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Learn to count and analyze rhyme schemes in poetry through a 20-minute mathematics video that explores the relationship between line patterns and partition theory. Delve into Bell numbers, their recurrence relations, and the Bell triangle while working through practical examples of small poems. Master mathematical concepts including sigma notation and recursive formulas, with demonstrations of calculating specific Bell numbers like B4 and B16. Drawing from classical mathematical texts and academic papers, explore combinatorial mathematics as it applies to poetic structures, making complex counting problems more approachable through systematic analysis.
Syllabus
0:00 Intro
1:40 Small Poems
2:52 A Clever Count
6:40 Partitions
9:18 Bell Numbers
11:30 Sigma Notation
12:02 Recursive Formula for Bells
16:43 Finding B4
17:28 Finding B16
Taught by
Wrath of Math