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	<title>Multiple-prism grating laser oscillator - Revision history</title>
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		<title>en&gt;Corrigendas: Excitation section</title>
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		<updated>2014-01-11T14:01:07Z</updated>

		<summary type="html">&lt;p&gt;Excitation section&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:01, 11 January 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If looking for a looking knife &lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Winchester Looking Knives provide good selections. They function drop point or intestine hook blades, full tang construction and both wood or Ersatz Micarta deal with scales. Take &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;more &lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http://wrestletalk.net/index.php?qa=40280&amp;amp;qa_1=best&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;everyday-carry-knife in-depth&lt;/del&gt;] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;take a look at one mannequin, the Giant Winchester Hunting Knife to get &lt;/del&gt;an &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;thought of the advantages &lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http://www.thebestpocketknifereviews.com/best-edc-knife-everyday-carry-knives/ Best Knives For Edc&lt;/del&gt;] &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;of Winchester knives This knife includes a four.83&quot; drop point mounted blade product of surgical stainless steel and naturally the Winchester etch&lt;/del&gt;. It &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;has full tang development and a wooden deal with with stainless steel bolster&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in addition &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a lined lanyard gap&lt;/del&gt;. A &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;nylon sheath &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;also included.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We like to think about the Douk-Douk Knife because the working man’s blade. It’s easy and difficult. The flat design makes it the proper travel companion while you want to toss &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;knife in your pocket, and the gunsmith-model ferro-blackened folded metal handle adds a heaping spoonful of machismo &lt;/del&gt;to a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;easy and affordable knife&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I can tend &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;delicate operations, like &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;manicure. Once you’re out in the boonies and &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;nail breaks, an excellent sharp knife blade can trim off the surplus and clean down the tough edges. It could actually additionally, delicately I must emphasize, take away the grease&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dust and fish scales &lt;/del&gt;that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lodge below your fingernails.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Al Warren - The well-known knife maker Mr. Warren exercises &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;finest techniques &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;products &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;design his merchandise that can endure &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;test of time and durability to help you to perform your duties that you just count on &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;outcomes. Arctic Circle - It will likely be clever to speculate &lt;/del&gt;on &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Arctic Circle knife liners for a high quality handmade product that [http://www&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;thebestpocketknifereviews.com/best-edc-knife-everyday-carry-knives/ best edc knife under 30] can endure &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;test &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;time. These products are really very efficient &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;your anticipating results. Rocket Knives - You&#039;re going to get glorious satisfaction with a higher appreciation from Rocket Knives And you will be helped by &quot;learn how to&quot; tutorials to know &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;knife making process with enough satisfaction.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Anyone who has ever completed much tenting will tell you that like another exercise there are particular &quot;instruments &lt;/del&gt;of the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;commerce&quot; that one must have with the intention to have a successful trip. In any case, a chef would not attempt to organize a gourmet meal with no professional set of knives , utensils, pans, and so &lt;/del&gt;on. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;One of the most important of those &quot;tools&quot; &lt;/del&gt;is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pocket knife Below is my record &lt;/del&gt;of the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;highest 5 greatest uses on your pocket knife while camping this summer time&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;They&#039;re usually rather a lot more durable &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sharpen with &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;acute hardness&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and it needs to be carried out with a diamond grinder or diamond hone.