tensor
tensor
olemus
\((p, q) \)-tensor \(T\) vektorruumis \(V\) on vektorruumi \(V^{\otimes p} \otimes \left( V^\ast \right)^{\otimes q} \) element, kus
\(V^\ast\) on kaasruum
\(V^{\otimes p}\) ja \(\left( V^\ast \right)^{\otimes q} \) on tensorastmed
Wiktionary:
2. (mathematics, linear algebra, physics) a mathematical object that describes linear relations on scalars, vectors, matrices and other algebraic objects, and is represented as a multidimensional array
ülevaateid
https://en.wikipedia.org/wiki/Tensor
https://icerm.brown.edu/materials/Slides/sp-s20/Tutorial_-Introductory_Talk_-_Introduction_to_Tensor_Decompositions_for_Dimensionality_Reduction_]___Misha_Kilmer,_Tufts_University.pdf
https://icerm.brown.edu/materials/Slides/tw-14-3/A_brief_survey_on_tensor_rank_and_tensor_decomposition,_from_a_geometric_perspective._Part_I_]_Giorgio_Ottaviani,_Universit%C3%A0_di_Firenze.pdf
https://www.cs.umd.edu/class/fall2018/cmsc498V/slides/TensorBasics.pdf
http://www.ita.uni-heidelberg.de/~dullemond/lectures/tensor/tensor.pdf
https://www.ese.wustl.edu/~nehorai/Porat_A_Gentle_Introduction_to_Tensors_2014.pdf
http://math.haifa.ac.il/ROVENSKI/rovenski/S_TC.pdf
vt ka
- tensoraste
- tensorkorrutis