Sandbox: Difference between revisions
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= Safe spaces for reprap wiki pre-writes – due to the logout time there being waaaaay to short = | |||
* [[RepRec pick & place robots (RepRap)]] | |||
== Testing image layouts == | == Testing image layouts == | ||
<center> | <center> | ||
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<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math> | <math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math> | ||
* [[Useful math]] | |||
* [[Exotic math]] | |||
* [[Pages containing math]] | |||
=== For real p orbitals ''ℓ'' = 1 === | |||
<math display="block">\begin{align} | |||
Y_{1,-1} & = p_y = i \sqrt{\frac{1}{2}} \left( Y_1^{- 1} + Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{y}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \sin \varphi \\ | |||
Y_{1,0} & = p_z = Y_1^0 = \sqrt{\frac{3}{4 \pi}} \cdot \frac{z}{r} = \sqrt{\frac{3}{4 \pi}} \cos( \theta) \\ | |||
Y_{1,1} & = p_x = \sqrt{\frac{1}{2}} \left( Y_1^{- 1} - Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{x}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \cos \varphi | |||
\end{align}</math> | |||
=== For real d orbitals ''ℓ'' = 2 === | |||
* For page: [[Atomic orbitals]] | |||
* Source: https://en.m.wikipedia.org/wiki/Table_of_spherical_harmonics#Real_spherical_harmonics | |||
<math display="block"> \begin{align} | |||
Y_{2,-2} & = d_{xy} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 2} - Y_2^2\right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x y}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \sin(2\varphi) \\ | |||
Y_{2,-1} & = d_{yz} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 1} + Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{y \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \sin \varphi \\ | |||
Y_{2,0} & = d_{z^2} = Y_2^0 = \frac{1}{4} \sqrt{\frac{5}{\pi}} \cdot \frac{3z^2 - r^2}{r^2} = \frac{1}{4} \sqrt{\frac{5}{\pi}} (3\cos^{2}\theta -1)\\ | |||
Y_{2,1} & = d_{xz} = \sqrt{\frac{1}{2}} \left( Y_2^{- 1} - Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \cos \varphi\\ | |||
Y_{2,2} & = d_{x^2-y^2} = \sqrt{\frac{1}{2}} \left( Y_2^{- 2} + Y_2^2 \right) = \frac{1}{4} \sqrt{\frac{15}{\pi}} \cdot \frac{x^2 - y^2 }{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \cos(2\varphi) | |||
\end{align}</math> | |||
= For New Main Page = | = For New Main Page = | ||
= | Don't fall pray to the [[prime distractions]]. | ||
== Whats new on this wiki? == | |||
{{template:APMwiki news}} | |||
== Where we're at and where we're headed to. == | |||
=== Current state === | |||
{{Template:Cutting edge}}<br> | |||
{{wikitodo|make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo}}<br> | |||
{{wikitodo|add infobox with structural DNA hinge left and atom placement example right – plus contxt images?}} | |||
=== Far term target === | |||
{{Template:Nanofactory introduction}} | |||
{{wikitodo|Nanofactory introduction infobox: both images need to go - (not anymore?)! make new better sketch of nanofactory - maybe add censored products pic - ditch or improve on covergent assemby}} | |||
== What, Why, How, When == | |||
moved to main page (removed here) | |||
== Pick your favorite concern == | |||
== | This does not work because of ...<br> | ||
[[Friction]] • [[Thermal motion]] • [[Thermal decay at room temperature]] ([[Thermodynamics]]) • [[Fat finger problem|Fat fingers]] • [[Sticky finger problem|Sticky fingers]] • [[bootstrapping|Chicken egg problem]] • [[Nature does it differently]] • [[Quantum mechanics]] | |||
= For a new orientation page = | |||
Moved to: [[Tour by map]] | |||
= Misc = | |||
* [[Miscellaneous]] | |||
* [[Pages with math]] | |||
[[Category:Pages with math]] | |||
= Refeencetests = | |||
[https://www.mediawiki.org/wiki/Help:Cite References explained on the mediawiki wiki.] | |||
< | Referring to the same reference with its name: <ref name="refname1"/> <br> | ||
Creating a reference plus it's name: <ref name="refname1"> Reference one with a link inside [[Main Page]] – [https://orf.at orf.at]</ref> <br> | |||
" | See: This works in reverse too. | ||
= PatreonBanner Template test = | |||
{{PatreonBanner}} | |||
{ | |||
< | Embeddable button: [https://www.patreon.com/dashboard/widgets (offered here)]<br> | ||
<a href="https://www.patreon.com/bePatron?u=3816093" data-patreon-widget-type="become-patron-button">Become a Patron!</a><script async src="https://c6.patreon.com/becomePatronButton.bundle.js"></script> | |||
</ | |||
= Misc tests = | |||
Adding text on a local instance of this mediawiki. | |||
= References = | |||
<references/> | |||
Latest revision as of 23:44, 19 January 2026
Safe spaces for reprap wiki pre-writes – due to the logout time there being waaaaay to short
Testing image layouts
 |
 |
|
|
info-box-template snatched from Wikidata
Wanted: Better layout for main-page. => learn from Wikidata.
