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4 VNXSRYL1 IXQNFLMH1 UHDOQL EURMHYL1 6414 RVQRYH PDWHPDWLFNH ORJLNH 1 1 1 1 1 1 1 1 1 1 1 1 1 6
41414 Orjlfnl vxg 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 641415 Rshuludqmh vxgrylpd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 741416 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9
415 VNXSRYL L UHODFLMH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 941514 Vnxs 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 941515 Rshuludqmh vnxsrylpd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 :41516 Uhodflmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ;41517 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 43
416 IXQNFLMH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4441614 Ixqnflmd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4441615 Ixqnflmvnd nrpsr}lflmd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4541616 Lqyhu}qd ixqnflmd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4641617 Nduglqdoql eurm 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4741618 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 48
417 UHDOQL EURMHYL 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4941714 Sulurgql l flmhol eurmhyl 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4941715 Udflrqdoql eurmhyl 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5641716 Dsvroxwqd yulmhgqrvw uhdoqrj eurmd 1 1 1 1 1 1 1 1 1 1 1 5<41717 Srwhqfludqmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6341718 Nrpelqdwrulfnh rvqryh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6641719 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6<
418 NRPSOHNVQL EURMHYL 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7441814 Srmdp l rvqryqh rshudflmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7541815 Jhrphwulmvnl sulnd} nrpsohnvqrj eurmd 1 1 1 1 1 1 1 1 1 7641816 Wuljrqrphwulmvnl }dslv nrpsohnvqrj eurmd 1 1 1 1 1 1 1 7741817 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 79
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5 OLQHDUQD DOJHEUD 7<514 PDWULFH L GHWHUPLQDQWH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7<
51414 Pdwulfd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7<51415 Ghwhuplqdqwd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8651416 Pdwulflq udqj 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9351417 Umhµdydqmh vxvwdyd olqhduqlk mhgqdg}ded 1 1 1 1 1 1 1 1 9651418 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9;
515 YHNWRUVND DOJHEUD 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9<51514 Xvpmhuhqd gx}lqd l yhnwru 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9<51515 Yhnwru x suryrnxwqrp nrruglqdwqrp vxvwdyx 1 1 1 1 1 :651516 Yhnwruvnd pqr}hqmd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ::51517 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ;5
516 DQDOLWLFND JHRPHWULMD 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ;651614 Sudydf x survwrux l x udyqlql 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ;651615 Udyqlqd x survwrux 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ;851616 Ph¡xrgqrvl wrfdnd/ sudydfd l udyqlqd 1 1 1 1 1 1 1 1 1 ;:51617 Qhnh nulyxomh l sorkh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ;<51618 Sroduql/ flolqgulfql l vihuql nrruglqdwql vxvwdyl 1 1 1 1 1 <951619 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 <<
6 NRQYHUJHQFLMD L QHSUHNLGQRVW 434614 HOHPHQWDUQH IXQNFLMH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 434
61414 ]dgdydqmh ixqnflmd l} U x U 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 43461415 Joredoqd vyrmvwyd uhdoqlk ixqnflmd 1 1 1 1 1 1 1 1 1 1 1 43761416 Rvqryqh hohphqwduqh ixqnflmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 43961417 Ud}uhged hohphqwduqlk ixqnflmd 1 1 1 1 1 1 1 1 1 1 1 1 1 44561418 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 447
615 NRQYHUJHQFLMD QL]RYD L UHGRYD 1 1 1 1 1 1 1 1 1 1 1 44861514 Ql} uhdoqlk eurmhyd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 44861515 Vyrmvwyd nrqyhujhqwqlk +srg,ql}ryd 1 1 1 1 1 1 1 1 1 1 44;61516 Uhg uhdoqlk eurmhyd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 45661517 Qhnrolnr nulwhulmd }d nrqyhujhqwqrvw uhdoqrj uhgd 1 1 1 45861518 Ixqnflmvnl ql} 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 45<61519 Ixqnflmvnl uhg 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4646151: Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 466
616 QHSUHNLGQH IXQNFLMH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 46861614 Judqlfqd yulmhgqrvw x ehvnrqdfqrvwl 1 1 1 1 1 1 1 1 1 1 46861615 Judqlfqd yulmhgqrvw x wrfnl 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 46961616 Qhsuhnlgqrvw 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 47361617 Vyrmvwyd qhsuhnlgqh ixqnflmh qd vhjphqwx 1 1 1 1 1 1 1 47861618 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 483
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7 LQILQLWH]LPDOQL UDFXQ 484714 GHULYDFLMD 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 484
71414 Ghulydeloqrvw l qmh}lqr }qdfhqmh 1 1 1 1 1 1 1 1 1 1 1 1 1 48471415 Ghulydflmh hohphqwduqlk ixqnflmd 1 1 1 1 1 1 1 1 1 1 1 1 48871416 Glihuhqflmdo 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 49371417 Rvqryql whruhpl glihuhqflmdoqrjd udfxqd 1 1 1 1 1 1 1 1 49771418 Wd|oruryd irupxod 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 49;71419 Ghulyludqmh ixqnflmvnrj uhgd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4:57141: Rguh¡lydqmh ixqnflmvnrj wlmhnd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4:77141; Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4;8
�� ���� ���������� �� ���715 QHRGUHÓHQL LQWHJUDO 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4<3
71514 Srmdp l rvqryqd vyrmvwyd qhrguh¡hqrj lqwhjudod 1 1 1 4<371515 Rvqryqh lqwhjudflmvnh phwrgh1 1 1 1 1 1 1 1 1 1 1 1 1 1 4<771516 Lqwhjuludqmh qhnlk hohphqwduqlk ixqnflmd 1 1 1 1 1 1 1 1 4<:71517 Lqwhjuludqmh ixqnflmvnrj uhgd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 53671518 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 538
716 RGUHÓHQL LQWHJUDO 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 53871614 Srmdp l rvqryqd vyrmvwyd rguh¡hqrj lqwhjudod 1 1 1 1 1 53971615 Qhnl suleol}ql lqwhjudflmvnl srvwxsfl1 1 1 1 1 1 1 1 1 1 1 54771616 Qhsudyl lqwhjudo 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 54<71617 Qhnrolnr sulpmhqd rguh¡hqrj lqwhjudod 1 1 1 1 1 1 1 1 1 55671618 Ymh}eh1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 565
8 IXQNFLMD YL�H YDULMDEOD 568814 IXQNFLMH L] U6 X U 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 568
81414 ]dgdydqmh vndoduqlk ixqnflmd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 56881415 Judqlfqd yulmhgqrvw l qhsuhnlgqrvw 1 1 1 1 1 1 1 1 1 1 1 56;81416 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 576
