dylan: sicm/notes.org annotate

initial import

rev	line source
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.

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