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	<id>https://internal.dailitation.xyz/mediawiki/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Techit</id>
	<title>Internal Dandelion and stuff Wiki - User contributions [en]</title>
	<link rel="self" type="application/atom+xml" href="https://internal.dailitation.xyz/mediawiki/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Techit"/>
	<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/wiki/Special:Contributions/Techit"/>
	<updated>2026-05-28T07:39:24Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Our_team&amp;diff=93</id>
		<title>Our team</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Our_team&amp;diff=93"/>
		<updated>2025-09-28T06:40:03Z</updated>

		<summary type="html">&lt;p&gt;Techit: /* Techit */  link Techit to user page&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to a directory for dailitation.xyz team.&lt;br /&gt;
&lt;br /&gt;
== [[User:Diskette|Diskette Guy the Administrator]] ==&lt;br /&gt;
This person is responsible for this project&#039;s (dailitation.xyz) initiation. They do most of the works, administration, and financing.&lt;br /&gt;
&lt;br /&gt;
=== Administration ===&lt;br /&gt;
They do physical hardware administration, including but not limited to, networking and hardware installation.&lt;br /&gt;
&lt;br /&gt;
On the software side, they do software configurations with GNU/Linux.&lt;br /&gt;
&lt;br /&gt;
== [[User:Techit|Techit]] ==&lt;br /&gt;
Techit, or TechitWinner is responsible for breaking whatever Diskette have made. (temporary)&lt;br /&gt;
&lt;br /&gt;
== LinesOfCodes ==&lt;br /&gt;
LinesOfCodes, or referred to as GameCreator on Discord, is responsible for doing whatever reasonable things Diskette assigned to her.&lt;br /&gt;
&lt;br /&gt;
She is also responsible for making too many web applications and maintaining them.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Our_team&amp;diff=92</id>
		<title>Our team</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Our_team&amp;diff=92"/>
		<updated>2025-09-10T07:18:37Z</updated>

		<summary type="html">&lt;p&gt;Techit: Add techit&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to a directory for dailitation.xyz team.&lt;br /&gt;
&lt;br /&gt;
== [[User:Diskette|Diskette Guy the Administrator]] ==&lt;br /&gt;
This person is responsible for this project&#039;s (dailitation.xyz) initiation. They do most of the works, administration, and financing.&lt;br /&gt;
&lt;br /&gt;
=== Administration ===&lt;br /&gt;
They do physical hardware administration, including but not limited to, networking and hardware installation.&lt;br /&gt;
&lt;br /&gt;
On the software side, they do software configurations with GNU/Linux.&lt;br /&gt;
&lt;br /&gt;
== Techit ==&lt;br /&gt;
Techit, or TechitWinner is responsible for breaking whatever Diskette have made. (temporary)&lt;br /&gt;
&lt;br /&gt;
== LinesOfCodes ==&lt;br /&gt;
LinesOfCodes, or referred to as GameCreator on Discord, is responsible for doing whatever reasonable things Diskette assigned to her.&lt;br /&gt;
&lt;br /&gt;
She is also responsible for making too many web applications and maintaining them.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=84</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=84"/>
		<updated>2025-07-09T11:39:08Z</updated>

		<summary type="html">&lt;p&gt;Techit: add more example of statement&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9\}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dots, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dots&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Union_(set_theory)|Union]] =====&lt;br /&gt;
The union of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; is a set of elements which are in &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;, in &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, or in the both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;A=\{1,3,5,7,9,10\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6,8,10\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A\cup B = \{1,2,3,4,5,6,7,8,9,10\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Complement_(set_theory)|Complement]] =====&lt;br /&gt;
The complement of &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is to everything but &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;\mathbb{U}=\{1,2,\dots,9\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;A=\{1,3,5,7\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A&#039; = \{2,4,6,8,9\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Mathematical_logic|Mathematical logic]] ===&lt;br /&gt;
Mathematical logic is ตรรกศาสตร์ in Thai; ok? In this topic we will see more symbol to remember (more migraines).&lt;br /&gt;
&lt;br /&gt;
==== Statement ====&lt;br /&gt;
A statement is not your bank statements but an anything that can only be true or false (or boolean; for computer nerd). These are the example of a statement:&lt;br /&gt;
&lt;br /&gt;
# 1 is a prime number. (false)&lt;br /&gt;
# 2 is a prime number. (true)&lt;br /&gt;
# Mushroom is a fungi (true)&lt;br /&gt;
&lt;br /&gt;
== Physics ==&lt;br /&gt;
This field of study happen to be exist because an apple fell onto Isaac&#039;s head.&lt;br /&gt;
&lt;br /&gt;
==== Scientific notation ====&lt;br /&gt;
This is nothing much, just some number shorteners.&lt;br /&gt;
&lt;br /&gt;
===== Conversion =====&lt;br /&gt;
This is very important, you need to know. Say you want to convert &amp;lt;math&amp;gt;3.56 * 10^{15}\ ng&amp;lt;/math&amp;gt; (nano gram) to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; (kilo gram); what you need to do is you convert to the &amp;lt;math&amp;gt;ng&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; first. Take a look at the SI prefixes table below, multiply &amp;lt;math&amp;gt;3.56*10^{15}&amp;lt;/math&amp;gt; with the exponent of that converting prefix; &amp;quot;nano&amp;quot; here.  &amp;lt;math&amp;gt;3.56*10^{15}*10^{-9}&amp;lt;/math&amp;gt;, boom you got &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Next convert &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; by dividing &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt; by &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; (kilo), you got &amp;lt;math&amp;gt;\frac{3.56*10^{6}}{10^{3}}&amp;lt;/math&amp;gt;. Then you must invert the &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt; and from dividing to multiplying so you got &amp;lt;math&amp;gt;3.56*10^{6} * 10^{-3}&amp;lt;/math&amp;gt;, and the final answer will be &amp;lt;math&amp;gt;3.56*10^{3}\ kg&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===== Metric prefix =====&lt;br /&gt;
We use this to write instead of long numbers e.g. &amp;lt;math&amp;gt;1,000,000\ \text{bytes}= 1 * 10^{6}\ \text{bytes}\ =\ 1\ \text{mega bytes}&amp;lt;/math&amp;gt;. We use [[wikipedia:International_System_of_Units#Prefixes|International System of Units]]&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+SI prefixes&lt;br /&gt;
!Prefix&lt;br /&gt;
!Initial&lt;br /&gt;
!Decimal&lt;br /&gt;
!Exponent Form&lt;br /&gt;
|-&lt;br /&gt;
|Exa&lt;br /&gt;
|E&lt;br /&gt;
|1,000,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Peta&lt;br /&gt;
|P&lt;br /&gt;
|1,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Tera&lt;br /&gt;
|T&lt;br /&gt;
|1,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Giga&lt;br /&gt;
|G&lt;br /&gt;
|1,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Mega&lt;br /&gt;
|M&lt;br /&gt;
|1,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Kilo&lt;br /&gt;
|k&lt;br /&gt;
|1,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Hecto&lt;br /&gt;
|h&lt;br /&gt;
|100&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deca&lt;br /&gt;
|da&lt;br /&gt;
|10&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| -&lt;br /&gt;
| -&lt;br /&gt;
|1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{0}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deci&lt;br /&gt;
|d&lt;br /&gt;
|0.1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Centi&lt;br /&gt;
|c&lt;br /&gt;
|0.01&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Milli&lt;br /&gt;
|m&lt;br /&gt;
|0.001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Micro&lt;br /&gt;
|μ&lt;br /&gt;
|0.0000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Nano&lt;br /&gt;
|n&lt;br /&gt;
|0.000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Pico&lt;br /&gt;
|p&lt;br /&gt;
|0.00000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Femto&lt;br /&gt;
|f&lt;br /&gt;
|0.0000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Atto&lt;br /&gt;
|a&lt;br /&gt;
|0.00000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Biology ==&lt;br /&gt;
I do not understand much on this field of study, but I&#039;ll try to dump it as much as possible...&lt;br /&gt;
&lt;br /&gt;
==== Atoms, molecules and compounds ====&lt;br /&gt;
I have no idea.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/common.css&amp;diff=83</id>
		<title>User:Techit/common.css</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/common.css&amp;diff=83"/>
		<updated>2025-07-09T11:27:26Z</updated>

		<summary type="html">&lt;p&gt;Techit: add a rule to disable math&amp;#039;s stupid syntax preview&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;math span.ve-ce-focusableNode-invisibleIcon.oo-ui-widget.oo-ui-widget-enabled.oo-ui-buttonElement.oo-ui-buttonElement-frameless.oo-ui-iconElement.oo-ui-buttonWidget.oo-ui-labelElement {&lt;br /&gt;
    display: none !important;&lt;br /&gt;
    pointer-events: none;&lt;br /&gt;
}&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=82</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=82"/>
		<updated>2025-07-09T11:17:37Z</updated>

