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		<title>Line-of-sight Shear In SLACS Strong Lenses - Versionsgeschichte</title>
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		<title>CelsaWheeler08 am 4. September 2025 um 07:57 Uhr</title>
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		<summary type="html">&lt;p&gt;&lt;/p&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 4. September 2025, 07:57 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;Context. Inhomogeneities &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;along &lt;/del&gt;the line of sight in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;robust &lt;/del&gt;gravitational lensing distort the pictures produced, in an &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;effect &lt;/del&gt;referred to as shear. If measurable, this shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;might &lt;/del&gt;present independent constraints on cosmological parameters, complementary to traditional cosmic shear. Aims. We &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/del&gt;50 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;sturdy &lt;/del&gt;gravitational lenses from the Sloan Lens ACS (SLACS) catalogue with the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;purpose &lt;/del&gt;of measuring the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;road&lt;/del&gt;-of-sight (LOS) shear for the primary time. We use the ‘minimal model’ for the LOS shear, which has been proven to be theoretically &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;safe &lt;/del&gt;from degeneracies with lens &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/del&gt;parameters, a discovering which has been confirmed &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;using &lt;/del&gt;mock &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;knowledge&lt;/del&gt;. Methods. We use the dolphin automated modelling pipeline, which &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;uses &lt;/del&gt;the lenstronomy software as a modelling engine, to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/del&gt;our &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;chosen &lt;/del&gt;lenses. We &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/del&gt;the principle deflector with an elliptical [https://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;xn--kgbec7hm&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;my&lt;/del&gt;/index.php/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;The_7_Best_Knife_Sets_In_Accordance_With_Our_Tests &lt;/del&gt;Wood Ranger Power Shears &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;specs&lt;/del&gt;] legislation profile, the lens &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mild &lt;/del&gt;with elliptical Sérsic profiles and the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;source &lt;/del&gt;with a basis set of shapelets and an elliptical Sérsic profile. Results. We &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;successfully &lt;/del&gt;get hold of a line-of-sight shear measurement from 18 of the 50 lenses.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We discover that these LOS shear measurements are &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;according to &lt;/del&gt;external [&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;https&lt;/del&gt;://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;www&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;yewiki&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;org&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;User&lt;/del&gt;:&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;ArcherRigsby1 professional landscaping shears&lt;/del&gt;] measured in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;recent &lt;/del&gt;works utilizing a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;easier &lt;/del&gt;shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;model&lt;/del&gt;, which are bigger than &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;those &lt;/del&gt;anticipated from weak lensing. Neglecting the post-Born correction to the potential of the main deflector &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;attributable to &lt;/del&gt;foreground shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;results in &lt;/del&gt;a propagation of degeneracies to the LOS shear measurement, and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://gitcc.aciga.com.cn:3000/noahbuckingham buy Wood Ranger Power Shears] [https://trevorjd.com/index.php/The_Club_Regularly_Organises_Rallies Wood Ranger Power Shears shop] [https://pipewiki.org/wiki/index.php/Although_Kids_Enjoy_Them_Loads electric power shears] Shears for sale &lt;/del&gt;the identical &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;effect &lt;/del&gt;is seen if a prior &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [http://haudyhome.com/bbs/board.php?bo_table=free&amp;amp;wr_id=2198935 professional landscaping shears] &lt;/del&gt;is used to attach the lens mass and gentle ellipticities. The inclusion of an octupole &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;second within &lt;/del&gt;the lens mass profile &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;doesn't &lt;/del&gt;result in shear measurements which are in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;better settlement &lt;/del&gt;with the expectations from weak lensing. Gravitational lensing &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;gives &lt;/del&gt;a novel window into the cosmology of our Universe on a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;variety &lt;/del&gt;of scales. Refsdal, 1964; Wong et al., 2020; Birrer et al., 2020, 2024) &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;via &lt;/del&gt;observations of the distinction in arrival &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;instances &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;images &lt;/del&gt;of variable sources. The weak lensing regime probes &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;larger &lt;/del&gt;scales. Unlike strong lensing, multiple &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;photos &lt;/del&gt;of the same source are not produced; &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;rather&lt;/del&gt;, small distortions are induced on the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;single image &lt;/del&gt;of each source, artificially squashing and aligning them.