815 GLIHUHQFLUDQMH VNDODUQLK IXQNFLMD 1 1 1 1 1 1 1 57781514 Sduflmdoqh ghulydflmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 57781515 Glihuhqflmdo 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 57981516 Sduflmdoqh ghulydflmh ylµlk uhgryd 1 1 1 1 1 1 1 1 1 1 1 1 58581517 Hj}dnwqd glihuhqflmdoqd irupd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 58:81518 Wd|oruryd irupxod 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 58<81519 Orndoqh hnvwuhpqh yulmhgqrvwl 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5958151: Revwrmqrvw lpsolflwqh ixqnflmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5998151; Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 59<
816 LQWHJULUDQMH VNDODUQLK IXQNFLMD 1 1 1 1 1 1 1 1 1 5:481614 Ylµhvwuxnl lqwhjudo 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5:481615 L}udfxqdydqmh l sulpmhqd ylµhvwuxnrj lqwhjudod 1 1 1 1 1 5:681616 Lqwhjudo rylvdq r sdudphwux 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5:<
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81617 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5;7
9 XYRG X YHNWRUVNX DQDOL]X 5;:914 YHNWRUVNH IXQNFLMH 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5;:
91414 Qhsuhnlgqrvw yhnwruvnh ixqnflmh 1 1 1 1 1 1 1 1 1 1 1 1 1 5;:91415 Glihuhqflmdeloqrvw yhnwruvnh ixqnflmh 1 1 1 1 1 1 1 1 1 1 5;<91416 Lqwhjudo yhnwruvnh ixqnflmh mhgqh ydulmdeoh 1 1 1 1 1 1 1 5<691417 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5<7
915 XYRG X WHRULMX R SROMLPD 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5<891514 Vndoduqr l yhnwruvnr sromh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5<891515 Judglmhqw/ glyhujhqflmd l urwdflmd 1 1 1 1 1 1 1 1 1 1 1 1 5<;91516 Xvpmhuhqd ghulydflmd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 63591517 Qhnd srvheqd yhnwruvnd sromd 1 1 1 1 1 1 1 1 1 1 1 1 1 1 63891518 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 63<
916 NULYXOMQL LQWHJUDO 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 63<91614 Nulyxomd l qmh}lqr xvpmhuhqmh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 63<91615 Nulyxomql lqwhjudo suyh yuvwh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 64491616 Nulyxomql lqwhjudo guxjh yuvwh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 64691617 Nulyxomql lqwhjudo x srwhqflmdoqrp sromx 1 1 1 1 1 1 1 1 64991618 Juhhqryd irupxod 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 64<91619 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 655
917 SOR�QL LQWHJUDO 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 65691714 Jodwnd sorkd l qmh}lqd sorµwlqd 1 1 1 1 1 1 1 1 1 1 1 1 1 65691715 Sorµql lqwhjudo suyh yuvwh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 65991716 Sorµql lqwhjudo guxjh yuvwh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 65;91717 Rvwurjudgvnl0Jdxvvryd irupxod 1 1 1 1 1 1 1 1 1 1 1 1 1 66591718 Vwrnhvryd irupxod 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 66791719 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 66:
: RELFQH GLIHUHQFLMDOQH MHGQDG]EH 66<:14 UMH�HQMH 0 REVWRMQRVW L MHGLQVWYHQRVW 1 1 1 1 1 1 66<
:1414 R glihuhqflmdoqlp mhgqdg}edpd rs�fhqlwr 1 1 1 1 1 1 1 1 66<:1415 Slfdugry whruhp 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 674:1416 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 679
:15 GLIHUHQFLMDOQH MHGQDG]EH SUYRJD UHGD 1 1 1 1 67::1514 Glihuhqflmdoqd mhgqdg}ed v rgmhomlylp ydulmdeodpd 1 1 1 67;:1515 Krprjhqd glihuhqflmdoqd mhgqdg}ed 1 1 1 1 1 1 1 1 1 1 1 683:1516 Olqhduqd glihuhqflmdoqd mhgqdg}ed 1 1 1 1 1 1 1 1 1 1 1 1 684:1517 Hj}dnwqd glihuhqflmdoqd mhgqdg}ed 1 1 1 1 1 1 1 1 1 1 1 685:1518 Vxvwdy rg gylmx relfqlk glihuhqflmdoqlk mhgqdg}ded 1 1 687:1519 Ymh}eh 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 687
:16 GLIHUHQFLMDOQH MHGQDG]EH GUXJRJD UHGD 1 1 1 688:1614 Glihuhqflmdoqd mhgqdg}ed I +{> |�> |��, @ 3 1 1 1 1 1 1 1 1 688:1615 Glihuhqflmdoqd mhgqdg}ed I +|> |�> |��, @ 3 1 1 1 1 1 1 1 1 689
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4161 IXQNFLMH 44
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Gh�qlflmd 41614 Srg ixqnflmrp srgud}xplmhydpr vydnl xuh¡hql wurvorj
+[> i> \ ,/ sul fhpx vx [ l \ vnxsryl/ d i mh elor nrmh sudylor sr nrmhpx
vh vydnrp hohphqwx { 5 [ sulgux}xmh wrfqr mhgdq hohphqw | 5 \ 1
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]d gdqx ixqnflmx i = [ $ \ / vnxs [ qd}lydpr gh�qlflmvnlp srgux0fmhp +lol grphqrp/ r}qdnd= Gs ,/ vnxs \ yulmhgqrvqlp srguxfmhp +lolnrgrphqrp/ r}qdnd= Us ,/ d hohphqw | @ i+{, yulmhgqrµ�fx +qd hohphqwx{, ixqnflmh i 1 Srqhndg vh nd}h gd mh { qh}dylvqd ydulmdeod +lol dujxphqw,/d | }dylvqd ydulmdeod ixqnflmh i 1 Volnrylwr vh ixqnflmx qdmfhµ�fh sulnd}xmhndr qd fuwh}x=
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wlfnx ixqnflmx +lol lghqwlwhwx, 4t = \ $ \ / 4t +|, @ |1 +Sulplmhwlpr gdvx/ rs�fhqlwr/ lqnox}lmd l lghqwlwhwd ph¡xvreqr ud}olflwh/ mhu vx lp grphqhud}olflwh1,
51 Qhnd vx ixqnflmh sf = [ � \ $ [ l st = [ � \ $ \ gh�qludqhuhgrp sudylolpd sf+{> |, @ { l st +{> |, @ |/ +{> |, 5 [ � \ 1 Wr vx w}y1surmhnflmh l} gluhnwqrjd surgxnwd [ � \ qd idnwruh [ l \ uhgrp1
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4161 IXQNFLMH 46
Grnd}1 ]d vydnl { 5 [ mh +k+ji,,+{, @ k++ji,+{,, @ k+j+i+{,,, @+kj,+i+{,, @ ++kj,i,+{,/ gdnoh/ k+ji, @ +kj,i 1
Wyugqmd 41615 ]d vydnx ixqnflmx i = [ $ \ mh i4f @ i l 4t i @ i / jgmh
vx 4f l 4t sulsdgqh lghqwlwhwh1 +Grnd} suhsxµwdpr flwdwhomx1,
Qhnd vx [ � � [/ \ � � \ +srg,vnxsryl l qhnd }d ixqnflmh i � = [ � $\ � l i = [ $ \ yulmhgl +;{� 5 [ �, i �+{�, @ i+{�,1 Wdgd nd}hpr gd mhi � vx}hqmh +lol uhvwulnflmd, ixqnflmh i / rgqrvqr/ gd mh i surµluhqmh +lolhnvwhq}lmd, ixqnflmh i �1 Dnr mh/ srvhelfh/ \ � @ \ rqgd slµhpr i � @ i mf� 1Sulplmhwlpr gd mh/ }d vydnx ixqnflmx i = [ $ \ / vx}hqmh qd vydnl srgvnxs[ � � [ mhgqr}qdfqr rguh¡hqd wlp srgvnxsrp1 Ph¡xwlp/ dqdorjqd wyugqmd}d surµluhqmh qlmh lvwlqlwd1
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Gh�qlflmd 41616 Qhnd vx gdql ixqnflmd i = [ $ \ l srgvnxsryl D �[>E � \ 1 Volnrp vnxsd D sr ixqnflml i vpdwudpr vnxs i ^D` @ i| @i+{, m { 5 Dj � \ 1 X voxfdmx D @ [ l i ^[` @ i|j +mhgqrfodq vnxs,/ixqnflmx i qd}lydpr nrqvwdqwqrp ixqnflmrp +lol nrqvwdqwrp, x hoh0
phqw | 5 \ l r}qdfxmhpr i @ f+/ d x voxfdmx i ^[` @ \ 0 vxumhnwlyqrp
ixqnflmrp +lol vxumhnflmrp lol suhvolndydqmhp �qd�,1Reudwqrp volnrp +lol ruljlqdorp, vnxsd E sr ixqnflml i vpdwudpr vnxs
i3�^E` @ i{ m i+{, 5 Ej � [1 +Rsuh}$ X r}qdfl i3�^E` glr i3� qh
r}qdfxmh ixqnflmx +l} \ x [,1 Rydm i3� vh lsdn pr}h lqwhusuhwludwl ndrixqnflmd/ dol l} \ x 5f / vwdyomdmx�fl | :$ i3�+|, @ i3�^i|j`1 Qdpd �fh/ lqdfh/x rylp suhgdydqmlpd i3� vox}lwl }d r}qdfdydqmh w}y1 lqyhu}qh ixqnflmh 0y1 Whruhp 416141, Dnr mh +;| 5 \ , i3�^i|j` @ i{j mhgqrfodq srgvnxs
rg [/ rqgd nd}hpr gd mh i lqmhnwlyqd ixqnflmd +lol lqmhnflmd lol �404�0
suhvolndydqmh,1
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L} Gh�qlflmh 41616 l}udyqr volmhgl=i = [ $ \ mh lqmhnflmd / ++;{> {� 5 [, i+{, @ i+{�,, { @ {�,>i = [ $ \ mh vxumhnflmd / ++;| 5 \ ,+<{ 5 [, i+{, @ |,1
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srvwrml ixqnflmd j = \ $ [ wdnyd gd mh ji @ 4f l ij @ 4t 1 Ixqnflmd j mh/
wdnr¡hu/ elmhnflmd/ mhglqvwyhqd mh/ d qd}lydpr mx lqyhu}qrp ixqnflmrp
ixqnflmh i l r}qdfxmhpr v i3�1
47 SRJODYOMH 41 VNXSRYL1 IXQNFLMH1 UHDOQL EURMHYL1
Grnd}1 Qhnd mh i = [ $ \ elmhnflmd1 Exgx�fl gd wdgd }d vydnl { 5 [
srvwrml wrfqr mhgdq | 5 \ }d nrml mh i+{, @ |/ prjx�fh mh gh�qludwl ixqnflmxj = \ $ [ sudylorp j+|, @ { flp mh | @ i+{,1 ]d nrpsr}lflmh grelydpr=ji+{, @ j+|, @ { @ 4f+{,/ }d vydnl { 5 [/ l ij+|, @ i+{, @ | @ 4t +|,/}d vydnl | 5 \ 1 Reudwqr/ qhnd }d i = [ $ \ srvwrml j = \ $ [ wdnrgd mh ji @ 4f l ij @ 4t 1 Dnr mh | 5 \ / x}plpr { @ j+|, 5 [/ sd
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wdnyh gd mh ji @ 4f @ j�i l ij @ 4t @ ij�1 Wdgd mh/ }d vydnl | 5 \ /j+|, @ 4f+j+|,, @ +j�i,+j+|,, @ j�++ij,+|,, @ j�+4t +|,, @ j�+|,/ gdnoh/j @ j�1
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i = [ $ \ 1
Hnylsrwhqwqrvw vnxsryd mh/ rflwr/ ud}uhgehqd uhodflmd qd nodvl4 vylk vnx0sryd/ sd vh vnxsryl vyuvwdydmx x glvmxqnwqh hnylsrwhqflmvnh ud}uhgh1 Ud}uhgnrmhpx sulsdgd vnxs [ qd}lydpr nduglqdoqlp eurmhp +lol jodyqlp eur0
mhp lol srwhqflmrp, vnxsd [ l r}qdfxmhpr v m[m lol v fdug[1
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srgvnxs [ � � [ l elmhnflmd i = [ $ [ �1 Dnr vnxs [ qlmh ehvnrqdfdq/ uh�fl
�fhpr gd mh nrqdfdq1
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[ +ehv,nrqdfdq wrfqr rqgd ndg mh \ +ehv,nrqdfdq1
Grnd}1 Sr Gh�qlflmdpd 41619 l 41618/ }d grnd} relmx hnylydohqflmd/ gr0yromqr mh grnd}dwl vdpr mhgqx lpsolndflmx1 Qhnd mh [ ehvnrqdfdq1 Wdgdsrvwrmh [ � � [ l elmhnflmd i = [ $ [ �1 Exgx�fl gd m[m @ m\ m/ srvwrml l qhndelmhnflmd j = [ $ \ 1 Qhnd mh \ � @ j^[ �` sd mh vljxuqr \ � � \ sudyl srg0vnxs1 Gh�qludmpr ixqnflmx j� = [ � $ \ � ndr vx}hqmh j mf� 1 Wdgd mh j� greurgh�qludqd l rflwr mh elmhnwlyqd1 Qdsrnrq/ nrpsr}lflmd k @ j�ij3� = \ $ \ �
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4161 IXQNFLMH 48
Gh�qlflmd 4161: Uh�fl �fhpr gd mh nduglqdoql eurm vnxsd [ pdqml lol mhgqdn
rg nduglqdoqrj eurmd vnxsd \ l slvdwl m[m � m\ m +lol fdug[ � fdug\ ,/dnr srvwrml qhnd lqmhnflmd i = [ $ \ 1 Dnr mh m[m � m\ m/ d [ l \ qlvx
hnylsrwhqwql +wm1 m[m 9@ m\ m,/ uh�fl �fhpr gd mh nduglqdoql eurm rg [ pdqml rg
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d dnr mh \ nrqdfdq vnxs rqgd mh wdndy l [1
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l elmhnflmd i = [ $ [ �1 Qhnd mh \ � glvmxqnwqd xqlmd [ �W+\ q [,/ sd mh
\ � � \ sudyl srgvnxs1 Gh�qludmpr ixqnflmx j = \ $ \ � sudylorp i qd [ �
l lqnox}lmrp qd \ q[/ wm1 +;| � { 5 [ �, j+|, @ i+{, l +;| 5 \ q[, j+|, @|1 Wulylmdoqr mh surymhulwl gd mh j elmhnflmd/ µwr }qdfl gd mh \ ehvnrqdfdqvnxs1 V guxjh vwudqh/ dnr mh \ nrqdfdq vnxs rqgd wdndy prud elwl l vydnlqmhjry srgvnxs [/ mhu el surwlyqd suhwsrvwdynd gryhod/ qd rslvdql qdflq/gr }dnomxfnd gd mh \ ehvnrqdfdq 0 surwxvoryomh1
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+d, Dnr mh ji = [ $ ] lqmhnflmd rqgd mh l i lqmhnflmd=+e, dnr mh ji =[ $ ] vxumhnflmd rqgd mh l j vxumhnflmd1
61 Grnd}dwl gd mh/ }d vydnx elmhnflmx i = [ $ \ / +i3�,3� @ i 171 Grnd}dwl gd mh nrpsr}lflmd ji rg elmhnflmd j l i rshw elmhnflmd181 Qhnd mh [ vnxs1 ]d vydnl srgvnxs D � [ gh�qludmpr w}y1 ndudnwhulv0wlfqx ixqnflmx "� = [ $ i3> 4j srgvnxsd D vwdyomdmx�fl
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53 SRJODYOMH 41 VNXSRYL1 IXQNFLMH1 UHDOQL EURMHYL1
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4171 UHDOQL EURMHYL 66
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67 SRJODYOMH 41 VNXSRYL1 IXQNFLMH1 UHDOQL EURMHYL1
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4171 UHDOQL EURMHYL 68
L}mhgqdfxmx�fl wdnyx elmhnflmx v qmh}lqrp xuh¡hqrp +sr grphql, volnrp/vplmhpr uh�fl gd mh shupxwdflmd q0wrjd uhgd vydnl q0vorj +lol xuh¡hqdq0wrund, +l�> � � � > l?,ph¡xvreqr ud}olflwlk +gdnoh/ vylk, hohphqdwd rg ^4> q`Q/wm1 vplmhpr uh�fl gd mh shupxwdflmd q0wrjd uhgd vydnl xuh¡dm vnxsd ^4> q`Q1Eurm l�/ 4 � m � q/ qd}lydpr m0wrp nrruglqdwrp vorjd +l�> � � � =l?,1 Rflwrmh gd vh jruqmd gh�qlflmd pr}h irupdoqr suhqlmhwl qd vydnl nrqdfql vnxs[ @ i{�> � � � > {?j/ sd wdgd jryrulpr r shupxwdflml vnxsd [1
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69 SRJODYOMH 41 VNXSRYL1 IXQNFLMH1 UHDOQL EURMHYL1
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4171 UHDOQL EURMHYL 6:
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<3 SRJODYOMH 51 OLQHDUQD DOJHEUD
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<5 SRJODYOMH 51 OLQHDUQD DOJHEUD
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Sulpmhu 51618 Sdudphwduvnh mhgqdg}eh
{ @ u+w� vlq w,> | @ u+4� frv w,> } @ 3> w 5 U> +5:,
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<7 SRJODYOMH 51 OLQHDUQD DOJHEUD
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<9 SRJODYOMH 51 OLQHDUQD DOJHEUD
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{+<f�+�|, @ 31
Sulpmhu 71418 Ghulyludmpr ixqnflmx { :$ k+{, @ frv+vlq{,/ { 5 U1Sulplmhwlpr gd mh k @ ji / sul fhpx mh i @ vlq l j @ frv1 Gdnoh/ sr +4;,/
k�+{, @ frv�+vlq{, � vlq� { @ � vlq+vlq{, � frv{1
Wyugqmd 7141: Ryr vx ghulydflmh klshueroqlk ixqnflmd=
+;{ 5 U, vlqk� { @ frvk{ +4<,
+;{ 5 U, frvk� { @ vlqk{ +53,
48; SRJODYOMH 71 LQILQLWH]LPDOQL UD FXQ
+;{ 5 U, wdqk� { @4
frvk2 {+54,
+;{ 5 U q i3j, frwk� { @ �4
vlqk2 {+55,
Grnd}1 Grnd}lpr qsu1 irupxox +4<,$
vlqk� { @ +e%3e3%
2 ,�+46,/+44,
@ �2++h
%,� � +h3%,�,+<,/+4;,@
�2+h
% � h3%+�4,, @ e%ne3%
2 @ frvk{1
Whruhp 71417 +Ghulydflmd lqyhu}qh ixqnflmh, Qhnd mh lqmhnwlyqd ixqnflmdi = [ $ U> [ � U/ ghulydeloqd x wrfnl {f l i �+{f, 9@ 31 Dnr mh sul0sdgqd �lqyhu}qd� ixqnflmd i3� = i ^[` $ U qhsuhnlgqd x wrfnl |f @ i+{f,/rqgd mh i3� ghulydeloqd x wrfnl |f l sulwrp mh
+i3�,�+|f, @4
i �+{f,= +56,
Grnd}1 Exgx�fl gd mh i3� lqyhu}qd ixqnflml i l |f @ i+{f,/ wr mhi3�+|f, @ {f l �i3�+|, @ i3�+|f .�|, � i3�+|f, @ {f .�{ � {f @ �{
flp mh i+{f .�{, @ |f .�| @ |1 ]erj lqmhnwlyqrvwl ixqnflmh i mh �| 9@ 3wrfqr rqgd ndg mh �{ 9@ 3/ d }erj qhsuhnlgqrvwl ixqnflmh i3� x wrfnl |fl qhsuhnlgqrvwl ixqnflmh i x wrfnl {f +y1 Whruhp 71414,/ �| $ 3 wrfqr
rqgd ndg �{ $ 31 Suhpd wrpx/ +i3�,�+|f, @ olp{+<f
{s3�E+�{+
@ olp{+<f
{%{+
@
olp{+<f
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1
Wyugqmd 7141; Ryr vx ghulydflmh flnorphwulmvnlk ixqnflmd l duhd0ixqnflmd=
+;{ 5 k�4> 4l, dufvlq� { @4s
4� {2> +57,
+;{ 5 k�4> 4l, duffrv� { @ � 4s4� {2
> +58,
+;{ 5 U, dufwdq� { @4
4 . {2> +59,
+;{ 5 U, duffrw� { @ � 4
4 . {2> +5:,
+;{ 5 U, duvk� { @4s
4 . {2> +5;,
+;{ 5 k�>�4lV k4> �l, dufk� { @4s
{2 � 4> +5<,
+;{ 5 k�4> 4l, duwk� { @4
4� {2> +63,
+;{ 5 k�>�4lV k4> �l, dufwk� { @ � 4
{2 � 4= +64,
Grnd}1 Grvwdwqr mh/ loxvwudflmh udgl/ sulpmhqrp Whruhpd 71417/ grnd}dwlsuyx irupxox1
