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  <id>tag:dreamwidth.org,2025-10-04:4245574</id>
  <title>koku's life journal</title>
  <subtitle>studying notes and such</subtitle>
  <author>
    <name>Koku!</name>
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  <updated>2025-11-04T13:07:59Z</updated>
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    <id>tag:dreamwidth.org,2025-10-04:4245574:4275</id>
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    <title>Monday 2025-10-27</title>
    <published>2025-10-30T19:11:23Z</published>
    <updated>2025-11-04T13:07:59Z</updated>
    <category term="factorial"/>
    <category term="relations"/>
    <category term="ndmi002"/>
    <category term="qualifiers"/>
    <category term="binomial theorem"/>
    <category term="inclusion exclusion principle"/>
    <category term="nmai069"/>
    <category term="combinations"/>
    <category term="combinatorics"/>
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    <content type="html">&lt;p&gt;NMAI069 (Mathematical skills) - got 19/20 on the quiz! after we wrote some statements using qualifiers or something..&lt;/p&gt;&lt;br /&gt;&lt;p&gt;NDMI002 (Discrete mathematics) [lecture] - proof of the binomial theorem using induction, amount of permutations of poker cards (even without the jokers) is more than the amount of atoms on earth! approximations of factorial its between e(n/e)^n and en(n/e)^n and it's approximately sqrt(2pi)n(n/e)^n which is head exploding emoji, approximations of binomial coefficients.. inclusion exclusion principle and its proof, application of it by counting the amount of numbers divisible by 2 or 3 or 5 under 120&lt;/p&gt;&lt;br /&gt;&lt;p&gt;NDMI002 (Discrete mathematics) [tutorial] - finished relations and moved unto combinatorics, more specifically solving equations containing combinations by coming up with good use cases of both sides and proving they describe the same reality&lt;/p&gt;&lt;br /&gt;&lt;hr&gt;&lt;br /&gt;koku daily message:&lt;br /&gt;break glass in case of emergency&lt;br /&gt;&lt;br /&gt;&lt;img src="https://www.dreamwidth.org/tools/commentcount?user=kokulife&amp;ditemid=4275" width="30" height="12" alt="comment count unavailable" style="vertical-align: middle;"/&gt; comments</content>
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