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;leading &lt;/del&gt;order &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;form &lt;/del&gt;distortion is shear, and its impact &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;can't &lt;/del&gt;be disentangled from the intrinsic shape of individual galaxies or their intrinsic alignment. The cosmic shear sign is detected by correlating the shapes of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;hundreds &lt;/del&gt;of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;thousands &lt;/del&gt;of galaxies in a given galaxy survey. By advantage of their existence in our inhomogeneous Universe, robust lensing &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;photographs will &lt;/del&gt;even &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;expertise &lt;/del&gt;weak lensing distortions, with Einstein rings &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;specifically &lt;/del&gt;supplying the notion of a ‘standardisable shape’ from which shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;could also &lt;/del&gt;be robustly measured111In &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;observe&lt;/del&gt;, shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;can &lt;/del&gt;be recovered even when the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;picture shouldn&lt;/del&gt;'t &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;be &lt;/del&gt;a &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;whole &lt;/del&gt;Einstein ring, though the precision of the measurement may be degraded (Hogg et al., 2023)., &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;providing another &lt;/del&gt;and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://www.yewiki.org/User:JoieMccaffrey34 professional landscaping shears] &lt;/del&gt;unbiased probe of cosmology to the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;usual &lt;/del&gt;weak lensing shear. This idea was first investigated by Birrer et al. 4133 with a shear mannequin that consisted of &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;4 &lt;/del&gt;parameters: two &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;components &lt;/del&gt;to describe the foreground shear as projected onto the lens aircraft, &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://www.story119.com/bbs/board.php?bo_table=free&amp;amp;wr_id=1126180 professional landscaping shears] &lt;/del&gt;and &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [https://pipewiki.org/wiki/index.php/UK%E2%80%99s_Best_Lawn_Edging_Shears:_Spear_Jackson_Fiskars_Wilkinson_Sword professional landscaping shears] &lt;/del&gt;two &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;elements &lt;/del&gt;to explain the background shear as projected onto the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;source aircraft&lt;/del&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Whilst the shear parameters &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;were shown &lt;/del&gt;to be constrained with excessive precision, this analysis revealed &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;strong &lt;/del&gt;degeneracies between the shear parameters and the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;elements &lt;/del&gt;of the ellipticity of the lens mass. This &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;means &lt;/del&gt;that, with this mannequin, the constraints on the shear can't be disentangled from the constraints on the lens mass, and the measurements &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;can't &lt;/del&gt;be safely used to acquire cosmological info. Fleury et al. (2021) developed the minimal line-of-sight shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/del&gt;to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;handle &lt;/del&gt;this &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;downside&lt;/del&gt;. Starting with three separate [&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;https&lt;/del&gt;://&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;git&lt;/del&gt;.&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;kais.dev&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;maribussey350&lt;/del&gt;/&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mari2014/wiki/How-do-you-Prune-Potentilla-Shrubs%3F &lt;/del&gt;Wood Ranger Power Shears &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;price],&amp;#160; [https://wiki.dulovic.tech/index.php/Amazon.com:_Fiskars_SoftGrip_Pinking_Shears_-_Eight_Fabric_Shears_With_Ergonomic_Handle_-_Orange_Gray professional landscaping shears&lt;/del&gt;] the &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/del&gt;exploits a source-place transformation to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;build &lt;/del&gt;a shear parameter, the ‘line-of-sight (LOS) shear’, which at &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;leading &lt;/del&gt;order (i.e. for small values of the shear) is mathematically free from degeneracy with any parameter used to &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;explain &lt;/del&gt;the lens mass. The model absolutely describes the problem with the fewest &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;potential &lt;/del&gt;parameters, and is &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;therefore &lt;/del&gt;referred to as the minimal LOS shear model - we'll evaluate the formalism behind this &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/del&gt;in additional detail beneath. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Thanks &lt;/del&gt;to this freedom from degeneracies, it is the LOS shear &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;within &lt;/del&gt;the minimal mannequin which &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;should &lt;/del&gt;be &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;targeted &lt;/del&gt;for eventual cosmological inference.