https://www.lntwww.de/index.php?action=history&feed=atom&title=Applets%3AEntropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen 2026-05-02T01:13:37Z Versionsgeschichte dieser Seite in LNTwww MediaWiki 1.34.1 https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=34533&oldid=prev 2025-02-24T09:43:43Z

<p>Textersetzung - „Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29“ durch „Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_von_1974-2024.29“</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 24. Februar 2025, 09:43 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l424" >Zeile 424:</td> <td colspan="2" class="diff-lineno">Zeile 424:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Über die Autoren==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Über die Autoren==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Dieses interaktive Applet  wurde am [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] der [https://www.tum.de/ Technischen Universität München] konzipiert und realisiert.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Dieses interaktive Applet  wurde am [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] der [https://www.tum.de/ Technischen Universität München] konzipiert und realisiert.  </div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*Die erste Version wurde 2011 von [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Eugen_Mehlmann_.28Bachelorarbeit_EI_2011.29|Eugen Mehlmann]] im Rahmen seiner Bachelorarbeit mit &amp;bdquo;FlashMX&amp;ndash;Actionscript&amp;rdquo; erstellt (Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.<del class="diffchange diffchange-inline">28am_LNT_seit_1974</del>.29|Günter Söder]]).  </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*Die erste Version wurde 2011 von [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Eugen_Mehlmann_.28Bachelorarbeit_EI_2011.29|Eugen Mehlmann]] im Rahmen seiner Bachelorarbeit mit &amp;bdquo;FlashMX&amp;ndash;Actionscript&amp;rdquo; erstellt (Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.<ins class="diffchange diffchange-inline">28am_LNT_von_1974-2024</ins>.29|Günter Söder]]).  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*2019 wurde das Programm  von  [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] (Bachelorarbeit, Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29|Tasnád Kernetzky]] ) auf  &amp;bdquo;HTML5&amp;rdquo; umgesetzt und neu gestaltet.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*2019 wurde das Programm  von  [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] (Bachelorarbeit, Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29|Tasnád Kernetzky]] ) auf  &amp;bdquo;HTML5&amp;rdquo; umgesetzt und neu gestaltet.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-34384:rev-34533 --> </table>

Höfler https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=34384&oldid=prev 2023-10-26T10:15:07Z

<p>Textersetzung - „Biografien_und_Bibliografien/Beteiligte_der_Professur_Leitungsgebundene_%C3%9Cbertragungstechnik#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28bei_L.C3.9CT_seit_2014.29“ durch „Biografien_und_Bibliografien/An_LNTwww_beteiligte_LÜT-Angehörige#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28bei_L.C3.9CT_von_2014-2022.29“</p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 26. Oktober 2023, 10:15 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l425" >Zeile 425:</td> <td colspan="2" class="diff-lineno">Zeile 425:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Dieses interaktive Applet  wurde am [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] der [https://www.tum.de/ Technischen Universität München] konzipiert und realisiert.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Dieses interaktive Applet  wurde am [http://www.lnt.ei.tum.de/startseite Lehrstuhl für Nachrichtentechnik] der [https://www.tum.de/ Technischen Universität München] konzipiert und realisiert.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Die erste Version wurde 2011 von [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Eugen_Mehlmann_.28Bachelorarbeit_EI_2011.29|Eugen Mehlmann]] im Rahmen seiner Bachelorarbeit mit &amp;bdquo;FlashMX&amp;ndash;Actionscript&amp;rdquo; erstellt (Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29|Günter Söder]]).  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Die erste Version wurde 2011 von [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Eugen_Mehlmann_.28Bachelorarbeit_EI_2011.29|Eugen Mehlmann]] im Rahmen seiner Bachelorarbeit mit &amp;bdquo;FlashMX&amp;ndash;Actionscript&amp;rdquo; erstellt (Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29|Günter Söder]]).  </div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*2019 wurde das Programm  von  [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] (Bachelorarbeit, Betreuer: [[Biografien_und_Bibliografien/<del class="diffchange diffchange-inline">Beteiligte_der_Professur_Leitungsgebundene_%C3%9Cbertragungstechnik</del>#<del class="diffchange diffchange-inline">Tasn.C3</del>.<del class="diffchange diffchange-inline">A1d_Kernetzky</del>.<del class="diffchange diffchange-inline">2C_M</del>.<del class="diffchange diffchange-inline">Sc</del>.<del class="diffchange diffchange-inline">_</del>.28bei_L.C3.<del class="diffchange diffchange-inline">9CT_seit_2014</del>.29|Tasnád Kernetzky]] ) auf  &amp;bdquo;HTML5&amp;rdquo; umgesetzt und neu gestaltet.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*2019 wurde das Programm  von  [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] (Bachelorarbeit, Betreuer: [[Biografien_und_Bibliografien/<ins class="diffchange diffchange-inline">An_LNTwww_beteiligte_LÜT-Angehörige</ins>#<ins class="diffchange diffchange-inline">Dr</ins>.<ins class="diffchange diffchange-inline">-Ing</ins>.<ins class="diffchange diffchange-inline">_Tasn</ins>.<ins class="diffchange diffchange-inline">C3</ins>.<ins class="diffchange diffchange-inline">A1d_Kernetzky_</ins>.28bei_L.C3.<ins class="diffchange diffchange-inline">9CT_von_2014-2022</ins>.29|Tasnád Kernetzky]] ) auf  &amp;bdquo;HTML5&amp;rdquo; umgesetzt und neu gestaltet.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-34270:rev-34384 --> </table>

