The Collaborative International Dictionary of English v.0.48:

Assign \As*sign"\, v. t. [imp. & p. p. Assigned; p. pr. & vb.
   n. Assigning.] [OE. assignen, asignen, F. assigner, fr. L.
   assignare; ad + signare to mark, mark out, designate, signum
   mark, sign. See Sign.]
   1. To appoint; to allot; to apportion; to make over.
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            In the order I assign to them.        --Loudon.
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            The man who could feel thus was worthy of a better
            station than that in which his lot had been
            assigned.                             --Southey.
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            He assigned to his men their several posts.
                                                  --Prescott.
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   2. To fix, specify, select, or designate; to point out
      authoritatively or exactly; as, to assign a limit; to
      assign counsel for a prisoner; to assign a day for trial.
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            All as the dwarf the way to her assigned. --Spenser.
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            It is not easy to assign a period more eventful.
                                                  --De Quincey.
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   3. (Law) To transfer, or make over to another, esp. to
      transfer to, and vest in, certain persons, called
      assignees, for the benefit of creditors.
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   To assign dower, to set out by metes and bounds the widow's
      share or portion in an estate. --Kent.
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The Collaborative International Dictionary of English v.0.48:

Assign \As*sign"\, v. i. (Law)
   To transfer or pass over property to another, whether for the
   benefit of the assignee or of the assignor's creditors, or in
   furtherance of some trust.
   [Webster 1913 Suppl.]

The Collaborative International Dictionary of English v.0.48:

Assign \As*sign"\, n. [From Assign, v.]
   A thing pertaining or belonging to something else; an
   appurtenance. [Obs.]
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         Six French rapiers and poniards, with their assigns, as
         girdles, hangers, and so.                --Shak.
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The Collaborative International Dictionary of English v.0.48:

Assign \As*sign"\, n. [See Assignee.] (Law)
   A person to whom property or an interest is transferred; as,
   a deed to a man and his heirs and assigns.
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WordNet (r) 3.0 (2006):

assign
    v 1: give an assignment to (a person) to a post, or assign a
         task to (a person) [syn: delegate, designate, depute,
         assign]
    2: give out; "We were assigned new uniforms" [syn: assign,
       allot, portion]
    3: attribute or credit to; "We attributed this quotation to
       Shakespeare"; "People impute great cleverness to cats" [syn:
       impute, ascribe, assign, attribute]
    4: select something or someone for a specific purpose; "The
       teacher assigned him to lead his classmates in the exercise"
       [syn: assign, specify, set apart]
    5: attribute or give; "She put too much emphasis on her the last
       statement"; "He put all his efforts into this job"; "The
       teacher put an interesting twist to the interpretation of the
       story" [syn: put, assign]
    6: make undue claims to having [syn: arrogate, assign]
    7: transfer one's right to
    8: decide as to where something belongs in a scheme; "The
       biologist assigned the mushroom to the proper class" [syn:
       assign, attribute]