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A Writer's Dictionary:

at variance with something Definition


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variance
noun
    1. The state of being different or inconsistent.
      Example: There was some variance between them
      Thesaurus: inconsistency, divergence, deviation, change, difference, modification, incongruity, oscillation; Antonym: agreement, sameness, unity.
    2. statistics.
      A quantity equal to the square of the standard deviation.
Idiom: at variance with something
    In disagreement or conflict with it.
Etymology: 14c: from Latin varientia difference, related to vary.



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