Höfler https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=34270&oldid=prev 2023-04-24T15:43:26Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 24. April 2023, 15:43 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l29" >Zeile 29:</td> <td colspan="2" class="diff-lineno">Zeile 29:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Similarly, for the infinite source symbol sequence, so-called entropy approximations &amp;nbsp;$H_1$, &amp;nbsp;$H_2$, ... , &amp;nbsp;$H_k$, ... are given in closed form, where  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Similarly, for the infinite source symbol sequence, so-called entropy approximations &amp;nbsp;$H_1$, &amp;nbsp;$H_2$, ... , &amp;nbsp;$H_k$, ... are given in closed form, where  </div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*<del class="diffchange diffchange-inline">refers &amp;nbsp;</del>$H_1$&amp;nbsp; to the symbol probabilities alone (that is, &amp;nbsp; dependencies of the symbols within the sequence are not considered),</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*$H_1$&amp;nbsp; <ins class="diffchange diffchange-inline">refers </ins>to the symbol probabilities alone (that is, &amp;nbsp; dependencies of the symbols within the sequence are not considered),</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* for the calculation of &amp;nbsp;$H_2$&amp;nbsp; the sequence is divided into tuples of two and their entropy is given, and finally</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* for the calculation of &amp;nbsp;$H_2$&amp;nbsp; the sequence is divided into tuples of two and their entropy is given, and finally</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* by expansion the entropy &amp;nbsp;$H_k$&amp;nbsp; of &amp;nbsp;$k$&amp;ndash;tuples is specifiable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* by expansion the entropy &amp;nbsp;$H_k$&amp;nbsp; of &amp;nbsp;$k$&amp;ndash;tuples is specifiable.</div></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-34269:rev-34270 --> </table>

