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Annotation of OpenXM/src/asir-contrib/packages/doc/plucker.oxweave, Revision 1.1

1.1     ! takayama    1: @c $OpenXM$
        !             2:
        !             3: /*&ja
        !             4: @node Plucker relations,,, Top
        !             5: @chapter Plucker $B4X78<0(B($BI8=`?t3XH!?t(B)
        !             6:
        !             7: */
        !             8:
        !             9: /*&en
        !            10: @node Plucker relations,,, Top
        !            11: @chapter Plucker Relations (Standard Mathematical Functions)
        !            12:
        !            13: */
        !            14:
        !            15: /*&C
        !            16: @menu
        !            17: * plucker::
        !            18: * plucker_y::
        !            19: @end menu
        !            20: */
        !            21:
        !            22: /*&ja
        !            23: @node plucker,,, Plucker relations
        !            24: @subsection plucker
        !            25: @findex plucker
        !            26: @tex
        !            27: $(m+1) \times n$ $B9TNs$r9M$($k(B.
        !            28: $i_1, \ldots, i_m, j_k$ $BNs$r$J$i$Y$F$D$/$C$?@5J}9TNs<0$r(B
        !            29: $p_{i_1 \cdots i_m j_k}$ $B$H=q$/$H$-(B,
        !            30: Pl\"ucker $B$N4X78<0$O(B
        !            31: $$ \sum_{k=0}^{m+1} (-1)^k
        !            32:   p_{i_1 \cdots i_m j_k}
        !            33:   p_{j_0 \cdots {\hat j}_k \cdots j_{m+1}} = 0$$
        !            34: $B$H=q$1$k(B.
        !            35: $B$3$N%Q%C%1!<%8$G$O(B, $B$3$N(B Pl\"ucker $B$N4X78<0$r07$&$?$a$N(B
        !            36: $B4X?t$rDs6!$9$k(B.
        !            37: @end tex
        !            38: */
        !            39:
        !            40:
        !            41: /*&en
        !            42:
        !            43: Not yet written
        !            44:
        !            45: */
        !            46:
        !            47: /*&ja
        !            48: @node plucker_y,,, Plucker relation
        !            49: @subsection @code{plucker_y}
        !            50: @findex plucker_y
        !            51: @table @t
        !            52: @item plucker_y(@var{L})
        !            53: ::  Index $B=89g(B @var{L} $B$KBP1~$9$kJQ?t$rLa$9(B.
        !            54: @end table
        !            55: @table @var
        !            56: @item return
        !            57: $BJQ?t(B
        !            58: @item L
        !            59: $B%j%9%H(B
        !            60: @end table
        !            61: @itemize @bullet
        !            62: @item  Index $B=89g(B @var{L} $B$O>.$5$$=g$K%=!<%H$5$l$k(B.
        !            63: $B$3$N$H$-Id9f$b$H$b$K7W;;$5$l$k(B.
        !            64: @end itemize
        !            65: @example
        !            66: [297] plucker_y([1,2,3]);
        !            67: y_1_2_3
        !            68:
        !            69: [298] plucker_y([2,1,3]);
        !            70: -y_1_2_3
        !            71:
        !            72: @end example
        !            73: */