The Compromise of 1877 was a purported informal, unwritten deal that settled the intensely disputed 1876 U.S. presidential election. It resulted in the United States federal government pulling the last troops out of the South, and formally ended the Reconstruction Era.
During the Hellenistic Age, Archimedes made advancements in "mathematics"--specifically in the realm of geometry, since he developed innovative ways to calculate volume, area, etc.
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The conflict, fought between June and October 1877, stemmed from the refusal of several bands of the Nez Perce, dubbed "non-treaty Indians," to give up their ancestral lands in the Pacific Northwest and move to an Indian reservation in Idaho.
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The Mongol invasions of Japan (元寇 Genkō), which took place in 1274 and 1281, were major military efforts undertaken by Kublai Khan to conquer the Japanese archipelago after the submission of Goryeo (Korea) to vassaldom. Ultimately a failure, the invasion attempts are of macro-historical importance because they set a limit on Mongol expansion and rank as nation-defining events in the history of Japan.