The remnant of SN 1006 has an X-ray spectrum dominated by nonthermal emissi
on, and pre-ASCA observations were well described by a synchrotron calculat
ion with electron energies limited by escape. We describe the results of a
much more stringent test : fitting spatially integrated ASCA GIS (0.6-8 keV
) and RXTE PCA (3-10 keV) data with a combination of the synchrotron model
SRESC newly ported to XSPEC and a new thermal shock model VPSHOCK. The new
model can describe the continuum emission above 2 keV well, in both spatial
distribution and spectrum. We find that the emission is dominantly nonther
mal, with a small but noticeable thermal component: Mg and Si are clearly v
isible in the integrated spectrum. The synchrotron component rolls off smoo
thly from the extrapolated radio spectrum, with a characteristic rolloff fr
equency of 3.1 x 10(17) Hz, at which the spectrum has dropped about a facto
r of 6 below a power-law extrapolation from the radio spectrum. Comparison
of TeV observations with new TeV model images and spectra based on the X-ra
y model fits gives a mean postshock magnetic field strength of about 9 muG,
implying (for a compression ratio of 4) an upstream magnetic field of 3 mu
G, and fixing the current energy content in relativistic electrons at about
7 x 10(48) ergs, resulting in a current electron-acceleration efficiency o
f about 5%. This total energy is about 100 times the energy in the magnetic
field. The X-ray fit also implies that electrons escape ahead of the shock
above an energy of about 30 TeV. This escape could result from an absence
of scattering magnetohydrodynamic waves above a wavelength of about 10(17)
cm. Our results indicate that joint thermal and nonthermal fitting, using s
ophisticated models, will be required for analysis of most supernova-remnan
t X-ray data in the future.