I’ve just come back from the big annual-ish category theory meeting, Category Theory 2014 in Cambridge, also attended by Café hosts Emily and Simon. The talk I gave there was called The categorical ...

In this document are given outlines and examples of several related implementations of Lebesgue integration, [1], within the framework of NIntegrate, [7]. The focus is on the implementations of ...

This is a simple Python implementation of the Lebesgue Integral using first principles. Not many examples are available that discuss the method of computing Lebesgue integral using first principles.

Riemann's theory of integration -- The development of Riemann's ideas: 1870-80 -- Set theory and the theory of integration -- The end of the century: a period of transition -- The creation of modern ...

Abstract: We consider nonlinear, or "event-dependent", sampling, i.e. such that the sampling instances {t k} depend on the function being sampled. The use of such sampling in the construction of ...

I’ve just arXived a new paper: The categorical origins of Lebesgue integration (arXiv:2011.00412). Longtime Café readers may remember that I blogged about this stuff back in 2014, but I’ve only just ...