Fungrim entry: 95c04c

\mathop{\operatorname{arg\,min*}}\limits_{x \in \left(0, \infty\right]} \operatorname{sinc}(x) = 4.49340945790906417530788092728 \;\, {\scriptstyle (\text{nearest } 30 \text{ digits})}

TeX:

\mathop{\operatorname{arg\,min*}}\limits_{x \in \left(0, \infty\right]} \operatorname{sinc}(x) = 4.49340945790906417530788092728 \;\, {\scriptstyle (\text{nearest } 30 \text{ digits})}

Definitions:

Fungrim symbol	Notation	Short description
`ArgMinUnique`	$\mathop{\operatorname{arg\,min*}}\limits_{x \in S} f(x)$	Unique location of minimum value
`Sinc`	$\operatorname{sinc}(z)$	Sinc function
`OpenClosedInterval`	$\left(a, b\right]$	Open-closed interval
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("95c04c"),
    Formula(EqualNearestDecimal(ArgMinUnique(Sinc(x), ForElement(x, OpenClosedInterval(0, Infinity))), Decimal("4.49340945790906417530788092728"), 30)))

Topics using this entry

Sinc function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC