0
votes
2answers
104 views

Can a monotone exponentially decreasing function be uniformely approximated bt Gaussians?

This question originates an engineering application. There is a certain process that is presumed to be a sequence of diffusions and is usually modelled as a sum of Gaussians: $$\Sigma_n ...
4
votes
7answers
1k views

Is Riemannian integration sufficient in physics?

Are there any applications in physics or engineering which require the Lebesgue integral and cannot be treated by Riemannian integration
26
votes
18answers
6k views

Interesting applications (in pure mathematics) of first-year calculus

What interesting applications are there for theorems or other results studied in first-year calculus courses? A good example for such an application would be using a calculus theorem to prove a ...