		<summary type="html">&lt;p&gt;Techit: added mathematical logic to math field&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9\}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dots, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dots&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Union_(set_theory)|Union]] =====&lt;br /&gt;
The union of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; is a set of elements which are in &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;, in &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, or in the both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;A=\{1,3,5,7,9,10\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6,8,10\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A\cup B = \{1,2,3,4,5,6,7,8,9,10\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Complement_(set_theory)|Complement]] =====&lt;br /&gt;
The complement of &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is to everything but &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;\mathbb{U}=\{1,2,\dots,9\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;A=\{1,3,5,7\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A&#039; = \{2,4,6,8,9\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Mathematical_logic|Mathematical logic]] ===&lt;br /&gt;
Mathematical logic is ตรรกศาสตร์ in Thai; ok? In this topic we will see more symbol to remember (more migraines).&lt;br /&gt;
&lt;br /&gt;
==== Statement ====&lt;br /&gt;
A statement is not your bank statements but an anything that can only be true or false (or boolean; for computer nerd)&lt;br /&gt;
&lt;br /&gt;
== Physics ==&lt;br /&gt;
This field of study happen to be exist because an apple fell onto Isaac&#039;s head.&lt;br /&gt;
&lt;br /&gt;
==== Scientific notation ====&lt;br /&gt;
This is nothing much, just some number shorteners.&lt;br /&gt;
&lt;br /&gt;
===== Conversion =====&lt;br /&gt;
This is very important, you need to know. Say you want to convert &amp;lt;math&amp;gt;3.56 * 10^{15}\ ng&amp;lt;/math&amp;gt; (nano gram) to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; (kilo gram); what you need to do is you convert to the &amp;lt;math&amp;gt;ng&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; first. Take a look at the SI prefixes table below, multiply &amp;lt;math&amp;gt;3.56*10^{15}&amp;lt;/math&amp;gt; with the exponent of that converting prefix; &amp;quot;nano&amp;quot; here.  &amp;lt;math&amp;gt;3.56*10^{15}*10^{-9}&amp;lt;/math&amp;gt;, boom you got &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Next convert &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; by dividing &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt; by &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; (kilo), you got &amp;lt;math&amp;gt;\frac{3.56*10^{6}}{10^{3}}&amp;lt;/math&amp;gt;. Then you must invert the &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt; and from dividing to multiplying so you got &amp;lt;math&amp;gt;3.56*10^{6} * 10^{-3}&amp;lt;/math&amp;gt;, and the final answer will be &amp;lt;math&amp;gt;3.56*10^{3}\ kg&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===== Metric prefix =====&lt;br /&gt;
We use this to write instead of long numbers e.g. &amp;lt;math&amp;gt;1,000,000\ \text{bytes}= 1 * 10^{6}\ \text{bytes}\ =\ 1\ \text{mega bytes}&amp;lt;/math&amp;gt;. We use [[wikipedia:International_System_of_Units#Prefixes|International System of Units]]&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+SI prefixes&lt;br /&gt;
!Prefix&lt;br /&gt;
!Initial&lt;br /&gt;
!Decimal&lt;br /&gt;
!Exponent Form&lt;br /&gt;
|-&lt;br /&gt;
|Exa&lt;br /&gt;
|E&lt;br /&gt;
|1,000,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Peta&lt;br /&gt;
|P&lt;br /&gt;
|1,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Tera&lt;br /&gt;
|T&lt;br /&gt;
|1,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Giga&lt;br /&gt;
|G&lt;br /&gt;
|1,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Mega&lt;br /&gt;
|M&lt;br /&gt;
|1,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Kilo&lt;br /&gt;
|k&lt;br /&gt;
|1,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Hecto&lt;br /&gt;
|h&lt;br /&gt;
|100&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deca&lt;br /&gt;
|da&lt;br /&gt;
|10&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| -&lt;br /&gt;
| -&lt;br /&gt;
|1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{0}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deci&lt;br /&gt;
|d&lt;br /&gt;
|0.1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Centi&lt;br /&gt;
|c&lt;br /&gt;
|0.01&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Milli&lt;br /&gt;
|m&lt;br /&gt;
|0.001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Micro&lt;br /&gt;
|μ&lt;br /&gt;
|0.0000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Nano&lt;br /&gt;
|n&lt;br /&gt;
|0.000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Pico&lt;br /&gt;
|p&lt;br /&gt;
|0.00000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Femto&lt;br /&gt;
|f&lt;br /&gt;
|0.0000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Atto&lt;br /&gt;
|a&lt;br /&gt;
|0.00000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Biology ==&lt;br /&gt;
I do not understand much on this field of study, but I&#039;ll try to dump it as much as possible...&lt;br /&gt;
&lt;br /&gt;
==== Atoms, molecules and compounds ====&lt;br /&gt;
I have no idea.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=81</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=81"/>
		<updated>2025-06-26T12:43:05Z</updated>

		<summary type="html">&lt;p&gt;Techit: /* Conversion */  fix spacing&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9\}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dots, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dots&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Union_(set_theory)|Union]] =====&lt;br /&gt;
The union of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; is a set of elements which are in &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;, in &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, or in the both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;A=\{1,3,5,7,9,10\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6,8,10\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A\cup B = \{1,2,3,4,5,6,7,8,9,10\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Complement_(set_theory)|Complement]] =====&lt;br /&gt;
The complement of &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is to everything but &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;\mathbb{U}=\{1,2,\dots,9\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;A=\{1,3,5,7\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A&#039; = \{2,4,6,8,9\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
== Physics ==&lt;br /&gt;
This field of study happen to be exist because an apple fell onto Isaac&#039;s head.&lt;br /&gt;
&lt;br /&gt;
==== Scientific notation ====&lt;br /&gt;
This is nothing much, just some number shorteners.&lt;br /&gt;
&lt;br /&gt;
===== Conversion =====&lt;br /&gt;
This is very important, you need to know. Say you want to convert &amp;lt;math&amp;gt;3.56 * 10^{15}\ ng&amp;lt;/math&amp;gt; (nano gram) to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; (kilo gram); what you need to do is you convert to the &amp;lt;math&amp;gt;ng&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; first. Take a look at the SI prefixes table below, multiply &amp;lt;math&amp;gt;3.56*10^{15}&amp;lt;/math&amp;gt; with the exponent of that converting prefix; &amp;quot;nano&amp;quot; here.  &amp;lt;math&amp;gt;3.56*10^{15}*10^{-9}&amp;lt;/math&amp;gt;, boom you got &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Next convert &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; by dividing &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt; by &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; (kilo), you got &amp;lt;math&amp;gt;\frac{3.56*10^{6}}{10^{3}}&amp;lt;/math&amp;gt;. Then you must invert the &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt; and from dividing to multiplying so you got &amp;lt;math&amp;gt;3.56*10^{6} * 10^{-3}&amp;lt;/math&amp;gt;, and the final answer will be &amp;lt;math&amp;gt;3.56*10^{3}\ kg&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===== Metric prefix =====&lt;br /&gt;
We use this to write instead of long numbers e.g. &amp;lt;math&amp;gt;1,000,000\ \text{bytes}= 1 * 10^{6}\ \text{bytes}\ =\ 1\ \text{mega bytes}&amp;lt;/math&amp;gt;. We use [[wikipedia:International_System_of_Units#Prefixes|International System of Units]]&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+SI prefixes&lt;br /&gt;
!Prefix&lt;br /&gt;
!Initial&lt;br /&gt;
!Decimal&lt;br /&gt;
!Exponent Form&lt;br /&gt;
|-&lt;br /&gt;
|Exa&lt;br /&gt;
|E&lt;br /&gt;
|1,000,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Peta&lt;br /&gt;
|P&lt;br /&gt;
|1,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Tera&lt;br /&gt;
|T&lt;br /&gt;
|1,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Giga&lt;br /&gt;
|G&lt;br /&gt;
|1,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Mega&lt;br /&gt;
|M&lt;br /&gt;
|1,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Kilo&lt;br /&gt;
|k&lt;br /&gt;
|1,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Hecto&lt;br /&gt;
|h&lt;br /&gt;
|100&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deca&lt;br /&gt;
|da&lt;br /&gt;
|10&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| -&lt;br /&gt;
| -&lt;br /&gt;
|1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{0}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deci&lt;br /&gt;
|d&lt;br /&gt;
|0.1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Centi&lt;br /&gt;
|c&lt;br /&gt;
|0.01&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Milli&lt;br /&gt;
|m&lt;br /&gt;
|0.001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Micro&lt;br /&gt;
|μ&lt;br /&gt;
|0.0000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Nano&lt;br /&gt;
|n&lt;br /&gt;
|0.000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Pico&lt;br /&gt;
|p&lt;br /&gt;
|0.00000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Femto&lt;br /&gt;
|f&lt;br /&gt;
|0.0000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Atto&lt;br /&gt;
|a&lt;br /&gt;
|0.00000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Biology ==&lt;br /&gt;
I do not understand much on this field of study, but I&#039;ll try to dump it as much as possible...&lt;br /&gt;
&lt;br /&gt;
==== Atoms, molecules and compounds ====&lt;br /&gt;
I have no idea.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=80</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=80"/>
		<updated>2025-06-26T12:42:14Z</updated>

