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Searches for astronomical neutrino sources and weakly interactive massive particles (WIMPs) using the Super-Kamiokande detector have been performed. We select the neutrino-induced upward muon events for the first 4 years, which is already the world largest data sample, and look for statistically significant excesses compared to the atmospheric neutrino background. No excess has been found so far. Limits of upward muon flux from various potential sources are obtained. Also limits of upward muon flux due to annihilations of WIMPs in the Earth core, the Sun and the Galactic center are obtained as a function of WIMP masses.

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