where [c.sub.3] is a constant of integration
. Substituting (49) and (52) into (53), we yield the following system:
Here [C.sub.5] is constant of integration
and [chi] is a dummy variable of integration.
The friction velocity, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] can then be calculated (according to Clauser ), and the constant of integration, [B.sub.tr], by trial and error.
The summary of the calculated friction velocity, the constant of integration, and the wake strength is presented in Table 2.
As a result, we have simply f ([xi]) = [xi] K1 ([xi]) up to a possible constant of integration
where the constant of integration
is equal to zero.
Using the initial condition that y(0) = 1 , gives C = 2 for the constant of integration
. This leads to the particular solution indicated by a subscript p:
Setting the Poisson equation aside for the moment, it is also known that one of the interpretations of A or A in Riemannian geometry is as a four dimensional constant of integration
, through what is referred to as Unimodular Gravity .