Content deleted Content added
m →Further reading: Journal cites:, added 1 PMID |
Remove one submarine link. I think linking the text "region of space" to manifold here is more confusing than helpful. Of course, feel free to revert if you disagree. |
||
Line 1:
{{distinguish|functional integration (neurobiology)}}
'''Functional integration''' is a collection of results in [[mathematics]] and [[physics]] where the [[___domain (mathematics)|___domain]] of an [[integral]] is no longer a
In an [[Lebesgue integration|ordinary integral]] there is a function to be integrated (the integrand) and a region of space over which to integrate the function (the ___domain of integration). The process of integration consists of adding up the values of the integrand for each point of the ___domain of integration. Making this procedure rigorous requires a limiting procedure, where the ___domain of integration is divided into smaller and smaller regions. For each small region, the value of the integrand cannot vary much, so it may be replaced by a single value. In a functional integral the ___domain of integration is a space of functions. For each function, the integrand returns a value to add up. Making this procedure rigorous poses challenges that continue to be topics of current research.
| |||