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Display information for equation id:math.1199.1117 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1117)

Occurrences on the following pages:

Wellenausbreitung in Materie Eq: math.2160.67

Hash: c2853cb3dde7abcfcca6f7c845344878

TeX (original user input):

\begin{align}
& \int\limits_{Kreisbogen}{{}}ds\frac{f(s)}{s}=f(0)\int\limits_{Kreisbogen}{{}}\frac{ds}{s} \\
& s=\varepsilon {{e}^{i\phi }}\Rightarrow ds=isd\phi  \\
& f(0)\int\limits_{Kreisbogen}{{}}\frac{ds}{s}=f(0)i\int\limits_{0}^{\pi }{{}}d\phi =i\pi f(0) \\
\end{align}

TeX (checked):

{\begin{aligned}&\int \limits _{Kreisbogen}{}ds{\frac {f(s)}{s}}=f(0)\int \limits _{Kreisbogen}{}{\frac {ds}{s}}\\&s=\varepsilon {{e}^{i\phi }}\Rightarrow ds=isd\phi \\&f(0)\int \limits _{Kreisbogen}{}{\frac {ds}{s}}=f(0)i\int \limits _{0}^{\pi }{}d\phi =i\pi f(0)\\\end{aligned}}

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MathML (2.637 KB / 465 B) :

\begin{aligned} \int_{K r e i s b o g e n} d s \frac{f (s)}{s} = f (0) \int_{K r e i s b o g e n} \frac{d s}{s} \\ s = ε e^{i ϕ} \Rightarrow d s = i s d ϕ \\ f (0) \int_{K r e i s b o g e n} \frac{d s}{s} = f (0) i \int_{0}^{π} d ϕ = i π f (0) \end{aligned}

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Identifiers

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$i$

$s$

$b$

$o$

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$r$

$e$

$i$

$s$

$b$

$o$

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$e$

$n$

$s$

$s$

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$ε$

$e$

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$ϕ$

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$i$

$s$

$d$

$ϕ$

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$K$

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$i$

$π$

$ϕ$

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