Create the page "Pathological" on this wiki! See also the search results found.

• Complex analysis
  ...mber]]s, but, amazingly, this turns out to be not the case. There are many pathological functions of a real variable that cannot occur in complex variables. Here a
  2 KB (271 words) - 22:06, 12 April 2022
• Cauchy Functional Equation
  ...b R</math> over <math>\mathbb Q</math>. As a result, these functions are "pathological" -- in particular, it is not possible to write down a formula for any such
  2 KB (295 words) - 13:57, 22 July 2009
• Lebesgue integral
  ..., a huge improvement over Riemann's integral. These functions include such pathological functions as [[Dirichlet's function]]. In fact, even if <math>D_f</math> is
  892 bytes (130 words) - 21:10, 20 February 2009
• Real analysis
  ...te that courses in real analysis also spend considerable amount of time on pathological examples with little concern for applications, and one also aims to general
  9 KB (1,409 words) - 02:41, 30 May 2023