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  t b 62 72 5bp g/b f g/b f ng? t os hib a ?b i- cm os ?i n te g r a te d ?cir cu it?s il icon ?mo n o li th ic ? t b627 25bp g ,? t b627 25bf g ,?t b627 25bfng ? 8- b i t?con st an t- cur r en t?l e d?dr i v er ?of ?t he ?3. 3- v ?an d? 5- v ?pow er ?supp l y?v o l t ag e ?op er at i on t he tb 627 2 5b p g / b f g / b f ng a re co mp r is ed of cons tant - cu rren t dr iv er s de s ig ned f or l e d s an d l e d di s pl ay s . t he ou tp u t curr ent v alu e can be s et u s ing an ex ter n al re s i s tor . a s a re s ul t, al l ou tp u ts w ill ha v e v ir tually th e s a me cur ren t lev els . t his dr iv er inco rp orat es an 8- bit con s tant - cur ren t o utp ut, an 8-bit s hif t regi s te r , an 8-b it lat ch cir cuit an d an 8 - bit a n d - g ate circ u it . t hese d river s ha v e been d es ig n ed us ing t he b i- c mo s pr o c es s . t his devi ce s a re a pr o duc t f or th e p b f ree . ? f ea t u r es o ut put cu rren t cap abili ty an d nu mb er of ou tp u ts : 90 ma 8 out put s c onst a nt cur rent r an g e: 5 to 80 ma a pp li cati on out put v olt ag e: 0. 7 v ( out put cu rren t 5 t o 8 0 ma) 0. 4 v ( out put cu rren t 5 t o 4 0 ma) f or an ode - c om mon l e d s i nput s ig na l v ol tag e lev el : 3. 3 - v an d 5-v c mo s l ev el ( sch mit t tr ig g er in put ) max im um ou tp u t ter minal v ol tag e : 17 v seria l data t ran s f e r rate : 20 m h z ( max , ca s ca de conn ect io n) o p erat ing te mp e ratu re rang e : t o pr = ? 40 to 85 c p ack ag e: t y pe b p g : d i p 16-p - 300 - 2 . 54a t y pe b f g : ss o p 16-p - 225 - 1 . 00a t y pe b f ng : ss o p 16-p - 225 - 0 . 65b p ack ag e an d pin lay ou t: p in lay ou t a nd f un ct io na li ty ar e s i mila r to tho s e of th e t b 62 705 c s e rie s a nd t b 627 25a s erie s . ( e ach cha rac ter is tic v alu e i s dif f e rent . ) c onst a nt - cur rent a ccura cy ( all ou tp u ts on ) ? o u tp u t? v o l t a g e ? curr e n t? err o r? b e t wee n ?b i ts ? curr e n t? err o r? b e t wee n ? ics ? o u tp u t? c u rr e n t > = 0 .4 ?v? 5 ?t o ?4 0 ? m a > = 0 .7 ?v 6 % 1 5 % ? 5 ?t o ?9 0 ? m a? t b6 2 7 2 5 bpg ? t b6 2 7 2 5 b fg? t b6 2 7 2 5 b fng ? w e i gh t ? d i p 16-p - 300 - 2 . 54a : ? 1 . 1 1? g? ( t y p. ) ? s s o p 16 - p - 22 5-1 . 00a : ? 0 . 14? g ? ( t yp . ) ? s s o p 16 - p - 22 5-0 . 65b : ? 0 . 07? g ? ( t yp . ) web: www.marktechopto.com | email: info@marktechopto.com company headquarters 3 northway lane n orth la t ham , new york 12110 toll free: 800.984.5337 fax: 518 .785 . 47 25 california sales office: 950 south coast drive, suite 2 2 5 costa mesa, california 92626 toll free: 800.984.5337 fax: 714.850.9314
