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Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus
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Revision as of 18:08, 20 June 2008
597 bytes added
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18:08, 20 June 2008
→Taylor Series Expansion
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==Taylor Series Expansion==
==Taylor Series Expansion==
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{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
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|+ '''Taylor Series Expansion'''
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|- style="background:ghostwhite; height:36px"
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|
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|
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<p><math>\operatorname{d}f = </math></p>
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<p><math>\partial_x f \cdot \operatorname{d}x\ +\ \partial_y f \cdot \operatorname{d}y</math></p>
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|
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<p><math>\operatorname{d}^2 f = </math></p>
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<p><math>\partial_{xy} f \cdot \operatorname{d}x \cdot \operatorname{d}y</math></p>
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| <math>df|_{x\ y}\!</math>
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| <math>df|_{x\ (y)}\!</math>
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| <math>df|_{(x)\ y}\!</math>
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| <math>df|_{(x)(y)}\!</math>
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|}
{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
{| align="center" border="1" cellpadding="4" cellspacing="0" style="font-weight:bold; text-align:center; width:96%"
Jon Awbrey
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