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continuous 
  adj 
1 prolonged without interruption; unceasing 
a continuous noise  
2 in an unbroken series or pattern 
3  (Maths) (of a function or curve) changing gradually in value as the variable changes in value. At any value x = a of the continuous function f(x), limx<arrow>a f(x) = f(a). At every value a of the independent variable, the difference between f(x) and f(a) approaches zero as x approaches a when f is a continuous function 
 Compare  →  discontinuous  →  2 
 
See also  →  limit  →  5 
4  (Statistics) (of a variable) having a continuum of possible values so that its distribution requires integration rather than summation to determine its cumulative probability 
 Compare  →  discrete  →  3 
5  (Grammar)  another word for  →  progressive  →  8 
  (C17: from Latin continuus, from continere to hold together, contain) 
♦  continuously  adv 
♦  continuousness  n 
Both continual and continuous can be used to say that something continues without interruption, but only continual can correctly be used to say that something keeps happening repeatedly 



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