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Created page with "== Test math == <math>\phi</math> <br> $$ \psi $$"
 
Adding text on a local instance of this mediawiki.
 
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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 ==
<center>
{|
|+ several images side by side – center:
|[[File:Rock_climber_on_the_Main_Wall_Trowbarrow.jpg|200px|thumb|right|the steep direct path]]
|[[File:Stone_path_on_Fan_Brycheiniog.jpg|200px|thumb|right|the long incremental path]]
|}</center>
{| style="margin-left: auto; margin-right: 0px;"
|+ several images side by side – on the right:
|[[File:Rock_climber_on_the_Main_Wall_Trowbarrow.jpg|200px|thumb|right|the steep direct path]]
|[[File:Stone_path_on_Fan_Brycheiniog.jpg|200px|thumb|right|the long incremental path]]
|}
== info-box-template snatched from Wikidata ==
Wanted: Better layout for main-page. => learn from Wikidata.
* [https://www.wikidata.org/wiki/Template:Main_Page/Frame wikidata main page frame]
* [https://www.wikidata.org/w/index.php?title=Wikidata:Main_Page_%28Simple_English%29&action=edit wikitata MP without pics]
* How are those placed side by side?
* How are the images made to scale with browser-window-size?
----
<div style="box-shadow: 0 0 .3em #999; border-radius: .2em; margin: 1em 0 2em 0; padding: 1px;">
<div style="background: #{{{color|888}}}; border-radius: .2em; color: #FFF; padding: .4em .8em .5em;"><span style="opacity: .7;">[[File:Wikidata-logo white.svg|27px|link=|alt=]]</span> &nbsp; '''{{{title}}}'''</div>
<div style="padding: 1em;">{{{content}}}</div></div><noinclude>{{documentation}}{{protected}}</noinclude>
== Test math ==
== Test math ==


<math>\phi</math> <br>
<math> \phi= \int_{-\pi}^{\pi}sin(x) dx </math>
$$ \psi $$
 
* [[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 =
 
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

several images side by side – center:
the steep direct path
the long incremental path


several images side by side – on the right:
the steep direct path
the long incremental path

info-box-template snatched from Wikidata

Wanted: Better layout for main-page. => learn from Wikidata.


  {{{title}}}
{{{content}}}

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

[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?

Template:APMwiki news

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

A personal desktop gem-gum factory fabblet with dynamically deployed protective hood and anemone-arm fairy-hands.

The personal gem gum factory is:

  • Your personal device that can push out virtually every thing* of your daily use.
    (* at least every inedible thing)

The personal gem gum factory makes:

  • Your products that are as cheap as the abundant mining-free raw materials that it processes.
  • Your products that are far superior to today's best and ridiculously expensive high tech products.
  • Your products potentially in an environmentally friendly effluent free way
    (also advanced recycling is faster than producing from scratch)

(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

https://www.patreon.com/mechadense
https://www.patreon.com/mechadense

Support this wiki via Patreon. 🙏
Pages with recent activity documented on page: Logs.
For other possible ways to support see page: Support

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.

References

  1. ↑ 1.0 1.1 Reference one with a link inside Main Page – orf.at