Our starting point is the following question: To what extent is a function's value at a point x of a topological space determined by its values in an arbitrarily small (deleted) neighborhood of x? For ...

In this paper the existence of one-sided filters is proved for spectral Fourier approximations of discontinuous functions, which can recover spectral accuracy up to the discontinuity from one side. A ...

Hybrid manufacturing technique. 9T Labs has developed a hybrid manufacturing technique using its Additive Fusion Technology (AFT), positioning continuous fiber preforms in high-stress regions of a ...

This example illustrates some properties of splines. Splines are curves, which are usually required to be continuous and smooth. Splines are usually defined as piecewise polynomials of degree n with ...

One of the greatest impediments to efficient production of high-performance composite parts is part designs that incorporate compound curves. Painstaking and tedious darting and goring often are ...