Mercurial > dylan

     1 #+TITLE: Notes for SICM

     2 

     3 * Complex numbers

     4 

     5 

     6 * Multidimensional Structures

     7 ** Tuples

     8 - Tuples are a new data type: sequences with /spin/. A tuple can be either spin-up or spin-down.

     9 - A pair of compatible tuples can be *contracted* into a single number.

    10   - Tuples are compatible if they have the same length and opposite

    11     spin, and if their corresponding pairs of items are either both

    12     numbers or both compatible tuples.

    13   - To contract tuples, take the sum of the products of corresponding

    14     pairs of items. (To take the product of compatible tuples,

    15     contract them.)

    16 

    17 *Generic Arithmetic:* To multiply two tuples, check to see if they are

    18  compatible. If they are, contract them. If they aren't, multiply each

    19  item of the second tuple by the first tuple.

    20 

    21 To multiply a tuple by a number, multiply each element of the tuple by

    22 the number.

    23 

    24 ** Matrices

    25 Uses incanter matrices.
author	Robert McIntyre <rlm@mit.edu>
date	Fri, 28 Oct 2011 04:56:48 -0700
parents	b4de894a1e2e
children