Slide 18
Slide 18 text
ଟม͔ΒͳΔؔͷඍͷه๏
Λඇෛͷͱ͢Δɻଟॏࢦ ʹ͍ͭͯ࣍ͷΑ͏ʹఆΊΔɻ
k1
, …, kd
k = (k1
, …, kd
)
|k| = k1
+ k2
+ ⋯ + kd
, k! = (k1
)!(k2
)!⋯(kd
)!
ͷ ΛؚΉ։ू߹্Ͱఆٛ͞Εͨ
ճ࿈ଓඍՄೳͳؔ ʹ͍ͭͯ ͷͱ͖
ℝd w = w0
(r + 1) g(w) |k| ≤ r + 1
∂kg
∂wk
(w) = (
d
∏
j=1
∂kj
∂wkj
j
)g(w),
ͱఆٛ͢Δɻ
͜ΕΒଟมͷؔͷඍʹ͓͍ͯҰൠతʹར༻͞ΕΔه๏Ͱ͋Δɻ
(w − w0
)k =
d
∏
j=1
(wj
− (w0
)j
)kj