		<summary type="html">&lt;p&gt;Techit: /* Scientific notation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9\}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dots, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dots&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Union_(set_theory)|Union]] =====&lt;br /&gt;
The union of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; is a set of elements which are in &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;, in &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, or in the both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;A=\{1,3,5,7,9,10\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6,8,10\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A\cup B = \{1,2,3,4,5,6,7,8,9,10\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Complement_(set_theory)|Complement]] =====&lt;br /&gt;
The complement of &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is to everything but &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;\mathbb{U}=\{1,2,\dots,9\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;A=\{1,3,5,7\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A&#039; = \{2,4,6,8,9\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
== Physics ==&lt;br /&gt;
This field of study happen to be exist because an apple fell onto Isaac&#039;s head.&lt;br /&gt;
&lt;br /&gt;
==== Scientific notation ====&lt;br /&gt;
This is nothing much, just some number shorteners.&lt;br /&gt;
&lt;br /&gt;
===== Conversion =====&lt;br /&gt;
This is very important, you need to know. Say you want to convert &amp;lt;math&amp;gt;3.56 * 10^{15}\ ng&amp;lt;/math&amp;gt; (nano gram) to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; (kilo gram); what you need to do is you convert to the &amp;lt;math&amp;gt;ng&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; first. Take a look at the SI prefixes table below, multiply &amp;lt;math&amp;gt;3.56*10^{15}&amp;lt;/math&amp;gt; with the exponent of that converting prefix; &amp;quot;nano&amp;quot; here.  &amp;lt;math&amp;gt;3.56*10^{15}*10^{-9}&amp;lt;/math&amp;gt;, boom you got &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt;. Next convert &amp;lt;math&amp;gt;g&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;kg&amp;lt;/math&amp;gt; by dividing &amp;lt;math&amp;gt;3.56*10^{6}\ g&amp;lt;/math&amp;gt; by &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; (kilo), you got &amp;lt;math&amp;gt;\frac{3.56*10^{6}}{10^{3}}&amp;lt;/math&amp;gt;. Then you must invert the &amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt; and from dividing to multiplying so you got &amp;lt;math&amp;gt;3.56*10^{6} * 10^{-3}&amp;lt;/math&amp;gt;, and the final answer will be &amp;lt;math&amp;gt;3.56*10^{3}\ kg&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===== Metric prefix =====&lt;br /&gt;
We use this to write instead of long numbers e.g. &amp;lt;math&amp;gt;1,000,000\ \text{bytes}= 1 * 10^{6}\ \text{bytes}\ =\ 1\ \text{mega bytes}&amp;lt;/math&amp;gt;. We use [[wikipedia:International_System_of_Units#Prefixes|International System of Units]]&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+SI prefixes&lt;br /&gt;
!Prefix&lt;br /&gt;
!Initial&lt;br /&gt;
!Decimal&lt;br /&gt;
!Exponent Form&lt;br /&gt;
|-&lt;br /&gt;
|Exa&lt;br /&gt;
|E&lt;br /&gt;
|1,000,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Peta&lt;br /&gt;
|P&lt;br /&gt;
|1,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Tera&lt;br /&gt;
|T&lt;br /&gt;
|1,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Giga&lt;br /&gt;
|G&lt;br /&gt;
|1,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Mega&lt;br /&gt;
|M&lt;br /&gt;
|1,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Kilo&lt;br /&gt;
|k&lt;br /&gt;
|1,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Hecto&lt;br /&gt;
|h&lt;br /&gt;
|100&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deca&lt;br /&gt;
|da&lt;br /&gt;
|10&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| -&lt;br /&gt;
| -&lt;br /&gt;
|1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{0}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deci&lt;br /&gt;
|d&lt;br /&gt;
|0.1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Centi&lt;br /&gt;
|c&lt;br /&gt;
|0.01&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Milli&lt;br /&gt;
|m&lt;br /&gt;
|0.001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Micro&lt;br /&gt;
|μ&lt;br /&gt;
|0.0000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Nano&lt;br /&gt;
|n&lt;br /&gt;
|0.000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Pico&lt;br /&gt;
|p&lt;br /&gt;
|0.00000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Femto&lt;br /&gt;
|f&lt;br /&gt;
|0.0000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Atto&lt;br /&gt;
|a&lt;br /&gt;
|0.00000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Biology ==&lt;br /&gt;
I do not understand much on this field of study, but I&#039;ll try to dump it as much as possible...&lt;br /&gt;
&lt;br /&gt;
==== Atoms, molecules and compounds ====&lt;br /&gt;
I have no idea.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=79</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=79"/>
		<updated>2025-06-26T12:24:42Z</updated>

		<summary type="html">&lt;p&gt;Techit: added biology&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9\}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dots, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dots&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Union_(set_theory)|Union]] =====&lt;br /&gt;
The union of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; is a set of elements which are in &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;, in &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, or in the both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;A=\{1,3,5,7,9,10\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6,8,10\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A\cup B = \{1,2,3,4,5,6,7,8,9,10\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Complement_(set_theory)|Complement]] =====&lt;br /&gt;
The complement of &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is to everything but &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;\mathbb{U}=\{1,2,\dots,9\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;A=\{1,3,5,7\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A&#039; = \{2,4,6,8,9\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
== Physics ==&lt;br /&gt;
This field of study happen to be exist because an apple fell onto Isaac&#039;s head.&lt;br /&gt;
&lt;br /&gt;
==== Scientific notation ====&lt;br /&gt;
This is nothing much, just some number shorteners.&lt;br /&gt;
&lt;br /&gt;
===== Metric prefix =====&lt;br /&gt;
We use this to write instead of long numbers e.g. &amp;lt;math&amp;gt;1,000,000\ \text{bytes}= 1 * 10^{6}\ \text{bytes}\ =\ 1\ \text{mega bytes}&amp;lt;/math&amp;gt;. We use [[wikipedia:International_System_of_Units#Prefixes|International System of Units]]&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+SI prefixes&lt;br /&gt;
!Prefix&lt;br /&gt;
!Initial&lt;br /&gt;
!Decimal&lt;br /&gt;
!Exponent Form&lt;br /&gt;
|-&lt;br /&gt;
|Exa&lt;br /&gt;
|E&lt;br /&gt;
|1,000,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Peta&lt;br /&gt;
|P&lt;br /&gt;
|1,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Tera&lt;br /&gt;
|T&lt;br /&gt;
|1,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Giga&lt;br /&gt;
|G&lt;br /&gt;
|1,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Mega&lt;br /&gt;
|M&lt;br /&gt;
|1,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Kilo&lt;br /&gt;
|k&lt;br /&gt;
|1,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Hecto&lt;br /&gt;
|h&lt;br /&gt;
|100&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deca&lt;br /&gt;
|da&lt;br /&gt;
|10&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| -&lt;br /&gt;
| -&lt;br /&gt;
|1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{0}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deci&lt;br /&gt;
|d&lt;br /&gt;
|0.1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Centi&lt;br /&gt;
|c&lt;br /&gt;
|0.01&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Milli&lt;br /&gt;
|m&lt;br /&gt;
|0.001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Micro&lt;br /&gt;
|μ&lt;br /&gt;
|0.0000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Nano&lt;br /&gt;
|n&lt;br /&gt;
|0.000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Pico&lt;br /&gt;
|p&lt;br /&gt;
|0.00000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Femto&lt;br /&gt;
|f&lt;br /&gt;
|0.0000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Atto&lt;br /&gt;
|a&lt;br /&gt;
|0.00000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Biology ==&lt;br /&gt;
I do not understand much on this field of study, but I&#039;ll try to dump it as much as possible...&lt;br /&gt;
&lt;br /&gt;
==== Atoms, molecules and compounds ====&lt;br /&gt;
I have no idea.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=78</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=78"/>
		<updated>2025-06-26T10:51:28Z</updated>

