fundamental sequence

noun Mathematics.

an infinite sequence, x1, x2, …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn  = y if and only if for every ε>0, there exists a number N such that i >N and j >N implies |xi  −xj |< ε.Also called Cauchy sequence, convergent sequence.Compare complete(def 10b).

Nearby words

  1. fundamental force,
  2. fundamental frequency,
  3. fundamental interaction,
  4. fundamental law,
  5. fundamental particle,
  6. fundamental star,
  7. fundamentalism,
  8. fundamentalist,
  9. fundamentally,
  10. fundamentals Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019