<?xml version="1.0" encoding="UTF-8"?>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns="http://purl.org/rss/1.0/" xmlns:dc="http://purl.org/dc/elements/1.1/">
  <channel rdf:about="https://community.wolfram.com">
    <title>Community RSS Feed</title>
    <link>https://community.wolfram.com</link>
    <description>RSS Feed for Wolfram Community showing any discussions tagged with Algebra sorted by new.</description>
    <items>
      <rdf:Seq>
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3732638" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3732136" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3732121" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3732112" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3731694" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3731683" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3730715" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3728910" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3728352" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3728616" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3728072" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3727189" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3727367" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3726596" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3725778" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3725751" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3724903" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3723836" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3720236" />
        <rdf:li rdf:resource="https://community.wolfram.com/groups/-/m/t/3717077" />
      </rdf:Seq>
    </items>
  </channel>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3732638">
    <title>A Bicorn rotated with respect to an inclined axis</title>
    <link>https://community.wolfram.com/groups/-/m/t/3732638</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/5f175e10-b7ff-4049-909b-653bcc524e4a</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-12T15:13:42Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3732136">
    <title>Revolution surface based on the Lemniscata of Bernoulli</title>
    <link>https://community.wolfram.com/groups/-/m/t/3732136</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/73e91788-1c44-477a-920b-16826bed5a5f</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-11T15:01:19Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3732121">
    <title>Revolution surface based on the Deltoid</title>
    <link>https://community.wolfram.com/groups/-/m/t/3732121</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/b8595cd6-aea1-40bc-a3ba-dd3177cc8bdd</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-11T14:58:29Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3732112">
    <title>Revolution surface based on the Bicorn</title>
    <link>https://community.wolfram.com/groups/-/m/t/3732112</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/46e0c104-cf9e-48a2-8fab-b1c8db1cf747</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-11T14:56:16Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3731694">
    <title>Revolution surface based on an astroid</title>
    <link>https://community.wolfram.com/groups/-/m/t/3731694</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/d4f92a1c-33d6-4aef-84ff-8158de550202</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-11T14:51:30Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3731683">
    <title>Translation surface of a pair of parabolas</title>
    <link>https://community.wolfram.com/groups/-/m/t/3731683</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/9432cf3d-bb0d-4d2c-a18a-e823d79f1589</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-11T13:43:54Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3730715">
    <title>Symbolic local adiabatic quantum search: spectral analysis, complexity scaling, and quantum speedup</title>
    <link>https://community.wolfram.com/groups/-/m/t/3730715</link>
    <description>![Symbolic local adiabatic quantum search: spectral analysis, complexity scaling, and quantum speedup][1]&#xD;
&#xD;
&amp;amp;[Wolfram Notebook][2]&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2696hero.png&amp;amp;userId=20103&#xD;
  [2]: https://www.wolframcloud.com/obj/c3be1b7c-87bc-4efb-aad2-315ab8be9d71</description>
