MyWikiBiz, Author Your Legacy — Sunday November 24, 2024
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, 02:34, 14 February 2008
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| Two common ways of visualizing the space '''B'''<sup>''k''</sup> of 2<sup>''k''</sup> points are the [[hypercube]] picture and the [[venn diagram]] picture. Depending on how literally or figuratively one regards these pictures, each point of '''B'''<sup>k</sup> is either identified with or represented by a point of the ''k''-cube and also by a cell of the venn diagram on ''k'' "circles". | | Two common ways of visualizing the space '''B'''<sup>''k''</sup> of 2<sup>''k''</sup> points are the [[hypercube]] picture and the [[venn diagram]] picture. Depending on how literally or figuratively one regards these pictures, each point of '''B'''<sup>k</sup> is either identified with or represented by a point of the ''k''-cube and also by a cell of the venn diagram on ''k'' "circles". |
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− | In addition, each point of '''B'''<sup>k</sup> is the unique point in the '''[[fiber (mathematics)|fiber]] of truth''' <math>[|s|]</math> of a '''singular proposition''' ''s'' : '''B'''<sup>''k''</sup> → '''B''', and thus it is the unique point where a '''singular conjunction''' of ''k'' '''literals''' is 1. | + | In addition, each point of '''B'''<sup>k</sup> is the unique point in the '''[[fiber (mathematics)|fiber]] of truth''' <math>[|s|]</math> of a '''singular proposition''' ''s'' : '''B'''<sup>''k''</sup> → '''B''', and thus it is the unique point where a '''singular conjunction''' of ''k'' '''literals''' is 1. |
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| For example, consider two cases at opposite vertices of the cube: | | For example, consider two cases at opposite vertices of the cube: |