|
|
|
|
|
further reading | more topics » |
| mjbWorld program | 3D theory |
3D physics |
3D maths |
3D programming | technology |
about site |
sitemap A-Z |
| index | algebra | geometry | calculus | graph theory | statistics | principles | standards |
| index | equations | multi-dim | vector | matrix | complex | clifford | groups |
| index | transforms | arithmetic | functions | orthogonal | factoring | resources | tensors |
| index | coordinates | indices | hypermatrix | operations | applications |
| index | table | gram | kronecker | permutation |
The tensor terminology (see this page for more definitions)
| operation | super & |
expansion (using Einstein convention) |
equivalent vector and matrix notation | ||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
dot product |
ei Ai | e0 A0 + e1 A1 |
|
||||||||||||||||||||||
| dot product | Aijbi | A0jb0 + A1jb1 |
|
||||||||||||||||||||||
| dot product | AijBki | A0jBk0 + A1kBk2 |
|
||||||||||||||||||||||
| metric tensor | ds²=gp gdupdup |
|
|||||||||||||||||||||||
cross product a×b |
εijkajbk |
|
|||||||||||||||||||||||
| gram matrix Gij | viT vj | (vi | vj) |
|
||||||||||||||||||||||
|
metadata block |
|
| see also: |
|
| Correspondence about this page | |
|
Book Shop - Further reading. Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them. |
       Tensor Analysis. |
|
Commercial Software Shop Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them. |
|
Can you help? Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page. |
|
|
Terminology and Notation Specific to this page here: |
|
|
program I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here: |
|
This site may have errors. Don't use for critical systems.
Copyright (c) 1998-2008 Martin John Baker - All rights reserved - privacy policy.
