L-5-Spring2018 (826542), страница 2
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¥.µ ¶ µxc11=yc21c12c22¶µ ¶ µ ¶x~ + γ1 ,y~γ2µC=c11c21c12c22¶∈ O(2),(5.17)¢ १ã«ìâ ⥠¯®«ã稬 ¥ª®â®à®¥ ª¢ ¤à â¨ç®¥ ¢ëà ¦¥¨¥ Fe(~x, y~), ¤«ï ª®â®à®£® ¬ë¢¢®¤¨¬ ¢ à áᬮâ२¥ ᮮ⢥âáâ¢ãî騥 å à ªâ¥à¨á⨪ ¬ A, A1 , δ , , S å à ªâ¥e = det Ae, Se.à¨á⨪¨ Ae, Ae1 , δ~ = det Ae1 , e = . ª¨¬ ®¡à §®¬, ¢¥«¨ç¨ë , δ ïîâáï⢥ত¥¨¥ 5.2. δ~ = δ, ®à⮣® «ì묨 ¨¢ ਠ⠬¨ ªà¨¢®© 2-£® ¯®à浪 .7®ª § ⥫ìá⢮. ¯¨è¥¬ (5.17) ¢ á«¥¤ãî饬 ¢¨¤¥ xc11 y = c2110 γ1x~y~ .γ2c12c22011®£¤ Fe(~x, y~) = F (c11 x~ + c12 y~ + γ1 , c21 x~ + c22 y~ + γ2 )= a~11 x~2 + 2~a12 x~y~ + a~22 y~2 + 2~a1 x + 2~a2 y + a~0 ==( x~ y~ 1)c11 c12γ1c21c22γ2a1100 a121a1 a~11 a~12 a~1x~a~12 a~22 a~2 y~ a~1 a~2 a~01 a1c11 c12 γ1x~a2 c21 c22 γ2 y~ .a010 0 1( x~ y~ 1)a12a22a2ë ¨¬¥¥¬c11eA = c12γ1c21c22γ2a~11 x~2 + 2~a12 x~y~ + a~22 y~2µc11(x~y~)=c12a110a120a11c21c22¶µa11a21a12a22a2a12a22e = . ª ª ª det C · det C = 1, â® δ~ = δ , c11a1c21a20a0¶µc11c21c12c22c12c220γ1γ2 .1¶µ ¶x~ ⇒ Ae1y~= C A1 C.¥«¥¤á⢨¥ 5.1.
¥«¨ç¨ë sgn , sgn δ ïîâáï ää¨ë¬¨ ¨¢ ਠ⠬¨ ªà¨¢®© 2-£® ¯®à浪 ..