| me©bvg c‡`i c‡i Kgvi D`vniY : Zzwg, Avwg, †m⎯Avgiv wZbRbB XvKv hve| wµqvc‡`i c‡i Kgvi D`vniY : G‡jb, †`L‡jb, P‡j †M‡jb| 3. GKRvZxq GKvwaK evK¨ ev evK¨vsk cvkvcvwk e¨eüZ n‡j Kgv e¨envi K‡i Zv‡`i Avjv`v Ki‡Z nq| †hgb : wn‡gj N‡i XzKj, eBcÎ ivLj, RvgvKvco Qvoj, Zvici wekªvg wbj| 4. cÖZ¨¶ Dw³i c~‡e© Kgv e‡m| †hgb : mybxj ejj, ÔAvgvi evev evwo †bB|Õ 5. m‡¤^vab c‡`i c‡i Kgv e‡m| †hgb : wekvLv, Gw`‡K G‡mv| 6. RwUj ev‡K¨i Aš—M©Z cÖ‡Z¨K LÊev‡K¨i c‡i ÔKgvÕ e‡m| †hgb : hv‡`i eyw× †bB, ZvivB †Kej G K_v wek¦vm K‡i| 7. Dcvwaµ‡gi g‡a¨ ÔKgvÕ e¨eüZ nq| A_©vr Kv‡iv bv‡gi †k‡l GKvwaK wWwMÖ _vK‡j Kgv e‡m| †hgb : dqmvj Avn‡g`, GgG, wcGBPwW| 2. EaŸ©Kgv (Õ) : hZ¸‡jv weivgwPý Av‡Q Zb¥‡a¨ GwU GKwU e¨wZµgagx© weivgwPý| EaŸ©Kgv c‡`i ga¨eZx© †Kv‡bv GKwU e‡Y©i Ic‡i RvqMv `Lj K‡i †bq| EaŸ©Kgvi †Kv‡bv weiwZKvj †bB| GB wPý‡K ÔB‡jKÕ ev Ô†jvcwPýÕ bv‡g AwfwnZ Kiv nq| EaŸ©Kgvi e¨envi eZ©gv‡b LyeB K‡g †M‡Q| Z‡e cy‡iv‡bv evsjv iPbvq, we‡klZ wµqv I me©bvg c‡`i msw¶ß-i~‡c e¨vcK nv‡i EaŸ©Kgv e¨eüZ n‡Zv| wb‡P EaŸ©Kgv e¨env‡ii KwZcq †¶Î D`vniYmn †`Lv‡bv n‡jv : 1. EaŸ©Kgvi cy‡iv‡bv e¨envi m¤ú‡K© ejv cÖ‡qvRb †h evsjv fvlvi mvayixwZi wµqv, me©bvg Ges wKQz msL¨vk‡ã PwjZixwZi msw¶ß-i~c wb‡`©k Ki‡Z EaŸ©Kgvi e¨envi n‡Zv| †hgb :

66 wµqvi D`vniY : mvayixwZ (wµqvi `xN©i~c) nB‡Z Dc‡i KwiqvwQ me©bv‡gi D`vniY : mvayixwZ (me©bv‡gi `xN©i~c) Zvnvi Zvnv‡`i msL¨vk‡ãi D`vniY : mvay msL¨vk‡ãi c~Y©i~c `yBwU GKkZ `yÕwU GKkÕ ZvÕi ZvÕ‡`i nÕ‡Z Õc‡i KÕ‡iwQ

evsjv e¨vKiY I wbwg©wZ

PwjZixwZ (wµqvi msw¶ßi~c)

PwjZixwZ (me©bv‡gi msw¶ßi~c)

