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    <p>All of this discussion seems to be framed conveniently (for
      CS/modeling types) as Sequential Dynamical Systems:</p>
    <p><a class="moz-txt-link-freetext" href="https://en.wikipedia.org/wiki/Sequential_dynamical_system">https://en.wikipedia.org/wiki/Sequential_dynamical_system</a><br>
    </p>
    <div class="moz-cite-prefix">On 11/28/21 8:49 PM, Marcus Daniels
      wrote:<br>
    </div>
    <blockquote type="cite"
      cite="mid:47978D37-268C-4EC7-AC98-808AF90353BE@snoutfarm.com">
      <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
      <br>
      Can’t the delay be in arbitrarily-small discretized units (e.g.
      picoseconds) if needed?<br>
      <div dir="ltr"><br>
        <blockquote type="cite">On Nov 28, 2021, at 7:15 PM, Frank
          Wimberly <a class="moz-txt-link-rfc2396E" href="mailto:wimberly3@gmail.com"><wimberly3@gmail.com></a> wrote:<br>
          <br>
        </blockquote>
      </div>
      <blockquote type="cite">
        <div dir="ltr">
          <div dir="auto">By the way an example of a cycle with no
            delay, unless time isn't continuous, is a pair of ladders
            leaning against each other so that neither falls.  That
            violates assumptions of our causal discovery algorithms.<br>
            <br>
            <div data-smartmail="gmail_signature">---<br>
              Frank C. Wimberly<br>
              140 Calle Ojo Feliz, <br>
              Santa Fe, NM 87505<br>
              <br>
              505 670-9918<br>
              Santa Fe, NM</div>
          </div>
          <br>
          <div class="gmail_quote">
            <div dir="ltr" class="gmail_attr">On Sun, Nov 28, 2021, 7:57
              PM Frank Wimberly <<a href="mailto:wimberly3@gmail.com"
                moz-do-not-send="true" class="moz-txt-link-freetext">wimberly3@gmail.com</a>>
              wrote:<br>
            </div>
            <blockquote class="gmail_quote" style="margin:0 0 0
              .8ex;border-left:1px #ccc solid;padding-left:1ex">
              <div dir="auto">An element of a (very short) cycle.  Note
                that there has to be a delay.<br>
                <br>
                <div data-smartmail="gmail_signature">---<br>
                  Frank C. Wimberly<br>
                  140 Calle Ojo Feliz, <br>
                  Santa Fe, NM 87505<br>
                  <br>
                  505 670-9918<br>
                  Santa Fe, NM</div>
              </div>
              <br>
              <div class="gmail_quote">
                <div dir="ltr" class="gmail_attr">On Sun, Nov 28, 2021,
                  7:44 PM <<a href="mailto:thompnickson2@gmail.com"
                    target="_blank" rel="noreferrer"
                    moz-do-not-send="true" class="moz-txt-link-freetext">thompnickson2@gmail.com</a>>
                  wrote:<br>
                </div>
                <blockquote class="gmail_quote" style="margin:0 0 0
                  .8ex;border-left:1px #ccc solid;padding-left:1ex">
                  <div link="blue" vlink="purple"
                    style="word-wrap:break-word" lang="EN-US">
                    <div>
                      <p class="MsoNormal">Frank, </p>
                      <p class="MsoNormal"> </p>
                      <p class="MsoNormal">In your lingo, what is an
                        effect called that feeds back on its cause?</p>
                      <p class="MsoNormal"> </p>
                      <p class="MsoNormal">Nick Thompson</p>
                      <p class="MsoNormal"><a
                          href="mailto:ThompNickSon2@gmail.com"
                          rel="noreferrer noreferrer" target="_blank"
                          moz-do-not-send="true"><span
                            style="color:#0563c1">ThompNickSon2@gmail.com</span></a></p>
                      <p class="MsoNormal"><a
                          href="https://wordpress.clarku.edu/nthompson/"
                          rel="noreferrer noreferrer" target="_blank"
                          moz-do-not-send="true"><span
                            style="color:#0563c1">https://wordpress.clarku.edu/nthompson/</span></a></p>
                      <p class="MsoNormal"> </p>
                      <div style="border:none;border-top:solid #e1e1e1
                        1.0pt;padding:3.0pt 0in 0in 0in">
                        <p class="MsoNormal"><b>From:</b> Friam <<a
                            href="mailto:friam-bounces@redfish.com"
                            rel="noreferrer noreferrer" target="_blank"
                            moz-do-not-send="true"
                            class="moz-txt-link-freetext">friam-bounces@redfish.com</a>>
                          <b>On Behalf Of </b>Frank Wimberly<br>
                          <b>Sent:</b> Sunday, November 28, 2021 7:15 PM<br>
                          <b>To:</b> The Friday Morning Applied
                          Complexity Coffee Group <<a
                            href="mailto:friam@redfish.com"
                            rel="noreferrer noreferrer" target="_blank"
                            moz-do-not-send="true"
                            class="moz-txt-link-freetext">friam@redfish.com</a>><br>
                          <b>Subject:</b> Re: [FRIAM] The
                          epiphenomenality relation</p>
                      </div>
                      <p class="MsoNormal"> </p>
                      <div>
