The Big Step from Polynumbers to Multinumbers - Math Foundations - N J Wildberger

The Big Step from Polynumbers to Multinumbers - Math Foundations - N J Wildberger

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α1 ≡ [ α0 ]

9 of 16

9 of 16

α1 ≡ [ α0 ]

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The Big Step from Polynumbers to Multinumbers - Math Foundations - N J Wildberger

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

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