Math 2.0

concept

Dual basis

Summary

The dual basis of a basis b1,…,bnb_1, \dots, b_n is the family of linear forms f1,…,fnf_1, \dots, f_n with fi(bj)=1f_i(b_j) = 1 when i=ji = j and 00 otherwise.

What this node needs for W2
  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)
  • edge specializes both: the more general notions and the special cases (0 of 1)

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Sources

  1. Web https://en.wikipedia.org/wiki/Dual_basis, Finite-dimensional vector spaces