annotate sicm/notes.org @ 10:543b1dbf821d
New article: Inductive lattices
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Dylan Holmes <ocsenave@gmail.com> |
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Tue, 01 Nov 2011 01:55:26 -0500 |
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1 #+TITLE: Notes for SICM
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2
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3 * Complex numbers
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4
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5
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6 * Multidimensional Structures
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7 ** Tuples
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8 - Tuples are a new data type: sequences with /spin/. A tuple can be either spin-up or spin-down.
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9 - A pair of compatible tuples can be *contracted* into a single number.
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10 - Tuples are compatible if they have the same length and opposite
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11 spin, and if their corresponding pairs of items are either both
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12 numbers or both compatible tuples.
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13 - To contract tuples, take the sum of the products of corresponding
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14 pairs of items. (To take the product of compatible tuples,
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15 contract them.)
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16
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17 *Generic Arithmetic:* To multiply two tuples, check to see if they are
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18 compatible. If they are, contract them. If they aren't, multiply each
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19 item of the second tuple by the first tuple.
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20
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21 To multiply a tuple by a number, multiply each element of the tuple by
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22 the number.
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23
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24 ** Matrices
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25 Uses incanter matrices.
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