Searching…
A bump function is a smooth function that is zero outside a compact set and one inside an open set. Learn how to construct bump functions using convolution, mollifiers, or characteristic functions.
To construct such a function, we can first take a bumpfunction g∂ supported near the boundary of supp(g); g∂ can be obtained from a sum of two small copies of g.
Nov 12, 2025 · A bump function is a smooth function that is one on an open set and zero outside a smaller open set containing it. Learn how bump functions are related to convolution, delta function and rescaling.
Alternatively, since smooth bumpfunctions have Fourier transforms, we can note that their Fourier transform is determined by being expressible as a convolution with the sinc function and falling off faster than any in...
Sep 12, 2024 · For instance, bumpfunctions can be used to construct partitions of unity, which can in turn be used to smoothly patch together local structures into a global structure without obstruction, as for exampl...
A bumpfunction is (perhaps not surprisingly) any function with a "bump". More rigorously, they equal 1 on a compact set and 0 elsewhere.
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
