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		<title>The Term shear Originates From Physics - Versionsgeschichte</title>
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		<title>DonteSocha0 am 22. Oktober 2025 um 13:20 Uhr</title>
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		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 22. Oktober 2025, 13:20 Uhr&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Such a &lt;/del&gt;mapping can also be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;referred to &lt;/del&gt;as shear transformation, transvection, or just shearing. The transformations might be applied with a shear matrix or transvection, an elementary matrix that represents the addition of a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a number of &lt;/del&gt;of one row or column to another. Such a matrix &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;could also &lt;/del&gt;be derived by taking the identification matrix and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;replacing &lt;/del&gt;one of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;many &lt;/del&gt;zero &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;components &lt;/del&gt;with a non-zero &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;value&lt;/del&gt;. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;On &lt;/del&gt;this case, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://oerdigamers.info/index.php/Most_Asked_Questions: Wood Ranger official] &lt;/del&gt;the displacement is horizontal by an element of 2 where the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fixed &lt;/del&gt;line is the x-axis, and the signed distance is the y-coordinate. Note that points on &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;opposite &lt;/del&gt;sides of the reference line are displaced in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;opposite instructions&lt;/del&gt;. Shear mappings &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;should &lt;/del&gt;not be confused with rotations. Applying a shear map to a set of points of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;airplane &lt;/del&gt;will change all angles between them (&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;except &lt;/del&gt;straight angles), and the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;length &lt;/del&gt;of any line &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;section &lt;/del&gt;that &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;isn't &lt;/del&gt;parallel to the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;path &lt;/del&gt;of displacement. Therefore, it &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;is going to usually &lt;/del&gt;distort the form of a geometric figure, for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;example &lt;/del&gt;turning squares into parallelograms, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://hankoshokunin.com/013-shidarezakura-2 Wood Ranger official] &lt;/del&gt;and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://link.1hut.ru/tonjacarpentie Wood Ranger official] &lt;/del&gt;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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;world &lt;/del&gt;of geometric figures and the alignment and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://hikvisiondb.webcam/wiki/User:Doyle50398160835 Wood Ranger official] &lt;/del&gt;relative distances of collinear points. A shear mapping is the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;principle difference &lt;/del&gt;between the upright and slanted (or italic) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;styles &lt;/del&gt;of letters. The same definition is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;used &lt;/del&gt;in three-dimensional geometry, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;except &lt;/del&gt;that the gap is measured from a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;set aircraft&lt;/del&gt;. A 3-dimensional shearing transformation preserves the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;volume &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;strong &lt;/del&gt;figures, but &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;modifications &lt;/del&gt;areas of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;aircraft &lt;/del&gt;figures (&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;except &lt;/del&gt;these &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;that are &lt;/del&gt;parallel to the displacement). This transformation is used to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;describe &lt;/del&gt;laminar &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;circulate &lt;/del&gt;of a fluid between plates, one shifting in a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;airplane &lt;/del&gt;above and parallel to the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;primary&lt;/del&gt;. The &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;impact &lt;/del&gt;of this mapping is to displace each &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;point &lt;/del&gt;horizontally by an &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;amount &lt;/del&gt;proportionally to its y-coordinate. The &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;world&lt;/del&gt;-preserving property of a shear mapping can be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;used &lt;/del&gt;for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;results &lt;/del&gt;involving area. Shear matrices are sometimes utilized in laptop graphics. An algorithm &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;attributable to &lt;/del&gt;Alan W. Paeth &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;uses &lt;/del&gt;a sequence of three shear mappings (horizontal, vertical, then horizontal &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;again&lt;/del&gt;) 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 very simple to implement, and really &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;environment friendly&lt;/del&gt;, since every step processes &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;only &lt;/del&gt;one column or one row of pixels at a time. In typography, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;normal &lt;/del&gt;textual content &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;transformed &lt;/del&gt;by a shear mapping ends in oblique &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sort&lt;/del&gt;. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;called &lt;/del&gt;Galilean transformations. These are also &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sometimes &lt;/del&gt;seen when describing &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;moving &lt;/del&gt;reference frames relative to a &amp;quot;preferred&amp;quot; frame, generally &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;referred to &lt;/del&gt;as absolute time and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;space&lt;/del&gt;. The &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;term &lt;/del&gt;'shear' originates from Physics, used to explain a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;slicing&lt;/del&gt;-like deformation &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/del&gt;which parallel layers of material 'slide past &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;each other&lt;/del&gt;'. More formally, shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[https://realtorflow.ca/irishmaria7267 Wood Ranger Power Shears] &lt;/del&gt;refers to unaligned forces &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;performing &lt;/del&gt;on one part of a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;physique &lt;/del&gt;in a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;selected &lt;/del&gt;path, and another part of the physique in the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;other &lt;/del&gt;direction. Weisstein, Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;line &lt;/del&gt;with Weisstein. Clifford, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://cheongbong.com/bbs/board.php?bo_table=free&amp;amp;wr_id=513173 Wood Ranger official] &lt;/del&gt;William Kingdon (1885). Common Sense and the precise Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/del&gt;GeoGebra. Drag the sliders to observe the 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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fast &lt;/del&gt;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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;supply suggests &lt;/del&gt;that atgeirr, kesja, and höggspjót all &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;consult &lt;/del&gt;with the same weapon. A more careful reading of the saga texts doesn't &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;support &lt;/del&gt;this concept. The saga &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;textual content &lt;/del&gt;suggests similarities between atgeirr and kesja, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;that &lt;/del&gt;are primarily used for thrusting, and between höggspjót and bryntröll, which were primarily used for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;reducing&lt;/del&gt;. Whatever the weapons &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;may need &lt;/del&gt;been, they seem to have been &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;simpler&lt;/del&gt;, and used with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;better power&lt;/del&gt;, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://wiki.insidertoday.org/index.php/The_Best_Way_To_Check_If_Your_Barber_Shears_Are_Sharp_Enough_To_Chop_Hair Wood Ranger official] &lt;/del&gt;than a extra typical axe or spear. Perhaps this impression is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;because &lt;/del&gt;these weapons &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;were usually &lt;/del&gt;wielded by saga heros, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;reminiscent of &lt;/del&gt;Gunnar and Egill. Yet Hrútr, who used a bryntröll so successfully in Laxdæla saga, was an 80-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;12 months&lt;/del&gt;-outdated man and was thought to not &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;present &lt;/del&gt;any actual threat. Perhaps examples of those weapons do survive in archaeological finds, but the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;options &lt;/del&gt;that distinguished them to the eyes of a Viking &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;aren't &lt;/del&gt;so distinctive that we in the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;trendy &lt;/del&gt;era would classify them as different weapons. A &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;cautious &lt;/del&gt;studying of how the atgeir is used &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/del&gt;the sagas &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;offers &lt;/del&gt;us a tough &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;idea &lt;/del&gt;of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;dimensions &lt;/del&gt;and shape of the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;head &lt;/del&gt;essential to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;carry out &lt;/del&gt;the strikes described.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;This sort of &lt;/ins&gt;mapping can also be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;known &lt;/ins&gt;as shear transformation, transvection, or just shearing. The transformations might be applied with a shear matrix or transvection, an elementary matrix that represents the addition of a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;multiple &lt;/ins&gt;of one row or column to another. Such a matrix &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;may &lt;/ins&gt;be derived by taking the identification matrix and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;changing &lt;/ins&gt;one of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;the &lt;/ins&gt;zero &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;elements &lt;/ins&gt;with a non-zero &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;worth&lt;/ins&gt;. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;In &lt;/ins&gt;this case, the displacement is horizontal by an element of 2 where the &lt;ins class=&quot;diffchange diffchange-inline&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 class=&quot;diffchange diffchange-inline&quot;&gt;reverse &lt;/ins&gt;sides of the reference line are displaced in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reverse directions&lt;/ins&gt;. Shear mappings &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;must &lt;/ins&gt;not be confused with rotations. Applying a shear map to a set of points of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;aircraft &lt;/ins&gt;will change all angles between them (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;besides &lt;/ins&gt;straight angles), and the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;size &lt;/ins&gt;of any line &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;segment &lt;/ins&gt;that &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;is not &lt;/ins&gt;parallel to the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;direction &lt;/ins&gt;of displacement. Therefore, it &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;should normally &lt;/ins&gt;distort the form of a geometric figure, for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;instance &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 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;area &lt;/ins&gt;of geometric figures and the alignment and relative distances of collinear points. A shear mapping is the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;main distinction &lt;/ins&gt;between the upright and slanted (or &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://wiki.naval.ch/index.php?title=The_Most_Effective_Pruning_Shears_Of_2025 high capacity pruning tool] &lt;/ins&gt;italic) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;types &lt;/ins&gt;of letters. The same definition is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;utilized &lt;/ins&gt;in three-dimensional geometry, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;besides &lt;/ins&gt;that the gap is measured from a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;fixed plane&lt;/ins&gt;. A 3-dimensional shearing transformation preserves the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quantity &lt;/ins&gt;of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;stable &lt;/ins&gt;figures, but &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;adjustments &lt;/ins&gt;areas of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;airplane &lt;/ins&gt;figures (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;besides &lt;/ins&gt;these &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;which can be &lt;/ins&gt;parallel to the displacement). This transformation is used to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;explain &lt;/ins&gt;laminar &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;flow &lt;/ins&gt;of a fluid between plates, one shifting in a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;plane &lt;/ins&gt;above and parallel to the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;first&lt;/ins&gt;. The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;effect &lt;/ins&gt;of this mapping is to displace each &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;level &lt;/ins&gt;horizontally by an &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quantity &lt;/ins&gt;proportionally to its y-coordinate. The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;realm&lt;/ins&gt;-preserving property of a shear mapping can be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;utilized &lt;/ins&gt;for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;outcomes &lt;/ins&gt;involving area. Shear matrices are sometimes utilized in laptop graphics. An algorithm &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;on account of &lt;/ins&gt;Alan W. Paeth &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;makes use of &lt;/ins&gt;a sequence of three shear mappings (horizontal, vertical, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://www.caoxiaozhu.com:13001/jannieebert769 Wood Ranger Power Shears] features &lt;/ins&gt;then horizontal &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;once more&lt;/ins&gt;) 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 very simple to implement, and really &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;efficient&lt;/ins&gt;, since every step processes &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;just &lt;/ins&gt;one column or one row of pixels at a time. In typography, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;regular &lt;/ins&gt;textual content &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reworked &lt;/ins&gt;by a shear mapping ends in oblique &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;type&lt;/ins&gt;. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;referred to as &lt;/ins&gt;Galilean transformations. These are also &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;generally &lt;/ins&gt;seen when describing &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;transferring &lt;/ins&gt;reference frames relative to a &amp;quot;preferred&amp;quot; frame, generally &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;known &lt;/ins&gt;as absolute time and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;area&lt;/ins&gt;. The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;time period &lt;/ins&gt;'shear' originates from Physics, used to explain a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;cutting&lt;/ins&gt;-like deformation &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;during &lt;/ins&gt;which parallel layers of material 'slide past &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;one another&lt;/ins&gt;'. More formally, shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;power &lt;/ins&gt;refers to unaligned forces &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;acting &lt;/ins&gt;on one part of a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;body &lt;/ins&gt;in a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;specific &lt;/ins&gt;path, and another part of the physique in the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;alternative &lt;/ins&gt;direction. Weisstein, Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;accordance &lt;/ins&gt;with Weisstein. Clifford, William Kingdon (1885). Common Sense and the precise Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;utilizing &lt;/ins&gt;GeoGebra. Drag the sliders to observe the 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 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;quick &lt;/ins&gt;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 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;source means &lt;/ins&gt;that atgeirr, kesja, and höggspjót all &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;confer &lt;/ins&gt;with the same weapon. A more careful reading of the saga texts doesn't &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;assist &lt;/ins&gt;this concept. The saga &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;text &lt;/ins&gt;suggests similarities between atgeirr and kesja, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://bt-13.com/index.php/User:DKGNorman5640 high capacity pruning tool] which &lt;/ins&gt;are primarily used for thrusting, and between höggspjót and bryntröll, which were primarily used for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://voicebot.digitalakademie-bw.de:3000/wally35t40159 high capacity pruning tool] chopping&lt;/ins&gt;. Whatever the weapons &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;might have &lt;/ins&gt;been, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; Wood Ranger Power Shears shop &lt;/ins&gt;they seem to have been &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;more practical&lt;/ins&gt;, and used with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;greater energy&lt;/ins&gt;, than a extra typical axe or spear. Perhaps this impression is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;as a result of &lt;/ins&gt;these weapons &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;had been typically &lt;/ins&gt;wielded by saga heros, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;akin to &lt;/ins&gt;Gunnar and Egill. Yet Hrútr, who used a bryntröll so successfully in Laxdæla saga, was an 80-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;year&lt;/ins&gt;-outdated man and was thought to not &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;current &lt;/ins&gt;any actual threat. Perhaps examples of those weapons do survive in archaeological finds, but the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;features &lt;/ins&gt;that distinguished them to the eyes of a Viking &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;are usually not &lt;/ins&gt;so distinctive that we in the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;fashionable &lt;/ins&gt;era would classify them as &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;completely &lt;/ins&gt;different weapons. A &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;careful &lt;/ins&gt;studying of how the atgeir is used &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/ins&gt;the sagas &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;gives &lt;/ins&gt;us a tough &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;concept &lt;/ins&gt;of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;size &lt;/ins&gt;and shape of the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;top &lt;/ins&gt;essential to &lt;ins class=&quot;diffchange diffchange-inline&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>DonteSocha0</name></author>	</entry>

	<entry>
		<id>http://www.vokipedia.de/index.php?title=The_Term_shear_Originates_From_Physics&amp;diff=149967&amp;oldid=prev</id>
		<title>LucienneKieran5 am 25. September 2025 um 01:39 Uhr</title>
		<link rel="alternate" type="text/html" href="http://www.vokipedia.de/index.php?title=The_Term_shear_Originates_From_Physics&amp;diff=149967&amp;oldid=prev"/>
				<updated>2025-09-25T01:39:51Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Nächstältere Version&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Version vom 25. September 2025, 01:39 Uhr&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Zeile 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;This kind of &lt;/del&gt;mapping can be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;known &lt;/del&gt;as shear transformation, transvection, or just shearing. The transformations &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;can &lt;/del&gt;be applied with a shear matrix or transvection, an elementary matrix that represents the addition of a a number of of one row or column to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a different&lt;/del&gt;. Such a matrix &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;may &lt;/del&gt;be derived by taking the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;identity &lt;/del&gt;matrix and replacing one of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;the &lt;/del&gt;zero &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;elements &lt;/del&gt;with a non-zero value. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;In &lt;/del&gt;this case, the displacement is horizontal by an element of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;two the place &lt;/del&gt;the fixed line is the x-axis, and the signed distance is the y-coordinate. Note that &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;factors &lt;/del&gt;on opposite sides of the reference line are displaced in opposite instructions. Shear mappings should not be confused with rotations. Applying a shear map to a set of points of the airplane will change all angles between them (&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;besides &lt;/del&gt;straight angles), and the length of any line section that &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;is not &lt;/del&gt;parallel to the path of displacement. Therefore, it &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;would often &lt;/del&gt;distort the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;shape &lt;/del&gt;of a geometric figure, for example 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 world of geometric figures and the alignment and relative distances of collinear points. A shear mapping is the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;primary distinction &lt;/del&gt;between the upright and slanted (or italic) styles of letters. The same definition is used in three-dimensional geometry, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;besides &lt;/del&gt;that the gap is measured from a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fixed &lt;/del&gt;aircraft. A &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;three&lt;/del&gt;-dimensional shearing transformation preserves the volume of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;stable &lt;/del&gt;figures, but &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;adjustments &lt;/del&gt;areas of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;airplane &lt;/del&gt;figures (except these &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;which &lt;/del&gt;are parallel to the displacement). This transformation is used to describe laminar circulate of a fluid between plates, one &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;moving &lt;/del&gt;in a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;aircraft &lt;/del&gt;above and parallel to the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;first&lt;/del&gt;. The impact of this mapping is to displace &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;every level &lt;/del&gt;horizontally by an amount proportionally to its y-coordinate. The &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;area&lt;/del&gt;-preserving property of a shear mapping can be used for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://www.vokipedia.de/index.php?title=Benutzer:CarlotaSchlunke Wood Ranger Power Shears reviews] &lt;/del&gt;results involving area. Shear matrices are sometimes utilized in laptop graphics. An algorithm &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;because of &lt;/del&gt;Alan W. Paeth uses a sequence of three shear mappings (horizontal, vertical, then horizontal &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;once more&lt;/del&gt;) to rotate a digital &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;picture &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 class=&quot;diffchange diffchange-inline&quot;&gt;quite &lt;/del&gt;simple to implement, and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;very &lt;/del&gt;environment friendly, since every step processes only one column or one row of pixels at a time. In typography, normal &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;text remodeled &lt;/del&gt;by a shear mapping &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;leads to &lt;/del&gt;oblique sort. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;known as &lt;/del&gt;Galilean transformations. These are &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;additionally &lt;/del&gt;sometimes seen when describing &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;transferring &lt;/del&gt;reference frames relative to a &amp;quot;preferred&amp;quot; frame, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;typically known &lt;/del&gt;as absolute time and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;area&lt;/del&gt;. The &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;time period &lt;/del&gt;'shear' originates from Physics, used to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;describe &lt;/del&gt;a slicing-like deformation &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;during &lt;/del&gt;which parallel layers of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;fabric &lt;/del&gt;'slide past each other'. More formally, shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;drive &lt;/del&gt;refers to unaligned forces performing on one part of a physique in a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;particular &lt;/del&gt;path, and another &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;a &lt;/del&gt;part of the physique in the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;opposite course&lt;/del&gt;. Weisstein, Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in line with Weisstein. Clifford, William Kingdon (1885). Common Sense and the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;exact &lt;/del&gt;Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;utilizing &lt;/del&gt;GeoGebra. Drag the sliders to observe the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[https://gitea.zqll.top/martairizarry3 Wood Ranger Power Shears price]&lt;/del&gt;. 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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;quick &lt;/del&gt;Algorithm &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;[https://koreanaggies.net/board_Lmao72/1924132 Wood Ranger Power Shears &lt;/del&gt;for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sale] &lt;/del&gt;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 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;source &lt;/del&gt;suggests that atgeirr, kesja, and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://marketingme.wiki/wiki/Wood_Ranger_Power_Shears:_A_Comprehensive_Study Wood Ranger Power Shears official site] &lt;/del&gt;höggspjót all &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;check &lt;/del&gt;with the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;identical &lt;/del&gt;weapon. A more careful &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;studying &lt;/del&gt;of the saga texts doesn't support this &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;idea&lt;/del&gt;. The saga &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;text &lt;/del&gt;suggests similarities between atgeirr and kesja, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://funsilo.date/wiki/The_Ultimate_Guide_To_Wood_Ranger_Power_Shears_And_Garden_Pruning_Tools Wood Ranger Power Shears reviews] &lt;/del&gt;that are primarily used for thrusting, and between höggspjót and bryntröll, which &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;have been &lt;/del&gt;primarily used for &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;chopping&lt;/del&gt;. Whatever the weapons may need been, they &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;appear &lt;/del&gt;to have been &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;more effective&lt;/del&gt;, and used with &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;greater &lt;/del&gt;[https://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;marketingme.