<p style='text-indent:20px;'>We propose the novel augmented Gaussian random field (AGRF), which is a universal framework incorporating data of observable and derivatives any order. Rigorous theory established. We prove that under certain conditions, its order are governed by single field, aforementioned AGRF. As corollary, statement "the derivative process remains process" validated, sinc...

Recently, from the deduction of result MIP* = RE in quantum computation, it was obtained that Quantum Field Theory (QFT) allows for different forms computation computers Mechanics (QM) does not allow. Thus, there must exist QFT representation Universe QM We explain a simple manner how by describing differences between and QM, obtain why future will require use QFT.

In this manuscript, density functional theory was used to explore structural, vibrational and optical properties of the (Sc2O3)n (n=1-5) cluster systems using DFT/B3LYP/LanL2DZ level of computation. Different stable isomers were obtained and numerous chemical parameters such as HOMO-LUMO gap, ionization potential and electron affinity were calculated successfully. Stability of the clusters was ...

These lecture notes contain all material relevant for the examinations and the course. For further reading, the author refers to the textbooks Automata Theory and its Applications by Bakhadyr Khoussainov and Anil Nerode [46] and Introduction to Automata Theory, Languages, and Computation by Hopcroft, Motwani and Ullman [35]. The author would like to thank Volker Diekert, Henning Fernau, Vladimi...

1-The study of the model of computation in which the state space consists of linear superpositions of classical configurations and the computational steps consist of applying local unitary operators and measurements as permitted by quantum mechanics. Quantum computation emerged in the 1980's when P. Benioff and R. Feynman realized that the apparent exponential complexity in simulating quantum p...