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had derived

  • past perfect
    of derive.
    derive
    verb (used with object)
    to receive or obtain from a source or origin (usually followed byfrom ).

Example Sentences

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The arguments for black hole entropy were indirect, however, and no one had derived the famous equation from the fundamental definition of entropy—at least not for realistic black holes.

From Science Magazine Mar. 28, 2024

It meant Jacob remained in "limbo" after being rejected from four educational settings due to his "perceived behaviours and risks to other students", which had derived from his previous exclusion.

From BBC Feb. 6, 2021

In exchange, Sealaska, which had derived a big chunk of its revenue from timber sales during the last 40 years, committed to reducing harvesting on 165,000 acres of Southeast Alaska forests for the next century.

From Seattle Times Jun. 7, 2020

He had derived enough WI-38 cells to serve vaccine makers into the distant future and worked as hard as was humanly possible to win acceptance of the cells for vaccine making.

From The Guardian Feb. 2, 2017

Fortunately this mindfulness accorded with her nature: it brought her the same depth of pleasure Carl had derived from nurturing his strawberries.

From "Snow Falling on Cedars: A Novel" by David Guterson