&lt;/del&gt;wiki/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;wiki&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;User:AdriannaSkidmore &lt;/del&gt;Wood Ranger &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Power Shears reviews&lt;/del&gt;]&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;, &lt;/del&gt;than a extra typical axe or spear. Perhaps this impression is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;as a result of &lt;/del&gt;these weapons &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;have been sometimes &lt;/del&gt;wielded by saga heros, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;resembling &lt;/del&gt;Gunnar and Egill. Yet Hrútr, who used a bryntröll so &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;effectively &lt;/del&gt;in Laxdæla saga, was an 80-&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;yr&lt;/del&gt;-outdated man and was thought to not present any &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;real risk&lt;/del&gt;. Perhaps examples of those weapons do survive in archaeological finds, but the options that distinguished them to the eyes of a Viking &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;usually are not &lt;/del&gt;so distinctive that we in the trendy &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;period &lt;/del&gt;would classify them as different weapons. A cautious studying of how the atgeir is used within the sagas &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;provides &lt;/del&gt;us a tough &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;concept &lt;/del&gt;of the dimensions and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;form &lt;/del&gt;of the head &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;necessary &lt;/del&gt;to carry out the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;moves &lt;/del&gt;described.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;lt;br&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Such a &lt;/ins&gt;mapping can &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;also &lt;/ins&gt;be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;referred to &lt;/ins&gt;as shear transformation, transvection, or just shearing. The transformations &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;might &lt;/ins&gt;be applied with a shear matrix or transvection, an elementary matrix that represents the addition of a a number of of one row or column to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;another&lt;/ins&gt;. Such a matrix &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;could also &lt;/ins&gt;be derived by taking the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;identification &lt;/ins&gt;matrix and replacing one of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;many &lt;/ins&gt;zero &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;components &lt;/ins&gt;with a non-zero value. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;On &lt;/ins&gt;this case, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://oerdigamers.info/index.php/Most_Asked_Questions: Wood Ranger official] &lt;/ins&gt;the displacement is horizontal by an element of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;2 where &lt;/ins&gt;the fixed line is the x-axis, and the signed distance is the y-coordinate. Note that &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;points &lt;/ins&gt;on opposite sides of the reference line are displaced in opposite instructions. Shear mappings should not be confused with rotations. Applying a shear map to a set of points of the airplane will change all angles between them (&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;except &lt;/ins&gt;straight angles), and the length of any line section that &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;isn't &lt;/ins&gt;parallel to the path of displacement. Therefore, it &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;is going to usually &lt;/ins&gt;distort the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;form &lt;/ins&gt;of a geometric figure, for example turning squares into parallelograms, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://hankoshokunin.com/013-shidarezakura-2 Wood Ranger official] &lt;/ins&gt;and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://link.1hut.ru/tonjacarpentie Wood Ranger official] &lt;/ins&gt;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 world of geometric figures and the alignment and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://hikvisiondb.webcam/wiki/User:Doyle50398160835 Wood Ranger official] &lt;/ins&gt;relative distances of collinear points. A shear mapping is the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;principle difference &lt;/ins&gt;between the upright and slanted (or italic) styles of letters. The same definition is used in three-dimensional geometry, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;except &lt;/ins&gt;that the gap is measured from a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;set &lt;/ins&gt;aircraft. A &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;3&lt;/ins&gt;-dimensional shearing transformation preserves the volume of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;strong &lt;/ins&gt;figures, but &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;modifications &lt;/ins&gt;areas of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;aircraft &lt;/ins&gt;figures (except these &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;that &lt;/ins&gt;are parallel to the displacement). This transformation is used to describe laminar circulate of a fluid between plates, one &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;shifting &lt;/ins&gt;in a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;airplane &lt;/ins&gt;above and parallel to the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;primary&lt;/ins&gt;. The impact of this mapping is to displace &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;each point &lt;/ins&gt;horizontally by an amount proportionally to its y-coordinate. The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;world&lt;/ins&gt;-preserving property of a shear mapping can be used for results involving area. Shear matrices are sometimes utilized in laptop graphics. An algorithm &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;attributable to &lt;/ins&gt;Alan W. Paeth uses a sequence of three shear mappings (horizontal, vertical, then horizontal &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;again&lt;/ins&gt;) to rotate a digital &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;image &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 class=&quot;diffchange diffchange-inline&quot;&gt;very &lt;/ins&gt;simple to implement, and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;really &lt;/ins&gt;environment friendly, since every step processes only one column or one row of pixels at a time. In typography, normal &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;textual content transformed &lt;/ins&gt;by a shear mapping &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;ends in &lt;/ins&gt;oblique sort. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;called &lt;/ins&gt;Galilean transformations. These are &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;also &lt;/ins&gt;sometimes seen when describing &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;moving &lt;/ins&gt;reference frames relative to a &amp;quot;preferred&amp;quot; frame, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;generally referred to &lt;/ins&gt;as absolute time and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;space&lt;/ins&gt;. The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;term &lt;/ins&gt;'shear' originates from Physics, used to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;explain &lt;/ins&gt;a slicing-like deformation &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/ins&gt;which parallel layers of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;material &lt;/ins&gt;'slide past each other'. More formally, shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[https://realtorflow.ca/irishmaria7267 Wood Ranger Power Shears] &lt;/ins&gt;refers to unaligned forces performing on one part of a physique in a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;selected &lt;/ins&gt;path, and another part of the physique in the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;other direction&lt;/ins&gt;. Weisstein, Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in line with Weisstein. Clifford, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://cheongbong.com/bbs/board.php?bo_table=free&amp;amp;wr_id=513173 Wood Ranger official] &lt;/ins&gt;William Kingdon (1885). Common Sense and the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;precise &lt;/ins&gt;Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/ins&gt;GeoGebra. Drag the sliders to observe the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;shears&lt;/ins&gt;. 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 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;fast &lt;/ins&gt;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 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;supply &lt;/ins&gt;suggests that atgeirr, kesja, and höggspjót all &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;consult &lt;/ins&gt;with the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;same &lt;/ins&gt;weapon. A more careful &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reading &lt;/ins&gt;of the saga texts doesn't support this &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;concept&lt;/ins&gt;. The saga &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;textual content &lt;/ins&gt;suggests similarities between atgeirr and kesja, that are primarily used for thrusting, and between höggspjót and bryntröll, which &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;were &lt;/ins&gt;primarily used for &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reducing&lt;/ins&gt;. Whatever the weapons may need been, they &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;seem &lt;/ins&gt;to have been &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;simpler&lt;/ins&gt;, and used with &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;better power,&amp;#160; &lt;/ins&gt;[https://wiki&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;.insidertoday.org&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;index.php&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;The_Best_Way_To_Check_If_Your_Barber_Shears_Are_Sharp_Enough_To_Chop_Hair &lt;/ins&gt;Wood Ranger &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;official&lt;/ins&gt;] than a extra typical axe or spear. Perhaps this impression is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;because &lt;/ins&gt;these weapons &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;were usually &lt;/ins&gt;wielded by saga heros, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;reminiscent of &lt;/ins&gt;Gunnar and Egill. Yet Hrútr, who used a bryntröll so &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;successfully &lt;/ins&gt;in Laxdæla saga, was an 80-&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;12 months&lt;/ins&gt;-outdated man and was thought to not present any &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;actual threat&lt;/ins&gt;. Perhaps examples of those weapons do survive in archaeological finds, but the options that distinguished them to the eyes of a Viking &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;aren't &lt;/ins&gt;so distinctive that we in the trendy &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;era &lt;/ins&gt;would classify them as different weapons. A cautious studying of how the atgeir is used within the sagas &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;offers &lt;/ins&gt;us a tough &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;idea &lt;/ins&gt;of the dimensions and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;shape &lt;/ins&gt;of the head &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;essential &lt;/ins&gt;to carry out the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;strikes &lt;/ins&gt;described.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
