Lesson plan
Normal sequence
In mathematics, the term normal sequence has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties. * In set theory, a normal sequence is one that is continuous and strictly increasing. * In probability theory, a normal number is a number whose representation is a normal sequence in all bases, i.e. regardless of which base is chosen (e.g. base 2, base 8, base 10, etc.) the sequence of digits contains every finite subsequence with equal probability.
Article summary
In mathematics, the term normal sequence has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties. * In set theory, a normal sequence is one that is continuous and strictly increasing. * In probability theory, a normal number is a number whose representation is a normal sequence in all bases, i.e. regardless of which base is chosen (e.g. base 2, base 8, base 10, etc.) the sequence of digits contains every finite subsequence with equal probability.
Key claims
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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?
Bibliography
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.