Lesson plan
Sobol sequence
Sobol' sequences (also called LP τ sequences or (t, s) sequences in base 2) are a type of quasi-random low-discrepancy sequence. They were first introduced by the Russian mathematician Ilya M. Sobol’ (Илья Меерович Соболь) in 1967. These sequences use a base of two to form successively finer uniform partitions of the unit interval and then reorder the coordinates in each dimension.
Article summary
Sobol' sequences (also called LP τ sequences or (t, s) sequences in base 2) are a type of quasi-random low-discrepancy sequence. They were first introduced by the Russian mathematician Ilya M. Sobol’ (Илья Меерович Соболь) in 1967. These sequences use a base of two to form successively finer uniform partitions of the unit interval and then reorder the coordinates in each dimension.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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