The first part of this book was an introduction to the basic activities of this national symposium, as well as identifications of Neutrosophic Scientific International Association (NSIA)/headquarter/ New Mexico University/ USA. Explain the activities of NSIA /Iraqi branch .An Iraqi branch of NSIA presents a suggestion for the international instructions in attempting to organize NSIA's work after its spreading and adopting the theory of Neutrosophic logic by many scientists around the world. At chapter two, the five pivots of the symposium were presented including the history of neutrosophic theory and its applications, the most important books and papers in the advancement of neutrosophics, the biographical note for Prof. Florentin Smarandache this was in Arabic language, at the end of this chapter an important paper entitled " The Concept of Neutrosophic Less Than or Equal: a New Insights in Unconstrained Geometric Programming" that was published by the authors of this book at 2016 in Creighton University, Center for