25 Reputation

6 years, 289 days

@vv Thank you so much for your time...

@vv Thank you so much for your time,

that is exaclty what I expected and thanks to you I know how to solve it with Maple.

Just when I type your code inside my Maple 15 I get the following error

"Error, (in RegularChains:-SemiAlgebraicSetTools:-CylindricalAlgebraicDecompose) error in TRDisolate_real_zeros in multivariate case"

Thank you again

WoW perfect !

@_Maxim_ Sincerely thank you.You al...

Sincerely thank you.

You also give me some clues about what to do in such situation.

-If I get it well in this situation, you take the numerator of the first derivative which, according to specific values of parameters, will help us to determine wether there is a maximum or not.

-To do so you determine the RootOf the expression and you determine a critical value of alpha where the transition happens.

I didn't get all of the command you wrote but I will try to undestand

Thank you again

PS: The explore function doesn't work it returns "Error, invalid input: too many and/or wrong type of arguments passed to Explore; first unused argument is b = .1 .. .99"

yes we also have 5 roots sorry for my mistake.

The problem is

-First: if I put the same numerical values as above into these roots I don't find the same results (it comes with Imaginary Numbers).

For instance for the third root, it gives:

0.01159017153 (820.0133-3168.172220 I sqrt(3))^(1/3)+(3.632452480)/((820.0133-3168.172220 I sqrt(3))^(1/3))+0.6560037088+1/2 I sqrt(3) (-0.02318034307 (820.0133-3168.172220 I sqrt(3))^(1/3)+(7.264904960)/((820.0133-3168.172220 I sqrt(3))^(1/3)))

Approximate gives me the following result

-Second:Is it possible when the root is huge to reduce it ? (simplify command is not enough)

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