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In [[Grand_unification_theory|grand unified theories]] of the SU(5) or SO(10) type, there is a mass relation predicted between the [[electron]] and the [[down quark]], the [[muon]] and the [[strange quark]] and the [[tau lepton]] and the [[bottom quark]] called the '''Georgi-Jarlskog mass relations'''. The relations were formulated by [[Howard Georgi]] and [[Cecilia Jarlskog]].<ref>Georgi H., Jarlskog C. [http://dx.doi.org/10.1016/0370-2693(79)90842-6 A new lepton-quark mass relation in a unified theory] (1979) Physics Letters B, 86 (3-4), pp. 297-300. </ref>
This is a preview for the new '''MathML rendering mode''' (with SVG fallback), which is availble in production for registered users.


At GUT scale, these are sometimes quoted as:
If you would like use the '''MathML''' rendering mode, you need a wikipedia user account that can be registered here [[https://en.wikipedia.org/wiki/Special:UserLogin/signup]]
* Only registered users will be able to execute this rendering mode.
* Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.


:<math>m_e \approx \frac{1}{3} m_d</math>
Registered users will be able to choose between the following three rendering modes:  


:<math>m_{\mu} \approx 3 m_s</math>
'''MathML'''
:<math forcemathmode="mathml">E=mc^2</math>


:<math>m_{\tau} \approx m_b</math>
<!--'''PNG'''  (currently default in production)
:<math forcemathmode="png">E=mc^2</math>


and sometimes as:
'''source'''
:<math forcemathmode="source">E=mc^2</math> -->


:<math>\frac{m_d}{m_s} \approx 9 \frac{m_e}{m_\mu}</math>
<span style="color: red">Follow this [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering link] to change your Math rendering settings.</span> You can also add a [https://en.wikipedia.org/wiki/Special:Preferences#mw-prefsection-rendering-skin Custom CSS] to force the MathML/SVG rendering or select different font families. See [https://www.mediawiki.org/wiki/Extension:Math#CSS_for_the_MathML_with_SVG_fallback_mode these examples].


:<math>\frac{m_s}{m_b} \approx \frac{1}{3} \frac{m_\mu}{m_\tau}</math>
==Demos==


{| class="wikitable" style="margin:0 0 1em 1em;"
Here are some [https://commons.wikimedia.org/w/index.php?title=Special:ListFiles/Frederic.wang demos]:
|+Current values for Lepton and Quark masses
|-
! Symbol
! Description
! Renormalization<br /> scheme (point)
! Value
|-
|''m''<sub>e</sub>
|Electron mass
|
|511 keV
|-
|''m''<sub>d</sub>
|Down quark mass
|''μ''<sub>{{overline|MS}}</sub> = 2 GeV
|4.4 MeV
|-
|''m''<sub>u</sub>
|Up quark mass
|''μ''<sub>[[MSbar scheme|{{overline|MS}}]]</sub> = 2 GeV
|1.9 MeV
|-
|''m''<sub>μ</sub>
|Muon mass
|
|105.7 MeV
|-
|''m''<sub>s</sub>
|Strange quark mass
|''μ''<sub>{{overline|MS}}</sub> = 2 GeV
|87 MeV
|-
|''m''<sub>c</sub>
|Charm quark mass
|''μ''<sub>{{overline|MS}}</sub> = ''m''<sub>c</sub>
|1.32 GeV
|-
|''m''<sub>τ</sub>
|Tau mass
|
|1.78 GeV
|-
|''m''<sub>b</sub>
|Bottom quark mass
|''μ''<sub>{{overline|MS}}</sub> = ''m''<sub>b</sub>
|4.24 GeV
|-
|''m''<sub>t</sub>
|Top quark mass
|[[On-shell scheme]]
|172.7 GeV
|}