&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;Context. Inhomogeneities &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;alongside &lt;/ins&gt;the line of sight in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;strong &lt;/ins&gt;gravitational lensing distort the pictures produced, in an &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;impact &lt;/ins&gt;referred to as shear. If measurable, this shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;could &lt;/ins&gt;present independent constraints on cosmological parameters, complementary to traditional cosmic shear. Aims. We &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/ins&gt;50 &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;robust &lt;/ins&gt;gravitational lenses from the Sloan Lens ACS (SLACS) catalogue with the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;aim &lt;/ins&gt;of measuring the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;line&lt;/ins&gt;-of-sight (LOS) shear for the primary time. We use the ‘minimal model’ for the LOS shear, which has been proven to be theoretically &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;protected &lt;/ins&gt;from degeneracies with lens &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/ins&gt;parameters, a discovering which has been confirmed &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;utilizing &lt;/ins&gt;mock &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;data&lt;/ins&gt;. Methods. We use the dolphin automated modelling pipeline, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://securityholes.science/wiki/User:OfeliaAmes56907 buy Wood Ranger Power Shears] &lt;/ins&gt;which &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;makes use of &lt;/ins&gt;the lenstronomy software &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;program &lt;/ins&gt;as a modelling engine, to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/ins&gt;our &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;selected &lt;/ins&gt;lenses. We &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/ins&gt;the principle deflector with an elliptical [https://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;bbarlock&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;com&lt;/ins&gt;/index.php/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;How_Do_You_Prune_An_Euonymus_Shrub buy &lt;/ins&gt;Wood Ranger Power Shears] legislation profile, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [http://wiki.naval.ch/index.php?title=How_Do_You_Prune_Potentilla_Shrubs Wood Ranger Power Shears shop] [https://higgledy-piggledy.xyz/index.php/10M14_Mechanical_Sheet_Metal_Shear Wood Ranger Power Shears USA] [https://hitommy.net/xe1/my_thoughts/1948891 garden power shears] [https://worldbox.wiki/w/User:DarioElliston7 Wood Ranger Power Shears coupon] website &lt;/ins&gt;the lens &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;light &lt;/ins&gt;with elliptical Sérsic profiles and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://ctpedia.org/index.php/Hydraulic_Rescue_Tool buy Wood Ranger Power Shears] &lt;/ins&gt;the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;supply &lt;/ins&gt;with a basis set of shapelets and an elliptical Sérsic profile. Results. We &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;efficiently &lt;/ins&gt;get hold of a line-of-sight shear measurement from 18 of the 50 lenses.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We discover that these LOS shear measurements are &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;consistent with &lt;/ins&gt;external [&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;http&lt;/ins&gt;://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;wiki&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;die-karte-bitte&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;de&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;index.php/Benutzer_Diskussion&lt;/ins&gt;:&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;PreciousBardin7 Wood Ranger Power Shears specs&lt;/ins&gt;] measured in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;latest &lt;/ins&gt;works utilizing a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;simpler &lt;/ins&gt;shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mannequin&lt;/ins&gt;, which are bigger than &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;these &lt;/ins&gt;anticipated from weak lensing. Neglecting the post-Born correction to the potential of the main deflector &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;as a consequence of &lt;/ins&gt;foreground shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;leads to &lt;/ins&gt;a propagation of degeneracies to the LOS shear measurement, and the identical &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;impact &lt;/ins&gt;is seen if a prior is used to attach the lens mass and gentle ellipticities. The inclusion of an octupole &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;moment in &lt;/ins&gt;the lens mass profile &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;does not &lt;/ins&gt;result in shear measurements which are in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;higher agreement &lt;/ins&gt;with the expectations from weak lensing. Gravitational lensing &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;supplies &lt;/ins&gt;a novel window into the cosmology of our Universe on a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;wide range &lt;/ins&gt;of scales. Refsdal, 1964; Wong et al., 2020; Birrer et al., 2020, 2024) &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;by way of &lt;/ins&gt;observations of the distinction in arrival &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;occasions &lt;/ins&gt;of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;pictures &lt;/ins&gt;of variable sources. The weak lensing regime probes &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;bigger &lt;/ins&gt;scales. Unlike strong lensing, multiple &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;images &lt;/ins&gt;of the same source &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;usually &lt;/ins&gt;are not produced; &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;relatively&lt;/ins&gt;, small distortions are induced on the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;one picture &lt;/ins&gt;of each source, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://andyfreund.de/wiki/index.php?title=Drop_Off_And_Leave buy Wood Ranger Power Shears] &lt;/ins&gt;artificially squashing and aligning them.