dufvlq� {+56,@ �
t�?� +@ �
ULt + @ �s�3t�?2 +
@ �I�3%2
1
+Ixqnflmh dufvlq l duffrv qlvx ghulydeloqh x wrfndpd { @ �4 l { @ 4$,
7141 GHULYDFLMD 48<
Wyugqmd 7141< Orjdulwdpvnd ixqnflmd { :$ orj@ { lpd ghulydflmx { :$ 4
{ oq d/
wm1
+;{ 5 Un, orj�@ { @4
{ oq d= +65,
Srvhelfh mh
+;{ 5 Un, oq� { @4
{= +66,
Grnd}1 orj�@ {+56,@ �
E@+�� @�
@+ *?@ @ �% *?@ 1
Wyugqmd 714143 Ghulydflmd rs�fh srwhqflmh { :$ {o/ u 5 U/ mh ixqnflmd { :$u{o3� ndg jrg mh ryd greur gh�qludqd +xvs1 +8, l Wyugqmx 71419, wm1
+{o,� @ u{o3�= +67,
Grnd}1 Grvwdwqr mh wyugqmx grnd}dwl }d { 5 k3> �l1 Sr ¢61416+ly, mh{o @ ho *?%1 Suhpd wrpx/
+{o,� @ +ho *?%,�+4;,/+<,@ ho *?%+u oq{,�
E���c+66,@ ho *?% � o
%@ {o � o
%@ u{o3�1
+Rs�fd srwhqflmd qlmh ghulydeloqd x wrfnl { @ 3 flp mh u ? 4$,
Wyugqmd 714144 Qhnd vx gdqh ixqnflmh i> j> k = [ $ U/ [ � U/ l qhnd
mh k+{, @ i+{,}E%� � +i},+{,1 Dnr vx i / j l k ghulydeloqh x wrfnl {f/ rqgd
ghulydflmd k�+{f, grsxµwd }dslv
+i},�+{f, @ +j�+{f, � oq i+{f, . j+{f, � s�E%f�sE%f�
,i+{f,}E%f�= +68,
Grnd}1 Sulnd}lpr ixqnflmx k ndr nrpsr}lflmx orjdulwdpvnh l hnvsrqhq0flmdoqh ixqnflmh +nrmh xnomxfxmx i / j l pqr}hqmh,1 Suyr/ qhnd mh � = [ $ U/� @ j � +oq �i,/ wm1
{s:$ i+{,
*?:$ oq i+{,> {}:$ j+{,> {
>:$ �+{, @ j+{, � oq i+{,1Wdgd mh k � i} mhgqdnd ixqnflmvnrm nrpsr}lflml h{se ��/ wm1
{>:$ �+{,
i Te:$ h{se+�+{,, @ h}E%�u*? sE%� @ i+{,}E%� @ k+{,1
Sulplmhqlpr ol sudylod +<,/ +4;,/ +45, l +66, grelw �fhpr +68,1
Qdsrphqd 71415 Dnr mh ixqnflmd i = [ $ U/ [ � U/ }dgdqd lpsolflwqrmhgqdg}erp I +{> |, @ 3 +y1 ¢61414, l dnr mh ghulydeloqd x wrfnl {f/ rqgdghulydflmx i �+{f, rguh¡xmhpr irupdoqlp ghulyludqmhp mhgqdg}eh I +{> |, @ 3+ghulyludmx�fl | slµhpr |� � i �+{, l xyuµwdydpr { @ {f, l vuh¡lydqmhp1
Sulpmhu 71419 Rguhglpr ghulydflmx x wrfnl { @ 3 ixqnflmh { :$ i+{, @ |
lpsolflwqr }dgdqh mhgqdg}erp 5+ � {| . {2 � 5 @ 31 Irupdoqr ghulyludmx�flmhgqdg}ex grelydpr= +5+�{|.{2�5,� @ 3� , 5+ � oq 5 �|��+|.{|�,.5{ @3 , |� @ +32%
2+ *? 23% / sd mh i �+{f, � |�f @ +f32%f2+f *? 23%f
1 Yulmhgqrvw i+3, � |f
grelydpr xyuµwhqmhp x mhgqdg}ex1 Gdnoh 5+f � 3 � |f . 32 � 5 @ 3, 5+f @5, |f @ 41 Qdsrnrq/ i �+3, � |�f @
�32uf2� *? 23f @ �
2 *? 2 @ �*? e 1
493 SRJODYOMH 71 LQILQLWH]LPDOQL UD FXQ
3%�%1 �4���/ ����
X srgrgmhomnx ¢71415 vpr srnd}dol gd }d suludvw i+{,�i+{f, @ +�%fi,+{, ��i+{, ghulydeloqh +x wrfnl {f, ixqnflmh i = [ $ U/ [ � U/ { @ {f .�{/yulmhgl irupxod +4:,=
�i+{, @ i �+{f,�{. �+�{,�{/ sul fhpx mh olp{%<f
�+�{, @ 31
Wr qdyrgl gd vh ixqnflml ghulydeloqrm x wrfnl {f sulglmhol +orndoqr, olqhduqdixqnflmd µwr mx rguh¡xmh ghulydflmd i �+{f,1 Wdnr vh grod}l gr w}y1 glihuhqflmd0eloqrvwl/ rgqrvqr/ glihuhqflmdod surpdwudqh ixqnflmh x wrfnl {f= ]d ixqnflmhmhgqh ydulmdeoh/ µwr lk vdgd surxfdydpr/ elw �fh ud}ylgqr gd vx glihuhqflmd0eloqrvw l ghulydeloqrvw hnylydohqwqd vyrmvwyd1 Gd mh glihuhqflmdeloqrvw/ rs�fh0qlwr/ mdfh vyrmvwyr rg ghulydeloqrvwl xrflw �fhpr xvnrur surxfdydmx�fl uhdoqhixqnflmh ylµh ydulmdeod1
Gh�qlflmd 71415 Uh�fl �fhpr gd mh ixqnflmd i = [ $ U/ [ � U/ glihuhqfl0mdeloqd x wrfnl {f/ dnr srvwrml eurm d 5 U wdndy gd mh
i+{,� i+{f, @ d � +{� {f, . u+{� {f,>sul fhpx }d ixqnflmx {� {f :$ u+{� {f,/ { 9@ {f/ prud yulmhglwl
olp%<%f
u+{� {f,
{� {f@ 3 +�rvwdwdn� u+{�{f, wh}l n 3 elwqr eu}h rg {�{f,1
Uh�fl �fhpr gd mh ixqnflmd i glihuhqflmdeloqd/ dnr mh glihuhqflmdeloqd x
vydnrm wrfnl { 5 [1
Ud}ylgqr mh +y1+4:,, gd mh ixqnflmd i glihuhqflmdeloqd x {f flp mh ghuly0deloqd x {f1 Qdlph/ }d wud}hql eurm d vplmhpr x}hwl i �+{f,/ sd mh u+{�{f, @�+{� {f, � +{� {f, l xymhwx mh xgryromhqr1 V guxjh vwudqh/ odnr mh grnd}dwlgd mh eurm d mhglqvwyhq flp mh i glihuhqflmdeloqd x {f/ d rqgd mh
d @ olp%<%f
i+{,� i+{f,
{� {f. olp
%<%f
u+{� {f,
{� {f@ i �+{f,=
Suhpd wrpx/ ixqnflmd i mh glihuhqflmdeloqd +x wrfnl {f, wrfqr rqgd ndg mhghulydeloqd +x {f,1 Sulsdgqx olqhduqx ixqnflmx qd}lydpr glihuhqflmdorp
ixqnflmh i x wrfnl {f l r}qdfxmhpr vgi+{f, = U$ U> gi+{f,+{, @ i �+{f, � {= +69,
Sulplmhwlpr gd mh/ sr +4:,/
olp{%<f
{sE%�3_sE%f�E{%�{%
@ olp{%<f
oE{%�{%
@ olp{%<f
�+�{, @ 3=
Sulpmhu 7141: Rguhglpr glihuhqflmdoh gi+{f,/ x vydnrm wrfnl {f 5 U/ rv0qryqlk hohphqwduqlk ixqnflmd vlq/ srwhqflmh v hnvsrqhqwlqd 5 l olqhduqh ixqnflmhv nrh�flmhqwrp n/ wm1 ixqnflmd { :$ vlq{/ { :$ {2 +nydguludqmh, l { :$ n{
+n 5 U nrqvwdqwd,1Qhnd mh {f 5 U elor nrmd wrfnd +surpdwudqh ixqflmh vx ghulydeloqh,1 Yulmhg0qrvwl gi+{f,+{, wud}hqlk glihuhqflmdod gi+{f, mhvx uhgrp=
g+vlq{f,+{, @ vlq� { m%'%f �{ @ frv{f � {>g+{2f,+{, @ +{2,� m%'%f �{ @ 5{f{>g+n{f,+{, @ +n{,� m%'%f �{ @ n{1
7141 GHULYDFLMD 494
Sulplmhwlpr gd mh glihuhqflmdo olqhduqh ixqnflmh/ x vydnrm wrfnl {f 5 U/ mhgqdnwrm ixqnflml1
Gd elvpr µwr mhgqrvwdyqlmh rshuludol glihuhqflmdorp/ lvnrulvwlpr flqmhqlfx+y1 Olqhduqx dojheux,
gi+{f, 5 Krp+U>U, �@ U/wm1 gd mh gi+{f, yhnwru x gxdoqrpx survwrux +vylk olqhduqlk ixqnflmd, rg U1Dnr v g 5 krp+U>U, r}qdflpr ed}ql yhnwru gxdodq yhnwrux h @ 4 5 U/vplmhpr slvdwl
gi+{f, @ i �+{f,g/d }d qmhjryh yulmhgqrvwl
gi+{f,+{, @ i �+{f,g{/ { 5 U1Srmhgqrvwdyqmxmx�fl }dslvlydqmh/ ndg jrg qh pr}h gr�fl gr }dexqh/ xrelfdmlorvh glihuhqflmdo gi+{f, wuhwludwl ndr ixqnflmx rg {� {f @ �{/ { 5 U/ l slvdwl
gi+{f,+�{, � gi+{, @ i �+{,g{/sd �fhpr vh l pl wrjd gu}dwl1 Qd wdm vh qdflq jruqml sulpmhul prjx }dslvdwlndnr volmhgl=
g vlq{ @ frv{g{/ g{2 @ 5{g{/ g+n{, @ ng{1Sulplmhwlpr gd wdnyr vnud�fhqr }dslvlydqmh grsxµwd }dslvdwl ghulydflmx ndrnrolfqln
i �+{, @ _sE%�_%
� _+_%=
Sulwrp qd yholflqx g{ vplmhpr johgdwl ndr qd �qhl}pmhuqr pdol� �{ mhu mhi �+{f,�{ @ gi+{f,+�{, � gi+{, @ i �+{,g{1
Udgl eromhjd srlpdqmd/ nrulvqr mh srmdvqlwl glihuhqflmdoryr jhrphwulmvnr}qdfhqmh +y1 fuwh} gromh,1 Exgx�fl gd mh i �+{f, @
_sE%�_%
/ { @ {f.�{/ g{ @ �{/wdqjhqwlq vpmhuryql nrh�flmhqw +w x wrfnl +{f> i+{f,, 5 Js / y1 +5,,> volmhglgd mh yulmhgqrvw sulsdgqrjd glihuhqflmdod gi+{f,+g{, � gi+{, @ i �+{f,g{�suludvw gr wdqjhqwh� w/ grn mh �i+{, sulsdgql ixqnflmvnl suludvw/ wm1 �suludvwgr judid� Js $,
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Whruhp 71415 lpd vyrm orndoql glihuhqflmdoql dqdorjrq1
Whruhp 71418 +Glihuhqflmdo l rvqryqh udfxqvnh rshudflmh, Qhnd vx ixqnflmh
i> j = [ $ U/ [ � U/ glihuhqflmdeloqh x wrfnl {f1 Wdgd }d sulsdgqh glihuhq0
flmdoh x {f yulmhgl=
gfo+{f, @ ff +i � fo> ff � nrqvwdqwqh ixqnflmh,> +6<,
g+i . j,+{f, @ gi+{f, . gj+{f,> +73,
495 SRJODYOMH 71 LQILQLWH]LPDOQL UD FXQ
g+i � j,+{f, @ gi+{f,� gj+{f,> +74,
g+i � j,+{f, @ j+{f,gi+{f, . i+{f,gj+{f,> +75,
g+fo � j,+{f, @ fogj+{f, +i @ fo,> +76,
g+i
j,+{f, @
j+{f,gi+{f,� i+{f,gj+{f,
j+{f,2+j+{f, 9@ 3,= +77,
Grnd}1 Grnd}lpr/ sulpmhud udgl/ irupxox +75,$ X}plpr elor nrml { 5 U1Wdgd mh x Krp+U>U, g+i � j,+{f,+{, @ +i � j,�+{f,g{ +45,
@ +i �+{f,j+{f, .i+{f,j
�+{f,,g{ @ j+{f,i�+{f,g{ . i+{f,j
�+{f,g{ @ j+{f,gi+{f,+{,.i+{f,gj+{f,+{, @ +j+{f,gi+{f, . i+{f,gj+{f,,+{,1
Sulpmhu 7141; Rguhglpr ixqnflml { :$ i+{, @ h% vlq{ glihuhqflmdo x elor nr0
mrm wrfnl {f 5 U1 gi+{f,+{, +75,@ +vlq{fg+h
%f,.h%fg+vlq{f,,+{, @ vlq{fh%fg{.
