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  <updated>2026-05-20T18:33:08Z</updated>
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  <title>Nostr notes by Nat Schaeffer</title>
  <author>
    <name>Nat Schaeffer</name>
  </author>
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  <entry>
    <id>https://yabu.me/nevent1qqsrv28hjzhs4zpxv0szcjwwfn6th9x3d3skv4cedprky9tgceqycjszyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckgc720v</id>
    
      <title type="html">which does not mean F is the smallest Lagrange number ?</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqsrv28hjzhs4zpxv0szcjwwfn6th9x3d3skv4cedprky9tgceqycjszyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckgc720v" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqs9lely9tsxs58lz843cjc97mvt5jry4cfhxz5u5w833qwxfsk3tfcxm6gfx&#39;&gt;nevent1q…6gfx&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;which does not mean F is the smallest Lagrange number ?
    </content>
    <updated>2026-05-10T00:51:44Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqs0yj4hk7at40smtv0p4c40m8j70uehexllwklnxnqax28y8gxwg9czyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckwc0jhk</id>
    
      <title type="html">sorry, I&amp;#39;m lost : You say &amp;#34;the golden ratio has the ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqs0yj4hk7at40smtv0p4c40m8j70uehexllwklnxnqax28y8gxwg9czyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckwc0jhk" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqsw822r49rp8mzecwad7czekhunrlt0yhzxz64j6juvqn28pqm5tdq20ydlt&#39;&gt;nevent1q…ydlt&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;sorry, I&amp;#39;m lost :&lt;br/&gt;You say &amp;#34;the golden ratio has the smallest possible Lagrange number, namely √5&amp;#34;, yet F &amp;gt; sqrt(5)...&lt;br/&gt;And you also say, &amp;#34;F is a Lagrange number and F is the smallest with this property&amp;#34; (I understand &amp;#39;this property&amp;#39; to be &amp;#39;a lagrange number&amp;#39;).&lt;br/&gt;What did I misunderstand?
    </content>
    <updated>2026-05-09T22:21:10Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqs8s0uupm42m4dvtwqrnwdtxvw90ttqtqyxaytevs4e6z8wmh23e2szyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckzaxrll</id>
    
      <title type="html">A stably sratified layer can lead to magnetic field generation ! ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqs8s0uupm42m4dvtwqrnwdtxvw90ttqtqyxaytevs4e6z8wmh23e2szyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckzaxrll" />
    <content type="html">
      A stably sratified layer can lead to magnetic field generation ! This is what we show in a new paper, accepted for publication :&lt;br/&gt;&lt;a href=&#34;https://arxiv.org/abs/2506.18521&#34;&gt;https://arxiv.org/abs/2506.18521&lt;/a&gt;&lt;br/&gt;#astrophysics &lt;br/&gt;The stable layer is prone to double-diffusive unstability, which reconfigures the stable layer into 2 regions, one very stable, and one convective.
    </content>
    <updated>2025-09-08T19:42:38Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqsf50f8n4my9saadrxmqx5araucntv2awmqf6eu2ykk8j0509ky27czyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckfsha38</id>
    
      <title type="html">why is an infrared filter useful to reduce atmospheric turbulence ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqsf50f8n4my9saadrxmqx5araucntv2awmqf6eu2ykk8j0509ky27czyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckfsha38" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqspq3q528jzktc8tusxdhuwxgkxt80lyy4mfjvz9tmpykrsu6jut0q4w9e0c&#39;&gt;nevent1q…9e0c&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;why is an infrared filter useful to reduce atmospheric turbulence ?
    </content>
    <updated>2025-01-15T21:10:29Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqsp4g0jqwpvlp09jm9fu5hxyc0788v0xtmefvp3zfvpnwp8jw2r9agzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckje56vj</id>
    
      <title type="html">ok, I&amp;#39;m a bit disapointed because nobody seems to like liquid ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqsp4g0jqwpvlp09jm9fu5hxyc0788v0xtmefvp3zfvpnwp8jw2r9agzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckje56vj" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqswkrlapgcvwjjue30hw070edvxlqvxl69gjpnu0mf5tlms87np2jsjp9tca&#39;&gt;nevent1q…9tca&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;ok, I&amp;#39;m a bit disapointed because nobody seems to like liquid metals here!&lt;br/&gt;While they are not plasmas they obey the MHD equations. They would lie somewhere near the P and Q of &amp;#34;Quantum Plasmas&amp;#34; or a little bit below.
    </content>
    <updated>2025-01-09T09:49:48Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqszfltva02zmyxq37nwxplgmwmlfw2xdr0z7sej9zg4lhez7zw6mhszyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckze0mee</id>
    
      <title type="html">it is because the fluid/plasma will respond to this force and ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqszfltva02zmyxq37nwxplgmwmlfw2xdr0z7sej9zg4lhez7zw6mhszyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckze0mee" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqswypnhg5xquztmv2u8ac3a67yrcev0mmy4lfaefq3vfqucdgpylts3wsz7d&#39;&gt;nevent1q…sz7d&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;it is because the fluid/plasma will respond to this force and move accordingly.&lt;br/&gt;Then, the induction equation tells you that B is advected by the flow just as if it were material lines, and hence will evolve towards &amp;#34;straight lines&amp;#34;.
    </content>
    <updated>2024-12-26T22:10:04Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqs95tyukczsv3jshga4t28v7cdyk7a8e0a7txy4lkz95lnhfz34rfszyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckxqcrzp</id>
    
