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Fungrim entry: da33ce

(x[0,)  and  y(0,))        RC ⁣(x,y)(0,)\left(x \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left(0, \infty\right)\right) \;\implies\; R_C\!\left(x, y\right) \in \left(0, \infty\right)
\left(x \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; y \in \left(0, \infty\right)\right) \;\implies\; R_C\!\left(x, y\right) \in \left(0, \infty\right)
Fungrim symbol Notation Short description
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Infinity\infty Positive infinity
OpenInterval(a,b)\left(a, b\right) Open interval
CarlsonRCRC ⁣(x,y)R_C\!\left(x, y\right) Degenerate Carlson symmetric elliptic integral of the first kind
Source code for this entry:
    Formula(Implies(And(Element(x, ClosedOpenInterval(0, Infinity)), Element(y, OpenInterval(0, Infinity))), Element(CarlsonRC(x, y), OpenInterval(0, Infinity)))),
    Variables(x, y))

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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