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# Fungrim entry: 9c9173

$\left(x \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; z \in \left[0, \infty\right)\right) \;\implies\; R_G\!\left(x, y, z\right) \in \left[0, \infty\right)$
TeX:
\left(x \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; z \in \left[0, \infty\right)\right) \;\implies\; R_G\!\left(x, y, z\right) \in \left[0, \infty\right)
Definitions:
Fungrim symbol Notation Short description
ClosedOpenInterval$\left[a, b\right)$ Closed-open interval
Infinity$\infty$ Positive infinity
CarlsonRG$R_G\!\left(x, y, z\right)$ Carlson symmetric elliptic integral of the second kind
Source code for this entry:
Entry(ID("9c9173"),
Formula(Implies(And(Element(x, ClosedOpenInterval(0, Infinity)), Element(y, ClosedOpenInterval(0, Infinity)), Element(z, ClosedOpenInterval(0, Infinity))), Element(CarlsonRG(x, y, z), ClosedOpenInterval(0, Infinity)))),
Variables(x, y, z))

## Topics using this entry

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