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Blank syntax
{{ Infobox mathematical function
| name =
| image = | imagesize = <!--(default 220px)--> | imagealt =
| parity = | domain = | codomain = | range = | period =
| zero = | plusinf = | minusinf = | max = | min =
| vr1 = | f1 = | vr2 = | f2 = | vr3 = | f3 = | vr4 = | f4 = | vr5 = | f5 =
| asymptote = | root = | critical = | inflection = | fixed =
| notes =
}}
Parameters
Pairs VR1-f1, f1-VR2, etc. are used for labeling specific value functions. Suppose a function at the point e has a value of 2e and that this point is because of something specific. In this case you should put that as VR1 = eand f1 = 2e. For the next point is used a couple of VR2-f2, etc. If you run out of points (five currently available), ask for more.
Variables heading1, heading2, heading3 define whether some of the headlines basic properties, specific values, etc. be displayed. If you do not want a title to be displayed, simply delete the variable from the template. Set the value of the variable to 0 or anything will not prevent the display title.
Variables plusinf and minusinf indicate the value function at + ∞ and - ∞.
root is the x-intercept, critical is the critical point(s), inflection is inflection point(s)
fixed is
fixed point (s)
Example
The code below produces the box opposite:
Sine
General definition
sin
(
α
)
=
opposite
hypotenuse
{\displaystyle \sin(\alpha )={\frac {\textrm {opposite}}{\textrm {hypotenuse}}}}
Motivation of invention
Indian astronomy Date of solution
Gupta period Fields of application
Trigonometry ,
Integral transform , etc.
Domain (−∞ , +∞ ) a
Image [−1, 1] a
Parity odd
Period 2π
At zero 0 Maxima (2k π + π / 2 , 1)b Minima (2k π − π / 2 , −1)
Root k π
Critical point k π + π / 2
Inflection point k π
Fixed point 0
Reciprocal
Cosecant
Inverse
Arcsine
Derivative
f
′
(
x
)
=
cos
(
x
)
{\displaystyle f'(x)=\cos(x)}
Antiderivative
∫
f
(
x
)
d
x
=
−
cos
(
x
)
+
C
{\displaystyle \int f(x)\,dx=-\cos(x)+C}
Other Related cos, tan, csc, sec, cot
Taylor series
x
−
x
3
3
!
+
x
5
5
!
−
x
7
7
!
+
⋯
=
∑
n
=
0
∞
(
−
1
)
n
(
2
n
+
1
)
!
x
2
n
+
1
{\displaystyle {\begin{aligned}x-{\frac {x^{3}}{3!}}+{\frac {x^{5}}{5!}}-{\frac {x^{7}}{7!}}+\cdots \\[8pt]&=\sum _{n=0}^{\infty }{\frac {(-1)^{n}}{(2n+1)!}}x^{2n+1}\\[8pt]\end{aligned}}}
Generalized continued fraction
x
1
+
x
2
2
⋅
3
−
x
2
+
2
⋅
3
x
2
4
⋅
5
−
x
2
+
4
⋅
5
x
2
6
⋅
7
−
x
2
+
⋱
.
{\displaystyle {\cfrac {x}{1+{\cfrac {x^{2}}{2\cdot 3-x^{2}+{\cfrac {2\cdot 3x^{2}}{4\cdot 5-x^{2}+{\cfrac {4\cdot 5x^{2}}{6\cdot 7-x^{2}+\ddots }}}}}}}}.}
{{ Infobox mathematical function
| name = Sine
| image = Sinus.svg
| parity = odd | domain = (-∞,∞) | range = [-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
| notes = Variable k is an [[ integer ]] .
}}
Tracking category
See also
Math templates
Functions
Numeral systems
mvar individual italicized maths variables in normal text
overline
underline a line set above/below a sequence of characters
overarc an arc set above a sequence of characters
overset
underset arbitrary characters/diacritics set above/below one another
pars parentheses that can be resized ( ∑ )
sfrac "standing" or upright fractions 3 / 5 (use in maths/science articles instead of{{
fraction }}
)
sub
sup
su subscripts and superscripts
tmath Wrap
TeX in <math> tags
tombstone symbol indicating the
end of a proof
val measurement values, uncertainties and units
vec various overarrows, underarrows, etc.