MyWikiBiz, Author Your Legacy — Saturday November 30, 2024
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, 18:08, 20 June 2008
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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%" |
| + | |+ '''Taylor Series Expansion''' |
| + | |- style="background:ghostwhite; height:36px" |
| + | | |
| + | | |
| + | <p><math>\operatorname{d}f = </math></p> |
| + | <p><math>\partial_x f \cdot \operatorname{d}x\ +\ \partial_y f \cdot \operatorname{d}y</math></p> |
| + | | |
| + | <p><math>\operatorname{d}^2 f = </math></p> |
| + | <p><math>\partial_{xy} f \cdot \operatorname{d}x \cdot \operatorname{d}y</math></p> |
| + | | <math>df|_{x\ y}\!</math> |
| + | | <math>df|_{x\ (y)}\!</math> |
| + | | <math>df|_{(x)\ y}\!</math> |
| + | | <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%" |