Mathematics, Optimization, Data Science, Machine Learning, Duality.
seems to defy the laws of mathematics, the reason I am allowed to this is due to the weak duality theorem: We know that cᵀx* > d* is impossible to happen, since that would imply cᵀx* > bᵀy* . However, weak duality theorem dictates that cᵀx ≤ bᵀy for any x and y. Therefore, writing cᵀx* ≥ d* is