Template:Infobox mathematical function/doc: Difference between revisions

Revision as of 09:42, 22 February 2021

Revision as of 02:55, 12 May 2022

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{{Lua|Module:Infobox|Module:InfoboxImage|Module:Check for unknown parameters}}

{{Generic template demo |_display=italics |name |image={{{image}}} |parity |___domain |codomain |range |period |zero |plusinf |minusinf |max |min |vr1 |f1 |vr2 |f2 |vr3=[...] |f3=[...] |vr5 |f5 |asymptote |root |critical |inflection |fixed |notes}}

== Blank syntax ==

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| image= |imagesize= <!--(default 220px)--> |imagealt=

| parity= |___domain= |codomain= |range= |period=

| zero= |plusinf= |minusinf= |max= |min=

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|general_definition = <math>\sin(\alpha) = \frac {\textrm{opposite}} {\textrm{hypotenuse}}</math>

| parity=odd |___domain=(−{{lower|0.2em|{{resize|130%|∞}}}}, +{{lower|0.2em|{{resize|130%|∞}}}})&thinsp;{{smallsup|a}} |codomainrange=[−1, 1]&thinsp;{{smallsup|a}} |period=2{{pi}}

| zero=0 |plusinf= |minusinf=

|max=(2''k''{{pi}} + {{sfrac|{{pi}}|2}}, 1){{smallsup|b}} |min=(2''k''{{pi}} − {{sfrac|{{pi}}|2}}, −1)

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|___domain={{math|<math>\mathbb{C}</math> - ℤ^0-}}

|codomainrange=<math>\mathbb{C}</math> -\setminus \{0\} </math>

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| name = Sine

| image = Sinus.svg

| parity=odd |___domain=(-∞,∞) |codomainrange=[-1,1] |period=2π

| zero=0 |plusinf= |minusinf= |max=((2k+½)π,1) |min=((2k-½)π,-1)

| asymptote= |root=kπ |critical=kπ-π/2 |inflection=kπ |fixed=0