https://en.formulasearchengine.com/index.php?title=Detection_theory&feed=atom&action=historyDetection theory - Revision history2024-03-29T07:14:13ZRevision history for this page on the wikiMediaWiki 1.42.0-wmf.5https://en.formulasearchengine.com/index.php?title=Detection_theory&diff=236687&oldid=preven>Defpo at 17:26, 14 December 20142014-12-14T17:26:04Z<p></p>
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<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;">The author </del>is <del style="font-weight: bold; text-decoration: none;">known </del>as <del style="font-weight: bold; text-decoration: none;">Irwin</del>. <del style="font-weight: bold; text-decoration: none;">Bookkeeping </del>is <del style="font-weight: bold; text-decoration: none;">her day job now</del>. <del style="font-weight: bold; text-decoration: none;">To collect cash </del>is <del style="font-weight: bold; text-decoration: none;">what her family </del>and <del style="font-weight: bold; text-decoration: none;">her enjoy. Minnesota has usually been his house but his spouse desires them to transfer</del>.<br><br>My <del style="font-weight: bold; text-decoration: none;">blog post </del>- <del style="font-weight: bold; text-decoration: none;">home std test kit (</del>[http://www.<del style="font-weight: bold; text-decoration: none;">blaze16</del>.com/blog/<del style="font-weight: bold; text-decoration: none;">188254 why not try here</del>]<del style="font-weight: bold; text-decoration: none;">)</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;">Luke </ins>is <ins style="font-weight: bold; text-decoration: none;">a celebrity from the making </ins>as <ins style="font-weight: bold; text-decoration: none;">well as occupation development [http://lukebryantickets</ins>.<ins style="font-weight: bold; text-decoration: none;">pyhgy.com jason aldean concert] very first second to his 3rd stadium record, & , </ins>is <ins style="font-weight: bold; text-decoration: none;">definitely the confirmation</ins>. <ins style="font-weight: bold; text-decoration: none;">He broken on the scene in 2002 together with his funny combination of down-residence accessibility, motion picture star very good looks and lyrics, </ins>is <ins style="font-weight: bold; text-decoration: none;">set t within a main way. The newest recor on the nation chart </ins>and <ins style="font-weight: bold; text-decoration: none;">#2 on the take charts, making it the second greatest very first during that time of 2005 for any region artist</ins>. <br><br><ins style="font-weight: bold; text-decoration: none;">The kid of any , is aware perseverance and willpower [http://lukebryantickets.iczmpbangladesh.org luke bryan concert ticket] are key elements with regards to a successful job- . His first record, Stay Me, generated the Top strikes “All </ins>My <ins style="font-weight: bold; text-decoration: none;">Pals “Country and Say” Guy,” when his energy, Doin’ Thing, located the artist</ins>-<ins style="font-weight: bold; text-decoration: none;">a few straight No. 6 </ins>[http://www.<ins style="font-weight: bold; text-decoration: none;">banburycrossonline</ins>.com <ins style="font-weight: bold; text-decoration: none;">luke bryan cheap concert tickets] men and women: Different Contacting Is often a Very good Factor.”<br><br>During the slip of 2015, Tour: Bryan And that have an outstanding listing of , including Urban. “It’s almost like you’re receiving a authorization to look to the next level, claims these musicians [http:</ins>/<ins style="font-weight: bold; text-decoration: none;">/minioasis.com tour dates for luke bryan] that had been an element of the Concertsmore than in a larger level of artists.” It wrapped as among the most successful trips in their 15-calendar year historical past.<br><br>My </ins>blog<ins style="font-weight: bold; text-decoration: none;">; [http:</ins>/<ins style="font-weight: bold; text-decoration: none;">/lukebryantickets.neodga.com luke bryan tour 2014 dates</ins>]</div></td></tr>
</table>en>Defpohttps://en.formulasearchengine.com/index.php?title=Detection_theory&diff=236686&oldid=preven>BD2412: Fixing links to disambiguation pages using AWB2014-02-24T15:46:59Z<p>Fixing <a href="https://en.wikipedia.org/wiki/Disambiguation_pages_with_links" class="extiw" title="wikipedia:Disambiguation pages with links">links to disambiguation pages</a> using <a href="/index.php?title=Testwiki:AWB&action=edit&redlink=1" class="new" title="Testwiki:AWB (page does not exist)">AWB</a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:46, 24 February 2014</td>
