https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=IP_%28complexity%29 2026-04-18T02:54:53Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=IP_(complexity)&diff=241656&oldid=prev 2015-01-10T09:01:45Z

<p>Add a graphical representation of a protocol</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:01, 10 January 2015</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">In [[physics]], '''front velocity''' is the speed at which the first rise of a pulse above zero moves forward.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; 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;">Im addicted </ins>to <ins style="font-weight: bold; text-decoration: none;">my hobby Aircraft spotting</ins>. &lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">I  try to learn German </ins>in <ins style="font-weight: bold; text-decoration: none;">my spare </ins>time.&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;&lt;<ins style="font-weight: bold; text-decoration: none;">br</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">Feel free </ins>to <ins style="font-weight: bold; text-decoration: none;">visit my webpage </ins>[http://<ins style="font-weight: bold; text-decoration: none;">www</ins>.<ins style="font-weight: bold; text-decoration: none;">taqweemandmore</ins>.com/?<ins style="font-weight: bold; text-decoration: none;">p</ins>=<ins style="font-weight: bold; text-decoration: none;">59 Fifa 15 Coin Generator</ins>]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">In [[mathematics]], it is also used </del>to <del style="font-weight: bold; text-decoration: none;">describe the velocity of a possibly propagating front in the solution of [[hyperbolic partial differential equation]].</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">== Various velocities ==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">Associated with propagation of a disturbance are several different velocities</del>.&lt;<del style="font-weight: bold; text-decoration: none;">ref name="Milonni"</del>&gt;<del style="font-weight: bold; text-decoration: none;">{{cite book |title=Fast light, slow light and left-handed light |author=Peter W Milonni |url=http://books.google.com/books?id=kE8OUCvt7ecC&amp;pg=PA26 |pages=26 ''ff'' |isbn=0-7503-0926-1 |year=2004 |publisher=CRC Press}}&lt;/ref&gt; For definiteness, consider an [[amplitude modulation|amplitude modulated]] electromagnetic carrier wave. The [[phase velocity]] is the wave speed of the carrier. The [[group velocity]] is the wave speed of the modulation or [[envelope detector|envelope]]. Initially it was thought that the group velocity coincided with the speed at which ''information'' traveled. However, it turns out that this speed can exceed the speed of light </del>in <del style="font-weight: bold; text-decoration: none;">some circumstances, causing confusion by an apparent conflict with the [[theory of relativity]]. That observation led to consideration of what constitutes a ''signal''.</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">A signal involves new information or an element of 'surprise' that cannot be predicted from the wave motion at an earlier </del>time.&lt;<del style="font-weight: bold; text-decoration: none;">ref name="Milonni" /</del>&gt; <del style="font-weight: bold; text-decoration: none;">Thus, a possible form for a signal is:</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">:</del>&lt;<del style="font-weight: bold; text-decoration: none;">math</del>&gt;<del style="font-weight: bold; text-decoration: none;">f(t) = u(t) \sin \omega t \ , &lt;/math&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">where ''u(t)''  is the [[Heaviside step function]]. Using such a form for a signal, it can be shown, subject to the (expected) condition that the refractive index of any medium tends to one as the frequency tends to infinity, that the wave discontinuity, called the ''front'', propagates at a speed less than or equal </del>to <del style="font-weight: bold; text-decoration: none;">the </del>[<del style="font-weight: bold; text-decoration: none;">[speed of light]] ''c'' in any medium.&lt;ref name="Milonni" /&gt; In fact, the earliest appearance of the front (the [[precursor (physics)|precursor]]) travels at the ''front velocity'' ''c'', ''no matter what the medium''.&lt;ref name="Milonni" /&gt;&lt;ref name="Stratton"&gt;{{cite book |title=Electromagnetic theory |author=Julius Adams Stratton |url=</del>http://<del style="font-weight: bold; text-decoration: none;">books</del>.<del style="font-weight: bold; text-decoration: none;">google</del>.com/<del style="font-weight: bold; text-decoration: none;">books</del>?<del style="font-weight: bold; text-decoration: none;">id=zFeWdS2luE4C&amp;pg=PA337 |page=337 |isbn=0-470-13153-5 |publisher=Wiley/IEEE |year=2007 |edition=Classic reissue of 1941 }}&lt;/ref&gt; However, the process always starts from zero amplitude and builds up.&lt;ref name</del>=<del style="font-weight: bold; text-decoration: none;">"Stratton" /&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">== References ==</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">&lt;references/&gt;</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">{{Velocities of Waves}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">[[Category:Wave mechanics]</del>]</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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> </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; 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 style="font-weight: bold; text-decoration: none;">{{physics-stub}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

en>ProgVal https://en.formulasearchengine.com/index.php?title=IP_(complexity)&diff=10176&oldid=prev 2013-12-26T07:56:51Z

<p>Fixed links <span class="autocomment">References</span></p> <a href="https://en.formulasearchengine.com/index.php?title=IP_(complexity)&amp;diff=10176&amp;oldid=241655">Show changes</a>

en>Shitikanth https://en.formulasearchengine.com/index.php?title=IP_(complexity)&diff=241655&oldid=prev 2012-07-13T23:34:13Z

<p>ECCs</p> <a href="https://en.formulasearchengine.com/index.php?title=IP_(complexity)&amp;diff=241655">Show changes</a>

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