  The generalized harmonic equations of general relativity are written in 3+1
form. The result is a system of partial differential equations with first order
time and second order space derivatives for the spatial metric, extrinsic
curvature, lapse function and shift vector, plus fields that represent the time
derivatives of the lapse and shift. This allows for a direct comparison between
the generalized harmonic and the Arnowitt-Deser-Misner formulations. The 3+1
generalized harmonic equations are also written in terms of conformal variables
and compared to the Baumgarte-Shapiro-Shibata-Nakamura equations with moving
puncture gauge conditions.
