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Technical Notes

Technical Notes

Feb 02, 2026

  • 001 ; ODEs ; Picard Iteration & Cauchy-Lipschitz
  • 002 ; ODEs ; Maximal Interval of Existence
  • 003 ; DSA ; Overlap Detection with Sweep Line Algorithm
  • 004 ; DSA ; Linear-time RBT Construction from Sorted List
  • 005 ; DSA ; Upper Bounds on Red Nodes in a Red-Black tree
  • 006 ; LinAlg ; Non-invertibility of 2x2 Matrix Pencils
  • 007 ; DSA ; Non-lazy Deletion in Tournament Trees.
  • 008 ; LinAlg ; Diagonalizability of the Transpose Map across Field Characteristics
  • 009 ; LinAlg ; Invariance of Characteristic Polynomials Under Conjugation.
  • 010 ; LinAlg ; Eigenvalues of Polynomials
  • 011 ; LinAlg ; Invariance of Eigenspaces Under Transposition
  • 012 ; Analysis ; Fixed Points on Compact Spaces
  • 013 ; Analysis ; Geometric Series with Matrix Norm
  • 014 ; Analysis ; Cauchy Sequences and Functions on the Closure
  • 015 ; LinAlg ; Invertibility of the Linear Functionals of a Dual Basis.
  • 016 ; LinAlg ; Diagonalizability of Reflection
  • 017 ; ODEs ; Homogenous First-Order Linear Systems
  • 018 ; ODEs ; Homogenous Defective First-order Linear System
  • 019 ; ODEs ; Solving Non-exact Differential Equations
  • 020 ; ODEs ; Solving First-order Linear Equations