		<summary type="html">&lt;p&gt;Techit: added math more set operation, added physics metric prefixes&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9\}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt;&lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer]] numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dots, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dots&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Union_(set_theory)|Union]] =====&lt;br /&gt;
The union of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; is a set of elements which are in &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;, in &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;, or in the both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;A=\{1,3,5,7,9,10\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6,8,10\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A\cup B = \{1,2,3,4,5,6,7,8,9,10\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Complement_(set_theory)|Complement]] =====&lt;br /&gt;
The complement of &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is to everything but &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
Imagine &amp;lt;math&amp;gt;\mathbb{U}=\{1,2,\dots,9\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;A=\{1,3,5,7\}&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;B=\{2,4,5,6\}&amp;lt;/math&amp;gt; then &amp;lt;math&amp;gt;A&#039; = \{2,4,6,8,9\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
== Physics ==&lt;br /&gt;
This field of study happen to be exist because an apple fell onto Isaac&#039;s head.&lt;br /&gt;
&lt;br /&gt;
==== Scientific notation ====&lt;br /&gt;
This is nothing much, just some number shorteners.&lt;br /&gt;
&lt;br /&gt;
===== Metric prefix =====&lt;br /&gt;
We use this to write instead of long numbers e.g. &amp;lt;math&amp;gt;1,000,000\ \text{bytes}= 1 * 10^{6}\ \text{bytes}\ =\ 1\ \text{mega bytes}&amp;lt;/math&amp;gt;. We use [[wikipedia:International_System_of_Units#Prefixes|International System of Units]]&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+SI prefixes&lt;br /&gt;
!Prefix&lt;br /&gt;
!Initial&lt;br /&gt;
!Decimal&lt;br /&gt;
!Exponent Form&lt;br /&gt;
|-&lt;br /&gt;
|Exa&lt;br /&gt;
|E&lt;br /&gt;
|1,000,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Peta&lt;br /&gt;
|P&lt;br /&gt;
|1,000,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Tera&lt;br /&gt;
|T&lt;br /&gt;
|1,000,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Giga&lt;br /&gt;
|G&lt;br /&gt;
|1,000,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Mega&lt;br /&gt;
|M&lt;br /&gt;
|1,000,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Kilo&lt;br /&gt;
|k&lt;br /&gt;
|1,000&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Hecto&lt;br /&gt;
|h&lt;br /&gt;
|100&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deca&lt;br /&gt;
|da&lt;br /&gt;
|10&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| -&lt;br /&gt;
| -&lt;br /&gt;
|1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{0}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Deci&lt;br /&gt;
|d&lt;br /&gt;
|0.1&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-1}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Centi&lt;br /&gt;
|c&lt;br /&gt;
|0.01&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Milli&lt;br /&gt;
|m&lt;br /&gt;
|0.001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-3}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Micro&lt;br /&gt;
|μ&lt;br /&gt;
|0.0000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-6}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Nano&lt;br /&gt;
|n&lt;br /&gt;
|0.000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-9}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Pico&lt;br /&gt;
|p&lt;br /&gt;
|0.00000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-12}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Femto&lt;br /&gt;
|f&lt;br /&gt;
|0.0000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-15}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|Atto&lt;br /&gt;
|a&lt;br /&gt;
|0.00000000000001&lt;br /&gt;
|&amp;lt;math&amp;gt;10^{-18}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=77</id>
		<title>User:Techit/Web</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=77"/>
		<updated>2025-06-26T10:07:24Z</updated>

		<summary type="html">&lt;p&gt;Techit: add notice&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&amp;lt;s&amp;gt;hi this is for https://gitlab.com/techit.win/techit/web thanks&amp;lt;/s&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Welcome to User:Techit/Web, this page is for Techit&#039;s personal website wiki. Which right now is just a plain HTML/CSS website with no javascript and I am not planning to use it. So without functionality, this page is just useless. Thank you visiting...&lt;br /&gt;
&lt;br /&gt;
current category:&lt;br /&gt;
&lt;br /&gt;
* [[User:Techit/Web/Components|Components]] - Nuxt web components wiki&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=76</id>
		<title>User:Techit</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=76"/>
		<updated>2025-06-26T10:05:09Z</updated>

		<summary type="html">&lt;p&gt;Techit: chanfge web&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Techit Thawiang (Sumo; born Darunbhop Thawiang) is an ordinary 15 years old who likes to develop software for his own need. He dreams to be a software engineer and an entrepreneur.&lt;br /&gt;
&lt;br /&gt;
Now I have my own subpages in this wiki which is&lt;br /&gt;
* [[User:Techit/Web]]&lt;br /&gt;
* [[User:Techit/Knowledge_dump]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=75</id>
		<title>User:Techit</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=75"/>
		<updated>2025-06-25T23:57:41Z</updated>

		<summary type="html">&lt;p&gt;Techit: Add knowledge dump to wiki page list&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Techit Thawiang (Sumo; born Darunbhop Thawiang) is an ordinary 15 years old who likes to develop software for his own need. He dreams to be a software engineer and an entrepreneur.&lt;br /&gt;
&lt;br /&gt;
Now I have my own subpages in this wiki which is&lt;br /&gt;
* [[User:Techit/Web|Web]]&lt;br /&gt;
* [[User:Techit/Knowledge_dump]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=74</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=74"/>
		<updated>2025-06-25T13:49:37Z</updated>

		<summary type="html">&lt;p&gt;Techit: change Q+ and Q- from real to rational (thanks to Diskette)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; &lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative rational numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer]] numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dotsm, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dotsm&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
--- hi, it&#039;s 8:46pm, thats it for today&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=73</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=73"/>
		<updated>2025-06-25T13:46:41Z</updated>

		<summary type="html">&lt;p&gt;Techit: added basic set operations (not finished)&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
==== Elements / Members ====&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; &lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer]] numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
==== Venn diagram ====&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
==== Subset ====&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dotsm, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dotsm&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subseteq B \iff \forall x\,(x \in A \Rightarrow x \in B)&amp;lt;/math&amp;gt; - A is a subset of B if every element of A is also an element of B&lt;br /&gt;
# &amp;lt;math&amp;gt;A \subset B \iff (A \subseteq B, A \ne B)&amp;lt;/math&amp;gt; - A is a proper subset only if A is subset of B and A is not equals to B&lt;br /&gt;
#&lt;br /&gt;
&lt;br /&gt;
==== Power set ====&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Basic set operations ====&lt;br /&gt;
&lt;br /&gt;
===== [[wikipedia:Set_intersectionhttps://en.wikipedia.org/wiki/Set_intersection|Intersection]] =====&lt;br /&gt;
The intersection of two sets &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and &amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt; ⁠⁠ is a set denoted ⁠⁠&amp;lt;math&amp;gt;A \cap B&amp;lt;/math&amp;gt; whose elements are those elements that belong to both &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;⁠⁠ and ⁠⁠&amp;lt;math&amp;gt;B&amp;lt;/math&amp;gt;. That is,&amp;lt;math&amp;gt;{\displaystyle A\cap B=\{x|x\in A\land x\in B\},}&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\land&amp;lt;/math&amp;gt; denotes [[wikipedia:Logical_and|logical and]].&lt;br /&gt;
&lt;br /&gt;
--- hi, it&#039;s 8:46pm, thats it for today&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=72</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=72"/>
		<updated>2025-06-25T13:18:58Z</updated>

		<summary type="html">&lt;p&gt;Techit: Added set, subset and power set&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
Mathematics is the study field I hated the most, even though I chose to study in Sci-Math program. Anyways just let&#039;s get into the point.&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
====== Elements / Members ======&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in). So let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
# &amp;lt;math&amp;gt;A=\{x|x\in \mathbb{I}^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; &lt;br /&gt;
# &amp;lt;math&amp;gt;B=\{x|x\in \mathbb{P}, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To translate set notation to normal human-being data set we look at &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;then use our brain to analyze, after that A should be {x which x in &amp;lt;math&amp;gt;I^{+}&amp;lt;/math&amp;gt; (positive integer), x greater than -5 but less or equals to 12}, which in conclusion to be &amp;lt;math&amp;gt;A=\{1,2,3,4,5,6,7,8,9,10,11,12\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
Additional info: you might see these stupid blackboard letters e.g. &amp;lt;math&amp;gt;\mathbb{R}, \mathbb{Q}, \mathbb{I}, \mathbb{P}&amp;lt;/math&amp;gt;, these can be denotes to...&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}&amp;lt;/math&amp;gt; = [[wikipedia:Real_number|real numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{R}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}&amp;lt;/math&amp;gt; = [[wikipedia:Rational_number|rational numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{+}&amp;lt;/math&amp;gt; = positive real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{Q}^{-}&amp;lt;/math&amp;gt; = negative real numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}&amp;lt;/math&amp;gt; = [[wikipedia:Integer_number|integer]] numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{+}&amp;lt;/math&amp;gt; = positive integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{I}^{-}&amp;lt;/math&amp;gt; = negative integer numbers&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{N}&amp;lt;/math&amp;gt; = [[wikipedia:Natural_number|natural numbers]]&lt;br /&gt;
* &amp;lt;math&amp;gt;\mathbb{P}&amp;lt;/math&amp;gt; = [[wikipedia:Prime_number|prime numbers]]&lt;br /&gt;
&lt;br /&gt;
====== Venn diagram ======&lt;br /&gt;
Venn diagram is a way to draw set, usually to visualize set operations (usually union, intersection and complement) however it&#039;s a pain in ass to draw so I will not talk much about this thing. But for now let&#039;s get to know &amp;quot;universe&amp;quot; (&amp;lt;math&amp;gt;\mathbb{U}&amp;lt;/math&amp;gt;; can be written as U, &#039;&#039;&#039;U&#039;&#039;&#039;, 𝓤, Ｕ or whatever the hell you would like) or data range or whatever the heck it&#039;s called but in Thai it&#039;s called เอกภพสัมพัทธ์.&lt;br /&gt;
&lt;br /&gt;
====== Subset ======&lt;br /&gt;
Subset is what I hated the most in this topic so let&#039;s get fast. So you have &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; the A&#039;s subset would be &amp;lt;math&amp;gt;\{\}, \{1\}, \{2\}, \{3\}, \{1,2\}, \{1,3\}, \{2,3\}, \{1,2,3\}&amp;lt;/math&amp;gt;, if you don&#039;t see the pattern, this is the pattern &amp;lt;math&amp;gt;\{\}, \dotsm, A&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\dotsm&amp;lt;/math&amp;gt; is combination of every member from 1 member {1} to 2 {1,2} to 3 {1,2,3} members to &amp;lt;math&amp;gt;\text{n}&amp;lt;/math&amp;gt; members. The total subset amount will be &amp;lt;math&amp;gt;n(A)*2&amp;lt;/math&amp;gt;. In this example &amp;lt;math&amp;gt;n(A)&amp;lt;/math&amp;gt; is 3 so we will have a total subset of 6.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s what you might need to know more about subset;&lt;br /&gt;
&lt;br /&gt;
# {} is called &amp;quot;empty set&amp;quot; or &amp;quot;null&amp;quot; in computer nerd language&lt;br /&gt;
# &amp;lt;math&amp;gt;\text{Ø}&amp;lt;/math&amp;gt; can be used to represent empty set too&lt;br /&gt;
# &amp;lt;math&amp;gt;A \in B \implies A \subseteq B&amp;lt;/math&amp;gt; is generally false too.&lt;br /&gt;
&lt;br /&gt;
====== Power set ======&lt;br /&gt;
Power set is related to subset; it&#039;s just a set of all subset in that set. Let&#039;s bring &amp;lt;math&amp;gt;A=\{1,2,3\}&amp;lt;/math&amp;gt; guess what is &amp;lt;math&amp;gt;P(A)&amp;lt;/math&amp;gt;? Yes. &amp;lt;math&amp;gt;P(A)=\{\text{Ø},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=71</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=71"/>
		<updated>2025-06-25T12:06:19Z</updated>

		<summary type="html">&lt;p&gt;Techit: Removed TOC&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
====== Elements / Members ======&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in) or &amp;lt;math&amp;gt;\not\in&amp;lt;/math&amp;gt;(not in). Let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;A=\{x|x\in I^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;B=\{x|x\in P, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=70</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=70"/>
		<updated>2025-06-25T12:06:02Z</updated>

		<summary type="html">&lt;p&gt;Techit: asdasds&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s the table of contents&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
====== Elements / Members ======&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in) or &amp;lt;math&amp;gt;\not\in&amp;lt;/math&amp;gt;(not in). Let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;A=\{x|x\in I^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;B=\{x|x\in P, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=69</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=69"/>
		<updated>2025-06-25T12:04:04Z</updated>

		<summary type="html">&lt;p&gt;Techit: try to fix TOC&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s the table of contents&lt;br /&gt;
&lt;br /&gt;
&amp;lt;nowiki&amp;gt;__TOC__&amp;lt;/nowiki&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
====== Elements / Members ======&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in) or &amp;lt;math&amp;gt;\not\in&amp;lt;/math&amp;gt;(not in). Let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;A=\{x|x\in I^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;B=\{x|x\in P, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=68</id>
		<title>User:Techit/Knowledge dump</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Knowledge_dump&amp;diff=68"/>
		<updated>2025-06-25T12:03:46Z</updated>

		<summary type="html">&lt;p&gt;Techit: add basic hierarchy to user&amp;#039;s knowledge dump page&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Hello, welcome to Techit&#039;s knowledge dump page. Here I will dump as many knowledge as possible for collection in the future use.&lt;br /&gt;
&lt;br /&gt;
Here&#039;s the table of contents&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;&amp;lt;nowiki&amp;gt;__TOC__&amp;lt;/nowiki&amp;gt;&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Mathematics ==&lt;br /&gt;
&lt;br /&gt;
=== [[wikipedia:Set_(mathematics)|Set]] ===&lt;br /&gt;
Imagine a [[wikipedia:Array_(data_structure)|data array]], it&#039;s a set. Set is a collection of different stuff. For example A = {1,2,3,4,5,6,7,8,9} or &amp;lt;math&amp;gt;\text{Slave}=\{\text{Diskette},\text{GameCreator}\}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
====== Elements / Members ======&lt;br /&gt;
A stuff in a data set is called &amp;quot;element&amp;quot; or &amp;quot;member&amp;quot;, so to write a set notation we use &amp;lt;math&amp;gt;\in&amp;lt;/math&amp;gt;(in) or &amp;lt;math&amp;gt;\not\in&amp;lt;/math&amp;gt;(not in). Let&#039;s see some examples below.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;A=\{x|x\in I^{+}, -5&amp;lt;x\leq12 \}&amp;lt;/math&amp;gt; or &amp;lt;math&amp;gt;B=\{x|x\in P, -5\leq x \leq 23\}&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Copperplate&amp;diff=65</id>
		<title>Copperplate</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Copperplate&amp;diff=65"/>
		<updated>2025-06-20T11:34:39Z</updated>

		<summary type="html">&lt;p&gt;Techit: change layout&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Copperplate&#039;&#039;&#039; was a physical server hosted at [[User:Techit|Techit]]&#039;s house. It was a low-end performance laptop.&lt;br /&gt;
&lt;br /&gt;
== Why deprecated? ==&lt;br /&gt;
Unfortunately, we are no longer able to maintain it, as the hardware is older than Techit and maintenance costs have become unsustainable.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Thetic&amp;diff=64</id>
		<title>Thetic</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Thetic&amp;diff=64"/>
		<updated>2025-06-20T11:28:33Z</updated>

		<summary type="html">&lt;p&gt;Techit: /* Containers */ added drive, photos and techit-db description, fix typo for unixweb description&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Thetic&#039;&#039;&#039; is a general purpose mid-tier performance desktop server.&lt;br /&gt;
&lt;br /&gt;
== Services ==&lt;br /&gt;
&lt;br /&gt;
=== Containers ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
!Name&lt;br /&gt;
!Description&lt;br /&gt;
!Notes&lt;br /&gt;
|-&lt;br /&gt;
|drive&lt;br /&gt;
|A Nextcloud instance&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|garage&lt;br /&gt;
|An S3-compatible object storage&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|internal&lt;br /&gt;
|Internal containers for internal thingsmajigs, such as this website&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|jzbot&lt;br /&gt;
|JzBot Discord Application bot&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|jzcraft-build&lt;br /&gt;
|JzCraft internal build server&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|jzcraftlite&lt;br /&gt;
|Temporal JzCraft &amp;quot;lite&amp;quot; server&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|litestore&lt;br /&gt;
|[[User:GameCreator|GameCreator]]&#039;s stuff&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|photos&lt;br /&gt;
|An Immich instance&lt;br /&gt;
|Docker image&lt;br /&gt;
|-&lt;br /&gt;
|postgresql&lt;br /&gt;
|E-mail authentication database&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|techit-db&lt;br /&gt;
|[[User:Techit|Techit]]&#039;s stuff&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|unixdatabase&lt;br /&gt;
|Database server for unix.in.th&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|unixweb&lt;br /&gt;
|Web services for unix.in.th&lt;br /&gt;
|&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Quirks ==&lt;br /&gt;
Unexpected power outage may result in this server waiting for the user to press F1 on their keyboard.&lt;br /&gt;
&lt;br /&gt;
Some storage media might not work as expected.&lt;br /&gt;
&lt;br /&gt;
== History ==&lt;br /&gt;
We were essentially looking for a new server to replace or go along with the old [[Server:Original]] server. Fortunately, [[User:Techit]] has a unused not-confirmed working processor that I can use. Unfortunately, that unused not-confirmed working processor does not work and [[User:Diskette]] has already wasted their money on the motherboard and he has to waste even more money for the processor. He decided to go onto the cheapest route and replaces the [[Server:Original]] by gutting its power supply and hard disk drives.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=50</id>
		<title>User:Techit/Web/Components</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=50"/>
		<updated>2025-06-02T09:34:00Z</updated>

		<summary type="html">&lt;p&gt;Techit: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;thawia.ng&#039;s web components wiki&lt;br /&gt;
&lt;br /&gt;
* [[User:Techit/Web/Components/Dropdown|Dropdown]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=49</id>
		<title>User:Techit/Web/Components</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=49"/>
		<updated>2025-06-02T09:33:45Z</updated>

		<summary type="html">&lt;p&gt;Techit: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;thawia.ng&#039;s web components wiki&lt;br /&gt;
&lt;br /&gt;
* [[Thawia.ng:Web/Components/Dropdown|Dropdown]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=45</id>
		<title>User:Techit/Web</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=45"/>
		<updated>2025-06-01T10:48:50Z</updated>

