WANG Hong-fu, ZHANG Shou, ZHAO Yong-fang, et al. Quantum mechanical algorithm for solving quadratic residueequation [ J ]. International Journal of Theoretical Physics, 2009, 48: 3262-3267.Quantum mechanical al
Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique to solve problems which need optimization. Generation of ...
It includes algorithms such as Shor's algorithm, Grover's algorithm, Deutsch-Jozsa algorithm, Simon's algorithm, and Bernstein-Vazirani algorithm, which provide exponential or quadratic speedup for solving specific problems. These algorithms have applications in various areas of computer science. AI ...
Here we favor the original quadratic formulation, since we explicitly need the filling-in effect of a nonrobust regularizer to fill in the information in masked regions. To overcome the problem of having a nonconvex energy in (13.5), the coarse-to-fine warping scheme can be used as ...
of 2n − 3 two-qubit gates in this sequence. The linear (\({{{\mathcal{O}}}{(n)}\)) circuit depth (the number of two-qubit gate cycles) as a result of using QuAND gates manifests a scaling advantage over the quadratic depth when using only CNOT gates14. Note that the an...
This equation implies that θq is an integer multiple of 2π. That is, without loss of generality, θq = 2πp, where p is a non-negative integer between 0 and q − 1. Therefore, $$\theta =\frac{2\pi p}{q},$$ (15) which implies that θ ∈ Fq ⊆ Fn, as required....
This hydraulic problem requires a set of \(n_{{\text{n}}} *n_{{\text{l}}}\) (being \(n_{{\text{n}}}\) and \(n_{{\text{l}}}\) the number of nodes and links of the PIN) quadratic equations that must satisfy the equation of conservation of mass and energy are solved ...
We address the numerical solution of the Dirichlet problem for a partial differential equation involving the Jacobian determinant in two dimensions of space. The problem consists in finding a vector-valued function such that the determinant of its gradient is given point-wise in a bounded domain, ...
(t) of the cost function (3.15) is uniquely given by [24] w ∗ (t) = −R −1 B T xy(t), (3.16) and the quadratic optimal performance index is gotten by J ∗ (y(t 0 )) = 1 2 y T (t 0 )xy(t 0 ), (3.17) ...
The filtering algorithm is one of powerful procedures. In this study, filtering algorithms based on the Kalman filter and the projection filter are employed as procedures to solve the inverse problem. This inverse problem of one-dimensional heat conduction equation is discussed with the filtering ...