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Directory:Jon Awbrey/Papers/Differential Propositional Calculus (view source)
Revision as of 13:04, 27 May 2008
, 13:04, 27 May 2008→Differential Propositions: HTML --> TeX
: <p><math>\operatorname{E}f = xy\ \operatorname{E}f_{x y} + x (\!| y |\!)\ \operatorname{E}f_{x (\!| y |\!)} + (\!| x |\!) y\ \operatorname{E}f_{(\!| x |\!) y} + (\!| x |\!)(\!| y |\!)\ \operatorname{E}f_{(\!| x |\!)(\!| y |\!)}.</math></p>
: <p><math>\operatorname{E}f = xy\ \operatorname{E}f_{x y} + x (\!| y |\!)\ \operatorname{E}f_{x (\!| y |\!)} + (\!| x |\!) y\ \operatorname{E}f_{(\!| x |\!) y} + (\!| x |\!)(\!| y |\!)\ \operatorname{E}f_{(\!| x |\!)(\!| y |\!)}.</math></p>
Here is a summary of the result, illustrated by means of a digraph picture, where the "no change" element (''dx'')(''dy'') is drawn as a loop at the point ''x y''.
Here is a summary of the result, illustrated by means of a digraph picture, where the ''no change'' element <math>(\!| \operatorname{d}x |\!)(\!| \operatorname{d}y |\!)</math> is drawn as a loop at the point <math>xy.\!</math>
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