Fungrim entry: 1e6344

\mathop{\operatorname{arg\,min}}\limits_{x \in \mathbb{R}} \operatorname{sinc}(x) = \left\{-a, a\right\}\; \text{ where } a = j_{\frac{3}{2}, 1}

TeX:

\mathop{\operatorname{arg\,min}}\limits_{x \in \mathbb{R}} \operatorname{sinc}(x) = \left\{-a, a\right\}\; \text{ where } a = j_{\frac{3}{2}, 1}

Definitions:

Fungrim symbol	Notation	Short description
`ArgMin`	$\mathop{\operatorname{arg\,min}}\limits_{x \in S} f(x)$	Locations of minimum value
`Sinc`	$\operatorname{sinc}(z)$	Sinc function
`RR`	$\mathbb{R}$	Real numbers

Source code for this entry:

Entry(ID("1e6344"),
    Formula(Equal(ArgMin(Sinc(x), ForElement(x, RR)), Where(Set(Neg(a), a), Equal(a, BesselJZero(Div(3, 2), 1))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC