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quadratically

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They detected and magnetically controlled a non-Ohmic conduction termed the second-order Hall effect, where voltage responds orthogonally and quadratically to the applied electric current.

From Science Daily Apr. 23, 2024

It is the smallest known pattern that, once launched, grows quadratically to cover the grid of a stable live cell population of density 1/2.

From Scientific American Apr. 28, 2021

To our knowledge, there is no way to explain why the hybrid genetic background is “sensitized” at a rate that increases quadratically with divergence time unless one invokes negative epistatic interactions in hybrids.

From Science Magazine Sep. 15, 2011