<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...

the present work reports the detailed b3lyp/6-311++g(d,p) study of most stable transand cisconfigurations photoisomerization in the core system of computational photochemistry-the 5,5'-disubstituted-1,1'-azobis (tetrazole) molecules. all computations were carried out in gas phase attemperature 293.15 k and pressure 1 atm. firstly; the potential energy surface (pes) of the groundstate ...

This report documents the program and the outcomes of Dagstuhl Seminar 13161 “Interface of Computation, Game Theory, and Economics”. The workshop was strongly interdisciplinary, on the leading edge of current topics generally connected to algorithmic game theory: Mechanism design and auctions, interactions in networks, social models, and dynamics and equilibrium in games and markets. We summari...

We propose a formal definition for (valid) speculative computations, which is independent of any implementation technique. By speculative computations we mean optimization mechanisms that rely on relaxing the flow of execution in a given program, and on guessing the values read from pointers in the memory. Our framework for formalizing these computations is the standard operational one that is ...

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.

Finite and Infinite Sets. Countability. Proof Techniques (Chapter 1, Sections 1.4, 1.5) Finite sets finite number of elements can be counted Infinite sets infinite number of elements Equinumerous sets: Sets A and B are equinumerous if there is a bijection f : A → B E.G.: A = {1,2,3}, B = {a,b,c} Countably infinite sets: A set is countably infinite if it is equinumerous with N (the set of natura...