Mathcad 13 на примерах

На конкретных примерах показаны возможности популярного математического пакета Mathcad 13. Базовые примеры подобраны с т

328 104 8MB

Russian Pages 518 Year 2007

Report DMCA / Copyright

DOWNLOAD PDF FILE

Recommend Papers

Mathcad 13 на примерах

  • Commentary
  • 1146118064*Отл
  • 0 0 0
  • Like this paper and download? You can publish your own PDF file online for free in a few minutes! Sign Up
File loading please wait...
Citation preview

’½·¼Ã·»”²Ãº½Î·´





  

iz  rrz  { {

{È°ÒãËm k s

0DWKFDG  ÓÈ ¹¯Òä˯Ȳ Û v­ rt{ËˆË¯­‚¯  Û  ° Òã ,6%1 

sÈ }ºÓ}¯ËˆÓ©² ¹¯Òä˯Ȳ ¹º}ÈÏÈÓ© mºÏäºÎÓº°ˆÒ ¹º¹‚㫯Ӻº äȈËäȈÒË°}º º ¹È}ËˆÈ 0DWKFDG  rÈϺm©Ë ¹¯Òä˯© ¹ºº­¯ÈÓ© ° ˆÈ}Òä ¯È°ˈºä ˆº­© ºÓÒ º²mȈ©mÈãÒ m°Ë º°ÓºmÓ©Ë Óȹ¯ÈmãËÓÒ« m ¯Èä}Ȳ }ãÈ°°ÒË°}ºº ‚ÓÒm˯°ÒˆËˆ°}ºº }‚¯°È m©°Ë® äȈËäȈÒ}Ò m ˆºä Ò°ãË m©Ò°ãËÓÒË m°ËmºÏäºÎÓ©² ¹¯ºÒÏmºÓ©² ¯È°ˈ mº®Ó©² ˆ¯º®Ó©² Ò }¯ÒmºãÒÓˮө² Òӈ˯Èãºm ¹Ë¯mºº Ò mˆº¯ºº ¯ºÈ ¯ÈÏãºÎËÓÒË Á‚Ó}Ò® m ¯«© Òӈ˯ÈãÓ©Ë ¹¯Ëº­¯ÈϺmÈÓÒ« ¯ËËÓÒË ÒÁÁ˯ËÓ ÒÈãÓ©² ‚¯ÈmÓËÓÒ® °Ò°ˆËä Ò äÓººË ¯‚ºË cÈ°°äȈ¯ÒmÈ ˆ°« Ò ­ºãËË °ãºÎÓ©Ë ¹¯Òä˯© }È} ÒÏ º­ãÈ°ˆÒ m©°Ë® äȈËäȈÒ}Ò ˆÈ} Ò }ºä¹ãË}°Ó©Ë ÁÒÏÒË°}ÒË ÏÈÈÒ ¹º¯ÈςäËmÈ ÒË ¹¯ÒmãËËÓÒË m°Ëº ȯ°ËÓÈãÈ ‚ˆÒã҈ 0DWKFDG |¹Ò°ÈÓ ¯ÈÁÒË°}Ò® Òӈ˯ÁË®° äˈº© ¯È­ºˆ© ° ÒϺ­¯ÈÎËÓÒ«äÒ °ºÏÈÓÒË ÈÓÒäÈÒÒ ¹º°ˆ¯ºËÓÒË ¹¯º°ˆ¯ÈÓ°ˆmËÓÓ©² }¯Òm©² ¹ºm˯²Óº°ˆË® Ò ÒȯÈää äˈº© ¹¯º ¯ÈääÒ¯ºmÈÓÒ« m °¯ËË 0DWKFDG ¯ÒãÈÈËä©® }ºä¹È}ˆÒ°} °º˯Î҈ ­ºãËË  ºˆºm©² } Ò°¹ºãϺmÈÓÒ ¹¯Òä˯ºm ÒÏ }ÓÒÒ 

iã« °ˆ‚Ëӈºm ¹¯Ë¹ºÈmȈËãË® Ò ÒÓÎËÓ˯ºm

   

€ãÈmÓ©® ¯ËÈ}ˆº¯ ~Èä ãÈmÓºº ¯ËÈ}ˆº¯È ~Èm ¯ËÈ}ÒË® cËÈ}ˆº¯ zºä¹ ˆË¯ÓÈ« m˯°ˆ}È zº¯¯Ë}ˆº¯ iÒÏÈ®Ó °Ë¯ÒÒ |Áº¯äãËÓÒË º­ãºÎ}Ò ~Èm ¹¯ºÒÏmº°ˆmºä

iz  rrz 

p}Ȉ˯ÒÓÈ zºÓ‚}ºmÈ pmËÓÒ® c©­È}ºm €¯Òº¯Ò® iº­ÒÓ ˺ÓÒ zºÒÓ sȈÈãÒ zȯÈmÈËmº® {Ò}ˆº¯Ò« Òºˆ¯ºm°}È« jº¯« ¡©¯‚ãÓÒ}ºmÈ pãËÓ© rËã«Ëmº® sÒ}ºãÈ® ‘m˯°}Ò²

ºÈ·¿¹ºÑ š– ‹  ÀÄ  ¡À¶ÁºÃ²¿À ´ Á·É²ÄÎ  ¦À¾²Ä K ¡·É²ÄÎ ÀÆ÷Ŀ²Ñ ¥Ã½ Á·É ½  ¤ºÂ²¸  ϼ¹ ™²¼²¹ ‹ “§”¡·Ä·Â³Åµ  £²¿¼Ä¡·Ä·Â³Åµ Ž —÷¿º¿² “ £²¿ºÄ²Â¿ÀÏÁº¶·¾ºÀ½ÀµºÉ·Ã¼À· ¹²¼½ÐÉ·¿º· ¿² ÁÂÀ¶Å¼ÈºÐ ‹ – ÀÄ  µ ´Í¶²¿À ¦·¶·Â²½Î¿À» ýŸ³À» ÁÀ ¿²¶¹ÀÂÅ ´ ÃƷ· ¹²ËºÄÍ Á²´ ÁÀÄ·³ºÄ·½·» º ³½²µÀÁÀ½ÅÉºÑ É·½À´·¼²  ÄÁ·É²Ä²¿À à µÀÄÀ´ÍÇ ¶º²ÁÀ¹ºÄº´À´ ´ •¥¡ ¤ºÁÀµÂ²ÆºÑ Ÿ²Å¼²  £²¿¼Ä¡·Ä·Â³Åµ  ½º¿ºÑ 

,6%1 

Š {È°ÒãËm k s  Š |Áº¯äãËÓÒË ÒÏȈËã°ˆmº rt{ËˆË¯­‚¯ 

  µ½²´½·¿º·

ey dh]h wlZ dgb]Z KljmdlmjZ dgb]b H \_jkbb iZd_lZ DhfiZdl ^bkd H kibkd_ ebl_jZlmju ;eZ]h^Zjghklb H[jZlgZy k\yav =eZ\Z =jZnbq_kdbc bgl_jn_ck ihevah\Zl_ey KljmdlmjZ jZ[hq_]h hdgZ IZg_ev f_gx F_gx )LOH F_gx (GLW F_gx 9LHZ F_gx ,QVHUW F_gx )RUPDW F_gx 7RROV F_gx 6\PEROLFV F_gx :LQGRZ F_gx +HOS IZg_eb bgkljmf_glh\ KlZg^ZjlgZy iZg_ev bgkljmf_glh\ IZg_ev nhjfZlbjh\Zgby FZl_fZlbq_kdZy iZg_ev IZg_eb j_kmjkh\ b we_f_glh\ mijZ\e_gby GZkljhcdZ bgl_jn_ckZ ihevah\Zl_ey GZkljhcdZ iZg_e_c bgkljmf_glh\ Ebg_cdZ fZkrlZ[ b nhg

  

 

 