&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;When searching for the most effective pocket knife&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you will need to realize that the perfect knife is not the identical for each individual. The proper knife for me might not be good for you, as a result of the way in which I exploit my knife is likely to be different than the [http:&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/en.wiktionary.org/wiki/pocketknife personalized pocket knives] way you employ yours. Accordingly&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;to identify your needs in a knife&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;we must first establish your supposed use. There are numerous sorts and types of Swiss Army knives every &lt;/del&gt;with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;its own software mixture for a particular duties. The Swiss Army&lt;/del&gt;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s knife has a corrugated steel surface with a crimson emblem and adorns a blade&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a reamer, a bottle-opener&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;screwdriver&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;wire stripper, and a can-opener/screwdriver.&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In the United Kingdom it is illegal to carry a knife having a blade greater than 3 inches &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;seventy six mm) in size in public &lt;/del&gt;with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;out &quot;good cause&quot;. The phrases &quot;&lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;public&quot; and &quot;good cause&quot; should not defined, however examples &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;spiritual responsibility&quot;, &quot;national dress&quot; &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;requirement of employment or hobby&quot; are given. It is left up to a police officer&lt;/del&gt;&#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s individual subjective discretion&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and ultimately a justice of the peace to decide if a knife is being carried &quot;in public&quot;, and for a &quot;good reason&quot;. The onus lies on the officer to prove that intent.&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;br&amp;gt;The legality of these knives differs for nation to nation. Although many country’s banned them and plenty of extra have very strict laws&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you may carry them in some nation’s. Within the United States you cannot carry them on federal lands&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Indian reservations&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;military bases&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or Washington DC. The Act that limits switchblades also limits Ballistic knives However other then that the federal government leaves the rest of the decision making to the person states. I watch  and he’s my favourite character. He’s got loads of money so he can purchase no matter he wants&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but this is one thing that I handmade.”&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;check that the gasket is correctly seated around the perimeter of the back&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;after which reattach the again onto the watch. This is very simple on each kinds of watches&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;however you could have trouble with some snap-on backs &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;place the again cowl is a extremely tight match. No matter you do, do not press down on the face of the crystal. Discover a approach to maintain the crystal freed from any strain by putting the watch &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a vise (padded with fabric or rubber to stop scratching) in order that the drive is being utilized to the sides of the watch case solely.&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now the above footage are some from my personnel assortment, however let’s speak about brands&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;At the start, I like Leatherman&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I grew up on television and film units and crew members who I would hang around with always had a Leatherman on their hip&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;They&#039;re kinda like the Swiss Military knives we all grew up with&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I even have grown keen on those once more, just lately&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Swiss Army opened a retailer within the Beverly Heart and I found myself in there a number of times shopping to see what pocketable pieces of coolness they&#039;ve to offer&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;However so far as an ideal instrument, I nonetheless love my Leatherman&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In mathematics&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;KR-theory&#039;&#039;&#039; is &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;variant of &lt;/ins&gt;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[topological K&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;theory]&lt;/ins&gt;] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;defined for spaces with &lt;/ins&gt;an [&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[involution (mathematics)|involution]&lt;/ins&gt;]. It &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;was introduced by {{harvtxt|Atiyah|1966}}&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;motivated by applications &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the  [[Atiyah–Singer index theorem]] for real elliptic operators&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Definition==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;A &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;real space&#039;&#039; &lt;/ins&gt;is a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;defined &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[topological space]] with an involution&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A real [[vector bundle]] over a real space &#039;&#039;X&#039;&#039; is defined &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;complex vector bundle &#039;&#039;E&#039;&#039; over &#039;&#039;X&#039;&#039; that is also &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;real space&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;such &lt;/ins&gt;that the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;natural maps from &#039;&#039;E&#039;&#039; to &#039;&#039;X&#039;&#039; &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;from &#039;&#039;&#039;C&#039;&#039;&#039;&amp;amp;times;&#039;&#039;E&#039;&#039; &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;E&#039;&#039; commute with &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;involution, where &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;involution acts as complex conjugation &lt;/ins&gt;on &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;C&#039;&#039;&#039;&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(This differs from &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;notion &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a complex vector bundle &lt;/ins&gt;in the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;category &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;Z&#039;&#039;&#039;/2&#039;&#039;&#039;Z&#039;&#039;&#039; spaces, where &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;involution acts trivially &lt;/ins&gt;on &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;C&#039;&#039;&#039;&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The group &#039;&#039;KR&#039;&#039;(&#039;&#039;X&#039;&#039;) &lt;/ins&gt;is the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Grothendieck group]] &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;finite-dimensional real vector bundles over &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;real space &#039;&#039;X&#039;&#039;&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Periodicity==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Similarly &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Bott periodicity]], &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;periodicity theorem for &#039;&#039;KR&#039;&#039; states that &#039;&#039;KR&#039;&#039;&amp;lt;sup&amp;gt;&#039;&#039;p&#039;&#039;&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;q&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/sup&lt;/ins&gt;&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &#039;&#039;KR&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;p&#039;&#039;+1&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;q&#039;&#039;+1&amp;lt;&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&amp;gt;&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;where &#039;&#039;KR&#039;&#039;&amp;lt;sup&amp;gt;&#039;&#039;p&#039;&#039;&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;q&#039;&#039;&amp;lt;/sup&amp;gt; is suspension &lt;/ins&gt;with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;respect to &#039;&#039;R&#039;&#039;&amp;lt;sup&amp;gt;&#039;&#039;p&#039;&lt;/ins&gt;&#039;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;q&#039;&#039;&amp;lt;&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&amp;gt; =&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;&#039;R&#039;&#039;&#039;&amp;lt;sup&amp;gt;&#039;&#039;q&#039;&#039;&amp;lt;&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&amp;gt; + i&#039;&#039;&#039;R&#039;&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;p&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/sup&lt;/ins&gt;&amp;gt; (with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a switch &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the order &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;p&#039;&#039; &lt;/ins&gt;and &#039;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;q&#039;&#039;)&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;given by&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;KR^{p,q}(X&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Y) = KR(X\times B^{p&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;q}&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;X\times S^{p&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;q}\cup Y\times B^{p&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;q})&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/ins&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and &#039;&#039;B&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;p&#039;&#039;&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;q&#039;&#039;&amp;lt;/sup&amp;gt;&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;S&#039;&#039;&amp;lt;sup&amp;gt;&#039;&#039;p&#039;&#039;&lt;/ins&gt;,&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;q&#039;&#039;&amp;lt;/sup&amp;gt; are &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;unit ball and sphere  &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;R&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;p&#039;&#039;,&#039;&#039;q&#039;&#039;&lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/sup&lt;/ins&gt;&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==References==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*{{Citation | last1=Atiyah | first1=Michael Francis | author1-link=Michael Atiyah | title=K-theory and reality | url=http://qjmath.oxfordjournals&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;org/cgi/reprint/17/1/367 | mr=0206940 | year=1966 | journal=The Quarterly Journal of Mathematics&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Oxford&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Second Series | issn=0033-5606 | volume=17 | pages=367–386 | doi=10&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1093/qmath/17&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;367 | issue=1}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:K-theory]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>en&gt;Corrigendas</name></author>
	</entry>
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		<title>129.78.32.21 at 02:54, 7 February 2012</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Multiple-prism_grating_laser_oscillator&amp;diff=267489&amp;oldid=prev"/>
