Max–min inequality
In mathematics, the max–min inequality is as follows: for any function formula_1, When equality holds one says that "f", "W" and "Z" satisfies a strong max–min property (or a saddle-point property). As the function "f"("z","w")=sin("z"+"w") illustrates, this equality does not always hold. A theorem giving conditions on "f", "W" and "Z" in order to guarantee the saddle point property is called a minimax theorem. Proof. Define formula_3. formula_4 formula_5 formula_6 formula_7