Background: Accurate phase unwrapping is a critical prerequisite for successful applications in phase-related MRI, including quantitative susceptibility mapping (QSM) and susceptibility weighted ...

Consider an unknown polynomial of degree m. You would require m+1 roots of the polynomial to solve for the coefficients, represented as k = m + 1. f(x) is the polynomial function m is the degree of ...

Abstract: Polynomial Lyapunov function $\mathcal{V}({\mathbf{x}})$ provides mathematically rigorous that converts stability analysis into efficiently solvable optimization problem. Traditional ...

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

Abstract: This paper proposes a polynomial based impacttime-control guidance (ITCG) law designed to retain a degree of optimality in target interception. Building on previous research, the proposed ...