Successor data commutator

We define the successor data commutator (SDC)

[m,n] = mn’ – m’n = m(n+1) – (m+1)n = m-n

These successor and data operator commutator are 2 different approaches. The operator commutator is applied to some test data on the right. For successor it is applies to a number. For the derivative, it is applied to a function.

The data commutator is not applied to test data.

Project: Evaluate [m,[n,p]]. What identities can you find for this? Are their cyclic identities? Jacobi identity?

Project: Discuss which is more useful, the successor data or operator commutator.

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About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
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