PwjZ msL¨vk‡ãi i~‡c EaŸ©Kgv

2. AmgvwcKv wµqvi †¶‡Î EaŸ©Kgv : AmgvwcKv wµqvi †¶‡Î A_©weåvwš— NUvi Avk¼v _vK‡j †m †¶‡Î EaŸ©Kgvi e¨envi nq| †hgb : ÔZzwg †Kgb KÕ‡i Mvb K‡iv †n ¸Yx|Õ 3. AãmsL¨v ms‡¶c‡Y EaŸ©Kgv : wKQzmsL¨K AãmsL¨v wewfbœ Kvi‡Y GZUvB Zvrch© gwÊZ I mycwiwPZ _v‡K †h ev‡K¨i g‡a¨ Zv cy‡ivUv bv wj‡LI †evSv‡bv hvq| †hgb : Õ52-i fvlv Av‡›`vjb| Õ71-Gi gyw³hy×| weivgwPý cÖ‡qv‡Mi KwZcq bgybv 1. †i cw_K †i cvlvY ü`q cw_K wK †jv‡f GZ ·¯— †`ŠovB‡ZQ wK Avkvq LwÊZ wki ek©vi AMÖfv‡M we× Kwiqv jBqv hvB‡ZQ G wk‡i nvq G LwÊZ wk‡i †Zvgvi cÖ‡qvRb wK weivgwP‡ýi cÖ‡qvM : †i cw_K! †i cvlvY ü`q cw_K! wK †jv‡f GZ ·¯— †`ŠovB‡ZQ? wK Avkvq LwÊZ wki ek©vi AMÖfv‡M we× Kwiqv jBqv hvB‡ZQ? G wk‡i nvq! G wk‡i †Zvgvi cÖ‡qvRb wK? 2. Avwg cÖ_‡g Zvnv‡K wPwb‡Z cvwijvg bv Zvnvi †m Szwj bvB Zvnvi †m j¤^v Pyj bvB Zvnvi kix‡i c~‡e©i g‡Zv †m †ZR bvB Ae‡k‡l Zvnvi nvwm †`wLqv Zvnv‡K wPwbjvg Kwnjvg wK †i ingZ K‡e Avwmwj?

weivgwPý weivgwP‡ýi cÖ‡qvM :

67

Avwg cÖ_‡g Zvnv‡K wPwb‡Z cvwijvg bv| Zvnvi †m Szwj bvB, Zvnvi †m j¤^v Pyj bvB, Zvnvi kix‡i c~‡e©i g‡Zv †m †ZR bvB| Ae‡k‡l Zvnvi nvwm †`wLqv Zvnv‡K wPwbjvg| Kwnjvg, ÒwK †i ingZ, K‡e Avwmwj?Ó 3. †h kã‡K fv‡jvev‡m Lye kã‡K Av`i K‡i K‡i †h Lye myL cvq †mB n‡Z cv‡i Kwe Kweiv †Mvjv‡ci g‡Zv my›`i my›`i K_v e‡jb Puv‡`i g‡Zv ¯^cœ †`‡Lb ZzwgI †Mvjv‡ci g‡Zv my›`i K_v ej‡Z PvI Puv‡`i g‡Zv ¯^cœ †`L‡Z PvI †Zvgvi hw` k‡ãi R‡b¨ Av`i-fv‡jvevmv bv _v‡K Zvn‡j cvi‡e bv Zzwg †Mvjv‡ci g‡Zv jvj MÜfiv K_v ej‡Z Puv‡`i g‡Zv †R¨vrmœvfiv ¯^cœ †`L‡Z weivgwP‡ýi cÖ‡qvM : †h kã‡K fv‡jvev‡m Lye, kã‡K Av`i K‡i K‡i †h Lye myL cvq, †mB n‡Z cv‡i Kwe| Kweiv †Mvjv‡ci g‡Zv my›`i my›`i K_v e‡jb, Puv‡`i g‡Zv ¯^cœ †`‡Lb| ZzwgI †Mvjv‡ci g‡Zv my›`i K_v ej‡Z PvI, Puv‡`i g‡Zv ¯^cœ †`L‡Z PvI? †Zvgvi hw` k‡ãi R‡b¨ Av`i-fv‡jvevmv bv _v‡K, Zvn‡j cvi‡e bv Zzwg †Mvjv‡ci g‡Zv jvj MÜfiv K_v ej‡Z, Puv‡`i g‡Zv †R¨vrmœvfiv ¯^cœ †`L‡Z|

