Timeline for Solving system of two equations
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Aug 25 at 1:14 | comment | added | A. Kato |
@KZ-Spectra Let F(𝜇) denote the LHS of mueq . Then F(𝜇) → 1/12 (6 e Pi + A Pi^3)^2 as 𝜇 → -Pi^2/6 and F(𝜇) → 12 A e Pi^2 as 𝜇 → -∞. So the intermediate value theorem assures you that there is a solution 𝜇 to F(𝜇)=0, if A e < 0 and 6 e Pi + A Pi^3 ≠ 0.
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Aug 24 at 19:43 | comment | added | KZ-Spectra | Just by testing different parameters, it seems they cannot share sign | |
Aug 24 at 19:14 | comment | added | KZ-Spectra | Is it possible to range $A$ and $e$ over a region and plot the corresponding pairs $(T,\mu)$ for solutions do exist? | |
Aug 24 at 15:27 | vote | accept | KZ-Spectra | ||
Aug 24 at 7:32 | history | answered | A. Kato | CC BY-SA 4.0 |