Nagi https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=34269&oldid=prev 2023-04-24T15:42:36Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 24. April 2023, 15:42 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l38" >Zeile 38:</td> <td colspan="2" class="diff-lineno">Zeile 38:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$H_0$&amp;nbsp; denotes the ''decision content'' of binary message sources. The ''entropy'' &amp;nbsp;$H$&amp;nbsp; of the source is given as the limit of &amp;nbsp;$H_k$&amp;nbsp; for &amp;nbsp;$k \to \infty$.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$H_0$&amp;nbsp; denotes the ''decision content'' of binary message sources. The ''entropy'' &amp;nbsp;$H$&amp;nbsp; of the source is given as the limit of &amp;nbsp;$H_k$&amp;nbsp; for &amp;nbsp;$k \to \infty$.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Implicit in all these analytically specifiable quantities is the sequence length &amp;nbsp;$N \to \infty$. However, the entropy &amp;nbsp;$H$&amp;nbsp; can also be derived from a bounded source symbol sequence &amp;nbsp;$〈 q_1 \hspace{0.05cm}〉 =〈 q_1 , \hspace{0.05cm}\text{ ...} \hspace{0.05cm}, q_{N}\hspace{0.05cm}〉$&amp;nbsp; approximations, i.e., even when the statistical properties of the binary source are unknown. The corresponding entropy approximations are denoted here by &amp;nbsp;$\hat H_1$, &amp;nbsp;$\hat H_2$, ... , &amp;nbsp;$\<del class="diffchange diffchange-inline">has </del>H_k$, ... denotes.  </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Implicit in all these analytically specifiable quantities is the sequence length &amp;nbsp;$N \to \infty$. However, the entropy &amp;nbsp;$H$&amp;nbsp; can also be derived from a bounded source symbol sequence &amp;nbsp;$〈 q_1 \hspace{0.05cm}〉 =〈 q_1 , \hspace{0.05cm}\text{ ...} \hspace{0.05cm}, q_{N}\hspace{0.05cm}〉$&amp;nbsp; approximations, i.e., even when the statistical properties of the binary source are unknown. The corresponding entropy approximations are denoted here by &amp;nbsp;$\hat H_1$, &amp;nbsp;$\hat H_2$, ... , &amp;nbsp;$\<ins class="diffchange diffchange-inline">hat </ins>H_k$, ... denotes.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This is also discussed in the following description with the conclusion:</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>This is also discussed in the following description with the conclusion:</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>*The approximation &amp;nbsp;$\<del class="diffchange diffchange-inline">has </del>H_k$&amp;nbsp; is of course the more accurate, the larger the sequence length &amp;nbsp;$N$&amp;nbsp; is.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>*The approximation &amp;nbsp;$\<ins class="diffchange diffchange-inline">hat </ins>H_k$&amp;nbsp; is of course the more accurate, the larger the sequence length &amp;nbsp;$N$&amp;nbsp; is.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*If nothing more is known about the source than the exemplary sequence, the computational effort is enormous.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*If nothing more is known about the source than the exemplary sequence, the computational effort is enormous.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-34268:rev-34269 --> </table>