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;main &lt;/ins&gt;order &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;shape &lt;/ins&gt;distortion is shear, and its impact &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;cannot &lt;/ins&gt;be disentangled from the intrinsic shape of individual galaxies or their intrinsic alignment. The cosmic shear sign is detected by correlating the shapes of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;tens &lt;/ins&gt;of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;millions &lt;/ins&gt;of galaxies in a given galaxy survey. By advantage of their existence in our inhomogeneous Universe, robust lensing &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;pictures can &lt;/ins&gt;even &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;experience &lt;/ins&gt;weak lensing distortions, with Einstein rings &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;particularly &lt;/ins&gt;supplying the notion of a ‘standardisable shape’ from which shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;may &lt;/ins&gt;be robustly measured111In &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;follow&lt;/ins&gt;, shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;could &lt;/ins&gt;be recovered even when the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;image just isn&lt;/ins&gt;'t a &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;complete &lt;/ins&gt;Einstein ring, though the precision of the measurement may be degraded (Hogg et al., 2023)., &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;offering an alternative &lt;/ins&gt;and unbiased probe of cosmology to the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;standard &lt;/ins&gt;weak lensing shear. This idea was first investigated by Birrer et al. 4133 with a shear mannequin that consisted of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;four &lt;/ins&gt;parameters: two &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;elements &lt;/ins&gt;to describe the foreground shear as projected onto the lens aircraft, and two &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;parts &lt;/ins&gt;to explain the background shear as projected onto the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;supply airplane&lt;/ins&gt;.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Whilst the shear parameters &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;have been proven &lt;/ins&gt;to be constrained with excessive precision, this analysis revealed &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;sturdy &lt;/ins&gt;degeneracies between the shear parameters and the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;parts &lt;/ins&gt;of the ellipticity of the lens mass. This &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;suggests &lt;/ins&gt;that, with this mannequin, the constraints on the shear can't be disentangled from the constraints on the lens mass, and the measurements &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;cannot &lt;/ins&gt;be safely used to acquire cosmological info. Fleury et al. (2021) developed the minimal line-of-sight shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/ins&gt;to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;address &lt;/ins&gt;this &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;drawback&lt;/ins&gt;. Starting with three separate &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;shears,&amp;#160; &lt;/ins&gt;[&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;http&lt;/ins&gt;://&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;fact18&lt;/ins&gt;.&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;com&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;bbs&lt;/ins&gt;/&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;board.php?bo_table=free&amp;amp;wr_id=26192 buy &lt;/ins&gt;Wood Ranger Power Shears] the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;mannequin &lt;/ins&gt;exploits a source-place transformation to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;construct &lt;/ins&gt;a shear parameter, the ‘line-of-sight (LOS) shear’, which at &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;main &lt;/ins&gt;order (i.e. for small values of the shear) is mathematically free from degeneracy with any parameter used to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;describe &lt;/ins&gt;the lens mass. The model absolutely describes the problem with the fewest &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;doable &lt;/ins&gt;parameters, and &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt; [https://kcosep.com/2025/bbs/board.php?bo_table=free&amp;amp;wr_id=3117957&amp;amp;wv_checked_wr_id= buy Wood Ranger Power Shears] &lt;/ins&gt;is &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;subsequently &lt;/ins&gt;referred to as the minimal LOS shear model - we'll evaluate the formalism behind this &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;model &lt;/ins&gt;in additional detail beneath. &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Due &lt;/ins&gt;to this freedom from degeneracies, it is the LOS shear &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;in &lt;/ins&gt;the minimal mannequin which &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;needs to &lt;/ins&gt;be &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;focused &lt;/ins&gt;for eventual cosmological inference.&amp;lt;br&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>CelsaWheeler08</name></author>	</entry>

	<entry>
		<id>http://www.vokipedia.de/index.php?title=Line-of-sight_Shear_In_SLACS_Strong_Lenses&amp;diff=116594&amp;oldid=prev</id>
		<title>TerriT5899123: Die Seite wurde neu angelegt: „&lt;br&gt;Context. Inhomogeneities along the line of sight in robust gravitational lensing distort the pictures produced, in an effect referred to as shear. If measu…“</title>