    <dc:creator>Sebastian Rodriguez</dc:creator>
    <dc:date>2026-06-09T18:16:38Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3728910">
    <title>The last one: Cone circumscribed to a family of spheres (envelope)</title>
    <link>https://community.wolfram.com/groups/-/m/t/3728910</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/7ad5ce93-bb0f-4abb-a033-016f37836b22</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-06T20:32:29Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3728352">
    <title>Cylinder circumscribed to a family of spheres (envelope)</title>
    <link>https://community.wolfram.com/groups/-/m/t/3728352</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/1f528c67-1899-4f72-a11c-5da6e9ee4842</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-06T17:59:47Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3728616">
    <title>Aristotle&amp;#039;s world: an interactive Mathematica tutorial on Aristotelian logic</title>
    <link>https://community.wolfram.com/groups/-/m/t/3728616</link>
    <description>I am developing &amp;#034;Aristotle&amp;#039;s World&amp;#034;, an interactive tutorial on Aristotelian logic for Mathematica 13 and Wolfram Cloud.&#xD;
&#xD;
The notebook introduces the four AEIO judgment forms, represents them in tensor form, and develops Aristotelian deduction rules as a combinatoric closure process. The square of judgments is then connected to the fixed-point behaviour of the system.&#xD;
&#xD;
The project is designed as a hands-on notebook rather than a purely theoretical text, so users can directly explore how judgments, tensors, and deductions interact.&#xD;
&#xD;
I would be glad to hear feedback from the Wolfram community on the basic ideas, notebook design, and possible improvements.&#xD;
https://www.wolframcloud.com/obj/brillowski/Published/Aristotles-World.nb&#xD;
&#xD;
![Adding Judgments to a Tensor][1]&#xD;
&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=JudgmentsinaTensor.png&amp;amp;userId=3660837</description>
    <dc:creator>Claus Brillowski</dc:creator>
    <dc:date>2026-06-06T12:09:04Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3728072">
    <title>Paraboloid circumscribed to a family of spheres (envelope)</title>
    <link>https://community.wolfram.com/groups/-/m/t/3728072</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/5716616a-8d45-4ed4-a13c-a1d9daf1d2d3</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-05T18:59:53Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3727189">
    <title>Two-leaf hyperboloid circumscribed to a family of spheres (envelope)</title>
    <link>https://community.wolfram.com/groups/-/m/t/3727189</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/59706c82-89e1-464f-b240-239da4b3c242</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-04T23:23:56Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3727367">
    <title>One-leaf hyperboloid circumscribed to a family of spheres (envelope)</title>
    <link>https://community.wolfram.com/groups/-/m/t/3727367</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/3a5aad43-bc06-4bcf-9518-9a56fbbb0d27</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-04T15:24:09Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3726596">
    <title>Ellipsoid circumscribed to a family of spheres (envelope)</title>
    <link>https://community.wolfram.com/groups/-/m/t/3726596</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/0ba4eeb9-c3d3-4451-a5d3-eef17a8f8e85</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-03T21:36:09Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3725778">
    <title>Envelope of a family of ellipses</title>
    <link>https://community.wolfram.com/groups/-/m/t/3725778</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/6b42db4e-a608-44bf-994b-7b02e77678d3</description>
    <dc:creator>Alejandro Latorre Chirot</dc:creator>
    <dc:date>2026-06-02T13:35:50Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3725751">
    <title>Why is it impossible to find the zeros of a function in an interval after defining it?</title>
    <link>https://community.wolfram.com/groups/-/m/t/3725751</link>
    <description>As shown in the code below, a function is defined, but why can&amp;#039;t we find its zeros over an interval?&#xD;
&#xD;
