https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&feed=atom&action=history
File:Exp05mapT200.jpg - Revision history
2024-03-28T13:13:08Z
Revision history for this page on the wiki
MediaWiki 1.31.16
https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&diff=7136&oldid=prev
T at 03:20, 28 July 2013
2013-07-28T03:20:51Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 03:20, 28 July 2013</td>
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<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>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{\exp}$</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>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{\exp}$</div></td>
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<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>
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<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>
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<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>$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)=\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y)$</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>$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)=\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y<ins class="diffchange diffchange-inline">)</ins>)$</div></td>
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<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>
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<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 evaluation, the non-integer iterate of exponential is expressed through [[tetration]] tet and [[arctetration]] ate.</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 evaluation, the non-integer iterate of exponential is expressed through [[tetration]] tet and [[arctetration]] ate.</div></td>
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T
https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&diff=7135&oldid=prev
T at 03:20, 28 July 2013
2013-07-28T03:20:31Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 03:20, 28 July 2013</td>
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<td colspan="2" class="diff-lineno">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td>
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<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>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{\exp}$</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>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{\exp}$</div></td>
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<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>
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<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>
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<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>$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)= </div></td>
<td class="diff-marker">+</td>
<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)=<ins class="diffchange diffchange-inline">\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm</ins> <ins class="diffchange diffchange-inline">i y)$</ins></div></td>
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<td class="diff-marker">−</td>
<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y)$</div></td>
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<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>
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<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 evaluation, the non-integer iterate of exponential is expressed through [[tetration]] tet and [[arctetration]] ate.</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 evaluation, the non-integer iterate of exponential is expressed through [[tetration]] tet and [[arctetration]] ate.</div></td>
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T
https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&diff=7125&oldid=prev
T: /* C++ generator of curves */
2013-07-28T02:59:10Z
<p><span dir="auto"><span class="autocomment">C++ generator of curves</span></span></p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 02:59, 28 July 2013</td>
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<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>==[[C++]] generator of curves==</div></td>
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<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>==[[C++]] generator of curves==</div></td>
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<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>
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<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>// Files [[ado.<del class="diffchange diffchange-inline">fin</del>]], [[conto.cin]], [[fsexp.cin]] and [[fslog.cin]] should be loaded in the working directory in order to compile the code below.</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>// Files [[ado.<ins class="diffchange diffchange-inline">cin</ins>]], [[conto.cin]], [[fsexp.cin]] and [[fslog.cin]] should be loaded in the working directory in order to compile the code below.</div></td>
