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Kfagerstrom at 16:45, 8 March 2023

2023-03-08T16:45:45Z

Kfagerstrom: /* Math */

2023-03-08T16:44:19Z

Math

Tboudreaux at 00:56, 7 December 2022

2022-12-07T00:56:40Z

Tboudreaux at 00:53, 7 December 2022

2022-12-07T00:53:50Z

Tboudreaux at 00:47, 7 December 2022

2022-12-07T00:47:06Z

Tboudreaux at 21:43, 6 December 2022

2022-12-06T21:43:39Z

Tboudreaux at 21:42, 6 December 2022

2022-12-06T21:42:48Z

Tboudreaux at 21:38, 6 December 2022

2022-12-06T21:38:19Z

MediaWiki default at 21:07, 6 December 2022

2022-12-06T21:07:51Z

New page

<strong>MediaWiki has been installed.</strong>

Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.

== Getting started ==
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Configuration settings list]
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWiki FAQ]
* [https://lists.wikimedia.org/mailman/listinfo/mediawiki-announce MediaWiki release mailing list]
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]
* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]

← Older revision		Revision as of 16:45, 8 March 2023
Line 15:		Line 15:
	A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.		A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.

		+	== Math ==
		+	There are a few latex plugins for MediaWiki. I've installed the <code>SimpleMathJax</code> plugin. This works using <code>MathJax</code> on <code>cdn.jsdelivr.net</code>. You can make a math enviroment using the <code>math</code> HTML tag.

−	~~'''Definition:''' An~~ <math>R</math>-module <math>M</math> is a '''free''' <math>R</math>-module if <math>M</math> has a basis. A subset <math>A</math> of an <math>R</math>-module <math>M</math> is a basis of <math>M</math> if <math>A</math> is linearly independent and generates <math>M</math>.	+	<math> \frac{\lambda}{\alpha} = 4 </math>
−
−	~~'''Examples:'''~~
−	~~# <math>R=R~~\{~~1_R~~\}~~</math> is a free <math>R</math>-module~~
−	~~# <math>R^2=R\oplus R</math> has basis <math>\~~{~~(1_R,0_R),(0_R,1_R)~~\}~~</math>~~
−	~~# <math>R[x]</math> is a free <math>R</math>-module with (infinite) basis <math>\{1,x,x^2,...,x^i,...\}</math>~~
−	~~# <math>R[x,y]</math> has basis <math>\{x^n,y^m\ \|\ n,m\geq 0 \}</math> as free <math>R</math>-module~~
−	~~# <math>R[x,y]</math> has basis <math>\{1,y,y^2, ...,y^i,...\}</math> as free <math>R[x]</math>-module~~
−
−
−	All free <math>R</math>-modules <math>M </math> have some basis <math>B=\{b_1,...,b_n\} </math> so have rank <math>n </math>, and can be written as <math>R^n\cong M </math>. Additionally every element <math>m\in M </math> can be uniquely written <math> m=~~\sum_{i=1}^n r_ib_i~~</math>.

← Older revision		Revision as of 16:44, 8 March 2023
Line 15:		Line 15:
	A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.		A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.

−	~~== Math ==~~
−	There are a few latex plugins for MediaWiki. I've installed the <code>SimpleMathJax</code> plugin. This works using <code>MathJax</code> on <code>cdn.jsdelivr.net</code>. You can make a math enviroment using the <code>math</code> HTML tag.

