Mercurial > dylan
annotate sicm/notes.org @ 6:b2f55bcf6853
fixed comments
author | Robert McIntyre <rlm@mit.edu> |
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date | Fri, 28 Oct 2011 04:56:15 -0700 |
parents | b4de894a1e2e |
children |
rev | line source |
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rlm@2 | 1 #+TITLE: Notes for SICM |
rlm@2 | 2 |
rlm@2 | 3 * Complex numbers |
rlm@2 | 4 |
rlm@2 | 5 |
rlm@2 | 6 * Multidimensional Structures |
rlm@2 | 7 ** Tuples |
rlm@2 | 8 - Tuples are a new data type: sequences with /spin/. A tuple can be either spin-up or spin-down. |
rlm@2 | 9 - A pair of compatible tuples can be *contracted* into a single number. |
rlm@2 | 10 - Tuples are compatible if they have the same length and opposite |
rlm@2 | 11 spin, and if their corresponding pairs of items are either both |
rlm@2 | 12 numbers or both compatible tuples. |
rlm@2 | 13 - To contract tuples, take the sum of the products of corresponding |
rlm@2 | 14 pairs of items. (To take the product of compatible tuples, |
rlm@2 | 15 contract them.) |
rlm@2 | 16 |
rlm@2 | 17 *Generic Arithmetic:* To multiply two tuples, check to see if they are |
rlm@2 | 18 compatible. If they are, contract them. If they aren't, multiply each |
rlm@2 | 19 item of the second tuple by the first tuple. |
rlm@2 | 20 |
rlm@2 | 21 To multiply a tuple by a number, multiply each element of the tuple by |
rlm@2 | 22 the number. |
rlm@2 | 23 |
rlm@2 | 24 ** Matrices |
rlm@2 | 25 Uses incanter matrices. |