MyWikiBiz, Author Your Legacy — Friday October 31, 2025
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		,  02:39, 30 July 2008
	
 
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| − | In this definition ''q''<sub>''b''</sub> =''q''(''b''), for each''b'' in'''B'''.  Thus, the propositiond''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>}. |