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Back to MatematickyAparatFyzikyKontinua1, or MatematickyAparatFyzikyKontinua1 version history

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skalární součin vektorů: [{Math fontsize='14'
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\nabla\times\vec{v}=\left(\sum\limits_j\vec{\delta}_j\frac{\partial}{\partial
\begin{array}{l}
{\nabla\times\vec{v}=\left(\sum\limits_j\vec{\delta}_j\frac{\partial}{\partial
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x_j}v_k=\nonumber\\
=\sum\limits_i\sum\limits_j\sum\limits_k\varepsilon_{ijk}\vec{\delta}_i\frac{\partial
x_j}v_k=\nonumber}\\ \\
{=\sum\limits_i\sum\limits_j\sum\limits_k\varepsilon_{ijk}\vec{\delta}_i\frac{\partial
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=rot\,\vec{v}
=rot\,\vec{v}}
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\begin{eqnarray}
\nabla rs & = & r\nabla s+s\nabla r\\
\nabla.s\vec{v} & = & \n...\\
\nabla\times s\vec{v} & = & \nabla s\times\vec{v}+s\nabla\times\vec{v}
\end{eqnarray} }]
\begin{array}{l}
\nabla rs = r\nabla s+s\nabla r\\
\nabla.s\vec{v} = ...\\
\nabla\times s\vec{v} = \nabla s\times\vec{v}+s\nabla\times\vec{v}
\end{array}
}]
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Tato strana (revision-16) byla změněna 11:09 20.11.2007 uživatelem xkrumpha.