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  <updated>2026-10-28T14:57:39Z</updated>
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  <title>Nostr notes by John D. Cook</title>
  <author>
    <name>John D. Cook</name>
  </author>
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      <title type="html">The product of four consecutive Fibonacci numbers equals the ...</title>
    
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      The product of four consecutive Fibonacci numbers equals the product of two consecutive integers. For example,&lt;br/&gt;&lt;br/&gt;3 × 5 × 8 × 13 = 39 × 40.&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2026/09/16/fibonacci-product/&#34;&gt;https://www.johndcook.com/blog/2026/09/16/fibonacci-product/&lt;/a&gt;
    </content>
    <updated>2026-09-16T12:11:31Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsvxvj340j04w7y8smn5wkyhjql0z907hg2lsvv64md6lwq7ml5hrgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kv86z5a</id>
    
      <title type="html">Fitting a regular expression to a list of words ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsvxvj340j04w7y8smn5wkyhjql0z907hg2lsvv64md6lwq7ml5hrgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kv86z5a" />
    <content type="html">
      Fitting a regular expression to a list of words&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2026/07/19/fitting-a-regex/&#34;&gt;https://www.johndcook.com/blog/2026/07/19/fitting-a-regex/&lt;/a&gt;
    </content>
    <updated>2026-07-19T19:32:39Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsvvkw59lhru6zevaw4nm66cmnfnkq6w5mlakt08xnt3q44t2va7wszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k33zl89</id>
    
      <title>Nostr event nevent1qqsvvkw59lhru6zevaw4nm66cmnfnkq6w5mlakt08xnt3q44t2va7wszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k33zl89</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsvvkw59lhru6zevaw4nm66cmnfnkq6w5mlakt08xnt3q44t2va7wszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k33zl89" />
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       &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/116/720/287/848/353/774/original/b20a348119cf1881.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2026-06-09T13:04:17Z</updated>
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  <entry>
    <id>https://nostr.now/nevent1qqsp6vt65yrqfzw7rt3jwnjxxlksjualf9ucjv829qatppkd9yplfcgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kuhvv4q</id>
    
      <title>Nostr event nevent1qqsp6vt65yrqfzw7rt3jwnjxxlksjualf9ucjv829qatppkd9yplfcgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kuhvv4q</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsp6vt65yrqfzw7rt3jwnjxxlksjualf9ucjv829qatppkd9yplfcgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kuhvv4q" />
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      &lt;a href=&#34;https://www.johndcook.com/blog/2026/02/24/a-curious-trig-identity/&#34;&gt;https://www.johndcook.com/blog/2026/02/24/a-curious-trig-identity/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/116/128/226/380/161/184/original/261048f23152e6f8.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2026-02-24T23:35:15Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsrdysldhj2krpr5gz45l39wyhq58yypjg9zclgnx3q6q4nyudg86qzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k4uajgn</id>
    
      <title type="html">A knight&amp;#39;s tour with the fewest possible obtuse angles. ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsrdysldhj2krpr5gz45l39wyhq58yypjg9zclgnx3q6q4nyudg86qzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k4uajgn" />
    <content type="html">
      A knight&amp;#39;s tour with the fewest possible obtuse angles. Reproduced from Donald Knuth&amp;#39;s latest Christmas Lecture.&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/12/31/knights-tour-minimum-obtuse/&#34;&gt;https://www.johndcook.com/blog/2025/12/31/knights-tour-minimum-obtuse/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/115/814/507/542/326/351/original/23258222c8189ce0.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-12-31T13:52:56Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsxd5vpvugvlnd4auheyu4k33t87mz2t3nll6us09u6dcjvkqpl52qzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kg24akk</id>
    
