Fungrim entry: 2f6818

\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \left[\sin\!\left(z\right)\right] = \left\{ \pi n : n \in \mathbb{Z} \right\}

TeX:

\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \left[\sin\!\left(z\right)\right] = \left\{ \pi n : n \in \mathbb{Z} \right\}

Definitions:

Fungrim symbol	Notation	Short description
`Sin`	$\sin\!\left(z\right)$	Sine
`CC`	$\mathbb{C}$	Complex numbers
`SetBuilder`	$\left\{ f\!\left(x\right) : P\!\left(x\right) \right\}$	Set comprehension
`ConstPi`	$\pi$	The constant pi (3.14...)
`ZZ`	$\mathbb{Z}$	Integers

Source code for this entry:

Entry(ID("2f6818"),
    Formula(Equal(Zeros(Brackets(Sin(z)), z, Element(z, CC)), SetBuilder(Mul(ConstPi, n), n, Element(n, ZZ)))))

Topics using this entry

2019-06-18 07:49:59.356594 UTC