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Abdulkadir Furkan Şanlı 2019-11-04 16:41:08 +01:00
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17 changed files with 127 additions and 92 deletions
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4
content/about.md
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@ -9,5 +9,5 @@ draft: false
- name: Abdulkadir Furkan Şanlı
- handle: abdulocracy
- contact:
- email: my handle at disroot dot org
- irc (freenode): abdulocracy
- email: my handle at disroot dot org
- irc (freenode): abdulocracy

11
content/posts/eidma.mmark
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@ -49,12 +49,13 @@ markup = "mmark"
- $$(p \implies q) \equiv (\neg p \lor q)$$
- $$(\neg q \implies \neg p) \equiv (\neg (\neg q) \lor (\neg p) \equiv (q \lor \neg p) \equiv (\neg p \lor q)$$
- Contradiction law:
- $$p \lor \neg p \equiv 1$$ and $$p \land \neg p \equiv 0$$
- Contradiction law:
- $$p \lor \neg p \equiv 1$$ and $$p \land \neg p \equiv 0$$
- Tautology: $$\phi (p, q, ... r)$$ is a tautology *iff* $$\phi \equiv 1$$
## Sets
- We will consider subsets of universal set $$\mathbb X$$
- $$2^\mathbb X = \{ A : A \subseteq \mathbb X\}$$
- $$2^\mathbb X = P(\mathbb X)$$
@ -84,12 +85,13 @@ markup = "mmark"
- Quip: $$\{ x \in \mathbb R : x^2 = -1\} = \emptyset$$
## Quantifiers
- $$\phi$$ - prepositional function: yields only true or false value
- $$\forall$$ means "for all" and $$\exists$$ means "there exists"
- $$\forall$$
- $$\forall$$:
- Shorthand for $$\land$$ e.g. $$(\forall x \in \{ 1, 2, ... 10 \}) x > 0 \equiv 1 > 0 \land 2 > 0 \land ... 10 > 0$$
- $$\exists$$
- $$\exists$$:
- Shorthand for $$\lor$$ e.g. $$(\exists x \in \{ 1, 2, ... 10 \}) x > 5 \equiv 1 > 5 \lor 2 > 5 \lor ... 10 > 5$$
- $$\neg \forall \equiv \exists$$, vice versa
@ -106,6 +108,7 @@ markup = "mmark"
- Order of quantifiers matters.
## Relations
- Cartesian product:
- $$A \times B = \{ (p, q) : p \in A \land q \in B \}$$

10
layouts/partials/extended_footer.html
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@ -4,7 +4,11 @@ To add an extended footer section, please create
-->
<!-- KaTeX -->
<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>

14
layouts/partials/footer.html
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@ -1,15 +1,16 @@
<footer class="footer">
<div class="footer__inner">
{{ if $.Site.Copyright }}
<div class="copyright copyright--user">
<span>{{ $.Site.Copyright | safeHTML }} :: <a href="https://creativecommons.org/licenses/by-nd/4.0/">CC BY-ND</a></span>
{{else}}
<div class="copyright copyright--user">
<span>{{ $.Site.Copyright | safeHTML }} :: <a href="https://creativecommons.org/licenses/by-nd/4.0/">CC
BY-ND</a></span>
{{else}}
<div class="copyright">
<span>© {{ now.Year }} Powered by <a href="http://gohugo.io">Hugo</a></span>
{{end}}
<span>:: Theme made by <a href="https://twitter.com/panr">panr</a></span>
{{end}}
<span>:: theme by <a href="https://twitter.com/panr">panr</a></span>
</div>
</div>
</div>
</footer>
<script src="{{ "assets/main.js" | absURL }}"></script>
@ -17,4 +18,3 @@
<!-- Extended footer section-->
{{ partial "extended_footer.html" . }}

20
public/about/index.html
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@ -165,12 +165,13 @@
<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>
<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>
<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>
@ -180,14 +181,17 @@
<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>
</body>

20
public/categories/index.html
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@ -148,12 +148,13 @@
<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>
<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>
<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>
@ -163,14 +164,17 @@
<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>
</body>

2
public/categories/index.xml
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@ -1,4 +1,4 @@
<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
<channel>
<title>Categories on abdulocracy&#39;s personal site</title>

22
public/index.html
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@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<meta name="generator" content="Hugo 0.58.3" />
<meta name="generator" content="Hugo 0.59.1" />
<title>abdulocracy&#39;s personal site</title>
@ -190,12 +190,13 @@
<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>
<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>
<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>
@ -205,14 +206,17 @@
<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>
</body>

2
public/index.xml
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@ -1,4 +1,4 @@
<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
<channel>
<title>abdulocracy&#39;s personal site</title>

32
public/posts/eidma/index.html
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@ -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>
<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>
<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>
@ -414,14 +415,17 @@
<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>
</body>

20
public/posts/index.html
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@ -187,12 +187,13 @@
<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>
<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>
<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>
@ -202,14 +203,17 @@
<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>
</body>

2
public/posts/index.xml
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@ -1,4 +1,4 @@
<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom">
<channel>
<title>Posts on abdulocracy&#39;s personal site</title>

2
public/sitemap.xml
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@ -1,4 +1,4 @@
<?xml version="1.0" encoding="utf-8" standalone="yes" ?>
<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<urlset xmlns="http://www.sitemaps.org/schemas/sitemap/0.9"
xmlns:xhtml="http://www.w3.org/1999/xhtml">

20
public/tags/index.html
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@ -148,12 +148,13 @@
<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>
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