                        <p class="MsoNormal">Yes, for example.</p>
                        <div>
                          <p class="MsoNormal"> </p>
                          <div>
                            <p class="MsoNormal">---<br>
                              Frank C. Wimberly<br>
                              140 Calle Ojo Feliz, <br>
                              Santa Fe, NM 87505<br>
                              <br>
                              505 670-9918<br>
                              Santa Fe, NM</p>
                          </div>
                        </div>
                      </div>
                      <p class="MsoNormal"> </p>
                      <div>
                        <div>
                          <p class="MsoNormal">On Sun, Nov 28, 2021,
                            6:06 PM Marcus Daniels <<a
                              href="mailto:marcus@snoutfarm.com"
                              rel="noreferrer noreferrer"
                              target="_blank" moz-do-not-send="true"
                              class="moz-txt-link-freetext">marcus@snoutfarm.com</a>>
                            wrote:</p>
                        </div>
                        <blockquote style="border:none;border-left:solid
                          #cccccc 1.0pt;padding:0in 0in 0in
                          6.0pt;margin-left:4.8pt;margin-right:0in">
                          <div>
                            <div>
                              <p class="MsoNormal">I guess you mean
                                A(t=0)->B(t=1), B(t=1)->A(t=2),
                                not B(t=1)->A(t=0)</p>
                              <div style="border:none;border-top:solid
                                #e1e1e1 1.0pt;padding:3.0pt 0in 0in 0in">
                                <p class="MsoNormal"><b>From:</b> Friam
                                  <<a
                                    href="mailto:friam-bounces@redfish.com"
                                    rel="noreferrer noreferrer"
                                    target="_blank"
                                    moz-do-not-send="true"
                                    class="moz-txt-link-freetext">friam-bounces@redfish.com</a>>
                                  <b>On Behalf Of </b>Frank Wimberly<br>
                                  <b>Sent:</b> Sunday, November 28, 2021
                                  3:46 PM<br>
                                  <b>To:</b> The Friday Morning Applied
                                  Complexity Coffee Group <<a
                                    href="mailto:friam@redfish.com"
                                    rel="noreferrer noreferrer"
                                    target="_blank"
                                    moz-do-not-send="true"
                                    class="moz-txt-link-freetext">friam@redfish.com</a>><br>
                                  <b>Subject:</b> Re: [FRIAM] The
                                  epiphenomenality relation</p>
                              </div>
                              <p class="MsoNormal"> </p>
                              <div>
                                <p class="MsoNormal">I did a number of
                                  experiments in the use of causal
                                  learning methods to infer genetic
                                  regulatory networks using actual and
                                  simulated data.  Those networks have
                                  loops of a variety of lengths. 
                                  References available upon request.</p>
                                <div>
                                  <p class="MsoNormal"> </p>
                                  <div>
                                    <p class="MsoNormal">---<br>
                                      Frank C. Wimberly<br>
                                      140 Calle Ojo Feliz, <br>
                                      Santa Fe, NM 87505<br>
                                      <br>
                                      505 670-9918<br>
                                      Santa Fe, NM</p>
                                  </div>
                                </div>
                              </div>
                              <p class="MsoNormal"> </p>
                              <div>
                                <div>
                                  <p class="MsoNormal">On Sun, Nov 28,
                                    2021, 4:41 PM Marcus Daniels <<a
                                      href="mailto:marcus@snoutfarm.com"
                                      rel="noreferrer noreferrer"
                                      target="_blank"
                                      moz-do-not-send="true"
                                      class="moz-txt-link-freetext">marcus@snoutfarm.com</a>>
                                    wrote:</p>
                                </div>
                                <blockquote
                                  style="border:none;border-left:solid
                                  #cccccc 1.0pt;padding:0in 0in 0in
6.0pt;margin-left:4.8pt;margin-top:5.0pt;margin-right:0in;margin-bottom:5.0pt">
                                  <p class="MsoNormal">I just don't see
                                    how that is a "loop" except that
                                    repeated application of such a
                                    matrix could lead to oscillation.   