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		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „&amp;lt;br&amp;gt;This kind of mapping can be known as shear transformation, transvection, or just shearing. The transformations can be applied with a shear matrix or transv…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;br&amp;gt;This kind of mapping can be known as shear transformation, transvection, or just shearing. The transformations can be applied 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 may be derived by taking the identity matrix and replacing one of the zero elements with a non-zero value. In this case, the displacement is horizontal by an element of two the place the fixed line is the x-axis, and the signed distance is the y-coordinate. Note that factors on opposite sides of the reference line are displaced in opposite instructions. Shear mappings should not be confused with rotations. Applying a shear map to a set of points of the airplane will change all angles between them (besides straight angles), and the length of any line section that is not parallel to the path of displacement. Therefore, it would often distort the shape of a geometric figure, for example 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 world of geometric figures and the alignment and relative distances of collinear points. A shear mapping is the primary distinction between the upright and slanted (or italic) styles of letters. The same definition is used in three-dimensional geometry, besides that the gap is measured from a fixed aircraft. A three-dimensional shearing transformation preserves the volume of stable figures, but adjustments areas of airplane figures (except these which are parallel to the displacement). This transformation is used to describe laminar circulate of a fluid between plates, one moving in a aircraft above and parallel to the first. The impact of this mapping is to displace every level horizontally by an amount proportionally to its y-coordinate. The area-preserving property of a shear mapping can be used for  [http://www.vokipedia.de/index.php?title=Benutzer:CarlotaSchlunke Wood Ranger Power Shears reviews] results involving area. Shear matrices are sometimes utilized in laptop graphics. An algorithm because of Alan W. Paeth uses a sequence of three shear mappings (horizontal, vertical, then horizontal once more) to rotate a digital picture 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 environment friendly, since every step processes only one column or one row of pixels at a time. In typography, normal text remodeled by a shear mapping leads to oblique sort. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings known as Galilean transformations. These are additionally sometimes seen when describing transferring reference frames relative to a &amp;quot;preferred&amp;quot; frame, typically known as absolute time and area. The time period 'shear' originates from Physics, used to describe a slicing-like deformation during which parallel layers of fabric 'slide past each other'. More formally, shear drive refers to unaligned forces performing on one part of a physique in a particular path, and another a part of the physique in the opposite course. Weisstein, Eric W. &amp;quot;Shear&amp;quot;. MathWorld − A Wolfram Web Resource. Definition in line with Weisstein. Clifford, William Kingdon (1885). Common Sense and the exact Sciences. Hohenwarter, M. &amp;quot;Pythagorean theorem by shear mapping&amp;quot;. Made utilizing GeoGebra. Drag the sliders to observe the [https://gitea.zqll.top/martairizarry3 Wood Ranger Power Shears price]. 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 quick Algorithm [https://koreanaggies.net/board_Lmao72/1924132 Wood Ranger Power Shears for sale] 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 source suggests that atgeirr, kesja, and  [https://marketingme.wiki/wiki/Wood_Ranger_Power_Shears:_A_Comprehensive_Study Wood Ranger Power Shears official site] höggspjót all check with the identical weapon. A more careful studying of the saga texts doesn't support this idea. The saga text suggests similarities between atgeirr and kesja,  [https://funsilo.date/wiki/The_Ultimate_Guide_To_Wood_Ranger_Power_Shears_And_Garden_Pruning_Tools Wood Ranger Power Shears reviews] that are primarily used for thrusting, and between höggspjót and bryntröll, which have been primarily used for chopping. Whatever the weapons may need been, they appear to have been more effective, and used with greater [https://marketingme.wiki/wiki/User:AdriannaSkidmore Wood Ranger Power Shears reviews], than a extra typical axe or spear. Perhaps this impression is as a result of these weapons have been sometimes wielded by saga heros, resembling Gunnar and Egill. Yet Hrútr, who used a bryntröll so effectively in Laxdæla saga, was an 80-yr-outdated man and was thought to not present any real risk. Perhaps examples of those weapons do survive in archaeological finds, but the options that distinguished them to the eyes of a Viking usually are not so distinctive that we in the trendy period would classify them as different weapons. A cautious studying of how the atgeir is used within the sagas provides us a tough concept of the dimensions and form of the head necessary to carry out the moves described.&amp;lt;br&amp;gt;&lt;/div&gt;</summary>
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