Quantum hypercomputation is rarely discussed in the literature (See, e.g., Calude et al. 2003), but the most concrete attempt to harness quantum theory to compute the non-computable is the suggestion to use the quantum adiabatic algorithm (see below) to solve Hilbert's Tenth Problem (Kieu 2002, 2004)—a Turing-undecidable problem equivalent to the halting problem.
Section 2 presents a tight-binding coupled-dipole formalism which, for suitable EM designs, transforms a classical electrodynamic problem described by Maxwell's equations to an eigenvalue problem equivalent to an electronic tight-binding Hamiltonian of ordinary atomic solids.
As a consequence, the relay amplification factors on each subcarrier can be found by solving a convex problem equivalent to (49), which is obtained by simply considering the logarithm of the objective.
Therefore, we can get an optimization problem equivalent to problem (8) as follows: ( ρ ∗, p ∗ ) = arg max min ( R k ) (12).
The mean vector, bases, and the corresponding projections can be estimated by maximizing the data likelihood which is an optimization problem equivalent to minimizing (1).
In this article, a functional minimum problem equivalent to the p-Laplace equation is introduced, a finite element-Newton iteration formula is established, and a well-posed condition of iterative functions satisfied is provided.
In Section 2, a functional minimum problem equivalent to the p-Laplace equation is introduced, a finite element-Newton iteration formula is established, and the classical Newton algorithm is presented.
In Section 2, we present a basic result that lays the foundation for defining a fixed point problem equivalent to the given problem (1.1 - 1.2).
In Section 2, we establish a basic result that lays the foundation for defining a fixed point problem equivalent to the given problem (1.1 - 1.2 1.1 - 1.2
A suitable probabilistic problem equivalent to the finite difference analog of the partial differential equation, usually the random walk of a fictitious particle over the computational nodes, must be formulated.
