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noun 
  1. (nonstandard) A cancellation.
  2. (rfv-sense, apparently means natural.) (music) A mark cancelling a previous sharp or flat.
verb (cancels, cancelling (Commonwealth), canceling (American), cancelled (Commonwealth), canceled (American))
  1. (transitive) To cross out something with lines etc.
  2. (transitive) To invalidate or annul something.
He cancelled his order on their website.
  1. (transitive) To mark something (such as a used postage stamp) so that it can't be reused.
This machine cancels the letters that have a valid zip code.
  1. (transitive) To offset or equalize something.
The corrective feedback mechanism cancels out the noise.
  1. (transitive) (mathematics) To remove a common factor from both the numerator and denominator of a fraction, or from both sides of an equation.
  2. (rfd-redundant) (intransitive) To counterbalance or neutralize each other.
  3. (rfd-redundant) (intransitive) (mathematics) Of a common factor in numerator and denominator of a fraction: To disappear.
(rfc, None of the meanings are limited to transitive or intransitive - the verb is always both/either with no distinction in meaning, only distinction is object referent.)
Etymology: from Latin cancelli a railing or lattice.

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