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<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>
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<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> #include <math.h></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> #include <math.h></div></td>
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T
https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&diff=7124&oldid=prev
T at 02:58, 28 July 2013
2013-07-28T02:58:36Z
<p></p>
<table class="diff diff-contentalign-left" data-mw="interface">
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<col class="diff-content" />
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 02:58, 28 July 2013</td>
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<td colspan="2" class="diff-lineno">Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td>
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<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>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{exp}$</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>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{<ins class="diffchange diffchange-inline">\</ins>exp}$</div></td>
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<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>
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<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>$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)= </div></td>
<td class="diff-marker"> </td>
<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)= </div></td>
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<td colspan="2" class="diff-lineno">Line 76:</td>
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<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>
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<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>==[[Latex]] generator of labels==</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>==[[Latex]] generator of labels==</div></td>
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<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><poem></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><poem<ins class="diffchange diffchange-inline">><nomathjax><nowiki</ins>></div></td>
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<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>\documentclass[12pt]{article}</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>\documentclass[12pt]{article}</div></td>
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<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>\usepackage{geometry}</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>\usepackage{geometry}</div></td>
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<td colspan="2" class="diff-lineno">Line 87:</td>
<td colspan="2" class="diff-lineno">Line 87:</td>
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<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>\textwidth 810pt</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>\textwidth 810pt</div></td>
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<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>\topmargin -105pt</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>\topmargin -105pt</div></td>
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<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>\oddsidemargin -<del class="diffchange diffchange-inline">72pt</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>\oddsidemargin -<ins class="diffchange diffchange-inline">74pt</ins></div></td>
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<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>\pagestyle{empty}</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>\pagestyle{empty}</div></td>
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<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>\parindent 0pt</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>\parindent 0pt</div></td>
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<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>\put(620,0){\sx{2.2}{$2$}}</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>\put(620,0){\sx{2.2}{$2$}}</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>\put(720,0){\sx{2.2}{$3$}}</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>\put(720,0){\sx{2.2}{$3$}}</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>\put(<del class="diffchange diffchange-inline">810</del>,0){\sx{2.2}{$x$}}</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>\put(<ins class="diffchange diffchange-inline">811</ins>,0){\sx{2.2}{$x$}}</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>%\put(140,329){\sx{2.4}{$v\!=\!0$}}</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>%\put(140,329){\sx{2.4}{$v\!=\!0$}}</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>\put(152,358){\sx{2.4}{\rot{50} $v\!=\!-1$ \ero}}</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>\put(152,358){\sx{2.4}{\rot{50} $v\!=\!-1$ \ero}}</div></td>
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<td colspan="2" class="diff-lineno">Line 137:</td>
<td colspan="2" class="diff-lineno">Line 137:</td>
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<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>\end{picture}</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>\end{picture}</div></td>
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<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>\end{document}</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>\end{document}</div></td>
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<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></poem></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">%</nowiki></nomathjax></ins></poem></div></td>
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<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>
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<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>
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<td colspan="2" class="diff-lineno">Line 145:</td>
<td colspan="2" class="diff-lineno">Line 145:</td>
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<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>[[Category:Exponent]]</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>[[Category:Exponent]]</div></td>
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<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>[[Category:Iteration]]</div></td>
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<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>[[Category:Iteration]]</div></td>
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<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>[[Category:Iteration of exp]]</div></td>
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<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>[[Category:Latex]]</div></td>
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<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>[[Category:Logarithm]]</div></td>
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<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>[[Category:Tetration]]</div></td>
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<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>[[Category:Tetration]]</div></td>
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</table>
T
https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&diff=7123&oldid=prev
T: T uploaded a new version of "File:Exp05mapT200.jpg": shift
2013-07-28T02:56:36Z
<p>T uploaded a new version of "<a href="/t/index.php/File:Exp05mapT200.jpg" title="File:Exp05mapT200.jpg">File:Exp05mapT200.jpg</a>": shift</p>
<table class="diff diff-contentalign-left" data-mw="interface">
<tr class="diff-title" lang="en">
<td colspan="1" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #222; text-align: center;">Revision as of 02:56, 28 July 2013</td>
</tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div>
</td></tr></table>
T
https://mizugadro.mydns.jp/t/index.php?title=File:Exp05mapT200.jpg&diff=7041&oldid=prev
T: Compex map of the $0.5$th iteration (half-iteration) of exponent, $\sqrt{exp}$
$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)=
\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y)$
For the evaluation, the non-integer iterate of exponential is expressed t...
2013-07-27T01:16:30Z
<p><a href="/t/index.php?title=Compex_map&action=edit&redlink=1" class="new" title="Compex map (page does not exist)">Compex map</a> of the $0.5$th iteration (half-iteration) of <a href="/t/index.php?title=Exponent&action=edit&redlink=1" class="new" title="Exponent (page does not exist)">exponent</a>, $\sqrt{exp}$ $u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)= \mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y)$ For the evaluation, the non-integer iterate of exponential is expressed t...</p>
<p><b>New page</b></p><div>[[Compex map]] of the $0.5$th iteration (half-iteration) of [[exponent]], $\sqrt{exp}$<br />
<br />
$u+\mathrm i v= \exp^{0.5}(x+\mathrm i y)= <br />
\mathrm{tet}(0.5+\mathrm{ate}(x+\mathrm i y)$<br />
<br />
For the evaluation, the non-integer iterate of exponential is expressed through [[tetration]] tet and [[arctetration]] ate.<br />
The complex double implementations [[FSEXP]] and [[FSLOG]] are used in the [[C++]] code below. <br />
<br />
==[[C++]] generator of curves==<br />
<br />
// Files [[ado.fin]], [[conto.cin]], [[fsexp.cin]] and [[fslog.cin]] should be loaded in the working directory in order to compile the code below.<br />
<br />
#include <math.h><br />
#include <stdio.h><br />
#include <stdlib.h><br />
#define DB double<br />
#define DO(x,y) for(x=0;x<y;x++)<br />
using namespace std;<br />
#include<complex><br />
typedef complex<double> z_type;<br />
#define Re(x) x.real()<br />
#define Im(x) x.imag()<br />
#define I z_type(0.,1.)<br />
#include "conto.cin"<br />
#include "fsexp.cin"<br />
#include "fslog.cin"<br />
main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d, cu,cd;<br />
int M=401,M1=M+1;<br />
int N=403,N1=N+1;<br />
DB X[M1],Y[N1];<br />