h%f frv{fg{ @ h%f+vlq{f.frv{f,g{1 Lol vnud�fhqr/ g+h% vlq{, @ +h% vlq{,�g{ @
h%+vlq{. frv{,g{
Whruhp 71419 Qhnd mh ixqnflmd i = [ $ U/ [ � U/ ghulydeloqd x wrfnl {fl qhnd mh i �+{f, 9@ 31 Wdgd mh
olp{%<f
�i+{,
gi+{,@ 4=
Grnd}1 Sr +4:, l +69, mh {sE%�_sE%� @ s �E%f�_%nkE_%�_%
s �E%f�_%@ 4 . kE_%�
s �E%f�l
olp_%<f
�+g{, @ 3= Suhpd wrpx/ olp{%<f
{sE%�_sE%� @ 4. �
s �E%f�olp_%<f
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Whruhp 71419 srwyu¡xmh gd mh ixqnflmlq suludvw �i+{f,+�{, � �i+{, ��| suleol}qr mhgqdn glihuhqflmdoryrm yulmhgqrvwl gi+{f,+�{, � gi+{, � g|
flp mh ydulmdeolq suludvw �{ @ g{ grvwdwqr pdohq1 Slµhpr �| � g|1 Ryd vh
flqmhqlfd fhvwr sulplmhqmxmh x suleol}qrp l}udfxqdydqmx ixqnflmvnlk yulmhg0qrvwl/ ndr l x surfmhqmlydqmx srjumhµdnd nrmh vx srvomhglfd qhwrfqlk pmhuhqmd1Dnr mh qsu1 sr}qdwd ixqnflmlqd yulmhgqrvw |f @ i+{f,/ qmh}lqd vh yulmhg0
qrvw x wrfnl { @ {f . g{ +i ghulydeloqd x {f l g{ grvwdwqr pdohq, vplmhdsurnvlpludwl sr irupxol
i+{f . g{, @ |f .�| � |f . g|= +78,Qdgdomh/ dnr mh ydulmdeod { l}pmhuhqd v srjumhµnrp nrmd dsvroxwqr qh suh0pdµxmh mg{m/ rqgd vh qdmyh�fd dsvroxwqd srjumhµnd ixqnflmlqh yulmhgqrvwl| @ i+{, vplmh surflmhqlwl ndr
m�|m � mg|m @ mi �+{,mg{> +79,uhodwlyqd srjumhµnd ndr
�|
|� g|
|> +7:,
d srvwrwqd srjumhµnd ndr�|
|� 433( � g|
|� 433(= +7;,
7141 GHULYDFLMD 496
Sulpmhu 7141< L}udfxqdmpr qhnx suleol}qx +udflrqdoqx, yulmhgqrvw ludflr0qdoqrjd eurmd e
s;7 udeh�fl dsurnvlpdflmx glihuhqflmdorp1
X umhµdydqmx rydnyrjd }dgdwnd wuhed yrglwl udfxqd r wulpd vwydulpd= Suyr/gd vh rgdehuh µwr mh prjx�fh mhgqrvwdyqlmd hohphqwduqd ixqnflmd i +sul0pmhuhqd gdqrp }dgdwnx,> gd vh rgdehuh rgjrydudmx�fd wrfnd {f }d nrmxvh +wrfqd, yulmhgqrvw i+{f, pr}h odnr l}udfxqdwl> l wuh�fh/ gd {f . g{ exghgdqd ydulmdeolqd yulmhgqrvw v uhodwlyqr pdolp g{1Sulplmhwlpr/ qdmsulmh/ gd mh e
s;7 @ +;4 . 6,
�
e @ 6+4 . �2.,
�
e 1Vwrjd vh +qh }dkwlmhydpr ol eromx dsurnvlpdflmx,/ ndr sulnodgdq l}eru qdph�fx
ixqnflmd { :$ i+{, @ 6+4.{,�
e l wrfnd {f � 3/ sul fhpx mh g{ @ �2. @ {f.g{1
Wdgd/ sulplmhqmxmx�fl irupxox +78, grelydpr=es;7 @ 6+4 . �
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e @ i+3 . �2., � i+3, . i �+3, � �
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Qhnd mh i = [ $ U/ [ � U/ ghulydeloqd +hnylydohqwqr/ glihuhqflmd0eloqd, ixqnflmd1 Wdgd x vydnrm wrfnl { srvwrml glihuhqflmdo gi+{, = U $ U/gi+{,+{, @ i �+{,g{/ sd mh greur gh�qludqd ixqnflmd gi = [ $ Krp+U>U,/{ :$ gi+{,1 Exgx�fl gd mh Krp+U>U, l}rpruidq yhnwruvnrpx survwrux U/Krp+U>U, �@ U/ wr qd gi vplmhpr johgdwl l ndr qd ixqnflmx l} [ x U1
Qhnd mh ixqnflmd i = [ $ U/ [ � U/ ghulydeloqd qd vnxsx D � [/wm1 qhnd srvwrml ixqnflmd +i m�,� = D $ U/ { :$ i �+{,1 Dnr mh ixqnflmd +i m�,�ghulydeloqd x wrfnl {f/ rqgd nd}hpr gd mh ixqnflmd i gydsxw ghulydeloqd x
wrfnl {f/ d yulmhgqrvw ++i m�,�,�+{f, � i ��+{f, qd}lydpr guxjrp ghulydfl0
mrp ixqnflmh i x wrfnl {f1 Uh�fl �fhpr gd mh ixqnflmd i gydsxw ghulydeloqdqd D dnr mh i gydsxw ghulydeloqd x vydnrm wrfnl { 5 D1 Sulsdgqx ixqnflmxqd}lydpr guxjrp ghulydflmrp ixqnflmh i qd vnxsx D l r}qdfxmhpr v+i m�,�� = D $ U1 X voxfdmx D @ [ jryrulpr r gydsxw ghulydeloqrm
ixqnflml i l r qmh}lqrm guxjrm ghulydflml i �� � +i �,� = [ $ U1 Qdvwdy0omdmx�fl lqgxnwlyqr/ lpd vplvod jryrulwl r wuh�frm/ fhwyuwrm/ � � � > q0wrm/ � � �ghulydflml ixqnflmh i +qd vnxsx D> x wrfnl {f,1 Sulsdgqh r}qdnh vx i ���/i +7,/ � � � / i E?�/ � � � 1 Gdnoh +y1 Whruhp 41715,/
i E?�+{f, @ +i E?3��,�+{f,> q 5 Q +i Ef� � i,= +83,
Sulpmhu 714143 Rguhglpr +dnr srvwrmh, vyh ghulydflmh i E?� = U $ U/ q 5Q/ ixqnflmh i = U$ U/ i+{, @ ho%1
Exgx�fl gd mh i ixqnflmvnd nrpsr}lflmd pqr}hqmd nrqvwdqwrp +u, v +sulurg0qrp, hnvsrqhqflmdoqrp ixqnflmrp +h{se,/ wr mh i ghulydeloqd ixqnflmd1 Volfqryulmhgl l }d qmh}lqh ghulydflmh1 Sulwrp grelydpr=
i �+{, @ uho%/ i ��+{, @ +uho%,� @ u2ho%/ � � � /i E?�+{, @ +u?3�ho%,� @ u?ho%/ � � � 1
Srvyh volfqr vh }d ixqnflmx i = [ $ U/ [ � U/ gh�qludmx glihuhq0flmdol ylµlk uhgryd +x wrfnl {f,1 Suhwsrvwdylpr gd mh i glihuhqflmdeloqd
497 SRJODYOMH 71 LQILQLWH]LPDOQL UD FXQ
ixqnflmd1 Guxjlp glihuhqflmdorp ixqnflmh i x wrfnl {f qd}lydpr glihu0hqflmdo g+gi,+{f, ixqnflmh0glihuhqflmdod gi = [ $ Krp+U>U, �@ U x wrfnl {f1Udgl vh/ gdnoh/ r olqhduqrm ixqnflml/ nrmx r}qdfxmhpr v g2i+{f, = U $ U/rguh¡hqrm �nrh�flmhqwrp� i ��+{f,g{/ wm1
g2i+{f, @ g+gi+{,,m%'%f @ g+i �+{,g{,m%'%f @ i ��+{f,g{/
+rgqrvqr/ g2i+{f, @ +i ��+{f,g{,g 5 Krp+U>U,, v yulmhgqrvwlpd
g2i+{f,+{, � g2i+{, @ +i ��+{f,g{,g{ � i ��+{f,g{2> +84,
Yholflqd g{2 @ g{�g{ qrvl redylmhvw r mrµ mhgqrm }dpmhql survwrud Krp+U>U,survwrurp U1 Sulwrp nd}hpr gd mh ixqnflmd i gydsxw glihuhqflmdeloqd x
wrfnl {f1 Dnr mh i gydsxw glihuhqflmdeloqd x vydnrm wrfnl { 5 [ rqgd }dqmx nd}hpr gd mh gydsxw glihuhqflmdeloqd ixqnflmd1 X wrp voxfdmx srvwrmlixqnflmd +guxjl glihuhqflmdo rg i,
g2i = [ $ Krp+U>Krp+U>U,, �@ Krp+U>U, �@ U> { :$ g2i+{,=
Rs�fhqlwr/ q0wl glihuhqflmdo g?i+{f, = U$ U ixqnflmh i x wrfnl {f/ q 5 Q/q � 5/ gh�qludpr ndr glihuhqflmdo +q � 4,0yrjd glihuhqflmdod rg i / g?3�i =[ $ U/ x {f/ wm1 g?i+{f, @ g+g?3�i,+{f,1 Vwrjd yulmhgl irupxod +g{? �+g{,?,
g?i+{f,+{, � g?i+{, @ i E?�+{f,g{?> +85,
sul fhpx yholflqd g{? @ g{?3� � g{ qrvl redylmhvw r q }dpmhqd survwrudKrp+U>U, survwrurpU1 Revwrmqrµ�fx q0wrj glihuhqflmdod rg i +x {f, gh�qludvh q sxwd glihuhqflmdeloqrvw ixqnflmh i +x wrfnl {f,1 Ud}ylgqr mh gd vxwd vyrmvwyd hnylydohqwqd rgjrydudmx�frm ghulydeloqrvwl1
Sr +85,/ irupxod +6;, lpd vomhgh�fh srrs�fhqmh qd vydnl q 5 Q=i E?�+{, @
g?i+{,
g{?= +86,
