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Wolf became director of the Bern Observatory in 1847. In 1855 he accepted a chair of astronomy at both the University of Zürich and the Federal Institute of Technology in Zürich. An observatory was opened at Zürich in 1864, largely due to Wolf's efforts.
Wolf wrote on prime number theory and geometry, then later on probability and statistics - a long paper discussed Buffon's needle experiment. He estimated
by Monte Carlo methods.
Wolf's main contribution, however, was the discovery of the 11 year sunspot cycle and was the codiscoverer of its connection with geomagnetic activity on Earth. In 1849 he devised a system now known as Wolf's sunspot numbers. This system is still in use for studying solar activity by counting sunspots and sunspot groups.
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