		<summary type="html">&lt;p&gt;Techit: change compoenets link&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;hi this is for https://gitlab.com/techit.win/techit/web thanks&lt;br /&gt;
&lt;br /&gt;
current category:&lt;br /&gt;
&lt;br /&gt;
* [[User:Techit/Web/Components|Components]] - Nuxt web components wiki&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=44</id>
		<title>User:Techit</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=44"/>
		<updated>2025-06-01T10:48:08Z</updated>

		<summary type="html">&lt;p&gt;Techit: i wrote the hyperlink wrong&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Techit Thawiang (Sumo; born Darunbhop Thawiang) is an ordinary 15 years old who likes to develop software for his own need. He dreams to be a software engineer and an entrepreneur.&lt;br /&gt;
&lt;br /&gt;
Now I have my own subpages in this wiki which is&lt;br /&gt;
* [[User:Techit/Web|Web]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=43</id>
		<title>User:Techit</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=43"/>
		<updated>2025-06-01T10:47:51Z</updated>

		<summary type="html">&lt;p&gt;Techit: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Techit Thawiang (Sumo; born Darunbhop Thawiang) is an ordinary 15 years old who likes to develop software for his own need. He dreams to be a software engineer and an entrepreneur.&lt;br /&gt;
&lt;br /&gt;
Now I have my own subpages in this wiki which is&lt;br /&gt;
* [[Web|User:Techit/Web]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Main_Page&amp;diff=42</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Main_Page&amp;diff=42"/>
		<updated>2025-06-01T10:46:54Z</updated>

		<summary type="html">&lt;p&gt;Techit: removed thawiang namespace&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to Dandelion &#039;n&#039; Stuff internal wiki for documenting our internal server behaviors and quirks, the editing feature for this wiki is reserved for our administrators. Those who wants to just look, it is also fine to do so. I mean, sharing knowledge wouldn&#039;t hurt, right? &lt;br /&gt;
&lt;br /&gt;
สวัสดีและยินดีต้อนรับสู่วิกิส่วนตัวของแดนดิไลออนและอื่น ๆ เป็นหนังสือเอกสารกำกับและคูมือต่าง ๆ สำหรับผู้ดูแล ใครจะดูก็ดูไปนะ การแบ่งปันความรู้ไม่ผิดกฎหมาย =3= &lt;br /&gt;
&lt;br /&gt;
This wiki is in both English language and Thai languages, whatever suits the person writing the documentation &lt;br /&gt;
&lt;br /&gt;
วิกินี้มีทั้งภาษาไทยและอังกฤษ ใครจะใช้อะไรตามสะดวกก็ใช้ &lt;br /&gt;
&lt;br /&gt;
Namespace ณ ปัจจุบัน: &lt;br /&gt;
&lt;br /&gt;
* [[Server:Main Page]]&lt;br /&gt;
* [[Docs:Main Page]]&lt;br /&gt;
* [[Dialect:Main Page]]&lt;br /&gt;
&lt;br /&gt;
Miscellaneous pages:&lt;br /&gt;
&lt;br /&gt;
* [[To-do list]]&lt;br /&gt;
&lt;br /&gt;
== MediaWiki&#039;s default ==&lt;br /&gt;
&amp;lt;strong&amp;gt;MediaWiki has been installed.&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User&#039;s Guide] for information on using the wiki software.&lt;br /&gt;
&lt;br /&gt;
== Getting started ==&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Configuration settings list]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWiki FAQ]&lt;br /&gt;
* [https://lists.wikimedia.org/postorius/lists/mediawiki-announce.lists.wikimedia.org/ MediaWiki release mailing list]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=41</id>
		<title>User:Techit/Web/Components</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=41"/>
		<updated>2025-06-01T10:46:39Z</updated>

		<summary type="html">&lt;p&gt;Techit: Techit moved page Techit/Web/Components to User:Techit/Web/Components without leaving a redirect&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;thawia.ng&#039;s web components wiki&lt;br /&gt;
&lt;br /&gt;
* [[Thawia.ng:Components/Dropdown|Dropdown]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=40</id>
		<title>User:Techit/Web/Components/Dropdown</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=40"/>
		<updated>2025-06-01T10:46:24Z</updated>

		<summary type="html">&lt;p&gt;Techit: Techit moved page Thawia.ng:Components/Dropdown to User:Techit/Web/Components/Dropdown without leaving a redirect&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Thawiang-dropdown.png|thumb|195px|thawia.ng web drop-down list or dropdown menu with generic actions]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Dropdown&#039;&#039;&#039; is a menu used to display actions or links when clicking on an element.&lt;br /&gt;
&lt;br /&gt;
=== Usage ===&lt;br /&gt;
idk you are on your own (jk ill write better one later) but heres the example&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
&amp;lt;template&amp;gt;&lt;br /&gt;
  &amp;lt;div class=&amp;quot;cont&amp;quot;&amp;gt;&lt;br /&gt;
    &amp;lt;section class=&amp;quot;wrap&amp;quot;&amp;gt;&lt;br /&gt;
        &amp;lt;div class=&amp;quot;h-64&amp;quot;&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
    &amp;lt;/section&amp;gt;&lt;br /&gt;
  &amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/template&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;script setup&amp;gt;&lt;br /&gt;
const dropdownData = ref([&lt;br /&gt;
  {&lt;br /&gt;
    id: &#039;actions&#039;,&lt;br /&gt;
    label: &#039;Actions&#039;,&lt;br /&gt;
    items: [&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;edit&#039;,&lt;br /&gt;
        label: &#039;Edit&#039;,&lt;br /&gt;
        icon: &#039;fas fa-edit&#039;,&lt;br /&gt;
        disabled: false&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;copy&#039;,&lt;br /&gt;
        label: &#039;Copy&#039;,&lt;br /&gt;
        icon: &#039;fas fa-copy&#039;&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;delete&#039;,&lt;br /&gt;
        label: &#039;Delete&#039;,&lt;br /&gt;
        icon: &#039;fas fa-trash&#039;,&lt;br /&gt;
        disabled: true&lt;br /&gt;
      }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
])&lt;br /&gt;
&lt;br /&gt;
const hoverDropdowns = ref([&lt;br /&gt;
  {&lt;br /&gt;
    id: &#039;nav-menu&#039;,&lt;br /&gt;
    label: &#039;Navigation&#039;,&lt;br /&gt;
    hover: true,&lt;br /&gt;
    items: [&lt;br /&gt;
      { id: &#039;home&#039;, label: &#039;Home&#039; },&lt;br /&gt;
      { id: &#039;about&#039;, label: &#039;About&#039; },&lt;br /&gt;
      { id: &#039;contact&#039;, label: &#039;Contact&#039; }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
])&lt;br /&gt;
const handleItemClick = (data) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Item clicked:&#039;, data)&lt;br /&gt;
  if (data.item.id === &#039;profile&#039;) {&lt;br /&gt;
    navigateTo(&#039;/profile&#039;)&lt;br /&gt;
  } else if (data.item.id === &#039;logout&#039;) {&lt;br /&gt;
    console.log(&#039;Logging out...&#039;)&lt;br /&gt;
  }&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const handleDropdownOpen = (index) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Dropdown opened:&#039;, index)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const handleDropdownClose = (index) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Dropdown closed:&#039;, index)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const addDropdownItem = (dropdownIndex, newItem) =&amp;gt; {&lt;br /&gt;
  dropdownData.value[dropdownIndex].items.push(newItem)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const removeDropdownItem = (dropdownIndex, itemId) =&amp;gt; {&lt;br /&gt;
  const dropdown = dropdownData.value[dropdownIndex]&lt;br /&gt;
  dropdown.items = dropdown.items.filter(item =&amp;gt; item.id !== itemId)&lt;br /&gt;
}&lt;br /&gt;
&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=39</id>
		<title>User:Techit/Web/Components</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=39"/>
		<updated>2025-06-01T10:46:07Z</updated>

		<summary type="html">&lt;p&gt;Techit: Techit moved page Thawia.ng:Components to Techit/Web/Components without leaving a redirect&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;thawia.ng&#039;s web components wiki&lt;br /&gt;
&lt;br /&gt;
* [[Thawia.ng:Components/Dropdown|Dropdown]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=38</id>
		<title>User:Techit/Web</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=38"/>
		<updated>2025-06-01T10:45:45Z</updated>

		<summary type="html">&lt;p&gt;Techit: Techit moved page Thawia.ng:Main Page to User:Techit/Web without leaving a redirect&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;hi this is for https://gitlab.com/techit.win/techit/web thanks&lt;br /&gt;
&lt;br /&gt;
current namespace:&lt;br /&gt;
&lt;br /&gt;
* [[Thawia.ng:Components]] - Nuxt web components wiki&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=33</id>
		<title>User:Techit/Web/Components/Dropdown</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=33"/>
		<updated>2025-05-31T11:03:57Z</updated>