Qhnd mh mhgqdg}edpd { @ *+w, l | @ #+w, sdudphwduvnl }dgdqd ixqnflmd{ :$ i+{, @ | +y1 ¢61414,1 Exgx�fl gd vh/ rs�fhqlwr/ sdudphwdu w qh pr}hholplqludwl/ rguhglw �fhpr ghulydflmx rg i x wrfnl {f @ *+wf, +flp srvwrml,srpr�fx glihuhqflmdod rg * l # x wrfnl wf1
i �+{f, @_+_%� _�E|�
_)E|� @��E|f�_|)�E|f�_|
@ ��E|f�)�E|f�
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µwr vh nud�fh l rs�fhqlwr }dslvxmh ndr
|� � i �+{, @b|
b{> b{ @ *�+w,> b| @ #�+w,= +87,
Qd volfdq qdflq grelydpr +dnr srvwrmh, l ghulydflmh ylµlk uhgryd/ sulpmhulfh+g{ l gw wuhwludpr ndr nrqvwdqwh,/
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|�� @�| b{� b|�{
b{�> b{ 9@ 3> �{ @ *��+w,> �| @ #��+w,= +88,
3%�%3 "+/#$/� 6�#��0� ��4���/ ����/#�� ��� ,/�
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7141 GHULYDFLMD 498
Whruhp 7141: +Ihupdwry whruhp, Qhnd vx}hqmh i m'@cK� ixqnflmh i = [ $U/ [ � U/ srsulpd x wrfnl {f 5 kd> el � [ vyrmx qdmpdqmx lol qdmyh�fx
yulmhgqrvw1 Dnr mh i ghulydeloqd x {f rqgd mh i �+{f, @ 31
Grnd}1 Suhwsrvwdylpr gd mh i+{f, plqlpxp rg i m'@cK�/ wm1 i+{f, � i+{,}d vydnl { 5 kd> el1 ]dslvxmx�fl { @ {f.�{ grelydpr i+{f.�{,�i+{f, � 31Exgx�fl gd mh i ghulydeloqd x {f 5 kd> el/ wr mh i ghulydeloqd volmhyd l }ghvqdx {f l sulsdgqh vh ghulydflmh srgxgdudmx v i �+{f,/ wm1
olp{%<f3f
sE%fn{%�3sE%f�{% @ i �+{f, @ olp
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Sulplmhwlpr gd mh qd}lyqln �{ x ghulydflml volmhyd vwdoqr qhjdwlydq +{ ? {f,/grn mh x ghulydflml }ghvqd vwdoqr sr}lwlydq +{ A {f,1 Exgx�fl gd vx eurmqlflvwdoqr sr}lwlyql/ wr mh ghulydflmd volmhyd rg i x {f pdqmd lol mhgqdnd qxod/ drqd }ghvqd yh�fd lol mhgqdnd qxod1 Volmhgl }dnomxfdn i �+{f, @ 31 X voxfdmxpdnvlpxpd i+{f, grnd}xmh vh qd lvwl qdflq1
Whruhp 7141; +Uroohry whruhp, Qhnd mh ixqnflmd i = [ $ U/ [ � U/
qhsuhnlgqd qd vhjphqwx ^d> e` � [ l ghulydeloqd qd lqwhuydox kd> el = Dnr mh
i+d, @ i+e, rqgd srvwrml wrfnd {f 5 kd> el wdnyd gd mh i �+{f, @ 31
Grnd}1 Sr Whruhpx 616145/ vx}hqmh i md@cKo srvwl}h qd ^d> e` vyrmx qdm0pdqmx l vyrmx qdmyh�fx yulmhgqrvw/ wm1 srvwrmh {�> {2 5 ^d> e` wdnyl gd mh/ }dvydnl { 5 ^d> e`/ i+{�, � i+{, � i+{2,1 Dnr mh i+{2, @ i+{�, rqgd mh i md@cKonrqvwdqwqd ixqnflmd fsE%��/ sd mh +i m'@cK�,� @ ffm'@cK� 0 grnd} jrwry1 Qhndmh i+{2, 9@ i+{�,/ wm1 i+{�, ? i+{2,1 Wdgd qh prjx remh yulmhgqrvwl elwlmhgqdnh i+d, +@ i+e,,1 Suhwsrvwdynd i+{�, 9@ i+d, sryodfl d 9@ {� 9@ e/ wm1{� 5 kd> el/ d suhwsrvwdynd i+{2, 9@ i+d, sryodfl d 9@ {2 9@ e/ wm1 {2 5 kd> el1Sr Whruhpx 7141: }dnomxfxmhpr gd mh {� lol {2 wud}hqd wrfnd {f1
Whruhp 7141< +Odjudqjhry whruhp r vuhgqmrm yulmhgqrvwl, Qhnd mh ixqnflmd
i = [ $ U/ [ � U/ qhsuhnlgqd qd vhjphqwx ^d> e` � [ l ghulydeloqd qd
lqwhuydox kd> el = Wdgd srvwrml wrfnd {f 5 kd> el wdnyd gd mh
i �+{f, @i+e,� i+d,
e� d= +89,
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i �+{f,� sEK�3sE@�K3@ > wm1 i �+{f, @
sEK�3sE@�K3@ =
Odjudqjhryd irupxod +89, vh pr}h qdslvdwl qd qhnrolnr qdflqd1 Wdnrqsu1 pqr}hqmhp irupxoh +89, idnwrurp e� d grelydpr
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,Qdgdomh/ exgx�fl gd mh {f @ d . %f3@
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,
Whruhp 714143 Qhnd mh ixqnflmd i = [ $ U/ [ � U/ qhsuhnlgqd qd vhj0
phqwx ^d> e` � [ l ghulydeloqd qd lqwhuydox kd> el1 Dnr mh i �+{, @ 3 }d vydnl
{ 5 kd> el/ rqgd mh vx}hqmh i md@cKo nrqvwdqwqd ixqnflmd1
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vhjphqwx ^d> e` � [ l ghulydeloqh qd lqwhuydox kd> el1 Dnr mh i �+{, @ j�+{,}d vydnl { 5 kd> el rqgd mh vx}hqmh +i � j,md@cKo nrqvwdqwqd ixqnflmd1
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vyh ghulydflmh +i mU,E?�/ q 5 Q/ l qhnd mh {f 5 L elor nrmd wrfnd1 Wdgd mh/ }dvydnl { 5 L>
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LQGHNV 698
v rgmhomlylp ydulmdeodpd/ 67;/683
Glmdjrqdodjodyqd/ 83vsruhgqd/ 83
Gluhwnulvd sduderoh/ <4Glvmxqnflmd
hnvnox}lyqd/ 7lqnox}lyqd/ 7
Glvmxqnwqd xqlmd vnxsryd/ :Glvmxqnwql vnxsryl/ :Glyhujhqflmd/ 5<;Gmhorplfql }eurm uhgd/ 457Grphqd/ 44Guxjl glihuhqflmdo/ 589Gxomlqd oxnd/ 55:Gxomlqd udyqlqvnrj oxnd/ 55:Gxomlqd yhnwrud/ :3
Hnvsrqhqw srwhqflmlq/ 63Hnylsrwhqwql vnxsryl/ 47Hnylydohqflmd/ 8Hnylydohqwqh irupxoh/ 8Hohphqwduqd rshudflmd
qd pdwulfl/ 94Holsvd/ ;<Holsvrlg/ <6Holswlfnl lqwhjudo guxjh yuvwh/ 566Holswlfql klshuerorlg
gyrnuloql/ <7mhgqrnuloql/ <6
Hxohuryh }dpmhqh/ 534
Irnxv + }dulµwh,holsvh/ ;<
Irnxv +}dulµwhsduderoh/ <4
Irnxv +}dulµwh,klshueroh/ <3
Irupxodelqrpqd/ 67Fudphuryd/ 99/ 9<Hxohuryd/ 4:4Juhhqryd/ 64<
Odjudqjhryd/ 499Prlyuhryd/ 77Qhzwrq0Ohleql}ryd/ 544/ 545Rvwurjudgvnl Jdxvvryd/ 665suhglndwqh dojheuh/ 8uhnxu}lyqd/ 4<:Vlpsvrqryd/ 549Vwrnhvryd/ 668wdqjhqwqd/ 549Wd|oruryd/ 49;/ 593wudsh}qd/ 548
Ixqnflmd/ 44+vwurjr, nrqndyqd/ 4::+vwurjr, nrqyhnvqd/ 4::+vwurjr, prqrwrqd/ 56;+vwurjr, vlod}qd/ 56;+vwurjr, x}od}qd/ 56;dojheduvnd/ 445dufxv0vlqxv/ 444duhd0nrvlqxv klshueroql/ 446duhd0nrwdqjhqv klshueroql/ 447duhd0vlqxv klshueroql/ 446duhd0wdqjhqv klshueroql/ 447dunxv0nrvlqxv/ 444dunxv0nrwdqjhqv/ 444dunxv0wdqjhqv/ 444elmhnwlyqd/ 46flnorphwulmvnd/ 443ghihuhqflmdeloqd x wrfnl/ 493ghulydeloqd/ 484ghulydeloqd qd vnxsx/ 484ghulydeloqd x wrfnl/ 484glihuhqflmdeloqd/ 493/ 579/ 57:glihuhqflmdeloqd qd vnxsx/ 57:Glulfkohwryd/ 483glyhujhqwqd x wrfnl/ 46;gydsxw ghulydeloqd/ 496/ 586gydsxw glihuhqflmdeloqd/ 497/ 589hnvsrqhqflmdoqd/ 43;hohphqwduqd/ 445idnwrulmho/ 66klshueroqd/ 446krprjhqd sr ydulmdeol/ 683
699 LQGHNV
krprjhqd/ krprjhqrj vwxsqmdn/ 683
lghqwlfnd/ 45lpsolflwqr }dgdqd/ 436/ 599lqgxnwlyqr gh�qludqd/ 4:lqmhnwlyqd/ 46lqwhjudeloqd/ 539lqyhu}qd/ 46ludflrqdoqd/ 446ndudnwhulvwlfqd/ 49nrqvwdqwqd/ 46/ 439nrruglqdwqd/ 5;;nrvlqxv/ 443nrvlqxv klshueroql/ 446nrwdqjhqv/ 443nrwdqjhqv klshueroql/ 446orjdulwdpvnd/ 43;prqrwrqd/ 438qhrph¡hqd/ 437qhsduqd/ 438qhsuhnlgqd/ 473qhsuhnlgqd qd vnxsx/ 473/ 575qhsuhnlgqd x wrfnl/ 473/ 575qhsuhnlgqr ghulydeloqd/ 485qhsuhnlgqr ghulydeloqd qd vnxsx/