   

   





 

 

         

   

 

     

 

   

 

 



 

,9

 µ½²´½·¿º·

!  "    %    & '        "      !  "  ( 

 

 

 

     

         

      (            (    (      )   (   (    ' &   &   

"   *     &   &  

+   ,       

" %      

   +   "   !    &  !  "       

+ 

+   -       ' (  "      %         )  &"     '   " '   +         %                         . &              '       *   

+  " %    &  )   

+  & "           &         &   %        &    &

 

 

 













  





   









 



 



 

 









 

 





 

 

 

 

 

 

 

 

 

 

 

  

 

 

   

 

 



/ &     

+   "         "   / &    / &     / &      "   )    ( " )          "       "   / &  +  

+ )      )    )      "   )      " '   +  &   %             "       "        "   &          )    &   !   "             )(

      )(

     &         &        0      &    1    &        &   )              &   &          )    & / &          / &      / &      / &      2      &



 



 









 

   





   

 



 











 





 

 

 

 

 

 

   



 



 



 

 



 

 



 



 

 

 

 

 

 

 

 

 



 

 



 



 

 



 



 



 

9,

 µ½²´½·¿º·

%$     "         %$     "         %$   " "     )      +       )      +  

)           )          (    %     ( "   '     +  "           +                             

            0DWKFDG      +         ,   &      ,   +  & "   !  "             (         ,      ,    +    +        3 +                (     

+        (    "         + +         + "      ,   & +  

+      "  +     

    ,   +         ,           ,     

  

 *   &  (     +  + "      4        ,        )                   

 µ½²´½·¿º·

9,,



     + +            )             (   +      +     +             0    +      

   %     "     %    (    )   (        (       ( " 3  &       &  

 



 



 

 



 



 

 















 

 













   



         

           (  #        #      5 "     5 "     / &          !  +      '               &    )(

      3    (       &                    61    &    '   &   %     " "     )         4     ) $         

  

 



 





 

















 

 







 

 

 









 



 



 

 

 



 

     

9,,,

 µ½²´½·¿º·

       7 &     

            / &            5            &       &   &      (   +    8  "   %                  1         '         "                      

            &        )      +             (                      & 

        +    '        )      '      %    (       5 1   ( " 

   5 1     +  +           ( "      &          *   

+    

 % (           )    ( "     &    &         &    &   '        (          '        

             % 0" 

 



%$     "         %$     "           &    "   )     +     "   )     '        '     

 

 



 

 



 



 

 



         



)      +      "  &         

"  &              &  

"   +    +      +   )        

  

     "    "    0 "    % /    % /    &      

     

  

  

 

 

 



  

 

  

   

    

           



%$    +    "   3         %$     "          "   %$       "     " +    " '  &   & " '  &   "  '  & 

"   #  ( - 

 $     &  +    "   %$     &         %$       &  +    "                "  

 

 

 







 









       













 



           "                  -  +     " +    4         "            )        +        

 

& 

 +     %  

"         # "    

  

    

"                     %    &        %       "        0             %      &  & "      %   1   

     (   

+  

  



   !    



" 



    



 

ey fgh]bo wlh [ueb kq_lgu_ iZehq db k ihfhsvx dhlhjuo \uihegyebkv we_f_glZjgu_ fZl_fZlbq_kdb_ hi_jZ pbb keh`_gby b \uqblZgby >Ze__ gZ kp_gm \uoh^beb [he__ aZfukeh\Zlu_ f_oZgbafu \jh^_ eh]Zjbnfbq_kdhc ebg_cdb GZ nhg_ dZevdmeylhjh\ \k_ wlh dZ`_lky ^_lkdhc b]jmrdhc hkh[_ggh k_cqZk dh]^Z ijZdlbq_kdb ex[h_ jZ[h q__ f_klh ijbq_f g_ lhevdh mq_gh]hbkke_^h\Zl_ey gh b ijhklh]h de_jdZ hkgZs_gh i_jkhgZevguf dhfivxl_jhf GZ aZj_ `_ jZa\blby \uqbkebl_evghc l_ogbdb l_ \hafh`ghklb dhlhjufb \ gZklhys__ \j_fy h[eZ^Z_l q_eh\_q_kl \h \u]ey^_eb ijhklh nZglZklbdhc B _keb \ h[eZklb qbke_gguo jZkq_lh\ bk dexqbl_evgmx jhev dhfivxl_jh\ ij_^m]Z^Zlv [ueh g_keh`gh \hafh`ghklv bo bkihevah\Zgby ^ey ZgZebaZ \ kbf\hevghf \b^_ g_ ij_^klZ\eyeZkv klhev hq_\b^ghc J_Zevghklv l_f g_ f_g__ ij_\ahreZ \k_ h`b^Zgby GZ k_]h^gy kms_kl\m_l g_kdhevdh fZl_fZlbq_kdbo iZd_lh\ k ihfhsvx dhlh juo [ukljh ijhklh b wnn_dlb\gh \uihegyxlky keh`gu_ fZl_fZlbq_kdb_ jZkq_lu ijbq_f ^Z`_ \ kbf\hevghf \b^_ A^_kv ke_^m_l h[jZlblv \gbfZgb_ qblZl_ey gZ lZdb_ kj_^kl\Z \uqbke_gbc dZd 0DSOH 0DWKHPDWLFD b 0DWKFDG IZd_lu wlb \u^_e_gu bf_ggh ihlhfm qlh \ gbo gZ ^hklZlhqgh k_jv_aghf mjh\g_ ih^^_j`b\Zxlky kbf\hevgu_ \uqbke_gby Qlh dZkZ_lky iZd_lZ 0DWKFDG dhlhjhfm ihk\ys_gZ ^ZggZy dgb]Z lh \ g_f kbf\hevgu_ \uqbke_gby y\ey xlky kdhj__ ^Zgvx fh^_ b hl\_lhf gZ kh\j_f_ggu_ \uah\u jugdZ H^gZdh wlh gb \ dh_c f_j_ g_ mfZey_l \hafh`ghkl_c 0DWKFDG kdhj__ gZh[hjhl Hg g_baf_ggh ihimeyj_g hkh[_ggh kj_^b klm^_glh\ b bg`_g_jh\ ih\b^bfhfm \ kbem ijhklhlu \aZbfh^_ckl\by ihevah\Zl_ey k ijbeh`_gb_f b ijhajZqgh klb \uihegy_fuo hi_jZpbc  ey wlh]h jbkmghd ij_^\Zjbl_evgh \u^_eyxl QZklh jZaf_ju jbkmgdZ gm`gh baf_gblv lZd qlh[u khojZgyebkv bkoh^gu_ ijhihjpbb hlghr_gb_ \ukhlZ rbjbgZ < wlhf kemqZ_ dmjkhj furb gZ\h^yl gZ ijZ\mx gb`gxx lhqdm h[eZklb \u^_e_gby jbkmgdZ wlZ lhqdZ hlf_q_gZ g_[hevrbf q_jguf ijyfhm]hevguf d\Z^jZlhf b gZ`Z\ e_ \mx dghidm furb i_j_f_sZxl dmjkhj aZ^Z\Zy l_f kZfuf ijb_fe_fuc jZa f_j jbkmgdZ jbk ?keb gm`gh baf_gblv lhevdh rbjbgm beb \ukhlm jbkmgdZ lh dmjkhj furb gZ\h^yl gZ ijZ\mx beb gb`gxx p_gljZevgu_ lhqdb h[eZklb \u^_e_gby jb kmgdZ khhl\_lkl\_ggh >Zevg_crZy ijhp_^mjZ lZdZy `_ gZ`bfZxl e_\mx dghidm furb b jZkly]b\Zxl beb k`bfZxl jbkmghd \ \u[jZgghf gZijZ\e_ gbb ^h gm`guo ]jZgbp GZ jbk ijh^_fhgkljbjh\Zgh dZd m\_ebqblv rb jbgm h[eZklb k ]jZnbdhf 



0DWKFDG

 









0DWKFDG



























  













 









=eZ\Z 

Jbk            

Jbk         

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



%          "           &                     "       "  

  $                   

















  

Jbk                

' !                      %                  (            "         "" "                  

                      "                    "  "          "                        "                               ! =RRP  '      ! !     ;< =RRP             











  















 























  

  



=eZ\Z 

Jbk              



Jbk   

 



      !   !

