OAI/NumberTheory/DukePrimeDegree/Dynamics/ShearingCoefficientBounds.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Uniform bounds on the selected shearing interval

The logarithmic scale controls every coefficient of the quadratic conjugation formula. A bound on |t| * κ therefore gives a uniform matrix-displacement bound on the whole symmetric interval.

  1. lemma OAI.DukePrimeDegree.rootShearingKappa_diagonal_bound line 21
  2. lemma OAI.DukePrimeDegree.rootShearingKappa_quadratic_bound line 24
  3. lemma OAI.DukePrimeDegree.rootShearingKappa_offDiagonal_bound line 31
  4. lemma OAI.DukePrimeDegree.rootShearingKappa_row_bound line 35
  5. lemma OAI.DukePrimeDegree.rootShearingKappa_col_bound line 45
  6. lemma OAI.DukePrimeDegree.rootShearingKappa_linear_bound line 55
  7. theorem OAI.DukePrimeDegree.rootShear_entry_bound_of_scale line 73
  8. theorem OAI.DukePrimeDegree.rootShearSize_bound_of_scale line 106