    f[x_] := x Log[2 - x] /; 0 &amp;lt;= x &amp;lt; 1&#xD;
    f[x_] := (x - 2) Log[x] /; 1 &amp;lt;= x &amp;lt;= 2&#xD;
    f[x_] := -f[-x] /; x &amp;lt; 0&#xD;
    f[x_] := f[x - 2] /; x &amp;gt; 2&#xD;
    Plot[{f[x]}, {x, 0, 10}]&#xD;
&#xD;
![enter image description here][1]&#xD;
&#xD;
&#xD;
Why is it impossible to find all zeros of a function within a given interval, and how can this problem be resolved?&#xD;
&#xD;
    f[x_] := x Log[2 - x] /; 0 &amp;lt;= x &amp;lt; 1&#xD;
    f[x_] := (x - 2) Log[x] /; 1 &amp;lt;= x &amp;lt;= 2&#xD;
    f[x_] := -f[-x] /; x &amp;lt; 0&#xD;
    f[x_] := f[x - 2] /; x &amp;gt; 2&#xD;
    Plot[{f[x]}, {x, 0, 10}]&#xD;
    Reduce[{f[x] == 0, 0 &amp;lt;= x &amp;lt;= 2026}, x, Reals]&#xD;
&#xD;
&#xD;
![enter image description here][2]&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2026-06-02_140503.png&amp;amp;userId=3593842&#xD;
  [2]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2026-06-02_140602.png&amp;amp;userId=3593842</description>
    <dc:creator>Bill Blair</dc:creator>
    <dc:date>2026-06-02T06:08:49Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3724903">
    <title>Exact packing of 3 circles with radii Range[3]^(-1/2) in a square</title>
    <link>https://community.wolfram.com/groups/-/m/t/3724903</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/37d88114-fbba-4362-8e51-6ab1636a3039</description>
    <dc:creator>Frank Kampas</dc:creator>
    <dc:date>2026-05-31T20:24:28Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3723836">
    <title>Tropical algebra of ReLU neural networks</title>
    <link>https://community.wolfram.com/groups/-/m/t/3723836</link>
    <description>&amp;amp;[Wolfram Notebook][1]&#xD;
&#xD;
&#xD;
  [1]: https://www.wolframcloud.com/obj/9b1bfddb-4e8b-430b-b96a-8693a61cd6e6</description>
    <dc:creator>Marco Thiel</dc:creator>
    <dc:date>2026-05-28T17:33:58Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3720236">
    <title>How to use LeastSquares[] or QRDecomposition[] to Fit y = mx + b</title>
    <link>https://community.wolfram.com/groups/-/m/t/3720236</link>
    <description>I am trying to calculate the m and b values as a best fit to the equation of the line of y=mx + b - see attached notebook.  &#xD;
&#xD;
In the first section of the notebook, I performed the detail calculations manually to obtain the variables of m = 1.1 and b = 1 to create the equation of the line of y = 1.1x + 1.&#xD;
&#xD;
Then I tried to use two Mathematica functions (QRDecomposition[] and LeastSquares[]) in an attempt to streamline the calculations and ran into problems.  I tried to use examples in both Mathematica as well as examples in the WolframU course on Linear Algebra in which I managed to thoroughly confuse myself because none of the new calculations even remotely resembles the calculations or the end results that I performed manually.  &#xD;
&#xD;
If there is one, I would certainly appreciate someone showing me the recommended method of using Mathematica functions to perform the calculations that I performed manually in the first section of the attached notebook.  &#xD;
&#xD;
Thank you,&#xD;
&#xD;
Mitch Sandlin</description>
    <dc:creator>Mitchell Sandlin</dc:creator>
    <dc:date>2026-05-21T16:28:18Z</dc:date>
  </item>
  <item rdf:about="https://community.wolfram.com/groups/-/m/t/3717077">
    <title>How to divide numerator and denominator by the numerator?</title>
    <link>https://community.wolfram.com/groups/-/m/t/3717077</link>
    <description>How to divide numerator and denominator by the numerator?&#xD;
&#xD;
    in = -((8 m^2)/(3 + 10 m^2 + 3 m^4))&#xD;
    Numerator[in]&#xD;
    in /. a_/b_ -&amp;gt; a/Numerator[in]/(b/Numerator[in])&#xD;
&#xD;
![enter image description here][1]&#xD;
&#xD;
&#xD;
Why is there no change in the result when using the code above?&#xD;
&#xD;
I aim to derive this expression in fractional form via identical transformation:&#xD;
&#xD;
&#xD;
    -(1/(5/4 + 3/(8 m^2) + (3 m^2)/8))&#xD;
&#xD;
&#xD;
![enter image description here][2]&#xD;
&#xD;
&#xD;
  [1]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2026-05-17_083943.png&amp;amp;userId=3593842&#xD;
  [2]: https://community.wolfram.com//c/portal/getImageAttachment?filename=2026-05-17_214336.png&amp;amp;userId=3593842</description>
    <dc:creator>Bill Blair</dc:creator>
    <dc:date>2026-05-17T00:40:45Z</dc:date>
  </item>
</rdf:RDF>