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



Jbk      

        

                        '  !                                      )      "       "        "           

                  &        #                          ' "          '  !            !                #                              

      



  



















  









 

























  







=eZ\Z 

Jbk        !     

Jbk  "       

  

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  

Jbk  

 

    !   

Jbk      

        





=eZ\Z 

                *      "            " +   "           !             "         !                "        "                    !                               "  $             "                           "             !                    "          %   !               

  

















  













  







  

































  

Jbk  #       

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



$    "                 , "                        +                                     !       " 











  









     

Hlh[jZ`_gb_fZkkb\h\^Zgguo '     "                      *     !         !                   !   -              

0DWKFDG













0DWKFDG





¡Âº¾·Â ÄÀ³Â²¸·¿º·¹¿²É·¿º»¾²Ãú´²

      "       !                                  "             '    !                      '       















 

Jbk          







=eZ\Z 

'                 

                                L             "   D !           L    VLQ 5L                   L   " 

   DL .                 !             "  !     #                                                                                            

   

























 































 



 







 



Jbk         

          "     "  

             !  '        !  E      D                    E      D  

























  

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



Jbk       ! 

 

   

                   "       %  !       ! '                                   !                

 

















Kha^Zgb_lj_of_jguo]jZnbdh\ /                          !                               "      "       *   "     "                           X                  X      X      X        X                "           (             

































 





























=eZ\Z 

Kha^Zgb_ih\_joghkl_c 0       "      '  !                                   "  "                 )                           





























¡Âº¾·Â•Â²Æº¼ÆÅ¿¼Èºº¶´ÅÇÁ·Â·¾·¿¿ÍÇ

'                 !    "      



  

Jbk   #              !        $ 

°

°

       !  " # $%  &    "         

                                                 "     '                 %           "           '                           !                  '( &         ) & (                '            * + ,  * + -           !                 "           . % "                    

 







  











  















  





















=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  

Jbk  #      %     

Jbk   & %       %  





=eZ\Z 

Jbk   '             ! 

Jbk        %     

%                           !               

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



    $    ) & (           "                          $#    "           ) & (                          !             































Hkgh\gu_gZkljhcdblj_of_jgh]h]jZnbdZ                         '( &   %   !        "   







 



Jbk   '            "#

     !       *            *                          !"          " * "           

       !    /  $           &

           " 01  $  ,  "                     1      &                 





















 

























=eZ\Z 

          '           !                  #                2  















LZ[ebpZ   M]eu hjb_glZpbb kbkl_fu dhhj^bgZl

Ihe_ ^ey \\h^Z m]eZ 5RWDWLRQ

HibkZgb_

7LOW

M]he ih\hjhlZ \hdjm] hkb [ kbkl_fu dhhj^bgZl ihem qZxs_cky ihke_ ih\hjhlZ \hdjm] hkb ] gZ m]he mdZaZg guc \ ihe_ 5RWDWLRQ AgZq_gb_f fh`_l [ulv qbkeh \ ^bZiZahg_ hl  ^h G

7ZLVW

M]he ih\hjhlZ \hdjm] hkb ] kbkl_fu dhhj^bgZl ihem qZxs_cky kgZqZeZ ih\hjhlhf \hdjm] hkb ] g_ih^\b`ghc kbkl_fu m]he ih\hjhlZ mdZaZg \ ihe_ 5RWDWLRQ b ihke_ ^mxsbf ih\hjhlhf \hdjm] gh\hc hkb [ m]he wlh]h ih\h jhlZ mdZaZg \ ihe_ 7LOW  AgZq_gb_f fh`_l [ulv qbkeh \ ^bZiZahg_ hl ± ^h G

M]he ih\hjhlZ kbkl_fu dhhj^bgZl hlghkbl_evgh g_ih^ \b`ghc dhhj^bgZlghc kbkl_fu \hdjm] hkb ] AgZq_gb_f fh`_l [ulv qbkeh \ ^bZiZahg_ hl ± ^h G

JZa^_e  kh^_j`bl \k_]h ^\_ hipbb    b   GZeb qb_ neZ`dZ hipbb ijb\h^bl d hlh[jZ`_gbx ]jZgbpu h[eZklb jbkmgdZ ijb _]h \u^_e_gbb b jZfhd h]jZgbqb\Zxs_]h jbkmghd iZjZee_e_ibi_^Z khhl\_l kl\_ggh KijZ\Z hl hipbc jZkiheh`_gu ihey \u[hjZ p\_lZ Ijb Zdlb\ghc hipbb s_eqhd gZ wlhf ihe_ ijb\h^bl d hldjulbx ki_pbZevgh]h ^bZeh]h\h]h hdgZ \ dhlhjhf \u[bjZ_lky g_h[oh^bfuc p\_l ey [hevr_c gZ]ey^ghklb ij_^\Zjb l_evgh gZ \deZ^d_    qbkeh [Zah\uo maeh\ \^hev dhhj^bgZlguo hk_c ih dhlhjuf kljhblky ]jZnbd aZ\bkbfhklb mklZgh\e_gh jZ\guf 

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \ 0DWKFDG



LZ[ebpZ       

     

 

    

      

         

 

 ! 

   

" 

 # 

                            



              !    

  $

       



          

 

% 

   

        !   !

    

&

   

'       

 

$ 

     

       





LZ[ebpZ     

     

 

    

'    !

 

    

          

  

" 

 

     

 !   ! 

           $            "  &       "    !     #          "    " 

         #         "                  "  #                                                     !                         '                      $%       !                      "       " &'                                       " (   %         "   !     

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \ 



      " (   (      !                     

Jbk  >bZeh]h\h_ hdgh ' 3ORW )RUPDW hldjulh gZ \deZ^d_ $[HV

QZklh [u\Z_l g_h[oh^bfh \uihegblv gZ^ibkb \^hev dhhj^bgZlguo hk_c gZ ijbf_j \ y\ghf \b^_ mdZaZlv gZa\Zgb_ i_j_f_gghc < wlhf kemqZ_ mklZgZ\ eb\Zxl neZ`hd hipbb  < j_amevlZl_ ^hklmiguf klZgh\blky ihe_ kijZ \Z hl hipbb dm^Z \\h^blky gZ^ibkv hlh[jZ`Z_fZy \^hev khhl\_lkl\mxs_c dhhj^bgZlghc hkb NhjfZl hk_c gZkljZb\Z_lky \ jZa^_e_   A^_kv ij_^klZ\e_gZ hipby    gZebqb_ neZ`dZ dhlhjhc ijb\h^bl d hlh[jZ`_gbx qbke_g guo agZq_gbc m aZk_q_d \^hev hkb Ihfbfh wlhc hipbb lZf _klv we_f_gl \u [hjZ p\_lZ ebgbb dhhj^bgZlghc hkb    b ihe_ mklZgh\db lhesbgu ebgbb dhhj^bgZlghc hkb   GZdhg_p \ jZa^_e_   hij_ ^_eyxlky ]jZgbpu agZq_gbc ^ey hlh[jZ`_gby \^hev dhhj^bgZlghc hkb ?keb mklZgh\e_g neZ`hd hipbb   wlb ]jZgbpu hij_^_eyxlky kbkl_fhc Z\lhfZlbq_kdb Ijb hlkmlkl\bb neZ`dZ \ iheyo   b   mdZau\Z_lky fbgbfZevgh_ b fZdkbfZevgh_ agZq_gby ^bZiZahgZ hlh [jZ`_gby ^ey ^Zgghc dhhj^bgZlghc hkb kf jbk AZ]heh\hd ^ey ]jZnbdZ \\h^blky \ ihe_    gZ \deZ^d_  ^bZeh]h \h]h hdgZ  ! "   jbk Ihfbfh ihey    gZ \deZ^d_  bf__lky ]jmiiZ i_j_dexqZl_e_c ?keb i_j_dexqZl_ev gZoh^blky \ iheh`_gbb  # aZ]heh\hd hlh[jZ`Z_lky gZ^ ]jZnbdhf Qlh[u aZ]heh\hd hlh[jZ`Zeky ih^ ]jZnbdhf i_j_dexqZl_ev ^he`_g gZoh^blvky \ iheh`_gbb $  AZ]heh\hd g_ hlh[jZ`Z_lky _keb \u [jZgh iheh`_gb_ %& 

















































