12 - 1212 EEE P222 6, 11 9, 11, 12. P P 179 197 x XG ,G X :...

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1 1 1 179 197 P P - 222 6, 9, 11, 12. P EEE , 3:30-5:30 1 : d ª* 1108 1212

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2 Chapter V Eucliden Space §1 . , , ) ( 1 R V n ) , ( ) ( ) ( β α R R V R V × . 0 0 ) , ( 0 ) , ( ) 4 ( ); , ( ) , ( ) , ( ) 3 ( ); , ( ) , ( ) 2 ( ); , ( ) , ( ) 1 ( = = + = + = = γ k k E E E
3 ( , ) arccos , 0 α β ϕ π = . . 1 β α - Schwarz Cauchy ( , ), α α = ( , ) 0. D = = = = n n b b a a 1 1 , 2 2 2 2 1 1 1 1 n n n n a b a b a a b b + + ≤ + + + + L L L 2 2 ( ) ( ) ( ) ( ) b b b a a a f x g x dx f x dx g x dx

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4 . 1 , , , , . 2 2 1 = i n ε ∪ θ≈♠ L . . 3 Schmidt c n α , , 1 L , , 1 1 1 1 1 1 1 β = = = e , , ) , ( 2 2 2 1 1 2 2 2 = - = e e e L L L . , ) , ( ) , ( ) , ( 1 1 2 2 1 1 n n n n n n n n n n e e e e e e e = - - - = - - L
5 . . 4 1 1 R Q , , , 1 n i n R α Η ϒ ∂♠ L , 1 1 1 1 e β = = , ) , ( 2 2 1 1 2 2 e e e + = L L L . ) , ( ) , ( 1 1 1 1 n n n n n n n e e e e e + + + = - - L ( 29 ( 29 = n n n e e * * * 1 1 1 L L L

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6 ( 29 ( , ) . i j n n A α α × = (1) ; 1 1 1 1 1 . . 5 n , , , X Y α β (2) ; 1 1 1 1 (3) . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ( , ) 0 ( , ) 0 0. T X AX α = ≥ = ⇔ = ( , ) = ( ) ( ) ( ) T T T T X AY PX A PY X P AP Y = = % % % % T X BY = % % 1 1 ( , ) = ( , ) n n T i j i j i j x y X AY = = = ∑∑ T B P AP =
7 §2-3 ‹N¶ ª* . , , 0 ) , ( , , , , : W W W V V W V W

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12 - 1212 EEE P222 6, 11 9, 11, 12. P P 179 197 x XG ,G X :...

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