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	<title>The Term shear Originates From Physics - Revision history</title>
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		<title>ModestoFarnham at 20:52, 7 September 2025</title>
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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 20:52, 7 September 2025&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;
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&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;&amp;lt;br&amp;gt;This sort of mapping &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can &lt;/del&gt;also &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be referred to &lt;/del&gt;as shear transformation, transvection, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://wikigranny.com/wiki/index.php/You_re_Three_Decisions_Away Wood Ranger brand shears] &lt;/del&gt;or &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;simply &lt;/del&gt;shearing. The transformations will be &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;applied &lt;/del&gt;with a shear matrix or transvection, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://koessler-lehrerlexikon.ub.uni-giessen.de/wiki/It_Was_Founded_In_Masterton Wood Ranger brand shears] &lt;/del&gt;an elementary matrix that represents the addition of a a number of of one row or column to a different. Such a matrix &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;may &lt;/del&gt;be derived by taking the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;id &lt;/del&gt;matrix and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;replacing &lt;/del&gt;one of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the &lt;/del&gt;zero &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;elements &lt;/del&gt;with a non-zero &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;value&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In &lt;/del&gt;this case, the displacement is horizontal by a factor of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2 &lt;/del&gt;the place the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fixed &lt;/del&gt;line is the x-axis, and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://miduohuyu.com/camillastoddar/camilla1981/wiki/What%27s-one-of-the-Best-%3F Wood Ranger Power Shears website] &lt;/del&gt;the signed distance is the y-coordinate. Note that points on &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reverse &lt;/del&gt;sides of the reference line are displaced in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reverse directions&lt;/del&gt;. Shear mappings &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;should &lt;/del&gt;not be confused with rotations. Applying a shear map to a set of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;factors &lt;/del&gt;of the airplane will change all angles between them (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;except &lt;/del&gt;straight angles), and the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;length &lt;/del&gt;of any line segment that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;isn&lt;/del&gt;&amp;#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t &lt;/del&gt;parallel to the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;route &lt;/del&gt;of displacement. Therefore, it&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;#039;ll usually &lt;/del&gt;distort the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;shape &lt;/del&gt;of a geometric &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;figure&lt;/del&gt;, for &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;instance &lt;/del&gt;turning squares into parallelograms, and circles into ellipses.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;However a shearing does preserve the area of geometric figures and the alignment and relative distances of collinear points. A shear mapping is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;principle distinction &lt;/del&gt;between the upright and slanted (or italic) styles of letters. The &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;identical &lt;/del&gt;definition is used in three-dimensional geometry, except that the gap is measured from a hard and fast &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;aircraft&lt;/del&gt;. A three-dimensional shearing transformation preserves the amount of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;strong &lt;/del&gt;figures, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;however modifications &lt;/del&gt;areas of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;plane &lt;/del&gt;figures (&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;besides those that are &lt;/del&gt;parallel to the displacement). This transformation is used to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;explain &lt;/del&gt;laminar movement of a fluid between plates, one &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;transferring &lt;/del&gt;in a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;aircraft &lt;/del&gt;above and parallel to the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;primary&lt;/del&gt;. The &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;impact &lt;/del&gt;of this mapping is to displace &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;every level &lt;/del&gt;horizontally by an quantity proportionally to its y-coordinate. The &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;world&lt;/del&gt;-preserving property of a shear mapping can be used for outcomes involving &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;space&lt;/del&gt;. Shear matrices are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;often &lt;/del&gt;used in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;computer &lt;/del&gt;graphics. An algorithm as a result of Alan W. Paeth &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;uses &lt;/del&gt;a sequence of three shear mappings (horizontal, vertical, then horizontal once more) to rotate a digital &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;image &lt;/del&gt;by an arbitrary angle.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The algorithm is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;quite &lt;/del&gt;simple to implement, and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;very efficient&lt;/del&gt;, since &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;every &lt;/del&gt;step processes only one column or one row of pixels at a time. In typography, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;regular &lt;/del&gt;textual content &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;remodeled &lt;/del&gt;by a shear mapping &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ends &lt;/del&gt;in oblique &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;kind&lt;/del&gt;. