Piecewise Smooth Curves Research Articles

On wave fields and acute-angled edges on wave fronts in an anisotropic medium from a point source: PMM vol. 36, n≗5, 1972, pp. 927–934

In addition to the results in [1], wave fields of quasi-longitudinal and quasitransverse elastic vibrations from a point source of an instantaneous pulse type are studied in an anisotropic medium with four elastic constants. Cases are considered when the wave fronts are convex closed curves and when the inner front consists of piecewise-smooth curves forming acute-angled edges.

The Jordan Curve Theorem for Piecewise Smooth Curves

The Jordan Curve Theorem for Piecewise Smooth Curves

The Jordan Curve Theorem for Piecewise Smooth Curves

(1969). The Jordan Curve Theorem for Piecewise Smooth Curves. The American Mathematical Monthly: Vol. 76, No. 6, pp. 605-610.