		<summary type="html">&lt;p&gt;Techit: change example image width&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Thawiang-dropdown.png|thumb|195px|thawia.ng web drop-down list or dropdown menu with generic actions]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Dropdown&#039;&#039;&#039; is a menu used to display actions or links when clicking on an element.&lt;br /&gt;
&lt;br /&gt;
=== Usage ===&lt;br /&gt;
idk you are on your own (jk ill write better one later) but heres the example&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
&amp;lt;template&amp;gt;&lt;br /&gt;
  &amp;lt;div class=&amp;quot;cont&amp;quot;&amp;gt;&lt;br /&gt;
    &amp;lt;section class=&amp;quot;wrap&amp;quot;&amp;gt;&lt;br /&gt;
        &amp;lt;div class=&amp;quot;h-64&amp;quot;&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
    &amp;lt;/section&amp;gt;&lt;br /&gt;
  &amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/template&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;script setup&amp;gt;&lt;br /&gt;
const dropdownData = ref([&lt;br /&gt;
  {&lt;br /&gt;
    id: &#039;actions&#039;,&lt;br /&gt;
    label: &#039;Actions&#039;,&lt;br /&gt;
    items: [&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;edit&#039;,&lt;br /&gt;
        label: &#039;Edit&#039;,&lt;br /&gt;
        icon: &#039;fas fa-edit&#039;,&lt;br /&gt;
        disabled: false&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;copy&#039;,&lt;br /&gt;
        label: &#039;Copy&#039;,&lt;br /&gt;
        icon: &#039;fas fa-copy&#039;&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;delete&#039;,&lt;br /&gt;
        label: &#039;Delete&#039;,&lt;br /&gt;
        icon: &#039;fas fa-trash&#039;,&lt;br /&gt;
        disabled: true&lt;br /&gt;
      }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
])&lt;br /&gt;
&lt;br /&gt;
const hoverDropdowns = ref([&lt;br /&gt;
  {&lt;br /&gt;
    id: &#039;nav-menu&#039;,&lt;br /&gt;
    label: &#039;Navigation&#039;,&lt;br /&gt;
    hover: true,&lt;br /&gt;
    items: [&lt;br /&gt;
      { id: &#039;home&#039;, label: &#039;Home&#039; },&lt;br /&gt;
      { id: &#039;about&#039;, label: &#039;About&#039; },&lt;br /&gt;
      { id: &#039;contact&#039;, label: &#039;Contact&#039; }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
])&lt;br /&gt;
const handleItemClick = (data) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Item clicked:&#039;, data)&lt;br /&gt;
  if (data.item.id === &#039;profile&#039;) {&lt;br /&gt;
    navigateTo(&#039;/profile&#039;)&lt;br /&gt;
  } else if (data.item.id === &#039;logout&#039;) {&lt;br /&gt;
    console.log(&#039;Logging out...&#039;)&lt;br /&gt;
  }&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const handleDropdownOpen = (index) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Dropdown opened:&#039;, index)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const handleDropdownClose = (index) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Dropdown closed:&#039;, index)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const addDropdownItem = (dropdownIndex, newItem) =&amp;gt; {&lt;br /&gt;
  dropdownData.value[dropdownIndex].items.push(newItem)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const removeDropdownItem = (dropdownIndex, itemId) =&amp;gt; {&lt;br /&gt;
  const dropdown = dropdownData.value[dropdownIndex]&lt;br /&gt;
  dropdown.items = dropdown.items.filter(item =&amp;gt; item.id !== itemId)&lt;br /&gt;
}&lt;br /&gt;
&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=32</id>
		<title>User:Techit/Web/Components/Dropdown</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=32"/>
		<updated>2025-05-31T11:02:58Z</updated>

		<summary type="html">&lt;p&gt;Techit: added example&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Image:Thawiang-dropdown.png|thumb|135px|thawia.ng web drop-down list or dropdown menu with generic actions]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Dropdown&#039;&#039;&#039; is a menu used to display actions or links when clicking on an element.&lt;br /&gt;
&lt;br /&gt;
=== Usage ===&lt;br /&gt;
idk you are on your own (jk ill write better one later) but heres the example&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
&amp;lt;template&amp;gt;&lt;br /&gt;
  &amp;lt;div class=&amp;quot;cont&amp;quot;&amp;gt;&lt;br /&gt;
    &amp;lt;section class=&amp;quot;wrap&amp;quot;&amp;gt;&lt;br /&gt;
        &amp;lt;div class=&amp;quot;h-64&amp;quot;&amp;gt;&amp;lt;/div&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
        &amp;lt;TDropdown &lt;br /&gt;
            :dropdowns=&amp;quot;dropdownData&amp;quot;&lt;br /&gt;
            @item-click=&amp;quot;handleItemClick&amp;quot;&lt;br /&gt;
            @dropdown-open=&amp;quot;handleDropdownOpen&amp;quot;&lt;br /&gt;
            @dropdown-close=&amp;quot;handleDropdownClose&amp;quot;&lt;br /&gt;
        /&amp;gt;&lt;br /&gt;
    &amp;lt;/section&amp;gt;&lt;br /&gt;
  &amp;lt;/div&amp;gt;&lt;br /&gt;
&amp;lt;/template&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;script setup&amp;gt;&lt;br /&gt;
const dropdownData = ref([&lt;br /&gt;
  {&lt;br /&gt;
    id: &#039;actions&#039;,&lt;br /&gt;
    label: &#039;Actions&#039;,&lt;br /&gt;
    items: [&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;edit&#039;,&lt;br /&gt;
        label: &#039;Edit&#039;,&lt;br /&gt;
        icon: &#039;fas fa-edit&#039;,&lt;br /&gt;
        disabled: false&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;copy&#039;,&lt;br /&gt;
        label: &#039;Copy&#039;,&lt;br /&gt;
        icon: &#039;fas fa-copy&#039;&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
      },&lt;br /&gt;
      {&lt;br /&gt;
        id: &#039;delete&#039;,&lt;br /&gt;
        label: &#039;Delete&#039;,&lt;br /&gt;
        icon: &#039;fas fa-trash&#039;,&lt;br /&gt;
        disabled: true&lt;br /&gt;
      }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
])&lt;br /&gt;
&lt;br /&gt;
const hoverDropdowns = ref([&lt;br /&gt;
  {&lt;br /&gt;
    id: &#039;nav-menu&#039;,&lt;br /&gt;
    label: &#039;Navigation&#039;,&lt;br /&gt;
    hover: true,&lt;br /&gt;
    items: [&lt;br /&gt;
      { id: &#039;home&#039;, label: &#039;Home&#039; },&lt;br /&gt;
      { id: &#039;about&#039;, label: &#039;About&#039; },&lt;br /&gt;
      { id: &#039;contact&#039;, label: &#039;Contact&#039; }&lt;br /&gt;
    ]&lt;br /&gt;
  }&lt;br /&gt;
])&lt;br /&gt;
const handleItemClick = (data) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Item clicked:&#039;, data)&lt;br /&gt;
  if (data.item.id === &#039;profile&#039;) {&lt;br /&gt;
    navigateTo(&#039;/profile&#039;)&lt;br /&gt;
  } else if (data.item.id === &#039;logout&#039;) {&lt;br /&gt;
    console.log(&#039;Logging out...&#039;)&lt;br /&gt;
  }&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const handleDropdownOpen = (index) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Dropdown opened:&#039;, index)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const handleDropdownClose = (index) =&amp;gt; {&lt;br /&gt;
  console.log(&#039;Dropdown closed:&#039;, index)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const addDropdownItem = (dropdownIndex, newItem) =&amp;gt; {&lt;br /&gt;
  dropdownData.value[dropdownIndex].items.push(newItem)&lt;br /&gt;
}&lt;br /&gt;
&lt;br /&gt;
const removeDropdownItem = (dropdownIndex, itemId) =&amp;gt; {&lt;br /&gt;
  const dropdown = dropdownData.value[dropdownIndex]&lt;br /&gt;
  dropdown.items = dropdown.items.filter(item =&amp;gt; item.id !== itemId)&lt;br /&gt;
}&lt;br /&gt;
&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=31</id>
		<title>User:Techit/Web/Components/Dropdown</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components/Dropdown&amp;diff=31"/>
		<updated>2025-05-31T10:58:08Z</updated>

		<summary type="html">&lt;p&gt;Techit: added hierarchy&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Dropdown&#039;&#039;&#039; is a menu used to display actions or links when clicking on an element.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=File:Thawiang-dropdown.png&amp;diff=30</id>
		<title>File:Thawiang-dropdown.png</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=File:Thawiang-dropdown.png&amp;diff=30"/>
		<updated>2025-05-31T10:56:19Z</updated>

		<summary type="html">&lt;p&gt;Techit: A preview of thawia.ng web dropdown web component&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Summary ==&lt;br /&gt;
A preview of thawia.ng web dropdown web component&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=29</id>
		<title>User:Techit/Web/Components</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web/Components&amp;diff=29"/>
		<updated>2025-05-31T10:51:53Z</updated>

		<summary type="html">&lt;p&gt;Techit: added thawia.ng compoents wiki page&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;thawia.ng&#039;s web components wiki&lt;br /&gt;
&lt;br /&gt;
* [[Thawia.ng:Components/Dropdown|Dropdown]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=28</id>
		<title>User:Techit/Web</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit/Web&amp;diff=28"/>
		<updated>2025-05-31T10:51:01Z</updated>

