Prof. Hoang Tuy and Tuy’S Cut Operator

TUY’S CUT OPERATOR The Domain-Cutting Operator of the Search Space O.i Hub — Operator Intelligence Library Prof. Hoang Tuy 1. INTRODUCTION In modern mathematical history, one of the key breakthroughs in optimization theory was the emergence of global optimization . This field addresses a fundamental problem: how to reliably find the optimal solution in spaces containing many local extrema. The foundation of this approach was established by Hoàng Tụy , a Vietnamese mathematician whose work has had significant influence in international optimization theory. His most famous contribution is the Tuy’s Cut method, a geometric mechanism that systematically removes regions of the search space that cannot contain the global optimum. Within the framework of Operator Intelligence (O.i) , this idea can be elevated from a classical optimization method into a state-space operator that eliminates inval