7 %   %3 *% ) *% ) 1*          3 lq  $ vv lj q p hq w  w rs y l h z  3 lqod\rx w dq g  i xq fw l rqd ol w\d uh v l plod u wr  wkr v h  r i  wkh  7 %  &   hdfk  fkd udf whu l v wlf  y dox h  l v  gli i hu hqw   %or fn 'ld j u dp 7 u x w k 7 d e oh  &/2& . / $7 &+  (1$%/( 6(5,$ / ,1 2 87    2 87    2 87   6(5,$ / 2 87 + /  'q 'q ' q -   ' q -   'q -   /  /  'q +   1 r f k d q j h  'q -   + /  'q +   'q +   'q -   'q -   'q -   ; /  'q +   'q +   'q -   'q -   'q -   ; + 'q +   2 ii  'q -   1 rw h    28 7   w r 28 7  = 2 q  z kh q ' q = +   w r 28 7   w r 28 7  = 2 i i  z kh q ' q = /  , q r u gh u  w r  h qvxuh  w k dw  w kh  o h yh o  ri  w kh  srz h u  vxs so \ y ro w djh  l v  fru u h fw   dq  h [ w h u qdo  u h vl v w ru  p xv w  eh frqq h fw h g eh w z h h q 5  ( ; 7dqg  * 1 '   6(5,$ / ,1 / $7 &+  2 87   5( ; 7 (1$%/( ,5(*  4  /      ' 4  /      ' '    4  & . 4  /  ' '    4  & . '    4  & . &/2& . 28 7   2 87   6(5,$ / 2 87 * 1'  6(5,$ / ,1 / $7 &+  &/2& . 2 87   2 87   2 87   2 87   9''  5( ; 7 6(5,$ / 2 87 (1$%/( 2 87   2 87   2 87   2 87 
7 %   %3 *% ) *% ) 1*          7 lp lq j 'ld j u dp  : d u q l qj   /dwfk  f l u fxl w  l v  o h yh o h go dw f k f l u fx l w   % h  f duh i x o  eh fdxvh  l w  l v q rw  w u l jjh u h g o dw fk fl u fx l w   1 rw h    7k h  o dw fkh v f l u f xl w  kro gv gdwd  e\  sx o o l qj w kh / $ 7 &+  w h u p l q do  /rz   $ qg z kh q / $ 7 &+  w h u p l qd o  l v d  k l jk o h yh o   o d w fk  f l u fxl w  grh vq? w  k ro g  gdwd   dq g l w  sd vvh v i u r p  w kh  l qsx w  w r w kh  rxws xw   : kh q ( 1$ % / (  w h u p l q do  l v d  o rz  o h yh o   rxws xw  w h u p l qdo  28 7   w r 28 7   u h vsrq g w r w kh  gd w d  dqg  rq dqg  r i i  grh v  $ w w h qw l rq   7k l v  , &  fdq  eh  xvh g l q     9  ru     9   + rz h yh u   xvh  w kh  9 ''  srz h u  vxss o \  dqg  w kh  l qsx w  o h yh o  l q w kh  vd p h yro w djh  v\v w h p   6(5,$ / ,1 / $7 &+  &/2& . 2 87   28 7   2 87   6(5,$ / 2 87 (1$%/( 2 87     9  9  9 q =                   9  9  9   9  9  9   9  9  9 2 q  2 ii  2 q  2 ii  2 q  2 ii  2 q  2 ii    9  9  9 2 ii  2 ii  2 ii  2 ii  2 q  2 ii  2 ii  2 ii  2 ii  2 ii  2 q  2 ii
7 %   %3 *% ) *% ) 1*          7 hup lq do 'hv fuls w lr q  3l q 1 r  3l q 1 d p h  )x q f w l r q    * 1'  * 1' w h u p l q d o i r uf r q wu r o  o r j l f    6(5,$ / ,1 ,q s x w w h u p l q d o i r uv h ul d o  g d w d i r u g d w d v k l i w u h j l v w h u   &/2& . ,q s x w w h u p l q d o i r uf o r f n i r u g d w d v k l i w r q  ul v l q j  h g j h    / $7 &+  ,q s x w w h u p l q d o i r u g d w d v wu r e h  : k h q  wk h  / $7 &+  l q s x w l v g u l y h q +l j k  g d w d l v  o d wf k h g  : k h q l w l v s x o o h g  / r z  g d w d l v  k r o g   w r    2 87   w r  2 87   & r q v w d q wf x uu h