DB *g, *f, *w; // w is working array.<br />
g=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));<br />
f=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));<br />
w=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));<br />
char v[M1*N1]; // v is working array<br />
FILE *o;o=fopen("exp09map.eps","w"); ado(o,802,402);<br />
fprintf(o,"401 1 translate\n 100 100 scale\n");<br />
fprintf(o,"1 setlinejoin 2 setlinecap\n");<br />
DO(m,M1) X[m]=-4+.02*(m-.5);<br />
DO(n,N1) { y=0.+.01*(n-.5); if(y>Im(Zo)) break; Y[n]=y; }<br />
Y[n] =Im(Zo)-.00001;<br />
Y[n+1]=Im(Zo)+.00001;<br />
for(m=n+2;m<N1;m++) Y[m]=.01*(m-2-.5);<br />
for(m=-4;m<5;m++){M(m,0) L(m,4) }<br />
for(n=0;n<5;n++){M( -4,n) L(4,n)}<br />
fprintf(o,".006 W 0 0 0 RGB S\n");<br />
DO(m,M1)DO(n,N1){ g[m*N1+n]=999; f[m*N1+n]=999;}<br />
DO(m,M1){x=X[m]; if(m/10*10==m) printf("x=%6.3f\n",x);<br />
DO(n,N1){y=Y[n]; z=z_type(x,y); //if(abs(z+2.)>.019)<br />
c=FSEXP(.5+FSLOG(z));<br />
p=Re(c); q=Im(c);// if(p>-19 && p<19 && ( x<2. || fabs(q)>1.e-12 && fabs(p)>1.e-12) )<br />
{ g[m*N1+n]=p;f[m*N1+n]=q;}<br />
}}<br />
fprintf(o,"1 setlinejoin 1 setlinecap\n"); p=2.;q=1;<br />
conto(o,g,w,v,X,Y,M,N, Re(Zo),-p,p);fprintf(o,".03 W 0 1 0 RGB S\n");<br />
conto(o,f,w,v,X,Y,M,N, Im(Zo),-p,p);fprintf(o,".03 W 0 1 0 RGB S\n");<br />
for(m=-8;m<8;m++)for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N,(m+.1*n),-q,q);fprintf(o,".007 W 0 .6 0 RGB S\n");<br />
for(m=0;m<8;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q,q);fprintf(o,".007 W .9 0 0 RGB S\n");<br />
for(m=0;m<8;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q,q);fprintf(o,".007 W 0 0 .9 RGB S\n");<br />
for(m= 1;m<17;m++) conto(o,f,w,v,X,Y,M,N, (0.-m),-q,q);fprintf(o,".02 W .8 0 0 RGB S\n");<br />
for(m= 1;m<17;m++) conto(o,f,w,v,X,Y,M,N, (0.+m),-q,q);fprintf(o,".02 W 0 0 .8 RGB S\n");<br />
conto(o,f,w,v,X,Y,M,N, (0. ),-p,p); fprintf(o,".02 W .5 0 .5 RGB S\n");<br />
for(m=-16;m<17;m++)conto(o,g,w,v,X,Y,M,N,(0.+m),-q,q);fprintf(o,".02 W 0 0 0 RGB S\n");<br />
fprintf(o,"0 setlinejoin 0 setlinecap\n");<br />
<br />
M(Re(Zo),Im(Zo))L(-4,Im(Zo)) fprintf(o,"1 1 1 RGB .022 W S\n");<br />
DO(n,40){M(Re(Zo)-.2*n,Im(Zo))L(Re(Zo)-.2*(n+.4),Im(Zo)) }<br />
fprintf(o,"0 0 0 RGB .032 W S\n");<br />
fprintf(o,"showpage\n");<br />
fprintf(o,"%c%cTrailer\n",'%','%');<br />
fclose(o); free(f); free(g); free(w);<br />
system("epstopdf exp09map.eps"); <br />
system( "open exp09map.pdf"); //for macintosh<br />
getchar(); system("killall Preview"); // For macintosh<br />
}<br />
<br />
==[[Latex]] generator of labels==<br />
<poem><br />
\documentclass[12pt]{article}<br />
\usepackage{geometry}<br />
\paperwidth 824pt<br />
\paperheight 426pt<br />
\usepackage{graphics}<br />
\usepackage{rotating}<br />
\newcommand \rot {\begin{rotate}}<br />
\newcommand \ero {\end{rotate}}<br />
\textwidth 810pt<br />
\topmargin -105pt<br />
\oddsidemargin -72pt<br />
\pagestyle{empty}<br />
\parindent 0pt<br />
\newcommand \sx {\scalebox}<br />
\begin{document}<br />
\begin{picture}(820,420)<br />
\put(20,20){\includegraphics{exp05map}}<br />
\put(4,412){\sx{2.2}{$y$}}<br />
\put(4,313){\sx{2.2}{$3$}}<br />
\put(4,213){\sx{2.2}{$2$}}<br />
\put(4,113){\sx{2.2}{$1$}}<br />
\put(4,16){\sx{2.2}{$0$}}<br />
\put(2,0){\sx{2.2}{$-4$}}<br />
\put(100,0){\sx{2.2}{$-3$}}<br />
\put(200,0){\sx{2.2}{$-2$}}<br />
\put(300,0){\sx{2.2}{$-1$}}<br />
\put(420,0){\sx{2.2}{$0$}}<br />
\put(520,0){\sx{2.2}{$1$}}<br />
\put(620,0){\sx{2.2}{$2$}}<br />
\put(720,0){\sx{2.2}{$3$}}<br />
\put(810,0){\sx{2.2}{$x$}}<br />
%\put(140,329){\sx{2.4}{$v\!=\!0$}}<br />
\put(152,358){\sx{2.4}{\rot{50} $v\!=\!-1$ \ero}}<br />
\put(255,322){\sx{2.4}{\rot{71} $v\!=\!0$ \ero}}<br />
\put(349,308){\sx{2.4}{\rot{87} $v\!=\!1$ \ero}}<br />
\put(379,308){\sx{2.4}{\rot{89} $v\!=\!\Im(L)$ \ero}}<br />
\put(126,302){\sx{2.4}{\rot{-29}$u\!=\!-1.2$\ero}}<br />
\put(108,280){\sx{2.5}{\rot{-32}$u\!=\!-1$\ero}}<br />
\put(88,256){\sx{2.4}{\rot{-35}$u\!=\!-0.8$\ero}}<br />
\put(62,226){\sx{2.4}{\rot{-36}$u\!=\!-0.6$\ero}}<br />
%<br />
\put(130,22){\sx{2.4}{\rot{ 60} $u\!=\!-0.6$ \ero}}<br />
\put(254,22){\sx{2.4}{\rot{ 64} $u\!=\!-0.4$ \ero}}<br />
\put(316,22){\sx{2.3}{\rot{ 72} $u\!=\!-0.2$ \ero}}<br />
\put(356,22){\sx{2.4}{\rot{ 75} $u\!=\!0$ \ero}}<br />
\put(398,22){\sx{2.4}{\rot{ 72} $u\!=\!\Re(L)$ \ero}}<br />
\put(477,22){\sx{2.4}{\rot{ 79} $u\!=\!1$ \ero}}<br />
\put(550,22){\sx{2.4}{\rot{ 80} $u\!=\!2$ \ero}}<br />
\put(608,22){\sx{2.4}{\rot{ 82} $u\!=\!3$ \ero}}<br />
\put(654,22){\sx{2.4}{\rot{ 83} $u\!=\!4$ \ero}}<br />
%<br />
\put(604,286){\sx{2.4}{\rot{-49} $v\!=\!5$ \ero}}<br />
\put(568,260){\sx{2.4}{\rot{-48} $v\!=\!4$ \ero}}<br />
\put(535,222){\sx{2.4}{\rot{-42} $v\!=\!3$ \ero}}<br />
\put(497,174){\sx{2.4}{\rot{-34} $v\!=\!2$ \ero}}<br />
\put(460,107){\sx{2.4}{\rot{-22} $v\!=\!1$ \ero}}<br />
%<br />
\put(56,150){\sx{2.6}{\bf cut}}<br />
\end{picture}<br />
\end{document}<br />
</poem><br />
<br />
<br />
[[Category:Arctetration]]<br />
[[Category:Complex map]]<br />
[[Category:C++]]<br />
[[Category:Exponent]]<br />
[[Category:Iteration]]<br />
[[Category:Latex]]<br />
[[Category:Tetration]]</div>
T