  





  



















=eZ\Z 

Jbk

 

>bZeh]h\h_ hdgh  

 hldjulh gZ \deZ^d_  

¡Âº¾·Â•Â²Æº¼Ã¹²µÀ½À´¼À¾

#         $    $ 

               &   

  

                   '    

   $         $$    ! "             '   '  "  '         

        '    

     (   '     $         

  

%         

  (    $  )   

       $ 

$    &         

             '                 

     

  

             $       )    

  

 

 $          

    #     )      

 

      "  

  

       $        )

    &         $ 

    $          

  &  





 









  





 















































=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  

Jbk

Jbk

 

 

Kha^Zgb_ aZ]heh\dZ ]jZnbdZ

>bZeh]h\h_ hdgh  

 hldjulh gZ \deZ^d_  





=eZ\Z 

    '          

 $   #    $           

     (      



         

  

              

  $   * $      '         

      $    $  )        '         %&   %       

 $            

 $     "       $            & $        

!  "     "  '                 $      $  

            )        

      *       (   

          

Jbk

 

          

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



+                           $  )    

      " 

   $ $           ,                  

$             )

 

   "        

  

        

$ 

 # $             





























Jbk

 



  

>bZeh]h\h_ hdgh  

 hldjulh gZ \deZ^d_  

                  

+          *                 

$                     

    

     

             

 

        ,   -                -      $   "      

 ' '((           

 

$   .      !((          

$  

       $            $             ! 

            

 

 $    

       #      























  

























=eZ\Z 



.(         

    $  

       #   &#&                 $   $       & $    ! "               

Jbk

 

>bZeh]h\h_ hdgh  

 hldjulh gZ \deZ^d_ !"!

            &#&  '      

+  " #       !   +    

+            -              " # "         !  $     

     

  $      $                 ) 

            

                

  

        $     )  

            ! 

     )            $  " " )  '((         $    )

             

  $            

.   / .   0

.   1          #    

     

 

$   $  

  

       

 

  

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



                     #   

   "          $  )

    )

     $        

% 2) "   

 

           $   

     &( 

¡Âº¾·Â•Â²Æº¼´Äž²¿· "    

    )         

Jbk

 #

    

      

* $                 

)                 &              

          $ $      



=eZ\Z 

Jbk

>bZeh]h\h_ hdgh  

 hldjulh gZ \deZ^d_ %

 $

 

          $  

 $       /     

 

       $           ) -    )     &     & & ) 

 & &

)     & &  

,         

 $    

    

   !          

    

        

         

  

         $     " 

    

       ,       

 & $      

        '          *   

        0            

  

   #      $3                    

*                 

                 



      %    

 $3       )     

          $

  

            

$3 $ & 















































   



 





   





























=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



    &        

  

          &   $   

 "               1   

    

 

  

!   

    

 

       "    

     

             

        #    

                !  3      

Jbk

>bZeh]h\h_ hdgh  

 hldjulh gZ \deZ^d_ &' 

 

¡Âº¾·Â™²¼Â²Ã¼²È´·ÄÀ¾ "              

  

    $   

              2    



             $$    ! "               

      

                 

   $   $   * $                 $   ! "   ,                     )  $      



=eZ\Z 

Jbk

 

     

   

               

     

Hlh[jZ`_gb_iZjZf_ljbq_kdboih\_joghkl_c               

   

   

   &   $           

          .           

   ,                -                      &        

   "             

                         / 

       

    .           #  $                                  

       

        #     

      

              .     

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



        ° °   

     $      .      ( "     

 $      $ 

     $       

   - 

               

   ,    



   

  $ 

¡Âº¾·Â¯½½ºÁÃÀº¶ #           

   

Jbk

 

  

M T   M  T

             

        [M T

] M T

 



M  T 

\ M T

T  1

            

 $   #    $ $            $  

$             

     $             $            

+4    



=eZ\Z 

  $$    ! "   "   

$  

       

¡Âº¾·Â•·½º¼Àº¶                     #   

      

    $   

Jbk

 

   

                      [X  Y  X  Y  \ X Y  X  Y ] X  Y  Y  $ : ;



 

"        

                      

   

                     

      $          °    °  "   

 $ $      .     !  "  3            ( "      

 $           $$    ! "       ! )  

   

 " 

=jZnbdZ b \bamZebaZpby j_amevlZlh\ \  



¡Âº¾·Â”º¿ÄÀ´²Ñ½º¿ºÑ #   

  

    



Jbk

 

        

"  

 

                                & $      

         '        $$    ! "       

     

                     

    5 (  &    23"  !      

"   

          $    

   

 

   $      *                         3      

           

   -  

    

     

        °    ° $        &      .      ( "     $ 

      

      

  



=eZ\Z 

¡Âº¾·ÂœÀ¿ÅÃ

#          

                         









Jbk

 



   

              

 1  

-   

       $

 

  

M   $   

  

   1 -    



 





        )

 !

¡Âº¾·Â–´²¸¶Í¶´²

Bkdexqbl_evgh ijhklhc ijbf_j ijh]jZffu \ dhlhjhc ijbkmlkl\m_l hi_jZ lhj ehdZevgh]h ijbk\Zb\Zgby ijb\_^_g gZ jbk Ijh]jZffZ khklhbl ba lj_o dhfZg^ bgkljmdpbc I_j\hc bgkljmdpb_c ehdZev ghc i_j_f_gghc L \ dZq_kl\_ agZq_gby ijbk\Zb\Z_lky qbkeh ey lh]h qlh[u m\b^_lv j_amevlZl \uiheg_gby ijh]jZffu ijh]jZff guc [ehd ke_^m_l \u^_eblv ebgbyfb j_^Zdlbjh\Zgby b gZ`Zlv deZ\brm l _ \\_klb hi_jZlhj jZ\_gkl\Z KblmZpby ijhbeexkljbjh\ZgZ gZ jbk JZamf__lky \ j_Zevguo kblmZpbyo g_h[oh^bfhklv \ kha^Zgbb lZdbo bkdexqb l_evgh ijhkluo ijh]jZff g_ \hagbdZ_l H[uqgh ijh]jZffu [he__ aZfukeh \Zlu Ijb wlhf ihfbfh hibku\Z\rboky jZg__ nmgdpbc ijbf_gyxlky _s_ b ki_pbZevgu_ hi_jZlhju h dhlhjuo j_qv ihc^_l ^Ze__ Gh ij_`^_ bf__l kfuke hklZgh\blvky gZ eh]bq_kdbo hi_jZlhjZo dhlhju_ qZklh \oh^yl \ kh klZ\ mkeh\guo hi_jZlhjh\ Mkeh\gu_ `_ hi_jZlhju bkdexqbl_evgh \Z`gu ihkdhevdm bf_ggh k bo ihfhsvx \ ijh]jZffZo j_Zebam_lky \_l\e_gb_ Ze]h jblfh\ ij_bfms_kl\h dhlhjh_ \u]h^gh hlebqZ_l ijh]jZffu hl h[uqgh]h gZ[hjZ dhfZg^ 





 













 











 

















!

