- 475 名前：１３２人目の素数さん mailto:sage [2020/11/27(金) 18:41:52.23 ID:xfjb/py5.net]
- >>444
合っています。
(a)
F(U,V) = 2U + 3V + (2次以上の項),
x = X-2, y = Y+3, z = Z-1 とおく。
G(x,y,z) = G(X-2, Y+3, Z-1)
= F(X+2Y+3Z, (X-2)^3 + (Y+3)^2 - (Z-1)^2)
= F(X+2Y+3Z, 12X+6Y+2Z) + (2次以上の項)
= 2(X+2Y+3Z) + 3(12X+6Y+2Z) + (2nd.)
= 38X + 22Y + 12Z + (2nd.),
G=0 ⇒ Z = - (19/6)X - (11/6)Y + (2nd.),
z = - (11+19x+11y)/6 + (2nd.),
(b)
D g(-2,3) = [ -19/6, -11/6 ]
(c)
F(U,V) = 2U + 3V + (3/2)UU - UV + (5/2)VV + (3次以上の項),
G(x,y,z) = G(X-2, Y+3, Z-1)
= F(X+2Y+3Z, (X-2)^3 + (Y+3)^2 - (Z-1)^2)
= F(X+2Y+3Z, X^3 -6XX +12X +YY +6Y -ZZ +2Z)
= {38X + 22Y + (663/2)XX + 336XY + 87YY}
+ (12+91X+56Y)Z + (29/2)ZZ + (3次以上の項),
ここで G=0 とおくと
Z = {-(12+91X+56Y) + √(144 -20X +68Y -10946XX -9296XY -1910YY)}/29 + (3rd)
= -(19/6)X -(11/6)Y -(13589/864)XX -(5767/432)XY -(2381/864)YY + (3rd)
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