      <title type="html">try skred. No phone number or email needed. I find it easy to ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqs95tyukczsv3jshga4t28v7cdyk7a8e0a7txy4lkz95lnhfz34rfszyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckxqcrzp" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqsgf9pauf2ugn6rh2cwnj6nzgk3x9sur2s0z5tp063xlvg9eyzn8zctt0e8v&#39;&gt;nevent1q…0e8v&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;try skred. No phone number or email needed. I find it easy to use.&lt;br/&gt;Super secure, and not from the US.&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.skred.app&#34;&gt;https://www.skred.app&lt;/a&gt;
    </content>
    <updated>2024-11-06T20:58:36Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqsxe2307wqvn7jrufyy7rpgxn8l3wwm6y9np5mpsd07jqfeys49htczyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmck7xw44q</id>
    
      <title type="html">may I point out an obvious bias? Those who have knee problems do ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqsxe2307wqvn7jrufyy7rpgxn8l3wwm6y9np5mpsd07jqfeys49htczyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmck7xw44q" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqsx4dw4v6deutadgjg3h3xkvt9qk0z4dy9rkjsswrdyzpru0prfdrckrlysv&#39;&gt;nevent1q…lysv&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;may I point out an obvious bias? Those who have knee problems do not bike so much, because ... of their knee problem.&lt;br/&gt;&lt;br/&gt;Same for dose-response: you stop biking because of knee problems...
    </content>
    <updated>2024-10-29T19:57:31Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqs9c8enmqwnhnae56w6e2atj3phejh6eh06aehdq0z9mcnrldhu02qzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckam2kc8</id>
    
      <title type="html">so my question is: what is the carbon intensity of solar power &#43; ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqs9c8enmqwnhnae56w6e2atj3phejh6eh06aehdq0z9mcnrldhu02qzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckam2kc8" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqsfpc69tuy3khjlqqjp0g43s58xdm5sgl7vvc64g886gzlv6jg8n9gstxhnm&#39;&gt;nevent1q…xhnm&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;so my question is: what is the carbon intensity of solar power &#43; 4-8 hours battery backup ?&lt;br/&gt;Without battery backup it is already around 40 gCO2/kWh, which is 4x wind and 10x nuclear.
    </content>
    <updated>2024-08-02T12:43:01Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqs8furwxg4pmuadqlc89vk74hlfzwpa62tvenl53mgcdmkg97gcfhgzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmck3v7dqv</id>
    
      <title type="html">so you have 2 hours of solar power that can be stored on ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqs8furwxg4pmuadqlc89vk74hlfzwpa62tvenl53mgcdmkg97gcfhgzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmck3v7dqv" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqsvkn0323hqv2vse5jvxg9prtg9jzzky8xx4vny97w72prj982kplc9scx7j&#39;&gt;nevent1q…cx7j&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;so you have 2 hours of solar power that can be stored on batteries ? How does that make a difference in:&lt;br/&gt;1) satisfying power demand&lt;br/&gt;2) carbon footprint of the whole system&lt;br/&gt;&lt;br/&gt;For 1) it probably allows to use less fossils for the peak of daily demand.&lt;br/&gt;For 2) it will have a negative impact at the fabrication level. Can 1) be enough to offset 2) completely? I don&amp;#39;t know. &lt;br/&gt;Anyway, 2h of battery backup does not help the seasonal problem at all...
    </content>
    <updated>2024-08-02T08:25:19Z</updated>
  </entry>

  <entry>
    <id>https://yabu.me/nevent1qqsx3mdumzectk0mjfee38darlqkau5xupr6te6ejhwe6lfqej4zumgzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckpnhgt8</id>
    
      <title type="html">What does &amp;#34;battery capacity to the tune of 10% of their ...</title>
    
    <link rel="alternate" href="https://yabu.me/nevent1qqsx3mdumzectk0mjfee38darlqkau5xupr6te6ejhwe6lfqej4zumgzyqw64z7un9m2pd5m3rnl3n5skp7tkwv8xrvjxhe3cq32s5c97hmckpnhgt8" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqs2kn6erm3j9h867f5lvz9nghn00geve0umyce3vflc9n6rw7y5xyqv0ds3t&#39;&gt;nevent1q…ds3t&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;What does &amp;#34;battery capacity to the tune of 10% of their maximum output&amp;#34; mean?&lt;br/&gt;Battery capacity = energy (e.g. in Wh); power output is power (in W).&lt;br/&gt;&lt;br/&gt;So is it 10% of annual energy output? Daily output? These are VERY different.&lt;br/&gt;&lt;br/&gt;Solar electricity may be interesting because of a relatively low carbon footprint (although around 4x larger than wind and 10x larger than nuclear).&lt;br/&gt;Adding batteries increases carbon footprint a lot.
    </content>
    <updated>2024-08-01T23:15:49Z</updated>
  </entry>

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