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Questions about handling with inequalities with, e.g., Reduce, Solve, FindInstance etc., their application in defining Regions, and ways to incorporate them into other computations, e.g. integration.
4
votes
1
answer
857
views
Way to simplify an inequality with many variables
my problem is the following:
I have three inequalities in five variables $x,u,a,b,c\in \mathbb{R},x>0 $:
a/x >= +c + (1/(x))*Sqrt[a^2*(u^2 + 1) - 2*a*(b*u + c)*x + (b^2 + c^2)*x^2]
2*(u*b + c)/(u^2 …
3
votes
0
answers
104
views
Solve a system of many inequalities with varying coefficients [closed]
I have to solve the following problem concerning a system of inequalities:
Distinguish two groups of real variables: the first composed by the following 15 real variables
Cx, Ox, alpha, Bx,By, Dx,Dy, … Cx)/Dy) cy + Cx,
Dy < dy < 0,
(Dx/Dy) dy < dx < dy/alpha + Ox
For each possible 13-nple of values that the variables in the first group can assume, consider the following system of equalities and inequalities …