This discourse provides a deeper epistemological rational for the novel discipline of “Trioinformatics” through the use of “Trioengineering”. Trioengineering uses of the novel mathematical “Ambitation” or “Neuromathematical Neuroengineering Notation”. This specialized operation that is the Trioinformatics article appeared in the March–May imanager’s Journal on Circuits and Systems. Trioengineering use of the neuromathematics “Ambitation” is the holistic, collaborative, and comprehensive expression of Trioinformatics as a sequential sequence of inquiry into a precise research analysis methodology. Neuroengineering is an innovative way of explaining the transition from trichotomous logic (Osler, 2015) into trichotomous Triple–I (Osler, 2013d) research questions and associated instrumentation [first introduced in the i-manager’s Journal on Mathematics as a part of the Tri–Squared Test (Osler, 2012a)].Trioinformatics is an in–depth way of symbolically illustrating the law of trichotomy and a mathematically–grounded rational technique for explaining the ternary nature of electronic circuitry (Osler, 2015). The use of the Trioinformatics also adds value to investigative inquiry through the efficacy of digital instruments and tools via eduscientifically–engineered (Osler, 2013a) research designs (Osler, 2015).