The Collaborative International Dictionary of English v.0.48:

Discontinuous \Dis`con*tin"u*ous\, a.
   1. Not continuous; interrupted; broken off.
      [1913 Webster]

            A path that is zigzag, discontinuous, and
            intersected at every turn by human negligence. --De
                                                  Quincey.
      [1913 Webster]

   2. Exhibiting a dissolution of continuity; gaping.
      "Discontinuous wound." --Milton.
      [1913 Webster]

   Discontinuous function (Math.), a function which for
      certain values or between certain values of the variable
      does not vary continuously as the variable increases. The
      discontinuity may, for example, consist of an abrupt
      change in the value of the function, or an abrupt change
      in its law of variation, or the function may become
      imaginary.
      [1913 Webster]

WordNet (r) 3.0 (2006):

discontinuous
    adj 1: of a function or curve; possessing one or more
           discontinuities [ant: continuous]
    2: not continuing without interruption in time or space;
       "discontinuous applause"; "the landscape was a discontinuous
       mosaic of fields and forest areas"; "he received a somewhat
       haphazard and discontinuous schooling" [syn: discontinuous,
       noncontinuous] [ant: continuous, uninterrupted]

Moby Thesaurus II by Grady Ward, 1.0:

139 Moby Thesaurus words for "discontinuous":
   aimless, aloof, amorphous, apart, asunder, bipartite, broken,
   broken off, capricious, careening, casual, catchy, chopped-off,
   choppy, decousu, desultory, detached, deviative, dichotomous,
   disarticulated, disconnected, discontinued, discrete, disjointed,
   disjunct, disjunctive, disordered, dispersed, disproportionate,
   distinct, divergent, eccentric, episodic, erratic, fitful,
   flickering, fluctuating, formless, frivolous, gapped, gratuitous,
   guttering, halting, haphazard, herky-jerky, heteroclite,
   hit-or-miss, immethodical, in two, inchoate, incoherent,
   inconsistent, inconstant, indiscriminate, insular, intermittent,
   intermitting, interrupted, irregular, jagged, jerky, lurching,
   meaningless, misshapen, muddled, nonadherent, nonadhesive,
   noncoherent, noncohesive, noncontinuous, nonlinear, nonsequential,
   nonserial, nonsymmetrical, nonsystematic, nonuniform, open,
   orderless, parenthetic, partitioned, patchy, planless, promiscuous,
   rambling, random, rough, scrappy, senseless, separate, shapeless,
   snatchy, spasmatic, spasmic, spasmodic, spastic, sporadic, spotty,
   staggering, straggling, straggly, suspended, systemless, tenuous,
   unadhesive, unarranged, unassociated, unattached, unattended,
   uncertain, unclassified, uncoherent, uncohesive, unconnected,
   undirected, unequal, uneven, ungraded, unjoined, unmethodical,
   unmetrical, unordered, unorganized, unregular, unrhythmical,
   unsettled, unsorted, unsteady, unsuccessive, unsymmetrical,
   unsystematic, untenacious, ununiform, vague, variable, veering,
   wandering, wavering, wobbling, wobbly