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Difference between revisions of "Template:Kbn"

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m
(supports string-parameters)
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Also possible:
 
Also possible:
 
*<code><nowiki>{{Kbn|2<sup>n</sup>}}</nowiki></code>: {{Kbn|2<sup>n</sup>}}
 
*<code><nowiki>{{Kbn|2<sup>n</sup>}}</nowiki></code>: {{Kbn|2<sup>n</sup>}}
*<code><nowiki>{{Kbn|+|2<sup>11</sup>}}</nowiki></code>: {{Kbn|+|2<sup>11</sup>}}
+
*<code><nowiki>{{Kbn|k|b|n}}</nowiki></code>: {{Kbn|k|b|n}}
 +
*<code><nowiki>{{Kbn|+|k|b|n}}</nowiki></code>: {{Kbn|+|k|b|n}}
 +
*<code><nowiki>{{Kbn|1|b|n}}</nowiki></code>: {{Kbn|1|b|n}}
 +
*<code><nowiki>{{Kbn|+|(b-1)|b|n}}</nowiki></code>: {{Kbn|+|(b-1)|b|n}}
  
 
[[Category:Templates]]</noinclude><includeonly>{{#vardefine:args|0}}{{#if:{{{4|}}}|{{#vardefine:args|4}}|{{#if:{{{3|}}}|{{#vardefine:args|3}}|{{#if:{{{2|}}}|{{#vardefine:args|2}}|{{#vardefine:args|1}}}}}}}}{{#switch:{{#var:args}}
 
[[Category:Templates]]</noinclude><includeonly>{{#vardefine:args|0}}{{#if:{{{4|}}}|{{#vardefine:args|4}}|{{#if:{{{3|}}}|{{#vardefine:args|3}}|{{#if:{{{2|}}}|{{#vardefine:args|2}}|{{#vardefine:args|1}}}}}}}}{{#switch:{{#var:args}}
 
|1=2<sup>{{{1}}}</sup>-1
 
|1=2<sup>{{{1}}}</sup>-1
 
|2={{#ifeq:{{{1}}}|+|2<sup>{{{2}}}</sup>+1|{{{1}}} &times; 2<sup>{{{2}}}</sup>-1}}
 
|2={{#ifeq:{{{1}}}|+|2<sup>{{{2}}}</sup>+1|{{{1}}} &times; 2<sup>{{{2}}}</sup>-1}}
|3={{#ifeq:{{{1}}}|+|{{{2}}} &times; 2<sup>{{{3}}}</sup>+1|{{#ifexpr:{{{1}}}>1|{{{1}}} &times;&nbsp;}}{{{2}}}<sup>{{{3}}}</sup>-1}}
+
|3={{#ifeq:{{{1}}}|+|{{{2}}} &times; 2<sup>{{{3}}}</sup>+1|{{#ifeq:{{{1}}}|1||{{{1}}} &times;&nbsp;}}{{{2}}}<sup>{{{3}}}</sup>-1}}
|4={{#ifexpr:{{{2}}}>1|{{{2}}} &times;&nbsp;}}{{{3}}}<sup>{{{4}}}</sup>+1}}</includeonly>
+
|4={{#ifeq:{{{2}}}|1||{{{2}}} &times;&nbsp;}}{{{3}}}<sup>{{{4}}}</sup>+1}}</includeonly>

Revision as of 10:55, 12 March 2019

Purpose

Display numbers of the form k × bn±1 in text-mode.

Usage

This templates uses one to four unnamed parameters which are defined as follows:

  • Only if the first parameter is +, the '+'-value is displayed, otherwise the '-'-value of the number.

Three more parameters cotaining numbers can be given and used as follows:

  • one parameter: the n-value is given and displays as 2n±1
  • two parameters: the k- and n-values are given and display as k × 2n±1
  • three parameters: the k-, b, and n-values are given and display as k × bn±1

Examples

  • 1 parameter: {{Kbn|123}}: 2123-1
  • 2 parameters: {{Kbn|3|123}}: 3•2123-1
  • 3 parameters: {{Kbn|3|5|123}}: 3•5123-1

With '+'-sign:

  • {{Kbn|+|123}}: 2123+1
  • {{Kbn|+|13|123}}: 13•2123+1
  • {{Kbn|+|3|5|123}}: 3•5123+1

Others:

  • To display only 10123+1, set the k-value to '1': {{Kbn|+|1|10|123}} (or {{Kbn|1|10|123}} to get 10123-1).

Also possible:

  • {{Kbn|2<sup>n</sup>}}: 22n-1
  • {{Kbn|k|b|n}}: kbn-1
  • {{Kbn|+|k|b|n}}: kbn+1
  • {{Kbn|1|b|n}}: bn-1
  • {{Kbn|+|(b-1)|b|n}}: (b-1)bn+1