20121127041

Twierdzenie E. Noether - UOGÓLNIENIE

.v(*)    .!■') - i ,v(.v) + £ • 7(.V,    /) (I )

jr Jf - x i- e • *(.v, y. y'\ (2)

v(.v) v[.v t: £(x. v’, r’)) + ff • rf(x, v, y)

=>

- v(x)+ep(x,y,y'}, (4)

~ *(i, v\ v')~ i§|.r, v,y)

Jish f/‘[jr, v(.v\ y’(x$& = J F[x,y(x)+ep(x,y,y\y'(x)+£p{x_ty\y'%Ix

x_t+£ ę(x, y,y'\ =x_A+S/,x_B =

= A%, + S

B

/w=j = / = j + j =i -1 + i =

H