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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>
  </author>
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  <updated>2025-11-04T13:07:59Z</updated>
  <dw:journal username="kokulife" type="personal"/>
  <entry>
    <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="combinatorics"/>
    <category term="binomial theorem"/>
    <category term="qualifiers"/>
    <category term="combinations"/>
    <category term="nmai069"/>
    <category term="ndmi002"/>
    <category term="relations"/>
    <category term="inclusion exclusion principle"/>
    <category term="factorial"/>
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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>
  </entry>
  <entry>
    <id>tag:dreamwidth.org,2025-10-04:4245574:2949</id>
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    <title>Monday 2025-10-20</title>
    <published>2025-10-23T13:16:09Z</published>
    <updated>2025-10-23T13:53:46Z</updated>
    <category term="ndmi002"/>
    <category term="equivalence relations"/>
    <category term="nmai069"/>
    <category term="binary relations"/>
    <category term="power set"/>
    <category term="permutations"/>
    <category term="combinatorics"/>
    <category term="functions"/>
    <category term="propositinal logic"/>
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    <content type="html">alright, i've put off writing blog posts for a bit, but i'm back!! gonna write all of monday to thursday right now on the train&lt;br /&gt;&lt;p&gt;NMAI069 (Mathematical skills) - had a quiz on propositional logic, was simple, after that we went over something or other..&lt;/p&gt;&lt;br /&gt;&lt;p&gt;NDMI002 (Discrete mathematics) [lecture] - finished binary relations with the theorem "about the long and broad" proving that the product of the width and the length of a partially ordered is greater than or equal to the its size, then we started with combinatorial counting, permutation is bijection of X -&amp;gt; X, then something about power sets&lt;/p&gt;&lt;br /&gt;&lt;p&gt;NDMI002 (Discrete mathematics) [tutorial] - a quiz, i felt rather confident with my solutions, but then the teacher wrote the best solution and they were much more elegant than mine.. after we did some exercises on functions and equivalence relations and didn't have time to get to the partially ordered sets&lt;/p&gt;&lt;br /&gt;&lt;hr&gt;&lt;br /&gt;koku daily message:&lt;br /&gt;time is fuel&lt;br /&gt;&lt;br /&gt;&lt;img src="https://www.dreamwidth.org/tools/commentcount?user=kokulife&amp;ditemid=2949" width="30" height="12" alt="comment count unavailable" style="vertical-align: middle;"/&gt; comments</content>
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