Difference between revisions of "Template:Classes of natural numbers"

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imported>Arlene Foster
imported>Arlene Foster
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{{Navbox
+
{{Navbox with collapsible groups
 
| name  = Classes of natural numbers
 
| name  = Classes of natural numbers
 
| title  = Classes of [[natural number]]s
 
| title  = Classes of [[natural number]]s
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| state  = {{{state|<includeonly>collapsed</includeonly>}}}
 
| state  = {{{state|<includeonly>collapsed</includeonly>}}}
  
|group1 = [[Exponentiation|Powers]] and<br/> related numbers
+
|group1 = [[Exponentiation|Powers]] and related numbers
 
|list1 =  
 
|list1 =  
 
* [[Achilles number|Achilles]]
 
* [[Achilles number|Achilles]]
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* [[Prime power]]
 
* [[Prime power]]
  
|group2 = Of the form<br/> ''a'' &times; 2<sup>''b''</sup> ± 1
+
|group2 = Of the form ''a'' &times; 2<sup>''b''</sup> ± 1
 
|list2 =  
 
|list2 =  
 
* [[Cullen number|Cullen]]
 
* [[Cullen number|Cullen]]
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* [[Woodall number|Woodall]]
 
* [[Woodall number|Woodall]]
  
|group3 = Other polynomial<br/> numbers
+
|group3 = Other polynomial numbers
 
|list3 =  
 
|list3 =  
 
* [[Carol number|Carol]]
 
* [[Carol number|Carol]]
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* [[Lucky numbers of Euler]]
 
* [[Lucky numbers of Euler]]
  
|group4 = [[Recursion|Recursively]] defined<br/> numbers
+
|group4 = [[Recursion|Recursively]] defined numbers
 
|list4 =  
 
|list4 =  
 
* [[Fibonacci number|Fibonacci]]
 
* [[Fibonacci number|Fibonacci]]
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* [[Pell number|Pell]]
 
* [[Pell number|Pell]]
 
* [[Perrin number|Perrin]]
 
* [[Perrin number|Perrin]]
|group5 = Possessing a<br/> specific set<br/> of other numbers
+
|group5 = Possessing a specific set of other numbers
 
|list5 =  
 
|list5 =  
 
* [[Knödel number|Knödel]]
 
* [[Knödel number|Knödel]]
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* [[Sierpinski number|Sierpinski]]
 
* [[Sierpinski number|Sierpinski]]
  
|group6 = Expressible via<br/> specific sums
+
|group6 = Expressible via specific sums
 
|list6 =  
 
|list6 =  
 
* [[Nonhypotenuse number|Nonhypotenuse]]
 
* [[Nonhypotenuse number|Nonhypotenuse]]
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}}
 
}}
  
|group8 = [[Number base|Base]]-dependent<br/> numbers
+
|group8 = [[Number base|Base]]-dependent numbers
 
|list8 = {{Navbox|subgroup
 
|list8 = {{Navbox|subgroup
 
  |group1 = [[Arithmetic functions]] and [[Arithmetic dynamics|dynamics]]
 
  |group1 = [[Arithmetic functions]] and [[Arithmetic dynamics|dynamics]]
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}}
 
}}
  
|group9 = Combinatorial<br/> numbers
+
|group9 = Combinatorial numbers
 
|list9 =  
 
|list9 =  
 
* [[Bell number|Bell]]
 
* [[Bell number|Bell]]
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* [[Wilson prime#Wilson numbers|Wilson]]
 
* [[Wilson prime#Wilson numbers|Wilson]]
  
|group13 = Other [[prime factor]]<br/> or [[divisor]] related<br/> numbers
+
|group13 = Other [[prime factor]] or [[divisor]] related numbers
 
|list13 =  
 
|list13 =  
 
* [[Blum integer|Blum]]
 
* [[Blum integer|Blum]]
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* [[Pernicious number|Pernicious]]
 
* [[Pernicious number|Pernicious]]
  
|group15 = Generated<br/> via a [[Sieve theory|sieve]]
+
|group15 = Generated via a [[Sieve theory|sieve]]
 
|list15 =  
 
|list15 =  
 
* [[Lucky number|Lucky]]
 
* [[Lucky number|Lucky]]

Revision as of 02:11, 1 December 2019

Template documentation

Initial visibility: currently defaults to autocollapse

To set this template's initial visibility, the |state= parameter may be used:

  • |state=collapsed: {{Classes of natural numbers|state=collapsed}} to show the template collapsed, i.e., hidden apart from its title bar
  • |state=expanded: {{Classes of natural numbers|state=expanded}} to show the template expanded, i.e., fully visible
  • |state=autocollapse: {{Classes of natural numbers|state=autocollapse}}
    • shows the template collapsed to the title bar if there is a {{navbar}}, a {{sidebar}}, or some other table on the page with the collapsible attribute
    • shows the template in its expanded state if there are no other collapsible items on the page

If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to autocollapse.

See also