相对论、量子力学及其场论的，本质、规律，及其必然且必需的发展(37)

2线可变基矢的微分、偏微分：

(接(36))

d[基矢X(xy)]=(d[基矢X(x)])叉乘[基矢X(y)] + [基矢X(x)]叉乘(d[基矢X(y)]) =-[([dl(A,a’)w(Ax’,xa’)[基矢X(x’)])叉乘[基矢X(y)], a’, x’=0到3求和]

-[[基矢X(x)]叉乘([dl(A,a’)w(Ay’,ya’)[基矢X(y’)]), a’, y’=0到3求和]

=-[dl(A,a’)(w(Ax’,xa’)[基矢X(x’y)]

+w(Ay’,ya’)[基矢X(xy’)]),a’,x’,y’=0到3求和]。

d[基矢X(xy)]/dt(X) =-[(dt(A)/dt(X))dl(A,a’)/dt(A)

(w(Ax’,xa’)[基矢X(x’y)]

+w(Ay’,ya’)[基矢X(xy’)]),a’,x’,y’=0到3求和]

=[(dt(A)/dt(X))dl(A,a’)/dt(A)

(w(Ax,x’a’)+w(Ay,y’a’))[基矢X(xy)],a’,x’,y’=0到3求和]。

(偏分l(A,a’)[基矢X(xy)]=[w(Axy,x’y’a’)[基矢X(xy)],a’,x’,y’=0到3求和], xy=01,02,03,23,31,12,

w(Axy,x’y’a’)=w(Ax,x’a’)+w(Ay,y’a’),  a=0,1,2,3,  xy,x’y’=01,02,03,23,31,12,

（未完待续）