q w r x ws x w w h u p l q d o v     (1$%/( ,q s x w w h u p l q d o i r u r x ws x w h q d e o h  $o o  r x ws x wv  2 87   w r 2 87  e h w x u q h g  r i i  z k h q  wk h  (1$%/( w h u p l q d o l v  g ul y h q + l j k  $q g  d u h w x uq h g  r q  zk h q  wk h w h up l q d o l v g ul y h q / r z    6(5,$ / 2 87 2 x ws x w w h u p l q d o i r uv h ul d o  g d w d  l q s x w r q 6 (5,$ / ,1 w h u p l q d o     5( ; 7 ,q s x w w h u p l q d o  x v h g w r f r q q h f w  d q  h [ w h u q d o u h v l v w r u 7 k l v u h j x o d w h g w k h  r x w s x w f x uu h q w     9 ''    9 d q g   9v x s s o \  y r o w d j h w h u p l q d o   ( t x ly do hq w &lu fx lw v i r u , q s x w vd q g 2x w s x w v ( 1 $ %/ (  7 h up l qd o /$ 7 &+  7 h up l qd o &/ 2&.6 ( 5, $ /  ,1 7 h up l qd o 6 ( 5,$ / 2 8 7  7 h up l qd o 28 7   w r 28 7   7 h up l qd o v  9 '' (1$%/( * 1'     n w    w 5 83  9 '' / $7 &+  * 1'     w 5 '2 : 1     n w &/2& . 6(5,$ / ,1 9 '' * 1'     w 9 '' * 1'     w 6(5,$ / 2 87 3 d u d v l wl f ' l r g h  2 87   w r  2 87   * 1'
7 %   %3 *% ) *% ) 1*          0 d[ lp x p 5dw lq j v 7 rs u =   ? &  &k d u d f w h u l v wl f v  6 \ p e r o  5 d wl q j  8ql w 6x s s o \  y r o w d j h  9 ''   9 ,q s x w y r o w d j h  9 , 1 -    w r 9 '' +    9 2 x ws x w f x uu h q w , 2 87     p $f k  2 x ws x w y r o w d j h  9 2 87 -    w r    9 %3* w \ s h  zk h q  q r w p r x q w h g  3 g     %)*%)1*  w \ s h  zk h q  q r w p r x q w h g      3 r zh u g l v v l s d wl r q  1 r w h    %)*%)1*  w \ s h  r q  3&%  3 g     : %3* w \ s h  zk h q  q r w p r x q w h g  5 wk m  d     %)*%)1*  w \ s h  zk h q  q r w p r x q w h g  5 wk m  d      7 k h up d o  u h v l v w d q f h  1 r w h    %)*%)1*  w \ s h  r q  3&%  5 wk m  d      ?& : 2 s h u d wl q j w h p s h u d w x u h  7 rsu -   w r    ?& 6w r u d j h w h p s h u d w x u h  7 v wj -    w r     ?& 1 rw h    % 3 *  w \sh   3 rz h u  g l vv l sd w l rq l v gh o d w h g e\   p :  ?&  l i  gh yl fh l v p rx qw h g rq  3 & %  dqg  d p el h qw  w h p sh u dw x u h  l v  der yh  ? &   % )* dqg  % )1 *  w \sh   3 rz h u  gl vv l sdw l rq  l v gh o dw h g e\      p :  ?&  l i  gh yl fh  l v p rxq w h g rq  3 & %  d qg d p e l h qw  w h p sh u dw x u h  l v  der yh  ? &  : l w k gh yl fh  p rxq w h g r q j o dv v h sr[ \ 3 & %  ri  o h vv w kdq    & x  dqg  r i  gl p h qv l rqv   p p   p p    p p  5hfr p p hq g hg 2s hudwl q j &r q g lw lr q v 7 rs u = -   ? &w r  ? &xqo h v v rwk h uz lv h v sh f l i l h g  &k d u d f w h u l v wl f v  6 \ p e r o  7 h v w & r q g l w l r q  0 l q  7 \ s  0 d [  8ql w 6x s s o \  y r o w d j h  9 '' ?      9 2 x ws x w y r o w d j h  9 2 87 ? ?      9 , 2 87  ( d f k '&  f l uf x l w  ?    p $f k  , 2 + 6(5,$ / 2 87 ? ? -   2 x ws x w f x uu h q w , 2 / 6(5,$ / 2 87 ? ?   