                                    It sounded like somehow causality
                                    was violated and not just obscured.<br>
                                    <br>
                                    -----Original Message-----<br>
                                    From: Friam <<a
                                      href="mailto:friam-bounces@redfish.com"
                                      rel="noreferrer noreferrer"
                                      target="_blank"
                                      moz-do-not-send="true"
                                      class="moz-txt-link-freetext">friam-bounces@redfish.com</a>>
                                    On Behalf Of ? glen<br>
                                    Sent: Sunday, November 28, 2021 3:38
                                    PM<br>
                                    To: The Friday Morning Applied
                                    Complexity Coffee Group <<a
                                      href="mailto:friam@redfish.com"
                                      rel="noreferrer noreferrer"
                                      target="_blank"
                                      moz-do-not-send="true"
                                      class="moz-txt-link-freetext">friam@redfish.com</a>><br>
                                    Subject: Re: [FRIAM] The
                                    epiphenomenality relation<br>
                                    <br>
                                    Right, high dimension. More
                                    important than the matrix being
                                    large is that it has non-zero cross
                                    terms.<br>
                                    <br>
                                    On November 28, 2021 8:42:37 AM PST,
                                    Marcus Daniels <<a
                                      href="mailto:marcus@snoutfarm.com"
                                      rel="noreferrer noreferrer"
                                      target="_blank"
                                      moz-do-not-send="true"
                                      class="moz-txt-link-freetext">marcus@snoutfarm.com</a>>
                                    wrote:<br>
                                    >The operators are large (in the
                                    sense of a matrix) whether or not
                                    they are intended to be?<br>
                                    ><br>
                                    >> On Nov 28, 2021, at 6:20
                                    AM, <span
                                      style="font-family:"Segoe UI
                                      Symbol",sans-serif">
                                      ⛧</span> glen <<a
                                      href="mailto:gepropella@gmail.com"
                                      rel="noreferrer noreferrer"
                                      target="_blank"
                                      moz-do-not-send="true"
                                      class="moz-txt-link-freetext">gepropella@gmail.com</a>>
                                    wrote:<br>
                                    >> <br>
                                    >> Any of the evolutionary
                                    operators across scales, from energy
                                    exchange at the finest to ecosystem
                                    reengineering at the coarsest.<br>
                                    >> <br>
                                    >>> On November 27, 2021
                                    7:33:15 AM PST, Marcus Daniels <<a
                                      href="mailto:marcus@snoutfarm.com"
                                      rel="noreferrer noreferrer"
                                      target="_blank"
                                      moz-do-not-send="true"
                                      class="moz-txt-link-freetext">marcus@snoutfarm.com</a>>
                                    wrote:<br>
                                    >>> I’ve heard these words
                                    from you Glen, but I have no idea
                                    what these loops are or what you
                                    might be talking about.<br>
                                    >>> <br>
                                    -- <br>
                                    glen <span
                                      style="font-family:"Segoe UI
                                      Symbol",sans-serif">⛧</span><br>
                                    <br>
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                                    .-- .- -. - / .- -.-. - .. --- -.
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                          <p class="MsoNormal"><br>
                            .-- .- -. - / .- -.-. - .. --- -. ..--.. /
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                  .-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -.
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.-- .- -. - / .- -.-. - .. --- -. ..--.. / -.-. --- -. .--- ..- --. .- - .
FRIAM Applied Complexity Group listserv
Zoom Fridays 9:30a-12p Mtn UTC-6  bit.ly/virtualfriam
un/subscribe <a class="moz-txt-link-freetext" href="http://redfish.com/mailman/listinfo/friam_redfish.com">http://redfish.com/mailman/listinfo/friam_redfish.com</a>
FRIAM-COMIC <a class="moz-txt-link-freetext" href="http://friam-comic.blogspot.com/">http://friam-comic.blogspot.com/</a>
archives:
 5/2017 thru present <a class="moz-txt-link-freetext" href="https://redfish.com/pipermail/friam_redfish.com/">https://redfish.com/pipermail/friam_redfish.com/</a>
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