Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Template:DGF"

From Prime-Wiki
Jump to: navigation, search
(new)
 
(order of parameters)
Line 1: Line 1:
 
<noinclude>
 
<noinclude>
 
==Purpose==
 
==Purpose==
Displays a short form of a [[Generalized Fermat number]] of the form a<sup>2<sup>n</sup></sup> + b<sup>2<sup>n</sup></sup> (if b=1 : a<sup>2<sup>n</sup></sup> + 1) with link to the page.
+
Displays a short form of a [[Generalized Fermat number]] of the form {{V|a}}<sup>2<sup>{{Vn}}</sup></sup> + {{V|b}}<sup>2<sup>{{Vn}}</sup></sup> (if {{Vb}}=1 : {{V|a}}<sup>2<sup>{{Vn}}</sup></sup> + 1) with link to the page.
  
 
==Usage==
 
==Usage==
 
This template uses one to three unnamed parameters which are defined as follows:
 
This template uses one to three unnamed parameters which are defined as follows:
 
:<code><nowiki>{{DGF|<value>|<value>|<value>}}</nowiki></code>
 
:<code><nowiki>{{DGF|<value>|<value>|<value>}}</nowiki></code>
*one parameter: the ''n''-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}: F(n)
+
*one parameter: the {{Vn}}-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}: F(n)
*two parameters: the ''a''- and ''n''-values are given and display as [[Generalized Fermat number]] {{Kbn|+|1|a|2<sup>n</sup>}}: GF(a,n)
+
*two parameters: the {{Vn}}- and {{V|a}}-values are given and display as [[Generalized Fermat number]] {{Kbn|+|1|a|2<sup>n</sup>}}: GF(n,a)
*three parameters: the ''a''-, ''b''- and ''n''-values given and display as [[Extended Generalized Fermat number]] a<sup>2<sup>n</sup></sup> + b<sup>2<sup>n</sup></sup>: xGF(a,b,n)
+
*three parameters: the {{Vn}}-, {{V|a}}- and {{Vb}}-values given and display as [[Generalized Fermat number|Extended Generalized Fermat number]] a<sup>2<sup>n</sup></sup> + b<sup>2<sup>n</sup></sup>: xGF(n,a,b)
  
 
==Examples==
 
==Examples==
 
*<code><nowiki>{{DGF|123}}</nowiki></code>: {{DGF|123}}
 
*<code><nowiki>{{DGF|123}}</nowiki></code>: {{DGF|123}}
*<code><nowiki>{{DGF|3|123}}</nowiki></code>: {{DGF|3|123}}
+
*<code><nowiki>{{DGF|123|3}}</nowiki></code>: {{DGF|123|3}}
*<code><nowiki>{{DGF|5|3|123}}</nowiki></code>: {{DGF|5|3|123}}
+
*<code><nowiki>{{DGF|123|5|3}}</nowiki></code>: {{DGF|123|5|3}}
  
 
[[Category:Templates]]</noinclude><includeonly>{{#vardefine:args|0}}{{#if:{{{3|}}}|{{#vardefine:args|3}}|{{#if:{{{2|}}}|{{#vardefine:args|2}}|{{#vardefine:args|1}}}}}}{{#switch:{{#var:args}}
 
[[Category:Templates]]</noinclude><includeonly>{{#vardefine:args|0}}{{#if:{{{3|}}}|{{#vardefine:args|3}}|{{#if:{{{2|}}}|{{#vardefine:args|2}}|{{#vardefine:args|1}}}}}}{{#switch:{{#var:args}}
 
|1=[[Generalized Fermat number 2 1 {{{1}}}|F({{{1}}})]]
 
|1=[[Generalized Fermat number 2 1 {{{1}}}|F({{{1}}})]]
|2=[[Generalized Fermat number {{{1}}} 1 {{{2}}}|GF({{{1}}},{{{2}}})]]
+
|2=[[Generalized Fermat number {{{2}}} 1 {{{1}}}|GF({{{2}}},{{{1}}})]]
|3=[[Generalized Fermat number {{{1}}} {{{2}}} {{{3}}}|xGF({{{1}}},{{{2}}},{{{3}}})]]}}</includeonly>
+
|3=[[Generalized Fermat number {{{2}}} {{{3}}} {{{1}}}|xGF({{{1}}},{{{2}}},{{{3}}})]]}}</includeonly>

Revision as of 08:36, 27 October 2020

Purpose

Displays a short form of a Generalized Fermat number of the form a2n + b2n (if b=1 : a2n + 1) with link to the page.

Usage

This template uses one to three unnamed parameters which are defined as follows:

{{DGF|<value>|<value>|<value>}}

Examples