061350/Class Notes for Thursday November 16
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Today's Agenda
Formulas are a Chore (Bore?)
 Sweeping clean a tree and .
 is a VSalgebra (see more at VS, TS and TG Algebras).
 In the coordinates above, write the relations in various algebraic notations.
 R4: or .
 R3: or .
 R2: or .
 R1: .
 But for now, skip the writing of the following relations:
 Symmetry of and of .
 , and
 Idempotence for , , and .
 in terms of and and in terms of .
Exponentiation is a Miracle
 Description of the problem.
 Beads and strands.
 The perturbative approach, linearization.
 The syzygies: relations between the errors.
 The Hochschild complex and homology.