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º¾º¾ ÅÙ<strong>×</strong>ÌÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong> ÔØÖºÅÓÙÐÖÓÖÑ<strong>×</strong><br />

Ì<strong>×</strong>ØÓÅÙ<strong>×</strong>ØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>¸<strong>×</strong>ÒÓÚ¸ÛÐÐÑÔÓÖØÒØØÓÙ<strong>×</strong>ÛÒÛÒ ØØÓÒÓØÑÓÙÐÖÖÓÙÔÓÒØÙÔÔÖÐÔÐÒºËÓÖ¸ÛÚÙ<strong>×</strong>ØÒÛØ ÖÓÙÐÝÔÖÓÙÒØÓÒ<strong>×</strong>¸ÒÓÛØÔÖÓÓØÙÒØÓÒÒØÛÓÖÒØÖØÓÒ<strong>×</strong><br />

ÓÒ<strong>×</strong>ÖÙÒÑÓÙÐÖØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>ÛÖÐØÕÙÚÐÒØ<strong>×</strong>Ø<strong>×</strong>ÓÔÖ<strong>×</strong>ÓÖÔÖÓ<strong>×</strong>ºÌ<strong>×</strong> ÖØÖÞØ<strong>×</strong>ØÒØÔÖ<strong>×</strong>Ó<strong>×</strong>ÙÔÖÓ<strong>×</strong>ÛÒØ<strong>×</strong>ÑÐØØÒC¸ÛÑØÓ ÒÖØ<strong>×</strong>ÔÖÐÐÓÖÑÛÒ<strong>×</strong>ÐØØ<strong>×</strong>ÙÒØÓÒ<strong>×</strong>ÓØÔÖÓ<strong>×</strong>ºÁÒ<strong>×</strong>ÒØÓ<br />

ØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>ÓÖÑÖÓÙÔ¸<strong>×</strong>ÛÛÐÐ<strong>×</strong>ÒÓÛ¸ÙØÓÖØØÛÒØÓÜØÒØ<br />

Ø<strong>×</strong>ÔÓÒØ<strong>×</strong><strong>×</strong>ÓÐÐÓÛ<strong>×</strong> ´ººCØÓØÖÛØØÔÓÒØØ∞º˜C<strong>×</strong>Ð<strong>×</strong>ÓÐÐØÊÑÒÒ<strong>×</strong>ÔÖµºÌÓÓ<strong>×</strong>Ó¸Û<br />

Ò ∞ºÏÒØÚÐÙÓfØ ÓÑÒÓÒØÓÒÓØØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>ØÓØÜØÒÓÑÔÐÜÔÐÒ˜C ≡<br />

´ºµ ÚØÓÜØÒØÒØÓÒØÓØÔÓÒØ<strong>×</strong>z= − d cÒz=<br />

f( −d)<br />

= ∞ = a c<br />

c , 2ÑØÖÜ 1ºÆÓÛ¸ ÛØØÙ<strong>×</strong>ÙÐÓÒÚÒØÓÒØØz/0 =<br />

´ºµ<br />

ÅÙ<strong>×</strong>ØÖÒ<strong>×</strong>ÓÖÑØÓÒÖÑÒ<strong>×</strong>ÙÒÒÛÑÙÐØÔÐÝÐÐØÓÒØ<strong>×</strong>a, b,<br />

ÝØ<strong>×</strong>ÑÒÓÒÞÖÓÓÒ<strong>×</strong>ØÒغÌÙ<strong>×</strong>¸ÛÐÓ<strong>×</strong>ÒÓÒÖÐØÝÒ<strong>×</strong><strong>×</strong>ÙÑÒad − bc =<br />

ÐØÙ<strong>×</strong><strong>×</strong><strong>×</strong>ÓØÛØÅÙ<strong>×</strong>ØÖÒ<strong>×</strong>ÓÖÑØÓÒ´ºµ¸2 <strong>×</strong><br />

ØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>¸Ø<strong>×</strong><strong>×</strong>ÝØÓÚÖݸ<strong>×</strong>ÚÒÝØÑØÖÜÔÖÓÙØÓØÑØÖ<strong>×</strong><strong>×</strong><strong>×</strong>ÓØ<br />

)ÓÖÖ<strong>×</strong>ÔÓÒ<strong>×</strong>ØÓØÒØØÝØÖÒ<strong>×</strong>ÓÖÑØÓÒ<br />

1ºÌÒ¸ØÓÑÔÓ<strong>×</strong>ØÓÒÓØÛÓ<strong>×</strong>Ù<br />

.<br />

Ð<strong>×</strong>Ó<strong>×</strong>ÒÛÚ<strong>×</strong><strong>×</strong>ÙÑad − bc = 1¸ØA ´º½¼µ<br />

ØÓØØÖÒ<strong>×</strong>ÓÖÑØÓÒ<strong>×</strong>¸Ò<strong>×</strong>Ð<strong>×</strong>ÓÅÙ<strong>×</strong>ØÖÒ<strong>×</strong>ÓÖÑØÓÒºÌÒØØÝÑØÖÜI =<br />

(<br />

1 0<br />

0 1<br />

f(∞)<br />

∞z≠º<br />

( )<br />

a b<br />

A =<br />

c d<br />

=<br />

f(z) = 1z + 0<br />

0z + 1 .<br />

C ∪ {∞}<br />

c, d<br />

ÁÒÚÖØÒ´ºµ¸Ò<strong>×</strong>ÓÐÚÒÓÖzÒØÖÑ<strong>×</strong>Óf(z)<br />

z = df(z) − b<br />

−cf(z) + a ,<br />

´º½½µ ½½

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