The first dedicated search for ultra-high energy (UHE) tau neutrinos of
astrophysical origin was performed using the IceCube detector in its 22-string
configuration. The search also had sensitivity to UHE electron and muon
neutrinos. After application of all selection criteria to approximately 200
live-days of data, we expect a background of 0.60 +/- 0.19 (stat.)
$^{+0.56}_{-0.58}$ (sys.) events and observe three events, which after
inspection emerge as being compatible with background. Therefore, we set an
upper limit on neutrinos of all flavors from UHE astrophysical sources at 90%
CL of $E^{2} Phi(
u_{x}) < 16.2 * 10^-8 GeV cm^-2 sr^-1 s^-1 over an
estimated primary neutrino energy range of 340 TeV to 200 PeV.
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