Tensors

Four-tensor

In physics, specifically for special relativity and general relativity, a four-tensor is an abbreviation for a tensor in a four-dimensional spacetime. (Wikipedia).

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What is a Four-Vector? Is a Spinor a Four-Vector? | Special Relativity

In special relativity, we are dealing a lot with four-vectors, but what exactly is a four-vector? A four-vector is an object with four entries, which get transformed and changed in a very special way after we change our frame of reference. More precisely, a four-vector transforms like a (1

From playlist Special Relativity, General Relativity

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What is a Tensor 3: Dual Spaces

What is a Tensor? Dual Spaces

From playlist What is a Tensor?

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What is a Tensor 5: Tensor Products

What is a Tensor 5: Tensor Products Errata: At 22:00 I write down "T_00 e^0 @ e^1" and the correct expression is "T_00 e^0 @ e^0"

From playlist What is a Tensor?

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Calculus 3: Tensors (10 of 45) Tensor of Rank 3: The Triad

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain a triad tensor “matrix”. A triad is a tensor of rank 3 has 27 components in a row, column, and page 3 dimensional “matrix”; and each component will have 3 subscripts. Next video in the series

From playlist CALCULUS 3 CH 10 TENSORS

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Calculus 3: Tensors (12 of 45) Tensor of Rank 3: The Triad (A 3rd Look)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain a triad tensor “matrix”. In this video I will concentrate on the subscript notations of the “pages”. (A triad is a tensor of rank 3 has 27 components in a “row”, “column”, and “page” 3 dimensi

From playlist CALCULUS 3 CH 10 TENSORS

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Calculus 3: Tensors (11 of 45) Tensor of Rank 3: The Triad (A 2nd Look)

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain a triad tensor “matrix”. In this video I will concentrate on the subscript notations of the “rows”. (A triad is a tensor of rank 3 has 27 components in a “row”, “column”, and “page” 3 dimensio

From playlist CALCULUS 3 CH 10 TENSORS

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Calculus 3: Tensors (1 of 28) What is a Tensor?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is a tensor. A tensor is a mathematical representation of a scalar (tensor of rank 0), a vector (tensor of rank 1), a dyad (tensor of rank 2), a triad (tensor or rank 3). Next video in t

From playlist CALCULUS 3 CH 10 TENSORS

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Visualization of tensors - part 1

This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te

From playlist Animated Physics Simulations

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Calculus 3: Tensors (2 of 28) Tensors Represented in a Matrix

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and visually show how tensors, scalar, vector, dyad, and triad, are represented by a matrix. Next video in the series can be seen at: https://youtu.be/brnzaYNFJ1w

From playlist CALCULUS 3 CH 10 TENSORS

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Practical 1.1 – Torch

An overview on Torch’s Tensors Full project: https://github.com/Atcold/torch-Video-Tutorials Torch7 website: http://torch.ch LuaJIT website: http://luajit.org LuaJIT ffi tutorial: https://github.com/Atcold/Torch-Developer-Guide#ffi-series Inspired by: https://github.com/atamahjoubfar/Torc

From playlist Deep-Learning-Course

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Lec 03. Einstein's General Relativity and Gravitation: Special Relativity 2

UCI Physics 255 Einstein's General Relativity and Gravitation (Spring 2014) Lec 03. Einstein's General Relativity and Gravitation -- Special Relativity -- Part 2 View the complete course: http://ocw.uci.edu/courses/einsteins_general_relativity_and_gravitation.html Instructor: Herbert W. Ha

From playlist Einstein's General Relativity and Gravitation

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Nonlinear algebra, Lecture 8: "Tensors", by Bernd Sturmfels and Mateusz Michalek

This is the eight lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.

From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

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Tensor Network Methods in Four Dimensional Field Theory by Daisuke Kadoh

PROGRAM Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (ONLINE) ORGANIZERS: David Berenstein (UCSB), Simon Catterall (Syracuse University), Masanori Hanada (University of Surrey), Anosh Joseph (IISER, Mohali), Jun Nishimura (KEK Japan), David Sc

From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (Online)

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What is General Relativity? Lesson 47: The double dual of the Riemann tensor

What is General Relativity? Lesson 47: The double dual of the Riemann Tensor The double dual of the Riemann tensor is an obscure object but it gives us a chance to quickly review 2-forms. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discuss

From playlist What is General Relativity?

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What is a Tensor? Lesson 22: Invitation to p-forms

What is a Tensor? Lesson 22: Invitation to p-forms We introduce the idea of forms with a literal presentation: forms are antisymmetric tensors.

From playlist What is a Tensor?

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Complete Derivation: Universal Property of the Tensor Product

Previous tensor product video: https://youtu.be/KnSZBjnd_74 The universal property of the tensor product is one of the most important tools for handling tensor products. It gives us a way to define functions on the tensor product using bilinear maps. However, the statement of the universa

From playlist Tensor Products

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Dive into Deep Learning - Lecture 1: PyTorch Tensor Basics, Operations, Functions, and Broadcasting

In this video, we review Section "2.1. Data Manipulation" of the "Dive into Deep Learning" textbook available at https://d2l.ai/index.html. We discuss the basics of tensors in PyTorch, which are multi-dimensional arrays of numerical values. A tensor with one axis is known as vector in math

From playlist Dive into Deep Learning - Dr. Data Science Series

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CNN Flatten Operation Visualized - Tensor Batch Processing for Deep Learning

Visualize a tensor flatten operation for a single grayscale image, and show how we can flatten specific tensor axes, which is often required with CNNs because we work with batches of inputs opposed to single inputs. Ted talk: https://youtu.be/Cgxsv1riJhI 🕒🦎 VIDEO SECTIONS 🦎🕒 00:00 Welco

From playlist PyTorch - Python Deep Learning Neural Network API

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Matej Balog - AlphaTensor: Discover faster matrix multiplication algorithms with RL - IPAM at UCLA

Recorded 27 February 2023. Matej Balog of DeepMind presents "AlphaTensor: Discovering faster matrix multiplication algorithms with RL" at IPAM's Artificial Intelligence and Discrete Optimization Workshop. Abstract: Improving the efficiency of algorithms for fundamental computational tasks

From playlist 2023 Artificial Intelligence and Discrete Optimization

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Calculus 3: Tensors (3 of 28) What is a Dyad? A Graphical Representation

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the physical graphical representation of a tensor of rank 2, or a dyad. A tensor of rank 2 has 9 components, which means there will be 3 vectors each representing a force or stress or somethin

From playlist CALCULUS 3 CH 10 TENSORS

Related pages

Four-momentum | Four-vector | Momentum | Tensor | Covariance and contravariance of vectors | Angular momentum | Line element | Energy density | Riemann curvature tensor | Spin tensor | Speed of light | Stress–energy tensor | Relativistic angular momentum | Raising and lowering indices