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      <title>The Hilbert Notebooks</title>
      <link>https://ashfak-hossain.github.io/codex</link>
      <description>Last 10 notes on The Hilbert Notebooks</description>
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    <title>Home</title>
    <link>https://ashfak-hossain.github.io/codex/Home</link>
    <guid>https://ashfak-hossain.github.io/codex/Home</guid>
    <description><![CDATA[  ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
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    <title>Combinatorics</title>
    <link>https://ashfak-hossain.github.io/codex/Mathematics/Combinatorics/</link>
    <guid>https://ashfak-hossain.github.io/codex/Mathematics/Combinatorics/</guid>
    <description><![CDATA[ The art of counting without listing — from the two basic counting rules through permutations, binomial coefficients, and inclusion–exclusion. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Euclidean Algorithms</title>
    <link>https://ashfak-hossain.github.io/codex/Mathematics/Euclidean-Algorithms/</link>
    <guid>https://ashfak-hossain.github.io/codex/Mathematics/Euclidean-Algorithms/</guid>
    <description><![CDATA[ The GCD and its extension — the oldest algorithms in mathematics, and the foundation the modular-arithmetic chapter is built on. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Modular Arithmetic</title>
    <link>https://ashfak-hossain.github.io/codex/Mathematics/Modular-Arithmetic/</link>
    <guid>https://ashfak-hossain.github.io/codex/Mathematics/Modular-Arithmetic/</guid>
    <description><![CDATA[ Arithmetic on a clock — congruences, fast exponentiation, modular inverses, linear congruences, and systems of them via the Chinese Remainder Theorem. The machinery every modular algorithm runs on. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Primes</title>
    <link>https://ashfak-hossain.github.io/codex/Mathematics/Primes/</link>
    <guid>https://ashfak-hossain.github.io/codex/Mathematics/Primes/</guid>
    <description><![CDATA[ The building blocks of the integers — sieving them, testing primality, factoring, and counting coprimes with Euler's totient. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Mathematics</title>
    <link>https://ashfak-hossain.github.io/codex/Mathematics/</link>
    <guid>https://ashfak-hossain.github.io/codex/Mathematics/</guid>
    <description><![CDATA[ Mathematics notes for competitive programming and interviews — a complete number-theory track across three chapters, plus a complete combinatorics chapter. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Address Resolution</title>
    <link>https://ashfak-hossain.github.io/codex/Networking/Address-Resolution/</link>
    <guid>https://ashfak-hossain.github.io/codex/Networking/Address-Resolution/</guid>
    <description><![CDATA[ Mapping a logical IPv4 address to the physical hardware address a network card actually uses to deliver a frame on the local link. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Host Configuration</title>
    <link>https://ashfak-hossain.github.io/codex/Networking/Host-Configuration/</link>
    <guid>https://ashfak-hossain.github.io/codex/Networking/Host-Configuration/</guid>
    <description><![CDATA[ How a host that has just joined a network obtains an IP address, subnet mask, default gateway, and DNS servers — automatically, and before it has any address of its own. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>Networking</title>
    <link>https://ashfak-hossain.github.io/codex/Networking/</link>
    <guid>https://ashfak-hossain.github.io/codex/Networking/</guid>
    <description><![CDATA[ Notes on how machines talk to each other - starting with the two protocols that make a local network usable: ARP for finding a neighbour's hardware address, and DHCP for handing out the IP address in the first place. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
  </item><item>
    <title>The Hilbert Notebooks</title>
    <link>https://ashfak-hossain.github.io/codex/</link>
    <guid>https://ashfak-hossain.github.io/codex/</guid>
    <description><![CDATA[ Ashfak Hossain's personal blog — math, code, and quiet thinking. ]]></description>
    <pubDate>Tue, 26 May 2026 06:36:20 GMT</pubDate>
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