Black Sea Phytoplankton checklist

Attention! The site was discontinued in 2014. The site is not supported and is not updated. Information on the site may be out of date.
Внимание! Разработка сайта прекращена в 2014 году. Сайт не поддрживается и не обновляется. Информация на сайте может быть устаревшей.

Template:Formula Half spheroid Paraboloid

From Black Sea Phytoplankton checklist

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<math>A_{par}=\frac{2\pi}{3\rho}\sqrt{\left (\frac{d^2}{4}+\rho^2\right )^3}-\rho^3</math><br/>
<math>A_{par}=\frac{2\pi}{3\rho}\sqrt{\left (\frac{d^2}{4}+\rho^2\right )^3}-\rho^3</math><br/>
<math>A_{sph}=\begin{cases}
<math>A_{sph}=\begin{cases}
-
2l>d, half & prolate & spheroid\,\\
+
2l>d,&\mbox{half prolate spheroid}\\
-
2l<d, half oblate spheroid\,
+
2l<d,&\mbox{half oblate spheroid}\\
 +
2l=d,&\mbox{hemisphere}
\end{cases} </math><br/>
\end{cases} </math><br/>
<math>V=\pi d^2\left (\frac{l}{6}+\frac{h}{8}\right )</math><br/>
<math>V=\pi d^2\left (\frac{l}{6}+\frac{h}{8}\right )</math><br/>
<math>A=A_{par}+A_{sph}\,</math>
<math>A=A_{par}+A_{sph}\,</math>
|}
|}

Latest revision as of 05:36, 17 June 2010

Half spheroid Paraboloid
Half spheroid Paraboloid.jpg \rho=\frac{d^2}{8h}

A_{par}=\frac{2\pi}{3\rho}\sqrt{\left (\frac{d^2}{4}+\rho^2\right )^3}-\rho^3
A_{sph}=\begin{cases}
2l>d,&\mbox{half prolate spheroid}\\
2l<d,&\mbox{half oblate spheroid}\\
2l=d,&\mbox{hemisphere}
\end{cases}
V=\pi d^2\left (\frac{l}{6}+\frac{h}{8}\right )
A=A_{par}+A_{sph}\,

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