Nagi https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=34268&oldid=prev 2023-04-24T15:41:18Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 24. April 2023, 15:41 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22" >Zeile 22:</td> <td colspan="2" class="diff-lineno">Zeile 22:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Die Näherung &amp;nbsp;$\hat H_k$&amp;nbsp; ist natürlich um so genauer, je größer die Folgenlänge  &amp;nbsp;$N$&amp;nbsp; ist.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Die Näherung &amp;nbsp;$\hat H_k$&amp;nbsp; ist natürlich um so genauer, je größer die Folgenlänge  &amp;nbsp;$N$&amp;nbsp; ist.</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Ist über die Quelle nichts weiter bekannt als die beispielhafte Folge, so ist der Rechenaufwand enorm.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Ist über die Quelle nichts weiter bekannt als die beispielhafte Folge, so ist der Rechenaufwand enorm.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"> </del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">==English Description==</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">This applet is intended to clarify the notion of &amp;bdquo;entropy&amp;rdquo; using the example of a binary message source. Thus, the source symbol sequence is &amp;nbsp;$〈 q_1, \hspace{0.05cm} q_2,\hspace{0.05cm}\text{ ...} \hspace{0.05cm}, q_{ν-1}, \hspace{0.05cm}q_ν, \hspace{0.05cm}\hspace{0.05cm}q_{ν+1} ,\hspace{0.05cm}\text{ ...} \hspace{0.05cm}〉$&amp;nbsp; with &amp;nbsp;$q_i \in \{A, B\}$&amp;nbsp; for &amp;nbsp;$i \ge 1$. Both a memoryless source and a first-order Markov source (i.e., with memory &amp;bdquo;1&amp;rdquo;) are considered, whose entropies &amp;nbsp;$H$&amp;nbsp; can each be given in closed form.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Similarly, for the infinite source symbol sequence, so-called entropy approximations &amp;nbsp;$H_1$, &amp;nbsp;$H_2$, ... , &amp;nbsp;$H_k$, ... are given in closed form, where </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*refers &amp;nbsp;$H_1$&amp;nbsp; to the symbol probabilities alone (that is, &amp;nbsp; dependencies of the symbols within the sequence are not considered),</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* for the calculation of &amp;nbsp;$H_2$&amp;nbsp; the sequence is divided into tuples of two and their entropy is given, and finally</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">* by expansion the entropy &amp;nbsp;$H_k$&amp;nbsp; of &amp;nbsp;$k$&amp;ndash;tuples is specifiable.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Here, for any given message source (with or without memory), the following size realizations exist: </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:$$ H &lt;\text{...} \le H_k &lt;\text{...} \le H_3 \le H_2 \le H_1 \le H_0 = \log_2 \ 2 = 1\text{ bit/symbol} \hspace{0.05cm}.$$</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">$H_0$&amp;nbsp; denotes the ''decision content'' of binary message sources. The ''entropy'' &amp;nbsp;$H$&amp;nbsp; of the source is given as the limit of &amp;nbsp;$H_k$&amp;nbsp; for &amp;nbsp;$k \to \infty$. </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Implicit in all these analytically specifiable quantities is the sequence length &amp;nbsp;$N \to \infty$. However, the entropy &amp;nbsp;$H$&amp;nbsp; can also be derived from a bounded source symbol sequence &amp;nbsp;$〈 q_1 \hspace{0.05cm}〉 =〈 q_1 , \hspace{0.05cm}\text{ ...} \hspace{0.05cm}, q_{N}\hspace{0.05cm}〉$&amp;nbsp; approximations, i.e., even when the statistical properties of the binary source are unknown. The corresponding entropy approximations are denoted here by &amp;nbsp;$\hat H_1$, &amp;nbsp;$\hat H_2$, ... , &amp;nbsp;$\has H_k$, ... denotes. </ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">This is also discussed in the following description with the conclusion:</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*The approximation &amp;nbsp;$\has H_k$&amp;nbsp; is of course the more accurate, the larger the sequence length &amp;nbsp;$N$&amp;nbsp; is.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*If nothing more is known about the source than the exemplary sequence, the computational effort is enormous.</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Theoretischer Hintergrund==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Theoretischer Hintergrund==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;  </div></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-33775:rev-34268 --> </table>

Nagi https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=33775&oldid=prev 2023-01-12T14:51:34Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 12. Januar 2023, 14:51 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del class="diffchange diffchange-inline">LntAppletLinkDe</del>|entropy}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{<ins class="diffchange diffchange-inline">LntAppletLink</ins>|entropy}}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l410" >Zeile 410:</td> <td colspan="2" class="diff-lineno">Zeile 410:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del class="diffchange diffchange-inline">LntAppletLinkDeEn</del>|entropy<del class="diffchange diffchange-inline">|entropy_en</del>}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{<ins class="diffchange diffchange-inline">LntAppletLink</ins>|entropy}}</div></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-33774:rev-33775 --> </table>

Guenter https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=33774&oldid=prev 2023-01-12T14:50:18Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 12. Januar 2023, 14:50 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del class="diffchange diffchange-inline">LntAppletLinkDeEn</del>|entropy<del class="diffchange diffchange-inline">|entropy_en</del>}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{<ins class="diffchange diffchange-inline">LntAppletLinkDe</ins>|entropy}}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-31498:rev-33774 --> </table>

