We introduce a new technique to optimize a linear cost function subject to an affine homogeneous quadratic integral inequality, i.e., the requirement that a homogeneous quadratic integral functional ...

This paper presents an object identification. The PEC sphere which is coated by different dielectrics is determined through poles extracted by using a Cauchy method. Simulations were conducted to ...

In this paper, we give a nonabsolute dominated convergence theorem for the K-H integral on the real line. Furthermore, as the converse part, we also give a corresponding Riesz type definition of the K ...

Applications of the residue theorem, Montel's theorem, Cauchy-estimates, solutions to d-bar, Runge's theorem, Cousin I and II, Ahlfors-Schwarz-Pick Lemma, Riemann Mapping Theorem, Möbius ...

Using the Cauchy–Schwarz inequality, we have an upper bound of : On the other hand, is a lower bound of : As a result, the dimensionality is bounded as Under random sampling, L remains fixed. Thus, we ...

Mathematics is the universal language of science while computer science is the study of the hardware and algorithms that are used in modern computer systems. Since many of the early pioneers of ...

Functions of a Complex Variable (J W Elliott) Integral Transforms (J W Elliott) Asymptotic Expansion of Integrals (R H Self) Wave Motion: The Wiener–Hopf Technique (M C M Wright) Waveguides (M McIver ...

Summary The Cauchy-Goursat theorem states that for any holomorphic function defined in a simply connected domain, the complex integral over any closed contour within that domain is zero. The proof ...

According to Cauchy’s integral formula, the sum of the residues of ω is equal to the integral of (2π i) −1 ω around the perimeter. Observe that each of the cut lines α, β, γ and δ is traversed twice, ...