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Nov 7, 2024 at 12:24 comment added user64494 NIntegrate[ Boole[(-a^2 + 2 a c + a^2 c - c^2 - c^3)/(a c - c^2 - c^3) > v > 1/Root[a^2 - a c - a^2 c + 2 a c^2 - c^3 + (-a^2 + a^3 + a c + 3 a^2 c - a^3 c - 5 a c^2 + 2 c^3) #1 + (2 a^3 - 5 a^2 c - a^3 c + 4 a c^2 + 2 a^2 c^2 - c^3 - a c^3) #1^2 + (-a^3 + 2 a^2 c + a^3 c - a c^2 - 2 a^2 c^2 + a c^3) #1^3 &, 3] && 1 > c > a > 0 && a >= 0], {a, 0, 1}, {c, 0, 1}, {v, 0, 1}, AccuracyGoal -> 6, PrecisionGoal -> 6, Method -> "LocalAdaptive"] results in 0.0662847, confirming the set under cosideration is a solid.
Nov 6, 2024 at 23:46 history edited azerbajdzan
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Nov 6, 2024 at 23:28 answer added azerbajdzan timeline score: 7
Nov 5, 2024 at 22:40 history became hot network question
Nov 5, 2024 at 15:35 vote accept C. K
Nov 5, 2024 at 15:22 answer added user64494 timeline score: 3
Nov 5, 2024 at 15:08 comment added C. K @Syed Edited. Thank you for reminding!
Nov 5, 2024 at 15:07 history edited C. K CC BY-SA 4.0
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Nov 5, 2024 at 15:00 comment added Syed Please include Mathematica code for a minimal example that would replicate the plot shown in the OP. Thanks.
Nov 5, 2024 at 14:40 history asked C. K CC BY-SA 4.0