p $ 9 , +   9 '' ? 9 '' +     ,q s x w y r o w d j h  9 ,/ ? -     ?   9 '' p $ &o r f n i uh t x h q f \  i &/.  & d v f d g h & r q q h f w h g ? ?    0 +]  / $7 &+  s x o v h  z l g wk  /$ 7 &+ z w ?   ? ? q v  , 2 87 > =    p $     ? ? (1$%/( s x o v h  z l g wk  1 r w h    ( 1$% /(  z w , 2 87 <    p $     ? ? q v  &/2& . s x o v h  z l g w k  w z&/2 &.   ? ? 6 h w x s  wl p h i r u&/ 2 & .w h u p l q d o  w 6 ( 7 83    ? ? + r o g w l p h i r u& / 2 &. w h u p l q d o  w +2 /'   ? ? 6 h w x s  wl p h i r u / $7 &+  w h u p l q d o  w 6 ( 7 83 ?   ? ? q v  1 rw h    : kh q  w kh  sx o vh  r i  w kh  o rz  o h yh o  l v l qsx w w h g w r  w kh ( 1$ % / (  w h u p l qd o  k h o g l q  w kh  kl j k o h yh o 
7 %   %3 *% ) *% ) 1*          ( ohf w u lf do &k dudfw hulvw lf v 9 ' ' =   9  7 d =   ? &xqo h v v rwk h uz l v h v sh f l i l h g  &k d u d f w h u l v wl f v  6 \ p e r o  7 h v w & r q g l w l r q  0 l q  7 \ s  0 d [  8ql w 6x s s o \  y r o w d j h  9 '' 1 r up d o  r s h u d w l r q          9 , 2 87  9 2 87 =   9  9 '' =   9 5 ( ; 7 =    w                   , 2 87  9 2 87 =   9  9 '' =  9 5 ( ; 7 =    w                   , 2 87  9 2 87 =   9  9 '' =   9 5 ( ; 7 =    w                   2 x ws x w f x uu h q w , 2 87  9 2 87 =   9  9 '' =  9 5 ( ; 7 =    w                   p $ d , 2 87  9 2 87 =   9  $o o  r x ws x wv 21  5 ( ; 7 =    w ?      2 x ws x w f x uu h q w (uu r u e h w zhh q e l wv d , 2 87  9 2 87 =   9  $o o  r x ws x wv 21  5 ( ; 7 =    w ?        2 x ws x w o h d n d j h f x uu h q w , 2 = 9 2 87 =   9 ?    m $ 9 , + ?    9 '' ? 9 '' ,q s x w y r o w d j h  9 ,/ ? * 1' ?    9 '' 9 , 2 + =    p $  9 '' =   9 ? ?    62 87 w h u p l q d o  9 2 / , 2 + =    p $  9 '' =  9 ? ?    9 , 2 / = -     p $ 9 '' =    9  ? ? 2 x ws x w y r o w d j h  9 2 + , 2 + =    p $  9 '' =  9   ? ? 9 2 x ws x w f x uu h q w 6x s s o \  y r o w d j h  5 h j x o d wl r q   9 '' 9 '' =  9 ?    9 ?          3x o o x s u h v l v w r u 5 8s  (1$%/( w h up l q d o              n w 3x o o g r zq u h v l v w r u 5 'rzq  / $7 &+  w h up l q d o              n w , '' 2 ))  9 2 87 =    9 5 ( ; 7 = 2 3(1 ?       , '' 2 ))  9 2 87 =    9  $o o  r x ws x wv 2) ) 5 ( ; 7 =    w       , '' 2 ))  9 2 87 =    9  $o o  r x ws x wv 2) ) 5 ( ; 7 =    w       9 2 87 =   9  $o o  r x ws x wv 21  5 ( ; 7 =    w ?     , '' 2 1  6 d p h  d v w k h  d e r y h  7 rsu = -   ?& ? ?    9 2 87 =   9  $o o  r x ws x wv 21 ?       6x s s o \ f x u u h q w , '' 2 1  6 d p h  d v w k h  d e r y h  7 rsu = -   ?& 5 ( ; 7 =    w ? ?    p $
