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| Tyler Seguin |
Tuesday, November 10, 2015
Monday, November 9, 2015
Sunday, November 8, 2015
Saturday, November 7, 2015
Multilinear algebra: Concepts
Function
- Bilinear map
Abstract object
- Tensor (intrinsic definition)
Formula
- Cramer's rule
Vector space
- Dual space
Mathematical notation
- Einstein notation
Binary operation
- Exterior product
One-form (A linear real-valued function)
- exterior derivative
A generalization of the dot product
- Inner product
Discrete version of the delta function
- Kronecker delta
A three-index object
- Levi-Civita symbol (Permutation symbol)
A function
- Metric tensor
- Multilinear map
Geometric object
- Mixed tensor
- Symmetric tensor
- Tensor
- Symmetric algebra, Symmetric power
- tensor algebra, free algebra
Operation
- Tensor contraction
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