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings known as Galilean transformations. These are additionally &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;typically &lt;/del&gt;seen when describing &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;moving &lt;/del&gt;reference frames relative to a &amp;quot;most popular&amp;quot; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;body&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;generally &lt;/del&gt;known as absolute time and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;area&lt;/del&gt;. The time period &amp;#039;shear&amp;#039; originates from Physics, used to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;describe &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;chopping&lt;/del&gt;-like deformation &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;during which &lt;/del&gt;parallel layers of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;material &lt;/del&gt;&amp;#039;slide previous &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;one another&lt;/del&gt;&amp;#039;. More formally, shear pressure refers to unaligned forces &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;performing &lt;/del&gt;on one part of a physique in a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;specific direction, and one other a part of the body in the alternative direction. Weisstein&lt;/del&gt;,  [https://&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dirtydeleted&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;net&lt;/del&gt;/index.php&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/Should_You_Choose_Double-Cut_Shears_Or_Single-Cut_Shears Wood Ranger Power Shears website&lt;/del&gt;] Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;keeping &lt;/del&gt;with Weisstein. Clifford, William Kingdon (1885). Common Sense and the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;exact &lt;/del&gt;Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;using &lt;/del&gt;GeoGebra. Drag the sliders to observe the [https://&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dev&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;neos&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;epss.ucla.edu/wiki&lt;/del&gt;/index.php?title=User:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;RosieFonseca Wood Ranger brand &lt;/del&gt;shears]. Foley et al. (1991, pp. Schneider, Philip J.; Eberly, David H. (2002). Geometric Tools for Computer Graphics. Desai, Apueva A. (22 October 2008). Computer Graphics. PHI Learning Pvt. pp. Paeth, A.W. (1986). &amp;quot;A fast Algorithm for General Raster Rotation&amp;quot; (PDF).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;One supply &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;suggests &lt;/del&gt;that atgeirr, kesja, and höggspjót all &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;refer to &lt;/del&gt;the identical weapon. A &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;extra &lt;/del&gt;cautious reading of the saga texts doesn&amp;#039;t support this idea. The saga textual content suggests similarities between atgeirr and kesja, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that &lt;/del&gt;are primarily used for thrusting, and between höggspjót and bryntröll, which have been primarily used for &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cutting&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Regardless of &lt;/del&gt;the weapons might &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;need &lt;/del&gt;been, they seem to have been more &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;practical&lt;/del&gt;, and used with &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;better &lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;https&lt;/del&gt;://&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;online-learning-initiative&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;org/wiki/index&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;php&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;User:PhillipFalcone4 &lt;/del&gt;Wood Ranger Power Shears &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;order now&lt;/del&gt;], than a more typical axe or spear. Perhaps this impression is because these weapons were &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sometimes &lt;/del&gt;wielded by saga heros, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reminiscent of &lt;/del&gt;Gunnar and Egill. Yet Hrútr, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://www.wakewiki.de/index.php?title=Pinking_Shears_For_Fabric_Cutting_And_Finishing_Edges Wood Ranger Power Shears shop] &lt;/del&gt;who used a bryntröll so effectively in Laxdæla saga, was an 80-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;year&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;outdated &lt;/del&gt;man and was thought not to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;current &lt;/del&gt;any actual &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;threat&lt;/del&gt;. Perhaps examples of those weapons do survive in archaeological finds, however the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;features &lt;/del&gt;that distinguished them to the eyes of a Viking &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;should not &lt;/del&gt;so distinctive that we in the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;modern era &lt;/del&gt;would classify them as different weapons. A &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cautious studying &lt;/del&gt;of how the atgeir is used &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in &lt;/del&gt;the sagas offers us a rough idea of the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;scale &lt;/del&gt;and shape of the head &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;necessary &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;carry out &lt;/del&gt;the strikes described.