Abykxjbx
1| weivg wPý Kv‡K e‡j? Gi cÖ‡qvRbxqZv Kx? 2| evsjv fvlvi evK¨MV‡b e¨eüZ weivgwPýmg~‡ni bvg, AvK…wZ Ges Zv‡`i weiwZi mgq mxgv D‡j−Lc~e©K GKwU weeiYx ˆZwi Ki|

Kg©-Abykxjb
1| cÖ`Ë weivg wPý¸‡jvi ÔAvK…wZÕ I weiwZKvj wb‡Pi Q‡K wjwce× Ki : weivgwPý Kgv †mwg‡Kvjb `uvwo †Kvjb W¨vk nvB‡db cÖkœ‡evaK wPý we¯§q wPý avZz †`¨vZK wPý AvK…wZ weiwZKvj

68

evsjv e¨vKiY I wbwg©wZ

9. evbvb
9.1 evbv‡bi wbqg : YZ¡ I lZ¡-weavb fvlv cÖengvb I cwieZ©bkxj| cÖwZwU fvlvi †¶‡ÎB mywbqwš¿Z I myk„•Lj evbvbc×wZi cÖ‡qvRbxqZv Ab¯^xKvh©| evM&aŸwb‡K eY© ev ni‡di mvnv‡h¨ wjwLZ i~c †`Iqvi cÖwµqvB n‡”Q evbvb| evbvb g~jZ kãga¨¯’ eY©mg~‡ni we‡k−lY ev avivevwnK eY©bv n‡jI evbvbixwZ e¨vKi‡Yi GKwU AZ¨š— ¸i“Z¡c~Y© welq| †Kv‡bv fvlvi †gŠwjK k‡ãi MvVwbK i~c Kx ai‡bi n‡e wKsev †hŠwMK kã MV‡bi †¶‡Î evbv‡bi wbq‡g †Kv‡bv cwieZ©b Avm‡e wK bv, Zv Rvbvi GKgvÎ Dcvq evbvb ixwZ| GKB k‡ãi GKvwaK evbvb weåvwš—i m„wó K‡i| evsjv fvlv nvRvi eQ‡ii cyi‡bv| evsjv fvlvq `xN©Kvj a‡i evbv‡bi †Kv‡bv mywba©vwiZ wbqg bv _vKvq GKB k‡ãi GKvwaK evbvb P‡j G‡m‡Q| evsjv evbv‡bi wbqg †eu‡a †`Iqvi †¶‡Î cÖ_g D‡`¨vMx f~wgKv cvjb K‡i KjKvZv wek¦we`¨vjq| 1936 mv‡j KjKvZv wek¦we`¨vjq cÖ¯—vweZ Ôevsjv evbv‡bi wbqgÕ ÑGi cÖ_g ms¯‹iY Ges 1937 mv‡j wØZxq ms¯‹iY cÖKvwkZ nq| evsjv‡`‡k RvZxq wk¶vµg I cvV¨cy¯—K †evW© 1988 mv‡j evsjv evb‡bi GKwU bxwZgvjv cÖYqb K‡i| cieZx©Kv‡j evsjv GKv‡Wgx ÔcÖwgZ evsjv evbv‡bi wbqgÕ cÖYqb K‡i| G wbqg cÖKvwkZ nq 1992 mv‡ji Rvbyqvwi gv‡m| fvlvi mvgwMÖK k„•Ljv i¶v Kivi Rb¨ evbv‡bi wbqg Rvbv cÖ‡qvRb| evsjv fvlvi kãfvÊvi eûw`b a‡i bvbv DrmRvZ k‡ãi mgv‡e‡k M‡o D‡V‡Q| DrmMZ w`K †_‡K evsjv fvlvi kãmg~n Zrmg, Aa©-Zrmg, Z™¢e, †`wk I we‡`wk⎯GB cÖavb cuvPwU fv‡M wef³| G cuvP ai‡bi k‡ãi g‡a¨ ÔZrmgÕ, ÔAa©-ZrmgÕ I ÔZ™¢eÕ kã ms¯‹…Z DrmRvZ| †`wk k㸇jv cÖvK&Avh©, `ªvweo, Aw÷ªK cÖf…wZ Abvh© RvwZi fvlv †_‡K G‡m‡Q| we‡`wk ev ˆefvwlK kãmg~n Aviwe, dviwm, cZzwM©R, ZzwK©, Bs‡iwR, divwm, Ij›`vR cÖf…wZ fvlv †_‡K AvMZ| YZ¡-weavb I lZ¡-weavb Av‡jvPbvi †¶‡Î Zrmg kã m¤ú‡K© D‡j−L Kiv cÖ‡qvRb †h Ôms¯‹…Z †_‡K mivmwi †hme kã evsjv fvlvq G‡m‡Q, †m¸‡jvB Zrmg kã| ÔZrÕ ej‡Z †evSvq Ôms¯‹…ZÕ| A_©vr hv ms¯‹…‡Zi g‡Zv Zv-B Zrmg| evsjv fvlvq e¨eüZ k㸇jvi g‡a¨ †hme kã Zrmg †Kej †m¸‡jvi evbv‡b g~a©b¨-Y Ges g~a©b¨-l e¨eüZ nq| Zrmg k‡ãi evbv‡b g~a©b¨-Y I g~a©b¨-l cÖ‡qv‡Mi we‡kl wbqg i‡q‡Q| j¶Yxq †h, `š—¨-b Ges g~a©b¨-Y -Gi g‡a¨ aŸwbMZ ev D”PviYMZ †Kv‡bv cv_©K¨ †bB| Z`ªƒc `š—¨-m Ges g~a©b¨ l-Gi g‡a¨I aŸwbMZ ev D”PviYMZ †Kv‡bv cv_©K¨ †bB| wKš‘ evbv‡bi †¶‡Î G‡`i mywbw`©ó cÖ‡qvMwewa ev e¨envi i‡q‡Q| evbv‡bi †¶‡Î Kxfv‡e `š—¨-b g~a©b¨-Y n‡q hvq Ges Kxfv‡e `š—¨-m g~a©b¨-l n‡q hvq Zv Rvbv cÖ‡qvRb|

