Usually means: Future independent of the past.
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We found 4 dictionaries that define the word memoryless:

General (3 matching dictionaries)
  1. memoryless: Merriam-Webster
  2. memoryless: Wiktionary
  3. Memoryless: Wikipedia, the Free Encyclopedia

Science (1 matching dictionary)
  1. Memoryless: Eric Weisstein's World of Mathematics

Definitions from Wiktionary (memoryless)

adjective:  (probability theory) Of a probability distribution, such that any derived probability from a set of random samples is distinct and has no information (i.e. "memory") of earlier samples.

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