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Geologists have figured out just when the pole reversals occurred.
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Halley began to work out the orbits of various comets.
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Then the derivatives of the other functions are worked out (or calculated, or found, or deduced).
Русско-английский научно-технический словарь переводчика. Михаил Циммерман, Клавдия Веденеева. 2003.