		<updated>2012-02-07T02:54:31Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;If looking for a looking knife , Winchester Looking Knives provide good selections. They function drop point or intestine hook blades, full tang construction and both wood or Ersatz Micarta deal with scales. Take a more [http://wrestletalk.net/index.php?qa=40280&amp;amp;qa_1=best-everyday-carry-knife in-depth] take a look at one mannequin, the Giant Winchester Hunting Knife to get an thought of the advantages [http://www.thebestpocketknifereviews.com/best-edc-knife-everyday-carry-knives/ Best Knives For Edc] of Winchester knives This knife includes a four.83&amp;quot; drop point mounted blade product of surgical stainless steel and naturally the Winchester etch. It has full tang development and a wooden deal with with stainless steel bolster, in addition to a lined lanyard gap. A nylon sheath is also included.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We like to think about the Douk-Douk Knife because the working man’s blade. It’s easy and difficult. The flat design makes it the proper travel companion while you want to toss a knife in your pocket, and the gunsmith-model ferro-blackened folded metal handle adds a heaping spoonful of machismo to a easy and affordable knife. I can tend to delicate operations, like a manicure. Once you’re out in the boonies and a nail breaks, an excellent sharp knife blade can trim off the surplus and clean down the tough edges. It could actually additionally, delicately I must emphasize, take away the grease, dust and fish scales that lodge below your fingernails.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Al Warren - The well-known knife maker Mr. Warren exercises the finest techniques and products to design his merchandise that can endure the test of time and durability to help you to perform your duties that you just count on the outcomes. Arctic Circle - It will likely be clever to speculate on Arctic Circle knife liners for a high quality handmade product that [http://www.thebestpocketknifereviews.com/best-edc-knife-everyday-carry-knives/ best edc knife under 30] can endure the test of time. These products are really very efficient in your anticipating results. Rocket Knives - You&amp;#039;re going to get glorious satisfaction with a higher appreciation from Rocket Knives And you will be helped by &amp;quot;learn how to&amp;quot; tutorials to know the knife making process with enough satisfaction.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Anyone who has ever completed much tenting will tell you that like another exercise there are particular &amp;quot;instruments of the commerce&amp;quot; that one must have with the intention to have a successful trip. In any case, a chef would not attempt to organize a gourmet meal with no professional set of knives , utensils, pans, and so on. One of the most important of those &amp;quot;tools&amp;quot; is the pocket knife Below is my record of the highest 5 greatest uses on your pocket knife while camping this summer time. They&amp;#039;re usually rather a lot more durable to sharpen with the acute hardness, and it needs to be carried out with a diamond grinder or diamond hone.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;When searching for the most effective pocket knife, you will need to realize that the perfect knife is not the identical for each individual. The proper knife for me might not be good for you, as a result of the way in which I exploit my knife is likely to be different than the [http://en.wiktionary.org/wiki/pocketknife personalized pocket knives] way you employ yours. Accordingly, to identify your needs in a knife, we must first establish your supposed use. There are numerous sorts and types of Swiss Army knives every with its own software mixture for a particular duties. The Swiss Army&amp;#039;s knife has a corrugated steel surface with a crimson emblem and adorns a blade, a reamer, a bottle-opener/screwdriver/wire stripper, and a can-opener/screwdriver.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;In the United Kingdom it is illegal to carry a knife having a blade greater than 3 inches (seventy six mm) in size in public with out &amp;quot;good cause&amp;quot;. The phrases &amp;quot;in public&amp;quot; and &amp;quot;good cause&amp;quot; should not defined, however examples of &amp;quot;spiritual responsibility&amp;quot;, &amp;quot;national dress&amp;quot; and &amp;quot;requirement of employment or hobby&amp;quot; are given. It is left up to a police officer&amp;#039;s individual subjective discretion, and ultimately a justice of the peace to decide if a knife is being carried &amp;quot;in public&amp;quot;, and for a &amp;quot;good reason&amp;quot;. The onus lies on the officer to prove that intent.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The legality of these knives differs for nation to nation. Although many country’s banned them and plenty of extra have very strict laws, you may carry them in some nation’s. Within the United States you cannot carry them on federal lands, Indian reservations, military bases, or Washington DC. The Act that limits switchblades also limits Ballistic knives However other then that the federal government leaves the rest of the decision making to the person states. I watch  and he’s my favourite character. He’s got loads of money so he can purchase no matter he wants, but this is one thing that I handmade.”&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Now, check that the gasket is correctly seated around the perimeter of the back, after which reattach the again onto the watch. 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Swiss Army opened a retailer within the Beverly Heart and I found myself in there a number of times shopping to see what pocketable pieces of coolness they&amp;#039;ve to offer. However so far as an ideal instrument, I nonetheless love my Leatherman.&lt;/div&gt;</summary>
		<author><name>129.78.32.21</name></author>
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