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Difference between revisions of "Template:Kbn"
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[[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}}} | + | |2={{#ifeq:{{{1}}}|+|2<sup>{{{2}}}</sup>+1|{{{1}}}•2<sup>{{{2}}}</sup>-1}} |
| − | |3={{#ifeq:{{{1}}}|+|{{{2}}} | + | |3={{#ifeq:{{{1}}}|+|{{{2}}}•2<sup>{{{3}}}</sup>+1|{{#ifeq:{{{1}}}|1||{{{1}}}•}}{{{2}}}<sup>{{{3}}}</sup>-1}} |
| − | |4={{#ifeq:{{{2}}}|1||{{{2}}} | + | |4={{#ifeq:{{{2}}}|1||{{{2}}}•}}{{{3}}}<sup>{{{4}}}</sup>+1}}</includeonly> |
Revision as of 13:49, 29 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}}: k•bn-1{{Kbn|+|k|b|n}}: k•bn+1{{Kbn|1|b|n}}: bn-1{{Kbn|+|(b-1)|b|n}}: (b-1)•bn+1
