MyWikiBiz, Author Your Legacy — Thursday September 26, 2024
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278 bytes added
, 14:12, 10 March 2009
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| </pre> | | </pre> |
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− | Figure 2.2 expands Eg = ((u + du, v + dv)) over [u, v] to give: | + | Figure 2.2 expands <math>\operatorname{E}g = \texttt{((u + du,~v + dv))}</math> over <math>[u, v]\!</math> to give: |
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− | uv.((du, dv)) + u(v).(du, dv) + (u)v.(du, dv) + (u)(v).((du, dv)) | + | {| align="center" cellpadding="8" width="90%" |
| + | | <math>\texttt{uv~((du,~dv)) ~+~ u(v)~(du,~dv) ~+~ (u)v~(du,~dv) ~+~ (u)(v)~((du,~dv))}</math> |
| + | |} |
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| <pre> | | <pre> |
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| </pre> | | </pre> |
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− | Figure 2.3 expands Dg = g + Eg over [u, v] to yield the form: | + | Figure 2.3 expands <math>\operatorname{D}g = g + \operatorname{E}g</math> over <math>[u, v]\!</math> to yield the form: |
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− | uv.(du, dv) + u(v).(du, dv) + (u)v.(du, dv) + (u)(v).(du, dv) | + | {| align="center" cellpadding="8" width="90%" |
| + | | <math>\texttt{uv~(du,~dv) ~+~ u(v)~(du,~dv) ~+~ (u)v~(du,~dv) ~+~ (u)(v)~(du,~dv)}</math> |
| + | |} |
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| <pre> | | <pre> |