evbvb

69

YZ¡-weavb †h ixwZ Abymv‡i evsjv fvlvq e¨eüZ Zrmg k‡ãi evbv‡b `š—¨-b -Gi cwie‡Z© g~a©b¨-Y e¨eüZ nq Zv‡K YZ¡-weavb e‡j| A_ev, Zrmg k‡ãi evbv‡b g~a©b¨-Y-Gi mwVK e¨env‡ii wbqg‡K YZ¡-weavb e‡j| †hgb : FY, Z…Y, niY, KiY, PiY, fvlY, f‚lY, †kvlY, j¶Y BZ¨vw`| YZ¡-weav‡bi wbqgvewj 1. Zrmg k‡ã F, i, l ⎯GB wZbwU e‡Y©i c‡i Ges F-Kvi, i-djv, †id, ¶-Gi c‡i g~a©b¨-Y e¨eüZ nq| †hgb : (K) F ev F-Kvi (

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...Tuberculosis ---------- Tuberculosis (TB) is an infectious disease caused by a germ (bacterium) called Mycobacterium tuberculosis. This germ primarily affects the lungs and may infect anyone at any age. In the United States, the number of TB cases steadily decreased until 1986 when an increase was noted; TB has continued to rise since. Today, ten million individuals are infected in the U.S., as evidenced by positive skin tests, with approximately 26,000 new cases of active disease each year. The increase in TB cases is related to HIV/AIDS, homelessness, drug abuse and immigration of persons with active infections. How is TB Contracted? TB is a contagious or infectious disease that is spread from person-to- person. A person is usually infected by inhaling the germs which have been sprayed into the air by someone with the active disease who coughs. However, inhaling the germ does not usually mean you will develop active disease. A person's natural body defenses are usually able to control the infection so that it does not cause disease. In this case, the person would be infected, but not have active disease. Only about 10% of those infected will actually develop TB in their lifetimes. Active disease can occur in an infected person when the body's resistance is low or if there is a large or prolonged exposure to the germs that overcome the body's natural defenses. The body's response to active TB infection produces inflammation which can eventually damage the lungs. The amount...