- wikidata main page frame
- wikitata MP without pics
- How are those placed side by side?
- How are the images made to scale with browser-window-size?
{{{title}}}Template:DocumentationTemplate:Protected
Test math
[math]\displaystyle{ \phi= \int_{-\pi}^{\pi}sin(x) dx }[/math]
For real p orbitals ℓ = 1
[math]\displaystyle{ \begin{align} Y_{1,-1} & = p_y = i \sqrt{\frac{1}{2}} \left( Y_1^{- 1} + Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{y}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \sin \varphi \\ Y_{1,0} & = p_z = Y_1^0 = \sqrt{\frac{3}{4 \pi}} \cdot \frac{z}{r} = \sqrt{\frac{3}{4 \pi}} \cos( \theta) \\ Y_{1,1} & = p_x = \sqrt{\frac{1}{2}} \left( Y_1^{- 1} - Y_1^1 \right) = \sqrt{\frac{3}{4 \pi}} \cdot \frac{x}{r} = \sqrt{\frac{3}{4 \pi}} \sin( \theta) \cos \varphi \end{align} }[/math]
For real d orbitals ℓ = 2
- For page: Atomic orbitals
- Source: https://en.m.wikipedia.org/wiki/Table_of_spherical_harmonics#Real_spherical_harmonics
[math]\displaystyle{ \begin{align} Y_{2,-2} & = d_{xy} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 2} - Y_2^2\right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x y}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \sin(2\varphi) \\ Y_{2,-1} & = d_{yz} = i \sqrt{\frac{1}{2}} \left( Y_2^{- 1} + Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{y \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \sin \varphi \\ Y_{2,0} & = d_{z^2} = Y_2^0 = \frac{1}{4} \sqrt{\frac{5}{\pi}} \cdot \frac{3z^2 - r^2}{r^2} = \frac{1}{4} \sqrt{\frac{5}{\pi}} (3\cos^{2}\theta -1)\\ Y_{2,1} & = d_{xz} = \sqrt{\frac{1}{2}} \left( Y_2^{- 1} - Y_2^1 \right) = \frac{1}{2} \sqrt{\frac{15}{\pi}} \cdot \frac{x \cdot z}{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin(2 \theta) \cos \varphi\\ Y_{2,2} & = d_{x^2-y^2} = \sqrt{\frac{1}{2}} \left( Y_2^{- 2} + Y_2^2 \right) = \frac{1}{4} \sqrt{\frac{15}{\pi}} \cdot \frac{x^2 - y^2 }{r^2} = \frac{1}{4} \sqrt{\frac{15}{\pi}} \sin^{2}\theta \cos(2\varphi) \end{align} }[/math]
For New Main Page
Don't fall pray to the prime distractions.
Whats new on this wiki?
Where we're at and where we're headed to.
Current state
Template:Cutting edge
(wiki-TODO: make cutting edge info-box with: sketch of structural DNA hinge mechanism & atom placement demo)
(wiki-TODO: add infobox with structural DNA hinge left and atom placement example right – plus contxt images?)
Far term target
 |
The personal gem gum factory is:
The personal gem gum factory makes:
|
(wiki-TODO: Nanofactory introduction infobox: both images need to go - (not anymore?)! make new better sketch of nanofactory - maybe add censored products pic - ditch or improve on covergent assemby)
What, Why, How, When
moved to main page (removed here)
Pick your favorite concern
This does not work because of ...
Friction • Thermal motion • Thermal decay at room temperature (Thermodynamics) • Fat fingers • Sticky fingers • Chicken egg problem • Nature does it differently • Quantum mechanics
For a new orientation page
Moved to: Tour by map
Misc
Refeencetests
References explained on the mediawiki wiki.
Referring to the same reference with its name: [1]
Creating a reference plus it's name: [1]
See: This works in reverse too.
PatreonBanner Template test
 |
Support this wiki via Patreon. 🙏 |
Embeddable button: (offered here)
<a href="https://www.patreon.com/bePatron?u=3816093" data-patreon-widget-type="become-patron-button">Become a Patron!</a><script async src="https://c6.patreon.com/becomePatronButton.bundle.js"></script>
Misc tests
Adding text on a local instance of this mediawiki.