We reprove the result of Stone and DeRose, which gives the geometric classification of the affine type of an untrimmed Bézier curve, using classical algebraic geometry. We show how to derive the characterization of Stone and DeRose from three classical results: Bézout theorem, polynomial parametrization criterion and classification of the singularity type of an algebraic curve given in Weierstr...

When approximating a space curve, it is natural to consider whether the knot type of the original curve is preserved in the approximant. This preservation is of strong contemporary interest in computer graphics and visualization. We establish a criterion to preserve knot type under approximation that relies upon pointwise convergence and convergence in total curvature.

When approximating a space curve, it is natural to consider whether the knot type of the original curve is preserved in the approximant. This preservation is of strong contemporary interest in computer graphics and visualization. We establish a criterion to preserve knot type under approximation that relies upon convergence in both distance and total curvature.

When the boundary of the curve complex is connected any quasi-isometry is bounded distance from a simplicial automorphism. As a consequence, when the boundary is connected the quasi-isometry type of the curve complex determines the homeomorphism type of the surface.

Electrochemical machining (ECM) is a non-traditional technology that widely used in the manufacturing of key components aviation industry. The current efficiency defined as ratio observed amount dissolved metal to theoretical predicted from Faraday’s law. In ECM, curve relates dissolution rate anode material and density. Accurate measurement basis for shape prediction cathode tool design. Howev...

influenza a virus is now considered to be widespread in poultry and has demonstrated the ability to infect humans in iran. for laboratory diagnosis of these respiratory viruses, it is essential to have rapid methods, able to detect viruses in early stages of the infection in clinical specimens. the real-time reverse-transcription polymerase chain reaction n (rrt-pcr) assay has been established ...

varieties of st. john’s wort (hypericum perforatum l.) native to iran possess the largest percentage of hypercin in their leaves and flowers. isotherm curves show the relationship between the relative humidity and moisture content of the plant at a constant temperature. it is essential to understand the isotherms curves for successful storage and drying of the plant. this study used adsorption ...