Template:Equation: Difference between revisions

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| {{{equation}}}
| {{{equation}}}
|-  
|-  
| '''Fields'''
| '''[[Field]]s'''
| {{{fields}}}
| {{{fields}}}
|-  
|-  
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| {{{related}}}
| {{{related}}}
|}
|}
<includeonly>[[Category:Equations]]</includeonly>
<includeonly>
[[Category:Equations]]
<!-- [[Category:{{{linear}}}]] -->
</includeonly>
</div>
</div>
</div>
</div>
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brackets appropriately):
brackets appropriately):


:<nowiki>{{equation</nowiki>
<nowiki>{{equation</nowiki>
<nowiki> | name = <name of equation></nowiki>
<nowiki> | equation = <formula for equation></nowiki>
<nowiki> | fields = <the fields involved in the equation></nowiki>
<nowiki> | data = <the initial data class> </nowiki>
<nowiki> | hamiltonian = <the degree of hamiltonian structure></nowiki>
<nowiki> | linear = <the linear component of the equation></nowiki>
<nowiki> | nonlinear = <the strength of the nonlinearity></nowiki>
<nowiki> | critical = <the scale invariant initial data class></nowiki>
<nowiki> | criticality = <subcritical, critical, or supercritical></nowiki>
<nowiki> | covariance = <the geometric symmetry group></nowiki>
<nowiki> | lwp = <best known local wellposedness></nowiki>
<nowiki> | gwp = <best known global wellposedness></nowiki>
<nowiki> | parent = <more general equation></nowiki>
<nowiki> | special = <more specific equation></nowiki>
<nowiki> | related = <related equations></nowiki>
<nowiki>}}</nowiki>


:<nowiki> | name = <name of equation></nowiki>
The template will also add the page to the [[:category:Equations|Equation category]]<!-- , and to one of the categories [[:category:Schrodinger|Shrodinger]], [[:category:Equations|Wave]], or [[:category:Airy|Airy]] depending on the parameter ''linear'' -->.
 
:<nowiki> | equation = <formula for equation></nowiki>
 
:<nowiki> | fields = <the fields involved in the equation></nowiki>
 
:<nowiki> | data = <the initial data class> </nowiki>
 
:<nowiki> | hamiltonian = <the degree of hamiltonian structure></nowiki>
 
:<nowiki> | linear = <the linear component of the equation></nowiki>
 
:<nowiki> | nonlinear = <the strength of the nonlinearity></nowiki>
 
:<nowiki> | critical = <the scale invariant initial data class></nowiki>
 
:<nowiki> | criticality = <is the equation subcritical, critical, or supercritical in various senses?></nowiki>
 
:<nowiki> | covariance = <the geometric symmetry group></nowiki>
 
:<nowiki> | lwp = <best known local wellposedness></nowiki>
 
:<nowiki> | gwp = <best known global wellposedness></nowiki>
 
:<nowiki> | parent = <more general equation></nowiki>
 
:<nowiki> | special = <more specific equation></nowiki>
 
:<nowiki> | related = <related equations></nowiki>
 
:<nowiki>}}</nowiki>


See for instance the page on [[NLS]] for an instance of this template in action.
See for instance the page on [[NLS]] for an instance of this template in action.
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* ''linear'': For most equations the options will be [[free Schrodinger equation|Schrodinger]], [[free wave equation|wave]], or [[Airy equation|Airy]].
* ''linear'': For most equations the options will be [[free Schrodinger equation|Schrodinger]], [[free wave equation|wave]], or [[Airy equation|Airy]].
* ''nonlinear'': The options here are [[linear]], [[semilinear]], [[semilinear|semilinear with derivatives]], [[quasilinear]], and [[fully nonlinear]].
* ''nonlinear'': The options here are [[linear]], [[semilinear]], [[semilinear|semilinear with derivatives]], [[quasilinear]], and [[fully nonlinear]].
* ''criticality'': critically with respect to mass, energy, or scattering.  See [[Critical]].
* ''criticality'': Describe here whether the equation is sub-critical, critical, or super-critical with respect to mass, energy, or scattering (if appropriate).  See [[Critical]].
* ''covariance'': Typically one has [[Galilean]] or [[Lorentzian]] symmetry, sometimes supplemented by [[gauge]] invariance; occasionally one also has [[conformal]] or [[pseudoconformal]] symmetry.
* ''covariance'': Typically one has [[Galilean]] or [[Lorentzian]] symmetry, sometimes supplemented by [[gauge]] invariance; occasionally one also has [[conformal]] or [[pseudoconformal]] symmetry.
[[Category:Equations]]
[[Category:Template]]
</noinclude>
</noinclude>

Latest revision as of 05:09, 22 August 2008

{{{name}}}
Description
Equation {{{equation}}}
Fields {{{fields}}}
Data class {{{data}}}
Basic characteristics
Structure {{{hamiltonian}}}
Nonlinearity {{{nonlinear}}}
Linear component {{{linear}}}
Critical regularity {{{critical}}}
Criticality {{{criticality}}}
Covariance {{{covariance}}}
Theoretical results
LWP {{{lwp}}}
GWP {{{gwp}}}
Related equations
Parent class {{{parent}}}
Special cases {{{special}}}
Other related {{{related}}}

How to use this template

To insert an infobox such as the one on the right onto any page, add the following text near the top of the page (and edit the text in angled brackets appropriately):

{{equation
 | name = <name of equation>
 | equation = <formula for equation>
 | fields = <the fields involved in the equation>
 | data = <the initial data class> 
 | hamiltonian = <the degree of hamiltonian structure>
 | linear = <the linear component of the equation>
 | nonlinear = <the strength of the nonlinearity>
 | critical = <the scale invariant initial data class>
 | criticality = <subcritical, critical, or supercritical>
 | covariance = <the geometric symmetry group>
 | lwp = <best known local wellposedness>
 | gwp = <best known global wellposedness>
 | parent = <more general equation>
 | special = <more specific equation>
 | related = <related equations>
}}

The template will also add the page to the Equation category.

See for instance the page on NLS for an instance of this template in action.

Some commentary on the less self-explanatory of these tags: