On partial randomness. Calude, C. S., Staiger, L., & Terwijn, S. A. Annals of Pure and Applied Logic, 138(1--3):20--30, 2006.
On partial randomness [link]Paper  bibtex   
@article{CaStTe06,
  tag = "ccd",
  author = "C. S. Calude and L. Staiger and S. A. Terwijn",
  title = "On partial randomness",
  journal = "Annals of Pure and Applied Logic",
  volume = 138,
  number = "1--3",
  year = 2006,
  pages = "20--30",
  pdf = "http://www.cs.auckland.ac.nz/CDMTCS//researchreports/239cris.pdf",
  url = "http://dx.doi.org/10.1016/j.apal.2005.06.004"
}
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