7 %   %3 *% ) *% ) 1*          6 zlw fk lq j  &k d ud f w h ul v w l f v  7 r s u =   ?& x q o h v v  r w k h u z l v h  v s h f l il h g  &k d u d f w h u l v wl f v  6 \ p e r o  7 h v w & r q g l w l r q  0 l q  7 \ s  0 d [  8ql w w s/+  &/. w r  2 87 q  / $7 &+ = 3+ (1$%/( = 3 / ?         w s/+  / $7 &+  w r  2 87 q  (1$%/( = 3 / ?         w s/+  (1$%/( w r  2 87 q  / $7 &+ = 3 + ?         w s/+ &/. w r 6 (5,$ / 28 7    ? w s+/  &/. w r  2 87 q  / $7 &+ = 3+ (1$%/( = 3 / ?         w s+/  / $7 &+  w r  2 87 q  (1$%/( = 3 / ?         w s+/  (1$%/( w r  2 87 q  / $7 &+ = 3 + ?         3u r s d j d w l r q g h o d \ w l p h  w s+/ &/. w r 6 (5,$ / 28 7    ? q v  2 x ws x w u l v h  wl p h  w ru    w r      r i  y r o w d j h  zdy h i r u p            q v  2 x ws x w i d o o w l p h  w ri    w r      r i  y r o w d j h  zdy h i r u p            q v  0 d [ l p x p f o r f n ul v h w l p h  w u ? ?   x v  0 d [ l p x p f o r f n i d o o w l p h  w i & d v f d g h f r q q h f w l r q  l v q ? w j x d u d q w h h  1 r w h  ? ?   x v  & rqg l w l r qv  u h i h u  w r w h vw  fl u fx l w   7 r s u = ? &   9 '' = 9 ,+ =  9   9 2 87 =   9   9 ,/ =   9   5 (; 7 =  w   9 / =    9   5 / =  w   & / =     s)  1 rw h    , i  w kh  gh yl fh  l v  frq qh fw h g l q  d  fdv fdgh  dqg  w u  w i i r u  w kh  z dyh i ru p  l v  o d u jh   l w  p d\  qr w  eh  srvv l e o h  w r  dfk l h yh w kh  w l p l qj  u h txl u h g i ru  gd w d  w u dqv i h u   3 o h dvh  frqv l gh u  w kh  w l p l qjvf duh i x o o \  7 h vw &lu fx lw  * 1'  6(5,$ / ,1 / $7 &+  &/2& . 2 87   9 '' 5( ; 7 6(5,$ / 2 87 (1$%/( 2 87   )x q f w l r q  j h q h u d w r u , 2 / 9 , +  9 +/ , u hi & / 9 / 5 / & / / r j l f l q s x w zdy h i r up  9 '' = 9 ,+ =  9 9 ,/ =  9 w u = w i =    q v     w r      , ''
7 %   %3 *% ) *% ) 1*          7 lp lq j : dy hi r u p v   &/ 2&. 6 ( 5,$ /  ,1  6 ( 5,$ / 2 8 7   &/ 2&. 6 ( 5,$ /  ,1  /$ 7 &+   ( 1 $ %/ (   28 7 q   28 7 q  w ri                 w ri 2 87 q  2 ))  2 1 w +2 /' w s/+ w s +/ w z&/.                  w 6 ( 7 83  6(5,$ / ,1 &/2& . 6(5,$ / 2 87     w z(1$      w 6 ( 7 83  6(5,$ / ,1 &/2& .                     w 6 ( 7 83  w s+/  /+  w s+/  /+  w s+/  /+  w z/$ 7 (1$%/( / $7 &+  2 87 q
7 %   %3 *% ) *% ) 1*          2x w s x w &x u u h q w  'x w \  / ( 'w x u q  r q u dw h  '87 < 7xu qr qudwh    , 28 7  p$  '87 < 7xu qr qudwh    , 2 87  '87 < 2 q 3& % u h f r p p h q g h g  , 28 7  p$  , 2 87  '87 < 2 q 3& % u h f r p p h q g h g               % )* % )1 *  % 3 *  7 rsu = ?& 9 '' = 9  9 &( =  9  7 m = ?& p d[              7 rsu = ?& 9 '' = 9  9 &( =  9  7 m = ?& p d[  % )* % )1 *  % 3 *  '87 < 7xu qr qudwh    , 28 7  p$  , 2 87  '87 < 2 q 3& % u h f r p p h q g h g              7 rsu = ?& 9 '' = 9  9 &( =  9  7 m = ?& p d[  % )* % )1 *  % 3 *  5 (;7  w  , 28 7  p$  , 2 87  5 ( ; 7                7 rsu = ?& 9 &( =  9     , 2 8 7 p $ =  ? 5 ( ; 7 w   $ p el hqw whp shudwxuh  7 d  ?&  3 g 7 rsu 3 rzhugl v v l sdw l rq   3 '  : ,&                 % )* % )1 *  p rxqw hg 3 &%  % 3 *  ) u hhd l u