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...Opportunity High potential in attract investors. As we can see here the Telekom Malaysia introduce SME BizFest 2012 aims to provide a synergistic ICT showcase for Malaysian SMEs to increase product and services knowledge and awareness among the fraternity. TM doing this event to empower their businesses via knowledge sharing and by participating in the activities held. In addition, SME BizFest provides the platform for SMEs to interact among themselves and opens up business opportunities through business matching sessions organized during the two-day event. Other than that, from the report the SME BizFest 2012 series is expected to attract more than 500,000 participants from the SME business community in Malaysia who require ICT solutions to improve and enhance their business operations. This will open the opportunity to the TM to attract the investors from the outside country. Because, when many people are participated in these business products it will enhance business processes, increase productivity and business revenues are available at a very special rate throughout the duration of SME BizFest 2012. Growing Broadband Market “Our business segments continue to record strong growth in revenue and business generation especially in our Retail and Global Lines of Business. We will remain focused on expanding our UniFi coverage and capitalise on the strong take-up we are still experiencing to date. The emphasis on customer service and product differentiation is clearly helping...

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...Mario Rosales Mrs. Kelley English 1 Pre-AP 3 1 October 2014 Not Everyone Gets Not every child in the world gets the education that they have desire. It’s hard to imagine not to have an education or perhaps the dream to at least learn how to read in their language. Just imagine one of this uneducated child listens to children with his desire say that they don’t like school it would probably get them frustrated because they are getting the education that they may never have in their miserable life. Education is important because every child doesn’t have the opportunity or get to finish it. Lets’ see the view of both of the children’s point of view rich and poor education. A rich child can have the opportunity to attend a privet school where he can get the necessary skills such as Science, English, Math, Social Studies, Writing and a foreign language. He can meet the right individuals to help him go through life. Then when he finishes High school he can choose one of the best privet universities in the USA to become a doctor, lawyer, scientist, business man or even become the president of the United States of America. If he chooses a good career he can get married with a beautiful person have kids, have a house and retire from his career and enjoy the government paying him for nothing. A poor child can’t go to school because their parents couldn’t afford it and is working all day for a low paying job to help his family. Then as the kid becomes older he can become...

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...In details apparel manufacturing sequence are given below: Operation | Job | Method | | 01. Design/sketch | It is given by buyers to manufacturers containing sketches including measurements of the style | Manual/computerized    | | 02. Basic block | Without any allowance | Manual/computerized | | 03. Working pattern | Assimilating of diagram of net dimension on paper each and individual part which is called pattern and when we move with it throughout the  whole manufacturing processes. We term it working pattern. | Manual/computerized | | Manual/computerized | 04. Sample making | After getting all the speech the sample is made and sent to the buyers for approval to rectify the faults. | Manual | | 05. Basic manufacturing difference | The critical path is identified i.e the problem during the several operations. | Manual | | 06. Approved sample | After rectify the faults, sample is again sent to buyers. If it is ok, than it is called approved sample. | Manual | | O7. Costing | * Fabric required * Making charge * Trimmings * Profits | Manual | | 08. Production pattern | Add allowance with net dimension. | Manual/computerized | | 09. Grading | It is done according to different size. | Manual/computerized | | 10. Marker making | Maker is a thin paper which contains all the components of all sizes of a particular style. | Manual/computerized | | 11. Fabric spreading | Fabric is spreaded in lay form. | Manual/computerized | | 12. Cutting...

