The Collaborative International Dictionary of English v.0.48:
Continuously \Con*tin"u*ous*ly\, adv. In a continuous maner; without interruption. -- Con*tin"u*ous*ness, n. [1913 Webster]WordNet (r) 3.0 (2006):
continuousness n 1: the quality of something that continues without end or interruption [syn: continuousness, ceaselessness, incessancy, incessantness]