Tensor Calculus 24: Ricci Tensor Geometric Meaning (Sectional Curvature)

Tensor Calculus 24: Ricci Tensor Geometric Meaning (Sectional Curvature)

If you like my videos, you can feel free to tip me at https://www.ko-fi.com/eigenchris Previous videos on Riemann Curvature Tensor: Video 22: https://www.youtube.com/watch?v=-Il2FrmJtcQ Video 23: https://www.youtube.com/watch?v=optrC-0HhMI Next video on Ricci Tensor Geometrical Meaning: https://youtu.be/mzjhSYLHMdc

VIDEO XIV – VECTOR AND TENSOR – GRADIENT IN CARTESIAN  TENSOR NOTATION

VIDEO XIV – VECTOR AND TENSOR – GRADIENT IN CARTESIAN TENSOR NOTATION

This video displays the cartesian coordinates notation for the gradient of a scalar and a vector functions. It is shown that the gradient of a vector is a second order tensor and can be represented as a matrix. It is emphasized that the gradient of “n” order tensor yields an “n+1” order tensor.

RecSys 2016: Tutorial on  Matrix and Tensor Decomposition

RecSys 2016: Tutorial on Matrix and Tensor Decomposition

Panagiotis Symeonidis https://doi.org/10.1145/2959100.2959195 This tutorial offers a rich blend of theory and practice regarding dimensionality reduction methods, to address the information overload problem in recommender systems. This problem affects our everyday experience while searching for knowledge on a topic. Naive Collaborative Filtering cannot deal with challenging issues such as scalability, noise, and sparsity. We can…

Tensor 0-indis notasyonu

Tensor 0-indis notasyonu

Mrb arkadaşlar , Bu videoyla tensör konusuna başlıyoruz.Tensör kavramı daha çok çoklu sayı grupları ile işlem yapma ihtiyacından doğduğu için ilk videolarda tensör analizinde sık kullandığımız işaret,işlemci, operatör ve notasyonları anlatmaya çalışacağız.Notasyon konusunu iyi anlarsanız bundan sonraki hayatınızda karşılaşabileceğiniz hemen hemen bütün geçmiş ve güncel, matematik fizik kimya vb alanlarda karşılaşacağınız bütün formüllerin,teorilerin,hesaplamaların tensörel ifadelerini…

Tensor Calculus 5b: Invariants Are Tensors

Tensor Calculus 5b: Invariants Are Tensors

This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell’s classic: http://bit.ly/MCTensors Table of Contents of http://bit.ly/ITCYTNew Rules of the Game Coordinate Systems and the Role of Tensor Calculus Change of Coordinates The Tensor Description of Euclidean Spaces The Tensor Property Elements of Linear Algebra in Tensor Notation Covariant Differentiation Determinants…