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...Abstract: The researchers aimed to develop a new product that will benefit the students like us. To this objective, our team comes up with the idea of creating glue based from milk. Glue has been an important material at home, at school and at office. Most of the commercially available glue is claiming to be non-toxic. However, we are still uncertain of this claim since they contain preservatives that may harm both the user and the environment Casein, a protein obtained from milk, has been long proven to play an important role in the production of glue. It can be obtained from milk by means of adding vinegar into the milk. The curd formed from the reaction is mixed with baking soda. The produced glue from milk may vary in consistency depending upon the amount of milk, vinegar, water and baking soda used. Other research conducted claims that glue made from milk casein is waterproof and can be used for bottle labeling and cigarette packaging .The product produced by our team is cheap and effective. Students can replicate our procedures to create their own milk glue. Chapter 1 Introduction The first evidence when glue used for the first time dates back in 4000 B.C., Archaeologists found foodstuff with deceased when they were studying burial sites of historical tribes in the pottery vessels, which were repaired by some sticky stuff of trees ap. They also found ivory eyeballs into eye sockets in Babylonian temples .In our modern time, glue may vary from industrial...

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...CHAPTER 2:Global E-Business: How Businesses Use Information Systems Business processes: Workflows of material, information, knowledge Sets of activities, steps May be tied to functional area or be cross-functional Businesses: Can be seen as collection of business processes,may be assets or liabilities *Examples of functional business processes Manufacturing and production >Assembling the product Sales and marketing >Identifying customers Finance and accounting >Creating financial statements Human resources >Hiring employees *Information technology enhances business processes in two main ways: Increasing efficiency of existing processes * Automating steps that were manual Enabling entirely new processes that are capable of transforming the businesses * Change flow of information * Replace sequential steps with parallel steps * Eliminate delays in decision making *Types of Business Information System Transaction processing systems * Perform and record daily routine transactions necessary to conduct business * Allow managers to monitor status of operations and relations with external environment * Serve operational levels Management information systems * Serve middle management * Provide reports on firm’s current performance, based on data from TPS * Provide answers to routine questions with predefined procedure for answering them * Typically have little analytic...

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...Jean Piaget’s Theory Christian problem solving behavior from 8 through 18 months Christian is doing just great. He is learning new things every day and showing remarkable motor skills. Developmentally he appears to be progressing well with many of the skills important for his age. He organizes his toys by color or size, has a good memory for the location of previously hidden objects when playing games with us, and is able to solve simple problems with little or no help. Emotionally he is happy and easy to deal with. The issue he had with relating more with his father has been solved and he seems almost equally comfortable with both of us. Christian still has some trouble with meeting new people, but the intensity of his reactions has eased, and he warms up more quickly. He gets along well with the people he is comfortable with, and interacts socially with them. Again, I'm not worried about this; I hope he always shows discretion. Physically he is very active and energetic. His interactions are very cooperative and team oriented when playing with others, with only occasional fits, usually when overly tired or hungry. Emotionally we haven't seen any directional changes. He is still even tempered and friendly, with the changes we're seeing being mostly the development and growth of the personality she developed originally. With regard to his personality, we are trying to tailor our rearing techniques to match what we believe to be the best "goodness of fit" for him. For example...

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...[pic] School of Management Semester 1, Academic Session 2015/2016 Bachelor of Management COURSE OUTLINE ATW 395/3 – International Business Lecturer: Dr.Shankar Chelliah (DBA) Day/Time/Venue: Monday/9.00-10.50am/DK S email: shankarchelliah1@gmail.com Tel: 04 653 3426/012-4618731 Office: Level 2, Room 216, School of Management COURSE SYNOPSIS The course aims to introduce the core knowledge of international business as a core subject in the bachelor program. The students will be exposed to globalization, international business theories, government intervention in international business, emerging market, foreign market entry strategies and the existence of regional economic integration that affect international business. COURSE OBJECTIVES The objectives of the course are: 1. To enable students to understand the impact of globalisation and the key issues facing international businesses 2. To explain the environment in international business such as politics and law, emerging market and the regional economic integration 3. To make students appreciate the existence and use of fundamental international business theories and its evolution 4. To enable students to understand the various entry modes available to capture international market LEARNING OUTCOMES At the end of the course, students will be able to: 1. Acquire the pre-requisite knowledge of venturing a business at international level and describe the key concepts that driving globalization...