==References==
<references/>


* accessibility:
** Safari + VoiceOver: [https://commons.wikimedia.org/wiki/File:VoiceOver-Mac-Safari.ogv video only], [[File:Voiceover-mathml-example-1.wav|thumb|Voiceover-mathml-example-1]], [[File:Voiceover-mathml-example-2.wav|thumb|Voiceover-mathml-example-2]], [[File:Voiceover-mathml-example-3.wav|thumb|Voiceover-mathml-example-3]], [[File:Voiceover-mathml-example-4.wav|thumb|Voiceover-mathml-example-4]], [[File:Voiceover-mathml-example-5.wav|thumb|Voiceover-mathml-example-5]], [[File:Voiceover-mathml-example-6.wav|thumb|Voiceover-mathml-example-6]], [[File:Voiceover-mathml-example-7.wav|thumb|Voiceover-mathml-example-7]]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Audio-Windows7-InternetExplorer.ogg Internet Explorer + MathPlayer (audio)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-SynchronizedHighlighting-WIndows7-InternetExplorer.png Internet Explorer + MathPlayer (synchronized highlighting)]
** [https://commons.wikimedia.org/wiki/File:MathPlayer-Braille-Windows7-InternetExplorer.png Internet Explorer + MathPlayer (braille)]
** NVDA+MathPlayer: [[File:Nvda-mathml-example-1.wav|thumb|Nvda-mathml-example-1]], [[File:Nvda-mathml-example-2.wav|thumb|Nvda-mathml-example-2]], [[File:Nvda-mathml-example-3.wav|thumb|Nvda-mathml-example-3]], [[File:Nvda-mathml-example-4.wav|thumb|Nvda-mathml-example-4]], [[File:Nvda-mathml-example-5.wav|thumb|Nvda-mathml-example-5]], [[File:Nvda-mathml-example-6.wav|thumb|Nvda-mathml-example-6]], [[File:Nvda-mathml-example-7.wav|thumb|Nvda-mathml-example-7]].
** Orca: There is ongoing work, but no support at all at the moment [[File:Orca-mathml-example-1.wav|thumb|Orca-mathml-example-1]], [[File:Orca-mathml-example-2.wav|thumb|Orca-mathml-example-2]], [[File:Orca-mathml-example-3.wav|thumb|Orca-mathml-example-3]], [[File:Orca-mathml-example-4.wav|thumb|Orca-mathml-example-4]], [[File:Orca-mathml-example-5.wav|thumb|Orca-mathml-example-5]], [[File:Orca-mathml-example-6.wav|thumb|Orca-mathml-example-6]], [[File:Orca-mathml-example-7.wav|thumb|Orca-mathml-example-7]].
** From our testing, ChromeVox and JAWS are not able to read the formulas generated by the MathML mode.


{{particle-stub}}
==Test pages ==


[[Category:Particle physics]]
To test the '''MathML''', '''PNG''', and '''source''' rendering modes, please go to one of the following test pages:
*[[Displaystyle]]
*[[MathAxisAlignment]]
*[[Styling]]
*[[Linebreaking]]
*[[Unique Ids]]
*[[Help:Formula]]
 
*[[Inputtypes|Inputtypes (private Wikis only)]]
*[[Url2Image|Url2Image (private Wikis only)]]
==Bug reporting==
If you find any bugs, please report them at [https://bugzilla.wikimedia.org/enter_bug.cgi?product=MediaWiki%20extensions&component=Math&version=master&short_desc=Math-preview%20rendering%20problem Bugzilla], or write an email to math_bugs (at) ckurs (dot) de .

Latest revision as of 22:52, 15 September 2019

This is a preview for the new MathML rendering mode (with SVG fallback), which is availble in production for registered users.

If you would like use the MathML rendering mode, you need a wikipedia user account that can be registered here [[1]]

  • Only registered users will be able to execute this rendering mode.
  • Note: you need not enter a email address (nor any other private information). Please do not use a password that you use elsewhere.

Registered users will be able to choose between the following three rendering modes:

MathML

E=mc2


Follow this link to change your Math rendering settings. You can also add a Custom CSS to force the MathML/SVG rendering or select different font families. See these examples.

Demos

Here are some demos:


Test pages

To test the MathML, PNG, and source rendering modes, please go to one of the following test pages:

Bug reporting

If you find any bugs, please report them at Bugzilla, or write an email to math_bugs (at) ckurs (dot) de .

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