Fungrim home page

Fungrim entry: 36ae10

RG ⁣(0,y,z)≥max⁡ ⁣(y,z)2R_G\!\left(0, y, z\right) \ge \frac{\sqrt{\max\!\left(y, z\right)}}{2}
Assumptions:y∈[0,∞)  and⁡  z∈[0,∞)y \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; z \in \left[0, \infty\right)
TeX:
R_G\!\left(0, y, z\right) \ge \frac{\sqrt{\max\!\left(y, z\right)}}{2}

y \in \left[0, \infty\right) \;\mathbin{\operatorname{and}}\; z \in \left[0, \infty\right)
Definitions:
Fungrim symbol Notation Short description
CarlsonRGRG ⁣(x,y,z)R_G\!\left(x, y, z\right) Carlson symmetric elliptic integral of the second kind
Sqrtz\sqrt{z} Principal square root
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("36ae10"),
    Formula(GreaterEqual(CarlsonRG(0, y, z), Div(Sqrt(Max(y, z)), 2))),
    Variables(y, z),
    Assumptions(And(Element(y, ClosedOpenInterval(0, Infinity)), Element(z, ClosedOpenInterval(0, Infinity)))))

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