&amp;lt;br&amp;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;&amp;lt;br&amp;gt;This sort of mapping &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/ins&gt;also &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;known &lt;/ins&gt;as shear transformation, transvection, or &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;just &lt;/ins&gt;shearing. The transformations will be &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;utilized &lt;/ins&gt;with a shear matrix or transvection, an elementary matrix that represents the addition of a a number of of one row or column to a different. Such a matrix &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;could also &lt;/ins&gt;be derived by taking the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;identity &lt;/ins&gt;matrix and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;changing &lt;/ins&gt;one of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;many &lt;/ins&gt;zero &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;parts &lt;/ins&gt;with a non-zero &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;worth&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;On &lt;/ins&gt;this case, the displacement is horizontal by a factor of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;two &lt;/ins&gt;the place the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;mounted &lt;/ins&gt;line is the x-axis, and the signed distance is the y-coordinate. Note that points on &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;opposite &lt;/ins&gt;sides of the reference line are displaced in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;opposite instructions&lt;/ins&gt;. Shear mappings &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;must &lt;/ins&gt;not be confused with rotations. Applying a shear map to a set of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;points &lt;/ins&gt;of the airplane will change all angles between them (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;besides &lt;/ins&gt;straight angles), and the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;size &lt;/ins&gt;of any line segment that&amp;#039;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;s not &lt;/ins&gt;parallel to the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;course &lt;/ins&gt;of displacement. Therefore, it &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is going to normally &lt;/ins&gt;distort the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;form &lt;/ins&gt;of a geometric &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;determine&lt;/ins&gt;, for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;example &lt;/ins&gt;turning squares into parallelograms, and circles into ellipses.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;However a shearing does preserve the area of geometric figures and the alignment and relative distances of collinear points. A shear mapping is the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;main difference &lt;/ins&gt;between the upright and slanted (or italic) styles of letters. The &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;same &lt;/ins&gt;definition is used in three-dimensional geometry, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [http://guilairo520.gain.tw/viewthread.php?tid=59558&amp;amp;extra= Wood Ranger Power Shears] &lt;/ins&gt;except that the gap is measured from a hard and fast &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;airplane&lt;/ins&gt;. A three-dimensional shearing transformation preserves the amount of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;stable &lt;/ins&gt;figures, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but changes &lt;/ins&gt;areas of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;aircraft &lt;/ins&gt;figures (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;except these which can be &lt;/ins&gt;parallel to the displacement). This transformation is used to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;describe &lt;/ins&gt;laminar movement of a fluid between plates, one &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;moving &lt;/ins&gt;in a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;plane &lt;/ins&gt;above and parallel to the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;first&lt;/ins&gt;. The &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;effect &lt;/ins&gt;of this mapping is to displace &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;each point &lt;/ins&gt;horizontally by an quantity proportionally to its y-coordinate. The &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;area&lt;/ins&gt;-preserving property of a shear mapping can be used for outcomes involving &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;area&lt;/ins&gt;. Shear matrices are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sometimes &lt;/ins&gt;used in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;laptop &lt;/ins&gt;graphics. An algorithm as a result of Alan W. Paeth &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;makes use of &lt;/ins&gt;a sequence of three shear mappings (horizontal, vertical, then horizontal once more) to rotate a digital &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;picture &lt;/ins&gt;by an arbitrary angle.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The algorithm is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;very &lt;/ins&gt;simple to implement, and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;really environment friendly&lt;/ins&gt;, since &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;each &lt;/ins&gt;step processes only one column or one row of pixels at a time. In typography, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;normal &lt;/ins&gt;textual content &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reworked &lt;/ins&gt;by a shear mapping &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;results &lt;/ins&gt;in oblique &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sort&lt;/ins&gt;. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings known as Galilean transformations. These are additionally &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;generally &lt;/ins&gt;seen when describing &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;shifting &lt;/ins&gt;reference frames relative to a &amp;quot;most popular&amp;quot; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;frame&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://fakenews.win/wiki/User:MaryMauriello Wood Ranger Power Shears website] typically &lt;/ins&gt;known as absolute time and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;house&lt;/ins&gt;. The time period &amp;#039;shear&amp;#039; originates from Physics, used to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;explain &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reducing&lt;/ins&gt;-like deformation &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;wherein &lt;/ins&gt;parallel layers of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fabric &lt;/ins&gt;&amp;#039;slide previous &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;each other&lt;/ins&gt;&amp;#039;. More formally, shear pressure refers to unaligned forces &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;appearing &lt;/ins&gt;on one part of a physique in a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;selected path&lt;/ins&gt;,  [https://&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;docs&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;digarch.lib.utah.edu&lt;/ins&gt;/index.php&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;?title=Full_Size_Safety_Shears garden cutting tool&lt;/ins&gt;] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and another part of the body in the opposite direction. Weisstein, &lt;/ins&gt;Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;line &lt;/ins&gt;with Weisstein. Clifford, William Kingdon (1885). Common Sense and the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;precise &lt;/ins&gt;Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;utilizing &lt;/ins&gt;GeoGebra. Drag the sliders to observe the [https://&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;www&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ebersbach&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;org&lt;/ins&gt;/index.php?title=User:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;RosalinaBlaubaum electric power &lt;/ins&gt;shears]. Foley et al. (1991, pp. Schneider, Philip J.; Eberly, David H. (2002). Geometric Tools for Computer Graphics. Desai, Apueva A. (22 October 2008). Computer Graphics. PHI Learning Pvt. pp. Paeth, A.W. (1986). &amp;quot;A fast Algorithm for General Raster Rotation&amp;quot; (PDF).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;One supply &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;means &lt;/ins&gt;that atgeirr, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://wiki.ragnarok-infinitezero.com.br/index.php?title=User:ModestoFarnham Wood Ranger Power Shears website] &lt;/ins&gt;kesja, and höggspjót all &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;confer with &lt;/ins&gt;the identical weapon. A &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;more &lt;/ins&gt;cautious reading of the saga texts doesn&amp;#039;t support this idea. The saga textual content suggests similarities between atgeirr and kesja, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which &lt;/ins&gt;are primarily used for thrusting, and between höggspjót and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [http://43.163.207.174:3000/percypatnode32/6178wood-ranger-brand-shears/wiki/Have-a-Question-about-This-Product%3F Wood Ranger Power Shears USA] &lt;/ins&gt;bryntröll, which have been primarily used for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;chopping&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Whatever &lt;/ins&gt;the weapons might &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;have &lt;/ins&gt;been, they seem to have been more &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;effective&lt;/ins&gt;, and used with &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;larger &lt;/ins&gt;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http&lt;/ins&gt;://&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;123.207&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;47&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;94:39547&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;beawherry08459 &lt;/ins&gt;Wood Ranger Power Shears &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;website&lt;/ins&gt;], than a more typical axe or spear. Perhaps this impression is because these weapons were &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;usually &lt;/ins&gt;wielded by saga heros, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;such as &lt;/ins&gt;Gunnar and Egill. Yet Hrútr, who used a bryntröll so effectively in Laxdæla saga, was an 80-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;12 months&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;old &lt;/ins&gt;man and was thought not to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;present &lt;/ins&gt;any actual &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;menace&lt;/ins&gt;. Perhaps examples of those weapons do survive in archaeological finds, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; [https://wiki.anythingcanbehacked.com/index.php?title=Have_A_Question_About_This_Product Wood Ranger Power Shears website] &lt;/ins&gt;however the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;options &lt;/ins&gt;that distinguished them to the eyes of a Viking &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;aren&amp;#039;t &lt;/ins&gt;so distinctive that we in the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;trendy period &lt;/ins&gt;would classify them as &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;totally &lt;/ins&gt;different weapons. A &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;careful reading &lt;/ins&gt;of how the atgeir is used &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;within &lt;/ins&gt;the sagas offers us a rough idea of the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;size &lt;/ins&gt;and shape of the head &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;essential &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;perform &lt;/ins&gt;the strikes described.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>ModestoFarnham</name></author>
	</entry>
	<entry>
		<id>https://wiki.timero.com.br/index.php?title=The_Term_shear_Originates_From_Physics&amp;diff=190669&amp;oldid=prev</id>
		<title>IsidraKibby2201: Created page with &quot;&lt;br&gt;This sort of mapping can also be referred to as shear transformation, transvection,  [https://wikigranny.com/wiki/index.php/You_re_Three_Decisions_Away Wood Ranger brand shears] or simply shearing. The transformations will be applied with a shear matrix or transvection,  [https://koessler-lehrerlexikon.ub.uni-giessen.de/wiki/It_Was_Founded_In_Masterton Wood Ranger brand shears] an elementary matrix that represents the addition of a a number of of one row or column to...&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.timero.com.br/index.php?title=The_Term_shear_Originates_From_Physics&amp;diff=190669&amp;oldid=prev"/>
