File:Relation 0010 0111 (cubic matrix).png
![File:Relation 0010 0111 (cubic matrix).png](https://upload.wikimedia.org/wikipedia/commons/thumb/5/5b/Relation_0010_0111_%28cubic_matrix%29.png/600px-Relation_0010_0111_%28cubic_matrix%29.png?20150706224650)
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Summary
[edit]This file shows a 16×16×16 "logical tensor" representing a 3-ary Boolean relation. (white 0, red 1)
In the following example calculation the 3-ary relations are represented by their logical tensor,
their Venn diagrams and cubes dual to the Venn diagrams.
As the used operation is and the resulting tensor shows all ones that are both in the fist and in the second input.
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The dimension 3 is necesseary because 3-ary relations are to be represented.
The 24=16 is a random power of two. Tensors like this one represent the relations in a four element universe.
![](https://upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Relation_0010_0111_%28cube_layers%29.svg/800px-Relation_0010_0111_%28cube_layers%29.svg.png)
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current | 22:46, 6 July 2015 | ![]() | 2,048 × 2,048 (114 KB) | Cmdrjameson (talk | contribs) | Compressed with pngout. Reduced by 40kB (26% decrease). |
13:33, 27 January 2011 | ![]() | 2,048 × 2,048 (155 KB) | Watchduck (talk | contribs) |
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