Question: Determination of the algebraic sign

Hi all,

sorry for my cryptic previous posting. Here is my question again:

I am searching for an easy way to determine the sign of a function

m(a) = 1/4*(-2*g+ln(1-l+a)*g-(g*ln(1-l+a)*(ln(1-l+a)*g-4*g+8*d*a-8*y))^(1/2))/g .

More specifically, I want to find out whether m(a) can assume a positive value given that

(1+l-a) lies between 0 and 1 and all parameters (g,d,l,y) are nonnegative (I have plotted the function; the plot exhibits that the fct does not assume a value greater than or equal to 0. However, I want to have an algebraic solution).

Likewise, I would like to verify the sign of

1/4*(g/(1-l+a)+1/2*(g*(ln(1-l+a)*g-4*g+8*d*a-8*y)/(1-l+a)+g*ln(1-l+a)*(g/(1-l+a)+8*d))/sqrt(g*ln(1-l+a)*(ln(1-l+a)*g-4*g+8*d*a-8*y)))/g

given the above constraints.

Suggestions on how to deal with this problem are highly appreciated.

Thanks in advance

econ

Please Wait...