MyWikiBiz, Author Your Legacy — Sunday September 07, 2025
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, 02:39, 30 July 2008
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| \end{array}</math></p> | | \end{array}</math></p> |
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− | In this definition ''q''<sub>''b''</sub> = ''q''(''b''), for each ''b'' in '''B'''. Thus, the proposition d''x''<sub>''i''</sub> is true of the path ''q'' = ‹''u'', ''v''› exactly if the terms of ''q'', the endpoints ''u'' and ''v'', lie on different sides of the question ''x''<sub>''i''</sub>. | + | In this definition <math>q_b = q(b),\!</math> for each <math>b\!</math> in <math>\mathbb{B}.</math> Thus, the proposition <math>\operatorname{d}x_i</math> is true of the path <math>q = (u, v)\!</math> exactly if the terms of <math>q,\!</math> the endpoints <math>u\!</math> and <math>v,\!</math> lie on different sides of the question <math>x_i.\!</math> |
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| Now we can use the language of features in 〈d<font face="lucida calligraphy">X</font>〉, indeed the whole calculus of propositions in [d<font face="lucida calligraphy">X</font>], to classify paths and sets of paths. In other words, the paths can be taken as models of the propositions ''g'' : d''X'' → '''B'''. For example, the paths corresponding to ''Diag''(''X'') fall under the description <font face=system>(</font>d''x''<sub>1</sub><font face=system>)</font>…<font face=system>(</font>d''x''<sub>''n''</sub><font face=system>)</font>, which says that nothing changes among the set of features {''x''<sub>1</sub>, …, ''x''<sub>''n''</sub>}. | | Now we can use the language of features in 〈d<font face="lucida calligraphy">X</font>〉, indeed the whole calculus of propositions in [d<font face="lucida calligraphy">X</font>], to classify paths and sets of paths. In other words, the paths can be taken as models of the propositions ''g'' : d''X'' → '''B'''. For example, the paths corresponding to ''Diag''(''X'') fall under the description <font face=system>(</font>d''x''<sub>1</sub><font face=system>)</font>…<font face=system>(</font>d''x''<sub>''n''</sub><font face=system>)</font>, which says that nothing changes among the set of features {''x''<sub>1</sub>, …, ''x''<sub>''n''</sub>}. |