Lines missing every random point

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Abstract

We prove that there is, in every direction in Euclidean space, a line that misses every computably random point. We also prove that there exist, in every direction in Euclidean space, arbitrarily long line segments missing every double exponential time random point. © 2014 Springer International Publishing.

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Lutz, J. H., & Lutz, N. (2014). Lines missing every random point. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8493 LNCS, pp. 283–292). Springer Verlag. https://doi.org/10.1007/978-3-319-08019-2_29

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