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The Collaborative International Dictionary
To revert a series

Revert \Re*vert"\, v. t. [imp. & p. p. Reverted; p. pr. & vb. n. Reverting.] [L. revertere, reversum; pref. re- re- + vertere to turn: cf. OF. revertir. See Verse, and cf. Reverse.]

  1. To turn back, or to the contrary; to reverse.

    Till happy chance revert the cruel scence.
    --Prior.

    The tumbling stream . . . Reverted, plays in undulating flow.
    --Thomson.

  2. To throw back; to reflect; to reverberate.

  3. (Chem.) To change back. See Revert, v. i.

    To revert a series (Alg.), to treat a series, as y = a + bx + cx^ 2 + etc., where one variable y is expressed in powers of a second variable x, so as to find therefrom the second variable x, expressed in a series arranged in powers of y.