continuously in WordNet English dictionary

1. with unflagging resolve
   "dance inspires him ceaselessly to strive higher and higher toward the shining pinnacle of perfection that is the goal of every artiste"
   endlessly  ceaselessly  incessantly  unceasingly  unendingly  continuously  endlessly  ceaselessly  incessantly  unceasingly  unendingly  continuously 
   
2. at every point
   "The function is continuously differentiable"
   continuously  continuously