In this paper, the high-frequency diffraction of a plane wave incident along planar boundary turning into smooth convex contour, so that curvature undergoes jump, is asymptotically analysed. An approach modifying Fock parabolic-equation method developed. Asymptotic formulas for wavefield in illuminated area, shadow, and penumbra are derived. The penumbral field characterized by novel previously...

Bibliography for Popov v Hayashi in AI and Law and selected AI and Law papers on the wild animals cases.

We propose a generalisation of the Faddeev-Popov trick for Yang-Mills fields in the Landau gauge. The gauge-fixing is achieved as a genuine change of variables. In particular the Jacobian that appears is the modulus of the standard Faddeev-Popov determinant. We give a path integral representation of this in terms of auxiliary bosonic and Grassman fields extended beyond the usual set for standar...

Abstract. This paper deals with the stability analysis of fuzzy logic control (FLC) systems. The output characteristic of this class of controllers is nonlinear, thus it is necessary to use stability analysis methods for nonlinear systems. Here we use the Popov criterion. The systems analysed have a FLC with two input variables and one output variable, resulting in a surface as the nonlinear ou...

Six extracts with different polarity from aerial parts and rhizomes of Eremostachys azerbaijanica Rech.f., were screened for their antimalarial properties by cell free 𝛽-hematin formation assay. Dichloromethane (DCM) extracts of both parts of plant showed significant antimalarial activities with IC50 values of 0.949 ± 0.061 mg/mL in aerial parts and 0.382 ± 0.011 mg/mL in rhizomes. Bioactivity-...