Chapter 4. eq. 4.28- 4.30
u = u0 + (x - x0)(du/dx) + (y - y0)(du/dy) + (z - z0)(du/dz)
v= ...
w = ...
Then with out any significance explanation these equation take a form of
eq 4.31 - 4.33
u = u0 + 1/2 [(x - x0)(du/dx - du/dx ) + (y - y0)(du/dydx - dv/dx) + (z - z0)(du/dz - dw/dx)] ......
v= ...
w = ...
what does this 1/2 in second set of equation means ?
Thank you.
u = u0 + (x - x0)(du/dx) + (y - y0)(du/dy) + (z - z0)(du/dz)
v= ...
w = ...
Then with out any significance explanation these equation take a form of
eq 4.31 - 4.33
u = u0 + 1/2 [(x - x0)(du/dx - du/dx ) + (y - y0)(du/dydx - dv/dx) + (z - z0)(du/dz - dw/dx)] ......
v= ...
w = ...
what does this 1/2 in second set of equation means ?
Thank you.