      <title type="html">AI Automation and Validation: Who watches the watchmen? ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsxd5vpvugvlnd4auheyu4k33t87mz2t3nll6us09u6dcjvkqpl52qzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kg24akk" />
    <content type="html">
      AI Automation and Validation: Who watches the watchmen?&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/12/24/automation-and-validation/&#34;&gt;https://www.johndcook.com/blog/2025/12/24/automation-and-validation/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/115/774/962/195/897/472/original/a4973a135436a8b4.jpg&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-12-24T14:16:03Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsfm7x2nphshd07w2rrx9923xup2rxat0s9sv4mx3mz8tcgvg7ywtgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k7unkdj</id>
    
      <title type="html">Monero subaddresses ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsfm7x2nphshd07w2rrx9923xup2rxat0s9sv4mx3mz8tcgvg7ywtgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k7unkdj" />
    <content type="html">
      Monero subaddresses &lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/11/28/monero-subaddresses/&#34;&gt;https://www.johndcook.com/blog/2025/11/28/monero-subaddresses/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/115/629/479/357/786/879/original/37f81c73d0e79e30.jpeg&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-11-28T21:37:26Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsd3y6rkgjf36ffukza5s0xxat2h24xllldw9dqj4srqznu3uxs55qzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kc8zkad</id>
    
      <title type="html">The graph below appears to show that the correlation between two ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsd3y6rkgjf36ffukza5s0xxat2h24xllldw9dqj4srqznu3uxs55qzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kc8zkad" />
    <content type="html">
      The graph below appears to show that the correlation between two stocks peaks about every 50 days. But this is purely an analysis artifact. The two series are in fact independent random walks. Shows how analysis can be misleading.&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/11/09/rolling-correlation/&#34;&gt;https://www.johndcook.com/blog/2025/11/09/rolling-correlation/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/115/521/287/707/766/819/original/b7abbf7ccaba7996.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-11-09T19:03:03Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsxrshfa4k97z6azr9d8gk9yzg34c899cly78v9y6zr2z3r8px4p9szyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k74m2qk</id>
    
      <title type="html">Thanks! Of course we can always repurpose symbols as math ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsxrshfa4k97z6azr9d8gk9yzg34c899cly78v9y6zr2z3r8px4p9szyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k74m2qk" />
    <content type="html">
      In reply to &lt;a href=&#39;/nevent1qqsgmq54knfycvsgd8aedujuqla8jfthz7mlvp2vkp3dklxxt6wy8ygphs0pc&#39;&gt;nevent1q…s0pc&lt;/a&gt;&lt;br/&gt;_________________________&lt;br/&gt;&lt;br/&gt;Thanks! &lt;br/&gt;&lt;br/&gt;Of course we can always repurpose symbols as math symbols. Seems like the new symbol could be useful in infinity category theory. Maybe the upside down symbol could be used for its dual. :)
    </content>
    <updated>2025-09-10T14:03:49Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsys27a2q3rhlvesezm4zjc860y4qpadynk78r63x9ng78k3vc6edqzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kwmx258</id>
    
      <title type="html">An uncrossed knight&amp;#39;s tour From a paper by Donald Knuth ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsys27a2q3rhlvesezm4zjc860y4qpadynk78r63x9ng78k3vc6edqzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kwmx258" />
    <content type="html">
      An uncrossed knight&amp;#39;s tour&lt;br/&gt;From a paper by Donald Knuth&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/08/29/an-uncrossed-knights-tour/&#34;&gt;https://www.johndcook.com/blog/2025/08/29/an-uncrossed-knights-tour/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/115/112/034/551/312/313/original/87b9155f63ce66a4.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-08-29T12:24:19Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsy4nmcnlscm6n40j7cu56x3phzc9nx86wq7gjy3tf6cqqzx8unjwszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k5gtddc</id>
    
      <title type="html">Connection between π and Fibonacci numbers ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsy4nmcnlscm6n40j7cu56x3phzc9nx86wq7gjy3tf6cqqzx8unjwszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k5gtddc" />
    <content type="html">
      Connection between π and Fibonacci numbers&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/114/857/574/776/152/426/original/63a15483e9ea6bae.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-07-15T13:52:15Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqs8ccj207rqlfyxrmuvcp2yz6sl9crr4jrv3npttpvfhdk0f7tjrcgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kfxsrw7</id>
    
