This site is supported by donations to The OEIS Foundation.
Template:Kronecker/doc
From OeisWiki
The {{Kronecker}} (or {{Kron}}) mathematical formatting template gives an HTML+CSS or a LaTeX formatted Kronecker symbol.
Usage
-
{{Kron|nonzero integer|modulo}}
or
-
{{Kron|nonzero integer|modulo|format}}
where format is taken from
-
htm
: text style HTML+CSS Kronecker symbol (default); -
HTM
: display style HTML+CSS Kronecker symbol; -
tex
: text style LaTeX Kronecker symbol; -
TEX
: display style LaTeX Kronecker symbol;
Examples
The code (see Kronecker symbol)
The '''Kronecker symbol''' {{math|{{Kron|''a''{{sp|1}}|''n''{{sp|1}}}}|tex = {{Kron|a|n|tex}}|&}} is defined as{{nl|1.35}} : {{math|{{Kron|{{sp|1}}''a''{{sp|1}}|{{sp|1}}''n''{{sp|1}}|HTM}} {{sp}}{{rel|def}}{{sp}} {{Kron|{{sp|1}}''a''{{sp|1}}|{{sp|1}}''u''{{sp|1}}|HTM}} <!-- -->{{sp|1}}{{prod|''i''{{=}}1|''{{Gr|omega}}''{{sp|1}}(''n'')|HTM}} {{Kron|''a''|{{sp|2}}''p{{sub|i}}''{{sp|1}}|HTM}}{{^|{{^|{{^|''e''{{sub|''i''}}|100%}}|100%}}}}, |tex = {{Kron|a|n|TEX}} := {{Kron|a|u|TEX}} \prod_{i=1}^{\omega(n)} {{Kron|a|p_i|TEX}}^{e_i},|&&}}
yields the HTM+CSS
The Kronecker symbol(a | n ) |
-
:=a n a u ω (n)∏ i = 1
ei,a pi
The code
The '''Kronecker symbol''' {{math|{{Kron|''a''{{sp|1}}|''n''{{sp|1}}}}|tex = {{Kron|a|n|tex}}|$}} is defined as{{nl|1.35}} : {{math|{{Kron|{{sp|1}}''a''{{sp|1}}|{{sp|1}}''n''{{sp|1}}|HTM}} {{sp}}{{rel|def}}{{sp}} {{Kron|{{sp|1}}''a''{{sp|1}}|{{sp|1}}''u''{{sp|1}}|HTM}} <!-- -->{{sp|1}}{{prod|''i''{{=}}1|''{{Gr|omega}}''{{sp|1}}(''n'')|HTM}} {{Kron|''a''|{{sp|2}}''p{{sub|i}}''{{sp|1}}|HTM}}{{^|{{^|{{^|''e''{{sub|''i''}}|100%}}|100%}}}}, |tex = {{Kron|a|n|TEX}} := {{Kron|a|u|TEX}} \prod_{i=1}^{\omega(n)} {{Kron|a|p_i|TEX}}^{e_i},|$$}}
yields the LaTeX
The Kronecker symbol is defined as