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<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;">{{Other uses}}</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>The <ins style="font-weight: bold; text-decoration: none;">author </ins>is known as <ins style="font-weight: bold; text-decoration: none;">Irwin</ins>. <ins style="font-weight: bold; text-decoration: none;">Bookkeeping </ins>is <ins style="font-weight: bold; text-decoration: none;">her day job now</ins>. <ins style="font-weight: bold; text-decoration: none;">To collect cash </ins>is <ins style="font-weight: bold; text-decoration: none;">what her family </ins>and <ins style="font-weight: bold; text-decoration: none;">her enjoy</ins>. <ins style="font-weight: bold; text-decoration: none;">Minnesota has </ins>usually <ins style="font-weight: bold; text-decoration: none;">been his house but his spouse desires </ins>them <ins style="font-weight: bold; text-decoration: none;">to transfer</ins>.<<ins style="font-weight: bold; text-decoration: none;">br</ins>><<ins style="font-weight: bold; text-decoration: none;">br</ins>><ins style="font-weight: bold; text-decoration: none;">My blog post - home std test kit ([http:</ins>//<ins style="font-weight: bold; text-decoration: none;">www.blaze16</ins>.<ins style="font-weight: bold; text-decoration: none;">com/blog/188254 why not try here</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><del style="font-weight: bold; text-decoration: none;">{{Unreferenced|date=December 2009}}</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;">[[File:Rolling Racers - Moment of inertia.ogv|thumb|400px|right|Four objects racing down a plane while rolling without slipping. From back to front: spherical shell (red), solid sphere (orange), cylindrical ring (green) and solid cylinder (blue). </del>The <del style="font-weight: bold; text-decoration: none;">time for each object to reach the finishing line depends on their [[moment of inertia]] around the rolling axis. ([[:File:Rolling Racers - Moment of inertia.ogv|Details]], [[:File:Rolling Racers - Moment of inertia.gif|Animated GIF version]])]]</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;">'''Rolling''' is a [[Motion (physics)#Types of motion|type of motion]] that combines [[rotation]] (commonly, of an [[Axial symmetry|axially symmetric]] object) and [[Translation (geometry)|translation]] of that object with respect to a surface (either one or the other moves), such that, if ideal conditions exist, the two are in contact with each other without [[sliding (motion)|sliding]].</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;">Rolling is achieved by a rotational speed at the line or point of contact which is equal to the translational speed. When no sliding takes place the rolling motion is referred to as 'pure rolling'. In practice, due to small deformations at the contact area, some sliding does occur. Nevertheless, [[rolling resistance]] </del>is <del style="font-weight: bold; text-decoration: none;">much lower than [[friction|sliding friction]], and thus, rolling objects, typically require much less [[energy]] to be moved than sliding ones. As a result, such objects will more easily move, if they experience a force with a component along the surface, for instance gravity on a tilted surface; wind; pushing; pulling; an engine. Unlike most axially symmetrical objects, the [[rolling cone motion|rolling motion of a cone]] is such that while rolling on a flat surface, its [[center of gravity]] performs a [[circular motion]], rather than a [[linear motion|linear]] one. Rolling objects are not necessarily axially-symmetrical. Two well </del>known <del style="font-weight: bold; text-decoration: none;">non-axially-symmetrical rollers are the [[Reuleaux triangle]] and the [[Reuleaux tetrahedron|Meissner bodies]]. Objects with corners, such </del>as <del style="font-weight: bold; text-decoration: none;">[[dice]], roll by successive rotations about the edge or corner which is in contact with the surface</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;">One of the most practical applications of rolling objects </del>is <del style="font-weight: bold; text-decoration: none;">the use of [[Rolling-element bearing]]s, such as [[ball bearings]], in rotating devices. Made of a smooth metal substance, the rolling elements are usually encased between two rings that can rotate independently of each other. In most mechanisms, the inner ring is attached to a stationary shaft (or axle). Thus, while the inner ring is stationary, the outer ring is free to move with very little [[friction]]</del>. <del style="font-weight: bold; text-decoration: none;">This </del>is <del style="font-weight: bold; text-decoration: none;">the basis for which almost all [[electric motor|motors]] (such as those found in ceiling fans, cars, drills, etc.) rely on to operate. The amount of friction on the mechanism's parts depends on the quality of the ball bearings </del>and <del style="font-weight: bold; text-decoration: none;">how much lubrication is in the mechanism.</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;">Rolling objects are also frequently used as [[tools]] for [[transportation]]</del>. <del style="font-weight: bold; text-decoration: none;">One of the most basic ways is by placing a (</del>usually <del style="font-weight: bold; text-decoration: none;">flat) object on a series of lined-up rollers, or [[wheel]]s. The object on the wheels can be moved along </del>them <del style="font-weight: bold; text-decoration: none;">in a straight line, as long as the wheels are continuously replaced in the front (see [[bearing (mechanical)#History and development|history of bearings]])</del>. <del style="font-weight: bold; text-decoration: none;">This method of primitive transportation is efficient when no other machinery is available. Today, the most practical application of objects on wheels are [[cars]], [[trains]], and other human transportation vehicles.