Difference between revisions of "MR 01 Loesung"

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(Created page with "== Lösung in <math>\C</math> == <math>\begin{array}{c c c c c} f_1(z) & = & \frac{\left | z \right |^2}{z} & = & \bar{z} \\ f_2(z) & = & \frac{i \left | z \right |^2}{z…")
 
m (Link zum Rätsel eingefügt.)
 
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Fossys Lösung für das Rätsel [[MR_01]].
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== Lösung in <math>\C</math> ==
 
== Lösung in <math>\C</math> ==
  
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<math>\begin{array}{c c c c c}
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{|
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f_1(z) & = & \frac{\left | z \right |^2}{z}       & = & \bar{z} \\
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| <math>f_1(z) = \frac{\left | z \right |^2}{z}</math>
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f_2(z) & = & \frac{i \left | z \right |^2}{z}     & = & \Re<>\Im(z) \\
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| <math>= \bar{z}</math>
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f_3(z) & = & \frac{z^2 + \left | z \right |^2}{2z} & = & \Re(z) \\
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|-
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f_4(z) & = & \frac{z^2 - \left | z \right |^2}{2z} & = & \Im(z) \\
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| <math>f_2(z) = \frac{i \left | z \right |^2}{z}</math>
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\end{array}</math>
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| <math>= \Re\gtrless\Im(z)</math>
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|-
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| <math>f_3(z) = \frac{z^2 + \left | z \right |^2}{2z}</math>
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| <math>= \Re(z)</math>
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|-
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| <math>f_4(z) = \frac{z^2 - \left | z \right |^2}{2i z}</math>
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| <math>= \Im(z)</math>
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|}
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<math>\forall z \in \C\setminus\{0\}</math>

Latest revision as of 15:05, 14 May 2021

Fossys Lösung für das Rätsel MR_01.

Lösung in Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \C}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f_1(z) = \frac{\left | z \right |^2}{z}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle = \bar{z}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f_2(z) = \frac{i \left | z \right |^2}{z}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle = \Re\gtrless\Im(z)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle = \Re(z)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f_4(z) = \frac{z^2 - \left | z \right |^2}{2i z}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle = \Im(z)}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \forall z \in \C\setminus\{0\}}

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