 

































Ijh]jZffbjh\Zgb_ \ 0DWKFDG



Jbk  Ijbf_j ijhklhc ijh]jZffu

Jbk  ey lh]h qlh [u dhgklZglu [ueb ^hklmigu \ ijh_dl_ ^he`gZ [ulv y\gZy kkuedZ gZ [b[ ebhl_db ]^_ khhl\_lkl\mxsb_ ih^lbiu hibkZgu Ijb jZ[hl_ k dhg klZglu ba lZ[e ijboh^blky hibku\Zlv y\gh 

9%6FULSW

















 

 









± 







9%6FULSW













 

9%6FULSW





LZ[ebpZ     9%6FULSW      



 

  

7)4



# ( !  !   $"

2



   ' %

8  

) $  ! ! 8  

.

#

 ! .   $   



$

 !       $ 

*

%

 ! *      $  

$ 

 

&

 !    !  ! !  

  $       "    $  

*

'

 ! *         



9

 !     ($

+6 

3

&.  ! ! +6 

7



 ! 7     - 

 



/$  ! !  

1



 ! 1  ! (     

*+6 

#

 ! .  %

* )

$

 ! * )



'

 ! 

:

93

 ! ! "+  



=eZ\Z 

#            !     $   "5/0  $        %    !    !           

LZ[ebpZ     9%6FULSW        0VJ%R[



 

  

+;+



& '   + 

 ! 2.

+; 



 



 







  











 

!

 " 



#"$ 

%

#"$ 



#"$ 



#"$ 

&!

'' ()

%

& '   + ! 2.  &DQFHO

Hlh[jZ`_gb_ dghihd $ERUW 5HWU\ b ,JQRUH Hlh[jZ`_gb_ dghihd hklZlhqgh gZ]ey^_g ijbf_j \ dhlhjhf ijb s_eqd_ gZ dghid_ baf_gyxlky __ \g_rgb_ Zljb[mlu Hlj_^Zdlbjm_f dh^ kp_gZjby lZd qlh[u ijb s_eqd_ gZ dghid_ f_gyehkv __ gZa\Zgb_ Gh\uc dh^ ijhp_^mju    ijb\_ ^_g \ ebklbg]_  Ebklbg]   Baf_g_gguc dh^ ijhp_^mju 3XVK%WQB&OLFN                        H^bg   !  >\Z   "   Ljb "   " 

 #$   " 

L_i_jv gh\h_ agZq_gb_ ijbk\Zb\Z_fh_ i_j_f_gghc  jZ\gy_lky hklZldm hl ^_e_gby ij_^u^ms_]h gZ ljb iexk _^bgbpZ Ihwlhfm khhl\_lkl\mxsZy i_j_f_ggZy ijbgbfZ_l ijb dZ`^hf s_eqd_ ihke_^h\Zl_evgh agZq_gby h^bg ^\Z b ljb _s_ ghev \ kZfhf gZqZe_ ijb hldjulbb ^hdmf_glZ  >Ze__ ke_^m_l



=eZ\Z 

   %"   %  #        

                            #  &              ²

Jbk       

Jbk      

Jbk       '                            #       ($               )            &' *    

          

LZ[ebpZ   K\hckl\Z deZkkZ :9943  



&

Eh]bq_kdh_ agZq_gb_ hij_^_eyxs__ aZ^Z_lky eb khklhygb_ dghidb Z\lhfZlbq_kdb beb ^ey wlh]h gm`gu ki_pbZevgu_ h[jZ [hlqbdb kh[ulbc MklZgh\dZ beb kgylb_ j_`bfZ Z\lhfZlbq_kdh]h fZkrlZ[bjh\Zgby Ijbf_gy_lky k dghidZfbi_j_dexqZl_eyfb Wlh bg^_dk dghidb \ ]jmii_ i_j_dexqZl_e_c ih dhlhjhfm fh`gh kkueZlvky gZ khhl\_lkl\mxsmx dghidm Lbi dghidb AgZq_gb_  khhl\_lkl\m_l h[uqghc dghid_  ² dghid_hipbb b  ² dghid_i_j_dexqZl_ex

&' ()  

Ijh]jZffbjh\Zgb_ \ 0DWKFDG

 LZ[ebpZ   hdhgqZgb_

K\hckl\h

HibkZgb_ Ijbf_gy_lky k dghidZfbhipbyfb b dghidZfbi_j_dexqZl_eyfb K\hckl\h eh]bq_kdh_ agZq_gb_ hij_^_ey_l \u^_e_gZ \u[jZ gZ dghidZ beb g_l Eh]bq_kdh_ agZq_gb_ hij_^_eyxs__ ^hklmighklv we_f_glZ J_`bf hlh[jZ`_gby dghidb iehkdZy beb lj_of_jgZy Ijbf_gy_lky k dghidZfbi_j_dexqZl_eyfb B^_glbnbdZlhj ]jmiiu dghihdi_j_dexqZl_e_c J_`bf hlh[jZ`_gby l_dklZ ke_\Z ih hlghr_gbx gZijbf_j d kbf\hem hipbb beb i_j_dexqZl_ey J_`bf hlh[jZ`_gby gZa\Zgby dghidb \ g_kdhevdh kljhd K\hckl\h hij_^_eyxs__ \b^ dghidb dZd dghidbhipbb GZa\Zgb_ dghidb Eh]bq_kdh_ agZq_gb_ hij_^_eyxs__ bkihevam_lky eb bah[jZ `_gb_ ^ey hlh[jZ`_gby gZ dghid_ Eh]bq_kdh_ agZq_gb_ hij_^_eyxs__ bkihevam_lky eb ibdlh ]jZffZ ^ey hlh[jZ`_gby gZ dghid_

  

          

Qlh dZkZ_lky f_lh^h\ deZkkZ  lh djhf_ mihfbgZ\r_]hky m`_ !   klhbl h[jZlblv \gbfZgb_ _s_ gZ ^\Z "  hlh[jZ`_ gb_ ^bZeh]h\h]h hdgZ "  k bgnhjfZpb_c h[ we_f_gl_ mijZ\e_gby b #   \ha\jZsZ_l bg^_dk \u[jZggh]h we_f_glZ i_j_dexqZl_ey \ ]jmii_ Hgb bgh]^Z [u\Zxl ihe_agu Wlb k\hckl\Z b f_lh^u hlghkylky dh \k_f h[t_dlZf dghihqgh]h lbiZ h[uqguf dghidZf dghidZf hipbyf b dghidZf i_j_dexqZl_eyf IjZ\^Z \ aZ\bkbfhklb hl lbiZ dghidb jZ[hlZ k l_f beb bguf k\hckl\hf fh`_l bf_lv k\hb hkh[_gghklb 



































K\hckl\Zbf_lh^u we_f_glh\mijZ\e_gby A^_kv djZldh jZkkfhljbf hkgh\gu_ k\hckl\Z b f_lh^u ijhqbo we_f_glh\ mijZ\e_gby ^hklmiguo \ jZ[hqbo ^hdmf_glZo GZqg_f k jZkdju \Zxsboky kibkdh\ Kibkdb hlghkylky d deZkkm  k\hckl\Z dhlhjh]h ijb\_^_gu \ lZ[e F_lh^u deZkkZ  ijb\_^_gu \ lZ[e 

0DWKFDG





 

 







LZ[ebpZ       /LVW%R[

K\hckl\h

HibkZgb_   &      $ &           

 '       # "         %#                                        &' #                      !! (                    

   !!#"  "                  &      

%$ &$ &             

             !$" $ )          !$! $(           # &     

 #      #  $ &         

       

     *              ) #             

      LZ[ebpZ       /LVW%R[

F_lh^ " #$  #$

HibkZgb_ +     

          

,   

   

 

   

Ijh]jZffbjh\Zgb_ \ 

 LZ[ebpZ  hdhgqZgb_

F_lh^

 #$

 #$   #$ !   !  # #$

HibkZgb_ &       

    

   

 &       

    

                   )  

  

            

     

            & 



)    

( %%                   '            

LZ[ebpZ  K\hckl\Z deZkkZ 7H[W%R[

K\hckl\h "&# "#' ")#        $  %#  

   &   &' #

HibkZgb_                               $          

     (   #  &     )  

&                                     +     (  #  "#

    #      *   &            





LZ[ebpZ   

K\hckl\h

HibkZgb_

*

)               

#  

&   

       

+ 

     

  

                

%& # 

  !    #     #       

( ,

                   

 +

    !                  



