• Webster's Revised Unabridged Dictionary
    • v. t Downweigh To weigh or press down. "A different sin downweighs them to the bottom."
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Century Dictionary and Cyclopedia
    • downweigh To weigh or press down; depress; cause to sink or prevent from rising.
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In science:

We incorporated this constraint by downweighing the low-mass/great-distance inspirals according to their lower detection probability.
Bayesian inference on compact binary inspiral gravitational radiation signals in interferometric data