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				<updated>2025-09-01T21:33:28Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „&amp;lt;br&amp;gt;Context. Inhomogeneities along the line of sight in robust gravitational lensing distort the pictures produced, in an effect referred to as shear. If measu…“&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;Context. Inhomogeneities along the line of sight in robust gravitational lensing distort the pictures produced, in an effect referred to as shear. If measurable, this shear might present independent constraints on cosmological parameters, complementary to traditional cosmic shear. Aims. We mannequin 50 sturdy gravitational lenses from the Sloan Lens ACS (SLACS) catalogue with the purpose of measuring the road-of-sight (LOS) shear for the primary time. We use the ‘minimal model’ for the LOS shear, which has been proven to be theoretically safe from degeneracies with lens model parameters, a discovering which has been confirmed using mock knowledge. Methods. We use the dolphin automated modelling pipeline, which uses the lenstronomy software as a modelling engine, to model our chosen lenses. We model the principle deflector with an elliptical [https://xn--kgbec7hm.my/index.php/The_7_Best_Knife_Sets_In_Accordance_With_Our_Tests Wood Ranger Power Shears specs] legislation profile, the lens mild with elliptical Sérsic profiles and the source with a basis set of shapelets and an elliptical Sérsic profile. Results. We successfully get hold of a line-of-sight shear measurement from 18 of the 50 lenses.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;We discover that these LOS shear measurements are according to external [https://www.yewiki.org/User:ArcherRigsby1 professional landscaping shears] measured in recent works utilizing a easier shear model, which are bigger than those anticipated from weak lensing. Neglecting the post-Born correction to the potential of the main deflector attributable to foreground shear results in a propagation of degeneracies to the LOS shear measurement, and  [http://gitcc.aciga.com.cn:3000/noahbuckingham buy Wood Ranger Power Shears] [https://trevorjd.com/index.php/The_Club_Regularly_Organises_Rallies Wood Ranger Power Shears shop] [https://pipewiki.org/wiki/index.php/Although_Kids_Enjoy_Them_Loads electric power shears] Shears for sale the identical effect is seen if a prior  [http://haudyhome.com/bbs/board.php?bo_table=free&amp;amp;wr_id=2198935 professional landscaping shears] is used to attach the lens mass and gentle ellipticities. The inclusion of an octupole second within the lens mass profile doesn't result in shear measurements which are in better settlement with the expectations from weak lensing. Gravitational lensing gives a novel window into the cosmology of our Universe on a variety of scales. Refsdal, 1964; Wong et al., 2020; Birrer et al., 2020, 2024) via observations of the distinction in arrival instances of images of variable sources. The weak lensing regime probes larger scales. Unlike strong lensing, multiple photos of the same source are not produced; rather, small distortions are induced on the single image of each source, artificially squashing and aligning them.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;The leading order form distortion is shear, and its impact can't be disentangled from the intrinsic shape of individual galaxies or their intrinsic alignment. The cosmic shear sign is detected by correlating the shapes of hundreds of thousands of galaxies in a given galaxy survey. By advantage of their existence in our inhomogeneous Universe, robust lensing photographs will even expertise weak lensing distortions, with Einstein rings specifically supplying the notion of a ‘standardisable shape’ from which shear could also be robustly measured111In observe, shear can be recovered even when the picture shouldn't be a whole Einstein ring, though the precision of the measurement may be degraded (Hogg et al., 2023)., providing another and  [https://www.yewiki.org/User:JoieMccaffrey34 professional landscaping shears] unbiased probe of cosmology to the usual weak lensing shear. This idea was first investigated by Birrer et al. 4133 with a shear mannequin that consisted of 4 parameters: two components to describe the foreground shear as projected onto the lens aircraft,  [https://www.story119.com/bbs/board.php?bo_table=free&amp;amp;wr_id=1126180 professional landscaping shears] and  [https://pipewiki.org/wiki/index.php/UK%E2%80%99s_Best_Lawn_Edging_Shears:_Spear_Jackson_Fiskars_Wilkinson_Sword professional landscaping shears] two elements to explain the background shear as projected onto the source aircraft.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Whilst the shear parameters were shown to be constrained with excessive precision, this analysis revealed strong degeneracies between the shear parameters and the elements of the ellipticity of the lens mass. This means that, with this mannequin, the constraints on the shear can't be disentangled from the constraints on the lens mass, and the measurements can't be safely used to acquire cosmological info. Fleury et al. (2021) developed the minimal line-of-sight shear model to handle this downside. Starting with three separate [https://git.kais.dev/maribussey350/mari2014/wiki/How-do-you-Prune-Potentilla-Shrubs%3F Wood Ranger Power Shears price],  [https://wiki.dulovic.tech/index.php/Amazon.com:_Fiskars_SoftGrip_Pinking_Shears_-_Eight_Fabric_Shears_With_Ergonomic_Handle_-_Orange_Gray professional landscaping shears] the model exploits a source-place transformation to build a shear parameter, the ‘line-of-sight (LOS) shear’, which at leading order (i.e. for small values of the shear) is mathematically free from degeneracy with any parameter used to explain the lens mass. The model absolutely describes the problem with the fewest potential parameters, and is therefore referred to as the minimal LOS shear model - we'll evaluate the formalism behind this mannequin in additional detail beneath. Thanks to this freedom from degeneracies, it is the LOS shear within the minimal mannequin which should be targeted for eventual cosmological inference.&amp;lt;br&amp;gt;&lt;/div&gt;</summary>
		<author><name>TerriT5899123</name></author>	</entry>

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