! ( -

              

!$" $ 

)         

!$! $( 

'      



-           

 

  !  

) #

&   

        

* !

&       

 

(                       !           #        " #   (  " #       !   )              

LZ[ebpZ      

K\hckl\h

HibkZgb_

"

&    !   $

        $           

 .-

 .-

.    



      

 

&    

Ijh]jZffbjh\Zgb_ \ 

  LZ[ebpZ  hdhgqZgb_

K\hckl\h  $

HibkZgb_ )  

#  $

&       

% 

/     !    

( 

&                   





- 

#               

  

         

 # 

             

#'

"              

 $#'

"             $       $

 ! $

0      $



! $

0     $





-   

# +

%           

# &$

)!          

* %                  %           % +                         

¡Âº¾·Â£À´¾·ÃÄ¿À·ºÃÁÀ½Î¹À´²¿º· Ͻ·¾·¿ÄÀ´ÅÁ²´½·¿ºÑ *             %                            &               %      %  ,                         *             

        ,         





     -         %      

Jbk  >hdmf_gl k g_kdhevdbfb we_f_glZfb mijZ\e_gby

< \_jog_c qZklb ^hdmf_glZ jZaf_s_gZ ]jmiiZ i_j_dexqZl_e_c gZ ljb iheh`_ gby _dZjlh\Zy dhhj^bgZlZ lhqdb Z[kpbkkZ hij_^_ey_lky dZd nmgdpby iheyj guo dhhj^bgZl Khhl\_lkl\mxs__ mjZ\g_gb_ mklZgZ\eb\Z_l k\yav f_`^m ih eyjgufb b ^_dZjlh\ufb dhhj^bgZlZfb



[ U T



U˜ FRV

T



=eZ\Z 

Jbk   Ijhba\h^gZy hl nmgdpbb \ iheyjghc kbkl_f_ dhhj^bgZl

'            (                 





T 

˜  T

$        (                                         "                                                    )                         

) T 

G \ U T T GT G [ U T T GT

AZ^Zqb \ukr_c fZl_fZlbdb



$           *             

FRV T



) T o ˜ VLQ T ˜



˜ VLQ T ˜ FRV T  VLQ T



                "        #     

) T VLPSOLI\ o ˜ VLQ T ˜

FRV T 

˜ FRV T  

Jbk   =jZnbd nmgdpbb b __ ijhba\h^ghc \ iheyjghc kbkl_f_ dhhj^bgZl

%                #                                %                     "              



=eZ\Z 

  °  °                                +                                                       #                                   ,             

Ijhba\h^gu_\ukhdboihjy^dh\ -                             &                          &                                             G\ ? W G[ W             [  [ W  \??[[ W  [ GW

GW

?? AZ^ZqZ  ey h^ghagZqgh]h hij_^_e_gby aZ \bkbfhklb khhl\_lkl\mxs_c nmgdpbb hl Zj]mf_glZ g_h[oh^bfh ^hihegblv ihemq_gguc j_amevlZl _s_ b aZ\bkbfhklvx Zj]mf_glZ hl iZjZf_ljZ  









ey gZqZeZ gZihfgbf dZd \ kbf\hevghf \b^_ \uqbkeyxlky g_hij_^_e_ggu_ b hij_^_e_ggu_ bgl_]jZeu < ^hdmf_gl_ gZ jbk ijb\_^_gu khhl\_lkl \mxsb_ ijbf_ju KgZqZeZ hij_^_ey_lky nmgdpby dhlhjZy aZl_f b bgl_]jbjm_lky I_j\hc dhfZg^hc [_j_lky \ kbf\hevghf \b^_ g_hij_^_e_gguc bgl_]jZe hl wlhc nmgdpbb Ihke_ wlh]h hl lhc `_ nmgdpbb \uqbkey_lky bgl_]jZe \ mdZaZgguo ij_^_eZo GZdhg_p q_j_a hij_^_e_gguc bgl_]jZe hij_^_ey_lky nmgdpbh gZevgZy aZ\bkbfhklv ) ] < ih^ugl_]jZevghf \ujZ`_gbb ihfbfh i_j_f_g ghc bgl_]jbjh\Zgby ijbkmlkl\m_l _s_ i_j_f_ggZy iZjZf_lj < wlhf kemqZ_ 



 





























AZ^Zqb \ukr_c fZl_fZlbdb



   !   ' 0DWKFDG &    &     !    *  ) ]     ! '                     !  

Jbk          +          



       

'      

´ µ ¶

I [ G[ o

 ˜ H [˜ FRV [   ˜ H [˜ VLQ [ 





=eZ\Z 

'      



´5  µ    o ˜  5  ¶ 

 

+              





B

      

 

  





   !        "  





Djb\hebg_cgu_bgl_]jZeu

,        " " 

            (           '            !    '  !                         &        '                  [  [ W \  \ W  ]  ] W    I [ \ ]      































  

 



³ 

]^_

D

pbx

b

E

²

I [ \  ]









I [ \  ] GO

 

³ I [ W  \ W  ] W

[9c

,

ij_^_eu baf_g_gby iZjZf_ljZ

W



 \9c





 ]9c GW



?keb bgl_jij_lbjh\Zlv nmgd

dZd ebg_cgmx iehlghklv djb\hc \^hev dhglmjZ bgl_]jbjh\Z

gby lh j_amevlZlhf \uqbke_gby djb\hebg_cgh]h bgl_]jZeZ i_j\h]h jh^Z hl wlhc nmgdpbb ih mdZaZgghfm dhglmjm [m^_l fZkkZ khhl\_lkl\mxs_c djb\hc AgZq_gb_ djb\hebg_cgh]h bgl_]jZeZ i_j\h]h jh^Z g_ aZ\bkbl hl gZijZ\e_gby h[oh^Z djb\hc ijb bgl_]jbjh\Zgbb

AZ^ZqZ  Ze__ \ jZfdZo hi_jZlhjZ pbdeZ ]_g_jbjmxlky kemqZcgu_ qbkeZ b \uihegyxlky \k_ ijhqb_ g_h[oh^bfu_ ^_ckl\by Hgb ^hklZlhqgh ijhajZqgu b dhff_glZjb_\ ^mfZ_lky g_ lj_[mxl J_amevlZl _klv hlghr_gb_ ^\mo eh dZevguo i_j_f_gguo bgbpbZebabjh\Zgguo \ kZfhf gZqZe_ ijhp_^mju M wlhc aZ^Zqb _klv lhqgh_ ZgZeblbq_kdh_ j_r_gb_ dhlhjh_ a^_kv ijb\h^blv g_ [m^_f Hlf_lbf lhevdh qlh bkdhfZy nmgdpby jZkij_^_e_gby )[ [ [  [ ijb  [   gmex ijb hljbpZl_evghf Zj]mf_gl_ b _^bgbp_ ijb agZq_gbyo Zj]mf_glZ [hevrbo _^bgbpu < khhl\_lkl\bb 

















































































0DWKFDG

 





































²



OQ





²







  

         #$ ,           #$         

             !#   !   #$         '                    !  !    ! 

              !   !     !#       *  $        ! "  #$

       !

