Abstract: Discontinuities in data often provide vital information, and representing these discontinuities sparsely is an important goal for approximation and compression algorithms. Little work has ...

System must provide a range of functions, including continuous ones and those with discontinuity. System must provide calculations if there is no discontinuity on the chosen range of a function.

Abstract: The structure of seismic discontinuities in the mantle transition zone at depths of about 400 and 670 km provides important constraints on mantle convection as the associated mineral phase ...

Recall that a function \(f\) is continuous at a number \(a\) if \(\displaystyle \lim_{x\to a}f(x)=f(a)\text{.}\) Alternatively, a function \(f\) is continuous at a ...

smooth functions and in their derivatives. The method is constructed from a local stencil of grid point values and is based on a polynomial annihilation technique. By varying the order of the method ...

Let 𝓟 be an ideal of closed subsets of a T₁ topological space X. Suppose C(X)𝓟 is the ring of all real-valued functions on X whose closure of discontinuity set is a member of 𝓟. We investigate a ...