MyWikiBiz, Author Your Legacy — Thursday November 28, 2024
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, 20:58, 20 May 2009
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| ==Charts and graphs== | | ==Charts and graphs== |
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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 ways of visualizing the space <math>\mathbb{B}^k</math> of <math>2^k\!</math> points are the [[hypercube]] picture and the [[venn diagram]] picture. The hypercube picture represents each point of <math>\mathbb{B}^k</math> by the corresponding point of the <math>k\!</math>-cube. The venn diagram picture represents each point of <math>\mathbb{B}^k</math> by the corresponding "cell" of the venn diagram on <math>k\!</math> "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. |