The present paper is devoted to the investigation of the properties of the space of distributions with discontinuous test functions of several variables. The consideration of discontinuous test ...

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 ...

Perhaps nothing in mathematics is more useful for physics, chemistry, biology and engineering than differential equations. Isaac Newton had to invent calculus so he could write down the first such ...

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 ...