to follow up

From The Collaborative International Dictionary of English v.0.48:

Follow \Fol"low\, v. t. [imp. & p. p. Followed; p. pr. & vb.
   n. Following.][OE. foluwen, folwen, folgen, AS. folgian,
   fylgean, fylgan; akin to D. volgen, OHG. folg[=e]n, G.
   folgen, Icel. fylgja, Sw. f["o]lja, Dan. f["o]lge, and perh.
   to E. folk.]
   1. To go or come after; to move behind in the same path or
      direction; hence, to go with (a leader, guide, etc.); to
      accompany; to attend.
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            It waves me forth again; I'll follow it. --Shak.
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   2. To endeavor to overtake; to go in pursuit of; to chase; to
      pursue; to prosecute.
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            I will harden the hearts of the Egyptians, and they
            shall follow them.                    --Ex. xiv. 17.
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   3. To accept as authority; to adopt the opinions of; to obey;
      to yield to; to take as a rule of action; as, to follow
      good advice.
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            Approve the best, and follow what I approve.
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            Follow peace with all men.            --Heb. xii.
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            It is most agreeable to some men to follow their
            reason; and to others to follow their appetites.
                                                  --J. Edwards.
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   4. To copy after; to take as an example.
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            We had rather follow the perfections of them whom we
            like not, than in defects resemble them whom we
            love.                                 --Hooker.
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   5. To succeed in order of time, rank, or office.
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   6. To result from, as an effect from a cause, or an inference
      from a premise.
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   7. To watch, as a receding object; to keep the eyes fixed
      upon while in motion; to keep the mind upon while in
      progress, as a speech, musical performance, etc.; also, to
      keep up with; to understand the meaning, connection, or
      force of, as of a course of thought or argument.
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            He followed with his eyes the flitting shade.
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   8. To walk in, as a road or course; to attend upon closely,
      as a profession or calling.
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            O, had I but followed the arts!       --Shak.
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            O Antony! I have followed thee to this. --Shak.
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   Follow board (Founding), a board on which the pattern and
      the flask lie while the sand is rammed into the flask.

   To follow the hounds, to hunt with dogs.

   To follow suit (Card Playing), to play a card of the same
      suit as the leading card; hence, colloquially, to follow
      an example set.

   To follow up, to pursue indefatigably.

   Syn: Syn.- To pursue; chase; go after; attend; accompany;
        succeed; imitate; copy; embrace; maintain.

   Usage: - To Follow, Pursue. To follow (v.t.) denotes
          simply to go after; to pursue denotes to follow with
          earnestness, and with a view to attain some definite
          object; as, a hound pursues the deer. So a person
          follows a companion whom he wishes to overtake on a
          journey; the officers of justice pursue a felon who
          has escaped from prison.
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