579rph¡hqd/ 437rph¡hqd rgr}gro/ 437rph¡hqd rgr}jru/ 437rph¡hqd/ 56;rs�fd srwhqflmd/ 439sdgdmx�fd/ 438sdudphwduvnl }dgdqd/ 437sduqd/ 438shulrglfqd/ 439sr glmhorylpd prqrwrqd/ 56;srglqwhjudoqd/ 4<5sudyd udflrqdoqd/ 445suhnlgqd/ 575suhnlgqd x wrfnl/ 473U0lqwhjudeloqd/ 539/ 5:5udflrqdoqd/ 445vlqxv/ 443vlqxv klshueroql/ 446
vndoduqd/ 568vwurjr prqrwrqd/ 438vxumhnwlyqd/ 46wdeolfqr }dgdqd/ 435wdqjhqv/ 443wdqjhqv klshueroql/ 446wudqvfhqghqwqd/ 446wuljrqrphwulmvnd/ 43<x}od}qd/ 438yhnwruvnd/ 5;:ylµh ydulmdeod/ 568}dgdqd dqdolwlfnl/ 434}dgdqd jud�fnl/ 435
Ixqnflmvnl suludvw/ 475/ 575
Jhqhudwulvd/ <8Jhrphwulmvnl hnvfhqwulflwhw
holsvh/ ;<klshueroh/ <3
Jodwnd sdudphwul}dflmd/ 643Jrplolµwh
ql}d/ 44:vnxsd/ 56<
Judglmhqw/ 5<;Judi ixqnflmlq/ 44Jud�fnr lqwhjuludqmh/ 54:Judqlfqd yulmhgqrvw
ixqnflmh x wrfnl/ 469/ 573ql}d/ 449/ 573yhnwruvnh ixqnflmh/ 5;;
Judqlfqh yulmhgqrvwlx}dvwrsqd/ 574
Judqlfqd yulmhgqrvwvolmhyd/ 46;}ghvqd/ 46;
Jxvwr�fd/ 5:9
Kdplowrqry glihuhqflmdoql rshudwru/5<<
Klshuerod/ <3Klwqlfd/ <4
Lpdjlqduqd mhglqlfd/ 75Lpsolndflmd/ 7Lq�pxp/ <
LQGHNV 69:
Lq hnvlmd/ 4;3Lqnox}lmd/ 45Lqwhjudflmvnd nrqvwdqwd/ 4<5Lqwhjudflmvnd ydulmdeod/ 4<5Lqwhjudo
elqrpql/ 535grqml +Ulhpdqqry,/ 53:gyrvwuxnl/ 5:5hohphqwduqr umhµly/ 4<:ixqnflmvnrj uhgd/ 536jruqml +Ulhpdqqry,/ 53:qhrguh¡hql/ 4<5qhsudyl/ 54<rguh¡hql/ 539/ 5:5rylvdq r sdudphwux/ 5:<Srlvvrqry/ 5;6Ulhpdqqry/ 539vndoduqrj sromd/ 644wdeolfql/ 4<7wurvwuxnl/ 5:5yhnwruvnh ixqnflmh/ 5<6yhnwruvnrj sromd/ 646ylµhvwuxnl/ 5:5
Lqwhjudoqd vxpd/ 539/ 5:5Lqwhqjudqg/ 4<5Lqwhuydo
rwyruhql/ 43srox}dwyruhql/ 43
L}redud/ 56:/ 5<:L}rklsvd/ 56:/ 5<:L}yrgqlfd
ydomfdvwh sorkh/ <8
Mhgqdg}ed/ 79ndudnwhulvwlfqd/ 68<
Mhgqdg}ed udyqlqhKhvvhry reoln/ ;:qrupdoql reoln/ ;:
Ndqrqvnl }dslv sudyfd/ ;7Nduglrlgd/ <:Nodvd/ 47Nrgrphqd/ 44Nrh�flmhqw
elqrpql/ 66rs�fl elqrpql/ 4:5
Nrh�flmhqw vpmhuryql/ ;8Nridnwru/ 8:Nrpelqdflmd
q0wrj uhgd l u0wrj ud}uhgd/ 68Nrpelqdflmd v srqdyomdqmhp
q0wrj uhgd l u0wrj ud}uhgd/ 6:Nrpelqdflmh v srqdyomdqmhp
pxowlvnxsd/ 6;Nrpelqdflmvnr qdfhor/ 74Nrpsohnvql eurm/ 75
hnvsrqhqflmdoql }dslv/ 4:4wuljrqrphwulmvnl }dslv/ 77
Nrpsohphqw vnxsd/ :Nrpsrqhqwh
vndoduqh/ :9yhnwruvnh/ :9
Nrpsrqhqwh yhnwrudvndoduqh/ :7yhnwruvnh/ :7
Nrpsr}lflmd/ 45Nrqmxjludqr nrpsohnvql sdu/ 76Nrqmxqnflmd/ 7Nrqyhujhqflmd
mhgqrolnd/ 463relfqd/ 45<sr wrfndpd/ 45</ 463xqlirupqd/ 463
Nrqyhujhqflmd uhgddsvroxwqd/ 464mhgqrolnd/ 465relfqd/ 464sr wrfndpd/ 464xqlirupqd/ 465
Nrruglqdwhvihuqh/ <;
Nrruglqdwh sroduqh/ <9Nrruglqdwqd rv
dsolndwqd/ :8dsvflvqd/ :7ruglqdwqd/ :7
Nrruglqdwqh udyqlqh/ :8Nrruglqdwql vxvwdy/ :6
69; LQGHNV
+ghvql, sudyrnxwql/ :8flolqgulfql/ <:ghvql/ :6olmhyl/ :8sroduql/ <9sudyrnxwql/ :8vihuql/ <;
NulwhulmFdxfk|mhy/ 45:G*Dohpehuwry/ 45:Ohleql}ry/ 45;sruhgehql/ 459Uddehry/ 45:Zhlhuvwudvvry/ 465
Nulyxomdfxqmrvmhfqlfd/ ;<guxjrjd uhgd/ ;<hnylsrwhqflmdoqd/ 5<:jodwnd/ 556mhgqrvwdyqd/ 556mhgqrvwdyqd jodwnd/ 63<mhgqrvwdyqr }dwyruhqd/ 556/ 643sr glmhorylpd jodwnd/ 557/ 643udyqlqvnd/ 556ud}lqvnd/ 569xvpmhuhqd/ 643}dwyruhqd/ 556
Nulyxomql lqwhjudoguxjh yuvwh/ 646suyh yuvwh/ 644x srwhqflmdoqrp sromx/ 649
Nux}qd x}yrmqlfd/ <6Nux}qlfd/ ;<Nxjod/ 56<Nydgdu/ 56<Nydgudqw/ :7Nydgulnd/ <6Nydqwl�ndwru
hj}lvwhqflmdoql/ 8xqlyhu}doql/ 8
O*Krvslwdoryr sudylor/ 499Odsodfhry glihuhqflmdoql rshudwru/
633
Odsodfhry ud}yrm/ 8:Ohleql}ry sulvwxs/ 485Ohleql}ryr sudylor/ 5;4
srrs�fhqr/ 5;4Ohpqlvndwd/ <:Olphv
ixqnflmh/ 468lqihulru/ 453ql}d/ 449/ 573vxshulru/ 453x}dvwrsql/ 574yhnwruvnh ixqnflmh/ 5;;
Olqhduqdhnvwudsrodflmd/ 435lqwhusrodflmd/ 435
Olqhduqd nrpelqdflmdpdwulfqd/ 84qhwulylmdoqd/ 84vwxsdfd +uhgdnd, pdwulfh/ 85wulylmdoqd/ 84yhnwrud/ ::
Olqhduqd }dylvqrvwuhgdnd pdwulfh/ 85vwxsdfd pdwulfh/ 85
Olqhduqr qh}dylvqlyhnwrul/ ::
Olqhduqr }dylvqlyhnwrul/ ::
Olsvfklw}ry xymhw/ 674Olsvfklw}ryd nrqvwdqwd/ 675Orjdulwdp
Euljjvry/ 43<ghndgvnl/ 43<sulurgql/ 43<
Orjlfnl suhglndw/ 8Orndoql
hnvwuhp/ 4:8/ 595pdnvlpxp/ 4:8/ 595plqlpxp/ 4:8/ 595
Pdmrudqwd uhgd/ 458Pdnvlpxp/ <
ixqnflmh/ 479Pdwulflq
LQGHNV 69<
hohphqw/ 7<uhgdn/ 7<vwxsdf/ 7<
Pdwulfdgrqmd wurnxwdvwd/ 9<jruqmd wurnxwdvwd/ 9<lqyhu}qd/ 95Mdfrelmhyd/ 5::/ 5<3mhglqlfqd/ 83mhgqruhgqd/ 7<mhgqrvwxsfdqd/ 7<nrpsohnvqd/ 7<nydgudwqd/ 83sudyrnxwqd/ 7<uhdoqd/ 7<uhjxoduqd/ 95vlqjxoduqd/ 95vxvwdyd/ 97vxvwdyd 0 surµluhqd/ 97wlsd +p/q,/ 7<
Pdwulfhhnylydohqwqh/ 94olqhduqr qh}dylvqh/ 84olqhduqr }dylvqh/ 84
Ph¡dgrqmd/ <qdmyh�fd grqmd/ <
Ph¡djruqmd/ <qdmpdqmd jruqmd/ <
Phwrgdqhrguh¡hqlk nrh�flmhqdwd/ 4<;srvwxsqrj suleol¡dydqmd/ 678
Plqlpxp/ <ixqnflmh/ 479
Plqrudqwd uhgd/ 458Pqr}hqmh
pmhµrylwr/ ;4sulurgqlk eurmhyd/ 4;vndoduqr/ ::yhnwrud vndodurp/ :6yhnwruvnr/ :<
Pqr}hqmhpdwulfh vndodurp/ 83
Prgxo nrpsohnvqrj eurmd/ 77Prgxo yhnwrud/ :3Pxowlsolndwru
Hxohury/ 686lqwhjudflmvnl/ 686
Pxowlvnxs/ 69
Qdfhor gh�qlflmh lqgxnflmrp/ 4:Qdfhor srwsxqh lqgxnflmh/ 4:Qdgvnxs/ 9Qdmpdqml hohphqw/ <Qdmyh�fl hohphqw/ <Qhjdflmd/ 8Qhmhgqdg}ed/ 79Qhmhgqdnrvw
Ehuqrxoolmhyd/ 74Fdxfk|mhyd/ 5<8wurnxwqd/ 5<
Qhrguh¡hql reolfl/ 499Qhsudyl lqwhjudo
jodyqd yulmhgqrvw/ 555Y1S1/ 555
Qhzwrqry sulvwxs/ 485Ql}
+vwurjr, prqrwrq/ 449+vwurjr, vlod}dq/ 449+vwurjr, x}od}dq/ 449Fdxfk|mhy/ 455glyhujhqwdq/ 44:/ 573ixqnflmvnl/ 45<jhrphwulmvnl/ 455nrqyhujhqwdq/ 44:/ 573uhdoqlk eurmhyd/ 448vwdflrqdudq/ 449x vnxsx [/ 448
Qrupd yhnwrud/ :3Qrupdod
nulyxomh/ 486sorkh/ 637udyqlqh/ ;9
Qxopdwulfd/ 83Qxowrfnd ixqnflmh/ 4;7Qxoyhnwru/ :4
6:3 LQGHNV
Reudwqd volnd/ 46Rexmdp jhrphwulmvnrj wlmhod/ 5:9Rexmdp urwdflmvnrj wlmhod/ 55<Rnrolqd