		<updated>2025-09-05T16:19:27Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;br&amp;gt;This sort of mapping can also be referred to as shear transformation, transvection,  [https://wikigranny.com/wiki/index.php/You_re_Three_Decisions_Away Wood Ranger brand shears] or simply shearing. The transformations will be applied with a shear matrix or transvection,  [https://koessler-lehrerlexikon.ub.uni-giessen.de/wiki/It_Was_Founded_In_Masterton Wood Ranger brand shears] an elementary matrix that represents the addition of a a number of of one row or column to...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;br&amp;gt;This sort of mapping can also be referred to as shear transformation, transvection,  [https://wikigranny.com/wiki/index.php/You_re_Three_Decisions_Away Wood Ranger brand shears] or simply shearing. The transformations will be applied with a shear matrix or transvection,  [https://koessler-lehrerlexikon.ub.uni-giessen.de/wiki/It_Was_Founded_In_Masterton Wood Ranger brand shears] an elementary matrix that represents the addition of a a number of of one row or column to a different. Such a matrix may be derived by taking the id matrix and replacing one of the zero elements with a non-zero value. In this case, the displacement is horizontal by a factor of 2 the place the fixed line is the x-axis, and  [https://miduohuyu.com/camillastoddar/camilla1981/wiki/What%27s-one-of-the-Best-%3F Wood Ranger Power Shears website] the signed distance is the y-coordinate. Note that points on reverse sides of the reference line are displaced in reverse directions. Shear mappings should not be confused with rotations. Applying a shear map to a set of factors of the airplane will change all angles between them (except straight angles), and the length of any line segment that isn&amp;#039;t parallel to the route of displacement. Therefore, it&amp;#039;ll usually distort the shape of a geometric figure, for instance turning squares into parallelograms, and circles into ellipses.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;However a shearing does preserve the area of geometric figures and the alignment and relative distances of collinear points. A shear mapping is the principle distinction between the upright and slanted (or italic) styles of letters. The identical definition is used in three-dimensional geometry, except that the gap is measured from a hard and fast aircraft. A three-dimensional shearing transformation preserves the amount of strong figures, however modifications areas of plane figures (besides those that are parallel to the displacement). This transformation is used to explain laminar movement of a fluid between plates, one transferring in a aircraft above and parallel to the primary. The impact of this mapping is to displace every level horizontally by an quantity proportionally to its y-coordinate. The world-preserving property of a shear mapping can be used for outcomes involving space. Shear matrices are often used in computer graphics. An algorithm as a result of Alan W. Paeth uses a sequence of three shear mappings (horizontal, vertical, then horizontal once more) to rotate a digital image by an arbitrary angle.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The algorithm is quite simple to implement, and very efficient, since every step processes only one column or one row of pixels at a time. In typography, regular textual content remodeled by a shear mapping ends in oblique kind. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings known as Galilean transformations. These are additionally typically seen when describing moving reference frames relative to a &amp;quot;most popular&amp;quot; body, generally known as absolute time and area. The time period &amp;#039;shear&amp;#039; originates from Physics, used to describe a chopping-like deformation during which parallel layers of material &amp;#039;slide previous one another&amp;#039;. More formally, shear pressure refers to unaligned forces performing on one part of a physique in a specific direction, and one other a part of the body in the alternative direction. Weisstein,  [https://dirtydeleted.net/index.php/Should_You_Choose_Double-Cut_Shears_Or_Single-Cut_Shears Wood Ranger Power Shears website] Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in keeping with Weisstein. Clifford, William Kingdon (1885). Common Sense and the exact Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made using GeoGebra. Drag the sliders to observe the [https://dev.neos.epss.ucla.edu/wiki/index.php?title=User:RosieFonseca Wood Ranger brand shears]. Foley et al. (1991, pp. Schneider, Philip J.; Eberly, David H. (2002). Geometric Tools for Computer Graphics. Desai, Apueva A. (22 October 2008). Computer Graphics. PHI Learning Pvt. pp. Paeth, A.W. (1986). &amp;quot;A fast Algorithm for General Raster Rotation&amp;quot; (PDF).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;One supply suggests that atgeirr, kesja, and höggspjót all refer to the identical weapon. A extra cautious reading of the saga texts doesn&amp;#039;t support this idea. The saga textual content suggests similarities between atgeirr and kesja, that are primarily used for thrusting, and between höggspjót and bryntröll, which have been primarily used for cutting. Regardless of the weapons might need been, they seem to have been more practical, and used with better [https://online-learning-initiative.org/wiki/index.php/User:PhillipFalcone4 Wood Ranger Power Shears order now], than a more typical axe or spear. Perhaps this impression is because these weapons were sometimes wielded by saga heros, reminiscent of Gunnar and Egill. Yet Hrútr,  [https://www.wakewiki.de/index.php?title=Pinking_Shears_For_Fabric_Cutting_And_Finishing_Edges Wood Ranger Power Shears shop] who used a bryntröll so effectively in Laxdæla saga, was an 80-year-outdated man and was thought not to current any actual threat. Perhaps examples of those weapons do survive in archaeological finds, however the features that distinguished them to the eyes of a Viking should not so distinctive that we in the modern era would classify them as different weapons. A cautious studying of how the atgeir is used in the sagas offers us a rough idea of the scale and shape of the head necessary to carry out the strikes described.&amp;lt;br&amp;gt;&lt;/div&gt;</summary>
		<author><name>IsidraKibby2201</name></author>
	</entry>
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