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Template:Nroot/doc/Mathematical examples
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< Template:Nroot | doc
The code (“partial multipliers” 1 are automatically blanked)
: {{math|[[Golden ratio|''{{Gr|phi}}'']] {{=|sp}} {{nroot|;; 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//|HTM}} |tex = \phi = {{nroot|;; 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//|TEX}} |&&}}
yields the display style HTML+CSS
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ϕ = √ 1 + √ 1 + √ 1 + √ 1 + √ 1 + √ 1 + √ 1 + √ ⋯
The code (“partial multipliers” 1 are automatically blanked)
: {{math|[[Golden ratio|''{{Gr|phi}}'']] {{=|sp}} {{nroot|;; 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//|HTM}} |tex = \phi = {{nroot|;; 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//1,, 1//|TEX}} |$$}}
yields the display style LaTeX
The code (“partial radicands” 0 are automatically blanked)
: {{math|''x''{{^|''e''{{op|-}}{{sp|-1}}1}} {{=|sp}} {{nroot|;; ''x''//0//,, ''x''//0//3,, ''x''//0//4,, ''x''//0//5,, ''x''//0//6,, ''x''//0//7,, ''x''//0//8,, ''x''// //9|HTM}} |tex = x^{e-1} = {{nroot|;; ''x''//0//,, ''x''//0//3,, ''x''//0//4,, ''x''//0//5,, ''x''//0//6,, ''x''//0//7,, ''x''//0//8,, ''x''// //9|TEX}} |&&}}
yields the display style HTML+CSS
x e − 1 = x √ x 3√ x 4√ x 5√ x 6√ x 7√ x 8√ x 9√ ⋯
The code (“partial radicands” 0 are automatically blanked)
: {{math|''x''{{^|''e''{{op|-}}{{sp|-1}}1}} {{=|sp}} {{nroot|;; ''x''//0//,, ''x''//0//3,, ''x''//0//4,, ''x''//0//5,, ''x''//0//6,, ''x''//0//7,, ''x''//0//8,, ''x''// //9|HTM}} |tex = x^{e-1} = {{nroot|;; ''x''//0//,, ''x''//0//3,, ''x''//0//4,, ''x''//0//5,, ''x''//0//6,, ''x''//0//7,, ''x''//0//8,, ''x''// //9|TEX}} |$$}}
yields the display style LaTeX
The code
: {{math|{{frac|2|{{Gr|pi}}|HTM}} {{=|sp}} <!-- -->{{nroot|;; 1//{{tfrac|1|2}}|HTM}} {{nroot|;; 1//{{tfrac|1|2}},, {{tfrac|1|2}}//{{tfrac|1|2}}|HTM}} {{nroot|;; 1//{{tfrac|1|2}},, {{tfrac|1|2}}//{{tfrac|1|2}},, {{tfrac|1|2}}//{{tfrac|1|2}}|HTM}} {{...|cdots}} |tex = \frac{2}{\pi} = <!-- -->{{nroot|;; 1//\tfrac{1}{2}|TEX}} \ {{nroot|;; 1//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2}|TEX}} \ {{nroot|;; 1//\tfrac{1}{2},, <!-- -->\tfrac{1}{2}//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2}|TEX}} \ \cdots |&&}}
yields the display style HTML+CSS
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Error: String exceeds 10,000 character limit.
The code
: {{math|{{frac|2|{{Gr|pi}}|HTM}} {{=|sp}} <!-- -->{{nroot|;; 1//{{tfrac|{{sp|1}}1{{sp|1}}|2}}|HTM}} {{nroot|;; 1//{{tfrac|{{sp|1}}1{{sp|1}}|2}},, {{tfrac|{{sp|1}}1{{sp|1}}|2}}{{sp|1}}//{{tfrac|{{sp|1}}1{{sp|1}}|2}}|HTM}}{{sp|3}} |tex = \frac{2}{\pi} = {{nroot|;; 1//\tfrac{1}{2}|TEX}} ~ {{nroot|;; 1//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2}|TEX}}|&&}}<!-- Broken in two parts to avoid the pesky 10,000 characters limit for template argument size. -->{{math|{{nroot|;; 1//{{tfrac|{{sp|1}}1{{sp|1}}|2}},, {{tfrac|{{sp|1}}1{{sp|1}}|2}}{{sp|1}}//{{tfrac|{{sp|1}}1{{sp|1}}|2}},, {{tfrac|{{sp|1}}1{{sp|1}}|2}}{{sp|1}}//{{tfrac|{{sp|1}}1{{sp|1}}|2}}|HTM}} {{sp|3}}{{...|cdots}} |tex = {{nroot|;; 1//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2}|TEX}} ~ \cdots|&&}}
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= √2 π
√1 2
+1 2
√1 2 1 2 √
+1 2
√1 2
+1 2
√1 2
⋯1 2
The code
: {{math|{{frac|2|{{Gr|pi}}|HTM}} {{=|sp}} <!-- -->{{nroot|;; 1//{{tfrac|1|2}}|HTM}} {{nroot|;; 1//{{tfrac|1|2}},, {{tfrac|1|2}}//{{tfrac|1|2}}|HTM}} {{nroot|;; 1//{{tfrac|1|2}},, {{tfrac|1|2}}//{{tfrac|1|2}},, {{tfrac|1|2}}//{{tfrac|1|2}}|HTM}} {{...|cdots}} |tex = \frac{2}{\pi} = <!-- -->{{nroot|;; 1//\tfrac{1}{2}|TEX}} \ {{nroot|;; 1//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2}|TEX}} \ {{nroot|;; 1//\tfrac{1}{2},, <!-- -->\tfrac{1}{2}//\tfrac{1}{2},, \tfrac{1}{2}//\tfrac{1}{2}|TEX}} \ \cdots |$$}}
yields the display style LaTeX