afk/personal-site
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

Tidy up and regenerate

Browse Source
This commit is contained in:
Abdulkadir Furkan Şanlı
2019-11-04 16:41:08 +01:00
parent f48c36bc8a
commit d7d4efdcbb
17 changed files with 127 additions and 92 deletions
Download Patch File Download Diff File Expand all files Collapse all files

34
public/posts/eidma/index.html
View File

@ -224,19 +224,19 @@
<li><p>Contraposition law:</p>
<ul>
<li><p><span class="math">\((p \implies q) \equiv (\neg q \implies \neg p)\)</span> prove by contraposition</p>
<li><span class="math">\((p \implies q) \equiv (\neg q \implies \neg p)\)</span> prove by contraposition
<ul>
<li><span class="math">\((p \implies q) \equiv (\neg p \lor q)\)</span></li>
<li><span class="math">\((\neg q \implies \neg p) \equiv (\neg (\neg q) \lor (\neg p) \equiv (q \lor \neg p) \equiv (\neg p \lor q)\)</span></li>
</ul></li>
</ul></li>
<li><p>Contradiction law:</p>
<ul>
<li><span class="math">\(p \lor \neg p \equiv 1\)</span> and <span class="math">\(p \land \neg p \equiv 0\)</span></li>
</ul></li>
</ul></li>
<li><p>Tautology: <span class="math">\(\phi (p, q, ... r)\)</span> is a tautology <em>iff</em> <span class="math">\(\phi \equiv 1\)</span></p></li>
</ul>
@ -297,16 +297,16 @@
<li><span class="math">\(\phi\)</span> - prepositional function: yields only true or false value</li>
<li><span class="math">\(\forall\)</span> means &quot;for all&quot; and <span class="math">\(\exists\)</span> means &quot;there exists&quot;</li>
<li><p><span class="math">\[\forall\]</span></p>
<li><p><span class="math">\(\forall\)</span>:</p>
<ul>
<li>Shorthand for <span class="math">\[\land\]</span> e.g. <span class="math">\[(\forall x \in \{ 1, 2, ... 10 \}) x > 0 \equiv 1 > 0 \land 2 > 0 \land ... 10 > 0\]</span></li>
<li>Shorthand for <span class="math">\(\land\)</span> e.g. <span class="math">\((\forall x \in \{ 1, 2, ... 10 \}) x > 0 \equiv 1 > 0 \land 2 > 0 \land ... 10 > 0\)</span></li>
</ul></li>
<li><p><span class="math">\[\exists\]</span></p>
<li><p><span class="math">\(\exists\)</span>:</p>
<ul>
<li>Shorthand for <span class="math">\[\lor\]</span> e.g. <span class="math">\[(\exists x \in \{ 1, 2, ... 10 \}) x > 5 \equiv 1 > 5 \lor 2 > 5 \lor ... 10 > 5\]</span></li>
<li>Shorthand for <span class="math">\(\lor\)</span> e.g. <span class="math">\((\exists x \in \{ 1, 2, ... 10 \}) x > 5 \equiv 1 > 5 \lor 2 > 5 \lor ... 10 > 5\)</span></li>
</ul></li>
<li><p><span class="math">\(\neg \forall \equiv \exists\)</span>, vice versa</p></li>
@ -399,12 +399,13 @@
<footer class="footer">
<div class="footer__inner">
<div class="copyright copyright--user">
<span>© Abdulkadir Furkan Şanlı 2019 :: <a href="https://creativecommons.org/licenses/by-nd/4.0/">CC BY-ND</a></span>
<span>:: Theme made by <a href="https://twitter.com/panr">panr</a></span>
<div class="copyright copyright--user">
<span>© Abdulkadir Furkan Şanlı 2019 :: <a href="https://creativecommons.org/licenses/by-nd/4.0/">CC
BY-ND</a></span>
<span>:: theme by <a href="https://twitter.com/panr">panr</a></span>
</div>
</div>
</div>
</footer>
<script src="https://022385.xyz/assets/main.js"></script>
@ -414,13 +415,16 @@
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/katex.min.css" integrity="sha384-zB1R0rpPzHqg7Kpt0Aljp8JPLqbXI3bhnPWROx27a9N0Ll6ZP/+DiW/UqRcLbRjq" crossorigin="anonymous">
<script defer src="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/katex.min.js" integrity="sha384-y23I5Q6l+B6vatafAwxRu/0oK/79VlbSz7Q9aiSZUvyWYIYsd+qj+o24G5ZU2zJz" crossorigin="anonymous"></script>
<script defer src="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/contrib/auto-render.min.js" integrity="sha384-kWPLUVMOks5AQFrykwIup5lo0m3iMkkHrD0uJ4H5cjeGihAutqP0yW0J6dpFiVkI" crossorigin="anonymous"
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/katex.min.css"
integrity="sha384-zB1R0rpPzHqg7Kpt0Aljp8JPLqbXI3bhnPWROx27a9N0Ll6ZP/+DiW/UqRcLbRjq" crossorigin="anonymous">
<script defer src="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/katex.min.js"
integrity="sha384-y23I5Q6l+B6vatafAwxRu/0oK/79VlbSz7Q9aiSZUvyWYIYsd+qj+o24G5ZU2zJz"
crossorigin="anonymous"></script>
<script defer src="https://cdn.jsdelivr.net/npm/katex@0.11.1/dist/contrib/auto-render.min.js"
integrity="sha384-kWPLUVMOks5AQFrykwIup5lo0m3iMkkHrD0uJ4H5cjeGihAutqP0yW0J6dpFiVkI" crossorigin="anonymous"
onload="renderMathInElement(document.body);"></script>
</div>