OAI/Combinatorics/SparsestCut/ChartLinear.lean

GitHub source file

19 declarations, 0 contain sorry, 0 declared as axioms

  1. lemma OAI.UniformSparsestCut.ChartLinear.gram_injective line 17
  2. def OAI.UniformSparsestCut.ChartLinear.gramEquiv line 29
  3. def OAI.UniformSparsestCut.ChartLinear.pseudoInverse line 36
  4. lemma OAI.UniformSparsestCut.ChartLinear.pseudoInverse_comp line 40
  5. lemma OAI.UniformSparsestCut.ChartLinear.gramInverse_norm line 45
  6. lemma OAI.UniformSparsestCut.ChartLinear.pseudoInverse_equation line 61
  7. lemma OAI.UniformSparsestCut.ChartLinear.residual_orthogonal line 66
  8. lemma OAI.UniformSparsestCut.ChartLinear.residual_pythagoras line 72
  9. lemma OAI.UniformSparsestCut.ChartLinear.pseudoInverse_norm line 79
  10. lemma OAI.UniformSparsestCut.ChartLinear.residual_norm line 89
  11. lemma OAI.UniformSparsestCut.ChartLinear.pseudoInverse_column line 96
  12. def OAI.UniformSparsestCut.FrameCharts.chart line 109
  13. lemma OAI.UniformSparsestCut.FrameCharts.chart_apply line 113
  14. lemma OAI.UniformSparsestCut.FrameCharts.chart_energy line 116
  15. lemma OAI.UniformSparsestCut.FrameCharts.chart_adjoint_single line 121
  16. lemma OAI.UniformSparsestCut.FrameCharts.extend_covariance line 130
  17. lemma OAI.UniformSparsestCut.FrameCharts.normalized_energy line 163
  18. lemma OAI.UniformSparsestCut.FrameCharts.normalized_bounds line 170
  19. lemma OAI.UniformSparsestCut.FrameCharts.normalized_norms line 188