7 %   %3 *% ) *% ) 1*          $ s s olf dw lr q &lu fx lw  h[ dpsoh    7 k h j hq hudof r p s r vlw l r q lq vw dw lf ol j k w lq j r i  / ( '  0ruh  w kd q9 /('  9 > = 9 i wr wdo  p d[ +    lv  uh fr pp hqgh g  z lw k wkh i ro or z lqj  ds solf d wlrq  fl ufxl w z l wk  wkh  / ( '  sr z hu  v xs so\9 /('   u  7 kh  v h wxs u hv l v wdqfh i ru  wkh  v hwx s ri  rx ws x w f xuu hqw  ri  hy hu\, &   u  7 kh  y dulde oh uh v l v wdq fh i r u w kh eulj kw qhv v  frq wu r o r i  hy h u\/( '  pr gxoh   9 /( '  e l w 6 ,32 / d wf k h v  d q g  & r q v w d q wv l q n f x uu h q w g u l y h uv  7 %     % 3* %) * %) 1*   e l w 6 ,32 / d wf k h v  d q g  & r q v w d q wv l q n f x uu h q w g u l y h uv  7 %     % 3* %) * %) 1*  &8 6(5,$ / ,1 (1$%/( / $7 &+  &/2& . 6&$1  u =    w p l q  6(5,$ / 2 87 6(5,$ / 2 87 u =    w p l q  u  ( [ d p s o h  7 ' 0       e l w p x o wl f k l s 313 wu d q v l v w r u d uu d \  zkl f k  l v q r w x v h g l q v w d wl f  o l j k w l q j v \ v w h p  6(5,$ / ,1 (1$%/( / $7 &+  &/2& . 2   2   2   2   2   2   2   2   2   2 
7 %   %3 *% ) *% ) 1*          $ s s olf dw lr q &lu fx lw  h[ dpsoh   :k hq w k hf r q g lw l r q  r i 9 / ('  lv 9 / (' >  9   7 khxqq h fh v v d u\yr owdjh  l v  rqh hi i hf wlyh wh fkq ltx h d v  wr  p dn lqj  wkh  y ro wdj h  gh v f hqg  z lwk  wk h ]hq qru gl rgh    e l w 6 ,32 / d wf k h v  d q g  & r q v w d q wv l q n f x uu h q w g u l y h uv  7 %     % 3* %) * %) 1*   e l w 6 ,32 / d wf k h v  d q g  & r q v w d q wv l q n f x uu h q w g u l y h uv  7 %     % 3* %) * %) 1*  &8 6(5,$ / ,1 (1$%/( / $7 &+  &/2& . 6&$1  u =    w 9 /( ' 6(5,$ / 2 87 6(5,$ / 2 87 u =    w u  ( [ d p s o h  7 ' 0       e l w p x o wl f k l s 313 wu d q v l v w r u d uu d \  zkl f k  l v q r w x v h g l q v w d wl f  o l j k w l q j v \ v w h p  6(5,$ / ,1 (1$%/( / $7 &+  &/2& . 2   2   2   2   2   2   2   2   2   2 
7 %   %3 *% ) *% ) 1*          $ s s olf dw lr q &lu fx lw  h[ dpsoh   :k hq w k hf r q g lw l r q  r i 9 / ('  lv 9 i +  < 9 / (' <  9   9 2 87 = 9 /(' - 9 i =    wr    9  lv  wk h pr v w  v xlwd eoh  i r u 9 2 87   6xuso xv  9 2 87 fd xvh v  dq  , &  i hy hu  dq g  wk h x v ho hv v  frq v x ps wlrq  hoh fw u lf sr z hu   , w l v  wkh rqh  z d\  r i  ehlq j  hi i hf wlyh  wr  ex l og  lq  wkh  u  lq  wk lv  su reoh p   u f dq  pd n h  d fdof xod wl rq wr  wkh  i ru pxod  u  rkp v = v xu so xv 9 2 87  , 2 87   7 krx j kw k h uh v lv wdqf h sdu wv  lqf uhd v h   wkh  i l[ h g frq v wdq w fx uuhqw  shu i ru pdq fh lv  n hs w   e l w 6 ,32 / d wf k h v  d q g  & r q v w d q wv l q n f x uu h q w g u l y h uv  7 %     % 3* %) * %) 1*  &8 6(5,$ / ,1 (1$%/( / $7 &+  &/2& . 