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Difference between revisions of "Template:Kbn"
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(using templ. VarNum) |
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==Purpose== | ==Purpose== | ||
| − | Display numbers of the form k | + | Display numbers of the form <var>k</var>•<var>b</var><sup><var>n</var></sup>±1 in text-mode. |
==Usage== | ==Usage== | ||
This templates uses one to four unnamed parameters which are defined as follows: | This templates 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|+}}, the '+'-value is displayed, otherwise the '-'-value of the number. | ||
| − | Three more parameters | + | Three more parameters containing numbers/variables can be given and used as follows: |
| − | *one parameter: the n-value is given and displays as 2<sup>n</sup>±1 | + | *one parameter: the <var>n</var>-value is given and displays as 2<sup><var>n</var></sup>±1 |
| − | *two parameters: the k- and n- | + | *two parameters: the <var>k</var>- and <var>n</var>-value are given and display as <var>k</var>•2<sup><var>n</var></sup>±1 |
| − | *three parameters: the k-, b, and n- | + | *three parameters: the <var>k</var>-, <var>b</var>, and <var>n</var>-value are given and display as <var>k</var>•<var>b</var><sup><var>n</var></sup>±1 |
==Examples== | ==Examples== | ||
| − | * | + | *one parameter: <code><nowiki>{{Kbn|123}}</nowiki></code>: {{Kbn|123}} |
| − | * | + | *two parameters: <code><nowiki>{{Kbn|3|123}}</nowiki></code>: {{Kbn|3|123}} |
| − | * | + | *three parameters: <code><nowiki>{{Kbn|3|5|123}}</nowiki></code>: {{Kbn|3|5|123}} |
With '+'-sign: | With '+'-sign: | ||
| Line 22: | Line 22: | ||
Others: | Others: | ||
| − | *To display only {{Kbn|+|1|10|123}}, set the k-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}}). | + | *To display only {{Kbn|+|1|10|123}}, set the <var>k</var>-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: | ||
| Line 32: | Line 32: | ||
[[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>{{VarNum|{{{1}}}}}</sup>-1 |
| − | |2={{#ifeq:{{{1}}}|+|2<sup>{{{2}}}</sup>+1|{{{1}}}•2<sup>{{{2}}}</sup>-1}} | + | |2={{#ifeq:{{{1}}}|+|2<sup>{{VarNum|{{{2}}}}}</sup>+1|{{VarNum|{{{1}}}}}•2<sup>{{VarNum|{{{2}}}}}</sup>-1}} |
| − | |3={{#ifeq:{{{1}}}|+|{{{2}}}•2<sup>{{{3}}}</sup>+1|{{#ifeq:{{{1}}}|1||{{{1}}}•}}{{{2}}}<sup>{{{3}}}</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}} |
| − | |4={{#ifeq:{{{2}}}|1||{{{2}}}•}}{{{3}}}<sup>{{{4}}}</sup>+1}}</includeonly> | + | |4={{#ifeq:{{{2}}}|1||{{VarNum|{{{2}}}}}•}}{{VarNum|{{{3}}}}}<sup>{{VarNum|{{{4}}}}}</sup>+1}}</includeonly> |
Revision as of 13:27, 6 September 2020
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 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
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
