Abstract
X-ray emission has been detected from the binary millisecond pulsar system PSR1957+20 using the Rosat satellite. The observations show that less than 20 percent of the pulsars's spindown luminosity can be carried away by electrons and positrons with Lorentz factor gamma about 10 exp 5, and less than 5 percent by electrons and positrons with gamma about 10 exp 8. Neither of these fluxes can provide the penetrating flux required to heat the companion's photosphere. These observations and those by Fruchter et al. (1992) represent the first direct diagnostics of the relativistic wind from a weakly magnetized pulsar and suggest that the wind differs substantially from that of the more highly magnetized Crab pulsar.