| 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:Kbn"
(using templ. VarNum) |
(± added) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
<noinclude> | <noinclude> | ||
==Purpose== | ==Purpose== | ||
| − | Display numbers of the form | + | Display numbers of the form {{Vk}}•{{Vb}}<sup>{{Vn}}</sup>±1 in text-mode. |
==Usage== | ==Usage== | ||
| − | This | + | This template uses one to four unnamed parameters which are defined as follows: |
| − | *Only if the first parameter is {{Key|+}}, the '+'-value is displayed, otherwise the '-'-value of the number. | + | *Only if the first parameter is {{Key|+}} or {{Key|±}}, the '+'/'±'-value is displayed, otherwise the '-'-value of the number. |
Three more parameters containing numbers/variables can be given and used as follows: | Three more parameters containing numbers/variables can be given and used as follows: | ||
| − | *one parameter: the | + | *one parameter: the {{Vn}}-value is given and displays as 2<sup>{{Vn}}</sup>±1 |
| − | *two parameters: the | + | *two parameters: the {{Vk}}- and {{Vn}}-value are given and display as {{Vk}}•2<sup>{{Vn}}</sup>±1 |
| − | *three parameters: the | + | *three parameters: the {{Vk}}-, {{Vb}}- and {{Vn}}-value are given and display as {{Vk}}•{{Vb}}<sup>{{Vn}}</sup>±1 |
==Examples== | ==Examples== | ||
| Line 20: | Line 20: | ||
*<code><nowiki>{{Kbn|+|13|123}}</nowiki></code>: {{Kbn|+|13|123}} | *<code><nowiki>{{Kbn|+|13|123}}</nowiki></code>: {{Kbn|+|13|123}} | ||
*<code><nowiki>{{Kbn|+|3|5|123}}</nowiki></code>: {{Kbn|+|3|5|123}} | *<code><nowiki>{{Kbn|+|3|5|123}}</nowiki></code>: {{Kbn|+|3|5|123}} | ||
| + | With '±'-sign: | ||
| + | *<code><nowiki>{{Kbn|±|123}}</nowiki></code>: {{Kbn|±|123}} | ||
| + | *<code><nowiki>{{Kbn|±|13|123}}</nowiki></code>: {{Kbn|±|13|123}} | ||
| + | *<code><nowiki>{{Kbn|±|3|5|123}}</nowiki></code>: {{Kbn|±|3|5|123}} | ||
Others: | Others: | ||
| − | *To display only {{Kbn|+|1|10|123}}, set the | + | *To display only {{Kbn|+|1|10|123}}, set the {{Vk}}-value to '1': <code><nowiki>{{Kbn|+|1|10|123}}</nowiki></code> (or <code><nowiki>{{Kbn|1|10|123}}</nowiki></code> to get {{Kbn|1|10|123}}). |
Also possible: | Also possible: | ||
| − | *<code><nowiki>{{Kbn|2<sup> | + | *<code><nowiki>{{Kbn|2<sup>{{Vn}}</sup>}}</nowiki></code>: {{Kbn|2<sup>{{Vn}}</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|+|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|1|b|n}}</nowiki></code>: {{Kbn|1|b|n}} | ||
*<code><nowiki>{{Kbn|+|(b-1)|b|n}}</nowiki></code>: {{Kbn|+|(b-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>{{VarNum|{{{1}}}}}</sup>-1 | |1=2<sup>{{VarNum|{{{1}}}}}</sup>-1 | ||
| − | |2={{#ifeq:{{{1}}}|+|2<sup>{{VarNum|{{{2}}}}}</sup>+1|{{VarNum|{{{1}}}}}•2<sup>{{VarNum|{{{2}}}}}</sup>-1}} | + | |2={{#ifeq:{{{1}}}|+|2<sup>{{VarNum|{{{2}}}}}</sup>+1|{{#ifeq:{{{1}}}|±|2<sup>{{VarNum|{{{2}}}}}</sup>±1|{{VarNum|{{{1}}}}}•2<sup>{{VarNum|{{{2}}}}}</sup>-1}}}} |
| − | |3={{#ifeq:{{{1}}}|+|{{VarNum|{{{2}}}}}•2<sup>{{VarNum|{{{3}}}}}</sup>+1|{{#ifeq:{{{1}}}|1||{{VarNum|{{{1}}}}}•}}{{VarNum|{{{2}}}}}<sup>{{VarNum|{{{3}}}}}</sup>-1}} | + | |3={{#ifeq:{{{1}}}|+|{{VarNum|{{{2}}}}}•2<sup>{{VarNum|{{{3}}}}}</sup>+1|{{#ifeq:{{{1}}}|±|{{VarNum|{{{2}}}}}•2<sup>{{VarNum|{{{3}}}}}</sup>±1|{{#ifeq:{{{1}}}|1||{{VarNum|{{{1}}}}}•}}{{VarNum|{{{2}}}}}<sup>{{VarNum|{{{3}}}}}</sup>-1}}}} |
| − | |4={{#ifeq:{{{2}}}|1||{{VarNum|{{{2}}}}}•}}{{VarNum|{{{3}}}}}<sup>{{VarNum|{{{4}}}}}</sup> | + | |4={{#ifeq:{{{2}}}|1||{{VarNum|{{{2}}}}}•}}{{VarNum|{{{3}}}}}<sup>{{VarNum|{{{4}}}}}</sup>{{{1}}}1}}</includeonly> |
Latest revision as of 07:27, 28 September 2020
Purpose
Display numbers of the form k•bn±1 in text-mode.
Usage
This template uses one to four unnamed parameters which are defined as follows:
- Only if the first parameter is + or ±, the '+'/'±'-value is displayed, otherwise the '-'-value of the number.
Three more parameters containing numbers/variables 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-value are given and display as k•2n±1
- three parameters: the k-, b- and n-value are given and display as k•bn±1
Examples
- one parameter:
{{Kbn|123}}: 2123-1 - two parameters:
{{Kbn|3|123}}: 3•2123-1 - three 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
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>{{Vn}}</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