Guenter https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=31498&oldid=prev 2021-02-25T17:33:27Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 25. Februar 2021, 17:33 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del class="diffchange diffchange-inline">LntAppletLink</del>|entropy}}  </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{<ins class="diffchange diffchange-inline">LntAppletLinkDeEn</ins>|entropy<ins class="diffchange diffchange-inline">|entropy_en</ins>}}</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Programmbeschreibung==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Programmbeschreibung==</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l409" >Zeile 409:</td> <td colspan="2" class="diff-lineno">Zeile 410:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{<del class="diffchange diffchange-inline">LntAppletLink</del>|entropy}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{<ins class="diffchange diffchange-inline">LntAppletLinkDeEn</ins>|entropy<ins class="diffchange diffchange-inline">|entropy_en</ins>}}</div></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-31058:rev-31498 --> </table>

Guenter https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=31058&oldid=prev 2020-08-20T12:35:51Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 20. August 2020, 12:35 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Zeile 1:</td> <td colspan="2" class="diff-lineno">Zeile 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{LntAppletLink|<del class="diffchange diffchange-inline">entropie</del>}}  </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{LntAppletLink|<ins class="diffchange diffchange-inline">entropy</ins>}}  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Programmbeschreibung==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Programmbeschreibung==</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l409" >Zeile 409:</td> <td colspan="2" class="diff-lineno">Zeile 409:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{LntAppletLink|<del class="diffchange diffchange-inline">entropie</del>}}</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>{{LntAppletLink|<ins class="diffchange diffchange-inline">entropy</ins>}}</div></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-27704:rev-31058 --> </table>

Tasnad https://www.lntwww.de/index.php?title=Applets:Entropie_und_N%C3%A4herungen_bin%C3%A4rer_Nachrichtenquellen&diff=27704&oldid=prev 2019-05-10T12:14:42Z

<p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="de"> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Nächstältere Version</td> <td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Version vom 10. Mai 2019, 12:14 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l403" >Zeile 403:</td> <td colspan="2" class="diff-lineno">Zeile 403:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Die erste Version wurde 2011 von [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Eugen_Mehlmann_.28Bachelorarbeit_EI_2011.29|Eugen Mehlmann]] im Rahmen seiner Bachelorarbeit mit &amp;bdquo;FlashMX&amp;ndash;Actionscript&amp;rdquo; erstellt (Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29|Günter Söder]]).  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*Die erste Version wurde 2011 von [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Eugen_Mehlmann_.28Bachelorarbeit_EI_2011.29|Eugen Mehlmann]] im Rahmen seiner Bachelorarbeit mit &amp;bdquo;FlashMX&amp;ndash;Actionscript&amp;rdquo; erstellt (Betreuer: [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29|Günter Söder]]).  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*2019 wurde das Programm  von  [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] (Bachelorarbeit, Betreuer: [[Biografien_und_Bibliografien/Beteiligte_der_Professur_Leitungsgebundene_%C3%9Cbertragungstechnik#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28bei_L.C3.9CT_seit_2014.29|Tasnád Kernetzky]] ) auf  &amp;bdquo;HTML5&amp;rdquo; umgesetzt und neu gestaltet.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>*2019 wurde das Programm  von  [[Biografien_und_Bibliografien/An_LNTwww_beteiligte_Studierende#Xiaohan_Liu_.28Bachelorarbeit_2018.29|Xiaohan Liu]] (Bachelorarbeit, Betreuer: [[Biografien_und_Bibliografien/Beteiligte_der_Professur_Leitungsgebundene_%C3%9Cbertragungstechnik#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28bei_L.C3.9CT_seit_2014.29|Tasnád Kernetzky]] ) auf  &amp;bdquo;HTML5&amp;rdquo; umgesetzt und neu gestaltet.</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Die Umsetzung dieses Applets auf HTML 5 wurde durch&amp;nbsp; [https://www.ei.tum.de/studium/studienzuschuesse/ Studienzuschüsse]&amp;nbsp; der Fakultät EI der TU München finanziell unterstützt. Wir bedanken uns.</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==Nochmalige Aufrufmöglichkeit des Applets in neuem Fenster==</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{LntAppletLink|entropie}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{LntAppletLink|entropie}}</div></td></tr> <!-- diff cache key mediawiki:diff::1.12:old-27507:rev-27704 --> </table>

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