		<summary type="html">&lt;p&gt;Techit: create page&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;hi this is for https://gitlab.com/techit.win/techit/web thanks&lt;br /&gt;
&lt;br /&gt;
current namespace:&lt;br /&gt;
&lt;br /&gt;
* [[Thawia.ng:Components]] - Nuxt web components wiki&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Main_Page&amp;diff=27</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Main_Page&amp;diff=27"/>
		<updated>2025-05-31T10:49:28Z</updated>

		<summary type="html">&lt;p&gt;Techit: change T to T&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to Dandelion &#039;n&#039; Stuff internal wiki for documenting our internal server behaviors and quirks, the editing feature for this wiki is reserved for our administrators. Those who wants to just look, it is also fine to do so. I mean, sharing knowledge wouldn&#039;t hurt, right? &lt;br /&gt;
&lt;br /&gt;
สวัสดีและยินดีต้อนรับสู่วิกิส่วนตัวของแดนดิไลออนและอื่น ๆ เป็นหนังสือเอกสารกำกับและคูมือต่าง ๆ สำหรับผู้ดูแล ใครจะดูก็ดูไปนะ การแบ่งปันความรู้ไม่ผิดกฎหมาย =3= &lt;br /&gt;
&lt;br /&gt;
This wiki is in both English language and Thai languages, whatever suits the person writing the documentation &lt;br /&gt;
&lt;br /&gt;
วิกินี้มีทั้งภาษาไทยและอังกฤษ ใครจะใช้อะไรตามสะดวกก็ใช้ &lt;br /&gt;
&lt;br /&gt;
Namespace ณ ปัจจุบัน: &lt;br /&gt;
&lt;br /&gt;
* [[Server:Main Page]]&lt;br /&gt;
* [[Docs:Main Page]]&lt;br /&gt;
* [[Dialect:Main Page]]&lt;br /&gt;
* [[Thawia.ng:Main Page]]&lt;br /&gt;
&lt;br /&gt;
Miscellaneous pages:&lt;br /&gt;
&lt;br /&gt;
* [[To-do list]]&lt;br /&gt;
&lt;br /&gt;
== MediaWiki&#039;s default ==&lt;br /&gt;
&amp;lt;strong&amp;gt;MediaWiki has been installed.&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User&#039;s Guide] for information on using the wiki software.&lt;br /&gt;
&lt;br /&gt;
== Getting started ==&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Configuration settings list]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWiki FAQ]&lt;br /&gt;
* [https://lists.wikimedia.org/postorius/lists/mediawiki-announce.lists.wikimedia.org/ MediaWiki release mailing list]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Main_Page&amp;diff=26</id>
		<title>Main Page</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Main_Page&amp;diff=26"/>
		<updated>2025-05-31T10:49:10Z</updated>

		<summary type="html">&lt;p&gt;Techit: added thawia.ng wiki page&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to Dandelion &#039;n&#039; Stuff internal wiki for documenting our internal server behaviors and quirks, the editing feature for this wiki is reserved for our administrators. Those who wants to just look, it is also fine to do so. I mean, sharing knowledge wouldn&#039;t hurt, right? &lt;br /&gt;
&lt;br /&gt;
สวัสดีและยินดีต้อนรับสู่วิกิส่วนตัวของแดนดิไลออนและอื่น ๆ เป็นหนังสือเอกสารกำกับและคูมือต่าง ๆ สำหรับผู้ดูแล ใครจะดูก็ดูไปนะ การแบ่งปันความรู้ไม่ผิดกฎหมาย =3= &lt;br /&gt;
&lt;br /&gt;
This wiki is in both English language and Thai languages, whatever suits the person writing the documentation &lt;br /&gt;
&lt;br /&gt;
วิกินี้มีทั้งภาษาไทยและอังกฤษ ใครจะใช้อะไรตามสะดวกก็ใช้ &lt;br /&gt;
&lt;br /&gt;
Namespace ณ ปัจจุบัน: &lt;br /&gt;
&lt;br /&gt;
* [[Server:Main Page]]&lt;br /&gt;
* [[Docs:Main Page]]&lt;br /&gt;
* [[Dialect:Main Page]]&lt;br /&gt;
* T[[Thawia.ng:Main Page|hawia.ng:Main Page]]&lt;br /&gt;
&lt;br /&gt;
Miscellaneous pages:&lt;br /&gt;
&lt;br /&gt;
* [[To-do list]]&lt;br /&gt;
&lt;br /&gt;
== MediaWiki&#039;s default ==&lt;br /&gt;
&amp;lt;strong&amp;gt;MediaWiki has been installed.&amp;lt;/strong&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User&#039;s Guide] for information on using the wiki software.&lt;br /&gt;
&lt;br /&gt;
== Getting started ==&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Configuration settings list]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWiki FAQ]&lt;br /&gt;
* [https://lists.wikimedia.org/postorius/lists/mediawiki-announce.lists.wikimedia.org/ MediaWiki release mailing list]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]&lt;br /&gt;
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Copperplate&amp;diff=22</id>
		<title>Copperplate</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Copperplate&amp;diff=22"/>
		<updated>2025-05-28T13:45:16Z</updated>

		<summary type="html">&lt;p&gt;Techit: add data&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;Copperplate&#039;&#039;&#039; was a physical server hosted at [[User:Techit|Techit]]&#039;s house. It was originally an HP G71 laptop equipped with 3 GB of RAM and a 500 GB hard drive, later upgraded to a 120 GB SSD.&lt;br /&gt;
&lt;br /&gt;
Unfortunately, we are no longer able to maintain it, as the hardware is older than Techit and maintenance costs have become unsustainable.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=Server&amp;diff=21</id>
		<title>Server</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=Server&amp;diff=21"/>
		<updated>2025-05-28T01:54:58Z</updated>

		<summary type="html">&lt;p&gt;Techit: /* Deprecated servers */ added techit&amp;#039;s servers&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to pages all about our servers and containers, not to be confused with [[Docs:Main Page]]; this page is for servers information, well, technically it&#039;s also a documentation. But everything here is a documentation anyway 🤷.&lt;br /&gt;
&lt;br /&gt;
== Current servers ==&lt;br /&gt;
Physical, touchable, see-able, in the flesh servers.&lt;br /&gt;
&lt;br /&gt;
* [[Server:Thetic]]&lt;br /&gt;
* [[Server:NonGNU]]&lt;br /&gt;
* [[Server:AsusArch]]&lt;br /&gt;
&lt;br /&gt;
Virtual, untouchable, you&#039;d be lucky to see it physically servers.&lt;br /&gt;
&lt;br /&gt;
* [[Server:Delta]]&lt;br /&gt;
* [[Server:Butterfly]]&lt;br /&gt;
&lt;br /&gt;
== Deprecated servers ==&lt;br /&gt;
Physical, somatic, corporeal servers&lt;br /&gt;
&lt;br /&gt;
* [[Server:Original]]&lt;br /&gt;
* [[Server:Dailitation]]&lt;br /&gt;
* [[Server:Copperplate]]&lt;br /&gt;
* [[Server:Ancient_Debris]]&lt;br /&gt;
* [[Server:Superbytes]]&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=To-do_list&amp;diff=20</id>
		<title>To-do list</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=To-do_list&amp;diff=20"/>
		<updated>2025-05-28T01:51:31Z</updated>

		<summary type="html">&lt;p&gt;Techit: /* Techit */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to to-do list. There&#039;s a global and admin-specific to-do list here.&lt;br /&gt;
&lt;br /&gt;
== Lists ==&lt;br /&gt;
&lt;br /&gt;
=== Global ===&lt;br /&gt;
-&lt;br /&gt;
&lt;br /&gt;
=== Diskette ===&lt;br /&gt;
&lt;br /&gt;
* Replace every Incus container to use a static IP address (NonGNU, Thetic, Butterfly, Delta)&lt;br /&gt;
* Replace the to-do above to use OVN/OVS for port routing (forwarding? I have no idea about the terminology)&lt;br /&gt;
&lt;br /&gt;
=== Techit ===&lt;br /&gt;
&lt;br /&gt;
* Write about &#039;&#039;your&#039;&#039; server information&lt;br /&gt;
* -# i retired all of my servers, thanks :(&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
	<entry>
		<id>https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=6</id>
		<title>User:Techit</title>
		<link rel="alternate" type="text/html" href="https://internal.dailitation.xyz/mediawiki/index.php?title=User:Techit&amp;diff=6"/>
		<updated>2025-05-26T10:11:48Z</updated>

		<summary type="html">&lt;p&gt;Techit: add basic hierarchy to user page&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Techit Thawiang (Sumo; born Darunbhop Thawiang) is an ordinary 15 years old who likes to develop software for his own need. He dreams to be a software engineer and an entrepreneur.&lt;/div&gt;</summary>
		<author><name>Techit</name></author>
	</entry>
</feed>