      <title type="html">What exactly is Bitcoin&amp;#39;s proof-of-work task? Popular ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqs8ccj207rqlfyxrmuvcp2yz6sl9crr4jrv3npttpvfhdk0f7tjrcgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kfxsrw7" />
    <content type="html">
      What exactly is Bitcoin&amp;#39;s proof-of-work task?&lt;br/&gt;&lt;br/&gt;Popular descriptions aren&amp;#39;t quite right.&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/06/20/bitcoin-proof-of-work/&#34;&gt;https://www.johndcook.com/blog/2025/06/20/bitcoin-proof-of-work/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/114/715/970/469/922/169/original/ef15e5777cda236f.jpg&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-06-20T13:40:15Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsqmrnpe6l9wdhst56dz6zjsj0tcs0m3lmxry56xj2e6lr6dj40ztszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kd6kw7n</id>
    
      <title type="html">Special solutions to the 8 queens problem ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsqmrnpe6l9wdhst56dz6zjsj0tcs0m3lmxry56xj2e6lr6dj40ztszyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kd6kw7n" />
    <content type="html">
      Special solutions to the 8 queens problem&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/05/11/eight-queens-symmetry/&#34;&gt;https://www.johndcook.com/blog/2025/05/11/eight-queens-symmetry/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/114/490/282/886/951/425/original/ea2761d2fdf2b5c6.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-05-11T17:04:39Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsve3lsnzstvpy9pyhu3c2hz2axnl2x2r0zcg0f63gugpfayrjldpgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k5l73h3</id>
    
      <title type="html">Multiplication tables and Latin squares ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsve3lsnzstvpy9pyhu3c2hz2axnl2x2r0zcg0f63gugpfayrjldpgzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8k5l73h3" />
    <content type="html">
      Multiplication tables and Latin squares&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2025/02/19/cayley-table-latin-square/&#34;&gt;https://www.johndcook.com/blog/2025/02/19/cayley-table-latin-square/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/114/031/207/628/408/674/original/7c1af80312cf8787.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2025-02-19T15:15:56Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqs87jmw5n369nt0ctk4m09l2hvgku452tltsruqughh7wr2uwyturczyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kfncrkc</id>
    
      <title type="html">Efficiently transferring to a much higher orbit ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqs87jmw5n369nt0ctk4m09l2hvgku452tltsruqughh7wr2uwyturczyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8kfncrkc" />
    <content type="html">
      Efficiently transferring to a much higher orbit&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2024/12/03/bi-elliptic-transfer/&#34;&gt;https://www.johndcook.com/blog/2024/12/03/bi-elliptic-transfer/&lt;/a&gt;&lt;br/&gt; &lt;img src=&#34;https://media.mathstodon.xyz/media_attachments/files/113/589/551/408/471/615/original/4c4de10a9be9e063.png&#34;&gt; &lt;br/&gt;
    </content>
    <updated>2024-12-03T15:16:48Z</updated>
  </entry>

  <entry>
    <id>https://nostr.now/nevent1qqsgufucjt59ttlrg8w4fnxeku5d9ms8ar5ly3qqqrgarlauugjergqzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8khnecr7</id>
    
      <title type="html">Arithmetic, Geometry, Harmony, and Gold ...</title>
    
    <link rel="alternate" href="https://nostr.now/nevent1qqsgufucjt59ttlrg8w4fnxeku5d9ms8ar5ly3qqqrgarlauugjergqzyqht39uwc3thxpashxgv5k5t6u7s09z3y4xvm3l8nd0da8n9fzt8khnecr7" />
    <content type="html">
      Arithmetic, Geometry, Harmony, and Gold&lt;br/&gt;&lt;br/&gt;&lt;a href=&#34;https://www.johndcook.com/blog/2024/09/17/four-means/&#34;&gt;https://www.johndcook.com/blog/2024/09/17/four-means/&lt;/a&gt;
    </content>
    <updated>2024-09-17T14:07:54Z</updated>
  </entry>

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