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    $\begingroup$ Nice! Shouldn't there be another $\Sigma$ for suspension in RHS of (1), in addition to the $\Sigma$ for summation? $\endgroup$ Commented Apr 16, 2025 at 8:19
  • $\begingroup$ Yes. I will correct it. $\endgroup$ Commented Apr 16, 2025 at 9:29
  • $\begingroup$ I don't know what any of this means but I'm curious if "based" is a typo (for "base"). $\endgroup$ Commented Apr 16, 2025 at 9:49
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    $\begingroup$ @mathworker21: a “based space” is a space equipped with a basepoint. This is standard terminology that long predates the political use of the phrase on the internet. $\endgroup$ Commented Apr 16, 2025 at 11:42
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    $\begingroup$ @AndyPutman based! thanks $\endgroup$ Commented Apr 16, 2025 at 12:12