?? configuration variables x,y ... ?? vanilla riemannian structure here ... "conservative force field" ... ???? .....

?? hmmm, for 1 variable _any_ force field seems conservative ??? .... ????? .... hmmmm .... ????? ..... ???? "self-interaction" ???? .... ????? ....

f(x,y) ....

f_x(x,y) ... ??? ....

f_y(x,y) ...

x'' = g(x,y)

y'' = h(x,y)

g_y(x,y) = h_x(x,y) ???? ....

?? "momentum-conservativeness" .... ??? .... "equal and opposite reaction" ... ???? .... ?? connection ... ??? flatness ??? .... ???? ..... ???? ...... ?? level slip ??? ... ???? .....

?? x'' = y

?? y'' = x ??? .....


x'' = y^2

y'' = 2xy ??? .....

?? "work done by ... on ..." .... ???? ....

?? wait a minute ... ??? .... ?? "h1' = -w12' * p1" .... ??? .... idea of "velocity-dependent force" here ??? ... ?? following philosophy of "h1 already being an energy ..." ... ??? .... .... ??? .... ?? "magnetism" ??? .... ????? .....