File:2Tensor representation 2D or 3D.png
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2Tensor_representation_2D_or_3D.png (506 × 206 pixels, file size: 24 KB, MIME type: image/png)
Summary
| Description |
English: In two dimensions, 4 independent parameters are required to describe a tensor. The straight arrows represent eigenvectors and eigenvalues of the symmetric component of the tensor: The first arrow is specified using two variables. These parameters can be (1) the magnitude of the eigen value, and (2) the direction of the eigenvector. The second eigenvector is constrained in direction (to be perpendicular to the first), while that vectors magnitude (eigenvalue) is (3) the third parameter. The final parameter (4) is the magnitude of a vector that is perpendicular to the plane. This magnitude is represented by the size of the circular direction arrow. This fourth parameter is not required if the tensor is symmetric. |
| Date | |
| Source | Own work |
| Author | Guy vandegrift |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:46, 25 December 2023 | | 506 × 206 (24 KB) | wikimediacommons>Guy vandegrift | closer together |
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