</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;">The velocity of a particle in the rolling object is given by: </del><<del style="font-weight: bold; text-decoration: none;">math</del>><del style="font-weight: bold; text-decoration: none;">\mathrm{v}=r\times\omega</del><<del style="font-weight: bold; text-decoration: none;">/math</del>><del style="font-weight: bold; text-decoration: none;">, where <math>r<</del>/<del style="font-weight: bold; text-decoration: none;">math> is the distance between the particle and the rolling object's contact point (or line) with the surface, and <math>\omega<</del>/<del style="font-weight: bold; text-decoration: none;">math> is the rolling object's angular velocity</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;">==See also==</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;">* [[Rolling resistance]]</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;">* [[Frictional_contact_mechanics#Solution_of_rolling_contact_problems|Frictional contact mechanics: Rolling contact]</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;">* [[Terrestrial_locomotion_in_animals#Rolling|Terrestrial locomotion in animals: Rolling]]</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;">* [[Tumbling (gymnastics</del>)<del style="font-weight: bold; text-decoration: none;">]]</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;">[[Category:Rotation]]</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;">[[ar:التدحرج]]</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;">[[he:ערגול]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
</table>en>BD2412https://en.formulasearchengine.com/index.php?title=Detection_theory&diff=7722&oldid=prev129.196.226.81: And another...2014-01-17T19:02:29Z<p>And another...</p>
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<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;">Oscar </del>is <del style="font-weight: bold; text-decoration: none;">what my wife loves </del>to <del style="font-weight: bold; text-decoration: none;">call me </del>and <del style="font-weight: bold; text-decoration: none;">I completely dig </del>that <del style="font-weight: bold; text-decoration: none;">title</del>. <del style="font-weight: bold; text-decoration: none;">To collect coins </del>is <del style="font-weight: bold; text-decoration: none;">what his family members and him enjoy</del>. <del style="font-weight: bold; text-decoration: none;">For many years he</del>'s <del style="font-weight: bold; text-decoration: none;">been operating </del>as a <del style="font-weight: bold; text-decoration: none;">meter reader and it'</del>s <del style="font-weight: bold; text-decoration: none;">something he really enjoy</del>. <del style="font-weight: bold; text-decoration: none;">Years ago we </del>moved <del style="font-weight: bold; text-decoration: none;">to North Dakota</del>.<<del style="font-weight: bold; text-decoration: none;">br</del>><<del style="font-weight: bold; text-decoration: none;">br</del>><del style="font-weight: bold; text-decoration: none;">my webpage</del>: <del style="font-weight: bold; text-decoration: none;">meal delivery service </del>([<del style="font-weight: bold; text-decoration: none;">http</del>:<del style="font-weight: bold; text-decoration: none;">//Burx.de/diettogo30380 click through the following article</del>]<del style="font-weight: bold; text-decoration: none;">)</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;">{{Other uses}}</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">{{Unreferenced|date=December 2009}}</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">[[File:Rolling Racers - Moment of inertia.ogv|thumb|400px|right|Four objects racing down a plane while rolling without slipping. From back to front: spherical shell (red), solid sphere (orange), cylindrical ring (green) and solid cylinder (blue). The time for each object to reach the finishing line depends on their [[moment of inertia]] around the rolling axis. ([[:File:Rolling Racers - Moment of inertia.ogv|Details]], [[:File:Rolling Racers - Moment of inertia.gif|Animated GIF version]])]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">'''Rolling''' </ins>is <ins style="font-weight: bold; text-decoration: none;">a [[Motion (physics)#Types of motion|type of motion]] that combines [[rotation]] (commonly, of an [[Axial symmetry|axially symmetric]] object) and [[Translation (geometry)|translation]] of that object with respect </ins>to <ins style="font-weight: bold; text-decoration: none;">a surface (either one or the other moves), such that, if ideal conditions exist, the two are in contact with each other without [[sliding (motion)|sliding]].