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Operations on pure msets
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The Big Step from Polynumbers to Multinumbers - Math Foundations - N J Wildberger
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- 1 introduction
- 2 Pure msets are formed with only [ ]
- 3 Basic principle: pure msets can be described completely, unambiguously
- 4 Operations on pure msets
- 5 Addition: dump the contents of added msets into a new mset
- 6 Multiplication: add distributed combinations of the contents of msets
- 7 Modifying polynumber terminology / notation
- 8 α0 ≡ [ 1 ]
- 9 α1 ≡ [ α0 ]
- 10 α1 is the first multinumber that is not a polynumber
- 11 Basic arithmetic with polynumbers
- 12 But there are more multinumbers!
- 13 More arithmetic examples
- 14 Algebra in variables - α0, α1, α2, ... - extend Poly to Bi Poly
- 15 creating a tight framework for Algebra
- 16 Next: on a strange vessel on uncharted waters?
