TeX:
\mathop{\operatorname{arg\,max}}\limits_{x \in \mathbb{R}} \left[\sin\!\left(x\right)\right] = \left\{ \pi \left(2 n + \frac{1}{2}\right) : n \in \mathbb{Z} \right\}
Definitions:
Fungrim symbol | Notation | Short description |
---|---|---|
ArgMax | Locations of maximum value | |
Sin | Sine | |
RR | Real numbers | |
SetBuilder | Set comprehension | |
ConstPi | The constant pi (3.14...) | |
ZZ | Integers |
Source code for this entry:
Entry(ID("c5bdcc"), Formula(Equal(ArgMax(Brackets(Sin(x)), x, Element(x, RR)), SetBuilder(Mul(ConstPi, Add(Mul(2, n), Div(1, 2))), n, Element(n, ZZ)))))