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Next: $B1i=,LdBj(B Up: $BB?JQ?t$NHyJ,@QJ,3X(B1 $BBh(B6$B2s(B Previous: $BHyJ,$K$D$$$F$N%$%s%H%m(B

$BJPHyJ,(B

$B?t3X$N%F%-%9%H!"9V5A$G$ODj5A$+$i;O$a$k$N$,IaDL$@$,!"(B $B$^$:$O
\begin{jexample}
$B<BDj?t(B $a$, $b$, $c$, $d$, $p$, $q$, $r$\ $B$KBP$7$F!


\begin{jdefinition}[1$BE@$K$*$1$kJPHyJ,78?t(B]
$\Omega$\ $B$O(B $\R^n$\ $B$N3+=89g(B, $f\co...
...x_j}f(a),\quad
f_{x_j}(a)
\end{displaymath}$B$J$I$N5-9f$GI=$9!#(B
\end{jdefinition}

$B%Y%/%H%k5-K!$r;H$o$:$K!"@.J,$rMQ$$$FI=$9$H(B

$\displaystyle \frac{f(a+he_j)-f(a)}{h}
=\frac{f(a_1,\dots,a_{j-1},a_j+h,a_{j+1},\dots,a_n)
-f(a_1,\dots,a_{j-1},a_j,a_{j+1},\dots,a_n)}
{h}
$

$B$G$"$k!#(B

$B5-9f(B $ \rd$ $B$O!"(B $BB?JQ?t4X?t$N(B1$B$D$NJQ?t$K4X$9$kHyJ,(B ($BJPHyJ,(B) $B$G$"$k$3$H$r6/D4$9$k$?$a$N$b$N$G!"(B partial `d', round `d', $B$^$?$OC1$K(B `d' $B$HFI$^$l$k(B (Jacobi $B$K;O$^$k$b$N$@$=$&$G$"$k(B)$B!#(B

$BJPF34X?t!"9b3,HyJ,!"(B$ C^k$ $B5i(B ( $ 0\le k\le\infty$) $B$K$D$$$F=R$Y$k!#(B


\begin{breakitembox}{}
\begin{jdefinition}[$BJPF34X?t!


\begin{jremark}[$C^k$\ $B5i$NDj5A(B]
$B<B$O(B $f$\ $B$,(B $C^k$\ $B5i$G$l$r


\begin{jremark}[$BDj5A0h$,3+=89g$G$l9g$,B?$$!#(B \qed \end{jremark}">


next up previous
Next: $B1i=,LdBj(B Up: $BB?JQ?t$NHyJ,@QJ,3X(B1 $BBh(B6$B2s(B Previous: $BHyJ,$K$D$$$F$N%$%s%H%m(B
Masashi Katsurada
$BJ?@.(B23$BG/(B6$B7n(B2$BF|(B