                     





 











 





















 









Jbk

 

            

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u

Jbk

Jbk

 

 



        

 

        

 

.    !       



      

        !  !   !                                     

            /    #                    



  

                       ##      

We_f_glZjgu_aZ^ZqbfZl_fZlbq_kdhcklZlbklbdb %                           $    !                                $                $         %              !        ,                       0  #$                 !   #$           1                      .      [  [  [3          N    DN





3

¦ [PN Q P 



2    

    N     EN   







Q

¦

Q P 



[P

[ N  ! 

[

     

       !   [

 D 



Q

¦ [P Q P 



2       !       '           ! !                 

                            !        0[P  D   0 [  0[P  D  '                  Q        Q  Q  .    '[P  8    0E  8  Q         $  

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u

   





     ,      

 $ 

   



3

¦ 2                           /                 $    $            $    #$ +            $ PHDQ . !          ! !      !     !

        % !    



   2 













 























    #  

3



3

– 2   !  

2 

3



   ¦

2 2





 !      $ JPHDQ    !  KPHDQ 2                          $ PHGLDQ "      

 !      $ PRGH %                   #$ %          $ YDU   9DU &     !   !            

  %                              $ VWGHY           6WGHY    !    $    

































































¡Âº¾·Â”ͳÀÂÀÉ¿Í· ÃIJĺÃĺɷüº·Dz²¼Ä·ÂºÃĺ¼º

                              

 !                                                























  

Jbk

Jbk

 

 

      

              

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



      #$        ! !

              $         3!     $          ! !

                 ! !

 )   

! !                  !    $                             *$  $                                      ! !

  $    $     $                        "         $         

Jbk

 

! 



  

"      ! !

        %   $      $   /   $        ! !

    $     $       !       $          $  $               $             ! !

   $     &    $  

    !

      $     *     ! !

  #        



%                 ! 

     #       !  !

 "   ! !

          .            ! !

  !         

Jbk

 

"         

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



                                 ,        ##$   $     !       $         K $      [ K  ^ [   [K   K `         $   ##$  $   $           ##$  $          



















 





! 









      $   $        ##$  $   ,     ##$   $               "  ##$  $                          *     ! ##$   $     $  $   $ !       $      ! 

      ! !     $    $    ##$  $  

$ 

 -  $   !                 







































¡Âº¾·ÂœÀ·½ÑȺÀ¿¿Í·Dz²¼Ä·ÂºÃĺ¼º

Ijbf_ju ijbf_g_gby ijhp_^mj FYDU b FRUU ihdZaZgu gZ jbk

 

Jbk  Dhjj_eypby ^Zgguo





=eZ\Z 

D kh`Ze_gbx ih dhwnnbpb_glm dhjj_eypbb ^Ze_dh g_ \k_]^Z fh`gh k^_eZlv \u\h^ h lhf kms_kl\m_l f_`^m ^Zggufb aZ\bkbfhklv beb g_l Ijbf_ju gZ jbk wlh ih^l\_j`^Zxl < ih^h[guo kemqZyo gm`gu ^jm]b_ f_lh^u 





 





J_]j_kkbhggucZgZeba

F_lh^u j_]j_kkbhggh]h ZgZebaZ iha\heyxl kljhblv fh^_eb hibku\Zxsb_ \aZbfhk\yav f_`^m gZ[hjZfb ^Zgguo JZkkfhljbf wlh [he__ ih^jh[gh Ij_^iheh`bf bf__lky ^\Z gZ[hjZ aZ\bkbfuo ^Zgguo ijbq_f dZq_kl\_gguc \b^ aZ\bkbfhklb lZd`_ ba\_kl_g Khhl\_lkl\mxsZy aZ\bkbfhklv ^Z_lky g_dh lhjhc nmgdpb_c \ dhlhjmx djhf_ Zj]mf_glZ \oh^yl g_ba\_klgu_ iZjZf_lju hij_^_ey_fu_ gZ hkgh\_ gZ[hjh\ ^Zgguo Hl bgl_jiheypbb lZdZy aZ^ZqZ ijbgpbibZevgh hlebqZ_lky l_f qlh qbkeh g_ba\_klguo iZjZf_ljh\ kms_kl \_ggh f_gvr_ [Zah\uo maeh\uo lhq_d nmgdpbhgZevghc aZ\bkbfhklb ih wlhfm ijb nbdkbjh\Zgghf lbi_ djb\hc ijh\_klb __ lZd qlh[u hgZ ijhoh^beZ q_j_a \k_ maeh\u_ lhqdb \ h[s_f kemqZ_ g_ m^Zklky Ihwlhfm a^_kv g_h[oh ^bf bghc djbl_jbc H[uqgh iZjZf_lju hij_^_eyxlky gZ hkgh\_ f_lh^Z gZb f_gvrbo d\Z^jZlh\ =eZ\gZy b^_y f_lh^Z khklhbl \ lhf qlh kmffZ d\Z^jZlh\ jZaghkl_c lZ[ebqguo agZq_gbc nmgdpbb b bo hp_ghd gZ hkgh\_ j_]j_kkbhg ghc nmgdpbb \ maeh\uo lhqdZo ^he`gZ [ulv fbgbfZevghc Bf_ggh wlbf djb l_jb_f jmdh\h^kl\mxlky kha^Z\Zy j_]j_kkbhggmx fh^_ev GZb[he__ ijhklZy j_]j_kkbhggZy fh^_ev ebg_cgZy < wlhf kemqZ_ aZ\bkb fhklv ^Z_lky khhlghr_gb_f \b^Z \ D[  E ]^_ q_j_a [ h[hagZq_g g_aZ\b kbfuc iZjZf_lj q_j_a \ aZ\bkbfuc Z iZjZf_lju D b E gm`gh gZclb bkoh^y ba klZlbklbq_kdbo ^Zgguo ^ey agZq_gbc aZ\bkbfh]h iZjZf_ljZ ^ \2 ` \ maeh\uo lhqdZo ^[2 ` P    Q Hij_^_e_gb_ wlbo iZjZf_ljh\ ih f_lh ^m gZbf_gvrbo d\Z^jZlh\ ih^jZamf_\Z_l fbgbfbaZpbx \ujZ`_gby 3 ¦ \ [2  \2  qlh ^Z_l D [\  [ ˜ \ [   [  b E \  D[ ]^_ q_jlZ 2  k\_jom h[hagZqZ_l mkj_^g_gb_ Wlb `_ \ujZ`_gby fh`gh aZibkZlv g_kdhevdh bgZq_ Ihkdhevdm \u[hjhqgZy dh\ZjbZpby kemqZcguo \_ebqbg [ b \ jZ\gZ [ \ [\  [ ˜ \ Z \u[hjhqgZy ^bki_jkby \_ebqbgu [ fh`_l [ulv aZib kZgZ dZd jZaghklv kj_^g_]h d\Z^jZlZ kemqZcghc \_ebqbgu b d\Z^jZlZ __ kj_^ g_]h l _ '[ [   [  lh D  FRY [ \ '[ H^gZdh \k_ wlh g_ klhev \Z`gh gZ ijZdlbd_ ihkdhevdm \ ^ey \uiheg_gby \k_\hafh`guo j_]j_kkbc \ lhf qbke_ b ebg_cghc j_]j_kkbb \kljh_gguo ijhp_^mj [hevr_ q_f ^hklZ lhqgh 

























































²











²

































FRY







 















0DWKFDG







Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



¡Âº¾·Âº¿·»¿²Ñ·µÂ·ÃúÀ¿¿²Ñ¾À¶·½Î

       # # 

LQWHUFHSW        

Jbk

 

OLQH  VORSH



   

+              #                OLQH           #  -  ##     , ,##                 LQWHUFHSW    VORSH    #   #            

    -             $                   # 





















 















=eZ\Z 

         .        #      #   -         #                       )#          #                  #   





 