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...Case study – New Pressures for Learning and Development in the Fork-Lift Truck Factory of Smarna Gora Holdings Question 1 The positive and negative pressures on learning and development in the fork-lift truck factory of Smarna Gora Holdings Positive Internal | Positive External | 1. In the fork-lift truck factory the commercial department has combined buying and selling to reduce head count and to simplify horizontal communication across the organization. 2. Storage has been moved from the technical department to the commercial department. 3. The number of employees has been reduced to 130 and the work is now more dominated by the commercial department rather than the emphasis being on production. | 1. As for industrial relations, the syndicate structure (trade union) was very strong in influencing how the organization was run and the system of management was strongly paternalistic, making additional assets available for the factory’s use so that employees could rent company houses and travel to company holiday sites. 2. The company is developing a global orientation and making strong use of previous trading relationships with countries such as Iran and India. | Negative Internal | Negative External | 1. There was no planning done at the organizational level and no emphasis on markets nor much on management. 2. There was no client orientation and no need to compete with European countries. 3. Organizational commitment was low, with lower-level employees...

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...Tanda 100 hari sebelum sakaratulmaut. Ini adalah tanda pertama dari Allah SWT kepada hambanya dan hanya akan disedari oleh mereka yang dikehendakinya. Walaubagaimanapun semua orang Islam akan mendapat tanda ini cuma samada mereka sedar atau tidak sahaja. Tanda ini akan berlaku lazimnya selepas waktu Asar. Seluruh tubuh iaitu dari hujung rambut sehingga ke hujung kaki akan mengalami getaran atau seakan-akan mengigil. Contohnya seperti daging lembu yang baru saja disembelih dimana jika diperhatikan dengan teliti kita akan mendapati daging tersebut seakan-akan bergetar. Tanda ini rasanya lazat dan bagi mereka yang sedar dan berdetik di hati bahawa mungkin ini adalah tanda mati maka getaran ini akan berhenti dan hilang setelah kita sedar akan kehadiran tanda ini. Bagi mereka yang tidak diberi kesedaran atau mereka yang hanyut dengan kenikmatan tanpa memikirkan soal kematian, tanda ini akan lenyap begitu sahaja tanpa sebarang munafaat. Bagi yang sedar dengan kehadiran tanda ini maka ini adalah peluang terbaik untuk memunafaatkan masa yang ada untuk mempersiapkan diri dengan amalan dan urusan yang akan dibawa atau ditinggalkan sesudah mati. Tanda 40 hari sebelum hari mati Tanda ini juga akan berlaku sesudah waktu Asar. Bahagian pusat kita akan berdenyut- denyut. Pada ketika ini daun yang tertulis nama kita akan gugur dari pokok yang letaknya di atas Arash Allah SWT. Maka malaikat maut akan mengambil daun tersebut dan mula...

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...CHAPTER 2 REVIEW OF RELATED LITERATURE AND STUDIES This chapter presents the pieces of literature and studies that were found relevant to the topic. An Integrated School Management System plays a great role in simplifying the task of employees at school and gratifying the needs of the customers and officials of the schools. There are different products from different companies that offered school management system to sustain the necessity and will handle jobs such as admission and marketing support, student information and enrollment system, student service management and student performance or the grading system. Foreign Literature Super Technologies Inc. is an innovative IT company which was established by Rehan Ahmed and Suzanne Bowen in Florida, USA. The company offered different software products for management services such as the school management system. According to the owner, a School Management System is a great on-line support that can help with the daily school management routines and also can save time and get a full control access with the school tasks. The main principle of the system is security – the security subsystem supports dividing users into several groups having its own set of rights for viewing and changing data. The systems’ highest reliability is based on transactions. Transactional system never allows data to be lost or corrupted because of accidents such as electricity failure and hardware malfunction and all the...