−	<math> \~~frac~~{\~~lambda~~}{\~~alpha~~} = 4 </math>	+	'''Definition:''' An <math>R</math>-module <math>M</math> is a '''free''' <math>R</math>-module if <math>M</math> has a basis. A subset <math>A</math> of an <math>R</math>-module <math>M</math> is a basis of <math>M</math> if <math>A</math> is linearly independent and generates <math>M</math>.
		+
		+	'''Examples:'''
		+	# <math>R=R\{1_R\}</math> is a free <math>R</math>-module
		+	# <math>R^2=R\oplus R</math> has basis <math>\{(1_R,0_R),(0_R,1_R)\}</math>
		+	# <math>R[x]</math> is a free <math>R</math>-module with (infinite) basis <math>\{1,x,x^2,...,x^i,...\}</math>
		+	# <math>R[x,y]</math> has basis <math>\{x^n,y^m\ \|\ n,m\geq 0 \}</math> as free <math>R</math>-module
		+	# <math>R[x,y]</math> has basis <math>\{1,y,y^2, ...,y^i,...\}</math> as free <math>R[x]</math>-module
		+
		+
		+	All free <math>R</math>-modules <math>M </math> have some basis <math>B=\{b_1,...,b_n\} </math> so have rank <math>n </math>, and can be written as <math>R^n\cong M </math>. Additionally every element <math>m\in M </math> can be uniquely written <math> m=\sum_{i=1}^n r_ib_i</math>.

← Older revision		Revision as of 00:56, 7 December 2022
Line 14:		Line 14:

	A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.		A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.
		+
		+	== Math ==
		+	There are a few latex plugins for MediaWiki. I've installed the <code>SimpleMathJax</code> plugin. This works using <code>MathJax</code> on <code>cdn.jsdelivr.net</code>. You can make a math enviroment using the <code>math</code> HTML tag.

	<math> \frac{\lambda}{\alpha} = 4 </math>		<math> \frac{\lambda}{\alpha} = 4 </math>

← Older revision		Revision as of 00:53, 7 December 2022
Line 15:		Line 15:
	A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.		A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.

−	$$ \frac{\lambda}{\alpha} = 4 $$	+	<math> \frac{\lambda}{\alpha} = 4 </math>

← Older revision		Revision as of 00:47, 7 December 2022
Line 14:		Line 14:

	A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.		A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.
		+
		+	$$ \frac{\lambda}{\alpha} = 4 $$

← Older revision		Revision as of 21:43, 6 December 2022
Line 11:		Line 11:

	== Quick Start ==		== Quick Start ==
−	MediaWiki takes the approach of not providing a real dashboard for editing. In the long run this makes things way easier but it can be a bit weird at the very start. For example if you look to a button to create a new page you wont find one. However, it is very easy to make new pages. Say you want to make a page called <pre>FancyMathStuff</pre> then you would, in the URL bar, enter <pre>https://wiki.algebrist.ddns.net/index.php?title=FancyMathStuff</pre>	+	MediaWiki takes the approach of not providing a real dashboard for editing. In the long run this makes things way easier but it can be a bit weird at the very start. For example if you look to a button to create a new page you wont find one. However, it is very easy to make new pages. Say you want to make a page called <pre>FancyMathStuff</pre> then you would, in the URL bar, enter <pre>https://wiki.algebrist.ddns.net/index.php?title=FancyMathStuff</pre>. On that page you will see the option to create it!
		+
		+	A lot of stuff in MediaWiki is like this, there's not a button for it but its actually quite easy. The docs are super helpful and well done.

← Older revision		Revision as of 21:42, 6 December 2022
Line 9:		Line 9:
	* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]		* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]
	* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]		* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]
		+
		+	== Quick Start ==
		+	MediaWiki takes the approach of not providing a real dashboard for editing. In the long run this makes things way easier but it can be a bit weird at the very start. For example if you look to a button to create a new page you wont find one. However, it is very easy to make new pages. Say you want to make a page called <pre>FancyMathStuff</pre> then you would, in the URL bar, enter <pre>https://wiki.algebrist.ddns.net/index.php?title=FancyMathStuff</pre>

← Older revision		Revision as of 21:38, 6 December 2022
Line 1:		Line 1:
−	<strong>MediaWiki ~~has been installed.~~</strong>	+	<strong>Welcome to an Example MediaWiki Instance Hosted on Algebrist!</strong>

	Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.		Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.