[en] Facets must be machined at the end of gear teeth. The shaping of facets by single-turn worm mills is considered in detail. Deficiencies are found in familiar design methods for such mills. Formulas are proposed for the calculation of single-turn worm mills used in machining conical round-tooth gears.

[en] The calculation and construction of the optical waveguides with special profiles (conic and quasi-conic) are presented. The realization of the various structures of glass and plexiglass optical waveguides, which are transparent for the wavelength used, is analysed. Calculation relations for various cases, conical-waveguide, sectioned and parabolic conical waveguide were obtained. (author)

[en] The present work continues our previous paper in which all possible triangulations of the plane using three pencils of circles were listed. In the present article we find all projectively distinct triangulations of the plane by pencils of conics that are obtained by projecting regular three-webs, cut out on a nondegenerate cubic surface by three pencils of planes, whose axes lie on this surface. Bibliography: 6 titles

[en] The notion of separation is extended here to include separation by a cone. It is shown that two closed cones, one of them acute and convex, can be strictly separated by a convex cone, if they have no point in common. As a matter of fact, an infinite number of convex closed acute cones can be constructed so that each of them is a separating cone

[en] The authors have recently presented evidence for dynamic recrystallization in a cooper shaped charge by comparing the grain structure and substructure of the original liner cone with cross section views of a slug and jet recovered from a similar, detonated copper liner cone. Here the authors present comparisons of microstructures for an annealed, undetonated tantalum shaped charge liner cone with cross sectional views of a recovered slug, and a jet fragment from a detonated tantalum liner cone. These observations provide even more compelling evidence for dynamic recrystallization in the shaped charge regime, and suggest that dynamic recrystallization constitutes the most apparent mechanism characterizing shaped charge and related explosively formed penetrator deformation phenomena, as recently suggested by Meyers, et al in the extreme deformation of pre-shock-hardened copper

[en] Using the “complexity equals action” (CA) conjecture, for an ordinary charged system, it has been shown that the late-time complexity growth rate is given by a difference between the value of ${\mathrm{\Phi }}_{H}Q+{\mathrm{\Omega }}_{H}J$ on the inner and outer horizons. In this paper, we investigate the complexity of the boundary quantum system with conical deficits. From the perspective of holography, we consider charged accelerating black holes which contain conical deficits on the north and south poles in the bulk gravitational theory and evaluate the complexity growth rate using the CA conjecture. As a result, the late-time growth rate of complexity is different from the ordinary charged black holes. It implies that complexity can carry the information of conical deficits on the boundary quantum system.

[en] A machine tool is claimed for machining sheaths too long for a lathe. It comprises two concentric shafts, one rotating, the other sliding. The rotating shaft bear an oblique sliding tool-holder parallel to the machining direction

[en] The need often arises for determining the critical chemical concentration of uranium solution in the conical bottom of a plant reactor or storage vessel, or the dimension if the concentration is known. This report describes the mathematical analysis of Poisson's equation for a spherical sector, which approximates a right circular cone. The ratio of the critical dimension of an equivalent sphere to the height of the sector for various sector angles is derived from a comparison of first eigenvalues. No description of further relations between composition and dimensions is discussed in the report

[en] A wide range of techniques in which the information is transferred by conical (nonspherical and nonplanar) wave fronts is considered. This is the first summary of papers published in the field of mesooptics and optical tomography. After the introduction into the new branch of modern optics - mesooptics -the properties of conical wavefronts are treated in detail. Some possible applications of mesooptics in science and technology are considered. The long history of mesooptics treated in the last chapter of this review lecture goes from the early stage of our Universe, gravitational lens, first publications in the last century and up-to-date innovations in optics, mesooptics and optical tomography. 3 refs

[en] An extensive experimental investigation of buckling of conical shells that are supported only along their lower edge and that are loaded by the weight of a liquid leads to diagrams and formulas which can be used directly in the design of such shells. The margin of safety to be applied, the influence of welding stresses and the limitations on the validity of the formulas for structures with different boundary conditions are discussed. (orig.)