From 53b4bd9148ecb9344e22f190d12d273386d65b31 Mon Sep 17 00:00:00 2001 From: Dominique Mccrory Date: Sat, 6 Sep 2025 23:20:11 +0000 Subject: [PATCH] Add 'The Term 'shear' Originates From Physics' --- The-Term-%27shear%27-Originates-From-Physics.md | 5 +++++ 1 file changed, 5 insertions(+) create mode 100644 The-Term-%27shear%27-Originates-From-Physics.md diff --git a/The-Term-%27shear%27-Originates-From-Physics.md b/The-Term-%27shear%27-Originates-From-Physics.md new file mode 100644 index 0000000..0865172 --- /dev/null +++ b/The-Term-%27shear%27-Originates-From-Physics.md @@ -0,0 +1,5 @@ +
Such a mapping is also known as shear transformation, transvection, or simply shearing. The transformations will be applied with a shear matrix or transvection, an elementary matrix that represents the addition of a multiple of 1 row or [Wood Ranger Power Shears website](http://shinhwaspodium.com/bbs/board.php?bo_table=free&wr_id=4367694) column to another. Such a matrix could also be derived by taking the identity matrix and changing one of the zero parts with a non-zero worth. On this case, the displacement is horizontal by an element of 2 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 directions. Shear mappings must not be confused with rotations. Applying a shear map to a set of points of the aircraft will change all angles between them (except straight angles), and the length of any line phase that isn't parallel to the direction of displacement. Therefore, it's going to normally distort the shape of a geometric determine, for instance turning squares into parallelograms, and circles into ellipses.
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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) types of letters. The same definition is utilized in three-dimensional geometry, besides that the distance is measured from a hard and fast plane. A three-dimensional shearing transformation preserves the amount of solid figures, [Wood Ranger Power Shears website](http://wiki.die-karte-bitte.de/index.php/Benutzer_Diskussion:MikaylaDey9) but changes areas of airplane figures (besides those which are parallel to the displacement). This transformation is used to explain laminar movement of a fluid between plates, one transferring in a airplane above and parallel to the first. The effect of this mapping is to displace every level horizontally by an amount proportionally to its y-coordinate. The world-preserving property of a shear mapping can be used for outcomes involving area. Shear matrices are often used in laptop graphics. An algorithm because of Alan W. Paeth makes use of a sequence of three shear mappings (horizontal, vertical, then horizontal once more) to rotate a digital image by an arbitrary angle.
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The algorithm is quite simple to implement, electric power shears and very environment friendly, since each step processes just one column or one row of pixels at a time. In typography, normal textual content remodeled by a shear mapping leads to oblique type. In pre-Einsteinian Galilean relativity, transformations between frames of reference are shear mappings known as Galilean transformations. These are also typically seen when describing shifting reference frames relative to a "most well-liked" frame, typically known as absolute time and space. The time period 'shear' originates from Physics, used to describe a reducing-like deformation by which parallel layers of material 'slide past one another'. More formally, shear force refers to unaligned forces acting on one part of a body in a particular path, and another part of the body in the other direction. Weisstein, Eric W. "Shear". MathWorld − A Wolfram Web Resource. Definition in response to Weisstein. Clifford, William Kingdon (1885). Common Sense and [Wood Ranger Power Shears website](http://www.pottomall.com/bbs/board.php?bo_table=free&wr_id=4974779) the precise Sciences. Hohenwarter, M. "Pythagorean theorem by shear mapping". Made using GeoGebra. Drag the sliders to observe the shears. Foley et al. (1991, pp. Schneider, Philip J. \ No newline at end of file