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...Genesis 1:26-27- God made man in his likeness God gave dominion over every living thing on earth. Psalms 8:4-8 What is man that God cares about him? God made man a little lower than the angels God gave man dominion over the entire creature on earth Acts 17:27-29 Human live and move in God. We are God’s offering. God’ not an image of stone, gold or silver Ephisians2: vs. 10 We are God’s workmanship We are created in Christ Jesus to do good works which God prepared for us to do POINTS Jesus said remain in me and I will remain in you. You did not choose me I chose you. Jesus is the true vine. The human family Gen 22:20 -Nahar’s wife Mikah having children. - Abraham was Nahar’s brother Eph 3:15 -The whole family on earth derives its name from the father Acts 3:25 -We are the children/heirs is the prophets and of the covenant God made with Abraham, Isaac and Jacob. St. John 16 -Jesus told his disciple that he was going to go back to his father who sent him -He said unless he goes, the counselor will not come to them. -When the counselor comes, he will convict the world of guilt, sin and righteousness. -He will also guide you n all truth -The Holy Spirit will bring glory to Jesus by taking what belongs to him and making it known to his disciples. -God loves the disciples because they believed that Jesus came from God. -A time will come when Jesus’ disciples would desert...

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...Figure 1: The Industrial Accident Statistics of Construction in Malaysia from 2008 to 2012 (Source: Department of Occupational Safety and Health, Malaysia, 2013) Table 1: Industrial Accident Statistics of Construction in Malaysia from 2008 to 2012 Year | Death | Permanent Disability | Non – Permanent Disability | 2008 | 72 | 2 | 55 | 2009 | 71 | 6 | 38 | 2010 | 66 | 4 | 50 | 2011 | 51 | 5 | 43 | 2012 | 67 | 12 | 40 | The chart above shows the industrial accident statistics of construction in Malaysia for the past five years, from 2008 to 2012. It can be divided into three categories, which are death, non – permanent disability and permanent disability. From the chart, in 2008, it gives the highest number of death, with 72 victims, whereas in 2011, it gives the lowest number of death, with 51 victims. In 2008 to 2011, the numbers of death are decreased, but it was suddenly increased in 2012. As we can see, the permanent disability gives the lowest number compare to the death and non-permanent disability. The highest and lowest numbers of the permanent disability are in 2008 and 2012, with 2 and 12 victims, respectively. For the first four years, which is from 2008 to 2011, is fluctuated dramatically, falling from 55 to 38 victims, before it increasing to 50 victims. However, in 2012, it decreased again by 40 victims. In our opinion, there are many causes for the accidents that occur in construction industry. This is because in the construction industry...

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...Summation notation Summation notation is a convenient way to represent the sum of many terms. (It iis also called Sigma notation, since it uses the Greek letter Σ (Sigma)). If f is a function, then b f (k) = f (a) + f (a + 1) + f (a + 2) + . . . + f (b). k=a . Here are some examples: • • • • 5 k=1 k 3 = 13 + 23 + 33 + 43 + 53 = 225. = 1/1 + 1/2 + 1/3 + . . . + 1/100 ≈ 5.1873. = 1/1 + 1/2 + 1/3 + . . . + 1/n. 100 1 k=1 k n 1 t=1 t 15 x=1 2 = 2 + 2 + . . . + 2 = 15 · 2 = 30 15 times • 8 x=2 sin(π/x) = sin(π/2) + sin(π/3) + . . . + sin(π/8) ≈ 4.4885 Here are some handy rules for working with sums, where c is some constant: • • • n x=m cf (x) = c n x=m f (x). n x=m n x=m n x=m (f (x) n x=m (f (x) − g(x)) = + g(x)) = f (x) − f (x) + n x=m n x=m g(x). g(x). Here are some classical formulas that might come in handy: • • • • • n i=1 n i=1 n i=1 1 = n. c = cn. i= n(n+1) . 2 n(n+1)(2n+1) . 6 n(n+1) 2 2 n 2 i=1 i n 3 i=1 i = = . For details, see Appendix E in the text. Most of the second set of formulas can be proved using mathematical induction. 256 2π Calculator sums. It is often useful to use the calculator to find sums such as k=1 cos2 π + k 256 . This would be tedious to calculate by hand. The two commands to use are sum and seq, which on the TI-83, can be found in the LIST menu, under the OPS and MATH sub-menus, respectively. The command seq has the format: seq(expression,variable, lower, upper) This returns...

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