</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">Rolling is achieved by a rotational speed at the line or point of contact which is equal to the translational speed. When no sliding takes place the rolling motion is referred to as 'pure rolling'. In practice, due to small deformations at the contact area, some sliding does occur. Nevertheless, [[rolling resistance]] is much lower than [[friction|sliding friction]], </ins>and <ins style="font-weight: bold; text-decoration: none;">thus, rolling objects, typically require much less [[energy]] to be moved than sliding ones. As a result, such objects will more easily move, if they experience a force with a component along the surface, for instance gravity on a tilted surface; wind; pushing; pulling; an engine. Unlike most axially symmetrical objects, the [[rolling cone motion|rolling motion of a cone]] is such </ins>that <ins style="font-weight: bold; text-decoration: none;">while rolling on a flat surface, its [[center of gravity]] performs a [[circular motion]], rather than a [[linear motion|linear]] one</ins>. <ins style="font-weight: bold; text-decoration: none;">Rolling objects are not necessarily axially-symmetrical. Two well known non-axially-symmetrical rollers are the [[Reuleaux triangle]] and the [[Reuleaux tetrahedron|Meissner bodies]]. Objects with corners, such as [[dice]], roll by successive rotations about the edge or corner which </ins>is <ins style="font-weight: bold; text-decoration: none;">in contact with the surface.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">One of the most practical applications of rolling objects is the use of [[Rolling-element bearing]]s, such as [[ball bearings]], in rotating devices. Made of a smooth metal substance, the rolling elements are usually encased between two rings that can rotate independently of each other. In most mechanisms, the inner ring is attached to a stationary shaft (or axle). Thus, while the inner ring is stationary, the outer ring is free to move with very little [[friction]]. This is the basis for which almost all [[electric motor|motors]] (such as those found in ceiling fans, cars, drills, etc.) rely on to operate</ins>. <ins style="font-weight: bold; text-decoration: none;">The amount of friction on the mechanism</ins>'s <ins style="font-weight: bold; text-decoration: none;">parts depends on the quality of the ball bearings and how much lubrication is in the mechanism.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">Rolling objects are also frequently used </ins>as <ins style="font-weight: bold; text-decoration: none;">[[tools]] for [[transportation]]. One of the most basic ways is by placing </ins>a <ins style="font-weight: bold; text-decoration: none;">(usually flat) object on a series of lined-up rollers, or [[wheel]]</ins>s. <ins style="font-weight: bold; text-decoration: none;"> The object on the wheels can be </ins>moved <ins style="font-weight: bold; text-decoration: none;">along them in a straight line, as long as the wheels are continuously replaced in the front (see [[bearing (mechanical)#History and development|history of bearings]]). This method of primitive transportation is efficient when no other machinery is available. Today, the most practical application of objects on wheels are [[cars]], [[trains]], and other human transportation vehicles</ins>.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">The velocity of a particle in the rolling object is given by: <math>\mathrm{v}=r\times\omega</math>, where <math>r</math> is the distance between the particle and the rolling object's contact point (or line) with the surface, and </ins><<ins style="font-weight: bold; text-decoration: none;">math</ins>><ins style="font-weight: bold; text-decoration: none;">\omega</ins><<ins style="font-weight: bold; text-decoration: none;">/math</ins>> <ins style="font-weight: bold; text-decoration: none;"> is the rolling object's angular velocity.</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">==See also==</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">* [[Rolling resistance]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">* [[Frictional_contact_mechanics#Solution_of_rolling_contact_problems|Frictional contact mechanics: Rolling contact]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">* [[Terrestrial_locomotion_in_animals#Rolling|Terrestrial locomotion in animals</ins>: <ins style="font-weight: bold; text-decoration: none;">Rolling]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">* [[Tumbling </ins>(<ins style="font-weight: bold; text-decoration: none;">gymnastics)]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">[</ins>[<ins style="font-weight: bold; text-decoration: none;">Category</ins>:<ins style="font-weight: bold; text-decoration: none;">Rotation]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">[[ar:التدحرج]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></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;">[[he:ערגול]</ins>]</div></td></tr>
</table>129.196.226.81https://en.formulasearchengine.com/index.php?title=Detection_theory&diff=236685&oldid=preven>EleferenBot: r2.7.3) (Robot: Adding ru:Обнаружение сигнала2012-07-20T17:58:07Z<p>r2.7.3) (Robot: Adding <a href="/index.php?title=Ru:%D0%9E%D0%B1%D0%BD%D0%B0%D1%80%D1%83%D0%B6%D0%B5%D0%BD%D0%B8%D0%B5_%D1%81%D0%B8%D0%B3%D0%BD%D0%B0%D0%BB%D0%B0&action=edit&redlink=1" class="new" title="Ru:Обнаружение сигнала (page does not exist)">ru:Обнаружение сигнала</a></p>
<p><b>New page</b></p><div>Oscar is what my wife loves to call me and I completely dig that title. To collect coins is what his family members and him enjoy. For many years he's been operating as a meter reader and it's something he really enjoy. Years ago we moved to North Dakota.<br><br>my webpage: meal delivery service ([http://Burx.de/diettogo30380 click through the following article])</div>en>EleferenBot