Perturbation problem beyond all orders
id:
perturbation-problem-beyond-all-orders-201-9594241
title:
Perturbation problem beyond all orders
text:
In mathematics, perturbation theory works typically by expanding unknown quantity in a power series in a small parameter. However, in a perturbation problem beyond all orders, all coefficients of the perturbation expansion vanish and the difference between the function and the constant function 0 cannot be detected by a power series. A simple example is understood by an attempt at trying to expand e − 1 / ϵ in a Taylor series in ϵ > 0 about 0. All terms in a naïve Taylor expansion are identicall
brand slug:
wiki
category slug:
encyclopedia
description:
Type of perturbation problem
original url:
https://en.wikipedia.org/wiki/Perturbation_problem_beyond_all_orders
date created:
date modified:
2022-10-05T20:09:27Z
main entity:
{"identifier":"Q7170953","url":"https://www.wikidata.org/entity/Q7170953"}
image:
fields total:
13
integrity:
14