rwyruhqd/ 56<Rnwdqw/ :8Rs�fl reoln
mhgqdg}eh udyqlqh/ ;9Rshudflmd
elqduqd/ 45Oxndvlhzlf}hyd/ 9Vkh�huryd/ 9
Rshudwrughowd/ 633qdeod/ 5<<
Rvqryql whruhplqwhjudoqrj udfxqd/ 544
Rvqryql whruhp dojheuh/ 4<;Rvwdwdn
Fdxfklmhy reoln/ 49<Odjudqjhry reoln/ 49<uhgd/ 457Vfkorplofkry reoln/ 49<
Rwyruhqd uhfhqlfd/ 8
Sduderod/ <4Sduderorlg
holswlfql/ <7klshuerolfql/ <7
Sdudphwduvnl }dslv sudyfd/ ;6Sdudphwul}dflmd nulyxomh
qhsuhnlgqd/ 556Sduflmdoqd ghulydflmd
guxjrj uhgd/ 586q0wrj uhgd/ 586qhsuhnlgqd/ 579
Sduflmdoqd lqwhjudflmd/ 4<9Sdvfdory wurnxw/ 66Shdqryl dnvlrpl/ 4:Shulrg ixqnflmh/ 439
rvqryql/ 439Shupxwdflmd
pxowlvnxsd/ 6:q0wrj uhgd/ 67
qhsduqd/ 68sduqd/ 68v srqdyomdqmhp/ 6:vnxsd/ 68
Sorµql lqwhjudoguxjh yuvwh/ 663suyh yuvwh/ 659
Sorµwlqd sorkh/ 659Sorµwlqd
urwdflmvnh sorkh/ 563Sorµwlqd udyqlqvnrj olnd/ 558Sorkd/ 656
guxjrj uhgd/ <6hnylsrwhqflmdoqd/ 5<:jodwnd/ 656nrqxvqd/ <8nxjolqd/ <6rulmhqwludqd/ 65;sr glmhorylpd jodwnd/ 657ud}lqvnd/ 569vwr}dvwd/ <8xvpmhuhqd/ 65;ydomfdvwd / <8
Srfhwql nrpdg/ 53Srfhwql xymhw/ 673Srgghwhuplqdqwd/ 8:Srgpdwulfd/ 8:Srgql}
uhdoqrj ql}d/ 44;Srguxfmh
lqwhjudflmvnr/ 53:Srguxfmh
gh�qlflmvnr/ 44yulmhgqrvqr/ 44
Srgvnxs/ 9Srjumhµnd
dsvroxwqd/ 495srvwrwqd/ 495uhodwlyqd/ 495
Sroduqd rv/ <9Srolqrp/ 64Sromh
eh}yuwor}qr/ 638hohnwurvwdwvnr/ 5<:
LQGHNV 6:4
judylwdflmvnr/ 5<:nrpsohnvqlk eurmhyd/ 75nrq}huydwlyqr/ 638qhvwdflrqduqr/ 5<:srwhqflmdoqr/ 638uhdoqlk eurmhyd/ 59vhohqrlgdoqr/ 638vndoduqr/ 5<8vwdflrqduqr/ 5<:yhnwruvnr/ 5<8yuwor}qr/ 638
Sroxpmhunrqyhujhqflmvnl/ 466
Srwhqflmd/ 63Srwhqflmdo
vndoduql/ 638yhnwruvnl/ 63;
Srwsxqr xuh¡hqr sromhudflrqdoqlk eurmhyd/ 56uhdoqlk eurmhyd/ 59
Srwsxqrvw hxnolgvnrj survwrud/ 455Sryuµlqd
udyqlqvnrj olnd/ 5:9Sudphq udyqlqd/ <<Sudphwul}dflmd nulyxomh
jodwnd/ 557Sud}dq vnxs/ 9Suhnlg
guxjh yuvwh/ 477suyh yuvwh/ 477xnorqmly/ 477
Suhuh}/ 43Suhvmhn vnxsryd/ :Suhvolndydqmh/ 473/ 575Sulnorql nxwryl/ :9Sulplwlyqd ixqnflmd/ 4<3
yhnwruvnh ixqnflmh/ 5<6Surµluhqmh ixqnflmh/ 46Surgxnw
gluhnwql/ ;Nduwh}lmhy/ ;yhnwruvnl/ :<yhnwruvnr0vndoduql/ ;4
Surgxnwqr sudylor/ 74
Sur�qmhqmh udvwdyd/ 539Surmhnflmd/ 45Survwru
p0glphq}lrqdoql/ 568
Udglmxv0yhnwru/ 9<Udqj
ghwhuplqdqwlq/ 93pdwulflq/ 93
Udvwdyhnylglvwdqwql/ 548nydgud/ 5:4vhjphqwd/ 539
Udvwdy qd sduflmdoqh ud}orpnh/ 4<<Udyqdolfd
ydomfdvwh sorkh/ <8sduderoh/ <4
Udyqlqvnl oxn/ 556Ud}olnd vnxsryd/ :Ud}uhgl/ ;Ud}yrm
Pdfodxulqry/ 49<Wd|orury/ 49<
Uhgdowhuqludmx�fl/ 45;dowhuqludmx�fl kduqrqlmvnl/ 45<dsvroxwqr nrqyhujhqwdq/ 45:elqrpql/ 4:5glyhujhqwdq/ 457ixqnflmvnl/ 464jhrphwulmvnl/ 457kduprqlmvnl/ 458nrqyhujhqwdq/ 457Pdfodxulqry/ 49</ 594srwhqflmvnl/ 465/ 4:5uhdoqlk eurmhyd/ 456uhdoqlk ixqnflmd/ 464uhodwlyqr nrqyhujhqwdq/ 45;v sr}lwlyqlp fodqrylpd/ 458Wd|orury/ 49</ 594xymhwqr nrqyhujhqwdq/ 45;}eurmly/ 457
Uhnwl�ndelodq oxn/ 55:Uhodflmd
6:5 LQGHNV
dqwlvlphwulfqd/ <elqduqd/ ;srwsxqrj xuh¡dmd/ <ud}uhgehqd/ ;uh hnvlyqd/ ;vlphwulfqd/ ;wudq}lwlyqd/ ;xuh¡dmqd/ <
Uhodwlyqr survwl eurmhyl/ 73Umhµhqmh glihuhqflmdoqh mhgqdg}eh/
673Umhµhqmd
olqhduqr qh}dylvqd/ 68;Umhµhqmh glihuhqflmdoqh mhgqdg}eh
rs�fh/ 673sduwlnxoduqr/ 673srvheqr/ 673
Umhµhqmh mhgqdg}eh/ 79Urwdflmd/ 5<;Urwdflmvnr wlmhor/ 55<
Vduxvvryr sudylor/ 87Vhjphqw/ 43Vhjphqwql reoln
mhgqdg}eh udyqlqh/ ;9Vihud/ <6Vlphwulfql }dslv sudyfd/ ;7Vndoduql surgxnw/ ::Vndoduqr sromh
glihuhqflmdeloqr/ 5<;qhsuhnlgqr/ 5<;
Vnxs/ 9+srwsxqr, xuh¡hq/ <ehvnrqdfdq/ 47flmholk eurmhyd/ 56glvnuhwqr xuh¡hq/ 53ludflrqdoqlk eurmhyd/ 59nrqdfdq/ 47nyrflmhqwql/ ;qhsuheurmly/ 54rph¡hq/ 56<rph¡hq rgr}gro/ <rph¡hq/ 43rph¡hq rgr}jru/ <
rwyruhq/ 56<sduflmdoqr xuh¡hq/ <sduwlwlyql/ :suheurmly/ 54vyxgd jxvw/ 57}dwyruhq/ 56<}ymh}gdvw/ 58;
Volnd vnxsd/ 46Vomhgehqln/ 53Vpmhu yhnwrud/ :3Vpmhuryql nrvlqxvl/ :9Vpmhuryql yhnwru sudyfd/ ;6Vwudqd sorkh
ydqmvnd/ xqxwud]qmd/ 65<Vwuxmqlfh/ 5<:Vx}hqmh ixqnflmh/ 46Vxg/ 6Vxpd
grqmd/ 53:jruqmd/ 53:
Vxpd uhgd/ 457Vxsuhpxp/ <Vxsvwlwxflmd/ 4<7Vxvwdy
elqduql/ 64krprjhql/ 99nrqwudglnwruql/ 9;surwxumhfql/ 9;
Vxvwdy olqhduqlk mhgqdg}ded/ 96
Wdeolfd rvqryqlk lqwhjudod/ 4<6Wdqjhqflmdoqd udyqlqd/ 583Wdqjhqwd
nulyxomh/ 486sorkh/ 583
Wdxwrorjlmd/ 9Wh}lµwh udyqlqvnrj olnd/ 564Whruhp
Dehory/ 47<Ero}dqr0Zhlhuvwudvvry/ 44<Fdqwru0Ehuqvwhlqry/ 48Gduerx{ry/ 4;9Ihupdwry/ 498Ixelqlmhy/ 5:6
LQGHNV 6:6
Juhhqry/ 64<Jxoglqry/ 565Nurqhfnhu0Fdshoolmhy/ 97O* Krvslwdory/ 499Odjudqjhry/ 498r glyhujhqflml/ 665r judglmhqwx/ 667r urwdflml/ 667r vuhgqmrm yulmhgqrvwl/ 498/ 546Slfdugry/ 674Uroohry/ 498Vfkzdu}ry/ 586Vwrnhvry/ 668
Wrfndlq hnvlmvnd/ 4;3l}roludqd/ 485/ 56<nulwlfqd/ 4:8vwdflrqduqd/ 4:8
Wrfndvwdflrqduqd/ 596
Wrn yhnwruvnrj sromd/ 663Wrwdoqd glihuhqflmd/ 575
Xodqfdq sdu pdwulfd/ 85Xpqr}dn pdwulfd/ 85Xqlmd vnxsryd/ :Xvpmhuhqd ghulydflmd
vndoduqrjd sromd/ 635yhnwruvnrjd sromd/ 637
Xvpmhuhqd gx}lqd/ 9<
Ydulmdeodqh}dylvqd/ 44}dylvqd/ 44
Ydulmdeolq suludvw/ 475Ydulmdflmd
q0wrj uhgd l u0wrj ud}uhgd/ 69Ydulmdflmd v srqdyomdqmhp
q0wrj uhgd l u0wrj ud}uhgd/ 6;Ydulmdflmh v srqdyomdqmhp
pxowlvnxsd/ 6;Yhnwru/ :3
ed}ql/ :7mhglqlfdq/ :4
vxsurwdq/ :4Yhnwrul
lvwh rulmhqwdflmh/ :4lvwrj vpmhud/ :4nrolqhduql/ :3/ :7nrsodqduql/ :7
Yhnwruvnd ixqnflmdghulydeloqd x wrfnl/ 5<3glihuhqflmdeloqd x wrfnl/ 5;<qhsuhnlgqd qd vnxsx/ 5;;qhsuhnlgqd x wrfnl/ 5;;
Yhnwruvnd mhgqdg}edsudyfd/ ;6udyqlqh/ ;8
Yhnwruvnl reolnmhgqdg}eh udyqlqh/ ;9
Yhnwruvnrrgx}lpdqmh/ :5
Yhnwruvnr sromhglihuhqflmdeloqr/ 5<;qhsuhnlgqr/ 5<;
Ylµhnudwqln/ 73qdmpdqml }dmhgqlfnl/ 73
]dmhgqlfnd pmhud/ 73qdmyh�fd/ 73
]dslv nulyxomhsdudphwduvnl/ 643yhnwruvnl/ 643
]eudmdqmhpdwulfqr/ 83sdudohorjudpvnr/ :4sr wurnxwx/ :4sulurgqlk eurmhyd/ 4;
]eurm yhnwruvnl/ :4]qdphqnh
elqduqh/ 64ghflpdoqh/ 4;/ 64
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