¡Âº¾·Âž·¶º²¿¿Í»¾·ÄÀ¶

                   #          #                                  







 







Jbk      

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



/           #      

      #          )                        /             

                     #               # *    &   %#  # &   #        #       

& #  %&         











 





































3

       

&         /             #         -          ##  0

 #    # #                     

  [        )     

              -      #                #    "   #    #                                          #       

      #        #          1           

      #                 #   





¦

  2 



2





2 



 





























 





































¡Âº¾·Â¡À½º¿À¾º²½Î¿²Ñ·µÂ·ÃúÑ

      #                     #     

 #            #   

    -                     #   # #    # %                 !         &   

   &        















































=eZ\Z 

Jbk

 

    

¡Âº¾·Â¢·µÂ·ÃúѺº¿Ä·ÂÁÀ½ÑȺÑ

    #                    2   &                           

     &                            

    %            #    #                         #                          #   





  































Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u

Jbk



                

 

       #        #            # 3                  #  %  #  #  #                     

 #  )    #    &       # 4             

       #      #      

      #              #   # 



















 

















=eZ\Z 

¡Âº¾·Â¢·µÂ·ÃúÑÁÀ½º¿À¾²¾º´ÄÀÂÀ»ÃÄ·Á·¿º

              

   



 

Jbk         

          #                  #  

     -               #                             

          



















Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



                #   &  $       #      #                      #           





 









 



 

LZ[ebpZ  Ijhp_^mju ^ey kha^Zgby j_]j_kkbb

Ijhp_^mjZ  

HibkZgb_ Wdkihg_gpbZevgZy j_]j_kkby J_]j_kkbhggZy fh ^_ev gZ hkgh\_ \ujZ`_gby \ D H[S E[  F < ijh p_kk_ ihkljh_gby fh^_eb gZoh^ylky iZjZf_lju , - b . :j]mf_glZfb ijhp_^mju mdZau\Zxl \_dlhj maeh\uo lhq_d  \_dlhj agZq_gbc aZ\bkbfh]h iZjZ f_ljZ \ maeh\uo lhqdZo Fh`gh mdZaZlv lZd`_ lj_ lbc iZjZf_lj \_dlhj k gZqZevgufb hp_ghqgufb agZq_gbyfb ^ey iZjZf_ljh\ , - b . Eh]Zjbnfbq_kdZy j_]j_kkby J_]j_kkbhggZy fh^_ev gZ hkgh\_ \ujZ`_gby \ D OQ [  E  F < ijhp_kk_ ihkljh_gby fh^_eb gZoh^ylky iZjZf_lju , - b . :j]mf_glZfb ijhp_^mju mdZau\Zxl \_dlhj maeh \uo lhq_d  \_dlhj agZq_gbc aZ\bkbfh]h iZjZf_ljZ \ maeh\uo lhqdZo lj_lbc iZjZf_lj \_dlhj k gZqZevgufb hp_ghqgufb agZq_gbyfb ^ey iZjZf_l jh\ , - b . Mijhs_ggZy eh]Zjbnfbq_kdZy j_]j_kkby J_]j_kkb hggZy fh^_ev gZ hkgh\_ \ujZ`_gby \ D OQ [  F < ijhp_kk_ ihkljh_gby fh^_eb gZoh^ylky iZjZf_l ju , b . :j]mf_glZfb ijhp_^mju mdZau\Zxl \_d lhju maeh\uo lhq_d  b agZq_gbc aZ\bkbfh]h iZjZ f_ljZ \ maeh\uo lhqdZo Eh]bklbq_kdZy j_]j_kkby J_]j_kkbhggZy fh^_ev gZ hkgh\_ \ujZ`_gby \ D   E H[S F[ Bsmlky iZ jZf_lju , - b . :j]mf_glu ijhp_^mju \_dlh ju  maeh\uo lhq_d agZq_gbc aZ\bkbfh]h iZjZ f_ljZ \ maeh\uo lhqdZo gZqZevguo hp_ghqguo agZq_gbc ^ey iZjZf_ljh\ , - b . Kl_i_ggZy j_]j_kkby J_]j_kkbhggZy fh^_ev gZ hkgh\_ \ujZ`_gby \ D[-  F Bsmlky iZjZf_lju , - b . :j]mf_glu ijhp_^mju \_dlhju  ma eh\uo lhq_d agZq_gbc aZ\bkbfh]h iZjZf_ljZ \ maeh\uo lhqdZo gZqZevguo hp_ghqguo agZq_gbc ^ey iZjZf_ljh\ , - b . 



















²



  















²





















 











²











 









²











=eZ\Z 

LZ[ebpZ  hdhgqZgb_

Ijhp_^mjZ

HibkZgb_

 

&  

   

      \ D  [  E  F  $#    ,  - .    ²                                 

, -



.

 

 

       '   !        (          )      ²                 (      

  

*'#

 

  %     !            #    '     #         )        (             !   +          (           ' !           (    (    !      (  ²      ( !             

  (    

Ze__ jZkkfhljbf g_dhlhju_ ijbf_ju ihkljh_gby j_]j_kkbhgguo fh^_e_c gZ hkgh\_ mdZaZgguo \kljh_g guo ijhp_^mj  





0DWKFDG

¡Âº¾·Â¤ÂºµÀ¿À¾·Äºɷü²Ñ·µÂ·ÃúÑ

GZ jbk ijb\_^_g njZ]f_gl ^hdmf_glZ \ dhlhjhf \uihegy_lky ljb]hgh f_ljbq_kdZy kbgmkhb^ZevgZy j_]j_kkby KjZam hlf_lbf qlh \k_ ijhqb_ j_] j_kkbhggu_ fh^_eb k ij_^hij_^_e_ggh]h lbiZ j_]j_kkbhggufb nmgdpbyfb kljhylky lZd `_ NZdlbq_kdb ihkljh_gb_ fh^_eb jZa[blh gZ ^\Z wlZiZ GZ i_j\hf gZoh^ylky iZjZf_lju j_]j_kkbhgghc aZ\bkbfhklb Ijb wlhf \Z`_g \u[hj gZqZevgh]h ijb[eb`_gby ^ey iZjZf_ljh\ fh^_eb Wlh klZg^ZjlgZy kblmZpby ^ey kemqZy  































Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



                #             !                  & #             #    $                  '                     !    !      (       !  & $                        



























  













Jbk  Ljb]hghf_ljbq_kdZy j_]j_kkby





=eZ\Z 

¡Âº¾·Â¢·µÂ·ÃúÑ ¿²ÀÿÀ´·¼À¾³º¿²ÈººÆÅ¿¼Èº»

          )                                 #                           







Jbk

 

     dhf[bgZpbb [Zabkguo nmgdpbc

AZ\bkbfhklv nhjfbjh\ZeZkv bf_ggh gZ hkgh\_ nmgdpbc dhlhju_ b \u[jZgu \ dZq_kl\_ [Zabkguo ijb kha^Zgbb j_]j_kkbhgghc fh^_eb JZamf__lky wlh g_

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u

 

                                           !                                          OLQILW  "                                             

 #                                        

¡Âº¾·Â¢·µÂ·ÃúÑÀ³Ë·µÀ´º¶² !                  

 $     %

  $       &                               ' (     (    

      )                   JHQILW  *             

          $  (     +                  *                                            +

            (   '             

          )(           (            &  (  (            +

                   ,                                            *                 (   "             



  

            *       (             -            &      (          $ )  $  (      &    (                   *                (     

Jbk  

  

Qbke_ggu_ b klZlbklbq_kdb_ f_lh^u



LZ[ebpZ  Ijhp_^mju ^ey k]eZ`b\Zgby ^Zgguo

Ijhp_^mjZ



 







HibkZgb_ GZ[hj ^Zgguo i_j\uc Zj]mf_gl  k]eZ`b\Z_lky ih f_lh ^m kdhevays_c f_^bZgu