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Everything about Dual basis

Linear algebra concept

In linear algebra, given a vector space with a basis of vectors indexed by an index set, the dual set of is a set of vectors in the dual space with the same index set such that and form a biorthogonal system. The dual set is always linearly independent but does not necessarily span. If it does span, then is called the dual basis or reciprocal basis for the basis. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Dual basisA 5-minute orientation
  2. Skim a recent paper: Genetic basis and dual adaptive role of floral pigmentation in sunflowersInfluential work since 2022
  3. Pick up a classic book: Neural Information ProcessingThe most-reprinted book on the subject
  4. Read the landmark paper: Molecular Basis of the Dual Functions of 2B4 (CD244)Cited 128 times
  5. Go sideways: DyadicsA closely related topic
  6. Go sideways: Orthonormal basisA closely related topic

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