6&$1  u =    w 9 /( ' =   9 6(5,$ / 2 87 6(5,$ / 2 87 u =    w u  ( [ d p s o h  7 ' 0       e l w p x o wl f k l s 313 wu d q v l v w r u d uu d \  zkl f k  l v q r w x v h g l q v w d wl f  o l j k w l q j v \ v w h p  u  u  6(5,$ / ,1 (1$%/( / $7 &+  &/2& . 2   2   2   2   2   2   2   2   2   2    e l w 6 ,32 / d wf k h v  d q g  & r q v w d q wv l q n f x uu h q w g u l y h uv  7 %     % 3* %) * %) 1*
7 %   %3 *% ) *% ) 1*          1r w hv  2 s hudw lrq pd\  ehf rph  xq v wde oh gxh  wr  wkh  ho hfw ur pdj qhw l f lqw hu i huh qfh  fdx v h g e\  wkh  z lulqj  dq g  rwk hu skhq rp hqd   7 r fr xq wh u wkl v   lw  l v  uhfr p phq ghg  wk dw  wkh  , &  e h v lw xd wh g dvfor v h  dv  s rv v le oh wr  wkh  / ( '  pr gxoh   , i  ry h uyrowdj h l v  fdx v h g e\  lqg xfwd qfh  eh wz hhq  wkh  / ( '  d qg wkh rxw sxw  wh up lqd o v   er wk wkh  / ( '  dq g wkh whu plqdo v  pd\  v xi i hu  gd pdj h  d v  d  u hv x ow   7 khuh  lv  rqo\  rq h * 1 '  wh up lqd o  rq  wkl v  ghyl fh z k hq wkh  lq gxfw d qfh  lq  wkh  * 1 '  olqh  dq g wkh  uh v l v wr u d uh  oduj h   wkh ghylfh  pd\  pdo i xq f wlrq  gx h wr wkh  * 1 '  qrl v h z k hq rxw sx w v z lwf klq j  e\  wk h fluf xlw  erd ug  sd ww h uq dq g  z lulqj   7 r dfk lhy h  v wdeoh  r shu d wlrq   lw  l v  qh fh v v du\  wr  frqq hfw  d  uh v lv wr u ehw z h hq wkh  5 ( ;7  wh up lqd o  dq g  wk h * 1 '  olq h  ) oxfwxd wlrq  lq  wkh  rx ws x w z dy h i r up  l v  o ln ho\  wr rff xu z k hq  wkh  * 1 '  olqh  l v  xq v wdeoh  ru  z khq  d  fd sdfl wru  ri  pru h wkdq   s)  l v  x v h g  7 khuhi ruh   wd n h  fdu h z kh q gh v lj qlq j  wkh  fl ufxl w e rdu g sdw w huq o d\ rxw  dq g wkh z l ulqj  i u rp  wk h frqw uroo hu   7 klv ds solf d wlrq  f lufx lw  lv  d  uh i hu hqfh  h[ d ps oh dq g  l v  qr w j xd udqw hhg  wr  z r un  lq  doo  fr qgl wlrq v   % h v x uh  wr  fk hf n  wkh  rs hud wlrq  ri  \ rx u fluf x lw v   7 klv ghyl fh grh v  qrw  lq foxg h su r whf wlrq  fl ufxl wv  i ru  ry hu y ro wdj h  ry h u f xuu hqw  ru  ry h u whp sh udwx uh  , i  s urw hfw lrq lv  qh fhv v d u\  lw  p xv w e h lq fru sr udwh g lqwr  wk h frqwu ro flu fxlw u\ 7 khg hy lfh  l v  o ln ho\  wr  eh  gh v w ur\h g l i  d v kru w flu fxlw  r ffxu v  ehw z hhq  hl wkhu  r i  wkh  sr z h u v x ss o\  slq v  dq g  dq \  ri  w kh rxwsx w whu plqd ov  z khq  gh v lj qlq j  fl ufxl w v   sd\  v shf ldo  dw wh qwlrq  wr  wk h sr v lwl rqv  r i  wkh  rxw sxw  w hu plqdo v  dq g  wk h sr z hu  v x ss o\  w hu plqdo v  9 ' '  dq g 9 /('   dq g  w r wkh gh v lj qri  w kh * 1'  ol qh
7 %   %3 *% ) *% ) 1*          3 df nd j h 'lp hq vl r q v  : h l jkw      j  w \s 
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